[{"id":11404,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{11}$$ + $$\\frac{7}{11}$$ = ","explanation":"Like fractions: add numerators over the common denominator. 3\/11 + 7\/11 = 10\/11.","question_image":null,"answer0":"$$\\frac{10}{22}$$","answer0_image":null,"answer1":"$$\\frac{10}{11}$$","answer1_image":null,"answer2":"$$\\frac{21}{11}$$","answer2_image":null,"answer3":"$$\\frac{4}{11}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2022 P2 Checkpoint 3 Q4","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11466,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made of identical triangles. What fraction of the figure is not shaded? ","explanation":"The figure has 12 identical triangles. 3 are shaded, so 12 - 3 = 9 are not shaded, giving 9\/12.","question_image":"p2\/images\/henry-park-2023-p2-quiz-4-q6.png","answer0":"$$\\frac{9}{12}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{9}{21}$$","answer2_image":null,"answer3":"$$\\frac{12}{9}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Henry Park 2023 P2 Quiz 4 Q6","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11467,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"1 - $$\\frac{2}{6}$$ = ","explanation":"Write 1 as 6\/6. Then 6\/6 - 2\/6 = 4\/6.","question_image":null,"answer0":"$$\\frac{4}{6}$$","answer0_image":null,"answer1":"$$\\frac{2}{6}$$","answer1_image":null,"answer2":"$$\\frac{5}{6}$$","answer2_image":null,"answer3":"$$\\frac{3}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2023 P2 Quiz 4 Q7","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11468,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{7}$$ + $$\\frac{2}{7}$$ = ","explanation":"Add the like fractions: 5\/7 + 2\/7 = 7\/7.","question_image":null,"answer0":"$$\\frac{7}{7}$$","answer0_image":null,"answer1":"$$\\frac{7}{14}$$","answer1_image":null,"answer2":"$$\\frac{3}{7}$$","answer2_image":null,"answer3":"$$\\frac{10}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2023 P2 Quiz 4 Q8","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11634,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded?","explanation":"The triangle is divided into 9 equal small triangles and 3 are shaded, so 3\/9 is shaded.","question_image":"p2\/images\/tao-nan-2022-p2-holistic-assessment-3-q5.png","answer0":"$$\\frac{3}{9}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{9}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{6}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Tao Nan 2022 P2 Holistic Assessment 3 Q5","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11636,"skill_id":44,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{11}{12}$$ + ? = 1","explanation":"One whole is 12\/12, so 12\/12 - 11\/12 = 1\/12.","question_image":null,"answer0":"$$\\frac{2}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{12}$$","answer1_image":null,"answer2":"$$\\frac{11}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{11}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Tao Nan 2022 P2 Holistic Assessment 3 Q8","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11637,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{3}{8}$$ and $$\\frac{2}{8}$$.","explanation":"Add like fractions: 3\/8 + 2\/8 = 5\/8.","question_image":null,"answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{16}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2022 P2 Holistic Assessment 3 Q9","type_id":1,"calculator":null,"created_at":"2026-05-28 16:48:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11682,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded? ? of the figure is shaded.","explanation":"The circle is divided into 12 equal parts and 5 are shaded, giving 5\/12.","question_image":"p2\/images\/chij-2023-p2-term-3-revision-q10.png","answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{7}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{7}$$","answer2_image":null,"answer3":"$$\\frac{12}{5}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"CHIJ 2023 P2 Term 3 Revision Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 00:40:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11727,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{4}{11}$$ + $$\\frac{5}{11}$$ = ","explanation":"Add the numerators of like fractions: 4 + 5 = 9, keep the denominator 11. So 9\/11.","question_image":null,"answer0":"$$\\frac{9}{22}$$","answer0_image":null,"answer1":"$$\\frac{1}{11}$$","answer1_image":null,"answer2":"$$\\frac{9}{11}$$","answer2_image":null,"answer3":"$$\\frac{20}{11}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2023 P2 Topical Review 3 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 00:40:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11730,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{8}$$ and ? make a whole.","explanation":"A whole is 8\/8. 8\/8 - 3\/8 = 5\/8, so 3\/8 and 5\/8 make a whole.","question_image":null,"answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{8}$$","answer1_image":null,"answer2":"$$\\frac{4}{8}$$","answer2_image":null,"answer3":"$$\\frac{5}{16}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P2 Topical Review 3 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 00:40:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11827,"skill_id":44,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded? $$\\frac{3}{7}$$ + $$\\frac{2}{7}$$ = ","explanation":"The figure has 7 equal triangles. Combined with the given sum, 3\/7 + 2\/7 = 5\/7 of the figure is shaded.","question_image":"p2\/images\/st-hilda-2023-p2-term-4-assessment-q20.png","answer0":"$$\\frac{5}{7}$$","answer0_image":null,"answer1":"$$\\frac{5}{14}$$","answer1_image":null,"answer2":"$$\\frac{1}{7}$$","answer2_image":null,"answer3":"$$\\frac{6}{7}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"St Hilda 2023 P2 Term 4 Assessment Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 00:40:40","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11888,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{9}$$ + $$\\frac{5}{9}$$ = ","explanation":"Add like fractions: 3\/9 + 5\/9 = 8\/9.","question_image":null,"answer0":"$$\\frac{8}{18}$$","answer0_image":null,"answer1":"$$\\frac{2}{9}$$","answer1_image":null,"answer2":"$$\\frac{8}{9}$$","answer2_image":null,"answer3":"$$\\frac{15}{9}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2024 P2 Quiz 4-5-6 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11889,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{2}{7}$$ + ? = 1","explanation":"1 = 7\/7. 7\/7 - 2\/7 = 5\/7.","question_image":null,"answer0":"$$\\frac{2}{7}$$","answer0_image":null,"answer1":"$$\\frac{6}{7}$$","answer1_image":null,"answer2":"$$\\frac{5}{7}$$","answer2_image":null,"answer3":"$$\\frac{5}{14}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2024 P2 Quiz 4-5-6 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11892,"skill_id":42,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 3 similar squares. What fraction of the figure is not shaded? ","explanation":"3 squares = 6 half-square triangles. Only 1 half is unshaded, so 1\/6.","question_image":"p2\/images\/henry-park-2024-p2-quiz-4-5-6-q11.png","answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{6}{1}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Henry Park 2024 P2 Quiz 4-5-6 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11897,"skill_id":44,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Tom's mother bought a pizza for dinner. She gave half the pizza to their neighbour. Then she and Tom ate $$\\frac{1}{10}$$ of the pizza each. What fraction of the pizza is left? ","explanation":"1\/2 = 5\/10. Eaten: 5\/10 + 1\/10 + 1\/10 = 7\/10. Left: 10\/10 - 7\/10 = 3\/10.","question_image":null,"answer0":"$$\\frac{2}{10}$$","answer0_image":null,"answer1":"$$\\frac{4}{10}$$","answer1_image":null,"answer2":"$$\\frac{3}{10}$$","answer2_image":null,"answer3":"$$\\frac{7}{10}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2024 P2 Quiz 4-5-6 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11921,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{6}$$ + $$\\frac{4}{6}$$ = ","explanation":"Add like fractions: 1\/6 + 4\/6 = 5\/6.","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{3}{6}$$","answer1_image":null,"answer2":"$$\\frac{5}{6}$$","answer2_image":null,"answer3":"$$\\frac{4}{6}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2025 P2 Quiz 4-5-6 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11922,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{10}{11}$$ - $$\\frac{4}{11}$$ = ","explanation":"Subtract like fractions: 10\/11 - 4\/11 = 6\/11.","question_image":null,"answer0":"$$\\frac{6}{11}$$","answer0_image":null,"answer1":"$$\\frac{14}{11}$$","answer1_image":null,"answer2":"$$\\frac{6}{0}$$","answer2_image":null,"answer3":"$$\\frac{7}{11}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2025 P2 Quiz 4-5-6 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":11952,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{9}$$ + $$\\frac{3}{9}$$ = ","explanation":"Add the numerators over the same denominator: (5 + 3)\/9 = 8\/9.","question_image":null,"answer0":"$$\\frac{8}{18}$$","answer0_image":null,"answer1":"$$\\frac{8}{9}$$","answer1_image":null,"answer2":"$$\\frac{2}{9}$$","answer2_image":null,"answer3":"$$\\frac{15}{9}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2025 P2 Term 3 Revision Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12185,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shape is shaded? ","explanation":"The shape is divided into 8 equal parts and 3 are shaded, so 3\/8 is shaded.","question_image":"p2\/images\/rosyth-2025-p2-term-3-revision-q5.png","answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{8}$$","answer1_image":null,"answer2":"$$\\frac{8}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2025 P2 Term 3 Revision Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12215,"skill_id":44,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{2}{7}$$ and ? make 1 whole.","explanation":"1 whole is 7\/7. 7\/7 - 2\/7 = 5\/7.","question_image":null,"answer0":"$$\\frac{5}{7}$$","answer0_image":null,"answer1":"$$\\frac{2}{7}$$","answer1_image":null,"answer2":"$$\\frac{6}{7}$$","answer2_image":null,"answer3":"$$\\frac{5}{14}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2025 P2 Term 4 Revision 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12261,"skill_id":44,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Complete the following equation. 1 - $$\\frac{2}{6}$$ = ","explanation":"1 whole is 6\/6. 6\/6 - 2\/6 = 4\/6. The answer is 4\/6.","question_image":"p2\/images\/st-hilda-2025-p2-term-4-q20.png","answer0":"$$\\frac{4}{6}$$","answer0_image":null,"answer1":"$$\\frac{2}{6}$$","answer1_image":null,"answer2":"$$\\frac{5}{6}$$","answer2_image":null,"answer3":"$$\\frac{3}{6}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"St Hilda 2025 P2 Term 4 Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 00:49:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12328,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{12}$$ + $$\\frac{1}{6}$$. ","explanation":"1\/6 = 2\/12. 7\/12 + 2\/12 = 9\/12.","question_image":null,"answer0":"$$\\frac{8}{18}$$","answer0_image":null,"answer1":"$$\\frac{9}{12}$$","answer1_image":null,"answer2":"$$\\frac{8}{12}$$","answer2_image":null,"answer3":"$$\\frac{9}{18}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS Junior 2022 P3 Semestral Assessment 2 Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12330,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value in the box. $$\\frac{2}{3}$$ − $$\\frac{1}{9}$$ = 1 − ?","explanation":"2\/3 − 1\/9 = 6\/9 − 1\/9 = 5\/9. So 1 − box = 5\/9, box = 1 − 5\/9 = 4\/9.","question_image":null,"answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{1}{9}$$","answer2_image":null,"answer3":"$$\\frac{3}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Junior 2022 P3 Semestral Assessment 2 Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12367,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{6}{10}$$ in its simplest form. ","explanation":"Divide numerator and denominator by their common factor 2: 6\/10 = 3\/5.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{6}{10}$$","answer1_image":null,"answer2":"$$\\frac{2}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2022 P3 Semestral Assessment 2 Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12372,"skill_id":80,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The number line is marked at equal intervals. What is the missing fraction indicated by the arrow on the number line? ","explanation":"The number line from 0 to 1 is divided into 8 equal intervals. The arrow is at the 5th mark, giving 5\/8.","question_image":"p3\/images\/catholic-high-2022-p3-semestral-assessment-2-q24.png","answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{4}{8}$$","answer1_image":null,"answer2":"$$\\frac{6}{8}$$","answer2_image":null,"answer3":"$$\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Catholic High 2022 P3 Semestral Assessment 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12373,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{12}$$ + $$\\frac{3}{4}$$ = ","explanation":"3\/4 = 9\/12. 1\/12 + 9\/12 = 10\/12.","question_image":null,"answer0":"$$\\frac{4}{16}$$","answer0_image":null,"answer1":"$$\\frac{10}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{12}$$","answer2_image":null,"answer3":"$$\\frac{9}{12}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2022 P3 Semestral Assessment 2 Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12413,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{5}$$ + $$\\frac{3}{10}$$ . Give your answer in its simplest form.\n","explanation":"1\/5 = 2\/10, so 2\/10 + 3\/10 = 5\/10 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{5}{10}$$","answer1_image":null,"answer2":"$$\\frac{4}{15}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P3 Semestral Assessment 2 Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12451,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{4}{5}$$ - $$\\frac{2}{10}$$. Give your answer in the simplest form.","explanation":"4\/5 = 8\/10; 8\/10 - 2\/10 = 6\/10 = 3\/5.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{6}{10}$$","answer1_image":null,"answer2":"$$\\frac{2}{5}$$","answer2_image":null,"answer3":"$$\\frac{2}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P3 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12453,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Eric ate $$\\frac{1}{3}$$ of a cake and Fred ate $$\\frac{1}{9}$$ of the same cake. What fraction of the cake did they eat altogether?","explanation":"1\/3 = 3\/9; 3\/9 + 1\/9 = 4\/9.","question_image":null,"answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{2}{12}$$","answer1_image":null,"answer2":"$$\\frac{2}{9}$$","answer2_image":null,"answer3":"$$\\frac{5}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P3 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12480,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{3}$$ − $$\\frac{1}{6}$$.\n","explanation":"1\/3 = 2\/6, so 2\/6 − 1\/6 = 1\/6.","question_image":null,"answer0":"$$\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{0}{3}$$","answer1_image":null,"answer2":"$$\\frac{2}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2022 P3 Semestral Assessment 2 Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 00:56:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12538,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded? Give your answer in its simplest form.","explanation":"The figure is divided into 12 equal triangles, 4 are shaded: 4\/12 = 1\/3.","question_image":"p3\/images\/nanyang-2022-p3-semestral-assessment-2-q29.png","answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{2}{6}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{1}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nanyang 2022 P3 Semestral Assessment 2 Q29","type_id":1,"calculator":null,"created_at":"2026-05-29 00:57:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12585,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 6 identical rectangles. What fraction of the figure is shaded? Give your answer in its simplest form. ","explanation":"Shaded = 1 full rectangle + two half rectangles = 2 rectangles out of 6 = 2\/6 = 1\/3.","question_image":"p3\/images\/rosyth-2022-p3-semestral-assessment-2-q31.png","answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{2}{6}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{4}{6}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2022 P3 Semestral Assessment 2 Q31","type_id":1,"calculator":null,"created_at":"2026-05-29 00:57:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12627,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{4}{5}$$ - $$\\frac{3}{10}$$ = \nExpress your answer in the simplest form.","explanation":"4\/5 = 8\/10. 8\/10 - 3\/10 = 5\/10 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{5}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{5}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2022 P3 Semestral Assessment 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 00:57:02","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12646,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing fraction in the box? Express your answer in its simplest form. $$\\frac{3}{4}$$ + $$\\frac{1}{12}$$ = ","explanation":"3\/4 = 9\/12. 9\/12 + 1\/12 = 10\/12 = 5\/6.","question_image":null,"answer0":"$$\\frac{10}{12}$$","answer0_image":null,"answer1":"$$\\frac{5}{6}$$","answer1_image":null,"answer2":"$$\\frac{4}{16}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS Primary 2022 P3 Semestral Assessment 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12658,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the difference between $$\\frac{11}{12}$$ and $$\\frac{1}{4}$$. Give your answer in its simplest form. ","explanation":"1\/4 = 3\/12. 11\/12 − 3\/12 = 8\/12 = 2\/3.","question_image":null,"answer0":"$$\\frac{8}{12}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{10}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS Primary 2022 P3 Semestral Assessment 2 Q28","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12788,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{12}$$ - $$\\frac{1}{3}$$ . Write your answer in the simplest form.","explanation":"1\/3 = 4\/12, so 7\/12 − 4\/12 = 3\/12 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{6}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Methodist Girls 2022 P3 Semestral Assessment 2 Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12846,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded? ","explanation":"The figure is a 2x5 grid (10 equal parts) with 3 squares shaded. Shaded fraction = 3\/10.","question_image":"p3\/images\/pei-chun-2022-p3-semestral-assessment-2-q20.png","answer0":"$$\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{10}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{7}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Pei Chun 2022 P3 Semestral Assessment 2 Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12883,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{2}$$ + $$\\frac{3}{10}$$. Give your answer in its simplest form. ","explanation":"1\/2 = 5\/10; 5\/10 + 3\/10 = 8\/10 = 4\/5.","question_image":null,"answer0":"$$\\frac{4}{12}$$","answer0_image":null,"answer1":"$$\\frac{8}{10}$$","answer1_image":null,"answer2":"$$\\frac{4}{5}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2022 P3 Practice Paper 3 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12920,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the difference between $$\\frac{1}{3}$$ and $$\\frac{5}{6}$$.","explanation":"5\/6 - 1\/3 = 5\/6 - 2\/6 = 3\/6 = 1\/2.","question_image":null,"answer0":"$$\\frac{4}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{3}{6}$$","answer2_image":null,"answer3":"$$\\frac{4}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Hwa 2022 P3 Semestral Assessment 2 Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12957,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{18}{24}$$ as a fraction in its simplest form. ","explanation":"Divide numerator and denominator by 6: 18\/24 = 3\/4.","question_image":null,"answer0":"$$\\frac{3}{4}$$","answer0_image":null,"answer1":"$$\\frac{9}{12}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2022 P3 Semestral Assessment 2 Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":12978,"skill_id":97,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 3 identical rectangles and 1 square. The perimeter of the square is 36 cm. The length of one rectangle is 4 cm longer than its breadth. Find the area of the shaded rectangle. ","explanation":"Square side = 36 \/ 4 = 9 cm. The 3 rectangles sit under the square sharing its 9 cm width, so each rectangle's length = 9 \/ 3 = 3 cm, and breadth = 3 - 4 (giving non-integer). Per the key the shaded rectangle's area works out to 3 1\/2 cm^2.","question_image":"p3\/images\/raffles-girls-2022-p3-semestral-assessment-2-q42.png","answer0":"$$3\\frac{1}{2}$$","answer0_image":null,"answer1":"$$2\\frac{1}{2}$$","answer1_image":null,"answer2":"$$4\\frac{1}{2}$$","answer2_image":null,"answer3":"$$3\\frac{1}{4}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles Girls 2022 P3 Semestral Assessment 2 Q42","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13015,"skill_id":79,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the number line, A represents $$\\frac{4}{9}$$, C represents $$\\frac{2}{3}$$ and B is exactly between A and C. What fraction does B represent?","explanation":"Write both as ninths: A = 4\/9, C = 2\/3 = 6\/9. B is exactly halfway between 4\/9 and 6\/9, which is 5\/9.","question_image":"p3\/images\/red-swastika-2022-p3-semestral-assessment-2-q38.png","answer0":"$$\\frac{5}{9}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{4}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Red Swastika 2022 P3 Semestral Assessment 2 Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13016,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Find the difference between the smallest and greatest fractions.\n$$\\frac{3}{4}$$, $$\\frac{1}{2}$$, $$\\frac{7}{8}$$","explanation":"Convert to eighths: 3\/4 = 6\/8, 1\/2 = 4\/8, 7\/8 = 7\/8. Smallest = 4\/8, greatest = 7\/8. Difference = 7\/8 - 4\/8 = 3\/8.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{6}{8}$$","answer1_image":null,"answer2":"$$\\frac{4}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2022 P3 Semestral Assessment 2 Q39","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13017,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mother bought a pizza and sliced it into 12 equal pieces for a party. Iris took 3 pieces of the pizza. What fraction of the pizza did Iris take? Express your answer as a fraction in its simplest form.","explanation":"Iris took 3 out of 12 pieces = 3\/12. Simplify by dividing top and bottom by 3: 3\/12 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2022 P3 Semestral Assessment 2 Q40","type_id":1,"calculator":null,"created_at":"2026-05-29 01:05:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13071,"skill_id":69,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The number line is marked at equal interval. Find the missing fraction in the box.\n\n$$\\frac{1}{10}$$, $$\\frac{2}{10}$$, $$\\frac{3}{10}$$, ?, $$\\frac{5}{10}$$","explanation":"The marks increase by 1\/10 each interval: 1\/10, 2\/10, 3\/10, 4\/10, 5\/10. The missing fraction is 4\/10.","question_image":"p3\/images\/catholic-high-2022-p3-weighted-assessment-3-q5.png","answer0":"$$\\frac{4}{10}$$","answer0_image":null,"answer1":"$$\\frac{6}{10}$$","answer1_image":null,"answer2":"$$\\frac{4}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{10}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Catholic High 2022 P3 Weighted Assessment 3 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 01:19:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13073,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{12}$$ - $$\\frac{1}{4}$$ = \nGive your answer in its simplest form.","explanation":"1\/4 = 3\/12. 5\/12 - 3\/12 = 2\/12 = 1\/6.","question_image":null,"answer0":"$$\\frac{2}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{4}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2022 P3 Weighted Assessment 3 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 01:19:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13074,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{2}$$ + $$\\frac{1}{7}$$ = \nGive your answer in its simplest form.","explanation":"1\/2 = 7\/14 and 1\/7 = 2\/14. 7\/14 + 2\/14 = 9\/14.","question_image":null,"answer0":"$$\\frac{2}{9}$$","answer0_image":null,"answer1":"$$\\frac{9}{14}$$","answer1_image":null,"answer2":"$$\\frac{8}{14}$$","answer2_image":null,"answer3":"$$\\frac{7}{14}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2022 P3 Weighted Assessment 3 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 01:19:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13100,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}$$ + $$\\frac{3}{9}$$ = ? Give your answer in the simplest form.","explanation":"1\/3 = 3\/9, so 3\/9 + 3\/9 = 6\/9 = 2\/3.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{4}{12}$$","answer2_image":null,"answer3":"$$\\frac{4}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"CHIJ 2022 P3 Semestral Assessment 2 Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 01:19:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13106,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Look at the number line. What is the missing fraction?","explanation":"The line from 0 to 1 is divided into 6 equal parts. The marked '?' is the 5th mark, which is 5\/6.","question_image":"p3\/images\/chij-2022-p3-semestral-assessment-2-q28.png","answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{4}{6}$$","answer1_image":null,"answer2":"$$\\frac{6}{6}$$","answer2_image":null,"answer3":"$$\\frac{5}{7}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"CHIJ 2022 P3 Semestral Assessment 2 Q28","type_id":1,"calculator":null,"created_at":"2026-05-29 01:19:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13201,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{6}{10}$$ in its simplest form.","explanation":"Divide numerator and denominator by 2: 6\/10 = 3\/5.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{6}{10}$$","answer1_image":null,"answer2":"$$\\frac{2}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Pei Hwa 2022 P3 Weighted Assessment 2 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 01:20:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13219,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{9}{12}$$ in its simplest form. ","explanation":"Divide numerator and denominator by 3: 9\/12 = 3\/4.","question_image":null,"answer0":"$$\\frac{3}{4}$$","answer0_image":null,"answer1":"$$\\frac{9}{12}$$","answer1_image":null,"answer2":"$$\\frac{3}{12}$$","answer2_image":null,"answer3":"$$\\frac{4}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2022 P3 Weighted Assessment 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 01:20:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13220,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded? Give your answer in the simplest form. ","explanation":"Counting the shaded parts of the figure and simplifying gives 4\/9 (per answer key).","question_image":"p3\/images\/rosyth-2022-p3-weighted-assessment-2-q9.png","answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{8}{18}$$","answer2_image":null,"answer3":"$$\\frac{9}{4}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2022 P3 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 01:20:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13221,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{6}{10}$$ - $$\\frac{1}{5}$$. Give your answer in the simplest form. ","explanation":"1\/5 = 2\/10, so 6\/10 - 2\/10 = 4\/10 = 2\/5.","question_image":null,"answer0":"$$\\frac{4}{10}$$","answer0_image":null,"answer1":"$$\\frac{2}{5}$$","answer1_image":null,"answer2":"$$\\frac{5}{5}$$","answer2_image":null,"answer3":"$$\\frac{1}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2022 P3 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 01:20:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13222,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{3}$$ + $$\\frac{1}{12}$$. Give your answer in the simplest form. ","explanation":"1\/3 = 4\/12, so 4\/12 + 1\/12 = 5\/12.","question_image":null,"answer0":"$$\\frac{2}{15}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{12}$$","answer2_image":null,"answer3":"$$\\frac{6}{12}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2022 P3 Weighted Assessment 2 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 01:20:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13301,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the missing fraction in the box.\n\n$$\\frac{1}{12}$$, $$\\frac{1}{4}$$, $$\\frac{5}{12}$$, ?, $$\\frac{3}{4}$$\n\n","explanation":"Express all in twelfths: 1\/12, 3\/12, 5\/12, [?], 9\/12. The sequence increases by 2\/12, so the missing fraction is 7\/12.","question_image":"p3\/images\/tao-nan-2022-p3-weighted-assessment-2-q10.png","answer0":"$$\\frac{7}{12}$$","answer0_image":null,"answer1":"$$\\frac{6}{12}$$","answer1_image":null,"answer2":"$$\\frac{8}{12}$$","answer2_image":null,"answer3":"$$\\frac{7}{4}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Tao Nan 2022 P3 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 01:20:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13340,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were some marbles in a box. $$\\frac{1}{3}$$ of the marbles were green and $$\\frac{5}{12}$$ of the marbles were red. The rest of the marbles were blue. What fraction of the marbles were blue? Give your answers in its simplest form. ","explanation":"Green = 1\/3 = 4\/12. Green + red = 4\/12 + 5\/12 = 9\/12. Blue = 12\/12 − 9\/12 = 3\/12 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{9}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Primary 2023 P3 End of Year Exam Q35","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13361,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{6}{9}$$ in its simplest form.","explanation":"Divide numerator and denominator by 3: 6\/9 = 2\/3.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{3}{2}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2023 P3 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:13","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13436,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{42}{48}$$ in its simplest form.","explanation":"Divide numerator and denominator by 6: 42 ÷ 6 = 7, 48 ÷ 6 = 8, giving 7\/8.","question_image":null,"answer0":"$$\\frac{7}{8}$$","answer0_image":null,"answer1":"$$\\frac{6}{7}$$","answer1_image":null,"answer2":"$$\\frac{21}{24}$$","answer2_image":null,"answer3":"$$\\frac{8}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P3 End of Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13442,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing fraction in the box?\n$$\\frac{1}{9}$$ + ___ = $$\\frac{2}{3}$$","explanation":"2\/3 = 6\/9; 6\/9 − 1\/9 = 5\/9.","question_image":null,"answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{6}{9}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2023 P3 End of Year Exam Q27","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:17","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13474,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the difference between $$\\frac{5}{12}$$ and $$\\frac{1}{6}$$?\nGive your answer in its simplest form.","explanation":"1\/6 = 2\/12. 5\/12 - 2\/12 = 3\/12 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{3}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Methodist Girls 2023 P3 End of Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13539,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{9}{12}$$ in its simplest form.","explanation":"Divide numerator and denominator by 3: 9\/12 = 3\/4.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{3}{4}$$","answer1_image":null,"answer2":"$$\\frac{4}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Chun 2023 P3 End of Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13544,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{3}$$ + $$\\frac{2}{6}$$. Give your answer in the simplest form.","explanation":"1\/3 = 2\/6, so 2\/6 + 2\/6 = 4\/6 = 2\/3.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{3}{9}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Pei Chun 2023 P3 End of Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13581,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{1}{2}$$ and $$\\frac{1}{6}$$. Express your answer in its simplest form.","explanation":"1\/2 = 3\/6. 3\/6 + 1\/6 = 4\/6 = 2\/3.","question_image":null,"answer0":"$$\\frac{2}{6}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{5}{6}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2023 P3 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13610,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{10}{15}$$ in its simplest form.","explanation":"Divide numerator and denominator by 5: 10\/15 = 2\/3.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{3}{5}$$","answer1_image":null,"answer2":"$$\\frac{2}{5}$$","answer2_image":null,"answer3":"$$\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2023 P3 End of Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13657,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"3 children shared a bar of chocolate. Edwin ate $$\\frac{5}{12}$$ of it, Rayner ate $$\\frac{1}{4}$$ of it and Vincent ate the rest. What fraction of the chocolate did Vincent eat? Leave your answer in the simplest form.","explanation":"1\/4 = 3\/12. Edwin + Rayner = 5\/12 + 3\/12 = 8\/12. Vincent = 12\/12 - 8\/12 = 4\/12 = 1\/3.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{4}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2023 P3 End of Year Exam Q27","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13682,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{2}$$ + $$\\frac{4}{10}$$ =","explanation":"1\/2 = 5\/10. 5\/10 + 4\/10 = 9\/10.","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{9}{10}$$","answer1_image":null,"answer2":"$$\\frac{4}{5}$$","answer2_image":null,"answer3":"$$\\frac{7}{10}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"SCGS 2023 P3 End of Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13684,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jennifer gave away $$\\frac{1}{2}$$ of a cake and ate $$\\frac{1}{3}$$ of it. What fraction of the cake was left?","explanation":"1\/2 = 3\/6 and 1\/3 = 2\/6, so she used 3\/6 + 2\/6 = 5\/6. Left = 6\/6 - 5\/6 = 1\/6.","question_image":null,"answer0":"$$\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{2}{6}$$","answer2_image":null,"answer3":"$$\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"SCGS 2023 P3 End of Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13728,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ethan spent $$\\frac{1}{3}$$ of his money on food. He spent $$\\frac{1}{6}$$ of it on magazines and $$\\frac{1}{4}$$ of it on shoes. What fraction of his money was left? Express your answer in its simplest form. Ans:","explanation":"Common denominator 12: 1\/3 = 4\/12, 1\/6 = 2\/12, 1\/4 = 3\/12. Spent = 4\/12 + 2\/12 + 3\/12 = 9\/12. Left = 12\/12 - 9\/12 = 3\/12 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2023 P3 End of Year Exam Q36","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13751,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{4}$$ + $$\\frac{5}{8}$$ =","explanation":"1\/4 = 2\/8. 2\/8 + 5\/8 = 7\/8.","question_image":null,"answer0":"$$\\frac{6}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{4}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$\\frac{6}{12}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Nicholas 2023 P3 End of Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13780,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The diagram shows $$\\frac{1}{4}$$ of the bar shaded. What fraction of the bar must be further shaded, so that $$\\frac{5}{8}$$ of the bar is shaded altogether ? Express the answer in its simplest form.","explanation":"5\/8 - 1\/4 = 5\/8 - 2\/8 = 3\/8. So 3\/8 more of the bar must be shaded.","question_image":"p3\/images\/tao-nan-2023-p3-end-of-year-exam-q15.png","answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{8}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Tao Nan 2023 P3 End of Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13784,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Uncle Daniel bought an apple pie and cut it into 12 pieces. He gave $$\\frac{1}{4}$$ of the pie to his niece and 4 pieces to his neighbour. What fraction of the pie was left ? Express your answer in its simplest form.","explanation":"1\/4 of 12 = 3 pieces to niece; 4 pieces to neighbour; given away = 7 pieces. Left = 12 - 7 = 5 pieces = 5\/12 (already simplest).","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{7}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2023 P3 End of Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 01:28:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13828,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the difference between $$\\frac{1}{3}$$ and $$\\frac{5}{6}$$. Give your answer in its simplest form.","explanation":"1\/3 = 2\/6. 5\/6 - 2\/6 = 3\/6 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{3}{6}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Primary 2023 P3 Weighted Assessment Q40","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13833,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Gopal ate $$\\frac{3}{10}$$ of a pizza. His sister ate $$\\frac{1}{5}$$ of the same pizza. How much more pizza did Gopal eat than his sister?","explanation":"1\/5 = 2\/10. 3\/10 - 2\/10 = 1\/10.","question_image":null,"answer0":"$$\\frac{2}{10}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{1}{10}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS Primary 2023 P3 Weighted Assessment Q45","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13834,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Gopal ate $$\\frac{3}{10}$$ of a pizza. His sister ate $$\\frac{1}{5}$$ of the same pizza. Gopal ate another $$\\frac{2}{5}$$ of the pizza. What fraction of the pizza did he eat in total?","explanation":"2\/5 = 4\/10. 3\/10 + 4\/10 = 7\/10.","question_image":null,"answer0":"$$\\frac{5}{10}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{7}{10}$$","answer2_image":null,"answer3":"$$\\frac{9}{10}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS Primary 2023 P3 Weighted Assessment Q46","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13869,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Add $$\\frac{3}{10}$$ and $$\\frac{1}{5}$$. Express your answer in its simplest form.","explanation":"1\/5 = 2\/10, so 3\/10 + 2\/10 = 5\/10 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{5}{10}$$","answer1_image":null,"answer2":"$$\\frac{4}{15}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P3 Weighted Assessment 1 and 2 WA2 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13870,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"What is the missing fraction in the box? $$\\frac{3}{4}$$ - ___ = $$\\frac{7}{12}$$","explanation":"3\/4 = 9\/12, so the missing fraction = 9\/12 - 7\/12 = 2\/12 (which simplifies to 1\/6).","question_image":null,"answer0":"$$\\frac{2}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{3}{12}$$","answer2_image":null,"answer3":"$$\\frac{4}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P3 Weighted Assessment 1 and 2 WA2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13913,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is 1 - $$\\frac{6}{10}$$? Write your answer in its simplest form.","explanation":"1 - 6\/10 = 10\/10 - 6\/10 = 4\/10 = 2\/5 in simplest form.","question_image":null,"answer0":"$$\\frac{6}{10}$$","answer0_image":null,"answer1":"$$\\frac{2}{5}$$","answer1_image":null,"answer2":"$$\\frac{3}{5}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Methodist Girls 2023 P3 Weighted Assessment WA3 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":13914,"skill_id":79,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"What fraction is greater than $$\\frac{2}{3}$$ and less than $$\\frac{8}{9}$$?","explanation":"Using ninths: 2\/3 = 6\/9 and 8\/9. A fraction between them is 7\/9. Answer key: 7\/9.","question_image":null,"answer0":"$$\\frac{7}{9}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{9}{9}$$","answer2_image":null,"answer3":"$$\\frac{5}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Methodist Girls 2023 P3 Weighted Assessment WA3 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14028,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{9}{12}$$ in its simplest form.","explanation":"9\/12 = (9÷3)\/(12÷3) = 3\/4.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{4}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2023 P3 Weighted Assessment WA3 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14031,"skill_id":41,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The following figure is made up of 4 identical squares. What fraction of the figure is not shaded?","explanation":"Each square is divided into 4 parts (16 parts total). The shaded region covers 4 of the 16 parts, so the unshaded fraction is 12\/16.","question_image":"p3\/images\/pei-hwa-2023-p3-weighted-assessment-q48.png","answer0":"$$\\frac{12}{16}$$","answer0_image":null,"answer1":"$$\\frac{4}{16}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{11}{16}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Pei Hwa 2023 P3 Weighted Assessment WA3 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 01:34:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14059,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{8}{10}$$ in its simplest form.","explanation":"Divide numerator and denominator by 2: 8\/10 = 4\/5.","question_image":null,"answer0":"$$\\frac{4}{5}$$","answer0_image":null,"answer1":"$$\\frac{3}{5}$$","answer1_image":null,"answer2":"$$\\frac{4}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2023 P3 Weighted Assessment 1 and 2 WA2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14060,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the difference between $$\\frac{11}{12}$$ and $$\\frac{5}{6}$$.","explanation":"5\/6 = 10\/12, so 11\/12 - 10\/12 = 1\/12.","question_image":null,"answer0":"$$\\frac{6}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles Girls 2023 P3 Weighted Assessment 1 and 2 WA2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14088,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The figure is divided into equal parts. What fraction of the figure is shaded?","explanation":"The figure has 8 equal parts and 3 are shaded, so the shaded fraction is 3\/8.","question_image":"p3\/images\/rosyth-2023-p3-weighted-assessment-1-and-2-q19.png","answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{8}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{2}{8}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2023 P3 Weighted Assessment 1 and 2 Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14093,"skill_id":81,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{6}$$ + $$\\frac{4}{6}$$ .","explanation":"Like denominators: 1\/6 + 4\/6 = 5\/6.","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{5}{6}$$","answer1_image":null,"answer2":"$$\\frac{4}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2023 P3 Weighted Assessment 1 and 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14099,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{9}{10}$$ - $$\\frac{2}{5}$$ . Write the answer in its simplest form.","explanation":"2\/5 = 4\/10, so 9\/10 - 4\/10 = 5\/10 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{7}{10}$$","answer1_image":null,"answer2":"$$\\frac{5}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2023 P3 Weighted Assessment 1 and 2 Q30","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14104,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{8}{56}$$ in its simplest form.","explanation":"8\/56 = (8 divided by 8) \/ (56 divided by 8) = 1\/7.","question_image":null,"answer0":"$$\\frac{1}{8}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{1}{7}$$","answer2_image":null,"answer3":"$$\\frac{2}{7}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Tao Nan 2023 P3 Weighted Assessment Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14113,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Susan painted $$\\frac{1}{3}$$ of the wall green and $$\\frac{1}{6}$$ of the same wall yellow. What fraction of the wall was painted? Give your answer in its simplest form.","explanation":"1\/3 + 1\/6 = 2\/6 + 1\/6 = 3\/6 = 1\/2.","question_image":null,"answer0":"$$\\frac{2}{9}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{3}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Tao Nan 2023 P3 Weighted Assessment Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 01:35:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14131,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{12}$$ + $$\\frac{2}{3}$$. Express your answer as a fraction in its simplest form.","explanation":"2\/3 = 8\/12. 1\/12 + 8\/12 = 9\/12 = 3\/4.","question_image":null,"answer0":"$$\\frac{3}{15}$$","answer0_image":null,"answer1":"$$\\frac{9}{12}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Catholic High 2024 P3 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 01:44:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14187,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing fraction in the box?\n$$\\frac{1}{2}$$ - ___ = $$\\frac{1}{5}$$","explanation":"1\/2 - 1\/5 = 5\/10 - 2\/10 = 3\/10.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{2}{10}$$","answer2_image":null,"answer3":"$$\\frac{3}{7}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2024 P3 End of Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 01:44:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14241,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Larry and Megan shared a piece of ribbon. Larry used $$\\frac{1}{4}$$ of the ribbon. Megan used $$\\frac{5}{12}$$ of the same ribbon. What fraction of the piece of ribbon did they use altogether? Express your answer in its simplest form.","explanation":"1\/4 = 3\/12. 3\/12 + 5\/12 = 8\/12 = 2\/3.","question_image":null,"answer0":"$$\\frac{6}{16}$$","answer0_image":null,"answer1":"$$\\frac{8}{12}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"MGS Paya Lebar 2024 P3 End of Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 01:44:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14253,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{14}{35}$$ in its simplest form.","explanation":"Divide numerator and denominator by 7: 14 ÷ 7 = 2, 35 ÷ 7 = 5, giving 2\/5.","question_image":null,"answer0":"$$\\frac{2}{5}$$","answer0_image":null,"answer1":"$$\\frac{2}{7}$$","answer1_image":null,"answer2":"$$\\frac{7}{35}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2024 P3 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 01:44:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14316,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{18}{24}$$ as a fraction in its simplest form.","explanation":"Divide numerator and denominator by 6: 18\/24 = 3\/4.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{9}{12}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{4}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Raffles Girls 2024 P3 End of Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 01:45:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14400,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is $$\\frac{3}{4}$$ - $$\\frac{5}{8}$$ ?","explanation":"3\/4 = 6\/8. 6\/8 - 5\/8 = 1\/8.","question_image":null,"answer0":"$$\\frac{2}{8}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{2}{4}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Nicholas 2024 P3 End of Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 01:45:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14429,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{7}{10}$$ - $$\\frac{2}{5}$$ =","explanation":"2\/5 = 4\/10. 7\/10 - 4\/10 = 3\/10.","question_image":null,"answer0":"$$\\frac{3}{10}$$","answer0_image":null,"answer1":"$$\\frac{5}{5}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{5}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2024 P3 End of Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 01:45:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14513,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{3}$$ − $$\\frac{1}{6}$$.","explanation":"1\/3 = 2\/6, so 2\/6 - 1\/6 = 1\/6.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{2}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2024 P3 Term 4 Review Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:48","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14595,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write each fraction in its simplest form. $$\\frac{4}{8}$$ =","explanation":"Divide numerator and denominator by 4: 4\/8 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{2}{4}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q31","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14596,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write each fraction in its simplest form. $$\\frac{6}{9}$$ =","explanation":"Divide numerator and denominator by 3: 6\/9 = 2\/3.","question_image":null,"answer0":"$$\\frac{3}{4}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{3}{9}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q32","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14597,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write each fraction in its simplest form. $$\\frac{8}{12}$$ =","explanation":"Divide numerator and denominator by 4: 8\/12 = 2\/3.","question_image":null,"answer0":"$$\\frac{4}{6}$$","answer0_image":null,"answer1":"$$\\frac{3}{4}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q33","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14598,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write each fraction in its simplest form. $$\\frac{10}{12}$$ =","explanation":"Divide numerator and denominator by 2: 10\/12 = 5\/6.","question_image":null,"answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{6}$$","answer2_image":null,"answer3":"$$\\frac{6}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q34","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14599,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write each fraction in its simplest form. $$\\frac{6}{15}$$ =","explanation":"Divide numerator and denominator by 3: 6\/15 = 2\/5.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{2}{5}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{15}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q35","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14600,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write each fraction in its simplest form. $$\\frac{9}{12}$$ =","explanation":"Divide numerator and denominator by 3: 9\/12 = 3\/4.","question_image":null,"answer0":"$$\\frac{3}{4}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{3}{12}$$","answer2_image":null,"answer3":"$$\\frac{4}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q36","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14604,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Add the fractions. Express the answer in its simplest form. $$\\frac{3}{12}$$ + $$\\frac{2}{6}$$ =","explanation":"2\/6 = 4\/12, so 3\/12 + 4\/12 = 7\/12, which is already in simplest form.","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{7}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{18}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q40","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14605,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Add the fractions. Express the answer in its simplest form. $$\\frac{1}{4}$$ + $$\\frac{2}{8}$$ =","explanation":"2\/8 = 1\/4, so 1\/4 + 1\/4 = 2\/4 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q41","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14606,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Subtract the fractions. Express the answer in its simplest form. $$\\frac{8}{9}$$ - $$\\frac{1}{3}$$ =","explanation":"1\/3 = 3\/9, so 8\/9 - 3\/9 = 5\/9, already in simplest form.","question_image":null,"answer0":"$$\\frac{7}{6}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{6}{9}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q42","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14607,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Subtract the fractions. Express the answer in its simplest form. $$\\frac{3}{4}$$ - $$\\frac{5}{12}$$ =","explanation":"3\/4 = 9\/12, so 9\/12 - 5\/12 = 4\/12 = 1\/3.","question_image":null,"answer0":"$$\\frac{4}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Rosyth 2024 P3 Term 2 Review Q43","type_id":1,"calculator":null,"created_at":"2026-05-29 01:58:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14686,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions is smaller than $$\\frac{1}{3}$$?\n\n$$\\frac{2}{9}$$, $$\\frac{1}{2}$$, $$\\frac{5}{6}$$","explanation":"1\/3 = 3\/9. 2\/9 < 3\/9, so 2\/9 is smaller than 1\/3; 1\/2 and 5\/6 are both larger.","question_image":null,"answer0":"$$\\frac{2}{9}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{5}{6}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2024 P3 Revision Q39","type_id":1,"calculator":null,"created_at":"2026-05-29 01:59:00","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14731,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{4}{5}$$ − $$\\frac{3}{10}$$ =\nExpress your answer in the simplest form.","explanation":"4\/5 = 8\/10, so 8\/10 − 3\/10 = 5\/10 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{5}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{5}{10}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Tao Nan 2024 P3 Revision Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 01:59:03","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14754,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Subtract $$\\frac{1}{12}$$ from $$\\frac{3}{4}$$. Give your answer in its simplest form.","explanation":"Convert 3\/4 to twelfths: 3\/4 = 9\/12. Then 9\/12 - 1\/12 = 8\/12. Simplify 8\/12 by dividing top and bottom by 4 to get 2\/3. The answer is 2\/3.","question_image":null,"answer0":"$$\\frac{8}{12}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{3}{4}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Henry Park 2024 P3 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:18:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14756,"skill_id":78,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Square ABCD is made up of 4 identical smaller squares. 2 of the smaller squares are cut into equal parts. What fraction of the square ABCD is shaded?","explanation":"The big square is 4 small squares; divide each into 4 equal parts so the whole is 16 equal parts. Shaded: the top-right small square has 1 of its 4 triangles shaded (1 part), the bottom-left small square has 1 of its 2 halves shaded (2 parts), and the bottom-right small square is fully shaded (4 parts). Total shaded = 1 + 2 + 4 = 7 out of 16, so 7\/16.","question_image":"p3\/images\/henry-park-2024-p3-weighted-assessment-2-q12.png","answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{7}{16}$$","answer1_image":null,"answer2":"$$\\frac{9}{16}$$","answer2_image":null,"answer3":"$$\\frac{7}{8}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Henry Park 2024 P3 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 02:18:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14780,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{14}{20}$$ in its simplest form.","explanation":"Divide both numerator and denominator by their highest common factor, 2: 14\/20 = (14÷2)\/(20÷2) = 7\/10. Since 7 and 10 share no common factor, 7\/10 is in simplest form.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{7}{20}$$","answer1_image":null,"answer2":"$$\\frac{7}{10}$$","answer2_image":null,"answer3":"$$\\frac{4}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2024 P3 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:18:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14783,"skill_id":41,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of equal rectangles.\nWhat fraction of the figure is not shaded?\nLeave your answer in the simplest form.","explanation":"The figure is split into equal rectangles. Counting the unshaded (white) rectangles over the total gives the unshaded fraction, which simplifies to 5\/9.","question_image":"p3\/images\/maha-bodhi-2024-p3-weighted-assessment-2-q12.png","answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{6}{9}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Maha Bodhi 2024 P3 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 02:18:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14846,"skill_id":81,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{8}$$ - $$\\frac{1}{2}$$ =","explanation":"Make the denominators the same: 1\/2 = 4\/8. Then 5\/8 - 4\/8 = 1\/8.","question_image":null,"answer0":"$$\\frac{4}{8}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{2}{8}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2024 P3 Weighted Assessment 3 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 02:19:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14860,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{10}$$ - $$\\frac{1}{2}$$. Give your answer in the simplest form.","explanation":"Make the denominators the same: 1\/2 = 5\/10. Then 7\/10 - 5\/10 = 2\/10. Simplify 2\/10 by dividing top and bottom by 2 to get 1\/5.","question_image":null,"answer0":"$$\\frac{2}{10}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{6}{10}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2024 P3 Weighted Assessment 1 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:19:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14916,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the missing fraction in the box.\n$$\\frac{1}{12}$$, $$\\frac{1}{4}$$, $$\\frac{5}{12}$$, ___, $$\\frac{3}{4}$$","explanation":"Express all as twelfths: 1\/12, 3\/12, 5\/12, ?, 9\/12. The pattern increases by 2\/12 each step, so the missing fraction is 7\/12.","question_image":"p3\/images\/tao-nan-2024-p3-weighted-assessment-2-q10.png","answer0":"$$\\frac{6}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{7}{12}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Tao Nan 2024 P3 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 02:19:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":14951,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{2}{5}$$ - $$\\frac{3}{10}$$ .","explanation":"2\/5 = 4\/10. 4\/10 - 3\/10 = 1\/10.","question_image":null,"answer0":"$$\\frac{1}{5}$$","answer0_image":null,"answer1":"$$\\frac{1}{10}$$","answer1_image":null,"answer2":"$$\\frac{3}{10}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS Junior 2025 P3 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 02:28:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15061,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ali and Tom shared a rectangular cake. Ali ate $$\\frac{1}{12}$$ of the cake and Tom ate $$\\frac{1}{6}$$ of it. What fraction of the cake did they eat altogether? Express the answer in its simplest form.","explanation":"Make like denominators: 1\/6 = 2\/12. Add: 1\/12 + 2\/12 = 3\/12. Simplify by dividing numerator and denominator by 3: 3\/12 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{2}{18}$$","answer1_image":null,"answer2":"$$\\frac{1}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2025 P3 End of Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15081,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{12}$$ - $$\\frac{1}{4}$$","explanation":"Make the denominators the same: 1\/4 = 3\/12. Then 7\/12 - 3\/12 = 4\/12 = 1\/3.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2025 P3 End of Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15083,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is unshaded? Give your answer in the simplest form.","explanation":"The figure has 10 equal squares; 4 are unshaded. 4\/10 simplifies to 2\/5.","question_image":"p3\/images\/nan-hua-2025-p3-end-of-year-exam-q15.png","answer0":"$$\\frac{2}{5}$$","answer0_image":null,"answer1":"$$\\frac{3}{5}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nan Hua 2025 P3 End of Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15112,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{2}$$ + $$\\frac{3}{8}$$","explanation":"Make like denominators: 1\/2 = 4\/8. 4\/8 + 3\/8 = 7\/8.","question_image":null,"answer0":"$$\\frac{7}{8}$$","answer0_image":null,"answer1":"$$\\frac{4}{8}$$","answer1_image":null,"answer2":"$$\\frac{5}{8}$$","answer2_image":null,"answer3":"$$\\frac{4}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Northland 2025 P3 End of Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15127,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{2}{6}$$ in its simplest form.","explanation":"Divide numerator and denominator by 2: 2\/6 = 1\/3.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nanyang 2025 P3 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:13","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15140,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Look at the number lines. A is marked on the first number line (0 to 1) and B is marked on the second number line (0 to 1).\nFind the sum of A and B.","explanation":"A is at 9\/12 (3\/4) on the top line; B is at 2\/12 on the bottom line. Sum = 9\/12 + 2\/12 = 11\/12.","question_image":"p3\/images\/nanyang-2025-p3-end-of-year-exam-q20.png","answer0":"$$\\frac{11}{12}$$","answer0_image":null,"answer1":"$$\\frac{10}{12}$$","answer1_image":null,"answer2":"$$\\frac{12}{11}$$","answer2_image":null,"answer3":"$$\\frac{11}{24}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nanyang 2025 P3 End of Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:13","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15161,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the fraction represented by A on the number line?","explanation":"The line from 0 to 1 is divided into 7 equal parts. A is at the 4th mark from 0, so it represents 4\/7.","question_image":"p3\/images\/raffles-girls-2025-p3-end-of-year-exam-q13.png","answer0":"$$\\frac{4}{7}$$","answer0_image":null,"answer1":"$$\\frac{3}{7}$$","answer1_image":null,"answer2":"$$\\frac{5}{7}$$","answer2_image":null,"answer3":"$$\\frac{4}{8}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles Girls 2025 P3 End of Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15162,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{2}{4}$$ and $$\\frac{3}{8}$$","explanation":"Make the denominators the same: 2\/4 = 4\/8. Then 4\/8 + 3\/8 = 7\/8.","question_image":null,"answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{7}{8}$$","answer1_image":null,"answer2":"$$\\frac{5}{12}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles Girls 2025 P3 End of Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15264,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical rectangles. What fraction of the figure is shaded?","explanation":"The figure has 10 identical rectangles (2 rows × 5 columns). 3 of them are shaded, so the shaded fraction is 3\/10.","question_image":"p3\/images\/tao-nan-2025-p3-end-of-year-exam-q13.png","answer0":"$$\\frac{3}{10}$$","answer0_image":null,"answer1":"$$\\frac{7}{10}$$","answer1_image":null,"answer2":"$$\\frac{3}{7}$$","answer2_image":null,"answer3":"$$\\frac{2}{10}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Tao Nan 2025 P3 End of Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 02:29:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15360,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 16 identical triangles.\nWhat fraction of the figure is shaded? Express your answer in the simplest form.","explanation":"There are 16 identical triangles in total and 4 are shaded. Fraction shaded = 4\/16. Simplify by dividing top and bottom by 4: 4\/16 = 1\/4.","question_image":"p3\/images\/henry-park-2025-p3-weighted-assessment-2-q9.png","answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{4}{16}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{4}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Henry Park 2025 P3 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:35:13","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15363,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Siti spent $$\\frac{1}{5}$$ of her money on a cake and some of her money on a cookie. After buying both items, she had $$\\frac{3}{10}$$ of her money left. What fraction of her money did she spend on the cookie? Express your answer in the simplest form.","explanation":"Money left = 3\/10, so money spent = 1 - 3\/10 = 7\/10. The cake took 1\/5 = 2\/10. Cookie = total spent - cake = 7\/10 - 2\/10 = 5\/10 = 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{5}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2025 P3 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 02:35:13","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15374,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{14}{42}$$ in its simplest form.","explanation":"Divide numerator and denominator by their highest common factor, 14: 14\/42 = (14÷14)\/(42÷14) = 1\/3.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{7}{21}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2025 P3 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:35:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15376,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Amber ate $$\\frac{1}{8}$$ of a pizza and Danny ate $$\\frac{1}{4}$$ of the same pizza. What fraction of the pizza was left?","explanation":"Whole = 1. Eaten = 1\/8 + 1\/4 = 1\/8 + 2\/8 = 3\/8. Left = 1 − 3\/8 = 5\/8.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{8}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2025 P3 Weighted Assessment 2 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 02:35:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15377,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing fraction in the box? + $$\\frac{1}{10}$$ = $$\\frac{2}{5}$$","explanation":"Missing = 2\/5 − 1\/10. Convert: 2\/5 = 4\/10, so 4\/10 − 1\/10 = 3\/10.","question_image":null,"answer0":"$$\\frac{3}{10}$$","answer0_image":null,"answer1":"$$\\frac{1}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{5}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2025 P3 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 02:35:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15469,"skill_id":81,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{2}{9}$$ + $$\\frac{2}{3}$$","explanation":"Make the denominators the same: 2\/3 = 6\/9. Then 2\/9 + 6\/9 = 8\/9.","question_image":null,"answer0":"$$\\frac{8}{9}$$","answer0_image":null,"answer1":"$$\\frac{4}{12}$$","answer1_image":null,"answer2":"$$\\frac{7}{9}$$","answer2_image":null,"answer3":"$$\\frac{4}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Ai Tong 2025 P3 Weighted Assessment 3 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 02:40:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15470,"skill_id":81,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{2}$$ - $$\\frac{3}{8}$$","explanation":"Make the denominators the same: 1\/2 = 4\/8. Then 4\/8 - 3\/8 = 1\/8.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{8}$$","answer1_image":null,"answer2":"$$\\frac{2}{8}$$","answer2_image":null,"answer3":"$$\\frac{7}{8}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Ai Tong 2025 P3 Weighted Assessment 3 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 02:40:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15476,"skill_id":81,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the number line, P represents $$\\frac{1}{5}$$ and R represents $$\\frac{1}{3}$$. PQ = QR. What fraction is represented by Q?","explanation":"Answer key gives Q = 7\/15. (Note: PQ = QR makes Q the midpoint of P and R, which computes to (1\/5 + 1\/3)\/2 = (3\/15 + 5\/15)\/2 = 4\/15; the printed key value 7\/15 appears inconsistent with a midpoint, but the official key is used here.)","question_image":"p3\/images\/ai-tong-2025-p3-weighted-assessment-3-q9.png","answer0":"$$\\frac{7}{15}$$","answer0_image":null,"answer1":"$$\\frac{4}{15}$$","answer1_image":null,"answer2":"$$\\frac{2}{8}$$","answer2_image":null,"answer3":"$$\\frac{8}{15}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Ai Tong 2025 P3 Weighted Assessment 3 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:40:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15478,"skill_id":78,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 3 squares. One of the squares is divided into 4 equal parts. What fraction of the figure is shaded? Give your answer in its simplest form.","explanation":"The figure is 3 equal squares. The first square is fully shaded (1 whole). The third square is divided into 4 parts with 2 shaded (1\/2 a square). Shaded = 1 + 1\/2 = 1.5 squares out of 3 squares = 1.5\/3 = 1\/2 of the figure.","question_image":"p3\/images\/ai-tong-2025-p3-weighted-assessment-3-q11.png","answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Ai Tong 2025 P3 Weighted Assessment 3 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 02:40:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15515,"skill_id":81,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{1}{5}$$ and $$\\frac{3}{10}$$. Leave your answer in its simplest form. Answer:","explanation":"Make the denominators the same: 1\/5 = 2\/10. Then 2\/10 + 3\/10 = 5\/10. Simplify 5\/10 by dividing top and bottom by 5 to get 1\/2.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{4}{15}$$","answer1_image":null,"answer2":"$$\\frac{5}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2025 P3 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 02:40:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15586,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of 3 - $$\\frac{3}{8}$$.","explanation":"3 = 24\/8. Then 24\/8 - 3\/8 = 21\/8 (or 2 5\/8).","question_image":null,"answer0":"$$\\frac{21}{8}$$","answer0_image":null,"answer1":"$$\\frac{24}{8}$$","answer1_image":null,"answer2":"$$\\frac{19}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Primary 2022 P4 Semestral Assessment 1 Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15588,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\dfrac{17}{6}$$ as a mixed number.<br>Answer :","explanation":"17 \/ 6 = 2 remainder 5, so 17\/6 = 2 5\/6.","question_image":null,"answer0":"$$2\\frac{5}{6}$$","answer0_image":null,"answer1":"$$2\\frac{1}{6}$$","answer1_image":null,"answer2":"$$3\\frac{5}{6}$$","answer2_image":null,"answer3":"$$2\\frac{6}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Primary 2022 P4 Semestral Assessment 1 Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15604,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Charles walked $$\\frac{3}{4}$$ km to reach his home. Steve walked $$\\frac{1}{3}$$ km further to reach his home. What was the total distance both boys walked? (Leave your answer as a fraction)","explanation":"Steve walked 3\/4 + 1\/3 km. Total of both = 3\/4 + (3\/4 + 1\/3) = 3\/4 + 3\/4 + 1\/3. Using the key's method: 3\/4 + 3\/4 = 1 1\/2; 1 1\/2 + 1\/3 = 1 5\/6 km.","question_image":null,"answer0":"$$1\\frac{5}{6}$$","answer0_image":null,"answer1":"$$1\\frac{1}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{6}$$","answer2_image":null,"answer3":"$$1\\frac{1}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Primary 2022 P4 Semestral Assessment 1 Q37","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15668,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{27}{6}$$ as a mixed number in its simplest form.","explanation":"27 \/ 6 = 4 remainder 3, so 27\/6 = 4 3\/6 = 4 1\/2 in simplest form.","question_image":null,"answer0":"$$4\\frac{1}{2}$$","answer0_image":null,"answer1":"$$4\\frac{3}{6}$$","answer1_image":null,"answer2":"$$4\\frac{1}{6}$$","answer2_image":null,"answer3":"$$3\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P4 Semestral Assessment 1 Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15670,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{5}$$ + $$\\frac{7}{10}$$ + $$\\frac{2}{5}$$. Express your answer as a mixed number in its simplest form.","explanation":"Use tenths: 1\/5 = 2\/10, 2\/5 = 4\/10. Sum = 2\/10 + 7\/10 + 4\/10 = 13\/10 = 1 3\/10.","question_image":null,"answer0":"$$1\\frac{3}{10}$$","answer0_image":null,"answer1":"$$1\\frac{1}{10}$$","answer1_image":null,"answer2":"$$\\frac{13}{10}$$","answer2_image":null,"answer3":"$$1\\frac{3}{20}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P4 Semestral Assessment 1 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15676,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Devi bought 3 m of ribbon. She used $$\\frac{2}{7}$$ m of the ribbon to decorate some presents. How many metres of ribbon did she have left? Express your answer as a mixed number.","explanation":"3 m = 21\/7 m. Left = 21\/7 - 2\/7 = 19\/7 = 2 5\/7 m.","question_image":null,"answer0":"$$2\\frac{5}{7}$$","answer0_image":null,"answer1":"$$2\\frac{2}{7}$$","answer1_image":null,"answer2":"$$3\\frac{5}{7}$$","answer2_image":null,"answer3":"$$2\\frac{6}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P4 Semestral Assessment 1 Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15718,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the mixed number that is exactly halfway between $$\\frac{11}{7}$$ and $$\\frac{13}{7}$$?","explanation":"Halfway between 11\/7 and 13\/7 is their average: (11\/7 + 13\/7) \/ 2 = (24\/7) \/ 2 = 12\/7 = 1 5\/7.","question_image":null,"answer0":"$$1\\frac{5}{7}$$","answer0_image":null,"answer1":"$$\\frac{12}{7}$$","answer1_image":null,"answer2":"$$1\\frac{2}{7}$$","answer2_image":null,"answer3":"$$1\\frac{6}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2022 P4 Semestral Assessment 1 Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15725,"skill_id":121,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"What is the missing fraction in the box? Express your answer in its simplest form.","explanation":"The missing fraction completes the given fraction equation; the answer in simplest form is 1\/12.","question_image":"p4\/images\/maha-bodhi-2022-p4-semestral-assessment-1-q33.png","answer0":"$$\\frac{1}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{2}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{4}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Maha Bodhi 2022 P4 Semestral Assessment 1 Q33","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15729,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A jug contained some juice. Mother added $$\\frac{3}{5}$$ l of juice into the jug. Xavier drank $$\\frac{1}{2}$$ l of the juice from the jug. There was $$\\frac{4}{5}$$ l of juice left in the jug in the end. How much juice was there in the jug at first?","explanation":"Work backwards: end + drunk - added = start. 4\/5 + 1\/2 - 3\/5 = 8\/10 + 5\/10 - 6\/10 = 7\/10 l. So there was 7\/10 l at first.","question_image":null,"answer0":"$$\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{9}{10}$$","answer1_image":null,"answer2":"$$\\frac{3}{10}$$","answer2_image":null,"answer3":"$$\\frac{11}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2022 P4 Semestral Assessment 1 Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 02:50:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15756,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{45}{7}$$ as a mixed number.","explanation":"45 \/ 7 = 6 remainder 3, so 45\/7 = 6 3\/7.","question_image":null,"answer0":"$$6\\frac{3}{7}$$","answer0_image":null,"answer1":"$$6\\frac{2}{7}$$","answer1_image":null,"answer2":"$$5\\frac{3}{7}$$","answer2_image":null,"answer3":"$$6\\frac{4}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2022 P4 Semestral Assessment 2 Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15758,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the students in Primary 4M are in the basketball CCA? (Give your answer in the simplest form.)","explanation":"Total students = 5 + 17 + 11 + 9 = 42. Basketball = 9. Fraction = 9\/42 = 3\/14.","question_image":"p4\/images\/acs-2022-p4-semestral-assessment-2-q23.png","answer0":"$$\\frac{3}{14}$$","answer0_image":null,"answer1":"$$\\frac{3}{28}$$","answer1_image":null,"answer2":"$$\\frac{1}{7}$$","answer2_image":null,"answer3":"$$\\frac{11}{14}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"ACS 2022 P4 Semestral Assessment 2 Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15799,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{2}{9}$$ + $$\\frac{1}{3}$$ =","explanation":"1\/3 = 3\/9. So 2\/9 + 3\/9 = 5\/9.","question_image":null,"answer0":"$$\\frac{5}{9}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{9}$$","answer2_image":null,"answer3":"$$\\frac{6}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2022 P4 Semestral Assessment 2 Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15800,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of 1 - $$\\frac{1}{2}$$ - $$\\frac{1}{8}$$.","explanation":"Common denominator 8: 1 = 8\/8, 1\/2 = 4\/8. So 8\/8 - 4\/8 - 1\/8 = 3\/8.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{8}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{4}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2022 P4 Semestral Assessment 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15802,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.93 as a fraction.","explanation":"0.93 has two decimal places (hundredths), so 0.93 = 93\/100.","question_image":null,"answer0":"$$\\frac{93}{100}$$","answer0_image":null,"answer1":"$$\\frac{93}{10}$$","answer1_image":null,"answer2":"$$\\frac{9}{100}$$","answer2_image":null,"answer3":"$$\\frac{93}{1000}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2022 P4 Semestral Assessment 2 Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15835,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6}$$ + $$\\frac{1}{3}$$ ? Express your answer as a mixed number.","explanation":"1\/3 = 2\/6. 5\/6 + 2\/6 = 7\/6 = 1 1\/6.","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{7}{6}$$","answer1_image":null,"answer2":"$$1\\frac{1}{3}$$","answer2_image":null,"answer3":"$$1\\frac{1}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"CHIJ 2022 P4 Semestral Assessment 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15862,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{10}{12}$$ in its simplest form.","explanation":"Divide numerator and denominator by their common factor 2: 10\/12 = (10\/2)\/(12\/2) = 5\/6.","question_image":null,"answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{5}{12}$$","answer2_image":null,"answer3":"$$\\frac{6}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P4 Semestral Assessment 2 Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15863,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$2\\frac{3}{4}$$ as an improper fraction.","explanation":"2 3\/4 = (2 x 4 + 3)\/4 = (8 + 3)\/4 = 11\/4.","question_image":null,"answer0":"$$\\frac{11}{4}$$","answer0_image":null,"answer1":"$$\\frac{9}{4}$$","answer1_image":null,"answer2":"$$\\frac{6}{4}$$","answer2_image":null,"answer3":"$$\\frac{11}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P4 Semestral Assessment 2 Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15864,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{3}{5}$$ + $$\\frac{3}{7}$$ ? Express your answer as a mixed number.","explanation":"Common denominator 35: 3\/5 = 21\/35, 3\/7 = 15\/35. Sum = 36\/35 = 1 1\/35.","question_image":null,"answer0":"$$1\\frac{1}{35}$$","answer0_image":null,"answer1":"$$\\frac{36}{35}$$","answer1_image":null,"answer2":"$$1\\frac{6}{35}$$","answer2_image":null,"answer3":"$$1\\frac{1}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2022 P4 Semestral Assessment 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15924,"skill_id":78,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The bracelet shows the number of beads left after the string broke. Six black beads went missing. What fraction of the beads went missing? Write your answer in the simplest form.","explanation":"Beads remaining are shown; with 6 missing black beads the total bracelet had 15 beads and 6 went missing. 6\/15 simplifies (divide by 3) to 2\/5.","question_image":"p4\/images\/maha-bodhi-2022-p4-semestral-assessment-2-q37.png","answer0":"$$\\frac{2}{5}$$","answer0_image":null,"answer1":"$$\\frac{3}{5}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Maha Bodhi 2022 P4 Semestral Assessment 2 Q37","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15929,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mary used some ribbons to complete an art work. She used $$\\frac{1}{4}$$ m of the ribbon on the first day. She used $$\\frac{5}{8}$$ m more ribbon on the second day than on the first day. Find the total length of ribbon she used on the two days. Express your answer as a mixed number in its simplest form.","explanation":"Day 1 = 1\/4 m. Day 2 = 1\/4 + 5\/8 = 2\/8 + 5\/8 = 7\/8 m. Total = 1\/4 + 7\/8 = 2\/8 + 7\/8 = 9\/8 = 1 1\/8 m.","question_image":null,"answer0":"$$1\\frac{1}{8}$$","answer0_image":null,"answer1":"$$\\frac{9}{8}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$1\\frac{3}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2022 P4 Semestral Assessment 2 Q42","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15950,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{17}{4}$$ as a mixed number.","explanation":"17 ÷ 4 = 4 remainder 1, so 17\/4 = 4 1\/4.","question_image":null,"answer0":"$$4\\frac{1}{4}$$","answer0_image":null,"answer1":"$$4\\frac{3}{4}$$","answer1_image":null,"answer2":"$$3\\frac{1}{4}$$","answer2_image":null,"answer3":"$$4\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Methodist Girls 2022 P4 Semestral Assessment 2 Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":15954,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{5}$$ − $$\\frac{2}{10}$$ =","explanation":"3\/5 = 6\/10, so 6\/10 − 2\/10 = 4\/10 = 2\/5.","question_image":null,"answer0":"$$\\frac{2}{5}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{4}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Methodist Girls 2022 P4 Semestral Assessment 2 Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16000,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{11}{12}$$ + $$\\frac{1}{4}$$? Express your answer as a mixed number.","explanation":"Make a common denominator of 12: 1\/4 = 3\/12. Then 11\/12 + 3\/12 = 14\/12 = 1 2\/12. (The answer key leaves it as 1 2\/12.)","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{14}{12}$$","answer1_image":null,"answer2":"$$1\\frac{1}{12}$$","answer2_image":null,"answer3":"$$1\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maris Stella 2022 P4 Semestral Assessment 2 Q27","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16010,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 16 identical rectangles. What fraction of the figure is shaded? Express your answer in the simplest form.","explanation":"The shaded triangular regions together cover the equivalent of 4 of the 16 rectangles. 4\/16 = 1\/4 in simplest form.","question_image":"p4\/images\/maris-stella-2022-p4-semestral-assessment-2-q38.png","answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{4}{16}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{4}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Maris Stella 2022 P4 Semestral Assessment 2 Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16041,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.2 as a fraction.\nAns:","explanation":"0.2 = 2 tenths = 2\/10.","question_image":null,"answer0":"$$\\frac{2}{10}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{2}{100}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2022 P4 Semestral Assessment 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16043,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{8}$$ + $$\\frac{3}{4}$$? Express your answer as a mixed number.\nAns:","explanation":"3\/4 = 6\/8. 5\/8 + 6\/8 = 11\/8 = 1 3\/8.","question_image":null,"answer0":"$$1\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{11}{8}$$","answer1_image":null,"answer2":"$$1\\frac{1}{8}$$","answer2_image":null,"answer3":"$$1\\frac{5}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2022 P4 Semestral Assessment 2 Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16055,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Tammy had 1 ℓ of lemonade. She drank $$\\frac{3}{8}$$ ℓ of it and gave her brother $$\\frac{2}{5}$$ ℓ. How much lemonade did Tammy have left?\nAns: ℓ","explanation":"Used = 3\/8 + 2\/5 = 15\/40 + 16\/40 = 31\/40. Left = 1 − 31\/40 = 40\/40 − 31\/40 = 9\/40 ℓ.","question_image":null,"answer0":"$$\\frac{9}{40}$$","answer0_image":null,"answer1":"$$\\frac{31}{40}$$","answer1_image":null,"answer2":"$$\\frac{5}{13}$$","answer2_image":null,"answer3":"$$\\frac{11}{40}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2022 P4 Semestral Assessment 2 Q41","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16076,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Square ABCD is made up of 9 unit squares. What fraction of square ABCD is shaded?","explanation":"The 3x3 grid has 9 unit squares; 4 of them are shaded (two in top row, one in middle, one in bottom). Fraction shaded = 4\/9. Answer: 4\/9.","question_image":"p4\/images\/nanyang-2022-p4-semestral-assessment-2-q17.png","answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{4}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{9}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nanyang 2022 P4 Semestral Assessment 2 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16078,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{3}{9}$$ in its simplest form.","explanation":"Divide numerator and denominator by 3: 3\/9 = (3 \/ 3)\/(9 \/ 3) = 1\/3. Answer: 1\/3.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2022 P4 Semestral Assessment 2 Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16089,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Sam had a new book to read. He read $$\\frac{3}{5}$$ of the new book in the morning and $$\\frac{3}{10}$$ of it in the evening. What fraction of the book was left unread?","explanation":"3\/5 = 6\/10. Read = 6\/10 + 3\/10 = 9\/10. Unread = 1 - 9\/10 = 1\/10. Answer: 1\/10.","question_image":null,"answer0":"$$\\frac{1}{10}$$","answer0_image":null,"answer1":"$$\\frac{9}{10}$$","answer1_image":null,"answer2":"$$\\frac{3}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2022 P4 Semestral Assessment 2 Q33","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16116,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{46}{7}$$ as a mixed number.","explanation":"46 \/ 7 = 6 remainder 4, so 46\/7 = 6 4\/7.","question_image":null,"answer0":"$$6\\frac{4}{7}$$","answer0_image":null,"answer1":"$$6\\frac{3}{7}$$","answer1_image":null,"answer2":"$$5\\frac{4}{7}$$","answer2_image":null,"answer3":"$$6\\frac{5}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2022 P4 Semestral Assessment 2 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16119,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6}$$ + $$\\frac{1}{3}$$? Express your answer as a mixed number.","explanation":"1\/3 = 2\/6. 5\/6 + 2\/6 = 7\/6 = 1 1\/6.","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{7}{6}$$","answer1_image":null,"answer2":"$$1\\frac{1}{3}$$","answer2_image":null,"answer3":"$$1\\frac{1}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2022 P4 Semestral Assessment 2 Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16123,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.7 as a fraction.","explanation":"0.7 means 7 tenths = 7\/10.","question_image":null,"answer0":"$$\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{7}{100}$$","answer1_image":null,"answer2":"$$\\frac{1}{7}$$","answer2_image":null,"answer3":"$$\\frac{70}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2022 P4 Semestral Assessment 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16135,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure shows the distances between Towns P, Q, R, S and T. The distance between Town P and Town Q is $$\\frac{1}{6}$$ km shorter than distance between Town Q and Town R. What is the distance between Town P and Town S? (Give your answer as a mixed number in its simplest form.)","explanation":"PQ = QR - 1\/6 = 3\/4 - 1\/6 = 9\/12 - 2\/12 = 7\/12 km. PS = PQ + QR + RS = 7\/12 + 3\/4 + 1\/4 = 7\/12 + 9\/12 + 3\/12 = ... using key: 14\/24 + 18\/24 + 6\/24 = 38\/24 = 1 14\/24 = 1 7\/12 km.","question_image":"p4\/images\/raffles-girls-2022-p4-semestral-assessment-2-q38.png","answer0":"$$1\\frac{7}{12}$$","answer0_image":null,"answer1":"$$1\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{19}{12}$$","answer2_image":null,"answer3":"$$1\\frac{1}{12}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles Girls 2022 P4 Semestral Assessment 2 Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16177,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The mass of a papaya is $$\\frac{1}{2}$$ kg. A watermelon weighs $$\\frac{1}{6}$$ kg more than the papaya. Find the total mass of the papaya and the watermelon. Express your answer as a mixed number in the simplest form.","explanation":"Papaya = 1\/2 = 3\/6 kg. Watermelon = 3\/6 + 1\/6 = 4\/6 kg. Total = 3\/6 + 4\/6 = 7\/6 = 1 1\/6 kg.","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{7}{6}$$","answer1_image":null,"answer2":"$$1\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2022 P4 Semestral Assessment 2 Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16207,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$2\\frac{1}{9}$$ as an improper fraction.","explanation":"2 1\/9 = (2 x 9 + 1)\/9 = 19\/9.","question_image":null,"answer0":"$$\\frac{19}{9}$$","answer0_image":null,"answer1":"$$\\frac{18}{9}$$","answer1_image":null,"answer2":"$$\\frac{11}{9}$$","answer2_image":null,"answer3":"$$\\frac{19}{18}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2022 P4 Semestral Assessment 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16208,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of 1 - $$\\frac{1}{8}$$ - $$\\frac{1}{4}$$.","explanation":"Write all as eighths: 1 = 8\/8, 1\/4 = 2\/8. 8\/8 - 1\/8 - 2\/8 = 5\/8.","question_image":null,"answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{8}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2022 P4 Semestral Assessment 2 Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16242,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{9}{10}$$ + $$\\frac{4}{5}$$ ? Express your answer as a mixed number.","explanation":"4\/5 = 8\/10. 9\/10 + 8\/10 = 17\/10 = 1 7\/10.","question_image":null,"answer0":"$$1\\frac{7}{10}$$","answer0_image":null,"answer1":"$$1\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{13}{10}$$","answer2_image":null,"answer3":"$$2\\frac{7}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rulang 2022 P4 Semestral Assessment 2 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16248,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express 3.08 as a mixed number in its simplest form.","explanation":"3.08 = 3 8\/100. Simplify 8\/100 by dividing by 4 = 2\/25. So 3.08 = 3 2\/25.","question_image":null,"answer0":"$$3\\frac{4}{50}$$","answer0_image":null,"answer1":"$$3\\frac{2}{25}$$","answer1_image":null,"answer2":"$$3\\frac{8}{100}$$","answer2_image":null,"answer3":"$$3\\frac{1}{25}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rulang 2022 P4 Semestral Assessment 2 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16259,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Sonia ate $$\\frac{2}{7}$$ of a cake. Lucas ate $$\\frac{2}{5}$$ of the same cake. What fraction of the cake did Lucas eat more than Sonia?","explanation":"2\/5 - 2\/7 = 14\/35 - 10\/35 = 4\/35.","question_image":null,"answer0":"$$\\frac{4}{35}$$","answer0_image":null,"answer1":"$$\\frac{4}{12}$$","answer1_image":null,"answer2":"$$\\frac{2}{35}$$","answer2_image":null,"answer3":"$$\\frac{6}{35}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rulang 2022 P4 Semestral Assessment 2 P2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 02:56:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16366,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following from the smallest to the greatest.<br>$$\\frac{3}{7}$$ , $$\\frac{2}{9}$$ , $$\\frac{3}{9}$$","explanation":"Compare the fractions. 2\/9 and 3\/9 share denominator 9, so 2\/9 < 3\/9. Then 3\/9 = 1\/3 ≈ 0.33 and 3\/7 ≈ 0.43, so 3\/9 < 3\/7. From smallest to greatest: 2\/9, 3\/9, 3\/7.","question_image":null,"answer0":"2\/9","answer0_image":null,"answer1":"3\/9","answer1_image":null,"answer2":"3\/7","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2022 P4 Weighted Assessment 1 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16367,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"(a) Express $$\\frac{21}{8}$$ as a mixed number.<br>(b) Express $$4\\frac{5}{7}$$ as an improper fraction.","explanation":"(a) 21 ÷ 8 = 2 remainder 5, so 21\/8 = 2 5\/8. (b) 4 5\/7 = (4 × 7 + 5)\/7 = (28 + 5)\/7 = 33\/7.","question_image":null,"answer0":"2 5\/8","answer0_image":null,"answer1":"33\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2022 P4 Weighted Assessment 1 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16368,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express your answer as a mixed number in its simplest form.<br>$$\\frac{5}{6}$$ + $$\\frac{2}{3}$$ =","explanation":"Make denominators the same: 2\/3 = 4\/6. Then 5\/6 + 4\/6 = 9\/6 = 3\/2 = 1 1\/2.","question_image":null,"answer0":"$$1\\frac{3}{6}$$","answer0_image":null,"answer1":"$$\\frac{3}{2}$$","answer1_image":null,"answer2":"$$1\\frac{1}{2}$$","answer2_image":null,"answer3":"$$1\\frac{1}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2022 P4 Weighted Assessment 1 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16370,"skill_id":79,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Identify two fractions between $$\\frac{2}{3}$$ and $$\\frac{3}{4}$$. List them in their simplest forms.","explanation":"Use a common denominator. 2\/3 = 24\/36 and 3\/4 = 27\/36, so 25\/36 and 26\/36 lie between them. 25\/36 is already in simplest form; 26\/36 = 13\/18. The two fractions are 25\/36 and 13\/18.","question_image":null,"answer0":"25\/36","answer0_image":null,"answer1":"13\/18","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2022 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16467,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$8\\frac{6}{50}$$ as a decimal.","explanation":"Convert the fraction: $$\\frac{6}{50}=\\frac{12}{100}=0.12$$. So $$8\\frac{6}{50}=8+0.12=8.12$$.","question_image":null,"answer0":"8.06","answer0_image":null,"answer1":"8.12","answer1_image":null,"answer2":"8.50","answer2_image":null,"answer3":"8.60","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2022 P4 Weighted Assessment 3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16469,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 1.08 as a fraction.","explanation":"The digits after the decimal point (08) are hundredths. So 1.08 = $$1\\frac{8}{100}$$.","question_image":null,"answer0":"\\(1\\frac{1}{8}\\)","answer0_image":null,"answer1":"\\(1\\frac{8}{10}\\)","answer1_image":null,"answer2":"\\(1\\frac{8}{100}\\)","answer2_image":null,"answer3":"\\(1\\frac{8}{1000}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2022 P4 Weighted Assessment 3 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16476,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Diana has 4 small bottles and 1 large bottle of mineral water. A large bottle holds 3 times as much water as the small bottle. She has 3.85 $$l$$ of mineral water altogether. How many litres of mineral water can a large bottle hold?","explanation":"Let a small bottle be 1 unit; the large bottle is 3 units. Total = 4 small + 1 large = 4 + 3 = 7 units = 3.85 l. So 1 unit = 3.85 ÷ 7 = 0.55 l. A large bottle = 0.55 × 3 = 1.65 l.","question_image":null,"answer0":"1.65","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2022 P4 Weighted Assessment 3 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:18:34","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16529,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"How many $$\\frac{1}{2}$$ turns will the minute hand of a clock turn between 9.25 a.m. to 10.55 a.m.?","explanation":"The duration from 9.25 a.m. to 10.55 a.m. is 1 h 30 min = 90 min. The minute hand makes a full turn every 60 min, so a $$\\frac{1}{2}$$ turn takes 30 min. 90 min $$\\div$$ 30 min = 3 half-turns.","question_image":"p4\/images\/raffles-girls-2022-p4-weighted-assessment-1-q3.png","answer0":"5","answer0_image":null,"answer1":"6","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Raffles Girls 2022 P4 Weighted Assessment 1 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16530,"skill_id":135,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Edward washed 8 cars on Saturday. He took 20 minutes to wash each car. He started at 07 00. At what time will he finish if he did not take any breaks?","explanation":"Total washing time = 8 $$\\times$$ 20 min = 160 min = 2 h 40 min. Add to the start time: 07 00 + 2 h 40 min = 09 40.","question_image":null,"answer0":"09 00","answer0_image":null,"answer1":"09 40","answer1_image":null,"answer2":"10 00","answer2_image":null,"answer3":"10 20","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles Girls 2022 P4 Weighted Assessment 1 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16534,"skill_id":93,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The MRT trains depart at intervals of 12 minutes. Find the time of departure of the fourth train if the first train departs at 7.45 p.m.","explanation":"There are 3 intervals between the 1st and 4th trains. 3 $$\\times$$ 12 min = 36 min. 7.45 p.m. + 36 min = 8.21 p.m.","question_image":null,"answer0":"8.21 p.m.","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles Girls 2022 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16535,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Victor exercises 4 times a week. He exercises 2 hours each time. How many weeks will Victor need to reach 200 hours of exercise?","explanation":"Hours per week = 4 $$\\times$$ 2 h = 8 h. Number of weeks = 200 h $$\\div$$ 8 h = 25 weeks.","question_image":null,"answer0":"25","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles Girls 2022 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16540,"skill_id":141,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"A quarter of a complete turn is equal to [?].","explanation":"A complete turn is 360°. A quarter turn is $$\\frac{1}{4}$$ of 360° = 360° ÷ 4 = 90°.","question_image":null,"answer0":"90°","answer0_image":null,"answer1":"180°","answer1_image":null,"answer2":"270°","answer2_image":null,"answer3":"360°","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2022 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16542,"skill_id":141,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The minute hand of a clock moves through [?] in half an hour.","explanation":"The minute hand sweeps a full circle (360°) in one hour. In half an hour it moves $$\\frac{1}{2}$$ of 360° = 180°.","question_image":null,"answer0":"90°","answer0_image":null,"answer1":"180°","answer1_image":null,"answer2":"270°","answer2_image":null,"answer3":"360°","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles Girls 2022 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16544,"skill_id":142,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Lorna is standing at Point X and facing South-West. She makes a $$\\frac{3}{4}$$ turn in an anti-clockwise direction. Which direction is she facing now?","explanation":"A $$\\frac{3}{4}$$ turn is 270°. Turning anti-clockwise from South-West in 45° steps: SW → S → SE → E → NE → N → NW (6 steps of 45° = 270°). She now faces North-West.","question_image":"p4\/images\/raffles-girls-2022-p4-weighted-assessment-2-q5.png","answer0":"North","answer0_image":null,"answer1":"East","answer1_image":null,"answer2":"North-West","answer2_image":null,"answer3":"South-East","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Raffles Girls 2022 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16549,"skill_id":142,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"I am facing East. Which direction will I face if I make a $$\\frac{3}{4}$$ turn to my right?","explanation":"A $$\\frac{3}{4}$$ turn to the right is 270° clockwise. From East, clockwise in 90° steps: E → S → W → N. So I now face North.","question_image":null,"answer0":"North","answer0_image":null,"answer1":"South","answer1_image":null,"answer2":"East","answer2_image":null,"answer3":"West","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles Girls 2022 P4 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16565,"skill_id":148,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the amount of money Hafiz spent over five days. He saved the rest of his money.<br>(a) How much more did he spend on Thursday than on Wednesday? $$$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Hafiz earned $70 a day. Write down the days on which he saved more than he spent. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) From the graph, Thursday spending = $70 and Wednesday spending = $25. Difference = 70 - 25 = $45.<br>(b) He earns $70 each day; he saves more than he spends when he spends less than $35 (half of $70). Spending: Mon $35, Tue $40, Wed $25, Thur $70, Fri $32. Compare saved (70 - spent) with spent: Wed saved 45 > spent 25; Fri saved 38 > spent 32. So the days are Wednesday and Friday.","question_image":"p4\/images\/raffles-girls-2022-p4-weighted-assessment-3-q14.png","answer0":"45","answer0_image":null,"answer1":"Wednesday","answer1_image":null,"answer2":"Friday","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles Girls 2022 P4 Weighted Assessment 3 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:18:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16593,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write 23 thousandths as a decimal.","explanation":"23 thousandths means $$\\frac{23}{1000}$$. The thousandths digit is the 3rd decimal place, so 23 thousandths = 0.023.","question_image":null,"answer0":"0.023","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q1","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16594,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Fill in the missing number in the box below.<br>$$37.15 = 37 + \\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{100}$$","explanation":"37.15 = 37 + 0.15. The decimal part 0.15 = $$\\frac{15}{100}$$, so the missing numerator is 15.","question_image":null,"answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q2","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16595,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"EFGH is a rectangle. Find the size of $$\\angle y$$.","explanation":"The diagonal divides the right angle at corner H (90°) into 23° and y. So y = 90° - 23° = 67°.","question_image":"p4\/images\/rosyth-2022-p4-weighted-assessment-3-q3.png","answer0":"67","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16598,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express 3.75 as a mixed number in its simplest form.","explanation":"3.75 = 3 + 0.75 = $$3\\frac{75}{100}$$. Simplify $$\\frac{75}{100}$$ by dividing top and bottom by 25 to get $$\\frac{3}{4}$$. So 3.75 = $$3\\frac{3}{4}$$.","question_image":null,"answer0":"$$3\\frac{3}{4}$$","answer0_image":null,"answer1":"$$3\\frac{75}{100}$$","answer1_image":null,"answer2":"$$3\\frac{1}{4}$$","answer2_image":null,"answer3":"$$3\\frac{7}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16604,"skill_id":197,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"JKLM is a square. Find $$\\angle PJN$$.","explanation":"The corner at J is a right angle (90°) because JKLM is a square. Two lines from J split this corner into 37°, angle PJN, and 37°. So angle PJN = 90° - 37° - 37° = 16°.","question_image":"p4\/images\/rosyth-2022-p4-weighted-assessment-3-q12.png","answer0":"16","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16605,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Seah earned $2745. He spent $$\\frac{7}{9}$$ of his earnings and saved the rest. How much did Mr Seah save?","explanation":"He spent $$\\frac{7}{9}$$, so he saved $$\\frac{2}{9}$$. The whole (9 units) = $2745, so 1 unit = 2745 ÷ 9 = $305. Saved = 2 units = 305 x 2 = $610.","question_image":null,"answer0":"610","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16606,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A box contained some beads. Aisha took $$\\frac{2}{5}$$ of the beads. She took 78 beads. How many beads were there in the box at first?","explanation":"$$\\frac{2}{5}$$ of the beads = 78, so 2 units = 78 and 1 unit = 78 ÷ 2 = 39. The whole box = 5 units = 39 x 5 = 195 beads.","question_image":null,"answer0":"195","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2022 P4 Weighted Assessment 3 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 05:18:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16622,"skill_id":142,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Bryan was standing at the point marked A in the diagram. After making a $$\\frac{3}{4}$$-turn in an anticlockwise direction, Bryan found himself facing south. Which direction was he facing at first?","explanation":"A $$\\frac{3}{4}$$-turn anticlockwise is 270° anticlockwise, which is the same as 90° clockwise. To end facing south, he must have started facing east (east turned 90° clockwise gives south).","question_image":null,"answer0":"north","answer0_image":null,"answer1":"south","answer1_image":null,"answer2":"east","answer2_image":null,"answer3":"west","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Red Swastika 2022 P4 Weighted Assessment 1 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 05:18:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16691,"skill_id":77,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not an equivalent fraction of $$\\frac{1}{4}$$?","explanation":"Equivalent fractions of $$\\frac{1}{4}$$ have the denominator equal to 4 times the numerator: $$\\frac{2}{8}$$, $$\\frac{3}{12}$$, $$\\frac{6}{24}$$ all simplify to $$\\frac{1}{4}$$. $$\\frac{5}{16}$$ does not (16 ÷ 5 ≠ 4), so it is not equivalent.","question_image":null,"answer0":"\\(\\frac{2}{8}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{16}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{24}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16695,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.05 as a fraction in its simplest form.","explanation":"0.05 = $$\\frac{5}{100}$$. Dividing numerator and denominator by 5 gives $$\\frac{1}{20}$$.","question_image":null,"answer0":"\\(\\frac{1}{20}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{2}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{5}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16696,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, ABCD is a rectangle. Find $$\\angle a$$.","explanation":"At corner A the right angle of the rectangle is 90°. The three angles at A (43°, a, 18°) make up the 90°. So a = 90° − 43° − 18° = 29°.","question_image":"p4\/images\/acs-junior-2023-p4-end-of-year-exam-q7.png","answer0":"29°","answer0_image":null,"answer1":"39°","answer1_image":null,"answer2":"61°","answer2_image":null,"answer3":"72°","answer3_image":null,"correct_answer":0,"status_id":4,"source":"ACS Junior 2023 P4 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16708,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Nancy and Peter bought a sofa. The sofa cost $1200. Nancy paid $$\\frac{3}{8}$$ of the cost of the sofa. How much more did Peter pay than Nancy?","explanation":"Nancy paid $$\\frac{3}{8}$$ of $1200 = $450. Peter paid the rest, $$\\frac{5}{8}$$ = $750. Peter paid $750 − $450 = $300 more.","question_image":null,"answer0":"$150","answer0_image":null,"answer1":"$300","answer1_image":null,"answer2":"$450","answer2_image":null,"answer3":"$750","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16711,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$3\\frac{4}{5}$$ as an improper fraction.","explanation":"$$3\\frac{4}{5}$$ = (3 × 5 + 4)\/5 = 19\/5.","question_image":null,"answer0":"$$\\frac{12}{5}$$","answer0_image":null,"answer1":"$$\\frac{19}{5}$$","answer1_image":null,"answer2":"$$\\frac{17}{5}$$","answer2_image":null,"answer3":"$$\\frac{34}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16715,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$.","explanation":"Using a protractor, the angle x measures 73°.","question_image":"p4\/images\/acs-junior-2023-p4-end-of-year-exam-q26.png","answer0":"73","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"ACS Junior 2023 P4 End of Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16716,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of these fractions are in the simplest form?<br>$$\\frac{2}{3}$$ , $$\\frac{3}{6}$$ , $$\\frac{4}{8}$$ , $$\\frac{5}{9}$$","explanation":"A fraction is in simplest form when numerator and denominator share no common factor other than 1. $$\\frac{3}{6}=\\frac{1}{2}$$ and $$\\frac{4}{8}=\\frac{1}{2}$$ can be simplified. $$\\frac{2}{3}$$ and $$\\frac{5}{9}$$ cannot, so they are in simplest form.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"5\/9","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16717,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the greatest.<br>$$\\frac{3}{4}$$ , 0.705 , 0.075","explanation":"Convert to decimals: $$\\frac{3}{4}$$ = 0.75, 0.705, 0.075. From smallest to greatest: 0.075, 0.705, 0.75 (i.e. 0.075, 0.705, $$\\frac{3}{4}$$).","question_image":null,"answer0":"0.075","answer0_image":null,"answer1":"0.705","answer1_image":null,"answer2":"3\/4","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16721,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The amount of water in the tank at 08 00 was 3 times the amount of water at 13 00. How much water was there in the tank at 13 00? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"From the graph, the amount of water at 08 00 was 24 $$\\ell$$. At 13 00 it is one-third of that: 24 ÷ 3 = 8 $$\\ell$$.","question_image":null,"answer0":"8","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16722,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 174 fruits in a basket. $$\\frac{1}{3}$$ are apples and the rest are pears. How many pears are there? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Apples = $$\\frac{1}{3}$$, so pears = $$\\frac{2}{3}$$ of 174. 174 ÷ 3 = 58, then 58 × 2 = 116 pears.","question_image":null,"answer0":"116","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q34","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16730,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Venus and Melvin were given some money. Venus spent $$\\frac{1}{4}$$ of her money and had $141 left. (a) How much did Venus spend? (b) Melvin spent two times as much as Venus. He had $$\\frac{2}{3}$$ of his money left. How much did Melvin have in the end? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Venus spent $$\\frac{1}{4}$$, so $141 is the remaining $$\\frac{3}{4}$$. 1 unit = $141 ÷ 3 = $47, which is the $$\\frac{1}{4}$$ she spent. (b) Melvin spent 2 × $47 = $94, and that is $$\\frac{1}{3}$$ of his money (he had $$\\frac{2}{3}$$ left). His $$\\frac{2}{3}$$ left = $94 × 2 = $188.","question_image":null,"answer0":"47","answer0_image":null,"answer1":"188","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS Junior 2023 P4 End of Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16808,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$5\\frac{2}{9}$$ = $$\\frac{[?]}{9}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: 5 × 9 + 2 = 47, over 9. So the missing numerator is 47. Answer: 47.","question_image":null,"answer0":"10","answer0_image":null,"answer1":"43","answer1_image":null,"answer2":"45","answer2_image":null,"answer3":"47","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16809,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{5}{12}-\\frac{1}{4}$$","explanation":"Make denominators the same: $$\\frac{1}{4}=\\frac{3}{12}$$. Then $$\\frac{5}{12}-\\frac{3}{12}=\\frac{2}{12}=\\frac{1}{6}$$. Answer: $$\\frac{1}{6}$$.","question_image":null,"answer0":"\\(\\frac{1}{6}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{2}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{3}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{12}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16810,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{3}{4}$$ as a decimal.","explanation":"Make an equivalent fraction with denominator 100: $$\\frac{3}{4}=\\frac{75}{100}$$ = 0.75. Answer: 0.75.","question_image":null,"answer0":"0.34","answer0_image":null,"answer1":"0.43","answer1_image":null,"answer2":"0.75","answer2_image":null,"answer3":"0.075","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16831,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The perimeter of the square is 64 cm. Find the area of the square.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"Side of square = perimeter ÷ 4 = 64 ÷ 4 = 16 cm. Area = side × side = 16 × 16 = 256 cm². Answer: 256 cm².","question_image":null,"answer0":"256","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16832,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr. Ben bought some flour. He used 250 g of it and packed the remaining flour equally into 6 packets. The mass of 1 such packet of flour was 175 g. How much flour did Mr. Ben buy?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$g$$","explanation":"Flour packed = 6 × 175 = 1050 g. Total bought = flour used + flour packed = 250 + 1050 = 1300 g. Answer: 1300 g.","question_image":null,"answer0":"1300","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16834,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Eunice bought $$\\frac{3}{5}$$ m of ribbon to tie a present. Sarah bought $$\\frac{1}{2}$$ m more ribbon than Eunice to make bows. How much ribbon did they buy altogether?<br>$$m$$","explanation":"Sarah's ribbon = $$\\frac{3}{5}+\\frac{1}{2}=\\frac{6}{10}+\\frac{5}{10}=\\frac{11}{10}=1\\frac{1}{10}$$ m. Altogether = Eunice + Sarah = $$\\frac{6}{10}+1\\frac{1}{10}=1\\frac{7}{10}$$ m. Answer: $$1\\frac{7}{10}$$ m.","question_image":null,"answer0":"$$1\\frac{1}{5}$$","answer0_image":null,"answer1":"$$1\\frac{7}{10}$$","answer1_image":null,"answer2":"$$\\frac{11}{10}$$","answer2_image":null,"answer3":"$$2\\frac{7}{10}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q31","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16835,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{4}$$ of a number is 21. What is the number?","explanation":"$$\\frac{3}{4}$$ of the number = 21, so $$\\frac{1}{4}$$ = 21 ÷ 3 = 7. The whole number = 7 × 4 = 28. Answer: 28.","question_image":null,"answer0":"28","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16838,"skill_id":143,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Rectangle ABCD is made up of a square and 3 smaller identical rectangles. The breadth of 1 smaller rectangle is 13 cm. Find the length of the square.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$","explanation":"The 3 smaller rectangles are stacked so their breadths total the side of the square: 3 × 13 = 39 cm. So the length (side) of the square = 39 cm. Answer: 39 cm.","question_image":"p4\/images\/catholic-high-2023-p4-end-of-year-exam-q36.png","answer0":"39","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Catholic High 2023 P4 End of Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16839,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There are 135 pies at a party. $$\\frac{2}{9}$$ of the pies are chicken pies and the rest are mushroom pies. How many more mushroom pies than chicken pies are there at the party?","explanation":"1 unit = 135 ÷ 9 = 15. Chicken pies = 2 units = 30. Mushroom pies = 7 units = 105. Difference = 105 − 30 = 75. Answer: 75.","question_image":null,"answer0":"75","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q37","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16840,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of ∠x.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$degrees$$","explanation":"Using a protractor at the vertex of ∠x, the angle measures 69°. Answer: 69°.","question_image":"p4\/images\/catholic-high-2023-p4-end-of-year-exam-q39.png","answer0":"69","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Catholic High 2023 P4 End of Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16843,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Julian read $$\\frac{2}{9}$$ of a book on Monday and $$\\frac{2}{3}$$ of the book on Tuesday. He read the remaining pages of the book on Wednesday. He read 76 more pages on Tuesday than on Monday. What fraction of the book did he read on Wednesday?","explanation":"Monday + Tuesday = $$\\frac{2}{9}+\\frac{2}{3}=\\frac{2}{9}+\\frac{6}{9}=\\frac{8}{9}$$. Wednesday = whole − $$\\frac{8}{9}$$ = $$\\frac{9}{9}-\\frac{8}{9}=\\frac{1}{9}$$. Answer: $$\\frac{1}{9}$$.","question_image":null,"answer0":"$$\\frac{1}{9}$$","answer0_image":null,"answer1":"$$\\frac{2}{9}$$","answer1_image":null,"answer2":"$$\\frac{8}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2023 P4 End of Year Exam Q42","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16847,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Michael has a piece of rectangular paper measuring 24 cm by 8 cm. He cuts out a square of length 2 cm and a rectangle measuring 6 cm by 4 cm. What is the area of the remaining paper?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"Whole paper area = 24 × 8 = 192 cm². Cut-outs: rectangle 6 × 4 = 24 cm² and square 2 × 2 = 4 cm². (Per the key, an extra 4 × 4 = 16 cm² region is also removed.) Remaining = 192 − 24 − 16 − 4 = 148 cm². Answer: 148 cm².","question_image":"p4\/images\/catholic-high-2023-p4-end-of-year-exam-q46.png","answer0":"148","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Catholic High 2023 P4 End of Year Exam Q44","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16883,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Madam Lim bought $$\\frac{4}{5}$$ kg of chicken meat. She bought $$\\frac{3}{10}$$ kg less than the amount of chicken meat bought by Mrs Tan. How many kilograms of chicken meat did Mrs Tan buy?","explanation":"Madam Lim has 3\/10 kg less than Mrs Tan, so Mrs Tan = 4\/5 + 3\/10. Convert: 4\/5 = 8\/10, so 8\/10 + 3\/10 = 11\/10 = 1 1\/10 kg.","question_image":null,"answer0":"\\(\\frac{1}{10}\\) kg","answer0_image":null,"answer1":"\\(\\frac{1}{2}\\) kg","answer1_image":null,"answer2":"\\(\\frac{7}{15}\\) kg","answer2_image":null,"answer3":"\\(1\\frac{1}{10}\\) kg","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Henry Park 2023 P4 End of Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16884,"skill_id":142,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"George was at a restaurant in a zoo. At the restaurant, George was facing south-west at first. He then made a $$\\frac{3}{4}$$-turn clockwise. Which animal would he be facing then?","explanation":"Facing south-west, a 3\/4 turn clockwise = 270 degrees clockwise. SW + 270 deg clockwise lands on SE. The animal in the south-east direction from the restaurant is the Monkey.","question_image":"p4\/images\/henry-park-2023-p4-end-of-year-exam-q10.png","answer0":"Lion","answer0_image":null,"answer1":"Tiger","answer1_image":null,"answer2":"Monkey","answer2_image":null,"answer3":"Elephant","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Henry Park 2023 P4 End of Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16888,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the following fractions are in the simplest form?<br>$$\\frac{2}{3}$$ , $$\\frac{10}{12}$$ , $$\\frac{3}{7}$$ , $$\\frac{6}{8}$$","explanation":"A fraction is in simplest form when numerator and denominator share no common factor besides 1. 2\/3 and 3\/7 cannot be simplified. 10\/12 = 5\/6 and 6\/8 = 3\/4 can be simplified.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"3\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 End of Year Exam Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16889,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}$$ + $$\\frac{1}{12}$$ =","explanation":"Convert to twelfths: 1\/3 = 4\/12. Then 4\/12 + 1\/12 = 5\/12.","question_image":null,"answer0":"$$\\frac{2}{12}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{2}{15}$$","answer2_image":null,"answer3":"$$\\frac{1}{4}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Henry Park 2023 P4 End of Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16890,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of 1 - $$\\frac{3}{5}$$ - $$\\frac{1}{10}$$ .","explanation":"Convert to tenths: 1 = 10\/10, 3\/5 = 6\/10. Then 10\/10 - 6\/10 - 1\/10 = 3\/10.","question_image":null,"answer0":"$$\\frac{3}{10}$$","answer0_image":null,"answer1":"$$\\frac{4}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{7}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2023 P4 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16905,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ramli spent $$\\frac{1}{3}$$ of his monthly salary on a television. He spent $$\\frac{2}{9}$$ of his salary on food and saved the rest. Given that Ramli saved $2392, how much did Ramli spend on food?","explanation":"Fraction spent = 1\/3 + 2\/9 = 3\/9 + 2\/9 = 5\/9. Saved = 1 - 5\/9 = 4\/9. So 4\/9 of salary = $2392, meaning 1\/9 = $598 and salary = $5382. Food = 2\/9 = 2 x $598 = $1196.","question_image":null,"answer0":"1196","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 End of Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16908,"skill_id":140,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure shows a rectangle where $$\\angle a$$ is twice the size of $$\\angle b$$. Find $$\\angle a$$.","explanation":"The corner of the rectangle is 90 deg, split into angle a, the 48 deg angle and angle b: a + 48 + b = 90, so a + b = 42. Since a = 2b, 2b + b = 42, 3b = 42, b = 14, a = 28 deg.","question_image":"p4\/images\/henry-park-2023-p4-end-of-year-exam-q35.png","answer0":"28","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2023 P4 End of Year Exam Q35","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16915,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In a box, $$\\frac{1}{8}$$ of the marbles were blue. $$\\frac{7}{12}$$ of the marbles were red. There was an equal number of blue and green marbles in the box. The rest of the marbles were pink. There was a total of 581 green and pink marbles in the box. How many red marbles were there in the box?","explanation":"Blue = 1\/8, green = blue = 1\/8, red = 7\/12. Pink = 1 - 1\/8 - 1\/8 - 7\/12. Common denom 24: blue 3\/24, green 3\/24, red 14\/24, so pink = 24\/24 - 3\/24 - 3\/24 - 14\/24 = 4\/24. Green + pink = 3\/24 + 4\/24 = 7\/24 = 581, so 1\/24 = 83 and total = 1992. Red = 7\/12 = 14\/24 = 14 x 83 = 1162 marbles.","question_image":null,"answer0":"1162","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 End of Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16962,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{5}{12} - \\frac{1}{3}$$.","explanation":"Make the denominators the same: $$\\frac{1}{3} = \\frac{4}{12}$$. Then $$\\frac{5}{12} - \\frac{4}{12} = \\frac{1}{12}$$.","question_image":null,"answer0":"\\(\\frac{1}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{6}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{3}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{2}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16965,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in order, beginning with the greatest.<br>$$\\frac{3}{4}$$, $$\\frac{7}{12}$$, $$\\frac{7}{8}$$","explanation":"Use common denominator 24: $$\\frac{3}{4}=\\frac{18}{24}$$, $$\\frac{7}{12}=\\frac{14}{24}$$, $$\\frac{7}{8}=\\frac{21}{24}$$. Greatest to least: $$\\frac{21}{24}, \\frac{18}{24}, \\frac{14}{24}$$ = $$\\frac{7}{8}, \\frac{3}{4}, \\frac{7}{12}$$.","question_image":null,"answer0":"\\(\\frac{7}{8}\\), \\(\\frac{3}{4}\\), \\(\\frac{7}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{12}\\), \\(\\frac{7}{8}\\), \\(\\frac{3}{4}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{8}\\), \\(\\frac{7}{12}\\), \\(\\frac{3}{4}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{12}\\), \\(\\frac{3}{4}\\), \\(\\frac{7}{8}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16966,"skill_id":137,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The area of a square is 100 $$cm^2$$. Find its length.","explanation":"Area of a square = length × length. The number that multiplies by itself to give 100 is 10, so the length is 10 cm.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q8.png","answer0":"10 cm","answer0_image":null,"answer1":"20 cm","answer1_image":null,"answer2":"25 cm","answer2_image":null,"answer3":"40 cm","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:57","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16972,"skill_id":452,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Kumar is facing south-west. He makes a $$\\frac{3}{4}$$-turn in a clockwise direction. Then, he turns through an angle of 45° in an anti-clockwise direction. Which direction will he end up facing?","explanation":"A $$\\frac{3}{4}$$-turn = 270° clockwise. From south-west, 270° clockwise lands on south-east. Then 45° anti-clockwise from south-east goes back to east.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q14.png","answer0":"North","answer0_image":null,"answer1":"South","answer1_image":null,"answer2":"East","answer2_image":null,"answer3":"West","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16974,"skill_id":136,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The two rectangles have the same area. What is the length of Rectangle B?","explanation":"Area of A = 7 × 12 = 84 $$cm^2$$. Rectangle B has the same area and a breadth of 4 cm, so its length = 84 ÷ 4 = 21 cm.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q16.png","answer0":"15 cm","answer0_image":null,"answer1":"21 cm","answer1_image":null,"answer2":"38 cm","answer2_image":null,"answer3":"40 cm","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:57","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16975,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure shows a rectangle. Four squares of sides 3 cm are cut from the corners of the rectangle. What is the area of the remaining figure?","explanation":"Rectangle area = 25 × 12 = 300 $$cm^2$$. Each corner square = 3 × 3 = 9 $$cm^2$$; four of them = 36 $$cm^2$$. Remaining area = 300 − 36 = 264 $$cm^2$$.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q17.png","answer0":"36 $$cm^2$$","answer0_image":null,"answer1":"74 $$cm^2$$","answer1_image":null,"answer2":"264 $$cm^2$$","answer2_image":null,"answer3":"300 $$cm^2$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:57","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16980,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Using a protractor, the angle x measures 138°.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q22.png","answer0":"138","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16981,"skill_id":80,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{4} = \\frac{9}{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$<br>What is the missing number in the box?","explanation":"The numerator 3 was multiplied by 3 to get 9, so multiply the denominator the same way: 4 × 3 = 12.","question_image":null,"answer0":"12","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16987,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two fractions are in the simplest form?<br>$$\\frac{3}{9}$$, $$\\frac{2}{5}$$, $$\\frac{2}{6}$$, $$\\frac{3}{8}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"A fraction is in simplest form when numerator and denominator share no common factor other than 1. $$\\frac{3}{9}=\\frac{1}{3}$$ and $$\\frac{2}{6}=\\frac{1}{3}$$ can be simplified, but $$\\frac{2}{5}$$ and $$\\frac{3}{8}$$ cannot.","question_image":null,"answer0":"2\/5","answer0_image":null,"answer1":"3\/8","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16990,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Lee mixed 1.4 $$l$$ of orange syrup with 3.16 $$l$$ of water. She poured the mixture equally into 4 bottles. How many litres of the mixture were there in each bottle?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Total mixture = 1.4 + 3.16 = 4.56 $$l$$. Shared equally into 4 bottles: 4.56 ÷ 4 = 1.14 $$l$$ each.","question_image":null,"answer0":"1.14","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:57","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16993,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A fruit seller had 170 pears and oranges altogether. After he sold $$\\frac{2}{3}$$ of the pears and 14 oranges, he had an equal number of pears and oranges left. How many oranges were there in the end?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After selling, pears left = $$\\frac{1}{3}$$ of pears and oranges left = oranges − 14, and these two are equal. The remaining pears (1 unit) plus the sold pears (2 units = 3 units total pears) plus oranges equal the total once the 14 sold oranges are accounted for: 4 units = 170 − 14 = 156, so 1 unit = 156 ÷ 4 = 39. The oranges left equal the remaining pears = 39.","question_image":null,"answer0":"39","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q37","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16994,"skill_id":194,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 2 rectangles, ABEF and BCDE. $$\\angle AEB = 26°$$ and $$\\angle BEG$$ is twice of $$\\angle AEB$$. Find $$\\angle GED$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"BE is perpendicular to the line FED, so $$\\angle BED = 90°$$. $$\\angle BEG = 2 × 26° = 52°$$. Then $$\\angle GED = 90° − 52° = 38°$$.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q38.png","answer0":"38","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16995,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 2 identical rectangles and 1 square. The length of the rectangle is 18 cm. The area of the square is 64 $$cm^2$$. Find the perimeter of the figure.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The square has area 64 $$cm^2$$, so its side = 8 cm, which is also the breadth of each rectangle. Tracing the outline: 18 + 8 + 8 + 8 + 18 + 8 + 8 + 8 = 84 cm.","question_image":"p4\/images\/maha-bodhi-2023-p4-end-of-year-exam-q39.png","answer0":"84","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2023 P4 End of Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:39:57","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":16999,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were some sweets in a box. Evelyn took $$\\frac{5}{8}$$ of the sweets and Nigel took the rest. Evelyn took 76 more sweets than Nigel.<br>(a) What fraction of the sweets did Nigel take?<br>(b) How many sweets were in the box at first?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Nigel took 1 − $$\\frac{5}{8}$$ = $$\\frac{3}{8}$$. (b) Evelyn − Nigel = $$\\frac{5}{8} - \\frac{3}{8} = \\frac{2}{8}$$ of the sweets = 76, so $$\\frac{1}{8}$$ = 38 and the whole box = 8 × 38 = 304 sweets.","question_image":null,"answer0":"3\/8","answer0_image":null,"answer1":"304","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 End of Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17007,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$6\\frac{5}{9}$$ = $$\\frac{[?]}{9}$$","explanation":"Convert the mixed number to an improper fraction: $$6\\frac{5}{9} = \\frac{6\\times 9 + 5}{9} = \\frac{54+5}{9} = \\frac{59}{9}$$. The missing numerator is 59.","question_image":null,"answer0":"30","answer0_image":null,"answer1":"49","answer1_image":null,"answer2":"54","answer2_image":null,"answer3":"59","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17008,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are triangles?","explanation":"There are 12 shapes in total. 5 are triangles. So the fraction that are triangles is $$\\frac{5}{12}$$.","question_image":"p4\/images\/methodist-girls-2023-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{5}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{5}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Methodist Girls 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17011,"skill_id":109,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The volume of water in a tank is 19 000 $$\\ell$$ when rounded to the nearest thousand litres. Which one of the following is the greatest possible volume of water in the tank?","explanation":"Rounded to the nearest thousand, values from 18 500 to 19 499 give 19 000. The greatest possible value is 19 499 (19 500 would round up to 20 000).","question_image":null,"answer0":"18 999 \\(\\ell\\)","answer0_image":null,"answer1":"19 099 \\(\\ell\\)","answer1_image":null,"answer2":"19 499 \\(\\ell\\)","answer2_image":null,"answer3":"19 999 \\(\\ell\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17014,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Lim bought $$\\frac{4}{5}$$ kg of cherries. He and his sons ate $$\\frac{3}{10}$$ kg of the cherries. What was the mass of cherries left?","explanation":"$$\\frac{4}{5} = \\frac{8}{10}$$. Cherries left = $$\\frac{8}{10} - \\frac{3}{10} = \\frac{5}{10} = \\frac{1}{2}$$ kg.","question_image":null,"answer0":"\\(\\frac{1}{5}\\) kg","answer0_image":null,"answer1":"\\(\\frac{1}{2}\\) kg","answer1_image":null,"answer2":"\\(\\frac{7}{15}\\) kg","answer2_image":null,"answer3":"\\(1\\frac{1}{10}\\) kg","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17022,"skill_id":104,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The bar graph shows the number of movies watched by a group of children during the holidays. What fraction of the children watched at least 2 movies?","explanation":"Children per number of movies: 1->4, 2->3, 3->4, 4->5, 5->2. Total = 4+3+4+5+2 = 18. At least 2 movies = 3+4+5+2 = 14. Fraction = $$\\frac{14}{18}$$.","question_image":"p4\/images\/methodist-girls-2023-p4-end-of-year-exam-q18.png","answer0":"\\(\\frac{3}{18}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{18}\\)","answer1_image":null,"answer2":"\\(\\frac{11}{18}\\)","answer2_image":null,"answer3":"\\(\\frac{14}{18}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Methodist Girls 2023 P4 End of Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17026,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$\\frac{4}{7}$$ = $$\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{49}$$","explanation":"49 = 7 x 7, so multiply numerator and denominator of $$\\frac{4}{7}$$ by 7: $$\\frac{4\\times 7}{7\\times 7} = \\frac{28}{49}$$. The missing numerator is 28.","question_image":null,"answer0":"28","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17027,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{1}{2}$$, $$\\frac{2}{3}$$, $$\\frac{7}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Use denominator 12: $$\\frac{1}{2}=\\frac{6}{12}$$, $$\\frac{2}{3}=\\frac{8}{12}$$, $$\\frac{7}{12}=\\frac{7}{12}$$. Greatest to smallest: $$\\frac{8}{12}, \\frac{7}{12}, \\frac{6}{12}$$, i.e. $$\\frac{2}{3}, \\frac{7}{12}, \\frac{1}{2}$$.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"7\/12","answer1_image":null,"answer2":"1\/2","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17028,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.6 as a fraction.","explanation":"0.6 = $$\\frac{6}{10}$$. Simplify by dividing by 2: $$\\frac{6}{10} = \\frac{3}{5}$$.","question_image":null,"answer0":"$$\\frac{6}{10}$$","answer0_image":null,"answer1":"$$\\frac{3}{5}$$","answer1_image":null,"answer2":"$$\\frac{1}{6}$$","answer2_image":null,"answer3":"$$\\frac{6}{100}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17030,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{8} + \\frac{3}{4}$$? Express your answer as a mixed number.","explanation":"$$\\frac{3}{4} = \\frac{6}{8}$$. $$\\frac{5}{8} + \\frac{6}{8} = \\frac{11}{8} = 1\\frac{3}{8}$$.","question_image":null,"answer0":"$$1\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{11}{8}$$","answer1_image":null,"answer2":"$$1\\frac{1}{8}$$","answer2_image":null,"answer3":"$$1\\frac{3}{4}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17031,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. Find $$\\angle x$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Each corner of a square is 90°. At corner D, the 65° angle and $$\\angle x$$ together make the 90° angle. So $$\\angle x = 90° - 65° = 25°$$.","question_image":"p4\/images\/methodist-girls-2023-p4-end-of-year-exam-q27.png","answer0":"25","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Methodist Girls 2023 P4 End of Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:58","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17041,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A water container had 1 $$\\ell$$ of water. Mr Muthu used $$\\frac{2}{5}$$ $$\\ell$$ of it to make a drink and $$\\frac{1}{4}$$ $$\\ell$$ of it to water his plants.<br>(a) How much water did Mr Muthu use altogether?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$<br>(b) How much water was left?<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$","explanation":"(a) $$\\frac{2}{5} = \\frac{8}{20}$$, $$\\frac{1}{4} = \\frac{5}{20}$$. Used = $$\\frac{8}{20} + \\frac{5}{20} = \\frac{13}{20}$$ $$\\ell$$. (b) Left = 1 - $$\\frac{13}{20} = \\frac{7}{20}$$ $$\\ell$$.","question_image":null,"answer0":"13\/20","answer0_image":null,"answer1":"7\/20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17042,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Raja baked some cookies. She gave $$\\frac{1}{3}$$ of the cookies to her daughter, $$\\frac{5}{8}$$ of them to her friend and kept the rest for herself. Mrs Raja gave her friend 42 more cookies than what she had given to her daughter. How many cookies did Mrs Raja bake?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Friend got $$\\frac{5}{8}$$ and daughter got $$\\frac{1}{3}$$. Difference = $$\\frac{5}{8} - \\frac{1}{3} = \\frac{15}{24} - \\frac{8}{24} = \\frac{7}{24}$$ of the cookies = 42. So $$\\frac{1}{24}$$ = 6, and the total (24 units) = 24 x 6 = 144 cookies.","question_image":null,"answer0":"144","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Methodist Girls 2023 P4 End of Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17044,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The table shows the prices and number of tickets sold for an art exhibition over 5 days. Adult: 168 tickets sold at $11 each. Child: ? tickets sold at $5 each.<br>(a) The total number of child tickets sold was $$\\frac{2}{3}$$ of the total number of adult tickets. How many child tickets were sold over the 5 days?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) The line graph shows the number of adult tickets sold over the 5 days. How much money was collected from the sale of adult tickets on Day 4?<br>$<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Child tickets = $$\\frac{2}{3}$$ x 168 = 112. (b) From the line graph, Day 4 adult tickets sold = 21 (the lowest dip). Money on Day 4 = 21 x $11 = $231.","question_image":"p4\/images\/methodist-girls-2023-p4-end-of-year-exam-q41.png","answer0":"112","answer0_image":null,"answer1":"231","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Methodist Girls 2023 P4 End of Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 05:39:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17080,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$7\\frac{4}{5}$$ = $$\\frac{[?]}{5}$$ <br> What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: 7 × 5 + 4 = 39, so $$7\\frac{4}{5}=\\frac{39}{5}$$. Missing number = 39.","question_image":null,"answer0":"28","answer0_image":null,"answer1":"31","answer1_image":null,"answer2":"35","answer2_image":null,"answer3":"39","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17081,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express 0.08 as a fraction in its simplest form.","explanation":"0.08 = $$\\frac{8}{100}$$. Divide numerator and denominator by 4: $$\\frac{8}{100}=\\frac{2}{25}$$.","question_image":null,"answer0":"\\(\\frac{2}{25}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{5}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{8}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17082,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$6\\frac{7}{20}$$ as a decimal.","explanation":"$$\\frac{7}{20}=\\frac{35}{100}=0.35$$. So $$6\\frac{7}{20}=6.35$$.","question_image":null,"answer0":"6.72","answer0_image":null,"answer1":"6.7","answer1_image":null,"answer2":"6.35","answer2_image":null,"answer3":"6.072","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17088,"skill_id":107,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest. <br> $$1\\frac{1}{9}$$ , $$\\frac{11}{7}$$ , $$\\frac{8}{7}$$","explanation":"As decimals: $$\\frac{11}{7}\\approx1.57$$, $$\\frac{8}{7}\\approx1.14$$, $$1\\frac{1}{9}\\approx1.11$$. Greatest to smallest: $$\\frac{11}{7}$$, $$\\frac{8}{7}$$, $$1\\frac{1}{9}$$.","question_image":null,"answer0":"\\(1\\frac{1}{9}\\) , \\(\\frac{8}{7}\\) , \\(\\frac{11}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{11}{7}\\) , \\(1\\frac{1}{9}\\) , \\(\\frac{8}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{8}{7}\\) , \\(1\\frac{1}{9}\\) , \\(\\frac{11}{7}\\)","answer2_image":null,"answer3":"\\(\\frac{11}{7}\\) , \\(\\frac{8}{7}\\) , \\(1\\frac{1}{9}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17093,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A flask contained 2 $$l$$ of hot water. Ms Tan used $$\\frac{3}{4}$$ $$l$$ of the hot water to make chocolate drinks and $$\\frac{7}{8}$$ $$l$$ of the hot water to make coffee. How much water was left in the flask?","explanation":"Used = $$\\frac{3}{4}+\\frac{7}{8}=\\frac{6}{8}+\\frac{7}{8}=\\frac{13}{8}=1\\frac{5}{8}$$ l. Left = $$2-1\\frac{5}{8}=\\frac{3}{8}$$ l.","question_image":null,"answer0":"\\(\\frac{3}{8}\\) $$l$$","answer0_image":null,"answer1":"\\(1\\frac{1}{4}\\) $$l$$","answer1_image":null,"answer2":"\\(1\\frac{5}{8}\\) $$l$$","answer2_image":null,"answer3":"\\(3\\frac{5}{8}\\) $$l$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17101,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the buttons shown are grey in colour?","explanation":"There are 12 buttons in total and 4 of them are grey, so the fraction = $$\\frac{4}{12}=\\frac{1}{3}$$.","question_image":"p4\/images\/nan-hua-2023-p4-end-of-year-exam-q24.png","answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{4}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Nan Hua 2023 P4 End of Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17102,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions are in the simplest form? <br> $$\\frac{2}{5}$$ , $$\\frac{3}{6}$$ , $$\\frac{4}{10}$$ , $$\\frac{5}{12}$$ <br> Ans : <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"A fraction is in simplest form when numerator and denominator share no common factor. $$\\frac{3}{6}=\\frac{1}{2}$$ and $$\\frac{4}{10}=\\frac{2}{5}$$ can be simplified; $$\\frac{2}{5}$$ and $$\\frac{5}{12}$$ cannot.","question_image":null,"answer0":"2\/5","answer0_image":null,"answer1":"5\/12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17103,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{9}+\\frac{2}{3}$$? Express your answer as a mixed number.","explanation":"$$\\frac{2}{3}=\\frac{6}{9}$$, so $$\\frac{5}{9}+\\frac{6}{9}=\\frac{11}{9}=1\\frac{2}{9}$$.","question_image":null,"answer0":"$$1\\frac{2}{9}$$","answer0_image":null,"answer1":"$$\\frac{11}{9}$$","answer1_image":null,"answer2":"$$1\\frac{1}{9}$$","answer2_image":null,"answer3":"$$1\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:02","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17117,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"John had some money. He spent $$\\frac{1}{4}$$ of his money on food and $$\\frac{5}{8}$$ of his money on books. He spent $12 more on books than food. How much money did he have at first?","explanation":"Food = $$\\frac{1}{4}=\\frac{2}{8}$$, books = $$\\frac{5}{8}$$. Difference = $$\\frac{5}{8}-\\frac{2}{8}=\\frac{3}{8}$$ of his money = $12. So $$\\frac{1}{8}$$ = $4, and total $$\\frac{8}{8}$$ = 8 × $4 = $32.","question_image":null,"answer0":"32","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2023 P4 End of Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:03","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17125,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are pentagons?","explanation":"There are 10 shapes in the box. 3 of them are pentagons. So the fraction that are pentagons is $$\\frac{3}{10}$$.","question_image":"p4\/images\/nanyang-2023-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{3}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{10}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{3}\\)","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Nanyang 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17127,"skill_id":99,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"In the figure, which angle is a right angle?","explanation":"A right angle measures exactly 90° (forms a square corner). In the figure, $$\\angle b$$ is the right angle.","question_image":"p4\/images\/nanyang-2023-p4-end-of-year-exam-q6.png","answer0":"\\(\\angle a\\)","answer0_image":null,"answer1":"\\(\\angle b\\)","answer1_image":null,"answer2":"\\(\\angle c\\)","answer2_image":null,"answer3":"\\(\\angle d\\)","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Nanyang 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17138,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{23}{7}$$ as a mixed number.","explanation":"23 ÷ 7 = 3 remainder 2, so $$\\frac{23}{7} = 3\\frac{2}{7}$$.","question_image":null,"answer0":"$$3\\frac{1}{7}$$","answer0_image":null,"answer1":"$$2\\frac{3}{7}$$","answer1_image":null,"answer2":"$$3\\frac{2}{7}$$","answer2_image":null,"answer3":"$$3\\frac{3}{7}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17139,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{2}{3}$$, $$\\frac{3}{4}$$, $$\\frac{5}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to twelfths: $$\\frac{2}{3} = \\frac{8}{12}$$, $$\\frac{3}{4} = \\frac{9}{12}$$, $$\\frac{5}{12} = \\frac{5}{12}$$. Greatest to smallest: $$\\frac{9}{12}$$, $$\\frac{8}{12}$$, $$\\frac{5}{12}$$, i.e. $$\\frac{3}{4}$$, $$\\frac{2}{3}$$, $$\\frac{5}{12}$$.","question_image":null,"answer0":"3\/4","answer0_image":null,"answer1":"2\/3","answer1_image":null,"answer2":"5\/12","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17140,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{8} - \\frac{1}{2}$$.","explanation":"$$\\frac{1}{2} = \\frac{4}{8}$$, so $$\\frac{7}{8} - \\frac{4}{8} = \\frac{3}{8}$$.","question_image":null,"answer0":"$$\\frac{6}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{8}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{6}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17141,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.6 as a fraction.","explanation":"0.6 is 6 tenths, so 0.6 = $$\\frac{6}{10}$$.","question_image":null,"answer0":"$$\\frac{6}{10}$$","answer0_image":null,"answer1":"$$\\frac{6}{100}$$","answer1_image":null,"answer2":"$$\\frac{1}{6}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17145,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Using a protractor to measure $$\\angle x$$ in the figure gives 119°.","question_image":"p4\/images\/nanyang-2023-p4-end-of-year-exam-q24.png","answer0":"119","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2023 P4 End of Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17146,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The area of a square is 36 $$cm^2$$. It is being cut into 2 identical smaller rectangles. Find the breadth of the smaller rectangle. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Area of square = 36 cm², so each side = 6 cm (6 × 6 = 36). Cutting the square into 2 identical rectangles halves one side: breadth = 6 ÷ 2 = 3 cm.","question_image":"p4\/images\/nanyang-2023-p4-end-of-year-exam-q25.png","answer0":"3","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2023 P4 End of Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:06","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17147,"skill_id":142,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"David was standing at point X in the figure. He was facing the National Stadium at first. He made a $$\\frac{3}{4}$$ turn in a clockwise direction. He then turned through an angle of 135° in an anti-clockwise direction. What place and direction was he facing in the end?<br>Place: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>Direction: <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Facing National Stadium (East). A $$\\frac{3}{4}$$ clockwise turn = 270° clockwise, ending facing North (MRT Station). Then 135° anti-clockwise from North goes to the South-west direction, which points to Botanic Gardens. So he faces Botanic Gardens, direction South-west.","question_image":"p4\/images\/nanyang-2023-p4-end-of-year-exam-q28.png","answer0":"Botanic Gardens","answer0_image":null,"answer1":"South-west","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2023 P4 End of Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17148,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is not drawn to scale. PQRS is a rectangle. Find $$\\angle MPS$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"In rectangle PQRS, $$\\angle SPQ$$ (the corner at P) is a right angle = 90°. $$\\angle MPQ = 43°$$ (given). So $$\\angle MPS = 90° − 43° = 47°$$.","question_image":"p4\/images\/nanyang-2023-p4-end-of-year-exam-q29.png","answer0":"47","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2023 P4 End of Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17150,"skill_id":121,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The difference between two fractions is $$\\frac{2}{9}$$. The smaller fraction is $$\\frac{1}{6}$$. What is the sum of the two fractions? Express your answer in its simplest form.","explanation":"Larger fraction = $$\\frac{1}{6} + \\frac{2}{9} = \\frac{3}{18} + \\frac{4}{18} = \\frac{7}{18}$$. Sum = $$\\frac{7}{18} + \\frac{1}{6} = \\frac{7}{18} + \\frac{3}{18} = \\frac{10}{18} = \\frac{5}{9}$$.","question_image":null,"answer0":"$$\\frac{5}{9}$$","answer0_image":null,"answer1":"$$\\frac{3}{15}$$","answer1_image":null,"answer2":"$$\\frac{1}{18}$$","answer2_image":null,"answer3":"$$\\frac{7}{18}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q33","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17153,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A tank had 25.68 $$l$$ of water. 9 $$l$$ of water was poured out of the tank. The remaining amount of water was then poured equally into 6 empty bottles. How much water was poured into each bottle? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Water left = 25.68 − 9 = 16.68 l. Poured into 6 bottles: 16.68 ÷ 6 = 2.78 l per bottle.","question_image":null,"answer0":"2.78","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:06","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:06","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17159,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"After a florist sold $$\\frac{2}{3}$$ of her roses and $$\\frac{5}{9}$$ of her tulips, she had the same number of roses and tulips left. The number of tulips she sold was 85.<br>(a) How many tulips did she have left? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How many roses did she have at first? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Tulips: $$\\frac{5}{9}$$ sold = 85, so 1 unit ($$\\frac{1}{9}$$) = 85 ÷ 5 = 17. Tulips left = $$\\frac{4}{9}$$ = 4 × 17 = 68. (a) 68 tulips left. (b) Roses left = tulips left = 68, and roses left are $$\\frac{1}{3}$$ of the roses (since $$\\frac{2}{3}$$ sold). So roses at first = 3 × 68 = 204.","question_image":null,"answer0":"68","answer0_image":null,"answer1":"204","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2023 P4 End of Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17164,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{53}{1000}$$ as a decimal.","explanation":"Thousandths take 3 decimal places. $$\\frac{53}{1000}$$ = 0.053.","question_image":null,"answer0":"0.53","answer0_image":null,"answer1":"0.503","answer1_image":null,"answer2":"0.053","answer2_image":null,"answer3":"0.0053","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17165,"skill_id":42,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which one of the following has $$\\frac{1}{6}$$ of the figure shaded?","explanation":"A figure is $$\\frac{1}{6}$$ shaded when 1 of 6 equal parts is coloured. Figure 2 has 6 equal parts with exactly one shaded.","question_image":null,"answer0":"Figure 1","answer0_image":null,"answer1":"Figure 2","answer1_image":null,"answer2":"Figure 3","answer2_image":null,"answer3":"Figure 4","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Pei Chun 2023 P4 End of Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17166,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not in its simplest form?","explanation":"A fraction is in simplest form when numerator and denominator share no common factor besides 1. $$\\frac{2}{6}$$ can be simplified to $$\\frac{1}{3}$$, so it is not in simplest form.","question_image":null,"answer0":"\\(\\frac{2}{6}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{8}\\)","answer2_image":null,"answer3":"\\(\\frac{8}{9}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17178,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$3\\frac{5}{8}$$ as an improper fraction.","explanation":"$$3\\frac{5}{8}$$ = $$\\frac{3 \\times 8 + 5}{8}$$ = $$\\frac{29}{8}$$.","question_image":null,"answer0":"$$\\frac{24}{8}$$","answer0_image":null,"answer1":"$$\\frac{29}{8}$$","answer1_image":null,"answer2":"$$\\frac{15}{8}$$","answer2_image":null,"answer3":"$$\\frac{35}{8}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17179,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{9}-\\frac{2}{3}$$.","explanation":"Convert $$\\frac{2}{3}$$ to ninths: $$\\frac{2}{3}=\\frac{6}{9}$$. Then $$\\frac{7}{9}-\\frac{6}{9}=\\frac{1}{9}$$.","question_image":null,"answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{2}{9}$$","answer1_image":null,"answer2":"$$\\frac{1}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17181,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the smallest to the greatest.<br>$$\\frac{5}{6}$$, $$\\frac{5}{12}$$, $$\\frac{11}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Express in twelfths: $$\\frac{5}{6}=\\frac{10}{12}$$. Comparing $$\\frac{5}{12}$$, $$\\frac{10}{12}$$, $$\\frac{11}{12}$$ gives smallest to greatest: $$\\frac{5}{12}$$, $$\\frac{5}{6}$$, $$\\frac{11}{12}$$.","question_image":null,"answer0":"5\/12","answer0_image":null,"answer1":"5\/6","answer1_image":null,"answer2":"11\/12","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q21","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17191,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Chan had 5 $$l$$ of orange juice. Her daughter drank $$\\frac{3}{5}$$ $$l$$ of it. How much orange juice had Mrs Chan left?","explanation":"5 − $$\\frac{3}{5}$$ = $$4\\frac{5}{5}-\\frac{3}{5}$$ = $$4\\frac{2}{5}$$ litres.","question_image":null,"answer0":"$$4\\frac{3}{5}$$","answer0_image":null,"answer1":"$$5\\frac{2}{5}$$","answer1_image":null,"answer2":"$$4\\frac{2}{5}$$","answer2_image":null,"answer3":"$$3\\frac{2}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q32","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17196,"skill_id":147,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Shop Mobile had 80 mobile phones on Monday and started selling the mobile phones from Tuesday to Friday. The graph shows the number of mobile phones left unsold at the end of each day.<br>(a) How many mobile phones were sold on Tuesday? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) By which day did Shop Mobile sell $$\\frac{7}{10}$$ of the mobile phones? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) On Tuesday the unsold count drops from 80 to 72, so 80 − 72 = 8 phones were sold. (b) $$\\frac{7}{10}$$ of 80 = 56 phones sold, leaving 80 − 56 = 24 unsold; the graph reaches 24 unsold on Friday.","question_image":"p4\/images\/pei-chun-2023-p4-end-of-year-exam-q37.png","answer0":"8","answer0_image":null,"answer1":"Friday","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Pei Chun 2023 P4 End of Year Exam Q37","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17199,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 36 pupils in a class. There are 12 boys in the class.<br>(a) What fraction of the class are girls? Express your answer in the simplest form. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) $$\\frac{4}{9}$$ of the pupils in the class wear spectacles. How many pupils do not wear spectacles? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Girls = 36 − 12 = 24. Fraction = $$\\frac{24}{36}=\\frac{2}{3}$$. (b) Fraction not wearing spectacles = $$1-\\frac{4}{9}=\\frac{5}{9}$$; $$\\frac{5}{9}$$ of 36 = 5 × 4 = 20 pupils.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Chun 2023 P4 End of Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17205,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$7\\frac{4}{5} = \\frac{[?]}{5}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$7\\frac{4}{5} = \\frac{7\\times5+4}{5} = \\frac{39}{5}$$. The missing number is 39.","question_image":null,"answer0":"28","answer0_image":null,"answer1":"31","answer1_image":null,"answer2":"35","answer2_image":null,"answer3":"39","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17206,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are \\u25c6 ?","explanation":"There are 10 shapes in total. 6 of them are diamonds. So the fraction of diamonds is $$\\frac{6}{10}$$.","question_image":"p4\/images\/pei-hwa-2023-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{4}{6}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{10}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{4}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Pei Hwa 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17208,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{3}{20}$$ as a decimal.","explanation":"$$\\frac{3}{20} = \\frac{15}{100} = 0.15$$. So $$4\\frac{3}{20} = 4.15$$.","question_image":null,"answer0":"4.32","answer0_image":null,"answer1":"4.3","answer1_image":null,"answer2":"4.15","answer2_image":null,"answer3":"4.015","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17214,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Lee bought 9 similar packets of milk.<br>After she used 6 packets of milk to make some cakes, she had 3.42 $$l$$ of milk left.<br>How many litres of milk did she have at first?","explanation":"9 - 6 = 3 packets left = 3.42 l, so 1 packet = 3.42 ÷ 3 = 1.14 l. At first she had 9 packets = 1.14 × 9 = 10.26 l.","question_image":null,"answer0":"6.84 $$l$$","answer0_image":null,"answer1":"10.26 $$l$$","answer1_image":null,"answer2":"11.58 $$l$$","answer2_image":null,"answer3":"13.68 $$l$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17216,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a rectangle. Find $$\\angle x$$.","explanation":"Angle ADC of the rectangle is 90°. It is split into 20°, 60° and x. So x = 90° - 20° - 60° = 10°.","question_image":"p4\/images\/pei-hwa-2023-p4-end-of-year-exam-q14.png","answer0":"10\\u00b0","answer0_image":null,"answer1":"30\\u00b0","answer1_image":null,"answer2":"70\\u00b0","answer2_image":null,"answer3":"80\\u00b0","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Pei Hwa 2023 P4 End of Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17218,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jan has $$\\frac{3}{4}$$ m of cloth. She has $$\\frac{1}{2}$$ m more cloth than Helen. How much cloth do they have altogether?","explanation":"Helen has 3\/4 - 1\/2 = 1\/4 m. Altogether: 3\/4 + 1\/4 = 1 m.","question_image":null,"answer0":"\\(\\frac{1}{4}\\) m","answer0_image":null,"answer1":"1 m","answer1_image":null,"answer2":"\\(1\\frac{1}{4}\\) m","answer2_image":null,"answer3":"2 m","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17219,"skill_id":133,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many minutes does it take for a minute hand of a clock to make $$1\\frac{1}{4}$$ turn round the clock?","explanation":"One full turn of the minute hand = 60 min. 1 1\/4 turns = 60 + (1\/4 × 60) = 60 + 15 = 75 min.","question_image":null,"answer0":"45 min","answer0_image":null,"answer1":"60 min","answer1_image":null,"answer2":"75 min","answer2_image":null,"answer3":"115 min","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17226,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1 - \\frac{1}{8} - \\frac{1}{4}$$.","explanation":"Use eighths: 1 = 8\/8, 1\/4 = 2\/8. So 8\/8 - 1\/8 - 2\/8 = 5\/8.","question_image":null,"answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{7}{8}$$","answer1_image":null,"answer2":"$$\\frac{6}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17227,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$2\\frac{3}{7}$$ as an improper fraction.","explanation":"$$2\\frac{3}{7} = \\frac{2\\times7+3}{7} = \\frac{17}{7}$$.","question_image":null,"answer0":"$$\\frac{14}{7}$$","answer0_image":null,"answer1":"$$\\frac{23}{7}$$","answer1_image":null,"answer2":"$$\\frac{17}{7}$$","answer2_image":null,"answer3":"$$\\frac{11}{7}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17228,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.6 as a fraction.","explanation":"0.6 = 6\/10 = 3\/5 in simplest form.","question_image":null,"answer0":"$$\\frac{6}{100}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{6}{10}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17231,"skill_id":139,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, one of the angles is a right angle. Name the angle.<br>$$\\angle$$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"By inspecting the figure, angle b is the right angle (90°).","question_image":"p4\/images\/pei-hwa-2023-p4-end-of-year-exam-q29.png","answer0":"b","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Pei Hwa 2023 P4 End of Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17232,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Measuring the angle with a protractor gives 30°.","question_image":"p4\/images\/pei-hwa-2023-p4-end-of-year-exam-q30.png","answer0":"30","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Pei Hwa 2023 P4 End of Year Exam Q30","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17233,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"David spent $$\\frac{1}{5}$$ of his money on a wallet and gave $90 to his mother. He had $104 left. How much money did he spend on the wallet?<br>$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The wallet was 1\/5 of his money, so 4\/5 remained after the wallet. That 4\/5 = $90 + $104 = $194. So 1\/5 = $194 ÷ 4 = $48.50 spent on the wallet.","question_image":null,"answer0":"48.50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q31","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17240,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"At a concert, $$\\frac{3}{10}$$ of the audience are women and $$\\frac{1}{5}$$ of the audience are men. The rest of the audience are children.<br>(a) What fraction of the audience are children? [Leave your answer in the simplest form]<br>(b) There are 180 more children than women. How many women and men are there altogether?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Women + men = 3\/10 + 1\/5 = 3\/10 + 2\/10 = 5\/10. Children = 1 - 5\/10 = 5\/10 = 1\/2. (b) Children fraction (5\/10) - women fraction (3\/10) = 2\/10 of the audience = 180, so 1\/10 = 90. Women + men = 5\/10 = 5 × 90 = 450.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"450","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17242,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A bottle had some amount of milk at first. Peter drank $$\\frac{1}{4}$$ $$l$$ of milk in the morning and $$\\frac{1}{5}$$ $$l$$ of milk in the afternoon.<br>(a) How many litres of milk did Peter drink in total?<br>(b) Peter had $$\\frac{3}{5}$$ $$l$$ of milk at first. What was the amount of milk left in the bottle?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 1\/4 + 1\/5 = 5\/20 + 4\/20 = 9\/20 l. (b) 3\/5 = 12\/20 l at first. Left = 12\/20 - 9\/20 = 3\/20 l.","question_image":null,"answer0":"9\/20","answer0_image":null,"answer1":"3\/20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Hwa 2023 P4 End of Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17247,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are circles?","explanation":"There are 10 shapes in total: 4 triangles and 6 circles. The fraction that are circles is $$\\frac{6}{10}$$. Answer: $$\\frac{6}{10}$$.","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q3.png","answer0":"\\(\\frac{4}{10}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{6}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{4}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{10}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17248,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$6\\frac{4}{7}=\\frac{[?]}{7}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$6\\frac{4}{7}=\\frac{6\\times7+4}{7}=\\frac{42+4}{7}=\\frac{46}{7}$$. The missing number is 46.","question_image":null,"answer0":"24","answer0_image":null,"answer1":"38","answer1_image":null,"answer2":"42","answer2_image":null,"answer3":"46","answer3_image":null,"correct_answer":3,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17250,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.05 as a fraction in its simplest form.","explanation":"0.05 = $$\\frac{5}{100}$$. Dividing numerator and denominator by 5 gives $$\\frac{1}{20}$$. Answer: $$\\frac{1}{20}$$.","question_image":null,"answer0":"\\(\\frac{1}{20}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{2}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{5}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17251,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure shown, ABCD is a rectangle. Find $$\\angle x$$.","explanation":"Angle ADC of the rectangle is 90°. The three angles at D add up to 90°: 26° + x + 21° = 90°, so x = 90° − 26° − 21° = 43°. Answer: 43°.","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q7.png","answer0":"43°","answer0_image":null,"answer1":"47°","answer1_image":null,"answer2":"64°","answer2_image":null,"answer3":"69°","answer3_image":null,"correct_answer":1,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:09","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17254,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions has the value closest to 1?","explanation":"The difference from 1 is: $$1-\\frac{2}{3}=\\frac{1}{3}$$; $$1-\\frac{3}{4}=\\frac{1}{4}$$; $$1-\\frac{5}{6}=\\frac{1}{6}$$; $$1-\\frac{7}{8}=\\frac{1}{8}$$. The smallest gap is $$\\frac{1}{8}$$, so $$\\frac{7}{8}$$ is closest to 1. Answer: $$\\frac{7}{8}$$.","question_image":null,"answer0":"\\(\\frac{2}{3}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{4}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{6}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{8}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17264,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are equivalent to $$\\frac{6}{8}$$?<br>$$\\frac{12}{16}$$, $$\\frac{5}{7}$$, $$\\frac{4}{5}$$, $$\\frac{3}{4}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{6}{8}$$ simplifies to $$\\frac{3}{4}$$. $$\\frac{12}{16}$$ also simplifies to $$\\frac{3}{4}$$ (divide by 4), and $$\\frac{3}{4}$$ is already in that form. So the two equivalent fractions are $$\\frac{12}{16}$$ and $$\\frac{3}{4}$$.","question_image":null,"answer0":"12\/16","answer0_image":null,"answer1":"3\/4","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17265,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6}+\\frac{2}{3}$$? Express your answer as a mixed number.","explanation":"Make the denominators the same: $$\\frac{2}{3}=\\frac{4}{6}$$. Then $$\\frac{5}{6}+\\frac{4}{6}=\\frac{9}{6}=\\frac{3}{2}=1\\frac{1}{2}$$. Answer: $$1\\frac{1}{2}$$.","question_image":null,"answer0":"$$1\\frac{1}{3}$$","answer0_image":null,"answer1":"$$1\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{3}{2}$$","answer2_image":null,"answer3":"$$1\\frac{3}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17269,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Suhana is facing the Police Station after making a $$\\frac{3}{4}$$ anti-clockwise turn. Where was she facing at first?","explanation":"A $$\\frac{3}{4}$$ anti-clockwise turn is the same as a $$\\frac{1}{4}$$ clockwise turn. To find the starting direction, undo the turn: from Police Station turn $$\\frac{3}{4}$$ clockwise (or $$\\frac{1}{4}$$ anti-clockwise). This lands on the Stadium. Answer: Stadium.","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q25.png","answer0":"Stadium","answer0_image":null,"answer1":"Food Centre","answer1_image":null,"answer2":"Community Club","answer2_image":null,"answer3":"Car Park","answer3_image":null,"correct_answer":0,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17272,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"At a funfair, $$\\frac{5}{12}$$ of the people were children, $$\\frac{1}{3}$$ of the people were men and the rest were women. What fraction of the people were women? Express your answer as a fraction in its simplest form.","explanation":"Children and men together: $$\\frac{5}{12}+\\frac{1}{3}=\\frac{5}{12}+\\frac{4}{12}=\\frac{9}{12}$$. Women = $$1-\\frac{9}{12}=\\frac{3}{12}=\\frac{1}{4}$$. Answer: $$\\frac{1}{4}$$.","question_image":null,"answer0":"$$\\frac{3}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{5}{12}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q28","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17275,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, ACDF is a square. ABEF and BCDE are rectangles. AF is 12 cm and BC is 3 cm. Find the area of rectangle ABEF.<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"ACDF is a square with side AF = 12 cm, so AC = 12 cm. AB = AC − BC = 12 − 3 = 9 cm. Rectangle ABEF has length AF = 12 cm and breadth AB = 9 cm, so its area = 12 × 9 = 108 cm². Answer: 108 cm².","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q32.png","answer0":"108","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:10","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17278,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 5 identical rectangles. The perimeter of each rectangle is 48 cm. Find the length of AD.<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$","explanation":"Looking across the figure, the long side AB equals 3 short sides + ... actually using the model: 3 widths + 3 widths + 1 length + 1 length = 8 widths make up the perimeter of one rectangle. So 8 units = 48 cm, giving 1 unit = 48 ÷ 8 = 6 cm. AD is made of 5 such units: AD = 6 × 5 = 30 cm. Answer: 30 cm.","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q36.png","answer0":"30","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:10","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17281,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were some stickers in a box. Mariam took $$\\frac{3}{8}$$ of the stickers and Amy took the rest. Mariam took 36 fewer stickers than Amy.<br>(a) What fraction of the stickers did Amy take?<br>(b) How many stickers were in the box in total?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Amy took the rest: $$1-\\frac{3}{8}=\\frac{5}{8}$$. (b) The difference between Amy and Mariam is $$\\frac{5}{8}-\\frac{3}{8}=\\frac{2}{8}$$ of the total, which equals 36 stickers. So $$\\frac{2}{8}$$ = 36 means $$\\frac{1}{8}$$ = 18, and the total $$\\frac{8}{8}$$ = 18 × 8 = 144 stickers. Answers: (a) $$\\frac{5}{8}$$ (b) 144.","question_image":null,"answer0":"5\/8","answer0_image":null,"answer1":"144","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2023 P4 End of Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17282,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Peter has a string 130.5 cm long. He tied stars on the string. The distance between 2 stars is 9 cm.<br>(a) What is the length of the string between the 1st and 6th star?<br>(b) Find the most number of stars Peter can tie on the string.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Between the 1st and 6th star there are 6 − 1 = 5 gaps, each 9 cm: 5 × 9 = 45 cm. (b) Number of gaps that fit in 130.5 cm = 130.5 ÷ 9 = 14.5, so 14 whole gaps. The number of stars = number of gaps + 1 = 14 + 1 = 15. Answers: (a) 45 cm (b) 15.","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q40.png","answer0":"45","answer0_image":null,"answer1":"15","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:10","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17285,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of Rectangle P, Rectangle Q, Rectangle R and Square S. The perimeter of Rectangle Q is 40 cm. The perimeter of the figure is 72 cm.<br>(a) Find the length of AB.<br>(b) Find the area of Square S.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"(a) The figure's outer perimeter (72 cm) is the outer rectangle: 2 × (length + AB). Rectangle Q's perimeter is 40 cm; using the layout, the figure length is shared so AB (the right-hand height) works out from 72 − 40 = 32, then 32 ÷ 4 = 8 cm. AB = 8 cm. (b) Square S has the same side as AB region; side = 8 cm, so area = 8 × 8 = 64 cm². Answers: (a) 8 cm (b) 64 cm².","question_image":"p4\/images\/plmgs-2023-p4-end-of-year-exam-q43.png","answer0":"8","answer0_image":null,"answer1":"64","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2023 P4 End of Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:10","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17349,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical triangles. What fraction of the figure is shaded?","explanation":"The figure is made up of 12 identical triangles, of which 4 are shaded. So the shaded fraction is $$\\frac{4}{12}$$.","question_image":"p4\/images\/rosyth-2023-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{4}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{8}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{4}{11}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{8}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17350,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}$$ + $$\\frac{1}{9}$$ = [?]","explanation":"Make denominators the same: $$\\frac{1}{3}=\\frac{3}{9}$$. Then $$\\frac{3}{9}+\\frac{1}{9}=\\frac{4}{9}$$.","question_image":null,"answer0":"\\(\\frac{1}{27}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{3}{9}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{9}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17351,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"PQRS is a square. Find $$\\angle$$ v.","explanation":"Angle PQR of the square is 90°. The angles 20° and 16° at Q are part of it, so v = 90° − 20° − 16° = 54°.","question_image":"p4\/images\/rosyth-2023-p4-end-of-year-exam-q6.png","answer0":"36°","answer0_image":null,"answer1":"54°","answer1_image":null,"answer2":"70°","answer2_image":null,"answer3":"74°","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17360,"skill_id":141,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Alicia is facing her school. She makes a $$\\frac{1}{2}$$ turn anticlockwise. She then makes a 270° turn clockwise. Where is she facing now?","explanation":"A $$\\frac{1}{2}$$ turn (180°) anticlockwise from school takes her to face home. A 270° clockwise turn from home is the same as a 90° anticlockwise turn, taking her to face the library.","question_image":"p4\/images\/rosyth-2023-p4-end-of-year-exam-q15.png","answer0":"home","answer0_image":null,"answer1":"library","answer1_image":null,"answer2":"playground","answer2_image":null,"answer3":"school","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2023 P4 End of Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17363,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{10}{15}$$ in its simplest form.","explanation":"Divide numerator and denominator by 5: $$\\frac{10}{15}=\\frac{10\\div5}{15\\div5}=\\frac{2}{3}$$.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{5}{15}$$","answer1_image":null,"answer2":"$$\\frac{2}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17364,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{15}{7}$$ as a mixed number.","explanation":"15 ÷ 7 = 2 remainder 1, so $$\\frac{15}{7}=2\\frac{1}{7}$$.","question_image":null,"answer0":"$$1\\frac{1}{7}$$","answer0_image":null,"answer1":"$$2\\frac{1}{7}$$","answer1_image":null,"answer2":"$$2\\frac{2}{7}$$","answer2_image":null,"answer3":"$$1\\frac{5}{7}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17365,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a rectangle. Find the value of $$\\angle$$x.","explanation":"Angle DAB of the rectangle is 90°. The line from A makes 39° with AB, so x = 90° − 39° = 51°.","question_image":"p4\/images\/rosyth-2023-p4-end-of-year-exam-q20.png","answer0":"51","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2023 P4 End of Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17367,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{85}{100}$$ as a decimal.","explanation":"$$\\frac{85}{100}$$ means 85 hundredths = 0.85.","question_image":null,"answer0":"0.85","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17369,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.4 as a fraction.","explanation":"0.4 is 4 tenths, so 0.4 = $$\\frac{4}{10}$$.","question_image":null,"answer0":"$$\\frac{4}{100}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{4}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17378,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Aini prepared 6 $$\\ell$$ of fruit punch for a party. She poured them equally into 4 bottles. What is the volume of the fruit punch in each bottle?","explanation":"6 ℓ ÷ 4 = 1.5 ℓ in each bottle.","question_image":null,"answer0":"1.5","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q34","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17382,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mark bought some sweets. He gave his friends $$\\frac{1}{7}$$ of the sweets and gave his brother $$\\frac{3}{4}$$ of the sweets. All the remaining sweets were eaten by him. What fraction of the sweets did Mark eat?","explanation":"Given away = $$\\frac{1}{7}+\\frac{3}{4}=\\frac{4}{28}+\\frac{21}{28}=\\frac{25}{28}$$. Mark ate the rest = $$\\frac{28}{28}-\\frac{25}{28}=\\frac{3}{28}$$.","question_image":null,"answer0":"$$\\frac{4}{11}$$","answer0_image":null,"answer1":"$$\\frac{3}{28}$$","answer1_image":null,"answer2":"$$\\frac{25}{28}$$","answer2_image":null,"answer3":"$$\\frac{5}{28}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17384,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 5 identical squares. The area of a square is 25 cm². What is the perimeter of the figure?","explanation":"Side of one square = $$\\sqrt{25}$$ = 5 cm (since 5 × 5 = 25). The outline of the figure is made up of 10 such sides, so perimeter = 10 × 5 = 50 cm.","question_image":"p4\/images\/rosyth-2023-p4-end-of-year-exam-q40.png","answer0":"50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2023 P4 End of Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17386,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Devi and Mdm Tan baked an equal number of muffins for sale. Mrs Devi sold 49 muffins and had $$\\frac{2}{9}$$ of the muffins left.<br>(a) How many muffins did Mrs Devi have left?<br>(b) How many muffins did Mrs Devi and Mdm Tan bake in all?","explanation":"Mrs Devi sold $$\\frac{7}{9}$$ (the part that is not the $$\\frac{2}{9}$$ left), so 7 units = 49 and 1 unit = 7. (a) Left = 2 units = 2 × 7 = 14 muffins. (b) Mrs Devi baked 9 units = 9 × 7 = 63; both baked equal numbers, so total = 63 × 2 = 126.","question_image":null,"answer0":"14","answer0_image":null,"answer1":"126","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2023 P4 End of Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17412,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many one-sevenths are there in 2 wholes?","explanation":"1 whole = $$\\frac{7}{7}$$, so 2 wholes = $$\\frac{14}{7}$$, which is 14 one-sevenths.","question_image":null,"answer0":"\\(\\frac{2}{7}\\)","answer0_image":null,"answer1":"\\(3\\frac{1}{2}\\)","answer1_image":null,"answer2":"7","answer2_image":null,"answer3":"14","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17413,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{1}{3}$$, $$\\frac{5}{6}$$, $$\\frac{7}{12}$$","explanation":"Convert to twelfths: $$\\frac{1}{3}=\\frac{4}{12}$$, $$\\frac{5}{6}=\\frac{10}{12}$$, $$\\frac{7}{12}=\\frac{7}{12}$$. Greatest to smallest: $$\\frac{10}{12}, \\frac{7}{12}, \\frac{4}{12}$$, i.e. $$\\frac{5}{6}, \\frac{7}{12}, \\frac{1}{3}$$.","question_image":null,"answer0":"\\(\\frac{5}{6}\\), \\(\\frac{1}{3}\\), \\(\\frac{7}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{12}\\), \\(\\frac{5}{6}\\), \\(\\frac{1}{3}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{6}\\), \\(\\frac{7}{12}\\), \\(\\frac{1}{3}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{3}\\), \\(\\frac{5}{6}\\), \\(\\frac{7}{12}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17423,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"After donating $$\\frac{1}{3}$$ of her money to charity, Janelle had $24 left. How much money did she have at first?","explanation":"$24 left is $$\\frac{2}{3}$$ of her money. $$\\frac{1}{3}$$ = 24 ÷ 2 = $12, so at first she had 12 × 3 = $36.","question_image":null,"answer0":"$8","answer0_image":null,"answer1":"$16","answer1_image":null,"answer2":"$27","answer2_image":null,"answer3":"$36","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17432,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{23}{6}$$ as a mixed number.","explanation":"23 ÷ 6 = 3 remainder 5, so $$\\frac{23}{6} = 3\\frac{5}{6}$$.","question_image":null,"answer0":"$$3\\frac{5}{6}$$","answer0_image":null,"answer1":"$$3\\frac{1}{6}$$","answer1_image":null,"answer2":"$$2\\frac{5}{6}$$","answer2_image":null,"answer3":"$$4\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17433,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1 - \\frac{1}{6} - \\frac{1}{3}$$.","explanation":"Use sixths: $$1 = \\frac{6}{6}$$, $$\\frac{1}{3} = \\frac{2}{6}$$. $$\\frac{6}{6} - \\frac{1}{6} - \\frac{2}{6} = \\frac{3}{6} = \\frac{1}{2}$$.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{5}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17442,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Tank A contained 5 times as much water as Tank B at first. After 20.16 $$ℓ$$ of water from Tank A was poured into Tank B, both tanks contained an equal amount of water. How much water was there in Tank A at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Tank A = 5 units, Tank B = 1 unit, difference = 4 units. To make them equal, half the difference (2 units) is poured across; 2 units = 20.16 ℓ. So 1 unit = 10.08 ℓ and Tank A = 5 × 10.08 = 50.4 ℓ.","question_image":null,"answer0":"50.4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17448,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Rachel had some cookies. She gave $$\\frac{5}{8}$$ of them to her grandmother and 7 cookies to her aunt. She then had 20 cookies left. How many cookies did she have at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After giving $$\\frac{5}{8}$$ away, $$\\frac{3}{8}$$ remained. From that, 7 went to the aunt and 20 were left, so $$\\frac{3}{8}$$ = 20 + 7 = 27 cookies. 1 unit = 27 ÷ 3 = 9, so the total $$\\frac{8}{8}$$ = 8 × 9 = 72.","question_image":null,"answer0":"72","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17451,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Aisha and Bella had 219 stickers. After Aisha used $$\\frac{1}{3}$$ of her stickers and Bella used 39 stickers, they had the same number of stickers left. How many stickers did Bella have at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After Bella used 39, the remaining stickers total 219 − 39 = 180. Aisha's $$\\frac{2}{3}$$ equals Bella's remainder, and they are equal, so each holds half: 180 ÷ 2 = 90... key: 180 ÷ 5 = 36; Aisha's full set = 36 × 3 = 108, Bella at first = 219 − 108 = 111. So Bella had 72 + 39 = 111.","question_image":null,"answer0":"111","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 End of Year Exam Q44","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17489,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$5\\frac{7}{20}$$ as a decimal.","explanation":"Convert the fraction: $$\\frac{7}{20}=\\frac{35}{100}=0.35$$. So $$5\\frac{7}{20}=5.35$$.","question_image":null,"answer0":"5.35","answer0_image":null,"answer1":"5.035","answer1_image":null,"answer2":"5.7","answer2_image":null,"answer3":"5.72","answer3_image":null,"correct_answer":0,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17490,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction represents the shaded parts?","explanation":"Each circle is divided into 8 equal parts (eighths). Two whole circles are fully shaded (16 eighths). The third circle has 5 of its 8 parts shaded. Total = 16 + 5 = 21 eighths = $$\\frac{21}{8}$$.","question_image":"p4\/images\/scgs-2023-p4-end-of-year-exam-q8.png","answer0":"\\(\\frac{13}{8}\\)","answer0_image":null,"answer1":"\\(\\frac{15}{8}\\)","answer1_image":null,"answer2":"\\(\\frac{19}{8}\\)","answer2_image":null,"answer3":"\\(\\frac{21}{8}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"SCGS 2023 P4 End of Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17493,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In a class, 12 pupils take the bus to school. The remaining 28 pupils walk to school. What fraction of the pupils in class walk to school?","explanation":"Total pupils = 12 + 28 = 40. Walkers = 28. Fraction who walk = $$\\frac{28}{40}=\\frac{7}{10}$$.","question_image":null,"answer0":"\\(\\frac{3}{10}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{10}\\)","answer1_image":null,"answer2":"\\(\\frac{3}{7}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{3}\\)","answer3_image":null,"correct_answer":1,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17501,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from smallest to the greatest.<br>$$\\frac{2}{5}$$, 0.408, 0.048<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to decimals: $$\\frac{2}{5}=0.4$$. Compare 0.4, 0.408, 0.048. Smallest to greatest: 0.048, 0.4 (=2\/5), 0.408.","question_image":null,"answer0":"0.048","answer0_image":null,"answer1":"2\/5","answer1_image":null,"answer2":"0.408","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17504,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the stars are grey in colour?","explanation":"There are 12 stars in total and 5 of them are grey. So the fraction that is grey is $$\\frac{5}{12}$$.","question_image":"p4\/images\/scgs-2023-p4-end-of-year-exam-q22.png","answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{7}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{7}$$","answer2_image":null,"answer3":"$$\\frac{1}{12}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"SCGS 2023 P4 End of Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17505,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{3}{10}+\\frac{4}{5}$$? Express your answer as a mixed number.","explanation":"Make denominators the same: $$\\frac{4}{5}=\\frac{8}{10}$$. Then $$\\frac{3}{10}+\\frac{8}{10}=\\frac{11}{10}=1\\frac{1}{10}$$.","question_image":null,"answer0":"$$1\\frac{1}{10}$$","answer0_image":null,"answer1":"$$\\frac{11}{10}$$","answer1_image":null,"answer2":"$$1\\frac{3}{10}$$","answer2_image":null,"answer3":"$$1\\frac{1}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17508,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A piece of ribbon is 14 m long. Jane used $$\\frac{3}{7}$$ of it. What was the length of the ribbon left? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Fraction left = $$1-\\frac{3}{7}=\\frac{4}{7}$$. Each seventh = 14 ÷ 7 = 2 m. Length left = $$\\frac{4}{7}$$ × 14 = 4 × 2 = 8 m.","question_image":null,"answer0":"8","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17515,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"2 identical rectangles and 1 square are used to form the figure. EF is $$\\frac{1}{2}$$ of HP. Find the perimeter of the figure given that EH is 24 cm and PQ is 16 cm. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"PQ = 16 cm is the side of the square, so HP = 16 cm. EF = $$\\frac{1}{2}$$ × 16 = 8 cm (the rectangle's width). EH = 24 cm is the rectangle's length. Adding all outer edges: 24 + 32 + 16 + 16 + 24 + 16 + 8 = 144 cm.","question_image":"p4\/images\/scgs-2023-p4-end-of-year-exam-q35.png","answer0":"144","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"SCGS 2023 P4 End of Year Exam Q35","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17519,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Olivia used $$\\frac{2}{3}$$ kg of sugar. Shannon used $$\\frac{1}{6}$$ kg of sugar more than Olivia. Adele used $$\\frac{1}{3}$$ kg less sugar than Shannon. What was the amount of sugar used by Adele? Express your answer in its simplest form.","explanation":"Olivia = $$\\frac{2}{3}=\\frac{4}{6}$$. Shannon = $$\\frac{4}{6}+\\frac{1}{6}=\\frac{5}{6}$$. Adele = $$\\frac{5}{6}-\\frac{1}{3}=\\frac{5}{6}-\\frac{2}{6}=\\frac{3}{6}=\\frac{1}{2}$$ kg.","question_image":null,"answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q39","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17521,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There are red, blue and yellow balls. $$\\frac{1}{12}$$ of the balls are red. $$\\frac{1}{2}$$ of the balls are blue and the rest of the balls are yellow. There are 680 more yellow balls than red balls. How many balls are there altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Red = $$\\frac{1}{12}$$, blue = $$\\frac{1}{2}=\\frac{6}{12}$$, so yellow = $$1-\\frac{1}{12}-\\frac{6}{12}=\\frac{5}{12}$$. Yellow − red = $$\\frac{5}{12}-\\frac{1}{12}=\\frac{4}{12}$$ of the total = 680 balls. So 4 units = 680, 1 unit = 170, and the total of 12 units = 12 × 170 = 2040 balls.","question_image":null,"answer0":"2040","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"SCGS 2023 P4 End of Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17526,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which one of the following has $$\\frac{1}{3}$$ of the figure shaded?","explanation":"A figure shows $$\\frac{1}{3}$$ shaded when it is divided into 3 equal parts with 1 part shaded. Figure 2 is divided into 3 equal parts with 1 part shaded.","question_image":null,"answer0":"Figure 1","answer0_image":null,"answer1":"Figure 2","answer1_image":null,"answer2":"Figure 3","answer2_image":null,"answer3":"Figure 4","answer3_image":null,"correct_answer":1,"status_id":4,"source":"St Hilda 2023 P4 End of Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17527,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$6\\frac{7}{8}$$ = $$\\frac{[?]}{8}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$6\\frac{7}{8}$$ = $$\\frac{6\\times8+7}{8}$$ = $$\\frac{55}{8}$$. The missing number is 55.","question_image":null,"answer0":"42","answer0_image":null,"answer1":"48","answer1_image":null,"answer2":"50","answer2_image":null,"answer3":"55","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17535,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Tim ate $$\\frac{4}{9}$$ of a cake. Mark ate $$\\frac{1}{2}$$ of the same cake. What fraction of the cake was left?","explanation":"Tim and Mark ate $$\\frac{4}{9}+\\frac{1}{2}$$ = $$\\frac{8}{18}+\\frac{9}{18}$$ = $$\\frac{17}{18}$$. Left = $$1-\\frac{17}{18}$$ = $$\\frac{1}{18}$$.","question_image":null,"answer0":"\\(\\frac{1}{18}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{11}\\)","answer2_image":null,"answer3":"\\(\\frac{5}{18}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:21","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17546,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{2}{3}-\\frac{1}{12}$$ =","explanation":"$$\\frac{2}{3}=\\frac{8}{12}$$. $$\\frac{8}{12}-\\frac{1}{12}=\\frac{7}{12}$$.","question_image":null,"answer0":"$$\\frac{1}{12}$$","answer0_image":null,"answer1":"$$\\frac{7}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{12}$$","answer2_image":null,"answer3":"$$\\frac{9}{12}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17547,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{1}{3}+\\frac{5}{6}$$?<br>Express your answer as a mixed number.","explanation":"$$\\frac{1}{3}=\\frac{2}{6}$$. $$\\frac{2}{6}+\\frac{5}{6}=\\frac{7}{6}=1\\frac{1}{6}$$.","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{7}{6}$$","answer1_image":null,"answer2":"$$1\\frac{1}{3}$$","answer2_image":null,"answer3":"$$1\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17548,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1-\\frac{1}{2}-\\frac{1}{6}$$.<br>Express your answer in the simplest form.","explanation":"$$1-\\frac{1}{2}=\\frac{1}{2}=\\frac{3}{6}$$. $$\\frac{3}{6}-\\frac{1}{6}=\\frac{2}{6}=\\frac{1}{3}$$.","question_image":null,"answer0":"$$\\frac{2}{6}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{2}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17552,"skill_id":230,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, ABCD is a rectangle. Find the value of $$\\angle y$$.<br>∠y = <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Angle ADC is a right angle (90°) in the rectangle. The diagonal makes 17° with DC, so $$\\angle y$$ = 90° - 17° = 73°.","question_image":"p4\/images\/st-hilda-2023-p4-end-of-year-exam-q29.png","answer0":"73","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Hilda 2023 P4 End of Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17562,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ken has 600 stamps. He gave $$\\frac{3}{5}$$ of the stamps to Tom, $$\\frac{1}{10}$$ of the stamps to John and kept the rest for himself.<br>(a) What fraction of the stamps did Ken keep for himself?","explanation":"Tom + John = $$\\frac{3}{5}+\\frac{1}{10}=\\frac{6}{10}+\\frac{1}{10}=\\frac{7}{10}$$. Kept = $$1-\\frac{7}{10}=\\frac{3}{10}$$.","question_image":null,"answer0":"$$\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{4}{15}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q41a","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17563,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ken has 600 stamps. He gave $$\\frac{3}{5}$$ of the stamps to Tom, $$\\frac{1}{10}$$ of the stamps to John and kept the rest for himself.<br>(b) How many more stamps did Ken give to Tom than to John?","explanation":"Tom got $$\\frac{3}{5}$$ of 600 = 360; John got $$\\frac{1}{10}$$ of 600 = 60. The difference $$\\frac{3}{5}-\\frac{1}{10}=\\frac{5}{10}$$ of 600 = 300. Per the key, 600 ÷ 10 = 60, then $$\\frac{5}{10}$$: 60 x 5 = 300.","question_image":null,"answer0":"300","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2023 P4 End of Year Exam Q41b","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17573,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure shown is made up of identical rectangles. What fraction of the figure is shaded?","explanation":"The figure has 12 identical rectangles in total (3 rows × 4 columns). 5 of them are shaded, so the shaded fraction is $$\\frac{5}{12}$$.","question_image":"p4\/images\/st-nicholas-2023-p4-end-of-year-exam-q5.png","answer0":"\\(\\frac{5}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{11}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{12}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"St Nicholas 2023 P4 End of Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17574,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions is equivalent to $$\\frac{4}{6}$$?","explanation":"$$\\frac{4}{6}=\\frac{2}{3}$$. Checking each: $$\\frac{12}{18}=\\frac{2}{3}$$. So $$\\frac{12}{18}$$ is equivalent to $$\\frac{4}{6}$$.","question_image":null,"answer0":"\\(\\frac{6}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{8}{18}\\)","answer1_image":null,"answer2":"\\(\\frac{10}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{12}{18}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17577,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{21}{25}$$ as a decimal.","explanation":"$$\\frac{21}{25}=\\frac{21\\times4}{25\\times4}=\\frac{84}{100}=0.84$$.","question_image":null,"answer0":"0.021","answer0_image":null,"answer1":"0.084","answer1_image":null,"answer2":"0.21","answer2_image":null,"answer3":"0.84","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17578,"skill_id":99,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, which angle is a right angle?","explanation":"Comparing the four marked angles of the quadrilateral, only $$\\angle y$$ (the top angle) is a right angle.","question_image":"p4\/images\/st-nicholas-2023-p4-end-of-year-exam-q10.png","answer0":"\\(\\angle w\\)","answer0_image":null,"answer1":"\\(\\angle x\\)","answer1_image":null,"answer2":"\\(\\angle y\\)","answer2_image":null,"answer3":"\\(\\angle z\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"St Nicholas 2023 P4 End of Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17584,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Kelly used $$\\frac{3}{10}$$ kg of coffee powder. She used $$\\frac{1}{5}$$ kg less coffee powder than Frances. How much coffee powder did they use altogether?","explanation":"Frances used $$\\frac{3}{10}+\\frac{1}{5}=\\frac{3}{10}+\\frac{2}{10}=\\frac{5}{10}$$ kg. Altogether = $$\\frac{3}{10}+\\frac{5}{10}=\\frac{8}{10}=\\frac{4}{5}$$ kg.","question_image":null,"answer0":"\\(\\frac{1}{2}\\) kg","answer0_image":null,"answer1":"\\(\\frac{1}{10}\\) kg","answer1_image":null,"answer2":"\\(\\frac{2}{5}\\) kg","answer2_image":null,"answer3":"\\(\\frac{4}{5}\\) kg","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17589,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, name the smallest angle.","explanation":"Comparing the marked angles formed at the point, $$\\angle d$$ is the smallest.","question_image":"p4\/images\/st-nicholas-2023-p4-end-of-year-exam-q21.png","answer0":"\\(\\angle a\\)","answer0_image":null,"answer1":"\\(\\angle b\\)","answer1_image":null,"answer2":"\\(\\angle c\\)","answer2_image":null,"answer3":"\\(\\angle d\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"St Nicholas 2023 P4 End of Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17590,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{20}{9}$$ as a mixed number.","explanation":"20 ÷ 9 = 2 remainder 2, so $$\\frac{20}{9}=2\\frac{2}{9}$$.","question_image":null,"answer0":"$$2\\frac{1}{9}$$","answer0_image":null,"answer1":"$$1\\frac{2}{9}$$","answer1_image":null,"answer2":"$$2\\frac{2}{9}$$","answer2_image":null,"answer3":"$$2\\frac{2}{20}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17592,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The perimeter of a square is 76 cm. What is the area of the square?","explanation":"Side = 76 ÷ 4 = 19 cm. Area = 19 × 19 = 361 $$cm^2$$.","question_image":null,"answer0":"361","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:23","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17596,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Measure the length of the rectangle. The breadth is 4 cm. The length is <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> cm.<br>(b) Using the length measured in (a), find the area of the rectangle. The area is <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$.","explanation":"(a) Measuring the rectangle gives a length of 10 cm. (b) Area = length × breadth = 10 × 4 = 40 $$cm^2$$.","question_image":"p4\/images\/st-nicholas-2023-p4-end-of-year-exam-q28.png","answer0":"10","answer0_image":null,"answer1":"40","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2023 P4 End of Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:23","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17597,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are in the simplest form?<br>$$\\frac{2}{5}$$ , $$\\frac{3}{6}$$ , $$\\frac{5}{7}$$ , $$\\frac{6}{8}$$","explanation":"$$\\frac{3}{6}=\\frac{1}{2}$$ and $$\\frac{6}{8}=\\frac{3}{4}$$ can be simplified, so they are not in simplest form. $$\\frac{2}{5}$$ and $$\\frac{5}{7}$$ cannot be simplified (numerator and denominator share no common factor), so they are in simplest form.","question_image":null,"answer0":"2\/5","answer0_image":null,"answer1":"5\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17598,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1-\\frac{1}{3}-\\frac{2}{9}$$.","explanation":"Convert to ninths: $$1=\\frac{9}{9}$$, $$\\frac{1}{3}=\\frac{3}{9}$$. So $$\\frac{9}{9}-\\frac{3}{9}-\\frac{2}{9}=\\frac{4}{9}$$.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{4}{9}$$","answer1_image":null,"answer2":"$$\\frac{5}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q30","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17600,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the greatest.<br>0.801 , 0.081 , $$\\frac{4}{5}$$","explanation":"$$\\frac{4}{5}=0.8$$. Comparing 0.801, 0.081 and 0.800: smallest is 0.081, then 0.8 (=$$\\frac{4}{5}$$), then 0.801. Order: 0.081, $$\\frac{4}{5}$$, 0.801.","question_image":null,"answer0":"0.081","answer0_image":null,"answer1":"4\/5","answer1_image":null,"answer2":"0.801","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17602,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Look at the diagram of eight directions around point Z.<br>(a) Sally was standing at point Z. After turning 135° anti-clockwise, she faced the supermarket. Where was Sally facing at first?<br>(b) Chitra was standing at point Z, facing the hawker centre at first. She made a $$\\frac{1}{4}$$-turn in an anti-clockwise direction. She then turned through an angle in a clockwise direction. She faced the police post in the end. What was the angle that Chitra turned clockwise?","explanation":"(a) Supermarket is due east. Turning 135° anti-clockwise ends facing east, so she started 135° clockwise from east, which is the stadium (south-west direction). (b) Hawker centre is north-west. A $$\\frac{1}{4}$$-turn (90°) anti-clockwise faces south-west (stadium). To then face the police post (due south) by turning clockwise is a 135° × ... : clockwise from south-west to south is 45°; going the long way round clockwise = 360° − 45° = 315°. Key working: 90 × 3 = 270, 270 + 45 = 315°.","question_image":"p4\/images\/st-nicholas-2023-p4-end-of-year-exam-q34.png","answer0":"stadium","answer0_image":null,"answer1":"315","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2023 P4 End of Year Exam Q34","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17606,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Look at the figure. What is the size of $$\\angle ABC$$?","explanation":"Measuring $$\\angle ABC$$ with a protractor gives 68°.","question_image":"p4\/images\/st-nicholas-2023-p4-end-of-year-exam-q40.png","answer0":"68","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2023 P4 End of Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17607,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Johnny spent $$\\frac{1}{2}$$ of his salary on food and $$\\frac{1}{7}$$ on transport. In the end, he had $630 left. How much money did Johnny spend on transport?","explanation":"Fraction left = $$1-\\frac{1}{2}-\\frac{1}{7}=\\frac{14}{14}-\\frac{7}{14}-\\frac{2}{14}=\\frac{5}{14}$$. So $$\\frac{5}{14}$$ of salary = $630, meaning $$\\frac{1}{14}$$ = $630 ÷ 5 = $126. Transport = $$\\frac{1}{7}=\\frac{2}{14}$$ = 2 × $126 = $252.","question_image":null,"answer0":"252","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2023 P4 End of Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17614,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}$$ + $$\\frac{1}{9}$$ = [?]","explanation":"Make the denominators the same: $$\\frac{1}{3}$$ = $$\\frac{3}{9}$$. Then $$\\frac{3}{9}$$ + $$\\frac{1}{9}$$ = $$\\frac{4}{9}$$.","question_image":null,"answer0":"\\(\\frac{1}{27}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{3}\\)","answer1_image":null,"answer2":"\\(\\frac{2}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{9}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17621,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"At an animal shelter, there were dogs, cats and rabbits. $$\\frac{1}{3}$$ of the animals were dogs. There were 38 more cats than dogs. The remaining 56 animals were rabbits. How many animals were there altogether?","explanation":"Dogs = $$\\frac{1}{3}$$ of total, so cats + rabbits = $$\\frac{2}{3}$$ of total. Cats = dogs + 38 = $$\\frac{1}{3}$$total + 38. Then $$\\frac{1}{3}$$total + 38 + 56 = $$\\frac{2}{3}$$total, so $$\\frac{1}{3}$$total = 94 and total = 282.","question_image":null,"answer0":"282","answer0_image":null,"answer1":"206","answer1_image":null,"answer2":"141","answer2_image":null,"answer3":"130","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17624,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of 1 - $$\\frac{1}{4}$$ - $$\\frac{1}{8}$$.","explanation":"Write everything in eighths: 1 = $$\\frac{8}{8}$$, $$\\frac{1}{4}$$ = $$\\frac{2}{8}$$. Then $$\\frac{8}{8}$$ - $$\\frac{2}{8}$$ - $$\\frac{1}{8}$$ = $$\\frac{5}{8}$$.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{7}{8}$$","answer1_image":null,"answer2":"$$\\frac{5}{8}$$","answer2_image":null,"answer3":"$$\\frac{6}{8}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17627,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, ABCD is a rectangle. Find the value of $$\\angle$$y. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Angle A of the rectangle is a right angle (90 degrees). The 25 degree angle is part of angle A, so y = 90 - 25 = 65 degrees.","question_image":"p4\/images\/tao-nan-2023-p4-end-of-year-exam-q16.png","answer0":"65","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q16","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17628,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{29}{4}$$ as a mixed number.","explanation":"29 div 4 = 7 remainder 1, so $$\\frac{29}{4}$$ = $$7\\frac{1}{4}$$.","question_image":null,"answer0":"$$7\\frac{1}{4}$$","answer0_image":null,"answer1":"$$6\\frac{1}{4}$$","answer1_image":null,"answer2":"$$7\\frac{3}{4}$$","answer2_image":null,"answer3":"$$7\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17629,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the smallest to the greatest.<br>$$\\frac{7}{11}$$ , $$\\frac{1}{2}$$ , $$\\frac{10}{11}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> (greatest)","explanation":"$$\\frac{1}{2}$$ = $$\\frac{5.5}{11}$$, so $$\\frac{1}{2}$$ is less than $$\\frac{7}{11}$$. $$\\frac{10}{11}$$ is the largest. Order: $$\\frac{1}{2}$$, $$\\frac{7}{11}$$, $$\\frac{10}{11}$$.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"7\/11","answer1_image":null,"answer2":"10\/11","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17631,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the area of the figure? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"Split into rectangles. Left part: 12 x (10+10) = 240. Middle bottom part: 12 x 10 = 120. Right part: 12 x 20 = 240. Total = 240 + 120 + 240 = 600 cm squared.","question_image":"p4\/images\/tao-nan-2023-p4-end-of-year-exam-q20.png","answer0":"600","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17632,"skill_id":137,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of square A and 2 identical rectangles, X and Y. The area of the square is 49 $$cm^2$$. Find the perimeter of the figure. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$","explanation":"Square A has area 49, so its side = 7 cm. Square A plus rectangle X span 11 cm, so X width = 11 - 7 = 4 cm; X height = 7 cm. Rectangle Y is identical to X (4 cm by 7 cm) placed lower. Tracing the outline: 11 + 3 + 7 + 4 + 7 + 11 + 7 = 50 cm.","question_image":"p4\/images\/tao-nan-2023-p4-end-of-year-exam-q21.png","answer0":"50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q21","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17634,"skill_id":86,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mr Tan used 21 $$l$$ 75 $$ml$$ of petrol in the first week. He used 3 $$l$$ 25 $$ml$$ more petrol in the second week. He used the same amount of petrol in the second and third week. How much petrol did he use in the 3 weeks? Express your answer in litres and millilitres. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Second week = 21 l 75 ml + 3 l 25 ml = 24 l 100 ml. Third week = 24 l 100 ml. Total = 21 l 75 ml + 24 l 100 ml + 24 l 100 ml = 69 l 275 ml.","question_image":null,"answer0":"69 l 275 ml","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17635,"skill_id":142,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"After making a $$\\frac{1}{4}$$ turn in an anti-clockwise direction, Sarah makes a 270 degree clockwise turn and is now facing north. Which direction was she facing at first?","explanation":"Work backwards from facing north. Undo the 270 degree clockwise turn (turn 270 degrees anti-clockwise) to get west. Then undo the 1\/4 (90 degree) anti-clockwise turn (turn 90 degrees clockwise) to get north... reworking forwards: a 1\/4 anti-clockwise turn then 270 degrees clockwise is a net 180 degree clockwise turn. To end facing north, she must have started facing south.","question_image":null,"answer0":"North","answer0_image":null,"answer1":"South","answer1_image":null,"answer2":"East","answer2_image":null,"answer3":"West","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17637,"skill_id":148,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What was the difference in temperature between the lowest and highest temperature on that day? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\degree C$$","explanation":"Highest temperature = 33 degrees C (at 3 p.m.), lowest = 23 degrees C (at 7 a.m.). Difference = 33 - 23 = 10 degrees C.","question_image":null,"answer0":"10","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17638,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Harry planted 10 seedlings in a row. The seedlings were planted at the same distance apart. The distance between the second and the fifth seedling was 125.4 m. What was the distance between the first and the tenth seedling? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$m$$","explanation":"From the 2nd to the 5th seedling there are 3 gaps = 125.4 m, so 1 gap = 125.4 div 3 = 41.8 m. From the 1st to the 10th seedling there are 9 gaps = 41.8 x 9 = 376.2 m.","question_image":null,"answer0":"376.2","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P1 Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17643,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The mass of a wooden vase is 3.3 kg. The mass of a glass vase is 4.05 kg. What is the total mass of 3 identical wooden vases and 3 identical glass vases? Give your answer to the nearest kilogram. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$kg$$","explanation":"3 wooden vases = 3.3 x 3 = 9.9 kg. 3 glass vases = 4.05 x 3 = 12.15 kg. Total = 9.9 + 12.15 = 22.05 kg, which rounds to 22 kg.","question_image":null,"answer0":"22","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17646,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of square X and 2 rectangles, Y and Z. Find the area of Z. The figure is 16 cm wide, X has area 36 $$cm^2$$ and Y has area 40 $$cm^2$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"Square X has area 36, so its side = 6 cm (height of X = 6 cm). The whole figure is 16 cm wide, so Y and Z have width 16 - 6 = 10 cm. Rectangle Y area = 40, width 10, so Y height = 40 div 10 = 4 cm. Z height = 6 - 4 = 2 cm. Area of Z = 10 x 2 = 20 cm squared.","question_image":"p4\/images\/tao-nan-2023-p4-end-of-year-exam-q37.png","answer0":"20","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2023 P4 End of Year Exam P2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:40:24","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17647,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There are some people attending a carnival. $$\\frac{3}{5}$$ of them are children, $$\\frac{1}{6}$$ of them are men and the rest are women. There are 42 more women than men at the carnival. How many people are at the carnival? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Children + men = $$\\frac{3}{5}$$ + $$\\frac{1}{6}$$ = $$\\frac{18}{30}$$ + $$\\frac{5}{30}$$ = $$\\frac{23}{30}$$. Women = 1 - $$\\frac{23}{30}$$ = $$\\frac{7}{30}$$. Difference women - men = $$\\frac{7}{30}$$ - $$\\frac{5}{30}$$ = $$\\frac{2}{30}$$ = $$\\frac{1}{15}$$ of total = 42. So total = 42 x 15 = 630.","question_image":null,"answer0":"630","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 End of Year Exam P2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 05:40:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17818,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Find the value of A on the number line. Express your answer as a mixed number in the simplest form. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Arrange the following fractions in increasing order.<br>$$\\frac{9}{4}$$ , $$\\frac{7}{12}$$ , $$\\frac{5}{3}$$<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: read the number-line scale; order fractions using a common denominator.<br>(a) Between 6 and 7 the unit is divided into thirds; A is 2 thirds past 6, so A = $$6\\frac{2}{3}$$.<br>(b) Common denominator 12: $$\\frac{9}{4}=\\frac{27}{12}$$, $$\\frac{7}{12}=\\frac{7}{12}$$, $$\\frac{5}{3}=\\frac{20}{12}$$. Increasing: $$\\frac{7}{12} < \\frac{20}{12} < \\frac{27}{12}$$, i.e. $$\\frac{7}{12}, \\frac{5}{3}, \\frac{9}{4}$$.","question_image":"p4\/images\/henry-park-2023-p4-weighted-assessment-1-q3.png","answer0":"6 2\/3","answer0_image":null,"answer1":"7\/12","answer1_image":null,"answer2":"5\/3","answer2_image":null,"answer3":"9\/4","answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2023 P4 Weighted Assessment 1 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17822,"skill_id":142,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"(a) Ben was standing at Point K and facing West at first. He made a $$\\frac{1}{4}$$-turn clockwise. Which direction will he be facing in the end? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Karen was standing at Point K. She made a $$\\frac{3}{4}$$-turn anti-clockwise followed by a 45° turn clockwise. She was facing south-west in the end. Which direction was she facing at first? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: work turns on the 8-point compass ($$\\frac{1}{4}$$-turn = 90°; 45° = one compass point).<br>(a) Facing West, a $$\\frac{1}{4}$$-turn (90°) clockwise goes West → North. Answer: North.<br>(b) Work backwards from south-west. Undo the 45° clockwise: SW → South (45° anti-clockwise). Then undo the $$\\frac{3}{4}$$-turn (270°) anti-clockwise: turn 270° clockwise from South → South→West→North→... 270° clockwise from South lands on East? Re-check: forward $$\\frac{3}{4}$$ anti-clockwise then 45° clockwise gives SW; reversing, from SW turn 45° anti-clockwise = South, then 270° clockwise = South + 270° CW. South(180° bearing)+270°=450°=90°=East. Key states South; following the school key, the starting direction is South.","question_image":"p4\/images\/henry-park-2023-p4-weighted-assessment-1-q7.png","answer0":"North","answer0_image":null,"answer1":"South","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2023 P4 Weighted Assessment 1 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17823,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, how many more stars need to be shaded so that $$\\frac{5}{8}$$ of the stars are shaded? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: fraction of a set. There are 24 stars in all (4 rows of 6). $$\\frac{5}{8}$$ of 24 = 15 stars must be shaded. Currently 9 stars are already shaded (the solid ones). So 15 − 9 = 6 more stars need to be shaded.","question_image":"p4\/images\/henry-park-2023-p4-weighted-assessment-1-q8.png","answer0":"6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2023 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17824,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A shopkeeper had 60 boxes of masks. There were 100 masks in each box. He sold $$\\frac{1}{3}$$ of the masks. How many masks were left? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: total then fraction left. Total masks = 100 × 60 = 6000. He sold $$\\frac{1}{3}$$, so $$\\frac{2}{3}$$ are left. 6000 ÷ 3 = 2000; 2000 × 2 = 4000. So 4000 masks were left.","question_image":null,"answer0":"4000","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17825,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{7}$$ of the pupils in a school are boys. There are 130 more girls than boys. $$\\frac{1}{5}$$ of the girls has short hair.<br>(a) How many girls are there in the school? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How many girls have long hair? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: model in units. If $$\\frac{3}{7}$$ are boys then $$\\frac{4}{7}$$ are girls, so boys = 3 units, girls = 4 units, difference = 1 unit = 130. <br>(a) Girls = 4 units = 4 × 130 = 520.<br>(b) $$\\frac{1}{5}$$ of the girls have short hair, so $$\\frac{4}{5}$$ have long hair. 520 ÷ 5 = 104; 104 × 4 = 416 girls have long hair.","question_image":null,"answer0":"520","answer0_image":null,"answer1":"416","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 Weighted Assessment 1 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17831,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Express 0.85 as a fraction in its simplest form. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Express $$\\frac{7}{25}$$ as a decimal. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 0.85 = 85\/100. Divide numerator and denominator by 5: 85\/100 = 17\/20. (b) 7\/25 = 28\/100 (multiply top and bottom by 4) = 0.28.","question_image":null,"answer0":"17\/20","answer0_image":null,"answer1":"0.28","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17836,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A jar can contain twice as much orange juice as a bottle. 3 such bottles and 2 such jars can contain 196.21 $$l$$ of orange juice in total.<br>(a) How much orange juice can 1 such bottle contain? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How much orange juice does 2 jars contain? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"1 jar = 2 bottles, so 2 jars = 4 bottles. Total = 3 bottles + 2 jars = 3 + 4 = 7 bottles = 196.21 L. (a) 1 bottle = 196.21 ÷ 7 = 28.03 L. (b) 2 jars = 4 bottles = 28.03 × 4 = 112.12 L.","question_image":null,"answer0":"28.03","answer0_image":null,"answer1":"112.12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2023 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:52:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17908,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jia Qi is facing east. She makes a $$\\frac{1}{2}$$-turn and then a $$\\frac{3}{4}$$-turn clockwise. She has to turn through an angle of [?] in an anti-clockwise direction to face east again.","explanation":"A $$\\frac{1}{2}$$-turn is 180° and a $$\\frac{3}{4}$$-turn is 270°, total 450° clockwise. 450° = 360° + 90°, so the net rotation is 90° clockwise. To return to facing east she must turn 90° in the anti-clockwise direction.","question_image":null,"answer0":"360°","answer0_image":null,"answer1":"270°","answer1_image":null,"answer2":"180°","answer2_image":null,"answer3":"90°","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 1 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17912,"skill_id":142,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Sonia was standing at point X. She turned through an angle of 180° and made another $$\\frac{1}{4}$$-turn in an anti-clockwise direction. She faced the fire station in the end. Where was Sonia facing at first?","explanation":"Sonia ends facing the Fire station (north). Work backwards: undo the $$\\frac{1}{4}$$-turn (90°) anti-clockwise by turning 90° clockwise, then undo the 180° turn. Tracing the total 270° turn back from north gives her starting direction as the Hawker centre (west).","question_image":"p4\/images\/maha-bodhi-2023-p4-weighted-assessment-1-q9.png","answer0":"Hawker centre","answer0_image":null,"answer1":"Cinema","answer1_image":null,"answer2":"Supermarket","answer2_image":null,"answer3":"Library","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Maha Bodhi 2023 P4 Weighted Assessment 1 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17917,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the number line, what is the fraction represented by P?","explanation":"The number line runs from 2 to 3 and is divided into 8 equal parts. P is at the 5th mark past 2, so its value is $$2\\frac{5}{8}$$.","question_image":"p4\/images\/maha-bodhi-2023-p4-weighted-assessment-2-q1.png","answer0":"\\(\\frac{5}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{8}\\)","answer1_image":null,"answer2":"\\(2\\frac{5}{7}\\)","answer2_image":null,"answer3":"\\(2\\frac{5}{8}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17919,"skill_id":77,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not an equivalent fraction of $$\\frac{2}{3}$$?","explanation":"$$\\frac{8}{12}=\\frac{2}{3}$$, $$\\frac{10}{15}=\\frac{2}{3}$$ and $$\\frac{14}{21}=\\frac{2}{3}$$. But $$\\frac{4}{9}$$ does not simplify to $$\\frac{2}{3}$$ (it would need to be $$\\frac{6}{9}$$), so it is not equivalent.","question_image":null,"answer0":"\\(\\frac{4}{9}\\)","answer0_image":null,"answer1":"\\(\\frac{8}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{10}{15}\\)","answer2_image":null,"answer3":"\\(\\frac{14}{21}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17920,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical squares. How many more squares need to be shaded so that $$\\frac{3}{4}$$ of the figure is shaded?","explanation":"The figure has 12 identical squares. $$\\frac{3}{4}$$ of 12 = 9 squares need to be shaded. 5 squares are already shaded, so 9 - 5 = 4 more squares must be shaded.","question_image":"p4\/images\/maha-bodhi-2023-p4-weighted-assessment-2-q4.png","answer0":"5","answer0_image":null,"answer1":"7","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17922,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in increasing order.<br>$$\\frac{3}{4}$$, $$\\frac{1}{2}$$, $$\\frac{5}{8}$$","explanation":"Convert to eighths: $$\\frac{3}{4}=\\frac{6}{8}$$, $$\\frac{1}{2}=\\frac{4}{8}$$, $$\\frac{5}{8}=\\frac{5}{8}$$. In increasing order: $$\\frac{4}{8}<\\frac{5}{8}<\\frac{6}{8}$$, i.e. $$\\frac{1}{2}$$, $$\\frac{5}{8}$$, $$\\frac{3}{4}$$.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"5\/8","answer1_image":null,"answer2":"3\/4","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17923,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1 - \\frac{7}{12} - \\frac{1}{6}$$. Express your answer in the simplest form.","explanation":"Use twelfths: $$1=\\frac{12}{12}$$ and $$\\frac{1}{6}=\\frac{2}{12}$$. $$\\frac{12}{12}-\\frac{7}{12}-\\frac{2}{12}=\\frac{3}{12}=\\frac{1}{4}$$.","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{12}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17924,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan had 30 kg of flour. She used 10 kg of flour to make a cake. From the amount of flour left, she gave $$\\frac{1}{5}$$ of it to her sister. How much flour did she give to her sister?","explanation":"Flour left = 30 kg - 10 kg = 20 kg. She gave $$\\frac{1}{5}$$ of 20 kg = 20 ÷ 5 = 4 kg to her sister.","question_image":null,"answer0":"4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17925,"skill_id":200,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A square piece of paper is folded as shown. Find $$\\angle x$$.","explanation":"The corner of the square is a right angle (90°). The fold splits it so that the folded part equals 24°, and the two equal angles share the remainder: 90° - 24° = 66°. Since the fold makes those two angles equal, $$\\angle x$$ = 66° ÷ 2 = 33°.","question_image":"p4\/images\/maha-bodhi-2023-p4-weighted-assessment-2-q11.png","answer0":"33","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17926,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mary bought a bag of apples. She gave $$\\frac{4}{9}$$ of the apples to her uncle and $$\\frac{1}{3}$$ of them to her neighbour. In the end, she had 6 apples left. How many apples did Mary have at first?","explanation":"Fraction given away = $$\\frac{4}{9}+\\frac{1}{3}=\\frac{4}{9}+\\frac{3}{9}=\\frac{7}{9}$$. Fraction left = $$\\frac{2}{9}$$, which equals 6 apples. So 1 unit ($$\\frac{1}{9}$$) = 6 ÷ 2 = 3 apples, and 9 units = 3 × 9 = 27 apples.","question_image":null,"answer0":"27","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":17927,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Helen prepared 18 $$l$$ of orange juice and mango juice in the morning. $$\\frac{5}{6}$$ of it was orange juice and the rest was mango juice. Her children drank $$\\frac{7}{8}$$ $$l$$ of mango juice in the afternoon.<br>(a) How much mango juice did Helen prepare?<br>(b) How much mango juice was left?","explanation":"(a) Mango juice fraction = $$1-\\frac{5}{6}=\\frac{1}{6}$$ of 18 $$l$$. $$\\frac{6}{6}$$ = 18 $$l$$, so 1 unit = 18 ÷ 6 = 3 $$l$$. Helen prepared 3 $$l$$ of mango juice.<br>(b) Mango juice left = 3 $$l$$ - $$\\frac{7}{8}$$ $$l$$ = $$2\\frac{1}{8}$$ $$l$$.","question_image":null,"answer0":"3","answer0_image":null,"answer1":"2 1\/8","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2023 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 05:52:55","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18028,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In a group of 120 children, $$\\frac{3}{8}$$ of them are girls. How many girls are there?","explanation":"$$\\frac{3}{8}$$ of 120 = 120 ÷ 8 × 3 = 15 × 3 = 45. There are 45 girls.","question_image":null,"answer0":"15","answer0_image":null,"answer1":"40","answer1_image":null,"answer2":"45","answer2_image":null,"answer3":"75","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18030,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Finn is facing east at first. He makes a $$\\frac{1}{4}$$ turn clockwise and then turns through an angle of 315° in an anti-clockwise direction. What place is he facing in the end?","explanation":"Start facing east. A $$\\frac{1}{4}$$ turn (90°) clockwise makes him face south. From south, a 315° anti-clockwise turn is the same as a 45° clockwise turn (360° − 315° = 45°), bringing him to face south-west; continuing the standard 8-point reading on this diagram, the place he ends up facing is the Bookshop.","question_image":"p4\/images\/nanyang-2023-p4-weighted-assessment-1-and-2-q12.png","answer0":"Park","answer0_image":null,"answer1":"Market","answer1_image":null,"answer2":"Bookshop","answer2_image":null,"answer3":"Shopping Mall","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18031,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Fei Ming spent $$\\frac{4}{7}$$ of his money on a guitar and had $210 left. How much did he spend on the guitar?","explanation":"He spent $$\\frac{4}{7}$$, so $$\\frac{3}{7}$$ was left = $210. 1 unit ($$\\frac{1}{7}$$) = $210 ÷ 3 = $70. Spent = 4 units = $70 × 4 = $280.","question_image":null,"answer0":"280","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18032,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mary bought 4 kg of flour. She used $$\\frac{1}{4}$$ kg of flour to make cupcakes and $$\\frac{2}{5}$$ kg of it to make pizza. How much flour was left? Express your answer as a mixed number.","explanation":"Used = $$\\frac{1}{4}+\\frac{2}{5}=\\frac{5}{20}+\\frac{8}{20}=\\frac{13}{20}$$ kg. Left = 4 − $$\\frac{13}{20}$$ = 3$$\\frac{20}{20}$$ − $$\\frac{13}{20}$$ = 3$$\\frac{7}{20}$$ kg.","question_image":null,"answer0":"$$3\\frac{7}{20}$$","answer0_image":null,"answer1":"$$3\\frac{13}{20}$$","answer1_image":null,"answer2":"$$3\\frac{3}{9}$$","answer2_image":null,"answer3":"$$4\\frac{7}{20}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18033,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ali painted $$\\frac{2}{9}$$ of a wall on Monday and $$\\frac{2}{3}$$ of the same wall on Tuesday. What fraction of the wall was not painted?","explanation":"Painted = $$\\frac{2}{9}+\\frac{2}{3}=\\frac{2}{9}+\\frac{6}{9}=\\frac{8}{9}$$. Not painted = 1 − $$\\frac{8}{9}$$ = $$\\frac{1}{9}$$.","question_image":null,"answer0":"$$\\frac{8}{9}$$","answer0_image":null,"answer1":"$$\\frac{2}{9}$$","answer1_image":null,"answer2":"$$\\frac{1}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18034,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were 20 balloons at a party. 2 of them were purple, 4 of them were blue, 11 of them were green and the rest were yellow. For each statement, write True or False.<br>(a) $$\\frac{3}{20}$$ of the balloons were yellow.<br>(b) $$\\frac{1}{5}$$ of the balloons were blue.<br>(c) $$\\frac{9}{11}$$ of the balloons were not green.<br>(d) The fraction of the balloons that were purple is greater than the fraction of the balloons that were blue.","explanation":"Yellow = 20 − 2 − 4 − 11 = 3, so yellow = $$\\frac{3}{20}$$ → True. Blue = 4 = $$\\frac{4}{20}=\\frac{1}{5}$$ → True. Not green = 20 − 11 = 9 out of 20 = $$\\frac{9}{20}$$, not $$\\frac{9}{11}$$ → False. Purple $$\\frac{2}{20}$$ is less than blue $$\\frac{4}{20}$$, so 'purple greater than blue' → False.","question_image":null,"answer0":"True","answer0_image":null,"answer1":"True","answer1_image":null,"answer2":"False","answer2_image":null,"answer3":"False","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18035,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Sumiko baked some cookies. She gave $$\\frac{1}{6}$$ of the cookies to her siblings and 45 of the cookies to her friends. She had $$\\frac{2}{3}$$ of the cookies left.<br>(a) How many cookies did she have left?<br>(b) She packed the leftover cookies into 18 bags. Some bags contained 6 cookies while the rest of the bags contained 12 cookies. How many bags contained 6 cookies?","explanation":"(a) She gave away $$\\frac{1}{6}$$ + 45 cookies and had $$\\frac{2}{3}$$ left. Fraction given to siblings + fraction left = $$\\frac{1}{6}+\\frac{4}{6}=\\frac{5}{6}$$, so the 45 cookies given to friends are the remaining $$\\frac{1}{6}$$. Thus 1 unit ($$\\frac{1}{6}$$) = 45, and the $$\\frac{2}{3}$$ = 4 units left = 4 × 45 = 180 cookies. (b) 180 cookies in 18 bags. If all 18 bags held 12, that is 216; the shortfall 216 − 180 = 36 must come from bags holding 6 instead of 12 (each such bag is 6 fewer): 36 ÷ 6 = 6 bags contained 6 cookies.","question_image":null,"answer0":"180","answer0_image":null,"answer1":"6","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2023 P4 Weighted Assessment 1 and 2 WA2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18134,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$6\\frac{2}{5}$$ = $$\\frac{[?]}{5}$$","explanation":"Convert the mixed number to an improper fraction. $$6\\frac{2}{5}$$ = $$\\frac{(6\\times5)+2}{5}$$ = $$\\frac{32}{5}$$, so the missing number is 32.","question_image":null,"answer0":"12","answer0_image":null,"answer1":"22","answer1_image":null,"answer2":"30","answer2_image":null,"answer3":"32","answer3_image":null,"correct_answer":3,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 1 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18136,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mindy had $$\\frac{4}{5}$$ kg of flour at first. After she had used some of the flour to make noodles, she had $$\\frac{1}{3}$$ kg of flour left. How much flour did she use to make noodles?","explanation":"Flour used = flour at first − flour left = $$\\frac{4}{5}$$ − $$\\frac{1}{3}$$. Common denominator 15: $$\\frac{12}{15}$$ − $$\\frac{5}{15}$$ = $$\\frac{7}{15}$$ kg.","question_image":null,"answer0":"\\(\\frac{3}{15}\\) kg","answer0_image":null,"answer1":"\\(\\frac{7}{15}\\) kg","answer1_image":null,"answer2":"\\(\\frac{3}{8}\\) kg","answer2_image":null,"answer3":"\\(\\frac{5}{8}\\) kg","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 1 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18140,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following in decreasing order.<br>$$\\frac{11}{4}$$ , $$1\\frac{1}{6}$$ , 1 , $$\\frac{8}{3}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to a common form: $$\\frac{11}{4}$$ = 2.75, $$\\frac{8}{3}$$ ≈ 2.67, $$1\\frac{1}{6}$$ ≈ 1.17, 1 = 1. Decreasing order: $$\\frac{11}{4}$$, $$\\frac{8}{3}$$, $$1\\frac{1}{6}$$, 1.","question_image":null,"answer0":"11\/4","answer0_image":null,"answer1":"8\/3","answer1_image":null,"answer2":"1 1\/6","answer2_image":null,"answer3":"1","answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18143,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Fiona and Janet had a total of 126 cookies at first. After Janet gave away $$\\frac{1}{3}$$ of the cookies she had, she had 4 times as many cookies as Fiona. How many cookies did Janet have at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After giving away $$\\frac{1}{3}$$, Janet keeps $$\\frac{2}{3}$$ of her cookies, which equals 4 times Fiona's. The total 126 is unchanged. Take Fiona as 1 unit, so Janet's remaining = 4 units and Janet's original = 6 units (since $$\\frac{2}{3}$$ of original = 4 units → original = 6 units). Total units = 6 + 1 = 7 = 126, so 1 unit = 18. Janet at first = 6 × 18 = 108.","question_image":null,"answer0":"108","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18144,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Alan made some lime juice on Monday and Tuesday. He made $$\\frac{7}{8}$$ $$l$$ of lime juice on Monday. He made $$\\frac{2}{5}$$ $$l$$ more lime juice on Monday than Tuesday.<br>(a) How much lime juice did he make on Tuesday?<br>(b) What was the total amount of lime juice that he had made on both days? Give your answer in the simplest form.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Tuesday = Monday − $$\\frac{2}{5}$$ = $$\\frac{7}{8}$$ − $$\\frac{2}{5}$$. Common denominator 40: $$\\frac{35}{40}$$ − $$\\frac{16}{40}$$ = $$\\frac{19}{40}$$ $$l$$. (b) Total = Monday + Tuesday = $$\\frac{35}{40}$$ + $$\\frac{19}{40}$$ = $$\\frac{54}{40}$$ = $$1\\frac{14}{40}$$ = $$1\\frac{7}{20}$$ $$l$$.","question_image":null,"answer0":"19\/40","answer0_image":null,"answer1":"1 7\/20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 1 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18260,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"After making a $$\\frac{3}{4}$$-turn in an anti-clockwise direction, Andy is standing at point X and facing the playground.<br>Where was he facing at first?","explanation":"A $$\\frac{3}{4}$$-turn anti-clockwise ends facing the Playground (south-west of X). To find the original direction, turn back $$\\frac{3}{4}$$ clockwise (or $$\\frac{1}{4}$$ anti-clockwise) from the Playground direction, which points to the Shop (south-east of X).","question_image":"p4\/images\/red-swastika-2023-p4-weighted-assessment-1-q9.png","answer0":"Arcade","answer0_image":null,"answer1":"Shop","answer1_image":null,"answer2":"Carpark","answer2_image":null,"answer3":"Hospital","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Red Swastika 2023 P4 Weighted Assessment 1 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:10","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18405,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$5\\frac{2}{7} = \\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{7}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$5\\frac{2}{7} = \\frac{5\\times7 + 2}{7} = \\frac{35 + 2}{7} = \\frac{37}{7}$$. The missing numerator is 37.","question_image":null,"answer0":"37","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA1 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18408,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in decreasing order.<br>$$1\\frac{1}{6}$$, $$\\frac{3}{4}$$, $$\\frac{3}{2}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to a common comparison: $$\\frac{3}{2}=1.5$$, $$1\\frac{1}{6}\\approx1.17$$, $$\\frac{3}{4}=0.75$$. Decreasing order is $$\\frac{3}{2}$$, $$1\\frac{1}{6}$$, $$\\frac{3}{4}$$.","question_image":null,"answer0":"3\/2","answer0_image":null,"answer1":"1 1\/6","answer1_image":null,"answer2":"3\/4","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA1 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18409,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Meiling had some money. She spent $$\\frac{5}{6}$$ of the money and had $18 left. How much money did she have at first?<br>$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"She spent $$\\frac{5}{6}$$, so $$\\frac{1}{6}$$ was left = $18. That means 1 unit = $18, and the whole (6 units) = 6 × $18 = $108.","question_image":null,"answer0":"108","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18414,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Devi bought 24 curry puffs. She gave 6 curry puffs to her neighbour and her family ate 8 curry puffs. What fraction of the curry puffs were left? Express your answer in its simplest form.","explanation":"Curry puffs left = 24 − 6 − 8 = 10. Fraction left = $$\\frac{10}{24}$$, which simplifies (dividing by 2) to $$\\frac{5}{12}$$.","question_image":null,"answer0":"$$\\frac{14}{24}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{7}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA1 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18417,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Soh planted 27 rows of papaya trees in his orchard. There were 16 trees in each row. $$\\frac{4}{9}$$ of the papaya trees bore fruit. How many papaya trees bore fruit?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Total trees = 27 × 16 = 432. This is 9 units, so 1 unit = 432 ÷ 9 = 48. Trees that bore fruit = $$\\frac{4}{9}$$ = 4 units = 4 × 48 = 192.","question_image":null,"answer0":"192","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA1 Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18419,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Convert $$1\\frac{7}{25}$$ to a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{7}{25} = \\frac{28}{100} = 0.28$$. Add the whole number: 1 + 0.28 = 1.28.","question_image":null,"answer0":"1.28","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA2 Q2","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18420,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 83 tenths as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"83 tenths = $$\\frac{83}{10}$$ = 8.3.","question_image":null,"answer0":"8.3","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA2 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18421,"skill_id":125,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of 12 ÷ 5. Give your answer as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"12 ÷ 5 = 2 remainder 2, and $$\\frac{2}{5} = 0.4$$, so 12 ÷ 5 = 2.4.","question_image":null,"answer0":"2.4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18429,"skill_id":123,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A number is greater than 7.85 but smaller than 7.95. The value of the digit 3 is 0.03. The digit 1 stands for $$\\frac{1}{1000}$$. What is the number? Express your answer as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The number is between 7.85 and 7.95, so it starts 7.9. The digit 3 has value 0.03, so 3 is in the hundredths place. The digit 1 stands for $$\\frac{1}{1000}$$ = 0.001, so 1 is in the thousandths place. The number is 7.931.","question_image":null,"answer0":"7.931","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA2 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18430,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Wei Jia mixed 0.25 $$l$$ of rose syrup with 1.2 $$l$$ of milk to make Bandung drink for her guests. She then poured the Bandung drink equally into 8 glasses. How much Bandung drink was there in each glass? Give your answer correct to 2 decimal places.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> l","explanation":"Total drink = 1.2 + 0.25 = 1.45 l. Per glass = 1.45 ÷ 8 = 0.181... which rounds to 0.18 l (2 decimal places).","question_image":null,"answer0":"0.18","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA2 Q16","type_id":2,"calculator":null,"created_at":"2026-05-29 05:53:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 05:53:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18548,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$3\\frac{5}{6}$$ = $$\\frac{[?]}{6}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$3\\frac{5}{6}$$ = (3 × 6 + 5)\/6 = (18 + 5)\/6 = $$\\frac{23}{6}$$. The missing number is 23.","question_image":null,"answer0":"15","answer0_image":null,"answer1":"18","answer1_image":null,"answer2":"21","answer2_image":null,"answer3":"23","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18549,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following in increasing order.<br>$$\\frac{4}{5}$$, $$\\frac{4}{7}$$, $$\\frac{9}{4}$$","explanation":"$$\\frac{9}{4}$$ is greater than 1 (improper), so it is the largest. For $$\\frac{4}{5}$$ and $$\\frac{4}{7}$$, same numerator means the larger denominator gives the smaller fraction, so $$\\frac{4}{7}$$ < $$\\frac{4}{5}$$. Increasing order: $$\\frac{4}{7}$$, $$\\frac{4}{5}$$, $$\\frac{9}{4}$$.","question_image":null,"answer0":"\\(\\frac{4}{5}\\), \\(\\frac{4}{7}\\), \\(\\frac{9}{4}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{7}\\), \\(\\frac{4}{5}\\), \\(\\frac{9}{4}\\)","answer1_image":null,"answer2":"\\(\\frac{9}{4}\\), \\(\\frac{4}{5}\\), \\(\\frac{4}{7}\\)","answer2_image":null,"answer3":"\\(\\frac{9}{4}\\), \\(\\frac{4}{7}\\), \\(\\frac{4}{5}\\)","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18550,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$10\\frac{1}{4}$$ as a decimal.","explanation":"$$\\frac{1}{4}$$ = 25\/100 = 0.25, so $$10\\frac{1}{4}$$ = 10 + 0.25 = 10.25.","question_image":null,"answer0":"10.1","answer0_image":null,"answer1":"10.14","answer1_image":null,"answer2":"10.25","answer2_image":null,"answer3":"10.025","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18551,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What mixed number does the letter A represent on the number line? Give your answer in the simplest form.","explanation":"Each interval between whole numbers is divided into 8 equal parts, so each small mark is $$\\frac{1}{8}$$. A is 6 marks past 2, i.e. $$2\\frac{6}{8}$$ = $$2\\frac{3}{4}$$ in simplest form.","question_image":"p4\/images\/catholic-high-2023-p4-weighted-assessment-3-q5.png","answer0":"$$2\\frac{1}{4}$$","answer0_image":null,"answer1":"$$3\\frac{3}{4}$$","answer1_image":null,"answer2":"$$2\\frac{3}{4}$$","answer2_image":null,"answer3":"$$2\\frac{1}{2}$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18553,"skill_id":109,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The mass of a bag of potatoes is 3 $$kg$$ when rounded to the nearest kilogram. What is the greatest possible value of the bag of potatoes in 1 decimal place?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Masses from 2.5 kg up to (but not including) 3.5 kg round to 3 kg. The greatest value below 3.5 kg expressed to 1 decimal place is 3.4 kg.","question_image":null,"answer0":"3.4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:02:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18555,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Andy and Ben drank a total of $$\\frac{4}{5}$$ $$l$$ of juice. Andy drank $$\\frac{1}{2}$$ $$l$$ of the juice. How much more juice did Andy drink than Ben?","explanation":"Ben drank $$\\frac{4}{5}$$ − $$\\frac{1}{2}$$ = $$\\frac{8}{10}$$ − $$\\frac{5}{10}$$ = $$\\frac{3}{10}$$ l. Andy drank $$\\frac{1}{2}$$ = $$\\frac{5}{10}$$ l. Andy drank $$\\frac{5}{10}$$ − $$\\frac{3}{10}$$ = $$\\frac{2}{10}$$ = $$\\frac{1}{5}$$ l more than Ben.","question_image":null,"answer0":"$$\\frac{1}{5}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{10}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18556,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ray and Sherman shared a box of cards. Ray received $$\\frac{5}{12}$$ of the cards and Sherman received the remaining 105 cards. How many cards were there in the box?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Ray had $$\\frac{5}{12}$$, so Sherman had $$\\frac{7}{12}$$ = 7 units = 105 cards. 1 unit = 105 ÷ 7 = 15 cards. The whole box = 12 units = 12 × 15 = 180 cards.","question_image":null,"answer0":"180","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2023 P4 Weighted Assessment 3 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18759,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$3\\frac{2}{5}$$ = $$\\frac{[box]}{5}$$<br>What is the missing number in the box?","explanation":"Convert mixed number to improper fraction: 3 x 5 + 2 = 17, so 3 2\/5 = 17\/5. Missing number = 17. Option (3).","question_image":null,"answer0":"10","answer0_image":null,"answer1":"15","answer1_image":null,"answer2":"17","answer2_image":null,"answer3":"32","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18762,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{7}{8}$$ - $$\\frac{1}{4}$$","explanation":"1\/4 = 2\/8, so 7\/8 - 2\/8 = 5\/8. Option (1).","question_image":null,"answer0":"\\(\\frac{5}{8}\\)","answer0_image":null,"answer1":"\\(\\frac{6}{8}\\)","answer1_image":null,"answer2":"\\(1\\frac{1}{8}\\)","answer2_image":null,"answer3":"\\(1\\frac{1}{2}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18763,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{3}$$ + $$\\frac{2}{9}$$ + $$\\frac{7}{9}$$","explanation":"1\/3 = 3\/9, so 3\/9 + 2\/9 + 7\/9 = 12\/9 = 1 3\/9 = 1 1\/3. Option (3).","question_image":null,"answer0":"\\(1\\frac{1}{9}\\)","answer0_image":null,"answer1":"\\(1\\frac{2}{9}\\)","answer1_image":null,"answer2":"\\(1\\frac{1}{3}\\)","answer2_image":null,"answer3":"\\(1\\frac{2}{3}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18765,"skill_id":119,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the smallest to the greatest.<br>$$1\\frac{1}{4}$$ , $$\\frac{12}{11}$$ , $$1\\frac{1}{8}$$","explanation":"12\/11 = 1 1\/11. Compare 1\/11, 1\/8, 1\/4: 1\/11 < 1\/8 < 1\/4. So smallest to greatest: 12\/11, 1 1\/8, 1 1\/4. Option (4).","question_image":null,"answer0":"\\(1\\frac{1}{4}\\) , \\(1\\frac{1}{8}\\) , \\(\\frac{12}{11}\\)","answer0_image":null,"answer1":"\\(1\\frac{1}{8}\\) , \\(\\frac{12}{11}\\) , \\(1\\frac{1}{4}\\)","answer1_image":null,"answer2":"\\(\\frac{12}{11}\\) , \\(1\\frac{1}{4}\\) , \\(1\\frac{1}{8}\\)","answer2_image":null,"answer3":"\\(\\frac{12}{11}\\) , \\(1\\frac{1}{8}\\) , \\(1\\frac{1}{4}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18766,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jane had 6 cakes. She gave $$\\frac{1}{2}$$ of a cake to her sister and $$\\frac{1}{3}$$ of a cake to her brother. How many cakes had she left?","explanation":"Given away: 1\/2 + 1\/3 = 3\/6 + 2\/6 = 5\/6 of a cake. Left: 6 - 5\/6 = 5 1\/6 cakes. Option (3).","question_image":null,"answer0":"\\(\\frac{2}{5}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{6}\\)","answer1_image":null,"answer2":"\\(5\\frac{1}{6}\\)","answer2_image":null,"answer3":"\\(5\\frac{3}{5}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18768,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Emma has 24 apples and oranges. $$\\frac{3}{8}$$ of the fruits are apples. How many more oranges than apples does Emma have?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Apples = 3\/8 of 24 = 9. Oranges = 24 - 9 = 15. More oranges than apples = 15 - 9 = 6.","question_image":null,"answer0":"6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18770,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Amy has $$\\frac{3}{5}$$ kg of sugar. Bala has $$\\frac{1}{3}$$ kg of sugar more than Amy.<br>(a) How much sugar does Bala have? Express your answer in its simplest form.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> kg<br>(b) How much sugar do they have altogether? Express your answer in its simplest form.<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> kg","explanation":"(a) Bala = 3\/5 + 1\/3 = 9\/15 + 5\/15 = 14\/15 kg. (b) Altogether = Amy + Bala = 3\/5 + 14\/15 = 9\/15 + 14\/15 = 23\/15 = 1 8\/15 kg.","question_image":null,"answer0":"14\/15","answer0_image":null,"answer1":"1 8\/15","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18771,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}$$ of a bottle was filled with orange juice. After John poured in another 600 ml of orange juice, it became $$\\frac{5}{9}$$ full. How much orange juice can the bottle hold when it is completely full? Give your answer in millilitres.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> ml","explanation":"Increase in fraction filled = 5\/9 - 1\/3 = 5\/9 - 3\/9 = 2\/9. This equals 600 ml, so 2 units = 600 ml, 1 unit (1\/9) = 300 ml. Full bottle = 9 units = 9 x 300 = 2700 ml.","question_image":null,"answer0":"2700","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA2 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18774,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$5\\frac{9}{25}$$ as a decimal.","explanation":"9\/25 = 36\/100 = 0.36, so 5 9\/25 = 5.36. Option (3).","question_image":null,"answer0":"5.09","answer0_image":null,"answer1":"5.25","answer1_image":null,"answer2":"5.36","answer2_image":null,"answer3":"5.90","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2023 P4 Weighted Assessment WA3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:38","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18865,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction does the following represent?","explanation":"There are two whole shaded figures plus one half-shaded figure, giving 2 whole and $$\\frac{1}{2}$$, i.e. $$2\\frac{1}{2}$$.","question_image":"p4\/images\/pei-hwa-2023-p4-weighted-assessment-3-q1.png","answer0":"\\(\\frac{5}{6}\\)","answer0_image":null,"answer1":"\\(2\\frac{1}{2}\\)","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"\\(4\\frac{1}{2}\\)","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18866,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following shows $$\\frac{1}{3}$$ of a set shaded?","explanation":"Option 4 has 13 circles total with several shaded; the only set where the shaded portion is exactly one third of the whole set is option 4. (Check each set: shaded items ÷ total items = $$\\frac{1}{3}$$.)","question_image":null,"answer0":"Set A","answer0_image":null,"answer1":"Set B","answer1_image":null,"answer2":"Set C","answer2_image":null,"answer3":"Set D","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18867,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions is not the same as 0.4?","explanation":"0.4 = $$\\frac{4}{10}$$ = $$\\frac{2}{5}$$ = $$\\frac{10}{25}$$. But $$\\frac{3}{12}$$ = $$\\frac{1}{4}$$ = 0.25, which is not 0.4.","question_image":null,"answer0":"\\(\\frac{10}{25}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{5}\\)","answer1_image":null,"answer2":"\\(\\frac{3}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{10}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18870,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"John bought the following fruits.<br>orange: 2 kg, grapes: $$\\frac{1}{4}$$ kg, bananas: $$\\frac{2}{3}$$ kg<br>What was the total mass of the fruits bought?","explanation":"Total = 2 + $$\\frac{1}{4}$$ + $$\\frac{2}{3}$$. Common denominator 12: $$\\frac{1}{4}=\\frac{3}{12}$$, $$\\frac{2}{3}=\\frac{8}{12}$$. $$\\frac{3}{12}+\\frac{8}{12}=\\frac{11}{12}$$. Total = $$2\\frac{11}{12}$$ kg.","question_image":"p4\/images\/pei-hwa-2023-p4-weighted-assessment-3-q6.png","answer0":"\\(\\frac{5}{7}\\) kg","answer0_image":null,"answer1":"\\(2\\frac{3}{4}\\) kg","answer1_image":null,"answer2":"\\(2\\frac{3}{7}\\) kg","answer2_image":null,"answer3":"\\(2\\frac{11}{12}\\) kg","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18871,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A pot was filled with soup. Mrs Tan poured $$\\frac{1}{2}$$ of it for her son and $$\\frac{2}{7}$$ of it for herself. What fraction of the soup was left in the pot?","explanation":"Poured = $$\\frac{1}{2}+\\frac{2}{7}=\\frac{7}{14}+\\frac{4}{14}=\\frac{11}{14}$$. Left = 1 - $$\\frac{11}{14}=\\frac{3}{14}$$.","question_image":null,"answer0":"\\(\\frac{2}{3}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{14}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{14}\\)","answer2_image":null,"answer3":"\\(\\frac{9}{14}\\)","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18875,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Subtract $$\\frac{1}{8}$$ from 4.<br>Express your answer as an improper fraction.","explanation":"4 - $$\\frac{1}{8}$$ = $$\\frac{32}{8} - \\frac{1}{8}$$ = $$\\frac{31}{8}$$.","question_image":null,"answer0":"$$\\frac{31}{8}$$","answer0_image":null,"answer1":"$$\\frac{33}{8}$$","answer1_image":null,"answer2":"$$\\frac{4}{8}$$","answer2_image":null,"answer3":"$$\\frac{29}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18876,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the number line, what is the mixed number represented by A?","explanation":"The line runs from $$1\\frac{2}{3}$$ to $$2\\frac{1}{2}$$ in 5 equal intervals of $$\\frac{1}{6}$$. The marks are $$1\\frac{2}{3}, 1\\frac{5}{6}, 2, 2\\frac{1}{6}, 2\\frac{2}{6}=2\\frac{1}{3}, 2\\frac{1}{2}$$. A is one step past 2, so A = $$2\\frac{1}{6}$$.","question_image":"p4\/images\/pei-hwa-2023-p4-weighted-assessment-3-q12.png","answer0":"$$2\\frac{5}{6}$$","answer0_image":null,"answer1":"$$1\\frac{1}{6}$$","answer1_image":null,"answer2":"$$2\\frac{1}{6}$$","answer2_image":null,"answer3":"$$3\\frac{1}{6}$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18877,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write a fraction between $$\\frac{1}{3}$$ and $$\\frac{1}{4}$$.","explanation":"Use a common denominator: $$\\frac{1}{3}=\\frac{8}{24}$$ and $$\\frac{1}{4}=\\frac{6}{24}$$. A fraction in between is $$\\frac{7}{24}$$.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{7}{24}$$","answer1_image":null,"answer2":"$$\\frac{2}{7}$$","answer2_image":null,"answer3":"$$\\frac{1}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18878,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$7\\frac{1}{20}$$ as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{1}{20}=\\frac{5}{100}=0.05$$. So $$7\\frac{1}{20}$$ = 7 + 0.05 = 7.05.","question_image":null,"answer0":"7.05","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18883,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical rectangles. How many more rectangles must be shaded to have $$\\frac{4}{5}$$ of the figure shaded?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The figure has 20 identical rectangles (4 rows of 5). $$\\frac{4}{5}$$ of 20 = 16 shaded needed. Currently 9 are shaded, so 16 - 9 = 7 more must be shaded.","question_image":"p4\/images\/pei-hwa-2023-p4-weighted-assessment-3-q19.png","answer0":"7","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18885,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Doreen had some beads for sale. She sold $$\\frac{1}{3}$$ of the beads in the morning and $$\\frac{2}{5}$$ of the beads in the afternoon. (a) What fraction of the beads was left? (b) Doreen had 28 beads left. How many beads did she have at first?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, (b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Sold = $$\\frac{1}{3}+\\frac{2}{5}=\\frac{5}{15}+\\frac{6}{15}=\\frac{11}{15}$$. Left = 1 - $$\\frac{11}{15}=\\frac{4}{15}$$. (b) $$\\frac{4}{15}$$ of the beads = 28, so 4 units = 28, 1 unit = 7. Total 15 units = 7 × 15 = 105 beads.","question_image":null,"answer0":"4\/15","answer0_image":null,"answer1":"105","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Pei Hwa 2023 P4 Weighted Assessment 3 Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18920,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following from the smallest to the greatest.<br>$$\\frac{1}{5}$$, 0.83, $$\\frac{7}{100}$$","explanation":"Convert all to decimals: $$\\frac{1}{5}$$ = 0.20, 0.83 = 0.83, $$\\frac{7}{100}$$ = 0.07. Ordering smallest to greatest: 0.07 < 0.20 < 0.83, so $$\\frac{7}{100}$$, $$\\frac{1}{5}$$, 0.83. Answer: option 3.","question_image":null,"answer0":"\\(\\frac{1}{5}\\), \\(\\frac{7}{100}\\), 0.83","answer0_image":null,"answer1":"\\(\\frac{7}{100}\\), 0.83, \\(\\frac{1}{5}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{100}\\), \\(\\frac{1}{5}\\), 0.83","answer2_image":null,"answer3":"0.83, \\(\\frac{7}{100}\\), \\(\\frac{1}{5}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18922,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Andy had 204 balloons. $$\\frac{2}{3}$$ of the balloons were blue and the rest were grey and white. There were 3 times as many grey balloons as white balloons. How many white balloons were there?","explanation":"Blue = $$\\frac{2}{3}$$ × 204 = 136. Grey and white together = 204 − 136 = 68. Grey is 3 times white, so the 68 splits into 3 + 1 = 4 equal parts. White = 68 ÷ 4 = 17. Answer: 17.","question_image":null,"answer0":"17","answer0_image":null,"answer1":"68","answer1_image":null,"answer2":"102","answer2_image":null,"answer3":"136","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18924,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of<br>(a) $$\\frac{2}{3}$$ + $$\\frac{5}{9}$$. Express your answer as a mixed number. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) $$\\frac{7}{8}$$ − $$\\frac{5}{6}$$ <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) $$\\frac{2}{3}$$=$$\\frac{6}{9}$$; $$\\frac{6}{9}$$+$$\\frac{5}{9}$$=$$\\frac{11}{9}$$=$$1\\frac{2}{9}$$. (b) Common denominator 24: $$\\frac{7}{8}$$=$$\\frac{21}{24}$$, $$\\frac{5}{6}$$=$$\\frac{20}{24}$$; $$\\frac{21}{24}$$−$$\\frac{20}{24}$$=$$\\frac{1}{24}$$.","question_image":null,"answer0":"1 2\/9","answer0_image":null,"answer1":"1\/24","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18927,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ray walked $$5\\frac{3}{4}$$ km. He walked $$\\frac{2}{5}$$ km less than John. What was the total distance they had walked? Express your answer in the simplest form.","explanation":"Ray walked $$5\\frac{3}{4}$$ km. John walked $$\\frac{2}{5}$$ km more than Ray: John = $$5\\frac{3}{4}$$ + $$\\frac{2}{5}$$. Using twentieths, $$5\\frac{15}{20}$$ + $$\\frac{8}{20}$$ = $$6\\frac{3}{20}$$. Total = Ray + John = $$5\\frac{15}{20}$$ + $$6\\frac{3}{20}$$ = $$11\\frac{18}{20}$$ = $$11\\frac{9}{10}$$ km.","question_image":null,"answer0":"$$11\\frac{1}{10}$$","answer0_image":null,"answer1":"$$11\\frac{9}{10}$$","answer1_image":null,"answer2":"$$11\\frac{1}{2}$$","answer2_image":null,"answer3":"$$12\\frac{9}{10}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2023 P4 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18962,"skill_id":80,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$\\frac{3}{5}=\\frac{27}{[?]}$$","explanation":"27 = 3 × 9, so multiply the denominator by 9 too: 5 × 9 = 45. The missing number is 45 (option 4).","question_image":null,"answer0":"14","answer0_image":null,"answer1":"29","answer1_image":null,"answer2":"40","answer2_image":null,"answer3":"45","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Raffles 2023 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18970,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{1}{4}$$ and $$\\frac{2}{6}$$.","explanation":"$$\\frac{1}{4}=\\frac{3}{12}$$ and $$\\frac{2}{6}=\\frac{1}{3}=\\frac{4}{12}$$. Sum = $$\\frac{3}{12}+\\frac{4}{12}=\\frac{7}{12}$$ (option 4).","question_image":null,"answer0":"\\(\\frac{1}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{10}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{2}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{12}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Raffles 2023 P4 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18982,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Eunice used $$\\frac{4}{5}$$ m of ribbon to make a bow tie. She used $$\\frac{1}{2}$$ m less ribbon to tie a present. How much ribbon did she use to tie the present?","explanation":"$$\\frac{4}{5}-\\frac{1}{2}$$. Common denominator 10: $$\\frac{8}{10}-\\frac{5}{10}=\\frac{3}{10}$$ m.","question_image":null,"answer0":"$$\\frac{3}{5}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{3}{10}$$","answer2_image":null,"answer3":"$$\\frac{13}{10}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Raffles 2023 P4 Weighted Assessment 2 Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":18985,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in order, starting from the smallest.<br>$$\\frac{2}{3}$$ , $$\\frac{3}{4}$$ , $$\\frac{1}{2}$$","explanation":"Convert to a common denominator of 12: $$\\frac{2}{3}=\\frac{8}{12}$$, $$\\frac{3}{4}=\\frac{9}{12}$$, $$\\frac{1}{2}=\\frac{6}{12}$$. Smallest to largest: $$\\frac{1}{2}, \\frac{2}{3}, \\frac{3}{4}$$.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"2\/3","answer1_image":null,"answer2":"3\/4","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2023 P4 Weighted Assessment 2 Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19038,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{11}{12}$$ − $$\\frac{2}{3}$$ in its simplest form.","explanation":"Convert to a common denominator of 12: $$\\frac{2}{3}=\\frac{8}{12}$$. Then $$\\frac{11}{12}-\\frac{8}{12}=\\frac{3}{12}=\\frac{1}{4}$$.","question_image":null,"answer0":"$$\\frac{3}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{4}$$","answer1_image":null,"answer2":"$$\\frac{9}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2023 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19041,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The letter A represents a mixed number. Give your answer in its simplest form.","explanation":"The interval from 1 to 2 on the number line is divided into 3 equal parts. The arrow labelled A is at the first mark after 1, so A = $$1\\frac{1}{3}$$.","question_image":"p4\/images\/rosyth-2023-p4-weighted-assessment-2-q8.png","answer0":"$$1\\frac{2}{3}$$","answer0_image":null,"answer1":"$$1\\frac{1}{3}$$","answer1_image":null,"answer2":"$$2\\frac{1}{3}$$","answer2_image":null,"answer3":"$$1\\frac{1}{6}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2023 P4 Weighted Assessment 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19042,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in increasing order.<br>$$\\frac{4}{5}$$, $$\\frac{2}{3}$$, $$\\frac{5}{3}$$","explanation":"$$\\frac{2}{3}\\approx0.67$$, $$\\frac{4}{5}=0.8$$, $$\\frac{5}{3}\\approx1.67$$. In increasing order: $$\\frac{2}{3}, \\frac{4}{5}, \\frac{5}{3}$$.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"4\/5","answer1_image":null,"answer2":"5\/3","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2023 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19046,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Rihana had $105. She used $$\\frac{1}{3}$$ of it on a watch and spent the rest of her money on a present. How much did the present cost?","explanation":"She spent $$\\frac{1}{3}$$ on the watch, so $$\\frac{2}{3}$$ was spent on the present. The present cost $$\\frac{2}{3}$$ of $105 = 2 × ($105 ÷ 3) = 2 × $35 = $70.","question_image":null,"answer0":"$70","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2023 P4 Weighted Assessment 2 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19095,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is equal to $$2\\frac{5}{7}$$?","explanation":"Convert the mixed number to an improper fraction: $$2\\frac{5}{7} = \\frac{2\\times 7 + 5}{7} = \\frac{14+5}{7} = \\frac{19}{7}$$.","question_image":null,"answer0":"\\(\\frac{10}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{17}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{19}{7}\\)","answer2_image":null,"answer3":"\\(\\frac{25}{7}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19098,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$7.2 = 7 + \\frac{1}{[?]}$$<br>What is the missing number in the box?","explanation":"7.2 = 7 + 0.2. Write 0.2 as a fraction: $$0.2 = \\frac{2}{10} = \\frac{1}{5}$$. So the missing number in the box is 5.","question_image":null,"answer0":"5","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"10","answer2_image":null,"answer3":"100","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19103,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"David spent $$\\frac{4}{9}$$ of his money and had $80 left. How much money did he have at first?","explanation":"Fraction left = $$1 - \\frac{4}{9} = \\frac{5}{9}$$, which equals $80. So $$\\frac{1}{9}$$ = $80 ÷ 5 = $16, and the whole = $16 × 9 = $144... check: $144 × $$\\frac{5}{9}$$ = $80. Total money at first = $144.","question_image":null,"answer0":"$16","answer0_image":null,"answer1":"$20","answer1_image":null,"answer2":"$144","answer2_image":null,"answer3":"$180","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19104,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write the fraction represented by X.","explanation":"Each whole on the number line between 1 and 2 is divided into 5 equal parts (fifths). X is 3 small marks past 1, so X = $$1\\frac{3}{5}$$.","question_image":"p4\/images\/red-swastika-2023-p4-weighted-assessment-2-q11.png","answer0":"$$1\\frac{2}{5}$$","answer0_image":null,"answer1":"$$1\\frac{3}{5}$$","answer1_image":null,"answer2":"$$2\\frac{3}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{5}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q11a","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19105,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the largest.<br>3.5 , 3.05 , $$3\\frac{1}{100}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Write all as decimals: $$3\\frac{1}{100} = 3.01$$, 3.05, 3.5. In order smallest to largest: 3.01, 3.05, 3.5, i.e. $$3\\frac{1}{100}$$, 3.05, 3.5.","question_image":null,"answer0":"3 1\/100","answer0_image":null,"answer1":"3.05","answer1_image":null,"answer2":"3.5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q11b","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19106,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{7}{20}$$ as a decimal.","explanation":"Make the denominator 100: $$\\frac{7}{20} = \\frac{35}{100} = 0.35$$. So $$4\\frac{7}{20} = 4.35$$.","question_image":null,"answer0":"4.35","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q12a","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19107,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express 5.2 as a mixed number in its simplest form.","explanation":"5.2 = 5 + 0.2. Write 0.2 as a fraction: $$0.2 = \\frac{2}{10} = \\frac{1}{5}$$. So 5.2 = $$5\\frac{1}{5}$$.","question_image":null,"answer0":"$$5\\frac{2}{10}$$","answer0_image":null,"answer1":"$$5\\frac{1}{5}$$","answer1_image":null,"answer2":"$$5\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{26}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q12b","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19109,"skill_id":121,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A bag of potatoes is $$\\frac{2}{5}$$ kg heavier than a bag of tomatoes. The bag of tomatoes has a mass of $$\\frac{5}{8}$$ kg. What is the mass of the bag of potatoes? Leave your answer in mixed number.","explanation":"Mass of potatoes = $$\\frac{5}{8} + \\frac{2}{5}$$. Common denominator 40: $$\\frac{25}{40} + \\frac{16}{40} = \\frac{41}{40} = 1\\frac{1}{40}$$ kg.","question_image":null,"answer0":"$$\\frac{9}{40}$$","answer0_image":null,"answer1":"$$1\\frac{1}{40}$$","answer1_image":null,"answer2":"$$1\\frac{7}{40}$$","answer2_image":null,"answer3":"$$\\frac{41}{40}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19110,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Juliet baked some chocolate and oatmeal cookies. She baked 12 chocolate cookies and $$\\frac{5}{8}$$ of the cookies were oatmeal. Her mother gave her another 8 oatmeal cookies. What fraction of the cookies were chocolate?","explanation":"If 5\/8 were oatmeal, then 3\/8 were chocolate = 12 cookies. So 1\/8 = 4 cookies and total = 32 cookies (12 chocolate, 20 oatmeal). After 8 more oatmeal: total = 40, chocolate still 12. Fraction chocolate = $$\\frac{12}{40} = \\frac{3}{10}$$.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{12}{40}$$","answer2_image":null,"answer3":"$$\\frac{2}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19112,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. What fraction of his money did he save?","explanation":"Fraction spent = $$\\frac{1}{2} + \\frac{1}{5} = \\frac{5}{10} + \\frac{2}{10} = \\frac{7}{10}$$. Fraction saved = $$1 - \\frac{7}{10} = \\frac{3}{10}$$.","question_image":null,"answer0":"$$\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{2}{7}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q18a","type_id":1,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19113,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. How much does each T-shirt cost?","explanation":"Saved fraction = $$\\frac{3}{10}$$ = $60, so $$\\frac{1}{10}$$ = $20 and total money = $200. He spent $$\\frac{1}{5}$$ on two T-shirts = $200 × $$\\frac{1}{5}$$ = $40 for two T-shirts. Each T-shirt = $40 ÷ 2 = $20.","question_image":null,"answer0":"20","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q18b","type_id":2,"calculator":null,"created_at":"2026-05-29 06:02:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19261,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$4\\frac{3}{25}$$ as a decimal.","explanation":"$$\\frac{3}{25}=\\frac{12}{100}=0.12$$. So $$4\\frac{3}{25}=4.12$$.","question_image":null,"answer0":"4.012","answer0_image":null,"answer1":"4.325","answer1_image":null,"answer2":"4.12","answer2_image":null,"answer3":"4.65","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19270,"skill_id":137,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the figure, $$\\frac{3}{4}$$ of the square is shaded. The unshaded area is 25 cm².<br>Find the length of the square.","explanation":"Unshaded = 1\/4 of square = 25 cm², so whole square = 100 cm². Length = √100 = 10 cm.","question_image":"p4\/images\/acs-2024-p4-end-of-year-exam-q12.png","answer0":"5 cm","answer0_image":null,"answer1":"10 cm","answer1_image":null,"answer2":"75 cm","answer2_image":null,"answer3":"100 cm","answer3_image":null,"correct_answer":1,"status_id":4,"source":"ACS 2024 P4 End-of-Year Exam Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19276,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these numbers from the smallest to the greatest.<br>$$\\frac{4}{5}$$    0.405    0.045<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"4\/5 = 0.8. Compare 0.045, 0.405, 0.8. Smallest to greatest: 0.045, 0.405, 4\/5.","question_image":null,"answer0":"0.045","answer0_image":null,"answer1":"0.405","answer1_image":null,"answer2":"4\/5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2024 P4 End-of-Year Exam Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19279,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{8}+\\frac{3}{4}$$?<br>Express your answer as a mixed number.","explanation":"$$\\frac{3}{4}=\\frac{6}{8}$$. $$\\frac{5}{8}+\\frac{6}{8}=\\frac{11}{8}=1\\frac{3}{8}$$.","question_image":null,"answer0":"$$\\frac{11}{8}$$","answer0_image":null,"answer1":"$$1\\frac{3}{8}$$","answer1_image":null,"answer2":"$$1\\frac{1}{8}$$","answer2_image":null,"answer3":"$$1\\frac{3}{4}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS 2024 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19281,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the muffins sold on Sunday was chocolate?<br>Give your answer in the simplest form.","explanation":"Sunday total = 88 + 120 = 208. Chocolate = 120. $$\\frac{120}{208}=\\frac{15}{26}$$ (÷8).","question_image":"p4\/images\/acs-2024-p4-end-of-year-exam-q23.png","answer0":"$$\\frac{11}{26}$$","answer0_image":null,"answer1":"$$\\frac{13}{26}$$","answer1_image":null,"answer2":"$$\\frac{15}{26}$$","answer2_image":null,"answer3":"$$\\frac{17}{26}$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"ACS 2024 P4 End-of-Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19284,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$5-\\frac{7}{11}$$?<br>Express your answer as an improper fraction.","explanation":"$$5=\\frac{55}{11}$$. $$\\frac{55}{11}-\\frac{7}{11}=\\frac{48}{11}$$.","question_image":null,"answer0":"$$\\frac{48}{11}$$","answer0_image":null,"answer1":"$$\\frac{55}{11}$$","answer1_image":null,"answer2":"$$\\frac{38}{11}$$","answer2_image":null,"answer3":"$$\\frac{47}{11}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2024 P4 End-of-Year Exam Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19292,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A crate weighs 36 kg when it is completely filled with sand.<br>It weighs 12 kg when it is $$\\frac{1}{4}$$ filled with sand.<br>What is the mass of the crate when it is empty?","explanation":"Full sand = 36 - crate. 1\/4 sand = 12 - crate. Full sand is 4 times the quarter: 36 - c = 4(12 - c) => 36 - c = 48 - 4c => 3c = 12 => c = 4 kg. (Key: 8×4=32; 36-32=4.)","question_image":null,"answer0":"4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2024 P4 End-of-Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19295,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Lim bought some highlighters in different colours. $$\\frac{1}{5}$$ of the highlighters were blue and $$\\frac{3}{10}$$ were yellow. The rest of the highlighters were green.<br>(a) What fraction of the highlighters were green? Give your answer in its simplest form.<br>(b) Mrs Lim bought 48 yellow highlighters. How many highlighters did she buy altogether?","explanation":"(a) Blue = 1\/5 = 2\/10, Yellow = 3\/10. Green = 1 - 2\/10 - 3\/10 = 5\/10 = 1\/2. (b) Yellow 3\/10 = 48, so 1\/10 = 16; total = 10 × 16 = 160.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"160","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2024 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19354,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$7\\frac{5}{8}$$ = $$\\frac{[?]}{8}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: 7 x 8 + 5 = 61. So $$7\\frac{5}{8}=\\frac{61}{8}$$.","question_image":null,"answer0":"35","answer0_image":null,"answer1":"51","answer1_image":null,"answer2":"56","answer2_image":null,"answer3":"61","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19355,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{74}{100}$$ as a decimal.","explanation":"74 hundredths = 0.74.","question_image":null,"answer0":"0.704","answer0_image":null,"answer1":"0.074","answer1_image":null,"answer2":"0.74","answer2_image":null,"answer3":"7.04","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19366,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Wong had some cupcakes. She gave $$\\frac{1}{4}$$ of the cupcakes to her sister and $$\\frac{5}{12}$$ of them to her neighbours. She gave away 72 cupcakes altogether. How many cupcakes did Mrs Wong have at first?","explanation":"Fraction given away = 1\/4 + 5\/12 = 3\/12 + 5\/12 = 8\/12 = 2\/3. So 2\/3 of the total = 72 -> 1\/3 = 36 -> total = 3 x 36 = 108.","question_image":null,"answer0":"36","answer0_image":null,"answer1":"48","answer1_image":null,"answer2":"108","answer2_image":null,"answer3":"216","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19371,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are equivalent to $$\\frac{4}{6}$$? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"4\/6 simplifies to 2\/3. Multiplying numerator and denominator by 2 gives 8\/12. So 2\/3 and 8\/12 are equivalent to 4\/6.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"8\/12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19375,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{3}{4}$$ , $$\\frac{1}{2}$$ , $$\\frac{5}{8}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to eighths: 3\/4 = 6\/8, 1\/2 = 4\/8, 5\/8 = 5\/8. Greatest to smallest: 6\/8 > 5\/8 > 4\/8, i.e. 3\/4, 5\/8, 1\/2.","question_image":null,"answer0":"3\/4","answer0_image":null,"answer1":"5\/8","answer1_image":null,"answer2":"1\/2","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19383,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A group of children took part in a race. $$\\frac{3}{8}$$ of the participants were girls. There were 120 boys. How many girls were there? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Girls = 3\/8, so boys = 5\/8 = 120. 1 unit (1\/8) = 120 \/ 5 = 24. Girls = 3 x 24 = 72.","question_image":null,"answer0":"72","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19388,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jerry had 5 kg of rice. He used $$\\frac{3}{4}$$ kg of it to prepare fried rice and another $$\\frac{1}{6}$$ kg of it to prepare chicken rice.<br>(a) How much rice did Jerry use altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How much rice did Jerry have left? Give your answer as a mixed number in its simplest form. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 3\/4 + 1\/6 = 9\/12 + 2\/12 = 11\/12 kg. (b) Left = 5 - 11\/12 = 4 12\/12 - 11\/12 = 4 1\/12 kg.","question_image":null,"answer0":"11\/12","answer0_image":null,"answer1":"4 1\/12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19391,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Vincent mixed 6.4 $$l$$ of blue paint with 7 $$l$$ of white paint. After he poured some of the paint into 1 large and 1 small empty tin, there was 2.15 $$l$$ of paint left. The volume of a large tin was five times as much as a small tin.<br>(a) How much paint did he mix altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How much paint was there in the small tin? Give your answer correct to 1 decimal place. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 6.4 + 7 = 13.4 l. (b) Paint poured into tins = 13.4 - 2.15 = 11.25 l. Large + small = 5 units + 1 unit = 6 units = 11.25 l. Small tin = 11.25 \/ 6 = 1.875 l ≈ 1.9 l.","question_image":null,"answer0":"13.4","answer0_image":null,"answer1":"1.9","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Ai Tong 2024 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19512,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{63}{100}$$ as a decimal.","explanation":"Hundredths: $$\\frac{63}{100}$$ = 0.63.","question_image":null,"answer0":"0.063","answer0_image":null,"answer1":"0.603","answer1_image":null,"answer2":"0.63","answer2_image":null,"answer3":"6.03","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19516,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Li used $$\\frac{1}{4}$$ kg of flour to bake brownies. She used $$\\frac{1}{2}$$ kg more flour to bake muffins than brownies. What was the total mass of flour she used to bake brownies and muffins?","explanation":"Muffins = $$\\frac{1}{4}+\\frac{1}{2}=\\frac{1}{4}+\\frac{2}{4}=\\frac{3}{4}$$ kg. Total = $$\\frac{1}{4}+\\frac{3}{4}=1$$ kg.","question_image":null,"answer0":"1 kg","answer0_image":null,"answer1":"\\(\\frac{2}{6}\\) kg","answer1_image":null,"answer2":"\\(\\frac{3}{4}\\) kg","answer2_image":null,"answer3":"\\(\\frac{3}{10}\\) kg","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19521,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{14}{21}$$ in its simplest form.","explanation":"Divide numerator and denominator by their HCF 7: $$\\frac{14}{21}=\\frac{14\\div7}{21\\div7}=\\frac{2}{3}$$.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{7}{14}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{3}{4}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19522,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{2}{5}$$ as an improper fraction.","explanation":"4 × 5 + 2 = 22, over the same denominator 5: $$4\\frac{2}{5}=\\frac{22}{5}$$.","question_image":null,"answer0":"$$\\frac{20}{5}$$","answer0_image":null,"answer1":"$$\\frac{8}{5}$$","answer1_image":null,"answer2":"$$\\frac{22}{5}$$","answer2_image":null,"answer3":"$$\\frac{42}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19523,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$2-\\frac{1}{2}-\\frac{1}{8}$$","explanation":"Convert to eighths: 2 = $$\\frac{16}{8}$$. $$\\frac{16}{8}-\\frac{4}{8}-\\frac{1}{8}=\\frac{11}{8}=1\\frac{3}{8}$$.","question_image":null,"answer0":"$$1\\frac{3}{8}$$","answer0_image":null,"answer1":"$$1\\frac{1}{8}$$","answer1_image":null,"answer2":"$$1\\frac{5}{8}$$","answer2_image":null,"answer3":"$$\\frac{11}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19526,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle y$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Using a protractor on the angle between the horizontal ray and the slanted ray gives $$\\angle y=45°$$.","question_image":"p4\/images\/henry-park-2024-p4-end-of-year-exam-q19.png","answer0":"45","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2024 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:19","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19534,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure consists of 6 identical squares. Each of the squares has an area of 49 cm². Find the perimeter of the figure.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> cm","explanation":"Each square side = $$\\sqrt{49}$$ = 7 cm. Counting the outer edges of the staircase figure gives 12 side-lengths: 12 × 7 = 84 cm.","question_image":"p4\/images\/henry-park-2024-p4-end-of-year-exam-q27.png","answer0":"84","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2024 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19541,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A box contains blue, green and red marbles. $$\\frac{1}{4}$$ of the marbles are blue. There are 24 more green than blue marbles. The remaining 32 marbles are red. How many marbles are there in the box?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Blue = 1 unit (1\/4 of total), so total = 4 units and green + red = 3 units. Green = blue + 24 = 1 unit + 24. Green + red = (1 unit + 24) + 32 = 3 units, so 2 units = 56, 1 unit = 28. Total = 4 × 28 = 112.","question_image":null,"answer0":"112","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q34","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19544,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Ling had a sum of money. After spending $$\\frac{5}{8}$$ of her money on a laptop and a camera, she had $3087 left. (a) Find the amount of money that Mrs Ling had spent. (b) The laptop cost $130 more than the camera. Find the cost of the camera.<br>(a) $<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) $<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"She kept $$\\frac{3}{8}$$ = $3087, so 1\/8 = 3087 ÷ 3 = $1029. (a) Spent = $$\\frac{5}{8}$$ = 1029 × 5 = $5145. (b) Laptop + camera = 5145; laptop is $130 more, so 2 cameras = 5145 − 130 = 5015, camera = 5015 ÷ 2 = $2507.50.","question_image":null,"answer0":"5145","answer0_image":null,"answer1":"2507.50","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19548,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"At first, there were a total of 1638 children at a carnival. After $$\\frac{1}{2}$$ of the boys and $$\\frac{4}{5}$$ of the girls went home, there was an equal number of boys and girls remaining at the carnival. How many more girls than boys were there at the carnival at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Boys remaining = 1\/2 boys; girls remaining = 1\/5 girls. These are equal: 1\/2 boys = 1\/5 girls → girls = 2.5 × boys, i.e. boys : girls = 2 : 5. Total units = 7 = 1638, so 1 unit = 234. Boys = 2 × 234 = 468, girls = 5 × 234 = 1170. More girls = 1170 − 468 = 702 (= 3 units = 234 × 3).","question_image":null,"answer0":"702","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19549,"skill_id":230,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the figure, ABCD is a rectangle and $$\\angle ECD$$ is 32°. (a) Find $$\\angle x$$. (b) Given that $$\\angle x$$ is twice the size of $$\\angle y$$, find $$\\angle y$$.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) $$\\angle BCD$$ = 90° (rectangle corner). $$\\angle x = \\angle BCE = 90° − 32° = 58°$$. (b) $$\\angle x$$ is twice $$\\angle y$$, so $$\\angle y = 58° ÷ 2 = 29°$$.","question_image":"p4\/images\/henry-park-2024-p4-end-of-year-exam-q43.png","answer0":"58","answer0_image":null,"answer1":"29","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2024 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:20","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19625,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are hexagons?","explanation":"There are 12 shapes in total. 5 of them are hexagons. Fraction that are hexagons = $$\\frac{5}{12}$$. Answer: $$\\frac{5}{12}$$.","question_image":"p4\/images\/maha-bodhi-2024-p4-end-of-year-exam-q3.png","answer0":"\\(\\frac{7}{5}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{5}{12}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19626,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{12}$$ − $$\\frac{1}{3}$$ =","explanation":"Convert to a common denominator: $$\\frac{1}{3}=\\frac{4}{12}$$. Then $$\\frac{5}{12}-\\frac{4}{12}=\\frac{1}{12}$$. Answer: $$\\frac{1}{12}$$.","question_image":null,"answer0":"\\(\\frac{1}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{12}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19628,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{91}{100}$$ as a decimal.","explanation":"$$\\frac{91}{100}$$ means 91 hundredths, which is written as 0.91. Answer: 0.91.","question_image":null,"answer0":"0.901","answer0_image":null,"answer1":"0.091","answer1_image":null,"answer2":"0.91","answer2_image":null,"answer3":"9.01","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19632,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Bala wants to shade $$\\frac{2}{3}$$ of the figure. How many more triangles must he shade?","explanation":"The figure has 9 small triangles. $$\\frac{2}{3}$$ of 9 = 6 triangles need to be shaded. 2 are already shaded, so 6 − 2 = 4 more must be shaded. Answer: 4.","question_image":"p4\/images\/maha-bodhi-2024-p4-end-of-year-exam-q10.png","answer0":"5","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19641,"skill_id":80,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{4}$$ = $$\\frac{9}{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$<br>What is the missing number in the box?","explanation":"The numerator 3 was multiplied by 3 to get 9, so multiply the denominator by 3 too: 4 × 3 = 12. Answer: 12.","question_image":null,"answer0":"12","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19642,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{4}{5}$$ + $$\\frac{3}{10}$$? Express your answer as a mixed number.","explanation":"$$\\frac{4}{5}=\\frac{8}{10}$$. Then $$\\frac{8}{10}+\\frac{3}{10}=\\frac{11}{10}=1\\frac{1}{10}$$. Answer: $$1\\frac{1}{10}$$.","question_image":null,"answer0":"$$\\frac{11}{10}$$","answer0_image":null,"answer1":"$$1\\frac{1}{5}$$","answer1_image":null,"answer2":"$$1\\frac{1}{10}$$","answer2_image":null,"answer3":"$$1\\frac{3}{10}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19647,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$6\\frac{5}{9}$$ = $$\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{9}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: 6 × 9 + 5 = 59. So $$6\\frac{5}{9}=\\frac{59}{9}$$. The missing number is 59. Answer: 59.","question_image":null,"answer0":"59","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19648,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Gopal had a sum of money. She spent $$\\frac{2}{9}$$ of it to buy a sofa and $$\\frac{4}{9}$$ of it to buy a television. She had $1500 left. How much money did she have at first?","explanation":"Fraction spent = $$\\frac{2}{9}+\\frac{4}{9}=\\frac{6}{9}$$. Fraction left = $$\\frac{3}{9}$$ of the total = $1500. So 1 part ($$\\frac{1}{9}$$) = 1500 ÷ 3 = $500. Total = 500 × 9 = $4500. Answer: $4500.","question_image":null,"answer0":"4500","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19649,"skill_id":124,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the greatest.<br>1.203 , $$1\\frac{3}{50}$$ , $$\\frac{32}{20}$$ , 1.302<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to decimals: $$1\\frac{3}{50}=1.06$$; 1.203; 1.302; $$\\frac{32}{20}=1.6$$. Smallest to greatest: 1.06, 1.203, 1.302, 1.6, i.e. $$1\\frac{3}{50}$$, 1.203, 1.302, $$\\frac{32}{20}$$. Answer: 1 3\/50, 1.203, 1.302, 32\/20.","question_image":null,"answer0":"1 3\/50","answer0_image":null,"answer1":"1.203","answer1_image":null,"answer2":"1.302","answer2_image":null,"answer3":"32\/20","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19650,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Janice mixed 5 $$ℓ$$ of orange juice with 2 $$ℓ$$ of carrot juice to make fruit punch. Then, she poured the fruit punch into 4 jugs. How many litres of fruit punch was in each jug?","explanation":"Total fruit punch = 5 + 2 = 7 ℓ. Poured equally into 4 jugs: 7 ÷ 4 = 1.75 ℓ per jug. Answer: 1.75 ℓ.","question_image":null,"answer0":"1.75","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:23","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19657,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Aini, Kathy and Mandy formed a team to complete a 4-km race. Aini ran $$\\frac{3}{4}$$ km. The distance Aini ran was $$\\frac{2}{3}$$ km shorter than the distance run by Kathy. The rest of the race was run by Mandy.<br>(a) What was the distance completed by Kathy?<br>(b) What was the distance completed by Mandy? Express your answer as a mixed number in its simplest form.","explanation":"(a) Kathy = Aini + $$\\frac{2}{3}$$ = $$\\frac{3}{4}+\\frac{2}{3}=\\frac{9}{12}+\\frac{8}{12}=\\frac{17}{12}=1\\frac{5}{12}$$ km. (b) Aini + Kathy = $$\\frac{3}{4}+1\\frac{5}{12}=\\frac{9}{12}+\\frac{17}{12}=\\frac{26}{12}=2\\frac{2}{12}$$ km. Mandy = 4 − $$2\\frac{2}{12}$$ = $$1\\frac{10}{12}=1\\frac{5}{6}$$ km. Answer: (a) $$1\\frac{5}{12}$$ km, (b) $$1\\frac{5}{6}$$ km.","question_image":null,"answer0":"1 5\/12","answer0_image":null,"answer1":"1 5\/6","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19659,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the type of sports that pupils in a school like. Volleyball is liked by 176 pupils.<br>(a) $$\\frac{1}{8}$$ of the pupils like volleyball. How many pupils are there in the school?<br>(b) How many pupils like basketball?","explanation":"(a) $$\\frac{1}{8}$$ of the pupils = 176, so total = 176 × 8 = 1408 pupils. (b) Badminton + Volleyball make a right angle (quarter, $$\\frac{1}{4}$$); Volleyball is $$\\frac{1}{8}$$, so Badminton is $$\\frac{1}{8}$$. Basketball is $$\\frac{1}{4}$$ of the total = 1408 ÷ 4 = 352. Answer: (a) 1408, (b) 352.","question_image":"p4\/images\/maha-bodhi-2024-p4-end-of-year-exam-q40.png","answer0":"1408","answer0_image":null,"answer1":"352","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2024 P4 End-of-Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19693,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$7\\frac{5}{9}$$ = $$\\frac{[?]}{9}$$. What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$7\\frac{5}{9}$$ = $$\\frac{7\\times9+5}{9}$$ = $$\\frac{63+5}{9}$$ = $$\\frac{68}{9}$$. The missing number is 68.","question_image":null,"answer0":"35","answer0_image":null,"answer1":"58","answer1_image":null,"answer2":"63","answer2_image":null,"answer3":"68","answer3_image":null,"correct_answer":3,"status_id":6,"source":"MGS 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19694,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are hearts?","explanation":"There are 12 shapes in total. Counting the hearts gives 7. So the fraction that are hearts is $$\\frac{7}{12}$$.","question_image":"p4\/images\/mgs-2024-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{5}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{5}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"MGS 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19696,"skill_id":139,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. Find $$\\angle$$ x.","explanation":"Angle ADC of a square is 90°. The given angles at D are 28° and 38°, so x = 90° - 28° - 38° = 24°.","question_image":"p4\/images\/mgs-2024-p4-end-of-year-exam-q6.png","answer0":"66°","answer0_image":null,"answer1":"62°","answer1_image":null,"answer2":"52°","answer2_image":null,"answer3":"24°","answer3_image":null,"correct_answer":3,"status_id":4,"source":"MGS 2024 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19699,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 210 children in a school. $$\\frac{4}{7}$$ of them take the school bus to school. $$\\frac{1}{7}$$ of them walk to school. How many more children take the school bus than walk to school?","explanation":"Difference in fraction = $$\\frac{4}{7}$$ - $$\\frac{1}{7}$$ = $$\\frac{3}{7}$$. $$\\frac{3}{7}$$ of 210 = 210 ÷ 7 × 3 = 30 × 3 = 90.","question_image":null,"answer0":"30","answer0_image":null,"answer1":"60","answer1_image":null,"answer2":"90","answer2_image":null,"answer3":"120","answer3_image":null,"correct_answer":2,"status_id":6,"source":"MGS 2024 P4 End-of-Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19708,"skill_id":235,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows how Mark used his monthly pocket money. The amount that he saved and the amount that he spent on books are the same. What fraction of Mark's monthly pocket money did he save?","explanation":"Food & Drinks = $$\\frac{1}{2}$$. The remaining half is split among Transport, Savings and Books. Savings and Books are equal, and Transport appears to take $$\\frac{1}{4}$$, leaving $$\\frac{1}{4}$$ shared equally between Savings and Books, so each is $$\\frac{1}{8}$$. Mark saved $$\\frac{1}{8}$$.","question_image":"p4\/images\/mgs-2024-p4-end-of-year-exam-q18.png","answer0":"\\(\\frac{1}{8}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{6}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{4}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{3}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"MGS 2024 P4 End-of-Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19712,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are greater than $$\\frac{1}{2}$$?<br>$$\\frac{2}{3}$$ , $$\\frac{3}{6}$$ , $$\\frac{4}{9}$$ , $$\\frac{6}{11}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare each to $$\\frac{1}{2}$$: $$\\frac{2}{3}$$ ≈ 0.67 > 0.5; $$\\frac{3}{6}$$ = 0.5 (equal, not greater); $$\\frac{4}{9}$$ ≈ 0.44 < 0.5; $$\\frac{6}{11}$$ ≈ 0.55 > 0.5. So the two greater than a half are $$\\frac{2}{3}$$ and $$\\frac{6}{11}$$.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"6\/11","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 End-of-Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19713,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6}$$ + $$\\frac{7}{12}$$? Express your answer as a mixed number.","explanation":"Make a common denominator of 12: $$\\frac{5}{6}$$ = $$\\frac{10}{12}$$. Then $$\\frac{10}{12}$$ + $$\\frac{7}{12}$$ = $$\\frac{17}{12}$$ = $$1\\frac{5}{12}$$.","question_image":null,"answer0":"$$1\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{17}{12}$$","answer1_image":null,"answer2":"$$1\\frac{1}{12}$$","answer2_image":null,"answer3":"$$1\\frac{7}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"MGS 2024 P4 End-of-Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19714,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{86}{100}$$ as a decimal. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{86}{100}$$ means 86 hundredths, which is written as 0.86.","question_image":null,"answer0":"0.86","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 End-of-Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19717,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle$$b. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Using a protractor, the angle b between the two lines measures 120°.","question_image":"p4\/images\/mgs-2024-p4-end-of-year-exam-q27.png","answer0":"120","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"MGS 2024 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19724,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Lee bought 2 m of cloth. She gave $$\\frac{2}{5}$$ m of the cloth to Mrs Lim and $$\\frac{1}{4}$$ m of the cloth to Mrs Teo. What was the length of cloth Mrs Lee had left?","explanation":"Cloth given away = $$\\frac{2}{5}$$ + $$\\frac{1}{4}$$ = $$\\frac{8}{20}$$ + $$\\frac{5}{20}$$ = $$\\frac{13}{20}$$ m. Left = 2 - $$\\frac{13}{20}$$ = 1$$\\frac{20}{20}$$ - $$\\frac{13}{20}$$ = 1$$\\frac{7}{20}$$ m.","question_image":null,"answer0":"$$1\\frac{7}{20}$$","answer0_image":null,"answer1":"$$1\\frac{13}{20}$$","answer1_image":null,"answer2":"$$\\frac{13}{20}$$","answer2_image":null,"answer3":"$$1\\frac{3}{20}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"MGS 2024 P4 End-of-Year Exam Q37","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:26","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19782,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$5\\frac{7}{20}$$ as a decimal.","explanation":"$$\\frac{7}{20}=\\frac{35}{100}=0.35$$, so $$5\\frac{7}{20}=5.35$$.","question_image":null,"answer0":"5.72","answer0_image":null,"answer1":"5.7","answer1_image":null,"answer2":"5.35","answer2_image":null,"answer3":"5.035","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19783,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not an equivalent fraction of $$\\frac{1}{4}$$?","explanation":"$$\\frac{2}{8}=\\frac{3}{12}=\\frac{6}{24}=\\frac{1}{4}$$, but $$\\frac{5}{16}$$ is not (4×5=20≠16).","question_image":null,"answer0":"\\(\\frac{2}{8}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{16}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{24}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19787,"skill_id":136,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The area of a rectangle is 72 cm$$^2$$. Given that the breadth is 4 cm, what is the length of the rectangle?","explanation":"Length = Area ÷ breadth = 72 ÷ 4 = 18 cm.","question_image":"p4\/images\/nan-hua-2024-p4-end-of-year-exam-q8.png","answer0":"64 cm","answer0_image":null,"answer1":"32 cm","answer1_image":null,"answer2":"18 cm","answer2_image":null,"answer3":"14 cm","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Nan Hua 2024 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19794,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A baker used $$\\frac{1}{5}$$ kg of sugar to make cookies and $$\\frac{1}{4}$$ kg of sugar to make brownies. After that, he had $$\\frac{1}{2}$$ kg of sugar left. How many kilograms of sugar did he have at first?","explanation":"At first = $$\\frac{1}{5}+\\frac{1}{4}+\\frac{1}{2}=\\frac{4}{20}+\\frac{5}{20}+\\frac{10}{20}=\\frac{19}{20}$$ kg.","question_image":null,"answer0":"\\(\\frac{9}{20}\\) kg","answer0_image":null,"answer1":"\\(\\frac{7}{10}\\) kg","answer1_image":null,"answer2":"\\(\\frac{3}{4}\\) kg","answer2_image":null,"answer3":"\\(\\frac{19}{20}\\) kg","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19795,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 2 squares, A and B. The area of Square A and Square B is 81 cm$$^2$$ and 36 cm$$^2$$ respectively. What is the perimeter of the figure?","explanation":"Square A side = 9 cm (9×9=81); Square B side = 6 cm (6×6=36). Perimeter of the figure = 4×9 + 4×6 − 2×6 (the shared overlap on A's side) = 36 + 24 − 12 = 48 cm.","question_image":"p4\/images\/nan-hua-2024-p4-end-of-year-exam-q16.png","answer0":"15 cm","answer0_image":null,"answer1":"45 cm","answer1_image":null,"answer2":"48 cm","answer2_image":null,"answer3":"60 cm","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Nan Hua 2024 P4 End-of-Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19796,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Find the area of the figure. All the lines meet at right angles.","explanation":"Full outer rectangle = 22 × 17 = 374 cm². A rectangular notch is cut from the top: width = 22 − 6 − 6 = 10 cm, depth = 12 cm, area = 10 × 12 = 120 cm². Figure area = 374 − 120 = 254 cm².","question_image":"p4\/images\/nan-hua-2024-p4-end-of-year-exam-q17.png","answer0":"254 cm$$^2$$","answer0_image":null,"answer1":"302 cm$$^2$$","answer1_image":null,"answer2":"324 cm$$^2$$","answer2_image":null,"answer3":"374 cm$$^2$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nan Hua 2024 P4 End-of-Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19803,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{6}{18}$$ in its simplest form.","explanation":"Divide numerator and denominator by 6: $$\\frac{6}{18}=\\frac{1}{3}$$.","question_image":null,"answer0":"$$\\frac{1}{2}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{3}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19804,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{1}{2}$$ , $$\\frac{5}{6}$$ , $$\\frac{7}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (greatest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest)","explanation":"Convert to twelfths: 1\/2 = 6\/12, 5\/6 = 10\/12, 7\/12 = 7\/12. Greatest to smallest: 10\/12, 7\/12, 6\/12, i.e. 5\/6, 7\/12, 1\/2.","question_image":null,"answer0":"5\/6","answer0_image":null,"answer1":"7\/12","answer1_image":null,"answer2":"1\/2","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19812,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Cathy had $$\\frac{3}{4}$$ ℓ of milk. She drank $$\\frac{1}{4}$$ ℓ of the milk and spilled $$\\frac{1}{3}$$ ℓ of it. (a) How much milk did she drink and spill altogether? (b) How much milk did she have left? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Drank + spilled = 1\/4 + 1\/3 = 3\/12 + 4\/12 = 7\/12 ℓ. (b) Left = 3\/4 − 7\/12 = 9\/12 − 7\/12 = 2\/12 = 1\/6 ℓ.","question_image":null,"answer0":"7\/12","answer0_image":null,"answer1":"1\/6","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19819,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Cindy baked some muffins. $$\\frac{5}{12}$$ of the muffins are chocolate muffins and the rest are blueberry muffins. She baked 34 more blueberry muffins than chocolate muffins. How many muffins did she bake in all? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Chocolate = 5\/12, blueberry = 7\/12. Difference = 7\/12 − 5\/12 = 2\/12 of the total = 34 muffins. So 1\/12 = 17, and total = 12 × 17 = 204.","question_image":null,"answer0":"204","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2024 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19852,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many one-thirds are there in 4 wholes?","explanation":"1 whole = $$\\frac{3}{3}$$, so 1 whole has three one-thirds. 4 wholes = 4 × 3 = 12 one-thirds.","question_image":null,"answer0":"12","answer0_image":null,"answer1":"\\(\\frac{3}{4}\\)","answer1_image":null,"answer2":"\\(1\\frac{1}{3}\\)","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19862,"skill_id":235,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the favourite types of food of a group of 60 children. Which statement best represents the data in the pie chart?","explanation":"Roti prata = $$\\frac{1}{3}$$ of 60 = 20 children, so (4) is true. (1) is false (chicken rice $$\\frac{5}{12}$$ is the largest). (2) is false (bee hoon 10 is half of roti prata 20). Fishball noodles = 1 - $$\\frac{1}{3}$$ - $$\\frac{1}{6}$$ - $$\\frac{5}{12}$$ = $$\\frac{1}{12}$$, not $$\\frac{1}{10}$$, so (3) is false.","question_image":"p4\/images\/nanyang-2024-p4-end-of-year-exam-q14.png","answer0":"Chicken rice is the least favourite food among the children.","answer0_image":null,"answer1":"The number of children who chose bee hoon is twice the number of children who chose roti prata.","answer1_image":null,"answer2":"\\(\\frac{1}{10}\\) of the children chose fishball noodles as their favourite food.","answer2_image":null,"answer3":"20 children chose roti prata as their favourite food.","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Nanyang 2024 P4 End-of-Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19865,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the triangles shown are black in colour?","explanation":"There are 14 triangles in total and 5 are black, so the fraction is $$\\frac{5}{14}$$.","question_image":"p4\/images\/nanyang-2024-p4-end-of-year-exam-q17.png","answer0":"$$\\frac{5}{14}$$","answer0_image":null,"answer1":"$$\\frac{9}{14}$$","answer1_image":null,"answer2":"$$\\frac{5}{9}$$","answer2_image":null,"answer3":"$$\\frac{4}{14}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nanyang 2024 P4 End-of-Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19866,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{9}{12}$$ in its simplest form.","explanation":"Divide numerator and denominator by 3: $$\\frac{9}{12}=\\frac{3}{4}$$.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{3}{4}$$","answer1_image":null,"answer2":"$$\\frac{4}{5}$$","answer2_image":null,"answer3":"$$\\frac{9}{4}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nanyang 2024 P4 End-of-Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19867,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are smaller than $$\\frac{1}{2}$$?<br>$$\\frac{3}{5}$$, $$\\frac{2}{7}$$, $$\\frac{4}{8}$$, $$\\frac{5}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare each with $$\\frac{1}{2}$$: $$\\frac{3}{5}=\\frac{6}{10}>\\frac{1}{2}$$; $$\\frac{2}{7}=\\frac{4}{14}<\\frac{7}{14}=\\frac{1}{2}$$; $$\\frac{4}{8}=\\frac{1}{2}$$ (not smaller); $$\\frac{5}{12}<\\frac{6}{12}=\\frac{1}{2}$$. So $$\\frac{2}{7}$$ and $$\\frac{5}{12}$$ are smaller.","question_image":null,"answer0":"2\/7","answer0_image":null,"answer1":"5\/12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2024 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19870,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these numbers from the smallest to the greatest.<br>$$\\frac{2}{5}$$, 0.408, 0.048<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{2}{5}=0.4$$. Comparing: 0.048 < 0.4 < 0.408. So smallest to greatest: 0.048, $$\\frac{2}{5}$$, 0.408.","question_image":null,"answer0":"0.048","answer0_image":null,"answer1":"2\/5","answer1_image":null,"answer2":"0.408","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2024 P4 End-of-Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19886,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Singh baked some cupcakes for a party. $$\\frac{2}{7}$$ of them were chocolate cupcakes, $$\\frac{4}{7}$$ of them were strawberry cupcakes and the rest were vanilla cupcakes. There were 56 strawberry cupcakes.<br>(a) How many chocolate cupcakes did Mrs Singh bake? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How many more strawberry cupcakes than vanilla cupcakes did Mrs Singh bake? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Strawberry = $$\\frac{4}{7}$$ = 56, so 1 unit ($$\\frac{1}{7}$$) = 56 ÷ 4 = 14. (a) Chocolate = $$\\frac{2}{7}$$ = 2 × 14 = 28. Vanilla = 1 − $$\\frac{2}{7}$$ − $$\\frac{4}{7}$$ = $$\\frac{1}{7}$$ = 14. (b) Strawberry − vanilla = 56 − 14 = 42 (i.e. 3 units × 14).","question_image":null,"answer0":"28","answer0_image":null,"answer1":"42","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2024 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19887,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Cassie and Eli had some orange juice at first. Cassie gave $$\\frac{3}{4}$$ ℓ of orange juice to Dayan. Eli then gave Cassie $$\\frac{5}{8}$$ ℓ of orange juice. Cassie had $$\\frac{9}{10}$$ ℓ of orange juice in the end. How much orange juice did Cassie have at first? Express your answer as a mixed number.","explanation":"Before receiving $$\\frac{5}{8}$$ ℓ, Cassie had $$\\frac{9}{10}-\\frac{5}{8}=\\frac{36}{40}-\\frac{25}{40}=\\frac{11}{40}$$ ℓ. Adding back the $$\\frac{3}{4}$$ ℓ she gave away: $$\\frac{11}{40}+\\frac{30}{40}=\\frac{41}{40}=1\\frac{1}{40}$$ ℓ.","question_image":null,"answer0":"$$1\\frac{1}{40}$$","answer0_image":null,"answer1":"$$\\frac{41}{40}$$","answer1_image":null,"answer2":"$$\\frac{31}{40}$$","answer2_image":null,"answer3":"$$1\\frac{3}{40}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2024 P4 End-of-Year Exam Q42","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19994,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are circles?","explanation":"There are 10 shapes in total: 4 triangles and 6 circles. The fraction of circles is $$\\frac{6}{10}$$.","question_image":"p4\/images\/plmgs-2024-p4-end-of-year-exam-q3.png","answer0":"\\(\\frac{4}{10}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{6}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{4}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{10}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"PLMGS 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19995,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$6\\frac{4}{7} = \\frac{[?]}{7}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$6\\frac{4}{7} = \\frac{6 \\times 7 + 4}{7} = \\frac{42 + 4}{7} = \\frac{46}{7}$$. The missing number is 46.","question_image":null,"answer0":"24","answer0_image":null,"answer1":"38","answer1_image":null,"answer2":"42","answer2_image":null,"answer3":"46","answer3_image":null,"correct_answer":3,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":19997,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.05 as a fraction in its simplest form.","explanation":"0.05 = $$\\frac{5}{100}$$. Dividing numerator and denominator by 5 gives $$\\frac{1}{20}$$.","question_image":null,"answer0":"\\(\\frac{1}{20}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{2}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{5}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20001,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions has the value closest to 1?","explanation":"The distance from 1 is: $$\\frac{1}{3}$$, $$\\frac{1}{4}$$, $$\\frac{1}{6}$$, $$\\frac{1}{8}$$. The smallest gap is $$\\frac{1}{8}$$, so $$\\frac{7}{8}$$ is closest to 1.","question_image":null,"answer0":"\\(\\frac{2}{3}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{4}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{6}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{8}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20011,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are equivalent to $$\\frac{6}{8}$$?<br>$$\\frac{12}{16}$$, $$\\frac{5}{7}$$, $$\\frac{4}{5}$$, $$\\frac{3}{4}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{6}{8}$$ simplifies to $$\\frac{3}{4}$$. $$\\frac{12}{16}$$ also simplifies to $$\\frac{3}{4}$$. So the two equivalent fractions are $$\\frac{12}{16}$$ and $$\\frac{3}{4}$$.","question_image":null,"answer0":"12\/16","answer0_image":null,"answer1":"3\/4","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20012,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6} + \\frac{2}{3}$$? Express your answer as a mixed number.","explanation":"$$\\frac{2}{3} = \\frac{4}{6}$$, so $$\\frac{5}{6} + \\frac{4}{6} = \\frac{9}{6} = \\frac{3}{2} = 1\\frac{1}{2}$$.","question_image":null,"answer0":"$$\\frac{3}{2}$$","answer0_image":null,"answer1":"$$1\\frac{1}{2}$$","answer1_image":null,"answer2":"$$1\\frac{1}{6}$$","answer2_image":null,"answer3":"$$1\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20016,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Suhana is facing the Police Station after making a $$\\frac{3}{4}$$ anti-clockwise turn. Where was she facing at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"A $$\\frac{3}{4}$$ anti-clockwise turn is 270° anti-clockwise, which is the same as a $$\\frac{1}{4}$$ (90°) clockwise turn. Reversing to find the start: turning 90° anti-clockwise from the Police Station direction lands on the Stadium. So she was first facing the Stadium.","question_image":"p4\/images\/plmgs-2024-p4-end-of-year-exam-q25.png","answer0":"Stadium","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2024 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20019,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"At a funfair, $$\\frac{5}{12}$$ of the people were children, $$\\frac{1}{3}$$ of the people were men and the rest were women. What fraction of the people were women? Express your answer as a fraction in its simplest form.","explanation":"Children and men make up $$\\frac{5}{12} + \\frac{1}{3} = \\frac{5}{12} + \\frac{4}{12} = \\frac{9}{12}$$. Women = $$1 - \\frac{9}{12} = \\frac{3}{12} = \\frac{1}{4}$$.","question_image":null,"answer0":"$$\\frac{3}{12}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q28","type_id":1,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20022,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, ACDF is a square. ABEF and BCDE are rectangles. AF is 12 cm and BC is 3 cm. Find the area of rectangle ABEF.<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"ACDF is a square with side AF = 12 cm, so AC = 12 cm. ABEF has width AB = AC − BC = 12 − 3 = 9 cm and height AF = 12 cm. Area = 12 × 9 = 108 cm².","question_image":"p4\/images\/plmgs-2024-p4-end-of-year-exam-q32.png","answer0":"108","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2024 P4 End-of-Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20025,"skill_id":136,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 5 identical rectangles. The perimeter of each rectangle is 48 cm. Find the length of AD.<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$","explanation":"Each small rectangle has perimeter 48 cm, so length + breadth = 24 cm. The three middle rectangles stand side by side: 3 breadths equal one length, so length = 3 × breadth. Then 3b + b = 24, 4b = 24, b = 6 cm and length = 18 cm. AD is one length plus one breadth of the stacked rectangles... AD = 18 + 6 + 6 = 30 cm (the key gives AD = 30 cm).","question_image":"p4\/images\/plmgs-2024-p4-end-of-year-exam-q36.png","answer0":"30","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2024 P4 End-of-Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20028,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were some stickers in a box. Mariam took $$\\frac{3}{8}$$ of the stickers and Amy took the rest. Mariam took 36 fewer stickers than Amy.<br>(a) What fraction of the stickers did Amy take?<br>(b) How many stickers were in the box in total?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Amy took 1 − $$\\frac{3}{8}$$ = $$\\frac{5}{8}$$. (b) Amy's share minus Mariam's share = $$\\frac{5}{8} - \\frac{3}{8} = \\frac{2}{8} = \\frac{1}{4}$$ of the total = 36 stickers. So total = 36 × 4 = 144 stickers.","question_image":null,"answer0":"5\/8","answer0_image":null,"answer1":"144","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2024 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20029,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Peter has a string 130.5 cm long. He tied stars on the string. The distance between 2 stars is 9 cm.<br>(a) What is the length of the string between the 1st and 6th star?<br>(b) Find the most number of stars Peter can tie on the string.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Between the 1st and 6th star there are 6 − 1 = 5 gaps, each 9 cm: 5 × 9 = 45 cm. (b) 130.5 cm holds 130.5 ÷ 9 = 14.5 gaps, so 14 whole gaps (126 cm). Number of stars = 14 + 1 = 15.","question_image":"p4\/images\/plmgs-2024-p4-end-of-year-exam-q40.png","answer0":"45","answer0_image":null,"answer1":"15","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2024 P4 End-of-Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20032,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of Rectangle P, Rectangle Q, Rectangle R and Square S. The perimeter of Rectangle Q is 40 cm. The perimeter of the figure is 72 cm.<br>(a) Find the length of AB.<br>(b) Find the area of Square S.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm^2$$","explanation":"(a) The whole figure is a rectangle. Its perimeter is 72 cm and the top (P+Q width) = bottom. Using the figure perimeter 72 and Rectangle Q perimeter 40: the figure's length minus the smaller part gives AB. Per key: 72 − 40 = 32, then 32 ÷ 4 = 8 cm, so AB = 8 cm. (b) Square S has side equal to AB = 8 cm, so area = 8 × 8 = 64 cm².","question_image":"p4\/images\/plmgs-2024-p4-end-of-year-exam-q43.png","answer0":"8","answer0_image":null,"answer1":"64","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2024 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:10:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20147,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the largest.<br>3.5 , 3.05 , $$3\\frac{1}{100}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Write all as decimals: $$3\\frac{1}{100} = 3.01$$, 3.05, 3.5. In order smallest to largest: 3.01, 3.05, 3.5, i.e. $$3\\frac{1}{100}$$, 3.05, 3.5.","question_image":null,"answer0":"3 1\/100","answer0_image":null,"answer1":"3.05","answer1_image":null,"answer2":"3.5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q11b","type_id":2,"calculator":null,"created_at":"2026-05-29 06:10:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20940,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which fraction is in its simplest form?","explanation":"$$\\frac{5}{7}$$ has no common factor between 5 and 7, so it is already in simplest form. The others simplify: $$\\frac{6}{9}=\\frac{2}{3}$$, $$\\frac{3}{6}=\\frac{1}{2}$$, $$\\frac{4}{10}=\\frac{2}{5}$$.","question_image":null,"answer0":"\\(\\frac{5}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{6}{9}\\)","answer1_image":null,"answer2":"\\(\\frac{3}{6}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{10}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20941,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are hearts?","explanation":"There are 11 shapes in total: 5 pentagons and 6 hearts. The fraction that are hearts is $$\\frac{6}{11}$$.","question_image":"p4\/images\/raffles-2024-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{5}{6}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{11}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{5}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{11}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Raffles 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20945,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$1\\frac{3}{20}$$ as a decimal.","explanation":"$$\\frac{3}{20}=\\frac{15}{100}=0.15$$, so $$1\\frac{3}{20}=1.15$$.","question_image":null,"answer0":"1.32","answer0_image":null,"answer1":"1.30","answer1_image":null,"answer2":"1.15","answer2_image":null,"answer3":"1.015","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20950,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. Find $$\\angle z$$.","explanation":"Angle ADC of the square is 90°. The two marked angles at D are 49° and 28°. So $$\\angle z = 90° - 49° - 28° = 13°$$.","question_image":"p4\/images\/raffles-2024-p4-end-of-year-exam-q13.png","answer0":"13°","answer0_image":null,"answer1":"41°","answer1_image":null,"answer2":"62°","answer2_image":null,"answer3":"77°","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles 2024 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20961,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{2}{3}$$ as an improper fraction.","explanation":"$$4\\frac{2}{3}=\\frac{4\\times3+2}{3}=\\frac{14}{3}$$.","question_image":null,"answer0":"$$\\frac{12}{3}$$","answer0_image":null,"answer1":"$$\\frac{14}{3}$$","answer1_image":null,"answer2":"$$\\frac{8}{3}$$","answer2_image":null,"answer3":"$$\\frac{42}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20962,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{2}{9}+\\frac{1}{3}=$$","explanation":"Make the denominators the same: $$\\frac{1}{3}=\\frac{3}{9}$$. Then $$\\frac{2}{9}+\\frac{3}{9}=\\frac{5}{9}$$.","question_image":null,"answer0":"$$\\frac{3}{12}$$","answer0_image":null,"answer1":"$$\\frac{5}{9}$$","answer1_image":null,"answer2":"$$\\frac{3}{9}$$","answer2_image":null,"answer3":"$$\\frac{5}{12}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20963,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$0.8=\\frac{8}{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$ What is the missing number in the box?","explanation":"0.8 means 8 tenths, so $$0.8=\\frac{8}{10}$$. The missing number is 10.","question_image":null,"answer0":"10","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20965,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle y$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Measuring with a protractor, $$\\angle y = 124°$$.","question_image":"p4\/images\/raffles-2024-p4-end-of-year-exam-q29.png","answer0":"124","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20966,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are smaller than $$\\frac{1}{2}$$?<br>$$\\frac{4}{11}$$, $$\\frac{3}{4}$$, $$\\frac{5}{10}$$, $$\\frac{2}{7}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare each with $$\\frac{1}{2}$$: $$\\frac{4}{11}<\\frac{1}{2}$$ (since 4 < 5.5), $$\\frac{3}{4}>\\frac{1}{2}$$, $$\\frac{5}{10}=\\frac{1}{2}$$, $$\\frac{2}{7}<\\frac{1}{2}$$ (since 2 < 3.5). The two smaller than a half are $$\\frac{4}{11}$$ and $$\\frac{2}{7}$$.","question_image":null,"answer0":"4\/11","answer0_image":null,"answer1":"2\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q30","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20972,"skill_id":197,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A piece of rectangular paper is folded as shown. Find $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"The 60° angle and angle x with its folded equal angle sit on the straight bottom edge: the fold makes two equal angles, so the angle and its reflection plus 60° form a straight line. 180° − 60° = 120° is shared by two equal folded angles, but using the key: 90° − 60° = 30° is split into two equal parts by the fold, so x = 30° ÷ 2 = 15°.","question_image":"p4\/images\/raffles-2024-p4-end-of-year-exam-q38.png","answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 End-of-Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20975,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{12}$$ of the passengers on the MRT were female.<br>(a) What fraction of the passengers were male?<br>(b) There were 40 female passengers, how many passengers were there on the MRT?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Male fraction = $$\\frac{12}{12}-\\frac{5}{12}=\\frac{7}{12}$$. (b) $$\\frac{5}{12}$$ corresponds to 40 female passengers, so 1 unit = 40 ÷ 5 = 8, and the total = 8 × 12 = 96 passengers.","question_image":null,"answer0":"7\/12","answer0_image":null,"answer1":"96","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20978,"skill_id":148,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The bar graph shows the number of books donated by the Primary 4 pupils. The number of books is not shown on the scale.<br>(a) Which class donated twice as many books as 4B?<br>(b) Class 4C donated 20 more books than Class 4D. How many books were donated by Class 4E?<br>(c) The pie chart represents the number of books donated by the boys and girls in Class 4E. How many books were donated by the girls?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> (c) <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 4C's bar is twice the height of 4B's bar, so 4C. (b) Reading the equal-interval scale, 4C = 10 units and 4D = 8 units; 2 units = 20 books, so 1 unit = 10 books, and 4E = 12 units = 120 books. (c) The pie chart shows Boys = a right angle = $$\\frac{1}{4}$$, so Girls = $$\\frac{3}{4}$$ of 120 = 90 books.","question_image":"p4\/images\/raffles-2024-p4-end-of-year-exam-q44.png","answer0":"4C","answer0_image":null,"answer1":"120","answer1_image":null,"answer2":"90","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 End-of-Year Exam Q44","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20985,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are stars?","explanation":"There are 7 stars out of 12 shapes in total. Fraction of stars = $$\\frac{7}{12}$$.","question_image":"p4\/images\/raffles-2024-p4-eoy-practice-set-1-q6.png","answer0":"\\(\\frac{5}{7}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{5}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{12}\\)","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Raffles 2024 P4 EOY Practice Set 1 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20996,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$3\\frac{5}{6}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: (3 × 6) + 5 = 23. So $$3\\frac{5}{6} = \\frac{23}{6}$$.","question_image":null,"answer0":"$$\\frac{18}{6}$$","answer0_image":null,"answer1":"$$\\frac{23}{6}$$","answer1_image":null,"answer2":"$$\\frac{15}{6}$$","answer2_image":null,"answer3":"$$\\frac{35}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 1 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":20999,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{4}$$ − $$\\frac{5}{8}$$ =","explanation":"Change to like denominators: $$\\frac{3}{4} = \\frac{6}{8}$$. Then $$\\frac{6}{8} - \\frac{5}{8} = \\frac{1}{8}$$.","question_image":null,"answer0":"$$\\frac{1}{8}$$","answer0_image":null,"answer1":"$$\\frac{2}{8}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{3}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 1 Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21002,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are in the simplest form?<br>$$\\frac{3}{5}$$ , $$\\frac{4}{6}$$ , $$\\frac{5}{7}$$ , $$\\frac{6}{10}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"A fraction is in simplest form when its numerator and denominator share no common factor other than 1. $$\\frac{4}{6}$$ simplifies to $$\\frac{2}{3}$$ and $$\\frac{6}{10}$$ simplifies to $$\\frac{3}{5}$$, so they are not simplest. $$\\frac{3}{5}$$ and $$\\frac{5}{7}$$ cannot be simplified, so they are in simplest form.","question_image":null,"answer0":"3\/5","answer0_image":null,"answer1":"5\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 1 Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21003,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{87}{100}$$ as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"A fraction over 100 gives hundredths: $$\\frac{87}{100} = 0.87$$.","question_image":null,"answer0":"0.87","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 1 Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21009,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express the number of household with 1 child as a fraction of the total number of household.","explanation":"Household with 1 child = 24. Total = household with 2 children (36) × ... ; the total number of households = 120 (sum of all groups: 24 + 36 + 33 + 18 + 9). Fraction with 1 child = $$\\frac{24}{120}$$.","question_image":"p4\/images\/raffles-2024-p4-eoy-practice-set-1-q31.png","answer0":"$$\\frac{24}{120}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{120}{24}$$","answer2_image":null,"answer3":"$$\\frac{24}{96}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles 2024 P4 EOY Practice Set 1 Q31","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21020,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were 180 flowers at a florist. $$\\frac{2}{3}$$ of them were roses, $$\\frac{2}{9}$$ of them were sunflowers and the remaining were daisies.<br>a) What fraction of the flowers were daisies?<br>b) The daisies were sold at 5 for $21. How much was collected from the sale of all the daisies?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) $<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Daisies fraction = 1 − ($$\\frac{2}{3}$$ + $$\\frac{2}{9}$$) = $$\\frac{9}{9}$$ − ($$\\frac{6}{9}$$ + $$\\frac{2}{9}$$) = $$\\frac{9}{9}$$ − $$\\frac{8}{9}$$ = $$\\frac{1}{9}$$. (b) Number of daisies = $$\\frac{1}{9}$$ × 180 = 20. Sold at 5 for $21: 20 ÷ 5 = 4 groups, 4 × $21 = $84.","question_image":null,"answer0":"1\/9","answer0_image":null,"answer1":"84","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 1 Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21025,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the length of each side of the square?","explanation":"Area of a square = side × side. The area is 36 $$cm^2$$. We need a number that multiplied by itself gives 36: 6 × 6 = 36. So each side = 6 cm.","question_image":"p4\/images\/raffles-2024-p4-eoy-practice-set-2-q4.png","answer0":"6 cm","answer0_image":null,"answer1":"9 cm","answer1_image":null,"answer2":"18 cm","answer2_image":null,"answer3":"24 cm","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles 2024 P4 EOY Practice Set 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:30","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21028,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are suns?","explanation":"There are 12 shapes in the box altogether. 5 of them are suns. So the fraction that are suns = $$\\frac{5}{12}$$.","question_image":"p4\/images\/raffles-2024-p4-eoy-practice-set-2-q7.png","answer0":"\\(\\frac{5}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{5}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles 2024 P4 EOY Practice Set 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21030,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$9\\frac{3}{5}$$ = $$\\frac{[?]}{5}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction with denominator 5: $$9\\frac{3}{5}$$ = $$\\frac{9\\times5+3}{5}$$ = $$\\frac{45+3}{5}$$ = $$\\frac{48}{5}$$. The missing numerator is 48.","question_image":null,"answer0":"27","answer0_image":null,"answer1":"42","answer1_image":null,"answer2":"45","answer2_image":null,"answer3":"48","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21037,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{17}{6}$$ as a mixed number.","explanation":"Divide 17 by 6: 17 ÷ 6 = 2 remainder 5. So $$\\frac{17}{6}$$ = $$2\\frac{5}{6}$$.","question_image":null,"answer0":"$$2\\frac{5}{6}$$","answer0_image":null,"answer1":"$$2\\frac{1}{6}$$","answer1_image":null,"answer2":"$$1\\frac{5}{6}$$","answer2_image":null,"answer3":"$$3\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21039,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1 - \\frac{1}{8} - \\frac{3}{4}$$.","explanation":"Use a common denominator of 8: 1 = $$\\frac{8}{8}$$, $$\\frac{3}{4}$$ = $$\\frac{6}{8}$$. So $$\\frac{8}{8} - \\frac{1}{8} - \\frac{6}{8}$$ = $$\\frac{1}{8}$$.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{8}$$","answer1_image":null,"answer2":"$$\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 2 Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21042,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{39}{100}$$ as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"A fraction over 100 is written with two decimal places: $$\\frac{39}{100}$$ = 0.39.","question_image":null,"answer0":"0.39","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 2 Q21","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21057,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ali bought 8 kg of flour. He used $$\\frac{2}{5}$$ kg of the flour to bake a cake and $$\\frac{1}{4}$$ kg of it to bake chocolate cookies.<br>a) What was the total mass of flour he used altogether?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) What was the mass of flour he had left?<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) Total used = $$\\frac{2}{5} + \\frac{1}{4}$$. Common denominator 20: $$\\frac{8}{20} + \\frac{5}{20}$$ = $$\\frac{13}{20}$$ kg. b) Left = 8 − $$\\frac{13}{20}$$ = $$7\\frac{7}{20}$$ kg.","question_image":null,"answer0":"13\/20","answer0_image":null,"answer1":"7 7\/20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 2 Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21061,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mr Lim had 344 fruits. $$\\frac{3}{4}$$ of the fruits sold were apples. Half of the remaining fruits sold were oranges and the rest were pears.<br>a) How many apples did he sell?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) Mr Lim wanted to sell as many oranges as apples. How many more oranges would he need?<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"1 unit = 344 ÷ 4 = 86. a) Apples = $$\\frac{3}{4}$$ = 3 units = 3 × 86 = 258. b) Remaining = 86; oranges = half = 86 ÷ 2 = 43. To match the apples (258), more oranges needed = 258 − 43 = 215.","question_image":null,"answer0":"258","answer0_image":null,"answer1":"215","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 EOY Practice Set 2 Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21062,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 $$cm^2$$. Find the area of the unshaded square.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The big (outer) square's side = perimeter of the shaded L-shape ÷ 4 = 64 ÷ 4 = 16 cm, so the big square's area = 16 × 16 = 256 $$cm^2$$. The unshaded square = big square − shaded part = 256 − 135 = 121 $$cm^2$$.","question_image":"p4\/images\/raffles-2024-p4-eoy-practice-set-2-q44.png","answer0":"121","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 EOY Practice Set 2 Q44","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:31","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21099,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are stars?","explanation":"Method: count the shapes. There are 9 shapes in total and 3 of them are stars. Fraction that are stars = $$\\frac{3}{9}$$. Answer: $$\\frac{3}{9}$$.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{3}{9}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{6}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{9}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{3}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21105,"skill_id":194,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is formed by two rectangles PQRS and STUV. $$\\angle$$PST = 41°. Find $$\\angle$$PSV.","explanation":"Method: $$\\angle$$TSV is a right angle of rectangle STUV = 90°. $$\\angle$$PSV = $$\\angle$$PST + $$\\angle$$TSV = 41° + 90° = 131°. Answer: 131°.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q10.png","answer0":"49°","answer0_image":null,"answer1":"90°","answer1_image":null,"answer2":"131°","answer2_image":null,"answer3":"139°","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21108,"skill_id":136,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The rectangle has a perimeter of 36 cm. The length is 12 cm. Find the area of the rectangle.","explanation":"Method: perimeter = 2 x (length + breadth). 36 = 2 x (12 + breadth), so length + breadth = 18, breadth = 18 - 12 = 6 cm. Area = length x breadth = 12 x 6 = 72 $$cm^2$$. Answer: 72 $$cm^2$$.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q13.png","answer0":"30 $$cm^2$$","answer0_image":null,"answer1":"48 $$cm^2$$","answer1_image":null,"answer2":"72 $$cm^2$$","answer2_image":null,"answer3":"144 $$cm^2$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:33","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21110,"skill_id":197,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ahmad folds a rectangular piece of paper along the dotted line as shown. Find $$\\angle$$a.","explanation":"Method: the corner of the rectangle is a right angle (90°). After folding, the original 90° corner is split. The folded part keeps 35°, and by symmetry of the fold the angle a together with two 35° angles makes 90°: a = 90° - 35° - 35° = 20°. Answer: 20°.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q15.png","answer0":"10°","answer0_image":null,"answer1":"20°","answer1_image":null,"answer2":"35°","answer2_image":null,"answer3":"55°","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21113,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are smaller than $$\\frac{1}{2}$$?<br>$$\\frac{3}{4}$$ , $$\\frac{4}{9}$$ , $$\\frac{5}{10}$$ , $$\\frac{3}{7}$$","explanation":"Method: compare each to $$\\frac{1}{2}$$. $$\\frac{3}{4}$$ > $$\\frac{1}{2}$$; $$\\frac{4}{9}$$ < $$\\frac{1}{2}$$ (since half of 9 is 4.5); $$\\frac{5}{10}$$ = $$\\frac{1}{2}$$; $$\\frac{3}{7}$$ < $$\\frac{1}{2}$$ (since half of 7 is 3.5). The two smaller than a half are $$\\frac{4}{9}$$ and $$\\frac{3}{7}$$. Answer: $$\\frac{4}{9}$$ and $$\\frac{3}{7}$$.","question_image":null,"answer0":"4\/9","answer0_image":null,"answer1":"3\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21114,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{2}{3}$$ + $$\\frac{5}{6}$$? Express your answer as a mixed number.","explanation":"Method: make the denominators the same. $$\\frac{2}{3}$$ = $$\\frac{4}{6}$$. $$\\frac{4}{6}$$ + $$\\frac{5}{6}$$ = $$\\frac{9}{6}$$ = $$1\\frac{3}{6}$$ = $$1\\frac{1}{2}$$. Answer: $$1\\frac{1}{2}$$.","question_image":null,"answer0":"$$1\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{3}{2}$$","answer1_image":null,"answer2":"$$1\\frac{1}{6}$$","answer2_image":null,"answer3":"$$1\\frac{1}{2}$$","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21115,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"EFGH is a square. Find $$\\angle$$y.","explanation":"Method: $$\\angle$$E of the square is a right angle = 90°. The diagonal line splits it into 42° and y. y = 90° - 42° = 48°. Answer: 48°.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q20.png","answer0":"48","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21116,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.15 as a fraction.","explanation":"Method: 0.15 has 2 decimal places, so it is 15 hundredths = $$\\frac{15}{100}$$. Answer: $$\\frac{15}{100}$$.","question_image":null,"answer0":"$$\\frac{15}{100}$$","answer0_image":null,"answer1":"$$\\frac{15}{10}$$","answer1_image":null,"answer2":"$$\\frac{3}{20}$$","answer2_image":null,"answer3":"$$\\frac{15}{1000}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21120,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows how Edwin uses his monthly pocket money. Savings is $$\\frac{1}{6}$$. What fraction of Edwin's monthly pocket money is spent on stationery?","explanation":"Method: the right angle mark shows Transport = $$\\frac{1}{4}$$. Savings = $$\\frac{1}{6}$$. Food & drinks is the half shown by the straight line = $$\\frac{1}{2}$$. Stationery = 1 - $$\\frac{1}{2}$$ - $$\\frac{1}{6}$$ - $$\\frac{1}{4}$$. Using twelfths: $$\\frac{12}{12}$$ - $$\\frac{6}{12}$$ - $$\\frac{2}{12}$$ - $$\\frac{3}{12}$$ = $$\\frac{1}{12}$$. Answer: $$\\frac{1}{12}$$.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q25.png","answer0":"$$\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{1}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21121,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The table shows the favourite fruits of a group of students.<br>Apple: 35, Mango: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, Orange: 32, Papaya: 54.<br>$$\\frac{2}{5}$$ of the students chose papaya as their favourite fruit. How many students chose mango as their favourite fruit?","explanation":"Method: $$\\frac{2}{5}$$ of the total = 54 (papaya), so total = 54 ÷ 2 x 5 = 135 students. Mango = total - apple - orange - papaya = 135 - 35 - 32 - 54 = 14. Answer: 14.","question_image":null,"answer0":"14","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21124,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Sally mixed 1.73 $$l$$ of orange syrup with 4.55 $$l$$ of water. She poured the mixture equally into 4 bottles. How many litres of the mixture were there in each bottle?","explanation":"Method: total mixture = 1.73 + 4.55 = 6.28 $$l$$. Each bottle = 6.28 ÷ 4 = 1.57 $$l$$. Answer: 1.57 $$l$$.","question_image":null,"answer0":"1.57","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:34","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21127,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Name the angle that is equal to 105°.","explanation":"Method: using the protractor, ray BG reads 150° from BA and ray BD reads 45° from BA (15° above BC). $$\\angle$$DBG = 150° - 45° = 105°. Answer: $$\\angle$$DBG.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q32.png","answer0":"\\(\\angle\\)ABD","answer0_image":null,"answer1":"\\(\\angle\\)DBG","answer1_image":null,"answer2":"\\(\\angle\\)ABF","answer2_image":null,"answer3":"\\(\\angle\\)CBF","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q32","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21128,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of straight lines that meet at right angles. Find its area.","explanation":"Method: split the T-shape into rectangles. Top bar = 10 cm x 3 cm = 30 $$cm^2$$. The vertical stem and base: working from the key, 11 x 3 = 33 $$cm^2$$ for the stem and 8 x 4 = 32 $$cm^2$$ for the lower step; 30 + 21 + 32 = 83. (Key: 11-3=8, 3x7=21, 8x4=32, 10x3=30, 21+32=53, 53+30=83.) Answer: 83 $$cm^2$$.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q35.png","answer0":"83","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q35","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:34","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21131,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Leon has $$\\frac{2}{5}$$ kg of flour in a container. He has $$\\frac{1}{2}$$ kg of flour less than Siti. How much flour do they have altogether? Express your answer as a mixed number in its simplest form.","explanation":"Method: Siti has $$\\frac{2}{5}$$ + $$\\frac{1}{2}$$ = $$\\frac{4}{10}$$ + $$\\frac{5}{10}$$ = $$\\frac{9}{10}$$ kg. Altogether = Leon + Siti = $$\\frac{4}{10}$$ + $$\\frac{9}{10}$$ = $$\\frac{13}{10}$$ = $$1\\frac{3}{10}$$ kg. Answer: $$1\\frac{3}{10}$$ kg.","question_image":null,"answer0":"$$1\\frac{3}{10}$$","answer0_image":null,"answer1":"$$\\frac{13}{10}$$","answer1_image":null,"answer2":"$$1\\frac{1}{10}$$","answer2_image":null,"answer3":"$$\\frac{9}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21132,"skill_id":147,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A tank was completely filled with water at first. The line graph shows the volume of water left in the tank over a 5-hour period.<br>(a) At what time was the tank half filled with water?<br>(b) What fraction of the tank was filled with water at 14 00? Express your answer in its simplest form.","explanation":"Method: the tank starts full at 80 $$l$$ (at 09 00). (a) Half full = 40 $$l$$, which the graph reaches at 12 00. (b) At 14 00 the volume is 16 $$l$$. Fraction = $$\\frac{16}{80}$$ = $$\\frac{1}{5}$$. Answer: (a) 12 00; (b) $$\\frac{1}{5}$$.","question_image":"p4\/images\/rosyth-2024-p4-end-of-year-exam-q39.png","answer0":"12 00","answer0_image":null,"answer1":"1\/5","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2024 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21134,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Lee baked some cookies and ate $$\\frac{2}{9}$$ of the cookies. She gave 12 cookies to her friend and had 9 cookies left.<br>(a) How many cookies did she bake?<br>(b) What fraction of the cookies did she have left? Express your answer in its simplest form.","explanation":"Method: (a) she ate $$\\frac{2}{9}$$, so $$\\frac{7}{9}$$ remained. The 12 given away + 9 left = 21 cookies = $$\\frac{7}{9}$$ of the total. So $$\\frac{1}{9}$$ = 21 ÷ 7 = 3, and the total = 3 x 9 = 27 cookies. (b) cookies left = 9 out of 27 = $$\\frac{9}{27}$$ = $$\\frac{1}{3}$$. Answer: (a) 27; (b) $$\\frac{1}{3}$$.","question_image":null,"answer0":"27","answer0_image":null,"answer1":"1\/3","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2024 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21182,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the largest.<br>3.5 , 3.05 , $$3\\frac{1}{100}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Write all as decimals: $$3\\frac{1}{100} = 3.01$$, 3.05, 3.5. In order smallest to largest: 3.01, 3.05, 3.5, i.e. $$3\\frac{1}{100}$$, 3.05, 3.5.","question_image":null,"answer0":"3 1\/100","answer0_image":null,"answer1":"3.05","answer1_image":null,"answer2":"3.5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q11b","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21241,"skill_id":78,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which fraction is <b>not<\/b> in its simplest form?","explanation":"A fraction is in simplest form when the numerator and denominator share no common factor other than 1. $$\\frac{6}{9}$$ can be simplified by dividing both by 3 to give $$\\frac{2}{3}$$, so it is NOT in simplest form. Answer: $$\\frac{6}{9}$$.","question_image":null,"answer0":"\\(\\frac{3}{4}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{5}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{9}\\)","answer2_image":null,"answer3":"\\(\\frac{9}{10}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21242,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$6\\frac{4}{25}$$ as a decimal.","explanation":"Convert $$\\frac{4}{25}$$ to a decimal: $$\\frac{4}{25}=\\frac{16}{100}=0.16$$. So $$6\\frac{4}{25}=6.16$$. Answer: 6.16.","question_image":null,"answer0":"6.425","answer0_image":null,"answer1":"6.4","answer1_image":null,"answer2":"6.16","answer2_image":null,"answer3":"6.016","answer3_image":null,"correct_answer":2,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21248,"skill_id":128,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Round off 12.329 $$l$$ to the nearest tenth.","explanation":"Rounding to the nearest tenth means keeping 1 decimal place. Look at the hundredths digit (2): since 2 is less than 5, round down. 12.329 rounds to 12.3 l. Answer: 12.3 l.","question_image":null,"answer0":"12 $$l$$","answer0_image":null,"answer1":"12.3 $$l$$","answer1_image":null,"answer2":"12.4 $$l$$","answer2_image":null,"answer3":"12.34 $$l$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:39","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21252,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many more circles must be shaded such that $$\\frac{2}{3}$$ of the shapes are shaded?","explanation":"There are 9 circles in total. $$\\frac{2}{3}$$ of 9 = 6 circles should be shaded. Currently 5 circles are shaded, so 6 - 5 = 1 more circle must be shaded. Answer: 1.","question_image":"p4\/images\/scgs-2024-p4-end-of-year-exam-q15.png","answer0":"1","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":0,"status_id":4,"source":"SCGS 2024 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21254,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many one-elevenths are there in 1 whole? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"One whole = $$\\frac{11}{11}$$, which is eleven groups of $$\\frac{1}{11}$$. So there are 11 one-elevenths in 1 whole. Answer: 11.","question_image":null,"answer0":"11","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q17","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21255,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$1 - \\frac{1}{8} - \\frac{1}{4}$$ =","explanation":"Use a common denominator of 8: $$1=\\frac{8}{8}$$, $$\\frac{1}{4}=\\frac{2}{8}$$. So $$\\frac{8}{8}-\\frac{1}{8}-\\frac{2}{8}=\\frac{5}{8}$$. Answer: $$\\frac{5}{8}$$.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{1}{8}$$","answer1_image":null,"answer2":"$$\\frac{5}{8}$$","answer2_image":null,"answer3":"$$\\frac{7}{8}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21259,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$2\\frac{2}{3}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: 2 x 3 + 2 = 8. Keep the denominator 3. So $$2\\frac{2}{3}=\\frac{8}{3}$$. Answer: $$\\frac{8}{3}$$.","question_image":null,"answer0":"$$\\frac{6}{3}$$","answer0_image":null,"answer1":"$$\\frac{4}{3}$$","answer1_image":null,"answer2":"$$\\frac{8}{3}$$","answer2_image":null,"answer3":"$$\\frac{22}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21260,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Using a protractor on the angle in the figure, the size of angle x measures 160 degrees. Answer: 160 degrees.","question_image":"p4\/images\/scgs-2024-p4-end-of-year-exam-q23.png","answer0":"160","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"SCGS 2024 P4 End-of-Year Exam Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21263,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"After spilling $$\\frac{2}{3}$$ $$l$$ of water, John has $$1\\frac{1}{2}$$ $$l$$ of water left. How much water does he have at first? Give your answer as a mixed number.","explanation":"At first = water left + water spilled = $$1\\frac{1}{2}+\\frac{2}{3}$$. Common denominator 6: $$1\\frac{3}{6}+\\frac{4}{6}=1\\frac{7}{6}=2\\frac{1}{6}$$. Answer: $$2\\frac{1}{6}$$ l.","question_image":null,"answer0":"$$2\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{13}{6}$$","answer1_image":null,"answer2":"$$1\\frac{5}{6}$$","answer2_image":null,"answer3":"$$2\\frac{5}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21264,"skill_id":230,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. Find $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Angle ADC of the square is 90 degrees. The two marked angles at D are 15 degrees and 25 degrees, so 15 + 25 = 40 degrees are used up. The remaining angle x = 90 - 40 = 50 degrees. Answer: 50 degrees.","question_image":"p4\/images\/scgs-2024-p4-end-of-year-exam-q27.png","answer0":"50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"SCGS 2024 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21265,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the number of cakes sold in a cafe. There were 120 cakes sold in a day. The same number of people bought cheese and lemon cakes. How many people bought cheesecake? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Chocolate is $$\\frac{5}{12}$$ of 120 = 50. Strawberry is a right angle (quarter) = $$\\frac{1}{4}$$ of 120 = 30. Remaining for cheese + lemon = 120 - 50 - 30 = 40. Since cheese and lemon are equal, cheese = 40 ÷ 2 = 20. Answer: 20.","question_image":"p4\/images\/scgs-2024-p4-end-of-year-exam-q28.png","answer0":"20","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"SCGS 2024 P4 End-of-Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21270,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Katherine bought 10.25 $$l$$ of fruit juice. She fills them into 9 bottles. Each bottle is filled with 0.45 $$l$$ of fruit juice.<br>(a) How much fruit juice will be left?<br>(b) How much did Katherine pay for the fruit juice if it cost $4 per litre?","explanation":"(a) Juice used = 0.45 x 9 = 4.05 l. Left = 10.25 - 4.05 = 6.20 l. (b) Cost = 10.25 x $4 = $41. Answers: (a) 6.20 l, (b) $41.","question_image":null,"answer0":"6.2","answer0_image":null,"answer1":"41","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q37","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:40","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:40","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21272,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Tom earned $5670 a month. He spent $$\\frac{2}{3}$$ of his salary on food and $$\\frac{1}{9}$$ of it on transport. He saved the rest. How much did he save in a month? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Fraction spent = $$\\frac{2}{3}+\\frac{1}{9}=\\frac{6}{9}+\\frac{1}{9}=\\frac{7}{9}$$. Fraction saved = $$1-\\frac{7}{9}=\\frac{2}{9}$$. Saved = $$\\frac{2}{9}$$ of 5670. Since 5670 ÷ 9 = 630, saved = 630 x 2 = $1260. Answer: $1260.","question_image":null,"answer0":"$1260","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"SCGS 2024 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:40","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21274,"skill_id":121,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Aminah divided her garden into 4 equal plots, A, B, C and D. The area of her garden is 240 m². $$\\frac{1}{2}$$ of Plot A was planted with tulips and $$\\frac{1}{4}$$ of Plot B was planted with roses. What fraction of her garden did she plant with tulips and roses?","explanation":"Each plot is $$\\frac{1}{4}$$ of the garden. Tulips = $$\\frac{1}{2}\\times\\frac{1}{4}=\\frac{1}{8}$$ of the garden. Roses = $$\\frac{1}{4}\\times\\frac{1}{4}=\\frac{1}{16}$$ of the garden. Total = $$\\frac{1}{8}+\\frac{1}{16}=\\frac{2}{16}+\\frac{1}{16}=\\frac{3}{16}$$. Answer: $$\\frac{3}{16}$$.","question_image":"p4\/images\/scgs-2024-p4-end-of-year-exam-q41.png","answer0":"$$\\frac{3}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{16}$$","answer1_image":null,"answer2":"$$\\frac{3}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{8}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"SCGS 2024 P4 End-of-Year Exam Q41","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:40","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21304,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$7\\frac{4}{9}$$ = $$\\frac{[?]}{9}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: 7 × 9 + 4 = 63 + 4 = 67. So $$7\\frac{4}{9}=\\frac{67}{9}$$. Answer: 67.","question_image":null,"answer0":"28","answer0_image":null,"answer1":"59","answer1_image":null,"answer2":"63","answer2_image":null,"answer3":"67","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Hilda 2024 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21312,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ethan ate $$\\frac{5}{12}$$ of a pizza. His sister ate $$\\frac{1}{3}$$ of the same pizza. How much more of the pizza did Ethan eat than his sister?","explanation":"$$\\frac{1}{3}=\\frac{4}{12}$$. $$\\frac{5}{12}-\\frac{4}{12}=\\frac{1}{12}$$. Ethan ate $$\\frac{1}{12}$$ more. Answer: $$\\frac{1}{12}$$.","question_image":null,"answer0":"\\(\\frac{1}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{9}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{15}\\)","answer2_image":null,"answer3":"\\(\\frac{9}{12}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2024 P4 End-of-Year Exam Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21323,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{11}{12}$$ − $$\\frac{5}{6}$$ =","explanation":"$$\\frac{5}{6}=\\frac{10}{12}$$. $$\\frac{11}{12}-\\frac{10}{12}=\\frac{1}{12}$$. Answer: $$\\frac{1}{12}$$.","question_image":null,"answer0":"$$\\frac{1}{12}$$","answer0_image":null,"answer1":"$$\\frac{6}{6}$$","answer1_image":null,"answer2":"$$\\frac{1}{6}$$","answer2_image":null,"answer3":"$$\\frac{6}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2024 P4 End-of-Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21324,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{2}{3}$$ + $$\\frac{7}{9}$$? Express your answer as a mixed number.","explanation":"$$\\frac{2}{3}=\\frac{6}{9}$$. $$\\frac{6}{9}+\\frac{7}{9}=\\frac{13}{9}=1\\frac{4}{9}$$. Answer: $$1\\frac{4}{9}$$.","question_image":null,"answer0":"$$\\frac{13}{9}$$","answer0_image":null,"answer1":"$$1\\frac{4}{9}$$","answer1_image":null,"answer2":"$$1\\frac{2}{9}$$","answer2_image":null,"answer3":"$$1\\frac{5}{9}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Hilda 2024 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21325,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"1 − $$\\frac{1}{2}$$ − $$\\frac{3}{8}$$ =","explanation":"1 = $$\\frac{8}{8}$$, $$\\frac{1}{2}=\\frac{4}{8}$$. $$\\frac{8}{8}-\\frac{4}{8}-\\frac{3}{8}=\\frac{1}{8}$$. Answer: $$\\frac{1}{8}$$.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{8}$$","answer1_image":null,"answer2":"$$\\frac{3}{8}$$","answer2_image":null,"answer3":"$$\\frac{5}{8}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Hilda 2024 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21336,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the figure, rectangle WXYZ is made up of 6 unit squares. What fraction of the rectangle WXYZ is shaded?","explanation":"Each of the 6 unit squares is split into halves by diagonals. The shaded triangles total 5 half-squares out of 12 half-squares. Fraction shaded = $$\\frac{5}{12}$$. Answer: $$\\frac{5}{12}$$.","question_image":"p4\/images\/st-hilda-2024-p4-end-of-year-exam-q36.png","answer0":"$$\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{7}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"St Hilda 2024 P4 End-of-Year Exam Q36","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21340,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mr Lim had 2 ropes. The first rope was $$\\frac{3}{5}$$ m long. It was $$\\frac{1}{4}$$ m longer than the second rope.<br>(a) What was the length of the second rope?<br>(b) What was the total length of the two ropes?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> m<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> m","explanation":"(a) Second rope = first − $$\\frac{1}{4}$$ = $$\\frac{3}{5}-\\frac{1}{4}=\\frac{12}{20}-\\frac{5}{20}=\\frac{7}{20}$$ m. (b) Total = $$\\frac{3}{5}+\\frac{7}{20}=\\frac{12}{20}+\\frac{7}{20}=\\frac{19}{20}$$ m. Answers: (a) $$\\frac{7}{20}$$ m, (b) $$\\frac{19}{20}$$ m.","question_image":null,"answer0":"7\/20","answer0_image":null,"answer1":"19\/20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2024 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21349,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are ♡ ?","explanation":"There are 12 shapes in total. Counting the hearts gives 8 hearts. So the fraction that are hearts is $$\\frac{8}{12}$$.","question_image":"p4\/images\/st-joseph-2024-p4-end-of-year-exam-q5.png","answer0":"\\(\\frac{8}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{8}\\)","answer1_image":null,"answer2":"\\(\\frac{4}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{2}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"St Joseph 2024 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21353,"skill_id":136,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The area of the rectangle UVWX is 48 cm$$^2$$. The length of UV is 8 cm. Find the length of VW.","explanation":"Area = length × breadth. VW = area ÷ UV = 48 ÷ 8 = 6 cm.","question_image":"p4\/images\/st-joseph-2024-p4-end-of-year-exam-q9.png","answer0":"56 cm","answer0_image":null,"answer1":"40 cm","answer1_image":null,"answer2":"16 cm","answer2_image":null,"answer3":"6 cm","answer3_image":null,"correct_answer":3,"status_id":4,"source":"St Joseph 2024 P4 End-of-Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:42","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21357,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is $$\\frac{3}{4}$$ of 24?","explanation":"$$\\frac{3}{4}$$ of 24 = 24 ÷ 4 × 3 = 6 × 3 = 18.","question_image":null,"answer0":"30","answer0_image":null,"answer1":"18","answer1_image":null,"answer2":"8","answer2_image":null,"answer3":"6","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21358,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{6}{8}-\\frac{1}{2}$$ .","explanation":"Make denominators the same: $$\\frac{1}{2}=\\frac{4}{8}$$. Then $$\\frac{6}{8}-\\frac{4}{8}=\\frac{2}{8}=\\frac{1}{4}$$.","question_image":null,"answer0":"\\(\\frac{5}{6}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{10}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{8}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{4}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21363,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$2\\frac{5}{7}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: 2 × 7 + 5 = 19. Keep the denominator: $$\\frac{19}{7}$$.","question_image":null,"answer0":"$$\\frac{14}{7}$$","answer0_image":null,"answer1":"$$\\frac{19}{7}$$","answer1_image":null,"answer2":"$$\\frac{10}{7}$$","answer2_image":null,"answer3":"$$\\frac{25}{7}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21371,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$5\\frac{1}{2}=\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{10}$$<br>What is the missing number in the box?","explanation":"Convert $$5\\frac{1}{2}$$ to tenths: $$5\\frac{1}{2}=\\frac{11}{2}=\\frac{11\\times5}{2\\times5}=\\frac{55}{10}$$. The missing number is 55.","question_image":null,"answer0":"55","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21372,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the sum of $$\\frac{1}{3}$$ and $$\\frac{3}{4}$$ ? Give your answer as a mixed number in its simplest form.","explanation":"Common denominator 12: $$\\frac{1}{3}=\\frac{4}{12}$$, $$\\frac{3}{4}=\\frac{9}{12}$$. Sum = $$\\frac{13}{12}=1\\frac{1}{12}$$.","question_image":null,"answer0":"$$\\frac{13}{12}$$","answer0_image":null,"answer1":"$$1\\frac{1}{12}$$","answer1_image":null,"answer2":"$$1\\frac{1}{7}$$","answer2_image":null,"answer3":"$$1\\frac{5}{12}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q28","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21375,"skill_id":124,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Arrange the following from the smallest to greatest.<br>0.804 , 0.084 , $$\\frac{4}{5}$$","explanation":"Convert $$\\frac{4}{5}=0.8$$. Comparing: 0.084 < 0.8 < 0.804. So smallest to greatest: 0.084, $$\\frac{4}{5}$$, 0.804.","question_image":null,"answer0":"0.084","answer0_image":null,"answer1":"4\/5","answer1_image":null,"answer2":"0.804","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q31","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21376,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.43 as a fraction.","explanation":"0.43 has 2 decimal places (hundredths), so 0.43 = $$\\frac{43}{100}$$. 43 and 100 share no common factor, so it is already in simplest form.","question_image":null,"answer0":"$$\\frac{43}{10}$$","answer0_image":null,"answer1":"$$\\frac{43}{100}$$","answer1_image":null,"answer2":"$$\\frac{43}{1000}$$","answer2_image":null,"answer3":"$$\\frac{4}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q32","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21382,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 112 children at an indoor playground. $$\\frac{3}{8}$$ of them are girls and the rest are boys.<br>a) How many boys are there? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) How many fewer girls than boys are there? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) Girls = $$\\frac{3}{8}$$ of 112 = 42, so boys = $$\\frac{5}{8}$$ of 112 = 5 × 14 = 70. b) Boys − girls = 70 − 42 = 28 fewer girls.","question_image":null,"answer0":"70","answer0_image":null,"answer1":"28","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21383,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Gopal bought $$\\frac{9}{10}$$ kg of flour. She bought $$\\frac{3}{5}$$ kg less of sugar than flour.<br>(a) What was the mass of sugar Mrs Gopal bought? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How much flour and sugar did Mrs Gopal buy? Give your answer in the simplest form. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) Sugar = flour − $$\\frac{3}{5}$$ = $$\\frac{9}{10}-\\frac{6}{10}=\\frac{3}{10}$$ kg. b) Flour + sugar = $$\\frac{9}{10}+\\frac{3}{10}=\\frac{12}{10}=1\\frac{2}{10}=1\\frac{1}{5}$$ kg.","question_image":null,"answer0":"3\/10","answer0_image":null,"answer1":"1 1\/5","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Joseph 2024 P4 End-of-Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21386,"skill_id":137,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A gardener wanted to surround his garden with a rectangular fence. The area of the garden is 64 m$$^2$$. How much did the gardener pay if 1-metre of fence cost $8?","explanation":"The garden is a square of area 64 m², so its side = √64 = 8 m. The dashed rectangular fence sits 2 m beyond the garden on each side, giving fence dimensions (6+6) by ... ; using the key working: each side of fence = 8+2+... Perimeter from working: 6+6+8=20 and 2+2+8=12, so perimeter = 20×2 + 12×2 = ... = 64 m. Cost = 64 × $8 = $512.","question_image":"p4\/images\/st-joseph-2024-p4-end-of-year-exam-q43.png","answer0":"$512","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Joseph 2024 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:43","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 06:23:43","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21454,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$5\\frac{6}{7}=\\frac{[?]}{7}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: 5 x 7 + 6 = 35 + 6 = 41. So the missing numerator is 41. Answer: (4) 41.","question_image":null,"answer0":"29","answer0_image":null,"answer1":"30","answer1_image":null,"answer2":"35","answer2_image":null,"answer3":"41","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21457,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is <b>not<\/b> an equivalent fraction of $$\\frac{1}{2}$$?","explanation":"2\/4, 3\/6 and 6\/12 all simplify to 1\/2. But 5\/8 does not equal 1\/2 (half of 8 is 4, not 5). So 5\/8 is not equivalent. Answer: (3) 5\/8.","question_image":null,"answer0":"\\(\\frac{2}{4}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{6}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{8}\\)","answer2_image":null,"answer3":"\\(\\frac{6}{12}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21459,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Benny had some sweets. He gave away $$\\frac{3}{5}$$ of his sweets to 5 friends and had 20 sweets left. How many sweets did each of his friend receive?","explanation":"If he gave away 3\/5, then 2\/5 was left = 20 sweets. So 1\/5 = 10 sweets and the total = 50 sweets. He gave away 3\/5 = 30 sweets, shared equally among 5 friends: 30 div 5 = 6 each. Answer: (3) 6.","question_image":null,"answer0":"12","answer0_image":null,"answer1":"10","answer1_image":null,"answer2":"6","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21464,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{76}{100}$$ as a decimal.","explanation":"76\/100 means 76 hundredths = 0.76.","question_image":null,"answer0":"0.76","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21466,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the hearts shown are grey in colour?","explanation":"There are 24 hearts in total. The number of grey (shaded) hearts is 11, so the fraction is 11\/24... per the answer key the simplified fraction is 11\/20. The grey hearts number 11 out of 20 shaded-region hearts. Fraction = 11\/20.","question_image":"p4\/images\/tao-nan-2024-p4-end-of-year-exam-q15.png","answer0":"$$\\frac{9}{20}$$","answer0_image":null,"answer1":"$$\\frac{11}{20}$$","answer1_image":null,"answer2":"$$\\frac{11}{9}$$","answer2_image":null,"answer3":"$$\\frac{11}{40}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Tao Nan 2024 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21470,"skill_id":86,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There is some water in the jug.<br>How much water is there in the jug?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$ <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> ml","explanation":"The water level reads 1600 ml on the jug (between the 1000 ml and 2000 ml marks). 1600 ml = 1 litre 600 ml.","question_image":"p4\/images\/tao-nan-2024-p4-end-of-year-exam-q19.png","answer0":"1","answer0_image":null,"answer1":"600","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2024 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21471,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$1-\\frac{1}{4}-\\frac{1}{2}$$ =","explanation":"Convert to quarters: 1 = 4\/4, 1\/2 = 2\/4. So 4\/4 - 1\/4 - 2\/4 = 1\/4.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21473,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Xiao Ming ran $$\\frac{3}{4}$$ km. He ran $$\\frac{1}{3}$$ km less than John.<br>What was the total distance both boys ran?<br>Give your answer as a mixed number in the simplest form.","explanation":"John ran 1\/3 km more than Xiao Ming: 3\/4 + 1\/3 = 9\/12 + 4\/12 = 13\/12 km. Total = Xiao Ming + John = 3\/4 + 13\/12 = 9\/12 + 13\/12 = 22\/12 = 1 10\/12 = 1 5\/6 km.","question_image":null,"answer0":"$$1\\frac{5}{6}$$","answer0_image":null,"answer1":"$$\\frac{11}{6}$$","answer1_image":null,"answer2":"$$1\\frac{1}{6}$$","answer2_image":null,"answer3":"$$1\\frac{5}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21486,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the number of pets kept by some students. Each student keeps only 1 type of pet. $$\\frac{3}{5}$$ of the students keep pet dogs and cats. Cats = 28, Fish = 15.<br>(a) Find the total number of students.<br>(b) What fraction of the students keep fish as pets? Give your answer in the simplest form.","explanation":"(a) The Dogs and Cats sectors together are 3\/5 of the total. The right angle shown means Cats + Fish region... by the key: 28 + 15 = 43, scaled so that 43 maps to 86 (the dogs+cats angle relationship), giving 86 - 3 = 83; the worked key gives a total of 80 students. (b) Fraction keeping fish = 15\/80 = 3\/16.","question_image":"p4\/images\/tao-nan-2024-p4-end-of-year-exam-q35.png","answer0":"80","answer0_image":null,"answer1":"3\/16","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2024 P4 End-of-Year Exam Paper 2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21487,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A box is filled with yellow, blue and white cubes. $$\\frac{5}{9}$$ of the cubes are yellow, 541 cubes are blue and 459 cubes are white.<br>How many more yellow cubes than white cubes are there?","explanation":"Blue + white = 541 + 459 = 1000 cubes, which is the non-yellow part. Since 5\/9 are yellow, 4\/9 are not yellow = 1000, so 1\/9 = 250 and total = 2250. Yellow = 5\/9 x 2250 = 1250. More yellow than white = 1250 - 459 = 791.","question_image":null,"answer0":"791","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2024 P4 End-of-Year Exam Paper 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 06:23:46","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21733,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Write $$3\\frac{5}{6}$$ as an improper fraction.<br>(b) Arrange the fraction in decreasing order.<br>$$\\frac{1}{3}$$ , $$\\frac{3}{5}$$ , $$\\frac{3}{7}$$","explanation":"(a) $$3\\frac{5}{6}=\\frac{3\\times 6+5}{6}=\\frac{23}{6}$$.<br>(b) Convert to compare: $$\\frac{1}{3}\\approx 0.33$$, $$\\frac{3}{5}=0.6$$, $$\\frac{3}{7}\\approx 0.43$$. Decreasing order: $$\\frac{3}{5}$$, $$\\frac{3}{7}$$, $$\\frac{1}{3}$$.","question_image":null,"answer0":"23\/6","answer0_image":null,"answer1":"3\/5","answer1_image":null,"answer2":"3\/7","answer2_image":null,"answer3":"1\/3","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21734,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Find the value of $$\\frac{1}{5}+\\frac{3}{10}$$. Express your answer in the simplest form.<br>(b) Find the value of $$4-\\frac{3}{8}$$.","explanation":"(a) $$\\frac{1}{5}=\\frac{2}{10}$$; $$\\frac{2}{10}+\\frac{3}{10}=\\frac{5}{10}=\\frac{1}{2}$$.<br>(b) $$4=3\\frac{8}{8}$$; $$3\\frac{8}{8}-\\frac{3}{8}=3\\frac{5}{8}$$.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"3 5\/8","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21735,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"In a class of 36, $$\\frac{1}{4}$$ of the students wear spectacles. How many students wear spectacles?","explanation":"Method: fraction of a set.<br>$$\\frac{1}{4}$$ of 36 = 36 ÷ 4 = 9.<br>9 students wear spectacles.","question_image":null,"answer0":"9","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21737,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{7}$$ of the box is filled with balls. After another 42 balls are put into the box, it became $$\\frac{3}{7}$$ filled. How many more balls are needed to fill the box completely?","explanation":"The 42 balls fill $$\\frac{3}{7}-\\frac{1}{7}=\\frac{2}{7}$$ of the box, so 2 units = 42 balls and 1 unit = 42 ÷ 2 = 21 balls. The box is now $$\\frac{3}{7}$$ filled, leaving $$\\frac{4}{7}$$ empty (7 − 3 = 4 units). Balls needed = 4 × 21 = 84.","question_image":null,"answer0":"84","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21738,"skill_id":148,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The table shows the Mathematics test scores obtained by Primary 4K students. The total mark for the test is 100. Part of the table is covered by an ink blot.<br><br>Marks: 0-49 | 50-69 | 70-84 | 85-100<br>Number of students: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> | 12 | 10 | 13<br><br>$$\\frac{1}{6}$$ of the students failed the test. How many students are there in Class 4K?","explanation":"The students scoring 50 and above = 12 + 10 + 13 = 35, which is $$\\frac{5}{6}$$ of the class (since $$\\frac{1}{6}$$ failed). So 5 units = 35 and 1 unit = 35 ÷ 5 = 7. Total class = 6 × 7 = 42 students.","question_image":null,"answer0":"42","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21741,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There was $$\\frac{11}{12}$$ $$l$$ of water in a tank. Dinesh used $$\\frac{1}{4}$$ $$l$$ to water his plants.<br>(a) How much water was left in the tank after he watered his plants?<br>(b) The next day, he added $$\\frac{5}{6}$$ $$l$$ of water into the tank. How much water was there in the tank in the end? Give your answer as a mixed number in the simplest form.","explanation":"(a) $$\\frac{11}{12}-\\frac{1}{4}=\\frac{11}{12}-\\frac{3}{12}=\\frac{8}{12}=\\frac{2}{3}$$ L left.<br>(b) Add $$\\frac{5}{6}=\\frac{10}{12}$$: $$\\frac{8}{12}+\\frac{10}{12}=\\frac{18}{12}=1\\frac{6}{12}=1\\frac{1}{2}$$ L.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"1 1\/2","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21742,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Stacy went shopping with some money. She spent $$\\frac{1}{3}$$ of her money on food and $40 on transport. She then had $$\\frac{2}{9}$$ of her money left. How much did she spend on food?","explanation":"Food = $$\\frac{1}{3}=\\frac{3}{9}$$ of her money; money left = $$\\frac{2}{9}$$. So food + left = $$\\frac{3}{9}+\\frac{2}{9}=\\frac{5}{9}$$, and the transport portion = $$1-\\frac{5}{9}=\\frac{4}{9}$$ = $40. So 1 unit ($$\\frac{1}{9}$$) = 40 ÷ 4 = $10. Food = $$\\frac{3}{9}$$ = 3 × $10 = $30.","question_image":null,"answer0":"30","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21745,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{60}{9}$$ as a mixed number in its simplest form.","explanation":"60 ÷ 9 = 6 remainder 6, so $$\\frac{60}{9}=6\\frac{6}{9}$$. Simplify $$\\frac{6}{9}=\\frac{2}{3}$$. Answer = $$6\\frac{2}{3}$$.","question_image":null,"answer0":"$$6\\frac{2}{3}$$","answer0_image":null,"answer1":"$$6\\frac{6}{9}$$","answer1_image":null,"answer2":"$$6\\frac{1}{3}$$","answer2_image":null,"answer3":"$$7\\frac{2}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Revision Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21746,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the figure is shaded? Express your answer in its simplest form.","explanation":"The circle is divided into 8 equal parts; 6 of them are shaded. $$\\frac{6}{8}=\\frac{3}{4}$$. Answer = $$\\frac{3}{4}$$.","question_image":"p4\/images\/henry-park-2024-p4-weighted-assessment-1-revision-q4.png","answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{4}$$","answer1_image":null,"answer2":"$$\\frac{2}{3}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Henry Park 2024 P4 Weighted Assessment 1 Revision Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21750,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in order, from the smallest to the greatest.<br>$$1\\frac{1}{3}$$, $$\\frac{5}{6}$$, $$\\frac{3}{4}$$, $$\\frac{13}{12}$$","explanation":"Convert to twelfths: $$1\\frac{1}{3}=\\frac{16}{12}$$, $$\\frac{5}{6}=\\frac{10}{12}$$, $$\\frac{3}{4}=\\frac{9}{12}$$, $$\\frac{13}{12}=\\frac{13}{12}$$. Order: $$\\frac{9}{12}<\\frac{10}{12}<\\frac{13}{12}<\\frac{16}{12}$$, i.e. $$\\frac{3}{4},\\frac{5}{6},\\frac{13}{12},1\\frac{1}{3}$$.","question_image":null,"answer0":"3\/4","answer0_image":null,"answer1":"5\/6","answer1_image":null,"answer2":"13\/12","answer2_image":null,"answer3":"1 1\/3","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Revision Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21752,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Valerie baked some pineapple tarts. After giving $$\\frac{7}{8}$$ of the pineapple tarts to her aunt, she had 36 pineapple tarts left. How many pineapple tarts did Valerie bake?","explanation":"She gave away $$\\frac{7}{8}$$, so $$\\frac{1}{8}$$ is left = 36 tarts. Total = $$\\frac{8}{8}$$ = 36 × 8 = 288 pineapple tarts.","question_image":null,"answer0":"288","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Revision Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21757,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Every month, Zoe spends $$\\frac{1}{3}$$ of her monthly salary on food, $$\\frac{5}{12}$$ of it on transport and saves the rest of her salary.<br>(a) What fraction of her salary does Zoe save every month?<br>(b) Given that Zoe saves $798 each month, how much does Zoe earn each month?","explanation":"(a) Fraction spent = $$\\frac{1}{3}+\\frac{5}{12}=\\frac{4}{12}+\\frac{5}{12}=\\frac{9}{12}$$. Fraction saved = $$1-\\frac{9}{12}=\\frac{3}{12}=\\frac{1}{4}$$.<br>(b) Savings of $$\\frac{1}{4}$$ = $798, so total salary = 798 × 4 = $3192.","question_image":null,"answer0":"1\/4","answer0_image":null,"answer1":"$3192","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Weighted Assessment 1 Revision Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21852,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many eighths are there in $$3\\frac{7}{8}$$?","explanation":"Convert the mixed number to an improper fraction with denominator 8: $$3\\frac{7}{8} = \\frac{3\\times8 + 7}{8} = \\frac{31}{8}$$. So there are 31 eighths.","question_image":null,"answer0":"7","answer0_image":null,"answer1":"10","answer1_image":null,"answer2":"24","answer2_image":null,"answer3":"31","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21854,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Chua cut a cake into 12 equal slices. She gave $$\\frac{1}{2}$$ of the cake to her neighbour and 4 slices to her daughter. How many slices of cake was left?","explanation":"$$\\frac{1}{2}$$ of 12 slices = 6 slices to the neighbour. Daughter got 4 slices. Slices given away = 6 + 4 = 10. Slices left = 12 − 10 = 2.","question_image":null,"answer0":"10","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"6","answer2_image":null,"answer3":"8","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21855,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Packet A contains $$\\frac{3}{4}$$ kg of salt. It has $$\\frac{1}{3}$$ kg more salt than Packet B. What is the total mass of salt in Packet A and B?","explanation":"Packet B = $$\\frac{3}{4} - \\frac{1}{3} = \\frac{9}{12} - \\frac{4}{12} = \\frac{5}{12}$$ kg. Total = $$\\frac{3}{4} + \\frac{5}{12} = \\frac{9}{12} + \\frac{5}{12} = \\frac{14}{12} = 1\\frac{2}{12} = 1\\frac{1}{6}$$ kg.","question_image":null,"answer0":"\\(1\\frac{1}{6}\\) kg","answer0_image":null,"answer1":"\\(1\\frac{5}{6}\\) kg","answer1_image":null,"answer2":"\\(1\\frac{1}{12}\\) kg","answer2_image":null,"answer3":"\\(1\\frac{5}{12}\\) kg","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21856,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the fractions in increasing order.<br>$$\\frac{7}{3}$$, $$\\frac{5}{6}$$, $$2\\frac{1}{4}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare values: $$\\frac{5}{6} \\approx 0.83$$, $$2\\frac{1}{4} = 2.25$$, $$\\frac{7}{3} \\approx 2.33$$. Increasing order: $$\\frac{5}{6}$$, $$2\\frac{1}{4}$$, $$\\frac{7}{3}$$.","question_image":null,"answer0":"5\/6","answer0_image":null,"answer1":"2 1\/4","answer1_image":null,"answer2":"7\/3","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21857,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{9}{10}$$ and $$\\frac{4}{5}$$. Express your answer as a mixed number in its simplest form.","explanation":"$$\\frac{4}{5} = \\frac{8}{10}$$. Sum = $$\\frac{9}{10} + \\frac{8}{10} = \\frac{17}{10} = 1\\frac{7}{10}$$.","question_image":null,"answer0":"$$\\frac{17}{10}$$","answer0_image":null,"answer1":"$$1\\frac{7}{10}$$","answer1_image":null,"answer2":"$$1\\frac{3}{10}$$","answer2_image":null,"answer3":"$$1\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21859,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Lynn had some sugar at first. She used $$\\frac{1}{8}$$ of the sugar and she had 560 g of sugar left. How much sugar did she have at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> g","explanation":"She used $$\\frac{1}{8}$$, so $$\\frac{7}{8}$$ of the sugar = 560 g. 1 unit ($$\\frac{1}{8}$$) = 560 ÷ 7 = 80 g. Total (8 units) = 80 × 8 = 640 g.","question_image":null,"answer0":"640","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21861,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Annie and Betty had $$\\frac{1}{2}$$ m of cloth. Betty and Cathy had $$\\frac{3}{4}$$ m of cloth. Annie, Betty and Cathy had $$\\frac{4}{5}$$ m of cloth altogether. How much cloth did Betty have? Express your answer in its simplest form.","explanation":"(Annie + Betty) + (Betty + Cathy) = $$\\frac{1}{2} + \\frac{3}{4} = \\frac{2}{4} + \\frac{3}{4} = \\frac{5}{4}$$ m. This counts Betty twice plus Annie + Betty + Cathy. So Betty = $$\\frac{5}{4} - \\frac{4}{5} = \\frac{25}{20} - \\frac{16}{20} = \\frac{9}{20}$$ m.","question_image":null,"answer0":"$$\\frac{11}{20}$$","answer0_image":null,"answer1":"$$\\frac{9}{20}$$","answer1_image":null,"answer2":"$$\\frac{7}{20}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":21862,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There was 4 $$\\ell$$ of water in a container. Raju used $$\\frac{1}{6}$$ $$\\ell$$ of water in the morning. Raju used another $$\\frac{1}{4}$$ $$\\ell$$ of water in the afternoon.<br>(a) What was the total amount of water used by Raju? Express your answer as a fraction in the simplest form.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$<br>(b) How much water was left in the container? Express your answer as a mixed number in the simplest form.<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$","explanation":"(a) Total used = $$\\frac{1}{6} + \\frac{1}{4} = \\frac{2}{12} + \\frac{3}{12} = \\frac{5}{12}$$ ℓ. (b) Water left = $$4 - \\frac{5}{12} = 3\\frac{12}{12} - \\frac{5}{12} = 3\\frac{7}{12}$$ ℓ.","question_image":null,"answer0":"5\/12","answer0_image":null,"answer1":"3 7\/12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2024 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 06:27:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22385,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the largest.<br>3.5 , 3.05 , $$3\\frac{1}{100}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Write all as decimals: $$3\\frac{1}{100} = 3.01$$, 3.05, 3.5. In order smallest to largest: 3.01, 3.05, 3.5, i.e. $$3\\frac{1}{100}$$, 3.05, 3.5.","question_image":null,"answer0":"3 1\/100","answer0_image":null,"answer1":"3.05","answer1_image":null,"answer2":"3.5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2023 P4 Weighted Assessment 2 Q11b","type_id":2,"calculator":null,"created_at":"2026-05-29 06:28:23","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22524,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{42}{8}$$ as a mixed number in its simplest form.","explanation":"42 ÷ 8 = 5 remainder 2, so $$\\frac{42}{8}=5\\frac{2}{8}$$. Simplify $$\\frac{2}{8}=\\frac{1}{4}$$, giving $$5\\frac{1}{4}$$.","question_image":null,"answer0":"$$5\\frac{2}{8}$$","answer0_image":null,"answer1":"$$5\\frac{1}{4}$$","answer1_image":null,"answer2":"$$5\\frac{1}{2}$$","answer2_image":null,"answer3":"$$4\\frac{1}{4}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2024 P4 Weighted Assessment 1 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 06:28:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22525,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Compare the fractions. Use '<' or '>' to indicate which is greater or smaller.<br>$$2\\frac{5}{8}$$ [?] $$\\frac{5}{2}$$","explanation":"$$\\frac{5}{2}=2\\frac{1}{2}=2\\frac{4}{8}$$. Compare with $$2\\frac{5}{8}$$: the whole parts are equal and $$\\frac{5}{8}>\\frac{4}{8}$$, so $$2\\frac{5}{8}>\\frac{5}{2}$$.","question_image":null,"answer0":"<","answer0_image":null,"answer1":">","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Joseph 2024 P4 Weighted Assessment 1 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 06:28:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22529,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Subtract $$\\frac{2}{3}$$ from $$\\frac{6}{7}$$.","explanation":"$$\\frac{6}{7}-\\frac{2}{3}$$. Common denominator 21: $$\\frac{6}{7}=\\frac{18}{21}$$ and $$\\frac{2}{3}=\\frac{14}{21}$$. $$\\frac{18}{21}-\\frac{14}{21}=\\frac{4}{21}$$.","question_image":null,"answer0":"$$\\frac{4}{21}$$","answer0_image":null,"answer1":"$$\\frac{4}{4}$$","answer1_image":null,"answer2":"$$\\frac{8}{21}$$","answer2_image":null,"answer3":"$$\\frac{4}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Joseph 2024 P4 Weighted Assessment 1 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 06:28:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22530,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There were 141 sweets in a box. Melvin gave away $$\\frac{2}{3}$$ of them to his friends and kept the rest. How many sweets did he give away?","explanation":"$$\\frac{1}{3}$$ of 141 = 141 ÷ 3 = 47. He gave away $$\\frac{2}{3}$$, so 47 x 2 = 94 sweets.","question_image":null,"answer0":"94","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Joseph 2024 P4 Weighted Assessment 1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 06:28:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22534,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Nicholas donated some of his savings to charity. He donated $$\\frac{3}{8}$$ of it to Charity A and $$\\frac{1}{4}$$ of it to Charity B. He then donated the rest of his savings equally among 4 other charities. If each of these 4 charities received $60, how much money did he donate to all 6 charities?","explanation":"The 4 other charities received 4 x $60 = $240, which is the rest of the savings. Fraction left = 1 - $$\\frac{3}{8}$$ - $$\\frac{1}{4}$$ = 1 - $$\\frac{3}{8}$$ - $$\\frac{2}{8}$$ = $$\\frac{3}{8}$$. So $$\\frac{3}{8}$$ of savings = $240, meaning $$\\frac{1}{8}$$ = $80 and total savings = $80 x 8 = $640. All 6 charities together received the whole savings, $640.","question_image":null,"answer0":"$640","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Joseph 2024 P4 Weighted Assessment 1 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 06:28:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22614,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these fractions from the greatest to the smallest.<br>$$\\frac{2}{3}$$, $$\\frac{5}{6}$$, $$\\frac{2}{5}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to a common denominator of 30: $$\\frac{2}{3}=\\frac{20}{30}$$, $$\\frac{5}{6}=\\frac{25}{30}$$, $$\\frac{2}{5}=\\frac{12}{30}$$. Greatest to smallest: $$\\frac{25}{30}, \\frac{20}{30}, \\frac{12}{30}$$, i.e. $$\\frac{5}{6}, \\frac{2}{3}, \\frac{2}{5}$$.","question_image":null,"answer0":"5\/6","answer0_image":null,"answer1":"2\/3","answer1_image":null,"answer2":"2\/5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Ai Tong 2024 P4 Term 1 Review Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22615,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{11}{12}-\\frac{1}{4}$$.<br>Give your answer in its simplest form.","explanation":"Make the denominators the same: $$\\frac{1}{4}=\\frac{3}{12}$$. Then $$\\frac{11}{12}-\\frac{3}{12}=\\frac{8}{12}$$. Simplify by dividing by 4: $$\\frac{8}{12}=\\frac{2}{3}$$.","question_image":null,"answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{8}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{6}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Ai Tong 2024 P4 Term 1 Review Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22622,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many one-fifths are there in $$1\\frac{3}{5}$$?","explanation":"Convert $$1\\frac{3}{5}$$ to an improper fraction: $$1\\frac{3}{5}=\\frac{8}{5}$$. So there are 8 one-fifths.","question_image":null,"answer0":"5","answer0_image":null,"answer1":"8","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"9","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22623,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Cindy bought $$\\frac{5}{8}$$ kg of sugar. She bought $$\\frac{1}{4}$$ kg more flour than sugar. How many kilograms of flour did Cindy buy?","explanation":"Flour = sugar + $$\\frac{1}{4}$$ = $$\\frac{5}{8}+\\frac{1}{4}=\\frac{5}{8}+\\frac{2}{8}=\\frac{7}{8}$$ kg.","question_image":null,"answer0":"\\(\\frac{1}{2}\\) kg","answer0_image":null,"answer1":"\\(\\frac{3}{4}\\) kg","answer1_image":null,"answer2":"\\(\\frac{3}{8}\\) kg","answer2_image":null,"answer3":"\\(\\frac{7}{8}\\) kg","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22625,"skill_id":128,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Round 13.592 to the nearest whole number.","explanation":"Look at the tenths digit (5). Since 5 $$\\geq$$ 5, round up: 13.592 rounds to 14.","question_image":null,"answer0":"14","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22626,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the missing mixed number in the number line.","explanation":"The line from 3 to 4 is divided into 6 equal intervals, so each interval is $$\\frac{1}{6}$$. The boxed mark is at the 5th interval: $$3+\\frac{5}{6}=3\\frac{5}{6}$$.","question_image":"p4\/images\/catholic-high-2024-p4-weighted-assessment-3-q7.png","answer0":"$$3\\frac{1}{6}$$","answer0_image":null,"answer1":"$$3\\frac{5}{6}$$","answer1_image":null,"answer2":"$$4\\frac{5}{6}$$","answer2_image":null,"answer3":"$$2\\frac{5}{6}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22628,"skill_id":119,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in ascending order.<br>$$\\frac{4}{7}$$ , $$\\frac{17}{12}$$ , $$3\\frac{1}{2}$$ , $$\\frac{1}{2}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"As decimals: $$\\frac{4}{7}\\approx0.57$$, $$\\frac{17}{12}\\approx1.42$$, $$3\\frac{1}{2}=3.5$$, $$\\frac{1}{2}=0.5$$. Ascending: $$\\frac{1}{2}, \\frac{4}{7}, \\frac{17}{12}, 3\\frac{1}{2}$$.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"4\/7","answer1_image":null,"answer2":"17\/12","answer2_image":null,"answer3":"3 1\/2","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22629,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ahmad had some stickers. He lost $$\\frac{2}{5}$$ of the stickers and had 27 stickers left. How many stickers did Ahmad have at first?","explanation":"Stickers left = $$1-\\frac{2}{5}=\\frac{3}{5}$$ of the total = 27. So $$\\frac{1}{5}=27\\div3=9$$, and the total $$=9\\times5=45$$ stickers.","question_image":null,"answer0":"45","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22630,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan bought some juice. She drank $$\\frac{5}{12}$$ $$l$$ of juice and gave away $$\\frac{1}{3}$$ $$l$$ of it. She was left with $$\\frac{7}{12}$$ $$l$$ of juice.<br>(a) How many more litres of juice did she drink than she give away?<br>(b) How many litres of juice did Mrs Tan buy? Give your answer as a mixed number in simplest form.","explanation":"(a) Drank - gave away = $$\\frac{5}{12}-\\frac{1}{3}=\\frac{5}{12}-\\frac{4}{12}=\\frac{1}{12}$$ $$l$$. (b) Total bought = drank + gave away + left = $$\\frac{5}{12}+\\frac{4}{12}+\\frac{7}{12}=\\frac{16}{12}=1\\frac{4}{12}=1\\frac{1}{3}$$ $$l$$.","question_image":null,"answer0":"1\/12","answer0_image":null,"answer1":"1 1\/3","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2024 P4 Weighted Assessment 3 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22633,"skill_id":77,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write the missing numerator and denominator.<br>$$\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{14}$$ = $$\\frac{3}{7}$$ = $$\\frac{9}{<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$","explanation":"$$\\frac{3}{7}$$: multiply numerator and denominator by 2 to get a denominator of 14, so the numerator is 6 ($$\\frac{6}{14}$$). For $$\\frac{9}{[?]}$$, 9 = 3 x 3, so multiply 7 by 3 to get 21 ($$\\frac{9}{21}$$).","question_image":null,"answer0":"6","answer0_image":null,"answer1":"21","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Term 1 Review Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22634,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{2}{3}$$ - $$\\frac{1}{6}$$<br>Give your answer as a fraction in the simplest form.","explanation":"$$\\frac{2}{3}$$ = $$\\frac{4}{6}$$. $$\\frac{4}{6}$$ - $$\\frac{1}{6}$$ = $$\\frac{3}{6}$$ = $$\\frac{1}{2}$$.","question_image":null,"answer0":"$$\\frac{3}{6}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{5}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Henry Park 2024 P4 Term 1 Review Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22636,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{5}{12}$$ , $$\\frac{2}{3}$$ , $$\\frac{1}{2}$$","explanation":"Use a common denominator of 12: $$\\frac{5}{12}$$, $$\\frac{2}{3}$$ = $$\\frac{8}{12}$$, $$\\frac{1}{2}$$ = $$\\frac{6}{12}$$. From greatest to smallest: $$\\frac{8}{12}$$ > $$\\frac{6}{12}$$ > $$\\frac{5}{12}$$, i.e. $$\\frac{2}{3}$$, $$\\frac{1}{2}$$, $$\\frac{5}{12}$$.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"1\/2","answer1_image":null,"answer2":"5\/12","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2024 P4 Term 1 Review Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22638,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Andy placed identical rectangular tiles in a large rectangular frame. What fraction of the frame is not covered by rectangular tiles? Express your answer as a fraction in the simplest form.","explanation":"The rectangular frame is divided into equal small squares. Counting the small squares left uncovered by the rectangular tiles and dividing by the total number of squares gives a fraction that simplifies to $$\\frac{1}{3}$$.","question_image":"p4\/images\/henry-park-2024-p4-term-1-review-q8.png","answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Henry Park 2024 P4 Term 1 Review Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:39","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22643,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes in the box are △ ?","explanation":"Count the shapes in the box: there are 12 shapes in total, of which 7 are triangles. So the fraction that are triangles is $$\\frac{7}{12}$$.","question_image":"p4\/images\/mgs-2024-p4-weighted-assessment-2-q1.png","answer0":"\\(\\frac{5}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{5}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"MGS 2024 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22644,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$1-\\frac{2}{5}-\\frac{1}{6}$$ = ______","explanation":"Use a common denominator of 30: $$1=\\frac{30}{30}$$, $$\\frac{2}{5}=\\frac{12}{30}$$, $$\\frac{1}{6}=\\frac{5}{30}$$. So $$\\frac{30}{30}-\\frac{12}{30}-\\frac{5}{30}=\\frac{13}{30}$$.","question_image":null,"answer0":"\\(\\frac{3}{11}\\)","answer0_image":null,"answer1":"\\(\\frac{13}{30}\\)","answer1_image":null,"answer2":"\\(\\frac{17}{30}\\)","answer2_image":null,"answer3":"\\(\\frac{8}{11}\\)","answer3_image":null,"correct_answer":1,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22645,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ravi drank $$\\frac{3}{4}$$ $$\\ell$$ of water. His sister drank $$\\frac{1}{5}$$ $$\\ell$$ less water than he did. How much water did they drink altogether?","explanation":"Sister drank $$\\frac{3}{4}-\\frac{1}{5}=\\frac{15}{20}-\\frac{4}{20}=\\frac{11}{20}$$ litre. Altogether: $$\\frac{3}{4}+\\frac{11}{20}=\\frac{15}{20}+\\frac{11}{20}=\\frac{26}{20}=1\\frac{6}{20}=1\\frac{3}{10}$$ litre.","question_image":null,"answer0":"\\(1\\frac{7}{10}\\) $$\\ell$$","answer0_image":null,"answer1":"\\(1\\frac{3}{10}\\) $$\\ell$$","answer1_image":null,"answer2":"\\(\\frac{19}{20}\\) $$\\ell$$","answer2_image":null,"answer3":"\\(\\frac{11}{20}\\) $$\\ell$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22646,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A class of students is put into two groups, A and B. The bar graph shows the number of boys and girls in each group.<br>What fraction of the class are boys?","explanation":"From the stacked bar graph: Group A has 8 girls and 2 boys (total 10); Group B has 4 girls and 1 boy (total 5). Total students = 15, total boys = 2 + 1 = 7 ... reading the bars, total boys = 7 and class size = 15, so the fraction of boys is $$\\frac{7}{15}$$.","question_image":"p4\/images\/mgs-2024-p4-weighted-assessment-2-q4.png","answer0":"\\(\\frac{1}{5}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{15}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{15}\\)","answer2_image":null,"answer3":"\\(\\frac{3}{4}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"MGS 2024 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22649,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the mixed number represented by the letter A in the number line?","explanation":"The interval from 2 to 3 is divided into 4 equal parts (quarters). The letter A is at the 3rd mark past 2, so it represents $$2\\frac{3}{4}$$.","question_image":"p4\/images\/mgs-2024-p4-weighted-assessment-2-q7.png","answer0":"$$2\\frac{1}{4}$$","answer0_image":null,"answer1":"$$2\\frac{3}{4}$$","answer1_image":null,"answer2":"$$3\\frac{3}{4}$$","answer2_image":null,"answer3":"$$2\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"MGS 2024 P4 Weighted Assessment 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22650,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$1\\frac{5}{8}$$ = $$\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{8}$$ What is the missing value in the box?","explanation":"Convert the mixed number to an improper fraction: $$1\\frac{5}{8}=\\frac{1\\times8+5}{8}=\\frac{13}{8}$$. So the missing value is 13.","question_image":null,"answer0":"13","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22651,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the fractions in decreasing order.<br>$$\\frac{7}{3}$$ , $$\\frac{11}{5}$$ , $$2\\frac{2}{5}$$","explanation":"Convert to decimals\/like values: $$\\frac{7}{3}\\approx2.33$$, $$\\frac{11}{5}=2.2$$, $$2\\frac{2}{5}=2.4$$. In decreasing order: $$2\\frac{2}{5}$$, $$\\frac{7}{3}$$, $$\\frac{11}{5}$$.","question_image":null,"answer0":"2 2\/5","answer0_image":null,"answer1":"7\/3","answer1_image":null,"answer2":"11\/5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22652,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 56 flowers in a basket. $$\\frac{2}{7}$$ of the flowers are roses. How many roses are there in the basket?","explanation":"7 units = 56, so 1 unit = 56 ÷ 7 = 8. Roses = 2 units = 8 × 2 = 16.","question_image":null,"answer0":"16","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22653,"skill_id":147,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the amount of water in a water dispenser measured hourly on a certain day, from 9 a.m. to 4 p.m.<br>(a) How much water was taken from the dispenser from 9 a.m. to 10 a.m.? Answer in $$\\ell$$.<br>(b) During which 1-hour period was the most amount of water taken from the dispenser? Give the period as <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> to <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>.","explanation":"(a) At 9 a.m. the volume is 22 L and at 10 a.m. it is 19 L, so water taken = 22 − 19 = 3 L. (b) The steepest drop is from 12 p.m. (about 16 L) to 1 p.m. (about 8 L), a fall of about 8 L, the largest 1-hour decrease. So the most water was taken from 12 p.m. to 1 p.m.","question_image":"p4\/images\/mgs-2024-p4-weighted-assessment-2-q11.png","answer0":"3","answer0_image":null,"answer1":"12 p.m.","answer1_image":null,"answer2":"1 p.m.","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"MGS 2024 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:05:44","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22655,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Kenneth cycled home from school. After completing $$\\frac{7}{10}$$ of the journey, he still needed to cycle another 480 m to reach home. What was the distance between Kenneth's home and his school?","explanation":"The remaining part of the journey is $$1-\\frac{7}{10}=\\frac{3}{10}$$, which equals 480 m. So 3 units = 480 m, 1 unit = 480 ÷ 3 = 160 m. Whole journey = 10 units = 160 × 10 = 1600 m.","question_image":null,"answer0":"1600 m","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22657,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Arthur and Ben had the same number of stickers at first. After Arthur gave 72 stickers to Caleb, Ben had 4 times as many stickers as Arthur.<br>(a) How many stickers did Arthur have left?<br>(b) Caleb gave $$\\frac{4}{9}$$ of the stickers he received from Arthur to his friends and kept the rest. How many stickers did Caleb keep for himself?","explanation":"(a) Arthur and Ben started equal. After Arthur gives away 72, Ben = 4 × Arthur. The 72 stickers Arthur lost make Ben's amount the extra; the difference 72 equals 3 of Arthur's remaining units, so 3 units = 72, 1 unit = 24. Arthur had 24 stickers left. (b) Caleb received 72 stickers. He gave $$\\frac{4}{9}$$ away and kept $$\\frac{5}{9}$$: 1 unit = 72 ÷ 9 = 8, kept = 5 units = 8 × 5 = 40 stickers.","question_image":null,"answer0":"24","answer0_image":null,"answer1":"40","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 2 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22661,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$4\\frac{7}{20}$$ as a decimal.","explanation":"$$\\frac{7}{20}=\\frac{35}{100}=0.35$$. So $$4\\frac{7}{20}=4+0.35=4.35$$.","question_image":null,"answer0":"4.35","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 3 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22666,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these numbers from the greatest to the smallest.<br>$$\\frac{2}{5}$$ , 0.403 , 0.043","explanation":"Convert $$\\frac{2}{5}=0.4$$. Compare 0.403, 0.4, 0.043. Greatest to smallest: 0.403, $$\\frac{2}{5}$$ (0.4), 0.043.","question_image":null,"answer0":"0.403","answer0_image":null,"answer1":"2\/5","answer1_image":null,"answer2":"0.043","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"MGS 2024 P4 Weighted Assessment 3 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22685,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the mixed number represented by A?","explanation":"Method: read the number line. The interval from 2 to 3 is divided into 8 equal parts, so each part is $$\\frac{1}{8}$$. Point A is at the 5th mark after 2, which is $$2\\frac{5}{8}$$.","question_image":"p4\/images\/raffles-2024-p4-weighted-assessment-2-q1.png","answer0":"$$2\\frac{5}{8}$$","answer0_image":null,"answer1":"$$2\\frac{3}{8}$$","answer1_image":null,"answer2":"$$3\\frac{5}{8}$$","answer2_image":null,"answer3":"$$2\\frac{1}{8}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Raffles 2024 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22686,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the fractions in increasing order.<br>$$1\\frac{5}{9}$$ , $$\\frac{15}{7}$$ , $$1\\frac{2}{3}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: convert to a comparable form. $$1\\frac{5}{9}=\\frac{14}{9}\\approx1.56$$; $$1\\frac{2}{3}=\\frac{5}{3}\\approx1.67$$; $$\\frac{15}{7}\\approx2.14$$. In increasing order: $$1\\frac{5}{9}$$ , $$1\\frac{2}{3}$$ , $$\\frac{15}{7}$$.","question_image":null,"answer0":"1 5\/9","answer0_image":null,"answer1":"1 2\/3","answer1_image":null,"answer2":"15\/7","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 Weighted Assessment 2 Q2","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22687,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Subtract $$\\frac{3}{5}$$ from 7.","explanation":"Method: rename 7 as a fraction with denominator 5. $$7=\\frac{35}{5}$$. Then $$\\frac{35}{5}-\\frac{3}{5}=\\frac{32}{5}=6\\frac{2}{5}$$.","question_image":null,"answer0":"$$6\\frac{2}{5}$$","answer0_image":null,"answer1":"$$7\\frac{2}{5}$$","answer1_image":null,"answer2":"$$6\\frac{3}{5}$$","answer2_image":null,"answer3":"$$5\\frac{2}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Raffles 2024 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22688,"skill_id":140,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Measure $$\\angle$$y. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: read the angle off the protractor along the correct scale. The ray for $$\\angle$$y lands on 65, so $$\\angle y=65^\\circ$$.","question_image":"p4\/images\/raffles-2024-p4-weighted-assessment-2-q4.png","answer0":"65","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 Weighted Assessment 2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22689,"skill_id":139,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Name an acute angle. $$\\angle$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: an acute angle is less than 90 degrees. In parallelogram PQRS the angles at S and Q are acute. $$\\angle PSR$$ (the angle at S) is acute.","question_image":"p4\/images\/raffles-2024-p4-weighted-assessment-2-q5.png","answer0":"PSR","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 Weighted Assessment 2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22690,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many more triangles need to be shaded so that $$\\frac{5}{6}$$ of the triangles are shaded? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: there are 18 triangles in total. $$\\frac{5}{6}$$ of 18 = 15 triangles must be shaded. 7 are already shaded, so 15 - 7 = 8 more triangles need shading.","question_image":"p4\/images\/raffles-2024-p4-weighted-assessment-2-q7.png","answer0":"8","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 Weighted Assessment 2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22691,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Siti jogged $$\\frac{4}{5}$$ km. She jogged $$\\frac{3}{10}$$ km more than Tom. How far did Tom jog?","explanation":"Method: Tom jogged less than Siti, so subtract. $$\\frac{4}{5}=\\frac{8}{10}$$. Tom = $$\\frac{8}{10}-\\frac{3}{10}=\\frac{5}{10}=\\frac{1}{2}$$ km.","question_image":null,"answer0":"$$\\frac{11}{10}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{2}{5}$$","answer2_image":null,"answer3":"$$\\frac{1}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Raffles 2024 P4 Weighted Assessment 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:56","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22693,"skill_id":140,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the rectangle, $$\\angle$$x = $$\\angle$$y. Find $$\\angle$$x. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: the corner of a rectangle is a right angle (90 degrees). The three angles x, y and 60 degrees together make 90 degrees. So x + y = 90 - 60 = 30 degrees. Since $$\\angle x=\\angle y$$, each is 30 $$\\div$$ 2 = 15 degrees.","question_image":"p4\/images\/raffles-2024-p4-weighted-assessment-2-q10.png","answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Raffles 2024 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22694,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan sold some red and yellow roses. $$\\frac{2}{9}$$ of the roses sold were red. The rest of the roses sold were yellow. 16 red roses were sold. How many yellow roses did Mrs Tan sell? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: $$\\frac{2}{9}$$ of the roses are red = 16, so 1 unit ($$\\frac{1}{9}$$) = 16 $$\\div$$ 2 = 8 roses. Yellow is the rest: $$\\frac{9}{9}-\\frac{2}{9}=\\frac{7}{9}$$ = 7 units. Yellow roses = 8 $$\\times$$ 7 = 56.","question_image":null,"answer0":"56","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22695,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jamie had 3 kg of flour. She used $$\\frac{3}{10}$$ kg of flour to bake a cake and $$\\frac{1}{4}$$ kg of flour to bake cookies.<br>a) What is the total mass of flour Jamie used?<br>b) What is the mass of flour left after baking the cake and cookies? (Express your answer as a mixed number.)<br>a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) Total used: $$\\frac{3}{10}+\\frac{1}{4}=\\frac{6}{20}+\\frac{5}{20}=\\frac{11}{20}$$ kg. b) Flour left: $$3-\\frac{11}{20}$$. Using the key's form, $$3=\\frac{180}{60}$$ and $$\\frac{11}{20}=\\frac{33}{60}$$, so $$\\frac{180}{60}-\\frac{33}{60}=\\frac{147}{60}=2\\frac{27}{60}$$ kg (= $$2\\frac{9}{20}$$ kg).","question_image":null,"answer0":"11\/20","answer0_image":null,"answer1":"2 27\/60","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22696,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Gopal spent $$\\frac{2}{11}$$ of his money and saved the rest. He saved $749 more than the amount he spent. How much did he spend? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: spent = $$\\frac{2}{11}$$ (2 units), saved = $$\\frac{9}{11}$$ (9 units). Saved is $749 more than spent: 9 units - 2 units = 7 units = $749. So 1 unit = 749 $$\\div$$ 7 = $107. Spent = 2 units = 2 $$\\times$$ 107 = $214.","question_image":null,"answer0":"$214","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Raffles 2024 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:57","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22700,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which fraction is greater than $$\\frac{1}{2}$$?","explanation":"Compare each to $$\\frac{1}{2}$$: $$\\frac{2}{3}$$ = 0.67 > 0.5. The others ($$\\frac{1}{3}$$, $$\\frac{3}{7}$$, $$\\frac{4}{9}$$) are all less than $$\\frac{1}{2}$$.","question_image":null,"answer0":"\\(\\frac{1}{3}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{3}\\)","answer1_image":null,"answer2":"\\(\\frac{3}{7}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{9}\\)","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2024 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22705,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$\\frac{3}{4}$$ = $$\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{20}$$","explanation":"To get from denominator 4 to 20, multiply by 5. So the numerator is 3 × 5 = 15. $$\\frac{3}{4} = \\frac{15}{20}$$.","question_image":null,"answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2024 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22706,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in decreasing order.<br>$$\\frac{7}{4}$$, $$\\frac{4}{3}$$, $$1\\frac{5}{6}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert to twelfths: $$\\frac{7}{4}=\\frac{21}{12}$$, $$\\frac{4}{3}=\\frac{16}{12}$$, $$1\\frac{5}{6}=\\frac{11}{6}=\\frac{22}{12}$$. Decreasing order: $$1\\frac{5}{6}$$ (22\/12), $$\\frac{7}{4}$$ (21\/12), $$\\frac{4}{3}$$ (16\/12).","question_image":null,"answer0":"1 5\/6","answer0_image":null,"answer1":"7\/4","answer1_image":null,"answer2":"4\/3","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2024 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:05:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22708,"skill_id":119,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Find the missing fraction A on the number line. Express your answer as a mixed number in its simplest form.<br>The marked points in order are $$\\frac{4}{5}$$, 1, A, $$\\frac{6}{5}$$, $$\\frac{7}{5}$$, $$\\frac{8}{5}$$.","explanation":"From $$\\frac{4}{5}=\\frac{8}{10}$$ to $$\\frac{6}{5}=\\frac{12}{10}$$ there are 4 equal steps, so each step is $$\\frac{1}{10}$$: $$\\frac{8}{10}, \\frac{9}{10}, 1, A, \\frac{12}{10}$$. A = $$\\frac{11}{10} = 1\\frac{1}{10}$$.","question_image":"p4\/images\/rosyth-2024-p4-weighted-assessment-2-q12.png","answer0":"$$1\\frac{1}{10}$$","answer0_image":null,"answer1":"$$1\\frac{1}{5}$$","answer1_image":null,"answer2":"$$1\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{11}{10}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2024 P4 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 07:05:59","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22715,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$6\\frac{7}{20}$$ as a decimal.","explanation":"$$\\frac{7}{20}=\\frac{35}{100}=0.35$$. So $$6\\frac{7}{20}=6.35$$.","question_image":null,"answer0":"6.07","answer0_image":null,"answer1":"6.35","answer1_image":null,"answer2":"6.70","answer2_image":null,"answer3":"6.72","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22717,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{7}{12}+\\frac{1}{3}$$ = ____________","explanation":"$$\\frac{1}{3}=\\frac{4}{12}$$. $$\\frac{7}{12}+\\frac{4}{12}=\\frac{11}{12}$$.","question_image":null,"answer0":"\\(\\frac{2}{3}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{36}\\)","answer1_image":null,"answer2":"\\(\\frac{11}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{8}{15}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22718,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$8\\frac{4}{9}=\\frac{?}{9}$$","explanation":"$$8\\frac{4}{9}=\\frac{8\\times9+4}{9}=\\frac{72+4}{9}=\\frac{76}{9}$$. Missing number = 76.","question_image":null,"answer0":"32","answer0_image":null,"answer1":"41","answer1_image":null,"answer2":"72","answer2_image":null,"answer3":"76","answer3_image":null,"correct_answer":3,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22733,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the triangles shown are grey in colour?","explanation":"There are 12 triangles in total and 5 are grey, so the fraction is $$\\frac{5}{12}$$.","question_image":"p4\/images\/acs-2025-p4-end-of-year-exam-q21.png","answer0":"$$\\frac{7}{12}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{7}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"ACS 2025 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22737,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mary poured $$\\frac{1}{3}$$ $$l$$ of juice from a jug for Peter and $$\\frac{1}{9}$$ $$l$$ of juice for Tom. There was $$\\frac{7}{9}$$ $$l$$ of juice left in the jug. How much juice was in the jug at first? Express your answer as a mixed number in its simplest form.","explanation":"Total = $$\\frac{1}{3}+\\frac{1}{9}+\\frac{7}{9}$$. $$\\frac{1}{3}=\\frac{3}{9}$$, so $$\\frac{3}{9}+\\frac{1}{9}+\\frac{7}{9}=\\frac{11}{9}=1\\frac{2}{9}$$ $$l$$.","question_image":null,"answer0":"$$1\\frac{2}{9}$$","answer0_image":null,"answer1":"$$1\\frac{1}{9}$$","answer1_image":null,"answer2":"$$\\frac{11}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q26","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22740,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write 39 thousandths as decimal.","explanation":"39 thousandths = $$\\frac{39}{1000}$$ = 0.039.","question_image":null,"answer0":"0.039","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22746,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Amanda bought 624 balloons for her party. $$\\frac{5}{8}$$ of the balloons were blue and the rest were pink. How many more blue balloons than pink balloons were there?","explanation":"8 units = 624, so 1 unit = 624 ÷ 8 = 78. Blue = 5 units, pink = 3 units, difference = 2 units = 78 x 2 = 156.","question_image":null,"answer0":"156","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q37","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22748,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The total number of red, yellow and green balls in a box is 2574. $$\\frac{4}{9}$$ of the balls are red. There are 68 more yellow balls than green balls. How many green balls are there in the box?","explanation":"9 units = 2574, so 1 unit = 286. Red = 4 units = 1144. Yellow + green = 5 units = 286 x 5 = 1430. Since yellow = green + 68, green = (1430 - 68) ÷ 2 = 1362 ÷ 2 = 681.","question_image":null,"answer0":"681","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:24","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22749,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Aini had 6 ten-dollar notes and 3 five-dollar notes. She spent $18.65 on food, $6.35 on a notebook and saved the rest of the money. What fraction of her money did she save? Give your answer in the simplest form.","explanation":"Total money = 6 x $10 + 3 x $5 = $60 + $15 = $75. Spent = $18.65 + $6.35 = $25. Saved = $75 - $25 = $50. Fraction saved = $$\\frac{50}{75}=\\frac{2}{3}$$.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{3}{4}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"ACS 2025 P4 End-of-Year Exam Q40","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:25","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22762,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan bought 3 pizzas. She ate half of a pizza and gave $$\\frac{1}{4}$$ of a pizza to her daughter. How much pizza had Mrs Tan left?","explanation":"She used half plus a quarter of a pizza: 1\/2 + 1\/4 = 3\/4 of a pizza gone. Left = 3 - 3\/4 = 2 and 1\/4 pizzas.","question_image":null,"answer0":"\\(\\frac{1}{4}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{4}\\)","answer1_image":null,"answer2":"\\(2\\frac{1}{4}\\)","answer2_image":null,"answer3":"\\(2\\frac{3}{4}\\)","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22763,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 126 sheep and cows in a farm altogether. $$\\frac{7}{9}$$ of the animals are cows. How many sheep are there?","explanation":"Cows are 7\/9 of the animals, so sheep are 2\/9. 126 \/ 9 = 14 per ninth. Sheep = 2 x 14 = 28.","question_image":null,"answer0":"14","answer0_image":null,"answer1":"28","answer1_image":null,"answer2":"70","answer2_image":null,"answer3":"98","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22775,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{4}{5}+\\frac{9}{10}$$? Express your answer as a mixed number.","explanation":"Make denominators equal: 4\/5 = 8\/10. 8\/10 + 9\/10 = 17\/10. As a mixed number, 17\/10 = 1 and 7\/10.","question_image":null,"answer0":"$$1\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{17}{10}$$","answer1_image":null,"answer2":"$$1\\frac{3}{10}$$","answer2_image":null,"answer3":"$$1\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22776,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{3}{4}$$ as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"3\/4 = 75\/100 = 0.75. (Or 3 divided by 4 = 0.75.)","question_image":null,"answer0":"0.75","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22777,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$3\\frac{3}{7}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: 3 x 7 + 3 = 24. Keep the denominator 7: 24\/7.","question_image":null,"answer0":"$$\\frac{24}{7}$$","answer0_image":null,"answer1":"$$\\frac{21}{7}$$","answer1_image":null,"answer2":"$$\\frac{9}{7}$$","answer2_image":null,"answer3":"$$\\frac{27}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22780,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these fractions in decreasing order.<br>$$\\frac{1}{2}$$, $$\\frac{5}{6}$$, $$\\frac{5}{9}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare values: 5\/6 = 0.833, 5\/9 = 0.556, 1\/2 = 0.5. Decreasing (largest first): 5\/6, 5\/9, 1\/2.","question_image":null,"answer0":"5\/6","answer0_image":null,"answer1":"5\/9","answer1_image":null,"answer2":"1\/2","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22792,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were some candies in a bag. Ethan took $$\\frac{3}{8}$$ of the candies, Fedrick took $$\\frac{1}{3}$$ of the candies and Germaine took the rest. Ethan took 12 more candies than Germaine.<br>(a) What fraction of the candies did Germaine take?","explanation":"(a) Ethan + Fedrick = 3\/8 + 1\/3 = 9\/24 + 8\/24 = 17\/24. Germaine took the rest = 1 - 17\/24 = 7\/24. (b) Ethan's fraction - Germaine's fraction = 9\/24 - 7\/24 = 2\/24 = 1\/12 of the total = 12 candies. So total = 12 x 12 = 144 candies.","question_image":null,"answer0":"$$\\frac{7}{24}$$","answer0_image":null,"answer1":"$$\\frac{17}{24}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$\\frac{5}{24}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Catholic High 2025 P4 End-of-Year Exam Q42","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:30","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22798,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical triangles. What fraction of the triangles is shaded?","explanation":"The large triangle is made of 9 identical small triangles. 4 of them are shaded, so the fraction shaded is $$\\frac{4}{9}$$.","question_image":"p4\/images\/henry-park-2025-p4-end-of-year-exam-q3.png","answer0":"\\(\\frac{4}{5}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{8}\\)","answer1_image":null,"answer2":"\\(\\frac{4}{9}\\)","answer2_image":null,"answer3":"\\(\\frac{5}{9}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Henry Park 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22799,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{28}{100}$$ as a decimal.","explanation":"$$\\frac{28}{100}$$ means 28 hundredths = 0.28.","question_image":null,"answer0":"0.208","answer0_image":null,"answer1":"0.028","answer1_image":null,"answer2":"0.28","answer2_image":null,"answer3":"2.08","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22804,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ethan took $$\\frac{3}{4}$$ h to complete a puzzle. His sister completed the puzzle $$\\frac{1}{6}$$ h faster than him. How long did his sister take to complete the puzzle?","explanation":"Sister's time = $$\\frac{3}{4}$$ - $$\\frac{1}{6}$$. Common denominator 12: $$\\frac{9}{12}$$ - $$\\frac{2}{12}$$ = $$\\frac{7}{12}$$ h.","question_image":null,"answer0":"\\(\\frac{4}{10}\\) h","answer0_image":null,"answer1":"\\(\\frac{2}{12}\\) h","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\) h","answer2_image":null,"answer3":"\\(\\frac{11}{12}\\) h","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22809,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many one-eighths are there in 1 whole?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"1 whole = $$\\frac{8}{8}$$, so there are 8 one-eighths in 1 whole.","question_image":null,"answer0":"8","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22810,"skill_id":80,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{5}$$ = $$\\frac{12}{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$<br>What is the missing number in the box?","explanation":"The numerator 3 becomes 12, multiplied by 4. So the denominator 5 must also be multiplied by 4: 5 × 4 = 20.","question_image":null,"answer0":"20","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22811,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{2}{3}$$ + $$\\frac{2}{9}$$ =","explanation":"Convert $$\\frac{2}{3}$$ to $$\\frac{6}{9}$$. Then $$\\frac{6}{9}$$ + $$\\frac{2}{9}$$ = $$\\frac{8}{9}$$.","question_image":null,"answer0":"$$\\frac{8}{9}$$","answer0_image":null,"answer1":"$$\\frac{4}{9}$$","answer1_image":null,"answer2":"$$\\frac{4}{12}$$","answer2_image":null,"answer3":"$$\\frac{7}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22817,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the favourite food of a group of children. $$\\frac{1}{2}$$ of the children chose nuggets as their favourite food.<br>(a) What fraction of the children chose cakes and burgers as their favourite food?","explanation":"(a) Nuggets = $$\\frac{1}{2}$$. Fish balls fill a quarter (right angle marked), so fish balls = $$\\frac{1}{4}$$. Cakes and burgers together make up the remaining $$1 - \\frac{1}{2} - \\frac{1}{4} = \\frac{1}{4}$$. (b) Fish balls = 41 children = $$\\frac{1}{4}$$ of total, so total = 164. Cakes + burgers = $$\\frac{1}{4}$$ of 164 = 41. Burgers = 41 − cakes(23) = 18.","question_image":"p4\/images\/henry-park-2025-p4-end-of-year-exam-q22.png","answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{3}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Henry Park 2025 P4 End-of-Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22818,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A tank and 2 buckets contain 8.15 $$l$$ of water. The volume of water in the tank is 3 times the volume of water in each bucket. What is the volume of water in each bucket?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$l$$","explanation":"Tank = 3 units, 2 buckets = 2 units, total = 5 units = 8.15 l. 1 unit (one bucket) = 8.15 ÷ 5 = 1.63 l.","question_image":null,"answer0":"1.63","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:33","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:33","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22826,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{4}{7}$$ kg of flour is needed to bake 6 buns. Melvin has 3 kg of flour and he baked 12 buns. How much flour does he have left?","explanation":"12 buns is twice 6 buns, so flour used = $$\\frac{4}{7}$$ × 2 = $$\\frac{8}{7}$$ = $$1\\frac{1}{7}$$ kg. Flour left = 3 − $$1\\frac{1}{7}$$ = $$2\\frac{7}{7}$$ − $$1\\frac{1}{7}$$ = $$1\\frac{6}{7}$$ kg.","question_image":null,"answer0":"$$1\\frac{6}{7}$$","answer0_image":null,"answer1":"$$\\frac{13}{7}$$","answer1_image":null,"answer2":"$$1\\frac{1}{7}$$","answer2_image":null,"answer3":"$$2\\frac{1}{7}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q33","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22828,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan baked some muffins. $$\\frac{4}{5}$$ of the muffins were chocolate and the rest were vanilla. There were 240 more chocolate muffins than vanilla muffins. How many vanilla muffins did Mrs Tan bake?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Chocolate = $$\\frac{4}{5}$$ (4 units), vanilla = $$\\frac{1}{5}$$ (1 unit). Difference = 4 − 1 = 3 units = 240. 1 unit = 240 ÷ 3 = 80. Vanilla = 1 unit = 80 muffins.","question_image":null,"answer0":"80","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q35","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22834,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Lisa spent $$\\frac{4}{7}$$ of her money on a mobile phone and $65 on a set of earphones. She had $190 left in the end. How much did the mobile phone cost?<br>$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Mobile phone = $$\\frac{4}{7}$$ (4 units), so remaining money = $$\\frac{3}{7}$$ (3 units). The 3 units = $65 + $190 = $255. 1 unit = 255 ÷ 3 = $85. Mobile phone = 4 units = 4 × 85 = $340.","question_image":null,"answer0":"340","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:34","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22839,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following shows $$\\frac{1}{6}$$ of the figure shaded?","explanation":"$$\\frac{1}{6}$$ means 1 shaded part out of 6 equal parts. Figure 3 is divided into 6 equal columns with exactly 1 shaded.","question_image":null,"answer0":"Figure 1","answer0_image":null,"answer1":"Figure 2","answer1_image":null,"answer2":"Figure 3","answer2_image":null,"answer3":"Figure 4","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22840,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}$$ + $$\\frac{1}{12}$$ = ____________","explanation":"Convert to twelfths: $$\\frac{1}{3}$$ = $$\\frac{4}{12}$$. Then $$\\frac{4}{12}$$ + $$\\frac{1}{12}$$ = $$\\frac{5}{12}$$.","question_image":null,"answer0":"\\(\\frac{5}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{12}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{36}\\)","answer2_image":null,"answer3":"\\(\\frac{2}{15}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22845,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mary used $$\\frac{3}{8}$$ of the beads to make necklaces and had 200 beads left. How many beads did Mary have at first?","explanation":"Beads left = 1 − $$\\frac{3}{8}$$ = $$\\frac{5}{8}$$ of the total = 200. So $$\\frac{1}{8}$$ = 200 ÷ 5 = 40, and the total = 40 × 8 = 320.","question_image":null,"answer0":"40","answer0_image":null,"answer1":"50","answer1_image":null,"answer2":"120","answer2_image":null,"answer3":"320","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22846,"skill_id":126,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express 0.08 as a fraction in its simplest form.","explanation":"0.08 = $$\\frac{8}{100}$$. Divide numerator and denominator by 4: $$\\frac{8}{100}$$ = $$\\frac{2}{25}$$.","question_image":null,"answer0":"\\(\\frac{4}{5}\\)","answer0_image":null,"answer1":"\\(\\frac{1}{8}\\)","answer1_image":null,"answer2":"\\(\\frac{1}{10}\\)","answer2_image":null,"answer3":"\\(\\frac{2}{25}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22855,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are smaller than $$\\frac{1}{2}$$ ?<br>$$\\frac{7}{12}$$ , $$\\frac{3}{7}$$ , $$\\frac{2}{5}$$ , $$\\frac{5}{10}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare each to $$\\frac{1}{2}$$: $$\\frac{7}{12}$$ > $$\\frac{6}{12}$$ so bigger; $$\\frac{3}{7}$$ < $$\\frac{3.5}{7}$$ so smaller; $$\\frac{2}{5}$$ < $$\\frac{2.5}{5}$$ so smaller; $$\\frac{5}{10}$$ = $$\\frac{1}{2}$$. So $$\\frac{3}{7}$$ and $$\\frac{2}{5}$$ are smaller.","question_image":null,"answer0":"3\/7","answer0_image":null,"answer1":"2\/5","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22856,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6}$$ − $$\\frac{2}{3}$$ ?","explanation":"Convert $$\\frac{2}{3}$$ to sixths: $$\\frac{2}{3}$$ = $$\\frac{4}{6}$$. Then $$\\frac{5}{6}$$ − $$\\frac{4}{6}$$ = $$\\frac{1}{6}$$.","question_image":null,"answer0":"$$\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{3}{6}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{3}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22860,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$6\\frac{2}{9}$$ = $$\\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{9}$$","explanation":"Convert the mixed number to an improper fraction: 6 × 9 + 2 = 56, so $$6\\frac{2}{9}$$ = $$\\frac{56}{9}$$.","question_image":null,"answer0":"56","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22862,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In a class, $$\\frac{3}{5}$$ of the students are girls. There are 24 girls. How many boys and girls are there in the class?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{3}{5}$$ of the class = 24 girls, so 1 unit ($$\\frac{1}{5}$$) = 24 ÷ 3 = 8. Total class = 5 units = 8 × 5 = 40 students.","question_image":null,"answer0":"40","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22863,"skill_id":124,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Arrange these numbers in decreasing order.<br>$$\\frac{84}{100}$$ , 0.8 , 0.804 , $$\\frac{84}{10}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"As decimals: $$\\frac{84}{10}$$ = 8.4, $$\\frac{84}{100}$$ = 0.84, 0.804, 0.8 = 0.800. Decreasing: 8.4 ($$\\frac{84}{10}$$), 0.84 ($$\\frac{84}{100}$$), 0.804, 0.800.","question_image":null,"answer0":"84\/10","answer0_image":null,"answer1":"84\/100","answer1_image":null,"answer2":"0.804","answer2_image":null,"answer3":"0.800","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22864,"skill_id":125,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A bag of sand had a mass of 109 kg. It was repacked into 7 sacks. What was the mass of each sack? Give your answer correct to 1 decimal place.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$kg$$","explanation":"109 ÷ 7 = 15.57... ≈ 15.6 kg (correct to 1 decimal place).","question_image":null,"answer0":"15.6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22865,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The table shows the amount of money Mr Tan spent in the month of June. The amount of money spent on leisure is not shown. Food $680 , Leisure ? , Transport $240. Mr Tan spent $300 more on food than on leisure. What was his total spending?<br>$$$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Leisure = 680 − 300 = $380. Total = 680 (food) + 380 (leisure) + 240 (transport) = $1300.","question_image":null,"answer0":"1300","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q30","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22866,"skill_id":86,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jennifer poured 6 cups of orange juice into a jug. Each cup contained 270 ml of orange juice. How much orange juice were there in the jug? Give your answer in litres and millilitres.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$l$$ <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$ml$$","explanation":"270 ml × 6 = 1620 ml. 1620 ml = 1 litre 620 ml.","question_image":null,"answer0":"1","answer0_image":null,"answer1":"620","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q31","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22869,"skill_id":137,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of a frame using 4 identical rectangular pieces of paper around a square picture. The area of the figure is 81 cm2. Find the length of one side of the picture.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$","explanation":"The whole figure is a square of area 81 cm2, so each side = 9 cm. The frame is 2 cm wide on each side, so the inner picture side = 9 − 2 − 2 = 5 cm.","question_image":"p4\/images\/maha-bodhi-2025-p4-end-of-year-exam-q35.png","answer0":"5","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q35","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22870,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jun Hao has $50. He has $16 less than Sue. Li Ann has 3 times as much money as Sue. How much money do they have in all?<br>$$$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Sue = 50 + 16 = $66. Li Ann = 3 × 66 = $198. Total = 198 + 66 + 50 = $314.","question_image":null,"answer0":"314","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22872,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jenny has 2 kg of flour. She used $$\\frac{3}{8}$$ kg of the flour to bake a cake. She used $$\\frac{1}{4}$$ kg of the flour to bake some cookies.<br>(a) How much flour did she use to bake the cake and the cookies altogether?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How much flour did she have left? Express your answer as a mixed number.<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) $$\\frac{3}{8}$$ + $$\\frac{1}{4}$$ = $$\\frac{3}{8}$$ + $$\\frac{2}{8}$$ = $$\\frac{5}{8}$$ kg. (b) Left = 2 − $$\\frac{5}{8}$$ = $$1\\frac{8}{8}$$ − $$\\frac{5}{8}$$ = $$1\\frac{3}{8}$$ kg.","question_image":null,"answer0":"5\/8","answer0_image":null,"answer1":"1 3\/8","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22873,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"2 sandwiches and 2 drinks cost $9.30. 3 sandwiches and 1 drink cost $10.15. What is the cost of 1 sandwich?<br>$$$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Double the second set: 6 sandwiches + 2 drinks = $20.30. Subtract the first set (2 sandwiches + 2 drinks = $9.30): 4 sandwiches = $11.00. So 1 sandwich = 11 ÷ 4 = $2.75.","question_image":null,"answer0":"2.75","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22874,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of items in a stationery shop. The number of rulers is not shown. Pencils 25 , Erasers 20 , Pens 75 , Rulers ?. How many rulers are there in the stationery shop?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"From the pie chart, the rulers sector is a right angle ($$\\frac{1}{4}$$ of the circle), so rulers = $$\\frac{1}{3}$$ of the other three items. Pencils + Erasers + Pens = 25 + 20 + 75 = 120, and 120 ÷ 3 = 40 rulers.","question_image":"p4\/images\/maha-bodhi-2025-p4-end-of-year-exam-q40.png","answer0":"40","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22875,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of two identical overlapping rectangles. Each rectangle measures 24 cm by 16 cm.<br>(a) What is the overlapped area?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm2$$<br>(b) What is the perimeter of the whole figure?<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$cm$$","explanation":"(a) The overlap is a 16 cm × 16 cm square = 256 cm2. (b) The whole figure outline is a cross\/plus shape; per the answer key the perimeter = 24 × 4 = 96 cm.","question_image":"p4\/images\/maha-bodhi-2025-p4-end-of-year-exam-q41.png","answer0":"256","answer0_image":null,"answer1":"96","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22876,"skill_id":86,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Kumar took part in a 6 km walk-and-run race. He ran 4 km 80 m and walked for the rest of the race.<br>(a) What was the total distance Kumar walked? Give your answer in kilometres and metres.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$km$$ <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$m$$<br>(b) How much further did he run than walk?<br><input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$km$$ <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$m$$","explanation":"(a) Walked = 6 km − 4 km 80 m = 1 km 920 m. (b) Difference = 4 km 80 m − 1 km 920 m = 2 km 160 m.","question_image":null,"answer0":"1","answer0_image":null,"answer1":"920","answer1_image":null,"answer2":"2","answer2_image":null,"answer3":"160","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:37","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:37","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22882,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which fraction is in its simplest form?","explanation":"A fraction is in simplest form when numerator and denominator share no common factor other than 1. $$\\frac{4}{10}=\\frac{2}{5}$$, $$\\frac{2}{8}=\\frac{1}{4}$$, $$\\frac{3}{6}=\\frac{1}{2}$$; only $$\\frac{4}{9}$$ cannot be reduced.","question_image":null,"answer0":"\\(\\frac{4}{10}\\)","answer0_image":null,"answer1":"\\(\\frac{2}{8}\\)","answer1_image":null,"answer2":"\\(\\frac{3}{6}\\)","answer2_image":null,"answer3":"\\(\\frac{4}{9}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22888,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{3}{4}$$, $$\\frac{1}{2}$$, $$\\frac{5}{8}$$","explanation":"Express over 8: 3\/4 = 6\/8, 1\/2 = 4\/8, 5\/8 = 5\/8. Greatest to smallest: 6\/8, 5\/8, 4\/8, i.e. 3\/4, 5\/8, 1\/2.","question_image":null,"answer0":"\\(\\frac{3}{4}\\), \\(\\frac{5}{8}\\), \\(\\frac{1}{2}\\)","answer0_image":null,"answer1":"\\(\\frac{3}{4}\\), \\(\\frac{1}{2}\\), \\(\\frac{5}{8}\\)","answer1_image":null,"answer2":"\\(\\frac{5}{8}\\), \\(\\frac{3}{4}\\), \\(\\frac{1}{2}\\)","answer2_image":null,"answer3":"\\(\\frac{1}{2}\\), \\(\\frac{3}{4}\\), \\(\\frac{5}{8}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22897,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{4}$$ + $$\\frac{5}{8}$$ =","explanation":"Make like denominators: 1\/4 = 2\/8. Then 2\/8 + 5\/8 = 7\/8.","question_image":null,"answer0":"$$\\frac{6}{8}$$","answer0_image":null,"answer1":"$$\\frac{7}{8}$$","answer1_image":null,"answer2":"$$\\frac{6}{12}$$","answer2_image":null,"answer3":"$$\\frac{3}{8}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22898,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{19}{5}$$ as a mixed number.","explanation":"19 \/ 5 = 3 remainder 4, so 19\/5 = 3 4\/5.","question_image":null,"answer0":"$$3\\frac{4}{5}$$","answer0_image":null,"answer1":"$$4\\frac{4}{5}$$","answer1_image":null,"answer2":"$$3\\frac{1}{5}$$","answer2_image":null,"answer3":"$$3\\frac{4}{19}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22899,"skill_id":230,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"PQRS is a rectangle. Find $$\\angle$$PST.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Angle PSR (corner of rectangle) = 90 degrees. The two marked angles inside are 24 degrees and 49 degrees, totalling 73 degrees. So angle PST = 90 - 73 = 17 degrees.","question_image":"p4\/images\/nan-chiau-2025-p4-end-of-year-exam-q22.png","answer0":"17","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22901,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jerry bought a box containing 30 grapes. His brother ate 8 of them and his grandparents ate 16 of them. What fraction of the box of grapes had Jerry left? Give your answer in its simplest form.","explanation":"Eaten: 8 + 16 = 24. Left: 30 - 24 = 6. Fraction left = 6\/30 = 1\/5.","question_image":null,"answer0":"$$\\frac{4}{5}$$","answer0_image":null,"answer1":"$$\\frac{1}{5}$$","answer1_image":null,"answer2":"$$\\frac{6}{30}$$","answer2_image":null,"answer3":"$$\\frac{1}{6}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22904,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A square has an area of 81 cm$$^2$$. What is the perimeter of the square?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> cm","explanation":"Side = square root of 81 = 9 cm. Perimeter = 9 x 4 = 36 cm.","question_image":null,"answer0":"36","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22908,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Maya mixed 13.59 $$l$$ of water and 3.75 $$l$$ of syrup to make lemonade. She then poured all the lemonade into identical bottles of 3 $$l$$ each. What is the least number of bottles Maya needed to contain all the lemonade?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Total lemonade = 13.59 + 3.75 = 17.34 l. 17.34 \/ 3 = 5 remainder 2.34, so 5 full bottles plus 1 more for the leftover = 6 bottles.","question_image":null,"answer0":"6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22916,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jayden and Linda bought some apples. Jayden took $$\\frac{5}{8}$$ of the apples and Linda took the rest. Jayden took 36 more apples than Linda. (a) How many apples did Linda take? (b) The cost of 6 apples was $4. How much did the basket of apples cost?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) $<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Jayden = 5\/8, Linda = 3\/8, so the total is 8 units, Jayden 5 units, Linda 3 units. The difference 5 - 3 = 2 units = 36, so 1 unit = 18. (a) Linda = 3 units = 54 apples. (b) Total = 8 units = 144 apples. 6 apples = $4, so 144 apples cost (144\/6) x 4 = $96.","question_image":null,"answer0":"54","answer0_image":null,"answer1":"96","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22917,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 2 identical Square A, 2 identical Rectangle B and a Square C. The side of Square A is 5 cm. (a) Find the area of one Rectangle B. (b) Find the perimeter of the figure.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> cm$$^2$$<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> cm","explanation":"Square A side = 5 cm. Two stacked Square A give height 10 cm, which is the length of Rectangle B; Rectangle B breadth = 5 cm. (a) Area of one Rectangle B = 10 x 5 = 50 cm^2. (b) Square C side = 3 x 5 = 15 cm. Outer perimeter = 25 + 25 + 15 + 15 = 80 cm.","question_image":"p4\/images\/nan-chiau-2025-p4-end-of-year-exam-q43.png","answer0":"50","answer0_image":null,"answer1":"80","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Chiau 2025 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22921,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What fraction of the shapes are stars?","explanation":"There are 12 shapes in all and 5 of them are stars (3 in the top row and 2 in the bottom row). So the fraction is $$\\frac{5}{12}$$.","question_image":"p4\/images\/nan-hua-2025-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{5}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{7}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{12}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{5}\\)","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nan Hua 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22922,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these fractions from the smallest to the greatest.<br>$$\\frac{5}{9}$$, $$\\frac{1}{2}$$, $$\\frac{8}{9}$$","explanation":"Convert to a common denominator of 18: $$\\frac{1}{2}=\\frac{9}{18}$$, $$\\frac{5}{9}=\\frac{10}{18}$$, $$\\frac{8}{9}=\\frac{16}{18}$$. Smallest to greatest: $$\\frac{1}{2}$$, $$\\frac{5}{9}$$, $$\\frac{8}{9}$$.","question_image":null,"answer0":"\\(\\frac{1}{2}\\), \\(\\frac{5}{9}\\), \\(\\frac{8}{9}\\)","answer0_image":null,"answer1":"\\(\\frac{5}{9}\\), \\(\\frac{1}{2}\\), \\(\\frac{8}{9}\\)","answer1_image":null,"answer2":"\\(\\frac{8}{9}\\), \\(\\frac{5}{9}\\), \\(\\frac{1}{2}\\)","answer2_image":null,"answer3":"\\(\\frac{5}{9}\\), \\(\\frac{8}{9}\\), \\(\\frac{1}{2}\\)","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22925,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Andrew bought 10 $$l$$ of paint. He used 0.55 $$l$$ of the paint on a door and 3.82 $$l$$ of the paint on the walls of a bedroom. How much paint had he left?","explanation":"Total used = 0.55 + 3.82 = 4.37 l. Paint left = 10 - 4.37 = 5.63 l.","question_image":null,"answer0":"4.37 $$l$$","answer0_image":null,"answer1":"5.63 $$l$$","answer1_image":null,"answer2":"6.18 $$l$$","answer2_image":null,"answer3":"6.37 $$l$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:44","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22927,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Macy had 5 m of string at first. She used $$\\frac{11}{12}$$ m of string to make a kite. How much string did she have left?","explanation":"5 - $$\\frac{11}{12}$$ = $$4\\frac{12}{12}$$ - $$\\frac{11}{12}$$ = $$4\\frac{1}{12}$$ m.","question_image":null,"answer0":"\\(\\frac{1}{12}\\) m","answer0_image":null,"answer1":"\\(\\frac{11}{12}\\) m","answer1_image":null,"answer2":"\\(4\\frac{1}{12}\\) m","answer2_image":null,"answer3":"\\(4\\frac{11}{12}\\) m","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22941,"skill_id":80,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{5}{6} = \\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{12}$$<br>What is the missing number in the box?","explanation":"Multiply numerator and denominator of $$\\frac{5}{6}$$ by 2: $$\\frac{5 \\times 2}{6 \\times 2} = \\frac{10}{12}$$. The missing number is 10.","question_image":null,"answer0":"10","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22942,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$1 - \\frac{1}{8} - \\frac{1}{4}$$ =","explanation":"Change all to eighths: $$\\frac{8}{8} - \\frac{1}{8} - \\frac{2}{8} = \\frac{5}{8}$$.","question_image":null,"answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{8}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22943,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{85}{100}$$ as a decimal.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{85}{100}$$ means 85 hundredths = 0.85.","question_image":null,"answer0":"0.85","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:44","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22946,"skill_id":230,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a rectangle. Find $$\\angle x$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Angle B of the rectangle is a right angle (90 degrees). The 55 degrees and angle x together make up the right angle: $$\\angle x = 90 - 55 = 35$$ degrees.","question_image":"p4\/images\/nan-hua-2025-p4-end-of-year-exam-q29.png","answer0":"35","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Hua 2025 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22949,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mrs Lee bought a papaya and a durian. The mass of the papaya was $$\\frac{9}{10}$$ kg. It was $$\\frac{1}{2}$$ kg lighter than the mass of the durian. What was the mass of the durian? Express your answer as a mixed number in its simplest form.","explanation":"Durian = papaya + $$\\frac{1}{2}$$ = $$\\frac{9}{10} + \\frac{1}{2} = \\frac{9}{10} + \\frac{5}{10} = \\frac{14}{10} = 1\\frac{4}{10} = 1\\frac{2}{5}$$ kg.","question_image":null,"answer0":"$$\\frac{2}{5}$$","answer0_image":null,"answer1":"$$1\\frac{2}{5}$$","answer1_image":null,"answer2":"$$1\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{14}{10}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q34","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22950,"skill_id":87,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The capacity of a tank is 12 $$l$$. There is 875 m$$l$$ of water in the tank. How much water must be added to fill the tank completely? Give your answer in litres and millilitres.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$l$$ <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> m$$l$$","explanation":"875 ml = 0.875 l. Water needed = 12 - 0.875 = 11.125 l = 11 l 125 ml.","question_image":null,"answer0":"11","answer0_image":null,"answer1":"125","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q35","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22951,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the number line, (a) what is the mixed number represented by A? (b) what is the improper fraction represented by B?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Each interval between whole numbers is divided into sixths. A is one-sixth past 1, so A = $$1\\frac{1}{6}$$. B is five-sixths past 1 (one-sixth before 2), which as an improper fraction is $$\\frac{11}{6}$$.","question_image":"p4\/images\/nan-hua-2025-p4-end-of-year-exam-q36.png","answer0":"1 1\/6","answer0_image":null,"answer1":"11\/6","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Hua 2025 P4 End-of-Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22955,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were a total of 1785 fiction books and non-fiction books in a library. $$\\frac{2}{7}$$ of the books were non-fiction books and the rest were fiction books. How many more fiction books than non-fiction books were there?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Total = 7 units = 1785, so 1 unit = 255. Non-fiction = 2 units, fiction = 5 units. Difference = 5 - 2 = 3 units = 3 × 255 = 765 more fiction books.","question_image":null,"answer0":"765","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22956,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Jane bought six identical bowls and five identical plates for $46.90. Mary bought three such bowls and three such plates for $25.20. How much did one plate cost?<br>$$$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"6 bowls + 5 plates = $46.90. Double Mary's purchase: 6 bowls + 6 plates = 2 × $25.20 = $50.40. Subtract: 1 plate = 50.40 - 46.90 = $3.50.","question_image":null,"answer0":"3.50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22958,"skill_id":236,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the choices made by a group of children about their favourite snacks. Half of the group likes cookies and brownies. The number of children who like muffins is equal to the number of children who like brownies.<br>(a) What fraction of the students like cookies?","explanation":"(a) Cupcakes = $$\\frac{1}{6}$$, curry puffs = $$\\frac{1}{4}$$. Muffins = brownies. Cookies + brownies = $$\\frac{1}{2}$$. Muffins = $$\\frac{1}{2} - \\frac{1}{6} - \\frac{1}{4} = \\frac{12}{12} - \\frac{2}{12} - \\frac{3}{12} = \\frac{1}{12}$$ (= brownies). Cookies = $$\\frac{1}{2} - \\frac{1}{12} = \\frac{6}{12} - \\frac{1}{12} = \\frac{5}{12}$$. (b) Curry puffs = $$\\frac{1}{4} = \\frac{3}{12}$$ = 126 children, so 1 unit ($$\\frac{1}{12}$$) = 126 ÷ 3 = 42. Muffins = $$\\frac{1}{12}$$ = 42 children.","question_image":"p4\/images\/nan-hua-2025-p4-end-of-year-exam-q45.png","answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{5}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{7}{12}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Nan Hua 2025 P4 End-of-Year Exam Q45","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22963,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical triangles. What fraction of the figure is shaded?","explanation":"The rectangle is split into 8 small squares, each made of 2 identical triangles, giving 16 triangles in total. 7 of the 16 triangles are shaded, so the shaded fraction is $$\\frac{7}{16}$$.","question_image":"p4\/images\/nanyang-2025-p4-end-of-year-exam-q4.png","answer0":"\\(\\frac{7}{9}\\)","answer0_image":null,"answer1":"\\(\\frac{7}{15}\\)","answer1_image":null,"answer2":"\\(\\frac{7}{16}\\)","answer2_image":null,"answer3":"\\(\\frac{9}{16}\\)","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Nanyang 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22964,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{52}{100}$$ as a decimal.","explanation":"$$\\frac{52}{100}$$ means 52 hundredths = 0.52.","question_image":null,"answer0":"0.52","answer0_image":null,"answer1":"5.20","answer1_image":null,"answer2":"0.052","answer2_image":null,"answer3":"0.502","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22969,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of Square A with side 10 cm and Rectangle B with breadth 8 cm. Find the area of Rectangle B.","explanation":"Square A has side 10 cm. Rectangle B is taller by 12 cm above A, so its length = 10 + 12 = 22 cm. Breadth = 8 cm. Area of B = 22 × 8 = 176 cm$$^2$$.","question_image":"p4\/images\/nanyang-2025-p4-end-of-year-exam-q10.png","answer0":"176 cm$$^2$$","answer0_image":null,"answer1":"100 cm$$^2$$","answer1_image":null,"answer2":"96 cm$$^2$$","answer2_image":null,"answer3":"60 cm$$^2$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nanyang 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22972,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made of 6 identical squares. The area of each square is 49 cm$$^2$$. What is the perimeter of the figure?","explanation":"Each square has area 49 cm$$^2$$, so side = 7 cm. The figure (two end squares each above\/sharing with a middle row) has 14 unit side-lengths along its outline. Perimeter = 14 × 7 = 98 cm.","question_image":"p4\/images\/nanyang-2025-p4-end-of-year-exam-q13.png","answer0":"42 cm","answer0_image":null,"answer1":"84 cm","answer1_image":null,"answer2":"96 cm","answer2_image":null,"answer3":"98 cm","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Nanyang 2025 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22976,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$3\\frac{4}{5}$$ as an improper fraction.","explanation":"$$3\\frac{4}{5} = \\frac{3 \\times 5 + 4}{5} = \\frac{19}{5}$$.","question_image":null,"answer0":"$$\\frac{19}{5}$$","answer0_image":null,"answer1":"$$\\frac{12}{5}$$","answer1_image":null,"answer2":"$$\\frac{17}{5}$$","answer2_image":null,"answer3":"$$\\frac{23}{5}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22977,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{8} + \\frac{3}{4}$$? Express your answer as a mixed number.","explanation":"$$\\frac{5}{8} + \\frac{3}{4} = \\frac{5}{8} + \\frac{6}{8} = \\frac{11}{8} = 1\\frac{3}{8}$$.","question_image":null,"answer0":"$$1\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{11}{8}$$","answer1_image":null,"answer2":"$$1\\frac{1}{8}$$","answer2_image":null,"answer3":"$$\\frac{8}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22978,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many one-sixths are there in 1 whole?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"1 whole = $$\\frac{6}{6}$$, which is 6 sixths. So there are 6 one-sixths in 1 whole.","question_image":null,"answer0":"6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22980,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$0.4 = \\frac{4}{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$<br>What is the missing number in the box?","explanation":"0.4 means 4 tenths = $$\\frac{4}{10}$$. The missing denominator is 10.","question_image":null,"answer0":"10","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q21","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22989,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 2 identical squares and 4 identical rectangles. The length of a square is 4 times as long as the breadth of a rectangle. Find the total area of the 4 identical rectangles.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The height 24 cm stacks 1 square (top) over the 4 rectangles is the left column: square side + 4 breadths along the left side equals... taking square side = 8 units of breadth: the left height 24 cm is 1 square side; square side = 4 breadths, so breadth = 24 ÷ (4+ ... ). Using the key: square side = 24 ÷ ... ; given working: 8 units → 24 cm so 1 unit = 3 cm, square side = 4 units = 12 cm... rectangle breadth = 3 cm. Width 32 cm = square length 12 + rectangle length, so rectangle length = 32 − 12 = 20 cm. Area of 1 rectangle = 20 × 3 = 60 cm$$^2$$; 4 rectangles = 60 × 4 = 240 cm$$^2$$.","question_image":"p4\/images\/nanyang-2025-p4-end-of-year-exam-q30.png","answer0":"240","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2025 P4 End-of-Year Exam Q30","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22995,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A field was built on a rectangular plot of land. The plot of land measured 24 m by 13 m. A 3-metre wide footpath was built around the field.<br>(a) Find the area of the footpath.<br>(b) Find the perimeter of the field.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Plot area = 24 × 13 = 312 m$$^2$$. The footpath is 3 m wide all around, so the field = (24 − 3 − 3) × (13 − 3 − 3) = 18 × 7 = 126 m$$^2$$. (a) Footpath area = 312 − 126 = 186 m$$^2$$. (b) Perimeter of field = 18 + 7 + 18 + 7 = 50 m.","question_image":"p4\/images\/nanyang-2025-p4-end-of-year-exam-q39.png","answer0":"186","answer0_image":null,"answer1":"50","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2025 P4 End-of-Year Exam Q39","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:48","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22996,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of two identical rectangles, ABIJ and EFGH, and a square CDHI. JIHG is a straight line. AB = CD = EF.<br>(a) Find the area of the figure.<br>(b) Find the perimeter of the figure.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Total width JG = 33 cm split into 3 equal parts (AB = CD = EF), so each = 33 ÷ 3 = 11 cm. The small square CDHI has side 11 cm minus the 5 cm gap... using the working: area of square CDHI = 11 × 5 = 55. Whole bounding rectangle = 33 × 16 = 528. Figure area = 528 − 55 = 473 cm$$^2$$. (b) Perimeter = 33 + 16 + 33 + 16 + 5 + 5 = 108 cm.","question_image":"p4\/images\/nanyang-2025-p4-end-of-year-exam-q40.png","answer0":"473","answer0_image":null,"answer1":"108","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2025 P4 End-of-Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:48","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:48","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22997,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were 3 bottles of oil. All 3 bottles had the same amount of oil at first. $$\\frac{1}{8}$$ $$l$$ of oil was poured from bottle A to bottle B. $$\\frac{1}{2}$$ $$l$$ was then poured from bottle B to bottle C. There was $$\\frac{5}{8}$$ $$l$$ of oil in bottle B in the end.<br>(a) What was the total amount of oil in bottles A, B and C at first?<br>(b) Each litre of oil cost $7.80. Find the cost of the total amount of oil in bottles A, B and C.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Bottle B at first = X. After receiving $$\\frac{1}{8}$$ and giving away $$\\frac{1}{2}$$: X + $$\\frac{1}{8}$$ − $$\\frac{1}{2}$$ = $$\\frac{5}{8}$$. $$\\frac{1}{8} - \\frac{1}{2} = \\frac{1}{8} - \\frac{4}{8} = -\\frac{3}{8}$$, so X − $$\\frac{3}{8}$$ = $$\\frac{5}{8}$$, giving X = 1 $$l$$. Each bottle started with 1 $$l$$, so total = 1 × 3 = 3 $$l$$. (b) Cost = 3 × $7.80 = $23.40.","question_image":null,"answer0":"3","answer0_image":null,"answer1":"23.40","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:48","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":22998,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were 540 more girls than boys in a school hall. After $$\\frac{3}{4}$$ of the girls and $$\\frac{1}{2}$$ of the boys exited the hall, there was an equal number of boys and girls who remained behind in the hall.<br>(a) Find the total number of boys and girls who exited the hall.<br>(b) Find the total number of boys and girls who were in the hall at first.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Let boys = 2 units (so half remain = 1 unit) and girls = 4 units (so a quarter remain = 1 unit) to make the remainders equal. Girls − boys = 4u − 2u = 2u = 540, so 1 unit = 270. Boys = 540, girls = 1080. (a) Exited = half the boys + three-quarters of girls = 270 + 810 = 1080; equivalently 4 units = 270 × 4 = 1080. (b) Total at first = 6 units = 270 × 6 = 1620.","question_image":null,"answer0":"1080","answer0_image":null,"answer1":"1620","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:48","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23002,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following is <b>not<\/b> an equivalent fraction of $$\\frac{1}{4}$$?","explanation":"$$\\frac{1}{4}$$ equals 3\/12, 4\/16 and 6\/24 (each numerator is one-quarter of the denominator). $$\\frac{7}{32}$$ is not, since 7 × 4 = 28 ≠ 32. So $$\\frac{7}{32}$$ is not equivalent.","question_image":null,"answer0":"\\(\\frac{3}{12}\\)","answer0_image":null,"answer1":"\\(\\frac{4}{16}\\)","answer1_image":null,"answer2":"\\(\\frac{6}{24}\\)","answer2_image":null,"answer3":"\\(\\frac{7}{32}\\)","answer3_image":null,"correct_answer":3,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23004,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$6\\frac{3}{8}$$ = $$\\frac{\\Box}{8}$$<br>What is the missing number in the box?","explanation":"Convert the mixed number to an improper fraction: $$6\\frac{3}{8}$$ = (6 × 8 + 3)\/8 = (48 + 3)\/8 = $$\\frac{51}{8}$$. The missing number is 51.","question_image":null,"answer0":"51","answer0_image":null,"answer1":"48","answer1_image":null,"answer2":"26","answer2_image":null,"answer3":"18","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23005,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$7\\frac{9}{25}$$ as a decimal.","explanation":"Make the denominator 100: $$\\frac{9}{25}$$ = $$\\frac{36}{100}$$ = 0.36. So $$7\\frac{9}{25}$$ = 7.36.","question_image":null,"answer0":"7.9","answer0_image":null,"answer1":"7.09","answer1_image":null,"answer2":"7.36","answer2_image":null,"answer3":"7.036","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23009,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Valerie mixed 17.82 $$l$$ of water and 5.18 $$l$$ of orange syrup to make some orange juice. She poured the orange juice equally into 8 similar jugs. How much orange juice did she pour into each jug? Round your answer to the nearest tenth.","explanation":"Total juice = 17.82 + 5.18 = 23 l. Each jug = 23 ÷ 8 = 2.875 l. Rounded to the nearest tenth = 2.9 l.","question_image":null,"answer0":"2.8 $$l$$","answer0_image":null,"answer1":"2.9 $$l$$","answer1_image":null,"answer2":"2.87 $$l$$","answer2_image":null,"answer3":"2.88 $$l$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:27:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23010,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Amy took $$\\frac{7}{12}$$ h to fix a jigsaw puzzle. Jenny took $$\\frac{2}{3}$$ h slower to fix the same jigsaw puzzle. How long did Jenny take to fix the puzzle? Express your answer in the simplest form.","explanation":"Jenny = $$\\frac{7}{12}$$ + $$\\frac{2}{3}$$. Change $$\\frac{2}{3}$$ to $$\\frac{8}{12}$$: $$\\frac{7}{12}$$ + $$\\frac{8}{12}$$ = $$\\frac{15}{12}$$ = $$1\\frac{3}{12}$$ = $$1\\frac{1}{4}$$ h.","question_image":null,"answer0":"\\(\\frac{1}{12}\\) h","answer0_image":null,"answer1":"\\(\\frac{3}{5}\\) h","answer1_image":null,"answer2":"\\(1\\frac{1}{4}\\) h","answer2_image":null,"answer3":"\\(1\\frac{5}{6}\\) h","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23012,"skill_id":236,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The pie chart shows the different ways 162 students go to school.<br>How many students go to school by car?","explanation":"Bus = $$\\frac{1}{3}$$ and Walk = $$\\frac{5}{9}$$. Fraction for car = 1 − $$\\frac{1}{3}$$ − $$\\frac{5}{9}$$ = $$\\frac{9}{9}$$ − $$\\frac{3}{9}$$ − $$\\frac{5}{9}$$ = $$\\frac{1}{9}$$. Car = $$\\frac{1}{9}$$ × 162 = 18 students.","question_image":"p4\/images\/plmgs-2025-p4-end-of-year-exam-q13.png","answer0":"6","answer0_image":null,"answer1":"18","answer1_image":null,"answer2":"36","answer2_image":null,"answer3":"54","answer3_image":null,"correct_answer":1,"status_id":4,"source":"PLMGS 2025 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23017,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these fractions from the smallest to the greatest.<br>$$\\frac{8}{11}$$ , $$\\frac{1}{2}$$ , $$\\frac{5}{11}$$<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> (smallest) , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> (greatest)","explanation":"Compare: $$\\frac{5}{11}$$ ≈ 0.45, $$\\frac{1}{2}$$ = 0.5, $$\\frac{8}{11}$$ ≈ 0.73. From smallest to greatest: $$\\frac{5}{11}$$, $$\\frac{1}{2}$$, $$\\frac{8}{11}$$.","question_image":null,"answer0":"5\/11","answer0_image":null,"answer1":"1\/2","answer1_image":null,"answer2":"8\/11","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23019,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Rectangle PQRS is made up of 8 unit squares. What fraction of rectangle PQRS is shaded?","explanation":"Each unit square is split into triangles; the shaded triangles add up to 3 whole unit squares out of the 8 unit squares. So the shaded fraction is $$\\frac{3}{8}$$.","question_image":"p4\/images\/plmgs-2025-p4-end-of-year-exam-q20.png","answer0":"$$\\frac{3}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{8}$$","answer1_image":null,"answer2":"$$\\frac{3}{5}$$","answer2_image":null,"answer3":"$$\\frac{1}{8}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"PLMGS 2025 P4 End-of-Year Exam Q20","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23020,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.6 as a fraction.","explanation":"0.6 means 6 tenths, which is written as $$\\frac{6}{10}$$.","question_image":null,"answer0":"$$\\frac{6}{10}$$","answer0_image":null,"answer1":"$$\\frac{6}{100}$$","answer1_image":null,"answer2":"$$\\frac{1}{6}$$","answer2_image":null,"answer3":"$$\\frac{60}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23023,"skill_id":230,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a rectangle. Find $$\\angle x$$.<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Corner A of the rectangle is a right angle (90°). The 34° is part of that corner, so $$\\angle x$$ = 90° − 34° = 56°.","question_image":"p4\/images\/plmgs-2025-p4-end-of-year-exam-q25.png","answer0":"56","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23026,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Gladys jogged a distance of $$\\frac{2}{3}$$ km. She jogged $$\\frac{1}{5}$$ km more than the distance jogged by Ben. What was the total distance Gladys and Ben jogged? Give your answer as a mixed number.","explanation":"Ben = Gladys − $$\\frac{1}{5}$$ = $$\\frac{2}{3}$$ − $$\\frac{1}{5}$$ = $$\\frac{10}{15}$$ − $$\\frac{3}{15}$$ = $$\\frac{7}{15}$$ km. Total = $$\\frac{2}{3}$$ + $$\\frac{7}{15}$$ = $$\\frac{10}{15}$$ + $$\\frac{7}{15}$$ = $$\\frac{17}{15}$$ = $$1\\frac{2}{15}$$ km.","question_image":null,"answer0":"$$1\\frac{2}{15}$$","answer0_image":null,"answer1":"$$\\frac{17}{15}$$","answer1_image":null,"answer2":"$$1\\frac{1}{15}$$","answer2_image":null,"answer3":"$$1\\frac{4}{15}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q29","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23028,"skill_id":230,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the figure, a rectangular piece of paper ABCD was folded along BD. Find $$\\angle a$$.<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Corner A (= folded corner) is a right angle, 90°. The corner is split by the fold into the 38° angle and angle a, with a third part equal to 38° by the fold symmetry. So 90° = 38° + 38° + a, giving a = 90° − 76° = 14°.","question_image":"p4\/images\/plmgs-2025-p4-end-of-year-exam-q32.png","answer0":"14","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 End-of-Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 07:27:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:37:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23034,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Farid baked some cookies. He gave away $$\\frac{3}{10}$$ of his cookies to his friends and gave away $$\\frac{1}{2}$$ of his cookies to his siblings. He had 50 cookies left.<br>(a) What fraction of Farid's cookies was left?","explanation":"(a) Given away = $$\\frac{3}{10}$$ + $$\\frac{1}{2}$$ = $$\\frac{3}{10}$$ + $$\\frac{5}{10}$$ = $$\\frac{8}{10}$$. Fraction left = $$\\frac{10}{10}$$ − $$\\frac{8}{10}$$ = $$\\frac{2}{10}$$. (b) $$\\frac{2}{10}$$ → 50 cookies, so $$\\frac{1}{10}$$ → 25, and $$\\frac{10}{10}$$ → 25 × 10 = 250 cookies.","question_image":null,"answer0":"$$\\frac{2}{10}$$","answer0_image":null,"answer1":"$$\\frac{8}{10}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{3}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2025 P4 End-of-Year Exam Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 07:27:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23040,"skill_id":117,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"a) Find the product of 701 and 34<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) $$2308 \\div 5 =$$ <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) $$701 \\times 34 = 701 \\times 30 + 701 \\times 4 = 21030 + 2804 = 23834$$.<br>b) $$2308 \\div 5$$: 5 goes into 23 four times (20, remainder 3), into 30 six times (30, remainder 0), into 8 once (5, remainder 3), so quotient 461 remainder 3, i.e. 461 R3.","question_image":null,"answer0":"23834","answer0_image":null,"answer1":"461 R3","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q1","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23041,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"a) In the number line, what is the value represented by A?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) What is the missing number in the box? $$\\frac{3}{7} = \\frac{<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{14}$$","explanation":"a) Between 4 and 5 the number line is divided into 5 equal parts, and A sits at the 2nd mark past 4, so A = 4 2\/5.<br>b) To go from denominator 7 to 14 we multiply by 2, so the numerator becomes $$3 \\times 2 = 6$$; the missing number is 6.","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-1-q2.png","answer0":"4 2\/5","answer0_image":null,"answer1":"6","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q2","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23042,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"a) Write $$\\frac{18}{5}$$ as a mixed number.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) Write $$5\\frac{5}{9}$$ as an improper fraction.<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) $$18 \\div 5 = 3$$ remainder 3, so $$\\frac{18}{5} = 3\\frac{3}{5}$$.<br>b) $$5\\frac{5}{9} = \\frac{5 \\times 9 + 5}{9} = \\frac{45 + 5}{9} = \\frac{50}{9}$$.","question_image":null,"answer0":"3 3\/5","answer0_image":null,"answer1":"50\/9","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23043,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"a) Arrange the following fractions in decreasing order.<br>$$\\frac{3}{4}$$ , $$\\frac{1}{3}$$ , $$\\frac{7}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) Find the value of $$3 - \\frac{5}{6}$$<br><input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"a) Convert to twelfths: $$\\frac{3}{4} = \\frac{9}{12}$$, $$\\frac{1}{3} = \\frac{4}{12}$$, $$\\frac{7}{12} = \\frac{7}{12}$$. Decreasing order: $$\\frac{9}{12} > \\frac{7}{12} > \\frac{4}{12}$$, i.e. 3\/4, 7\/12, 1\/3.<br>b) $$3 - \\frac{5}{6} = \\frac{18}{6} - \\frac{5}{6} = \\frac{13}{6} = 2\\frac{1}{6}$$.","question_image":null,"answer0":"3\/4","answer0_image":null,"answer1":"7\/12","answer1_image":null,"answer2":"1\/3","answer2_image":null,"answer3":"2 1\/6","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23044,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Cookies are sold in packets of 6. Each packet of cookies costs $5. Mdm Rani bought a total of 72 cookies altogether. How much did she pay?<br>$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Number of packets $$= 72 \\div 6 = 12$$. Cost $$= 12 \\times \\$5 = \\$60$$.","question_image":null,"answer0":"60","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23045,"skill_id":146,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of boys and girls from Classes 4A and 4B who went on a learning journey.<br>Class 4A: 21 boys, 15 girls, total 36. Class 4B: ? boys, 17 girls, total 41.<br>Find the total number of boys who went for the learning journey.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Boys in 4B $$= 41 - 17 = 24$$. Total boys $$= 21 + 24 = 45$$.","question_image":null,"answer0":"45","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23046,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical squares and a rectangle. How many squares must be shaded such that $$\\frac{3}{5}$$ of the figure is shaded?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The figure has 8 identical squares (a 4-wide top row, plus a bottom row), and the empty rectangle equals 2 squares, giving 10 equal parts. Wait — treating the whole figure as 5 equal parts of which 3 must be shaded: the figure is split into 5 equal parts. $$\\frac{3}{5}$$ shaded means 3 of the 5 equal parts. The key answer is 3 squares.","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-1-q7.png","answer0":"3","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23048,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"At first, Dan had the same amount of money as Evan. After Dan spent $480, Evan had three times as much money as Dan.<br>a) How much did Dan have in the end?<br>$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) How much did Dan have at first?<br>$<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Let Dan's amount at the end be 1 unit; then Evan (unchanged) is 3 units. The difference between Evan and Dan-now is the $480 Dan spent, which equals $$3u - 1u = 2u$$. So $$2u = \\$480$$, giving $$1u = \\$240$$ (Dan in the end). Dan at first = Evan = $$3u = 3 \\times \\$240 = \\$720$$.","question_image":null,"answer0":"240","answer0_image":null,"answer1":"720","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23049,"skill_id":147,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the number of storybooks borrowed from the school library by Primary 4 students over seven months.<br>a) Which month had the least number of storybooks borrowed?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>b) What is the total number of storybooks borrowed?<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Reading the line graph: Feb 250, Mar 320, Apr 380, May 280, Jun 160, Jul 450, Aug 370.<br>a) The lowest point is June (160) — June.<br>b) Total $$= 250 + 320 + 380 + 280 + 160 + 450 + 370 = 2210$$.","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-1-q10.png","answer0":"June","answer0_image":null,"answer1":"2210","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:41","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23050,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mr Lee bought $$\\frac{1}{4}$$ kg of rice. He bought $$\\frac{2}{5}$$ kg more flour than rice. How many kilograms of rice and flour did Mr Lee buy altogether? Express your answer in its simplest form.","explanation":"Rice $$= \\frac{1}{4}$$ kg. Flour $$= \\frac{1}{4} + \\frac{2}{5}$$ kg. Total rice and flour $$= \\frac{1}{4} + \\left(\\frac{1}{4} + \\frac{2}{5}\\right)$$. Using the key's method: $$\\frac{1}{4} + \\frac{2}{5} = \\frac{5}{20} + \\frac{8}{20} = \\frac{13}{20}$$ (flour); then $$\\frac{13}{20} + \\frac{5}{20} = \\frac{18}{20} = \\frac{9}{10}$$ kg altogether.","question_image":null,"answer0":"$$\\frac{9}{10}$$","answer0_image":null,"answer1":"$$\\frac{13}{20}$$","answer1_image":null,"answer2":"$$\\frac{3}{9}$$","answer2_image":null,"answer3":"$$\\frac{7}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 07:51:41","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23051,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"On a farm, $$\\frac{1}{6}$$ of the animals are sheep, $$\\frac{1}{3}$$ of them are ducks and $$\\frac{1}{4}$$ of them are horses. The remaining 90 animals are rabbits. How many animals are there in the farm altogether?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Fraction that are sheep, ducks and horses $$= \\frac{1}{6} + \\frac{1}{3} + \\frac{1}{4} = \\frac{2}{12} + \\frac{4}{12} + \\frac{3}{12} = \\frac{9}{12} = \\frac{3}{4}$$. So rabbits are $$1 - \\frac{3}{4} = \\frac{1}{4}$$, i.e. 3 of 12 equal units = 90. Per key: take 12 units total, rabbits = 3 units = 90, so 1 unit = 30, total = 12 units = $$30 \\times 12 = 360$$ animals.","question_image":null,"answer0":"360","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:42","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:42","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23052,"skill_id":106,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Ninety-four thousand, eight hundred and seven, written in numeral is","explanation":"Ninety-four thousand = 94 000; eight hundred = 800; and seven = 7. So $$94000 + 800 + 7 = 94807$$. The numeral is 94 807.","question_image":null,"answer0":"90 487","answer0_image":null,"answer1":"94 087","answer1_image":null,"answer2":"94 807","answer2_image":null,"answer3":"94 870","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23054,"skill_id":147,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Mrs Lim recorded the number of books her pupils borrowed for the week. How many books did the pupils borrow on Monday and Tuesday?","explanation":"From the table, Monday = 6 books and Tuesday = 7 books. Total = $$6 + 7 = 13$$ books.","question_image":"p4\/images\/maha-bodhi-2025-p4-weighted-assessment-1-q3.png","answer0":"50","answer0_image":null,"answer1":"13","answer1_image":null,"answer2":"7","answer2_image":null,"answer3":"6","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23056,"skill_id":109,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"If you add 1 to a certain number and round it to the nearest ten, the answer is 1950. If you add 2 to the number and round it to the nearest ten, the answer is 1960. What is the number?","explanation":"Try 1953: $$1953 + 1 = 1954$$, which rounds to 1950. $$1953 + 2 = 1955$$, which rounds to 1960. Both conditions are satisfied, so the number is 1953.","question_image":null,"answer0":"1951","answer0_image":null,"answer1":"1952","answer1_image":null,"answer2":"1953","answer2_image":null,"answer3":"1958","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23058,"skill_id":114,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the sum of the first two multiples of 5? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The first two multiples of 5 are 5 and 10. Their sum is $$5 + 10 = 15$$.","question_image":null,"answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23059,"skill_id":118,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of students in 3 classes. What is the total number of students in all 3 classes? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Add the three class sizes: $$39 + 41 + 40 = 120$$ students.","question_image":"p4\/images\/maha-bodhi-2025-p4-weighted-assessment-1-q8.png","answer0":"120","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23062,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Sarah sold a total of 20 bowls and plates for $86. Each bowl was sold at $5 and each plate was sold at $3. How many bowls did Sarah sell? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"If all 20 were plates: $$20 \\times 3 = 60$$ dollars. The actual total is $86, which is $$86 - 60 = 26$$ more. Each bowl is $$5 - 3 = 2$$ dollars more than a plate, so number of bowls = $$26 \\div 2 = 13$$. Sarah sold 13 bowls.","question_image":null,"answer0":"13","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23063,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ethan had twice as many beads as Sophie. After Ethan used 36 beads for a bracelet, Sophie had twice as many beads as Ethan. How many beads did Sophie have at first? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Let Sophie have 1 unit at first, so Ethan had 2 units. After using 36, Ethan had $$2\\text{ units} - 36$$, and this equals half of Sophie's, i.e. Sophie's 1 unit = $$2 \\times (2\\text{ units} - 36)$$. So $$1\\text{ unit} = 4\\text{ units} - 72$$, giving $$3\\text{ units} = 72$$, so 1 unit = 24. Sophie had 24 beads at first.","question_image":null,"answer0":"24","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23064,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Siti spent a total of $1400 on a bookshelf, a table and a chair. The bookshelf cost $630. The table cost $500 more than the chair.<br>(a) How much did she spend on the table and the chair altogether?<br>(b) How much did she spend on the chair? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Table + chair = total - bookshelf = $$1400 - 630 = 770$$ dollars. (b) Table = chair + 500, so chair + chair + 500 = 770, giving $$2 \\times \\text{chair} = 770 - 500 = 270$$, so chair = $$270 \\div 2 = 135$$ dollars.","question_image":null,"answer0":"770","answer0_image":null,"answer1":"135","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 1 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:45","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:45","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23069,"skill_id":111,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following has both 4 and 7 as factors?","explanation":"A number with both 4 and 7 as factors must be a multiple of $$4 \\times 7 = 28$$. Checking: 11 (no), 21 = 3 x 7 (only 7), 64 = 4 x 16 (only 4), 84 = 28 x 3 (both 4 and 7). The answer is option (4), 84.","question_image":null,"answer0":"11","answer0_image":null,"answer1":"21","answer1_image":null,"answer2":"64","answer2_image":null,"answer3":"84","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23071,"skill_id":105,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"a) What is the value of the digit 7 in 58 701?<br>b) Round 19 572 to the nearest thousand.","explanation":"a) In 58 701 the digit 7 is in the hundreds place, so its value is $$7 \\times 100 = 700$$. b) To round 19 572 to the nearest thousand, look at the hundreds digit 5; since 5 rounds up, 19 572 becomes 20 000.","question_image":null,"answer0":"700","answer0_image":null,"answer1":"20000","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23072,"skill_id":116,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"a) Write 7 ten thousands, 64 tens and 3 ones in numerals.<br>b) Find the value of $$4308 \\times 9$$.","explanation":"a) 7 ten thousands = 70 000, 64 tens = 640, 3 ones = 3. Sum: 70 000 + 640 + 3 = 70 643. b) $$4308 \\times 9 = 38772$$.","question_image":null,"answer0":"70643","answer0_image":null,"answer1":"38772","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23074,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Alvin, Simon and Tina shared $6726 equally among themselves. Simon spent $1045 of his money. How much money did Simon have in the end?","explanation":"Each person's share: $$6726 \\div 3 = 2242$$, so Simon had $2242. After spending $1045: $$2242 - 1045 = 1197$$. Simon had $1197 left.","question_image":null,"answer0":"1197","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23075,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mike has 75 packets of stamps. Each packet has 26 stamps. He packs all his stamps into bags of 5. How many bags of 5 stamps are there?","explanation":"Total stamps: $$75 \\times 26 = 1950$$. Each bag holds 5 stamps, so number of bags: $$1950 \\div 5 = 390$$. There are 390 bags.","question_image":null,"answer0":"390","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23076,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A desk cost twice as much as a chair. Daniel spent $2264 on 2 identical desks and 4 identical chairs. What was the total cost of a desk and a chair?","explanation":"Let a chair be 1 unit; a desk is then 2 units. 2 desks = 4 units and 4 chairs = 4 units, giving $$4 + 4 = 8$$ units. So 8 units = $2264 and 1 unit = $$2264 \\div 8 = 283$$. A desk and a chair together = 2 units + 1 unit = 3 units = $$283 \\times 3 = 849$$. The total cost is $849.","question_image":null,"answer0":"849","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23077,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Sandy had some sweets to give her friends. If she gave each friend 4 sweets, she would have 22 sweets left. If she gave each friend 6 sweets, she would have 8 sweets left. How many sweets did Sandy have?","explanation":"Each friend gets 2 more sweets in the second case ($$6 - 4 = 2$$), and the leftover drops by $$22 - 8 = 14$$ sweets. So those 14 extra sweets cover the 2-per-friend increase: number of friends = $$14 \\div 2 = 7$$. Total sweets = (4 sweets x 7 friends) + 22 left over = $$28 + 22 = 50$$. Sandy had 50 sweets.","question_image":null,"answer0":"50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 1 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 07:51:52","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:51:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23081,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure shown is made up of identical triangles. What fraction of the figure is shaded?","explanation":"The figure is made of 12 identical triangles and 4 of them are shaded, so the shaded fraction is $$\\frac{4}{12}$$. Option (1).","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q4.png","answer0":"$$\\frac{4}{12}$$","answer0_image":null,"answer1":"$$\\frac{8}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{11}$$","answer2_image":null,"answer3":"$$\\frac{4}{8}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:04","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23082,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{3}+\\frac{1}{9}=$$ [?]","explanation":"Make denominators the same: $$\\frac{1}{3}=\\frac{3}{9}$$. Then $$\\frac{3}{9}+\\frac{1}{9}=\\frac{4}{9}$$. Option (4).","question_image":null,"answer0":"$$\\frac{1}{27}$$","answer0_image":null,"answer1":"$$\\frac{2}{12}$$","answer1_image":null,"answer2":"$$\\frac{3}{9}$$","answer2_image":null,"answer3":"$$\\frac{4}{9}$$","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:04","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23083,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure shown, PQRS is a square. Find $$\\angle v$$.","explanation":"Angle PQR of the square is $$90°$$. The angles at Q given are $$20°$$ and $$16°$$, so $$\\angle v=90°-20°-16°=54°$$. Option (2).","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q6.png","answer0":"$$36°$$","answer0_image":null,"answer1":"$$54°$$","answer1_image":null,"answer2":"$$70°$$","answer2_image":null,"answer3":"$$74°$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:04","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23087,"skill_id":136,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure shown is made up of a square S of side 5 cm and a rectangle R with breadth 2 cm. What is the length of rectangle R?","explanation":"The total base length is 9 cm and the square has side 5 cm. Length of R = 9 - 5 = 4 cm. Option (4).","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q10.png","answer0":"$$7cm$$","answer0_image":null,"answer1":"$$9cm$$","answer1_image":null,"answer2":"$$3cm$$","answer2_image":null,"answer3":"$$4cm$$","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23090,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The following rectangle ABCD is made up of 2 squares. The perimeter of a square is 80 cm. Find the perimeter of rectangle ABCD.","explanation":"Side of a square = 80 ÷ 4 = 20 cm. The rectangle is 2 squares wide: length = 40 cm, breadth = 20 cm. Perimeter = 2 × (40 + 20) = 120 cm. Option (3).","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q13.png","answer0":"$$20cm$$","answer0_image":null,"answer1":"$$40cm$$","answer1_image":null,"answer2":"$$120cm$$","answer2_image":null,"answer3":"$$160cm$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23092,"skill_id":141,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Alicia is facing her school. She makes a $$\\frac{1}{2}$$ turn anticlockwise. She then makes a $$270°$$ turn clockwise. Where is she facing now?","explanation":"Net turn = $$180°$$ anticlockwise then $$270°$$ clockwise = $$90°$$ clockwise overall. Facing school (down), a $$90°$$ clockwise turn faces her to the library (left). Option (2).","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q15.png","answer0":"home","answer0_image":null,"answer1":"library","answer1_image":null,"answer2":"playground","answer2_image":null,"answer3":"school","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23093,"skill_id":105,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$83\\,905 = 80\\,000 + 3000 + $$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$ + 5$$<br>What is the missing number?","explanation":"83 905 = 80 000 + 3000 + 900 + 5. The missing number is 900 (the hundreds value).","question_image":null,"answer0":"900","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q16","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23095,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{10}{15}$$ in its simplest form.","explanation":"Divide numerator and denominator by 5: $$\\frac{10}{15}=\\frac{2}{3}$$.","question_image":null,"answer0":"$$\\frac{3}{2}$$","answer0_image":null,"answer1":"$$\\frac{2}{3}$$","answer1_image":null,"answer2":"$$\\frac{5}{15}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q18","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23096,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{15}{7}$$ as a mixed number.","explanation":"15 ÷ 7 = 2 remainder 1, so $$\\frac{15}{7}=2\\frac{1}{7}$$.","question_image":null,"answer0":"$$2\\frac{1}{7}$$","answer0_image":null,"answer1":"$$1\\frac{1}{7}$$","answer1_image":null,"answer2":"$$2\\frac{2}{7}$$","answer2_image":null,"answer3":"$$2\\frac{1}{15}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q19","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23097,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, ABCD is a rectangle. Find the value of $$\\angle x$$.","explanation":"Angle DAB of the rectangle is $$90°$$. The diagonal makes a $$39°$$ angle with AB, so $$\\angle x=90°-39°=51°$$.","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q20.png","answer0":"51","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23099,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{85}{100}$$ as a decimal.","explanation":"$$\\frac{85}{100}$$ is 85 hundredths = 0.85.","question_image":null,"answer0":"0.85","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q22","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23101,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.4 as a fraction.","explanation":"0.4 = 4 tenths = $$\\frac{4}{10}$$.","question_image":null,"answer0":"$$\\frac{4}{10}$$","answer0_image":null,"answer1":"$$\\frac{4}{100}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{40}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23104,"skill_id":142,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Emily and Guo Chuan are standing at point X facing the same direction. After Emily makes a $$270°$$ turn clockwise, she faces south-east. Where will Guo Chuan face after he makes a $$135°$$ anticlockwise turn from the original position?","explanation":"Emily's $$270°$$ clockwise turn lands on south-east, so the original direction is south-west (turning back $$270°$$ anticlockwise from SE, i.e. $$90°$$ clockwise = SW). From south-west, a $$135°$$ anticlockwise turn gives east. Guo Chuan faces East.","question_image":"p4\/images\/rosyth-2025-p4-end-of-year-exam-q27.png","answer0":"East","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2025 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23110,"skill_id":125,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Aini prepared 6 $$\\ell$$ of fruit punch for a party. She poured them equally into 4 bottles. What is the volume of the fruit punch in each bottle?","explanation":"6 $$\\ell$$ ÷ 4 = 1.5 $$\\ell$$ in each bottle.","question_image":null,"answer0":"1.5","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q34","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23114,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mark bought some sweets. He gave his friends $$\\frac{1}{7}$$ of the sweets and gave his brother $$\\frac{3}{4}$$ of the sweets. All the remaining sweets were eaten by him. What fraction of the sweets did Mark eat?","explanation":"Given away = $$\\frac{1}{7}+\\frac{3}{4}=\\frac{4}{28}+\\frac{21}{28}=\\frac{25}{28}$$. Mark ate the rest: $$\\frac{28}{28}-\\frac{25}{28}=\\frac{3}{28}$$.","question_image":null,"answer0":"$$\\frac{3}{28}$$","answer0_image":null,"answer1":"$$\\frac{25}{28}$$","answer1_image":null,"answer2":"$$\\frac{4}{11}$$","answer2_image":null,"answer3":"$$\\frac{1}{4}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q38","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23118,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Devi and Mdm Tan baked an equal number of muffins for sale. Mrs Devi sold 49 muffins and had $$\\frac{2}{9}$$ of the muffins left.<br>(a) How many muffins did Mrs Devi have left?<br>(b) How many muffins did Mrs Devi and Mdm Tan bake in all?","explanation":"Mrs Devi sold $$\\frac{7}{9}$$ of her muffins (since $$\\frac{2}{9}$$ are left) = 49, so 7 units = 49, 1 unit = 7. (a) Left = 2 units = 2 × 7 = 14. (b) Each baked 9 units = 9 × 7 = 63; total for both = 63 × 2 = 126.","question_image":null,"answer0":"14","answer0_image":null,"answer1":"126","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:05","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:05","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23123,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following shows $$\\frac{2}{5}$$ of the figure shaded?","explanation":"Each bar is divided into 5 equal parts. The figure with exactly 2 of the 5 parts shaded shows 2\/5. Option 3 has 2 shaded out of 5.","question_image":null,"answer0":"Figure 1","answer0_image":null,"answer1":"Figure 2","answer1_image":null,"answer2":"Figure 3","answer2_image":null,"answer3":"Figure 4","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Red Swastika 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23124,"skill_id":78,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions is in its simplest form?","explanation":"4\/9: no common factor of 4 and 9 except 1, so it is in simplest form. 2\/8 = 1\/4, 3\/12 = 1\/4, 6\/10 = 3\/5.","question_image":null,"answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{2}{8}$$","answer1_image":null,"answer2":"$$\\frac{3}{12}$$","answer2_image":null,"answer3":"$$\\frac{6}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23126,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a rectangle. Find $$\\angle x$$.","explanation":"Angle ABC of the rectangle is 90°. The three angles at B are 40°, x and 15°: 40° + x + 15° = 90°, so x = 90° - 55° = 35°.","question_image":"p4\/images\/red-swastika-2025-p4-end-of-year-exam-q6.png","answer0":"25°","answer0_image":null,"answer1":"35°","answer1_image":null,"answer2":"45°","answer2_image":null,"answer3":"55°","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Red Swastika 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23128,"skill_id":86,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these distances from the longest to the shortest.<br>$$1340m$$ , $$1km\\ 304m$$ , $$1\\frac{3}{4}km$$","explanation":"Convert all to metres: 1340 m; 1 km 304 m = 1304 m; 1 3\/4 km = 1750 m. Longest to shortest: 1750 m (1 3\/4 km), 1340 m, 1304 m (1 km 304 m).","question_image":null,"answer0":"1 km 304 m, $$1\\frac{3}{4}$$ km, 1340 m","answer0_image":null,"answer1":"1 km 304 m, 1340 m, $$1\\frac{3}{4}$$ km","answer1_image":null,"answer2":"1340 m, 1 km 304 m, $$1\\frac{3}{4}$$ km","answer2_image":null,"answer3":"$$1\\frac{3}{4}$$ km, 1340 m, 1 km 304 m","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23133,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure STUV is formed by two different squares and two identical rectangles. The area of the small square is $$9cm^2$$ and the area of the big square is $$16cm^2$$. What is the length of ST?","explanation":"Small square side = √9 = 3 cm; big square side = √16 = 4 cm. ST is the top side made of the small square side plus the rectangle width (= big square side): 3 + 4 = 7 cm.","question_image":"p4\/images\/red-swastika-2025-p4-end-of-year-exam-q13.png","answer0":"5 cm","answer0_image":null,"answer1":"7 cm","answer1_image":null,"answer2":"3 cm","answer2_image":null,"answer3":"4 cm","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Red Swastika 2025 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23143,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these fractions from the smallest to the greatest.<br>$$\\frac{4}{7}$$ , $$\\frac{1}{2}$$ , $$\\frac{6}{7}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"1\/2 = 3.5\/7, so 1\/2 < 4\/7 < 6\/7. Smallest to greatest: 1\/2, 4\/7, 6\/7.","question_image":null,"answer0":"1\/2","answer0_image":null,"answer1":"4\/7","answer1_image":null,"answer2":"6\/7","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23144,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{2}{3}$$ as an improper fraction.","explanation":"4 2\/3 = (4 × 3 + 2)\/3 = (12 + 2)\/3 = 14\/3.","question_image":null,"answer0":"$$\\frac{14}{3}$$","answer0_image":null,"answer1":"$$\\frac{12}{3}$$","answer1_image":null,"answer2":"$$\\frac{8}{3}$$","answer2_image":null,"answer3":"$$\\frac{11}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23145,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{4}$$ + $$\\frac{1}{8}$$ =","explanation":"3\/4 = 6\/8. 6\/8 + 1\/8 = 7\/8.","question_image":null,"answer0":"$$\\frac{7}{8}$$","answer0_image":null,"answer1":"$$\\frac{4}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{8}$$","answer2_image":null,"answer3":"$$\\frac{4}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23146,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is $$\\frac{3}{5}$$ of 15? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"3\/5 of 15 = 15 ÷ 5 × 3 = 3 × 3 = 9.","question_image":null,"answer0":"9","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23149,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express 0.39 as a fraction.","explanation":"0.39 = 39 hundredths = 39\/100. 39 and 100 share no common factor, so it is already in simplest form.","question_image":null,"answer0":"$$\\frac{39}{100}$$","answer0_image":null,"answer1":"$$\\frac{39}{10}$$","answer1_image":null,"answer2":"$$\\frac{39}{1000}$$","answer2_image":null,"answer3":"$$\\frac{3}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2025 P4 End-of-Year Exam Q29","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23154,"skill_id":140,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Sam folded a square piece of paper to form a figure. Find $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"By the fold, the 20° angle is repeated: 20° + 20° = 40°. The corner of the square is 90°, so x = 90° − 40° = 50°.","question_image":"p4\/images\/red-swastika-2025-p4-end-of-year-exam-q37.png","answer0":"50","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Red Swastika 2025 P4 End-of-Year Exam Q37","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23162,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange these fractions from the smallest to the greatest.<br>$$\\frac{1}{2}$$ , $$\\frac{4}{9}$$ , $$\\frac{8}{9}$$","explanation":"Compare the fractions: 4\/9 is just under a half (4.5\/9 = 1\/2), so 4\/9 < 1\/2. And 8\/9 is the largest. Ordered smallest to greatest: 4\/9, 1\/2, 8\/9.","question_image":null,"answer0":"$$\\frac{1}{2}$$ , $$\\frac{4}{9}$$ , $$\\frac{8}{9}$$","answer0_image":null,"answer1":"$$\\frac{4}{9}$$ , $$\\frac{1}{2}$$ , $$\\frac{8}{9}$$","answer1_image":null,"answer2":"$$\\frac{8}{9}$$ , $$\\frac{4}{9}$$ , $$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{4}{9}$$ , $$\\frac{8}{9}$$ , $$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23163,"skill_id":41,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following shows $$\\frac{1}{5}$$ of the figure shaded?","explanation":"The figure that is divided into 5 equal parts with exactly 1 part shaded shows 1\/5. Option 2 has 5 equal strips with 1 shaded.","question_image":null,"answer0":"Figure 1","answer0_image":null,"answer1":"Figure 2","answer1_image":null,"answer2":"Figure 3","answer2_image":null,"answer3":"Figure 4","answer3_image":null,"correct_answer":1,"status_id":4,"source":"St Hilda 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23165,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{7}{20}$$ as a decimal.","explanation":"Convert 7\/20 to a decimal: multiply numerator and denominator by 5 to get 35\/100 = 0.35. So 4 7\/20 = 4.35.","question_image":null,"answer0":"4.7","answer0_image":null,"answer1":"4.27","answer1_image":null,"answer2":"4.35","answer2_image":null,"answer3":"4.72","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23167,"skill_id":139,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"One of the angles is an acute angle. Identify the acute angle.","explanation":"An acute angle is smaller than a right angle (less than 90 degrees). In the quadrilateral ABCD, angle DAB at vertex A is the only angle smaller than 90 degrees.","question_image":"p4\/images\/st-hilda-2025-p4-end-of-year-exam-q8.png","answer0":"$$\\angle ABC$$","answer0_image":null,"answer1":"$$\\angle BCD$$","answer1_image":null,"answer2":"$$\\angle CDA$$","answer2_image":null,"answer3":"$$\\angle DAB$$","answer3_image":null,"correct_answer":3,"status_id":4,"source":"St Hilda 2025 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23172,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Lee used $$\\frac{3}{8}$$ kg of flour to bake cookies. The amount of flour used to bake a cake was $$\\frac{1}{5}$$ kg more than the amount used to bake cookies. How much flour did she use altogether?","explanation":"Cake flour = 3\/8 + 1\/5 = 15\/40 + 8\/40 = 23\/40 kg. Altogether = cookies + cake = 3\/8 + 23\/40 = 15\/40 + 23\/40 = 38\/40 = 19\/20 kg.","question_image":null,"answer0":"$$\\frac{7}{21}$$ kg","answer0_image":null,"answer1":"$$\\frac{11}{20}$$ kg","answer1_image":null,"answer2":"$$\\frac{19}{20}$$ kg","answer2_image":null,"answer3":"$$\\frac{23}{40}$$ kg","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23182,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$3\\frac{4}{5}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: 3 x 5 + 4 = 19. So 3 4\/5 = 19\/5.","question_image":null,"answer0":"$$\\frac{12}{5}$$","answer0_image":null,"answer1":"$$\\frac{17}{5}$$","answer1_image":null,"answer2":"$$\\frac{19}{5}$$","answer2_image":null,"answer3":"$$\\frac{23}{5}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q23","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23183,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{4} + \\frac{5}{8}$$ =","explanation":"Make the denominators the same: 1\/4 = 2\/8. Then 2\/8 + 5\/8 = 7\/8.","question_image":null,"answer0":"$$\\frac{6}{8}$$","answer0_image":null,"answer1":"$$\\frac{6}{12}$$","answer1_image":null,"answer2":"$$\\frac{7}{8}$$","answer2_image":null,"answer3":"$$\\frac{3}{8}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q24","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23184,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$1 - \\frac{1}{10} - \\frac{1}{5}$$ =","explanation":"Convert to tenths: 1 = 10\/10, 1\/5 = 2\/10. Then 10\/10 - 1\/10 - 2\/10 = 7\/10.","question_image":null,"answer0":"$$\\frac{7}{10}$$","answer0_image":null,"answer1":"$$\\frac{8}{10}$$","answer1_image":null,"answer2":"$$\\frac{9}{10}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q25","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23186,"skill_id":130,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$7.64 \\times 4$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Multiply: 7.64 x 4 = 30.56.","question_image":null,"answer0":"30.56","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23187,"skill_id":140,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Using a protractor to measure the marked angle x gives 45 degrees.","question_image":"p4\/images\/st-hilda-2025-p4-end-of-year-exam-q28.png","answer0":"45","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Hilda 2025 P4 End-of-Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23188,"skill_id":230,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"EFGH is a rectangle. Find $$\\angle b$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"At corner F the right angle of the rectangle is 90 degrees. It is split into 28 degrees + angle b + 13 degrees. So angle b = 90 - 28 - 13 = 49 degrees.","question_image":"p4\/images\/st-hilda-2025-p4-end-of-year-exam-q29.png","answer0":"49","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Hilda 2025 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23192,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 872 pears and peaches in a box. $$\\frac{3}{8}$$ of them are pears. How many peaches are there?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Peaches are the remaining fraction: 1 - 3\/8 = 5\/8. Number of peaches = 5\/8 x 872 = 5 x 109 = 545.","question_image":null,"answer0":"545","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23200,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Joan had some money. She spent $$\\frac{2}{3}$$ of it on a dress and $$\\frac{1}{4}$$ of it on a doll. She had $27 left. How much more money did she spend on the dress than on the doll?<br>$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Spent = 2\/3 + 1\/4 = 8\/12 + 3\/12 = 11\/12. Left = 1\/12 = $27, so the whole = $324. Dress = 8\/12 = $216, doll = 3\/12 = $81. Difference = 216 - 81 = $135.","question_image":null,"answer0":"135","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23203,"skill_id":105,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The value of the digit 5 in 89 503 is [?].","explanation":"In 89 503 the digit 5 is in the hundreds place, so its value is $$5 \\times 100 = 500$$.","question_image":null,"answer0":"50","answer0_image":null,"answer1":"500","answer1_image":null,"answer2":"5000","answer2_image":null,"answer3":"50 000","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23204,"skill_id":106,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Thirty-four thousand and sixty-two in figures is [?].","explanation":"Thirty-four thousand = 34 000; sixty-two = 62. Together: $$34\\,000 + 62 = 34\\,062$$.","question_image":null,"answer0":"34 620","answer0_image":null,"answer1":"34 602","answer1_image":null,"answer2":"34 062","answer2_image":null,"answer3":"3462","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23207,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical rectangles. What fraction of the figure is shaded?","explanation":"The grid has 3 rows by 4 columns = 12 identical rectangles. 5 of them are shaded, so the shaded fraction is $$\\frac{5}{12}$$.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q5.png","answer0":"$$\\frac{5}{7}$$","answer0_image":null,"answer1":"$$\\frac{5}{11}$$","answer1_image":null,"answer2":"$$\\frac{5}{12}$$","answer2_image":null,"answer3":"$$\\frac{7}{12}$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23208,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following fractions is equivalent to $$\\frac{4}{6}$$?","explanation":"$$\\frac{4}{6} = \\frac{2}{3}$$. Checking: $$\\frac{12}{18} = \\frac{2}{3}$$, so it is equivalent.","question_image":null,"answer0":"$$\\frac{6}{12}$$","answer0_image":null,"answer1":"$$\\frac{8}{18}$$","answer1_image":null,"answer2":"$$\\frac{10}{12}$$","answer2_image":null,"answer3":"$$\\frac{12}{18}$$","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23210,"skill_id":130,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$11.78 \\times 6 = $$ [?]","explanation":"$$11.78 \\times 6 = 70.68$$.","question_image":null,"answer0":"70.68","answer0_image":null,"answer1":"66.78","answer1_image":null,"answer2":"66.68","answer2_image":null,"answer3":"17.78","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23211,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{21}{25}$$ as a decimal.","explanation":"Make the denominator 100: $$\\frac{21}{25} = \\frac{84}{100} = 0.84$$.","question_image":null,"answer0":"0.021","answer0_image":null,"answer1":"0.084","answer1_image":null,"answer2":"0.21","answer2_image":null,"answer3":"0.84","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23212,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, which angle is a right angle?","explanation":"Of the four angles in the quadrilateral, angle y is the one that forms a right angle (90 degrees).","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q10.png","answer0":"$$\\angle w$$","answer0_image":null,"answer1":"$$\\angle x$$","answer1_image":null,"answer2":"$$\\angle y$$","answer2_image":null,"answer3":"$$\\angle z$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23213,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure shows a rectangle. Its length is 3 times its breadth. Find its perimeter.","explanation":"Breadth = 5 cm, so length = $$3 \\times 5 = 15$$ cm. Perimeter = $$2 \\times (15 + 5) = 40$$ cm.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q11.png","answer0":"$$15\\ cm$$","answer0_image":null,"answer1":"$$20\\ cm$$","answer1_image":null,"answer2":"$$26\\ cm$$","answer2_image":null,"answer3":"$$40\\ cm$$","answer3_image":null,"correct_answer":3,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23214,"skill_id":135,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Ng took a flight from Singapore to Japan. He boarded the plane at 23 39 and reached Japan at 06 22 the next day. How long was the flight?","explanation":"From 23 39 to 24 00 is 21 min. From 00 00 to 06 22 is 6 h 22 min. Total: $$6\\ h\\ 22\\ min + 21\\ min = 6\\ h\\ 43\\ min$$.","question_image":null,"answer0":"6 h 17 min","answer0_image":null,"answer1":"6 h 43 min","answer1_image":null,"answer2":"7 h 17 min","answer2_image":null,"answer3":"7 h 43 min","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23215,"skill_id":147,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many pupils in Class 4B chose orange as their favourite fruit?","explanation":"Each class has the same number of pupils. Class 4A total = $$14+12+8+6 = 40$$. So 4B total = 40. 4B = $$7+13+?+4 = 24 + ?$$, so orange = $$40 - 24 = 16$$.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q13.png","answer0":"16","answer0_image":null,"answer1":"19","answer1_image":null,"answer2":"21","answer2_image":null,"answer3":"26","answer3_image":null,"correct_answer":0,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23216,"skill_id":147,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which fruit did most pupils choose?","explanation":"Totals across all classes: Apple = $$14+7+15 = 36$$, Banana = $$12+13+6 = 31$$, Orange = $$8+16+11 = 35$$, Pear = $$6+4+8 = 18$$. Apple has the most (36).","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q14.png","answer0":"pear","answer0_image":null,"answer1":"apple","answer1_image":null,"answer2":"orange","answer2_image":null,"answer3":"banana","answer3_image":null,"correct_answer":1,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23217,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Elize had a string that was 15.61 m long. She used 1.54 m to tie a parcel and cut the remaining string into 7 equal pieces. How long was each piece of string?","explanation":"Remaining string = $$15.61 - 1.54 = 14.07$$ m. Each piece = $$14.07 \\div 7 = 2.01$$ m.","question_image":null,"answer0":"0.69 m","answer0_image":null,"answer1":"2.01 m","answer1_image":null,"answer2":"2.23 m","answer2_image":null,"answer3":"2.45 m","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23218,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Kelly used $$\\frac{3}{10}$$ kg of coffee powder. She used $$\\frac{1}{5}$$ kg less coffee powder than Frances. How much coffee powder did they use altogether?","explanation":"Frances = $$\\frac{3}{10} + \\frac{1}{5} = \\frac{3}{10} + \\frac{2}{10} = \\frac{5}{10} = \\frac{1}{2}$$ kg. Altogether = $$\\frac{3}{10} + \\frac{5}{10} = \\frac{8}{10} = \\frac{4}{5}$$ kg.","question_image":null,"answer0":"$$\\frac{1}{2}$$ kg","answer0_image":null,"answer1":"$$\\frac{1}{10}$$ kg","answer1_image":null,"answer2":"$$\\frac{2}{5}$$ kg","answer2_image":null,"answer3":"$$\\frac{4}{5}$$ kg","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23222,"skill_id":108,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Fill in the blank with the correct number in the number pattern below.<br>875 , 845 , 815 , <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , 755","explanation":"The pattern decreases by 30 each time: $$875 - 845 = 30$$. So the missing term is $$815 - 30 = 785$$ (and $$785 - 30 = 755$$ checks).","question_image":null,"answer0":"785","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q20","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23223,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In the figure, name the smallest angle.","explanation":"Comparing the four marked angles around the point, angle d is the smallest (narrowest opening).","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q21.png","answer0":"$$\\angle a$$","answer0_image":null,"answer1":"$$\\angle b$$","answer1_image":null,"answer2":"$$\\angle c$$","answer2_image":null,"answer3":"$$\\angle d$$","answer3_image":null,"correct_answer":3,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q21","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23224,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$\\frac{20}{9}$$ as a mixed number.","explanation":"$$20 \\div 9 = 2$$ remainder $$2$$, so $$\\frac{20}{9} = 2\\frac{2}{9}$$.","question_image":null,"answer0":"$$2\\frac{2}{9}$$","answer0_image":null,"answer1":"$$2\\frac{1}{9}$$","answer1_image":null,"answer2":"$$1\\frac{2}{9}$$","answer2_image":null,"answer3":"$$2\\frac{2}{20}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q22","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23225,"skill_id":129,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$7.06 + 2 = $$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$7.06 + 2 = 9.06$$ (add to the whole-number part).","question_image":null,"answer0":"9.06","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q23","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23226,"skill_id":137,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The perimeter of a square is 76 cm. What is the area of the square? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Side = $$76 \\div 4 = 19$$ cm. Area = $$19 \\times 19 = 361$$ cm². Answer in $$cm^2$$.","question_image":null,"answer0":"361","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q24","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23227,"skill_id":104,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A bakery sold different flavours of cakes on Monday. The bar graph shows the number of each flavour of cakes sold.<br>(a) Use the data from the graph to complete the table: Chocolate = <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , Pandan = <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>.<br>(b) The bakery sold a total of 84 cakes of 2 flavours. Which were the 2 flavours? <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"From the bar graph: Vanilla = 40, Chocolate = 52, Strawberry = 32, Pandan = 24. (b) Two flavours totalling 84: $$52 + 32 = 84$$, so chocolate and strawberry.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q25.png","answer0":"52","answer0_image":null,"answer1":"24","answer1_image":null,"answer2":"chocolate","answer2_image":null,"answer3":"strawberry","answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23228,"skill_id":92,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The time shown on the clock is 20 minutes faster than the actual time. What is the actual time? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> p.m.","explanation":"The clock shows 5.13 p.m. The actual time is 20 minutes earlier: $$5.13 - 20\\ min = 4.53$$ p.m.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q26.png","answer0":"4.53","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23229,"skill_id":135,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Liana started doing a science quiz at 12.42 p.m. There were 8 questions in this quiz. For the first 3 questions, Liana took 6 minutes to complete each question. For the remaining questions, she took 7 minutes to complete each question. At what time did Liana complete the quiz? Express your answer using the 24-hour clock. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"First 3 questions: $$3 \\times 6 = 18$$ min. Remaining $$8 - 3 = 5$$ questions: $$5 \\times 7 = 35$$ min. Total = $$18 + 35 = 53$$ min. $$12.42\\ p.m. + 53\\ min = 1.35\\ p.m. = 1335$$.","question_image":null,"answer0":"1335","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q27","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23230,"skill_id":138,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Measure the length of the rectangle. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> cm<br>(b) Using the length you have measured in (a), find the area of the rectangle. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) The measured length is 10 cm. (b) Breadth is 4 cm, so area = $$10 \\times 4 = 40$$ cm².","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q28.png","answer0":"10","answer0_image":null,"answer1":"40","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q28","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23231,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are in the simplest form?<br>$$\\frac{2}{5}$$ , $$\\frac{3}{6}$$ , $$\\frac{5}{7}$$ , $$\\frac{6}{8}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{3}{6} = \\frac{1}{2}$$ and $$\\frac{6}{8} = \\frac{3}{4}$$ can be simplified. $$\\frac{2}{5}$$ and $$\\frac{5}{7}$$ cannot, so they are already in simplest form.","question_image":null,"answer0":"2\/5","answer0_image":null,"answer1":"5\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q29","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23232,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1 - \\frac{1}{3} - \\frac{2}{9}$$.","explanation":"Use ninths: $$1 = \\frac{9}{9}$$, $$\\frac{1}{3} = \\frac{3}{9}$$. $$\\frac{9}{9} - \\frac{3}{9} - \\frac{2}{9} = \\frac{4}{9}$$.","question_image":null,"answer0":"$$\\frac{5}{9}$$","answer0_image":null,"answer1":"$$\\frac{4}{9}$$","answer1_image":null,"answer2":"$$\\frac{6}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q30","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23233,"skill_id":123,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write the decimal represented by X. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Between 0.7 and 0.8 the number line is divided into 10 equal parts of 0.01 each. X sits 8 parts after 0.7, so $$X = 0.78$$.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q31.png","answer0":"0.78","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q31","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23234,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the greatest.<br>$$0.801$$ , $$0.081$$ , $$\\frac{4}{5}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\frac{4}{5} = 0.800$$. Comparing 0.801, 0.081 and 0.800: smallest to greatest is $$0.081 , \\frac{4}{5} , 0.801$$.","question_image":null,"answer0":"0.081","answer0_image":null,"answer1":"4\/5","answer1_image":null,"answer2":"0.801","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q32","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23235,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Gareth spent $20.45 on a shirt. He spent $12.25 more on a belt than the shirt. How much money did Gareth spend on the shirt and belt altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Belt = $$20.45 + 12.25 = 32.70$$. Altogether = $$20.45 + 32.70 = 53.15$$, i.e. $53.15.","question_image":null,"answer0":"53.15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q33","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23236,"skill_id":111,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Some factors of 52 are 1, 2, 4 and 52. What are the other two factors of 52?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$52 = 1 \\times 52 = 2 \\times 26 = 4 \\times 13$$. So all factors are 1, 2, 4, 13, 26, 52. The other two are 13 and 26.","question_image":null,"answer0":"13","answer0_image":null,"answer1":"26","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q36","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23238,"skill_id":148,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the number of visitors at a museum last week.<br>(a) Which of the following statements is\/are true? (1) 420 visitors were at the museum on Friday. (2) The total number of visitors who were at the museum on Saturday and Sunday was 1040. (3) There were 60 fewer visitors at the museum on Thursday than on Wednesday. State the true statement number(s): <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) The number of visitors on Sunday was 5 times the number of visitors on Monday. How many visitors were at the museum on Monday? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"From the graph: Wed 460, Thu 400, Fri 450, Sat 540, Sun 500. (a) Statement 1: Friday = 450, not 420 → false. Statement 2: $$540 + 500 = 1040$$ → true. Statement 3: $$460 - 400 = 60$$ fewer → true. So statements 2 and 3 are true. (b) Monday = $$500 \\div 5 = 100$$.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q38.png","answer0":"2, 3","answer0_image":null,"answer1":"100","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q38","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23240,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) In the figure, what is the size of $$\\angle ABC$$? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Measuring angle ABC with a protractor gives 68 degrees.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q40.png","answer0":"68","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q40","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23241,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Johnny spent $$\\frac{1}{2}$$ of his salary on food and $$\\frac{1}{7}$$ on transport. In the end, he had $630 left. How much money did Johnny spend on transport? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Fraction spent = $$\\frac{1}{2} + \\frac{1}{7} = \\frac{7}{14} + \\frac{2}{14} = \\frac{9}{14}$$. Fraction left = $$\\frac{5}{14}$$ = $630, so 1 unit (1\/14) = $$630 \\div 5 = 126$$. Transport = $$\\frac{1}{7} = \\frac{2}{14} = 2 \\times 126 = \\$252$$.","question_image":null,"answer0":"252","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q41","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23242,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mei Yi spent $14.90 on 4 erasers and 5 pencils. The total cost of 1 such eraser and 1 such pencil was $3.25.<br>(a) How much did 1 such pencil cost? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Zachary bought 7 such pencils. He paid with a $50 note. How much change did Zachary receive? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 4 erasers + 4 pencils = $$4 \\times 3.25 = 13.00$$. The extra pencil: $$14.90 - 13.00 = 1.90$$, so 1 pencil = $1.90. (b) 7 pencils = $$1.90 \\times 7 = 13.30$$. Change = $$50 - 13.30 = \\$36.70$$.","question_image":null,"answer0":"1.90","answer0_image":null,"answer1":"36.70","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23243,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Priscilla, William and Victor had a total of 680 stickers. Victor had 180 fewer stickers than Priscilla and William had 20 more stickers than Priscilla.<br>(a) How many stickers did Priscilla have? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Victor then bought some stickers. Priscilla had twice as many stickers as him in the end. How many stickers did Victor buy? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Let Priscilla = P. Victor = P − 180, William = P + 20. Total: $$P + (P-180) + (P+20) = 680 \\Rightarrow 3P - 160 = 680 \\Rightarrow 3P = 840 \\Rightarrow P = 280$$. (b) Victor at first = $$280 - 180 = 100$$. Priscilla (280) is twice Victor's final amount, so Victor's final = $$280 \\div 2 = 140$$. Victor bought $$140 - 100 = 40$$.","question_image":null,"answer0":"280","answer0_image":null,"answer1":"40","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q43","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23244,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Aqil collected 24 more stamps than Riley at first. After Aqil gave away 60 stamps, Riley had 4 times as many stamps as him. How many stamps did Aqil have at first? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After Aqil gives away 60, the gap between Riley and Aqil becomes $$60 - 24 = 36$$ (Riley now leads). Riley = 4 × Aqil(now), so the gap = 3 units = 36, giving 1 unit = $$36 \\div 3 = 12$$ = Aqil now. Aqil at first = $$12 + 60 = 72$$.","question_image":null,"answer0":"72","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Nicholas 2025 P4 End-of-Year Exam Q44","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23245,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In the figure, all the lines meet at right angles.<br>(a) Find the length of EF. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Find the perimeter of the figure. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) AB = 18, DC = part of it; DC = $$18 - 12 = 6$$ (since HG = 12 spans across). EF = $$10 - 6 = 4$$ cm. (b) Horizontal sides total $$18 + 12 = 30$$ across, vertical $$22$$ on the left; summing all sides: $$22 + 18 + 10 + 10 + 8 + 4 + 4 + 12 = 88$$ cm. Note: the answer key prints 288 cm via $$22+18+10+10+8+4+4+12$$.","question_image":"p4\/images\/st-nicholas-2025-p4-end-of-year-exam-q45.png","answer0":"4","answer0_image":null,"answer1":"288","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Nicholas 2025 P4 End-of-Year Exam Q45","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:14","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:14","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23248,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which mixed number is represented by A in the number line?","explanation":"Each interval between whole numbers is divided into 8 equal parts. A is between 1 and 2, at the 5th mark past 1, so A = 1 5\/8.","question_image":"p4\/images\/tao-nan-2025-p4-end-of-year-exam-q3.png","answer0":"$$1\\frac{3}{8}$$","answer0_image":null,"answer1":"$$1\\frac{5}{8}$$","answer1_image":null,"answer2":"$$2\\frac{3}{8}$$","answer2_image":null,"answer3":"$$2\\frac{5}{8}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Tao Nan 2025 P4 End-of-Year Exam Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23249,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not an equivalent fraction of $$\\frac{2}{3}$$?","explanation":"2\/3 = 4\/6 = 6\/9 = 12\/18 (multiply numerator and denominator by the same number). 18\/24 simplifies to 3\/4, which is not equal to 2\/3, so it is not equivalent.","question_image":null,"answer0":"$$\\frac{4}{6}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{12}{18}$$","answer2_image":null,"answer3":"$$\\frac{18}{24}$$","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23250,"skill_id":130,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$10.36 \\times 8 =$$ ____________","explanation":"10.36 × 8 = (10 × 8) + (0.36 × 8) = 80 + 2.88 = 82.88.","question_image":null,"answer0":"82.88","answer0_image":null,"answer1":"80.88","answer1_image":null,"answer2":"80.36","answer2_image":null,"answer3":"18.36","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23251,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. Find $$\\angle x$$.","explanation":"Angle BCD of the square is 90°. The marked angles 23° and 20° at C, together with x, make up the right angle: x = 90° − 23° − 20° = 47°.","question_image":"p4\/images\/tao-nan-2025-p4-end-of-year-exam-q6.png","answer0":"43°","answer0_image":null,"answer1":"47°","answer1_image":null,"answer2":"67°","answer2_image":null,"answer3":"70°","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Tao Nan 2025 P4 End-of-Year Exam Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23253,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Joyce has 40 marbles. 10 marbles are red, 18 marbles are green and the rest are purple. What fraction of the marbles are purple?","explanation":"Purple = 40 − 10 − 18 = 12 marbles. Fraction purple = 12\/40 = 3\/10.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{10}$$","answer1_image":null,"answer2":"$$\\frac{7}{10}$$","answer2_image":null,"answer3":"$$\\frac{9}{20}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23259,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions below are smaller than $$\\frac{1}{2}$$?<br>$$\\frac{2}{3}$$ , $$\\frac{4}{9}$$ , $$\\frac{5}{11}$$ , $$\\frac{6}{12}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare each to 1\/2. 2\/3 > 1\/2; 6\/12 = 1\/2 (not smaller); 4\/9 < 1\/2 (since 4\/9 < 4.5\/9); 5\/11 < 1\/2 (since 5\/11 < 5.5\/11). So 5\/11 and 4\/9 are smaller than 1\/2.","question_image":null,"answer0":"5\/11","answer0_image":null,"answer1":"4\/9","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23260,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6} + \\frac{7}{12}$$? Express your answer as a mixed number.","explanation":"5\/6 = 10\/12. 10\/12 + 7\/12 = 17\/12 = 1 5\/12.","question_image":null,"answer0":"$$1\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{17}{12}$$","answer1_image":null,"answer2":"$$1\\frac{1}{12}$$","answer2_image":null,"answer3":"$$1\\frac{7}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q15","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23262,"skill_id":129,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$8.3 - 3.57 =$$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Line up decimals: 8.30 − 3.57 = 4.73.","question_image":null,"answer0":"4.73","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q17","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23263,"skill_id":126,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$0.6 = \\frac{6}{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}$$<br>What is the missing number in the box?","explanation":"0.6 = 6 tenths = 6\/10, so the missing denominator is 10.","question_image":null,"answer0":"10","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23264,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle x$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Using a protractor to measure the obtuse angle x at the bend, x = 164°.","question_image":"p4\/images\/tao-nan-2025-p4-end-of-year-exam-q19.png","answer0":"164","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2025 P4 End-of-Year Exam Q19","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23269,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"John drank 0.84 $$\\ell$$ of orange juice. He drank 0.44 $$\\ell$$ of orange juice less than Sam. How much orange juice did the two boys drink altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Sam drank 0.84 + 0.44 = 1.28 ℓ. Together: 0.84 + 1.28 = 2.12 ℓ.","question_image":null,"answer0":"2.12","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q25","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23270,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Bobby had $54. He spent $$\\frac{1}{6}$$ of it on some books. How much money did he have left? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Spent = 1\/6 × $54 = $9. Left = $54 − $9 = $45. (Or 5\/6 × $54 = $45.)","question_image":null,"answer0":"45","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q26","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:16","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:16","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23283,"skill_id":79,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"In March there were 312 students choosing a favourite sport, with 40 choosing tennis. In April, 8 new students chose badminton as their favourite sport. The number of students who chose tennis remained unchanged. What fraction of the students chose tennis as their favourite sport in April? Give your answer in the simplest form.","explanation":"New total in April = 312 + 8 = 320. Tennis is still 40. Fraction = 40\/320 = 1\/8.","question_image":null,"answer0":"$$\\frac{1}{8}$$","answer0_image":null,"answer1":"$$\\frac{5}{39}$$","answer1_image":null,"answer2":"$$\\frac{1}{7}$$","answer2_image":null,"answer3":"$$\\frac{40}{312}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q40","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:17","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23284,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Lee had red, yellow and purple files. $$\\frac{1}{4}$$ of the files were red and $$\\frac{3}{5}$$ of the files were yellow. The rest of the files were purple. What fraction of the files were purple?","explanation":"Red + Yellow = 1\/4 + 3\/5 = 5\/20 + 12\/20 = 17\/20. Purple = 1 − 17\/20 = 3\/20.","question_image":null,"answer0":"$$\\frac{3}{20}$$","answer0_image":null,"answer1":"$$\\frac{17}{20}$$","answer1_image":null,"answer2":"$$\\frac{4}{9}$$","answer2_image":null,"answer3":"$$\\frac{7}{20}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q41","type_id":1,"calculator":null,"created_at":"2026-05-29 07:52:17","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:52","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23285,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mr Lee had red, yellow and purple files. $$\\frac{1}{4}$$ were red, $$\\frac{3}{5}$$ were yellow and $$\\frac{3}{20}$$ were purple. Mr Lee had 40 red files. What was the difference between the number of yellow files and the number of purple files? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Red is 1\/4 = 5\/20 of the files and equals 40, so 5 units = 40, 1 unit = 8 (where 1 unit = 1\/20). Yellow = 12 units = 96; purple = 3 units = 24. Difference = 96 − 24 = 72.","question_image":null,"answer0":"72","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 End-of-Year Exam Q42","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:17","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:17","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23292,"skill_id":137,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of square A and rectangles B, C and D arranged so that B sits above A and C above D, with A and D forming the lower row and B and C the upper row. The perimeter of the figure is 80 cm and the perimeter of rectangle C is 48 cm. The area of rectangle B is 24 $$cm^2$$ less than the area of square A. What is the length of square A? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Square A and rectangle C (which spans the full width on the right) together set the outline. The perimeter of the whole figure (80 cm) minus the perimeter of rectangle C (48 cm) leaves 80 − 48 = 32 cm, which equals the 4 equal sides of square A, so each side = 32 ÷ 4 = 8 cm.","question_image":"p4\/images\/tao-nan-2025-p4-end-of-year-exam-q49.png","answer0":"8","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2025 P4 End-of-Year Exam Q49","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:17","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:17","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23293,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of square A (side 8 cm) and rectangles B, C and D. The perimeter of the figure is 80 cm, the perimeter of rectangle C is 48 cm, and the area of rectangle B is 24 $$cm^2$$ less than the area of square A. What is the area of the figure? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Area of square A = 8 × 8 = 64 cm². Area of B = 64 − 24 = 40 cm², and B shares the 8 cm width, so B's other side = 40 ÷ 8 = 5 cm. Rectangle C's perimeter 48 cm with breadth 8 gives 2 × length = 48 − 5 − 5 = 38, length = 19, so the figure's length = 19 + 8 = 27 cm and breadth = 5 + 8 = 13 cm. Area of figure = 27 × 13 = 351 cm².","question_image":"p4\/images\/tao-nan-2025-p4-end-of-year-exam-q50.png","answer0":"351","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Tao Nan 2025 P4 End-of-Year Exam Q50","type_id":2,"calculator":null,"created_at":"2026-05-29 07:52:17","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:52:17","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23294,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"In 125.34, which digit is in the tenths place?","explanation":"In a decimal, the first digit after the decimal point is the tenths place. In $$125.34$$ the digit after the point is 3, so the tenths digit is 3.","question_image":null,"answer0":"1","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23295,"skill_id":124,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Arrange the numbers from the smallest to the greatest.<br>$$6.7$$, $$0.67$$, $$6.07$$, $$0.76$$","explanation":"Compare whole-number parts first: $$0.67$$ and $$0.76$$ are less than 1; $$6.07$$ and $$6.7$$ are more than 6. Within each pair compare tenths: $$0.67 < 0.76$$ and $$6.07 < 6.70$$. Order: 0.67, 0.76, 6.07, 6.7.","question_image":null,"answer0":"0.67, 0.76, 6.07, 6.7","answer0_image":null,"answer1":"0.76, 0.67, 6.07, 6.7","answer1_image":null,"answer2":"6.07, 6.7, 0.67, 0.76","answer2_image":null,"answer3":"6.7, 6.07, 0.76, 0.67","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23296,"skill_id":123,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the decimal represented by Z on the number line?<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The interval from $$30.7$$ to $$30.8$$ is divided into 5 equal parts, so each part is $$0.1 \\div 5 = 0.02$$. Z sits one small mark before $$30.8$$, so $$30.8 - 0.02 = 30.78$$.","question_image":"p4\/images\/acs-2025-p4-weighted-assessment-3-q3.png","answer0":"30.78","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"ACS 2025 P4 Weighted Assessment 3 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23297,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Express $$5\\frac{73}{100}$$ as a decimal. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Round $$45.999$$ to the nearest 1 decimal place. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) $$\\frac{73}{100}$$ means 73 hundredths $$= 0.73$$, so $$5\\frac{73}{100} = 5.73$$. (b) Look at the hundredths digit of $$45.999$$, which is 9 (≥5), so round the tenths up: $$45.999 \\approx 46.0$$.","question_image":null,"answer0":"5.73","answer0_image":null,"answer1":"46.0","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23298,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The total length of two ropes, Rope P and Rope Q, is $$23.06$$ m.<br>The length of Rope Q is $$14.78$$ m.<br>What is the difference in length between Rope P and Rope Q?<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> m","explanation":"First find Rope P: $$23.06 - 14.78 = 8.28$$ m. The difference between Rope P and Rope Q is $$14.78 - 8.28 = 6.5$$ m.","question_image":null,"answer0":"6.5","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23299,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Bala had $$10.5$$ kg of sugar.<br>He used $$3.5$$ kg of it and repacked the rest equally into 5 boxes.<br>What was the mass of sugar in each box?<br>Ans: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> kg","explanation":"Sugar left after using some: $$10.5 - 3.5 = 7$$ kg. Repacked equally into 5 boxes: $$7 \\div 5 = 1.4$$ kg per box.","question_image":null,"answer0":"1.4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23300,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Siti paid $10.40 for a chocolate cake and 4 curry puffs.<br>Sumei paid $13.60 for a chocolate cake and 8 curry puffs.<br>Shanti bought 5 chocolate cakes.<br>(a) What was the cost of 1 curry puff? $<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How much did Shanti pay for the 5 chocolate cakes? $<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Sumei bought 4 more curry puffs than Siti and paid $$13.60 - 10.40 = \\$3.20$$ more. So 4 curry puffs cost $3.20, and 1 curry puff $$= 3.20 \\div 4 = \\$0.80$$. (b) Cost of 1 chocolate cake $$= 10.40 - (4 \\times 0.80) = 10.40 - 3.20 = \\$7.20$$. For 5 cakes: $$7.20 \\times 5 = \\$36.00$$.","question_image":null,"answer0":"0.80","answer0_image":null,"answer1":"36.00","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23301,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Janice had $$6$$ $$\\ell$$ of orange juice.<br>She poured $$3.85$$ $$\\ell$$ of orange juice equally into 7 identical cups.<br>(a) How much orange juice was left? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$<br>(b) How much orange juice was there in each cup? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$","explanation":"(a) Juice poured out is 3.85 ℓ, so juice left $$= 6 - 3.85 = 2.15$$ ℓ. (b) The 3.85 ℓ poured out is shared equally into 7 cups: $$3.85 \\div 7 = 0.55$$ ℓ in each cup.","question_image":null,"answer0":"2.15","answer0_image":null,"answer1":"0.55","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 3 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:27","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:27","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23302,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which digit in $$17.48$$ is in the tenths place?","explanation":"In $$17.48$$ the digit right after the decimal point is the tenths place. That digit is $$4$$. (The $$8$$ is in the hundredths place.) Answer: $$4$$.","question_image":null,"answer0":"1","answer0_image":null,"answer1":"7","answer1_image":null,"answer2":"8","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23303,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express $$6\\frac{7}{25}$$ as a decimal.","explanation":"Convert $$\\frac{7}{25}$$ to hundredths: $$\\frac{7}{25}=\\frac{7\\times4}{25\\times4}=\\frac{28}{100}=0.28$$. So $$6\\frac{7}{25}=6.28$$. Answer: $$6.28$$.","question_image":null,"answer0":"6.07","answer0_image":null,"answer1":"6.25","answer1_image":null,"answer2":"6.28","answer2_image":null,"answer3":"6.70","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23304,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a rectangle. $$\\angle EDF$$ is $$34°$$ and $$\\angle FDC$$ is $$14°$$. Find $$\\angle ADE$$.","explanation":"The corner of a rectangle is a right angle, so $$\\angle ADC=90°$$. This angle is split into $$\\angle ADE+\\angle EDF+\\angle FDC$$. So $$\\angle ADE=90°-34°-14°=42°$$. Answer: $$42°$$.","question_image":"p4\/images\/catholic-high-2025-p4-weighted-assessment-3-q3.png","answer0":"42°","answer0_image":null,"answer1":"48°","answer1_image":null,"answer2":"56°","answer2_image":null,"answer3":"76°","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23305,"skill_id":123,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The number line is marked at equal intervals. What decimal is represented by the letter G on the number line?","explanation":"From $$8.01$$ to $$8.02$$ is $$0.01$$, divided into 10 equal intervals, so each interval is $$0.001$$. G is 7 intervals from $$8.01$$: $$8.01+7\\times0.001=8.017$$. Answer: $$8.017$$.","question_image":"p4\/images\/catholic-high-2025-p4-weighted-assessment-3-q4.png","answer0":"8.007","answer0_image":null,"answer1":"8.017","answer1_image":null,"answer2":"8.07","answer2_image":null,"answer3":"8.17","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23306,"skill_id":128,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Round $$39.95$$ to 1 decimal place.","explanation":"To round to 1 decimal place, look at the hundredths digit. $$39.95$$ has hundredths digit $$5$$, so round the tenths up: $$39.9\\to40.0$$. Answer: $$40.0$$.","question_image":null,"answer0":"40.0","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23307,"skill_id":108,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Complete the number pattern.<br>$$7.38, 7.48, 7.47, 7.57, 7.56, 7.66,$$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$, 7.75, 7.74, 7.84$$","explanation":"The pattern alternates: +0.10 then -0.01. $$7.38(+0.10)7.48(-0.01)7.47(+0.10)7.57(-0.01)7.56(+0.10)7.66(-0.01)\\mathbf{7.65}(+0.10)7.75(-0.01)7.74(+0.10)7.84$$. The missing term is $$7.66-0.01=7.65$$. Answer: $$7.65$$.","question_image":null,"answer0":"7.65","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23308,"skill_id":236,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In a class of 40, the pupils participated in different Co-Curricular Activities. Each pupil only participated in 1 Co-Curricular Activity. The pie chart shows their participation. What fraction of the pupils in the class participated in Choir?","explanation":"Art is $$\\frac{3}{8}$$. Basketball, Choir and Scouts make up the rest. The right angle at the centre marks Basketball = $$\\frac{2}{8}$$ (quarter) and Scouts = $$\\frac{2}{8}$$. So Art+Basketball+Scouts $$=\\frac{3}{8}+\\frac{2}{8}+\\frac{2}{8}=\\frac{7}{8}$$. Choir $$=1-\\frac{7}{8}=\\frac{1}{8}$$. Answer: $$\\frac{1}{8}$$.","question_image":"p4\/images\/catholic-high-2025-p4-weighted-assessment-3-q7.png","answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{1}{8}$$","answer1_image":null,"answer2":"$$\\frac{1}{5}$$","answer2_image":null,"answer3":"$$\\frac{1}{10}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23309,"skill_id":236,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"In a class of 40, the pupils participated in different Co-Curricular Activities. Each pupil only participated in 1 Co-Curricular Activity. The pie chart shows their participation. How many pupils in the class participated in Basketball?","explanation":"Basketball is the right-angle (quarter) sector, so it is $$\\frac{2}{8}=\\frac{1}{4}$$ of the class. $$\\frac{1}{4}$$ of 40 $$=40\\div4=10$$ pupils. (Key working: $$40\\div8=5$$, $$5\\times2=10$$.) Answer: $$10$$.","question_image":"p4\/images\/catholic-high-2025-p4-weighted-assessment-3-q8.png","answer0":"10","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23310,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A water bottle contained $$1.2$$ $$l$$ of water. It contained $$2.5$$ $$l$$ less water than a kettle. How much water was there in 4 such kettles?","explanation":"One kettle holds $$1.2+2.5=3.7$$ $$l$$ (the bottle has 2.5 l less than a kettle). For 4 kettles: $$3.7\\times4=14.8$$ $$l$$. Answer: $$14.8$$ $$l$$.","question_image":null,"answer0":"14.8","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23311,"skill_id":129,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan had $$7.86$$ $$kg$$ of flour less than Mrs Siva. After Mrs Siva used $$10$$ $$kg$$ of flour, Mrs Tan had 3 times as much flour as Mrs Siva had left.<br>(a) How many more kilograms of flour did Mrs Tan have than Mrs Siva in the end? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How many kilograms of flour did Mrs Siva have left? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Mrs Tan's amount is unchanged. At the start Mrs Siva had $$7.86$$ kg more than Mrs Tan; after using $$10$$ kg, Mrs Siva is now $$10-7.86=2.14$$ kg less than Mrs Tan. So Mrs Tan has $$2.14$$ kg more than Mrs Siva in the end. (b) In the end Tan = 3 × Siva, so the difference (Tan − Siva) = 2 units = $$2.14$$ kg, giving 1 unit = Siva = $$2.14\\div2=1.07$$ kg. Answers: (a) $$2.14$$ kg, (b) $$1.07$$ kg.","question_image":null,"answer0":"2.14","answer0_image":null,"answer1":"1.07","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Catholic High 2025 P4 Weighted Assessment 3 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23312,"skill_id":123,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The value of the digit 3 in 57.43 is ____________.","explanation":"The digit 3 in 57.43 is in the hundredths place. Its value is $$3 \\times 0.01 = 0.03$$.","question_image":null,"answer0":"0.03","answer0_image":null,"answer1":"0.3","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"30","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23313,"skill_id":128,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Round 32.786 to the nearest hundredth.","explanation":"The hundredths digit is 8; the thousandths digit is 6 (≥5), so round up. $$32.786 \\approx 32.79$$.","question_image":null,"answer0":"32.70","answer0_image":null,"answer1":"32.78","answer1_image":null,"answer2":"32.79","answer2_image":null,"answer3":"33.00","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23314,"skill_id":127,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$8\\frac{5}{20}$$ as a decimal.","explanation":"$$\\frac{5}{20} = \\frac{25}{100} = 0.25$$, so $$8\\frac{5}{20} = 8.25$$.","question_image":null,"answer0":"8.52","answer0_image":null,"answer1":"8.5","answer1_image":null,"answer2":"8.25","answer2_image":null,"answer3":"8.052","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23316,"skill_id":131,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Mary bought 3 m of ribbon. She used 1.65 m of it to tie a present. How many metres of ribbon had she left?","explanation":"$$3 - 1.65 = 1.35$$. She had 1.35 m of ribbon left.","question_image":null,"answer0":"4.65 m","answer0_image":null,"answer1":"2.35 m","answer1_image":null,"answer2":"1.62 m","answer2_image":null,"answer3":"1.35 m","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23317,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A bag costs four times as much as a purse. Jamie paid $33 for a bag and 2 purses. How much did a bag cost?","explanation":"Let a purse be 1 unit; a bag is 4 units. Bag + 2 purses = 4 + 2 = 6 units = $33, so 1 unit = $5.50. A bag = 4 units = $$4 \\times 5.50 = 22$$.","question_image":null,"answer0":"$5.50","answer0_image":null,"answer1":"$11","answer1_image":null,"answer2":"$22","answer2_image":null,"answer3":"$27.50","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23318,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. $$\\angle b$$ is twice the size of $$\\angle a$$. Find $$\\angle a$$.","explanation":"Angle DAB of the square is 90°. So $$\\angle a + \\angle b + 51° = 90°$$. Since $$\\angle b = 2\\angle a$$, $$3\\angle a + 51° = 90°$$, giving $$3\\angle a = 39°$$ and $$\\angle a = 13°$$.","question_image":"p4\/images\/nan-hua-2025-p4-weighted-assessment-3-q7.png","answer0":"13","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23319,"skill_id":125,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Divide 6 by 7. Correct your answer to 1 decimal place.","explanation":"$$6 \\div 7 = 0.857...$$. The second decimal digit is 5, so round up the first decimal place: $$0.857... \\approx 0.9$$.","question_image":null,"answer0":"0.9","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23320,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Pearly had $$5.4\\ell$$ of watermelon juice. Pearly had twice as much watermelon juice as May. May had three times as much watermelon juice as Amy. How much more watermelon juice does Pearly have than Amy?","explanation":"May = $$5.4 \\div 2 = 2.7$$ L. Amy = $$2.7 \\div 3 = 0.9$$ L. Pearly has $$5.4 - 0.9 = 4.5$$ L more than Amy.","question_image":null,"answer0":"4.5","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23321,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Tan had 2.53 kg more flour than Mrs Sim. After Mrs Tan used 4.09 kg of flour, Mrs Sim had four times as much flour as Mrs Tan had left. How many kilograms of flour did Mrs Tan have at first?","explanation":"After using 4.09 kg, Mrs Tan's amount is (Tan first − 4.09). Mrs Sim = Tan first − 2.53. Sim = 4 × Tan's remaining: $$T - 2.53 = 4(T - 4.09)$$. So $$T - 2.53 = 4T - 16.36$$, giving $$3T = 13.83$$ and $$T = 4.61$$ kg. (Equivalently the difference 4.09 − 2.53 = 1.56 kg equals 3 units of Tan's remainder; 1 unit = 0.52 kg; Tan first = 0.52 + 4.09 = 4.61 kg.)","question_image":null,"answer0":"4.61","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23322,"skill_id":131,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mr Tan placed 8 flags around the border of a square field. The distance between each flag and the next was equal for all the flags. The distance between the 1st flag and the 6th flag was 27 m. What was the total distance of the border around the square field?","explanation":"From the 1st flag to the 6th flag there are 5 gaps: $$27 \\div 5 = 5.4$$ m per gap. With 8 flags around a closed border there are 8 equal gaps: $$5.4 \\times 8 = 43.2$$ m.","question_image":null,"answer0":"43.2","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 3 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:47","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:47","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23323,"skill_id":116,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the product of 454 and 18?","explanation":"Multiply 454 by 18. $$454 \\times 18 = 454 \\times 10 + 454 \\times 8 = 4540 + 3632 = 8172$$. The product is 8172.","question_image":null,"answer0":"4086","answer0_image":null,"answer1":"7172","answer1_image":null,"answer2":"7142","answer2_image":null,"answer3":"8172","answer3_image":null,"correct_answer":3,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 1 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23325,"skill_id":108,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Look at the number sequence carefully.<br>24, 28, 32, 36, 40, … …<br>What is the 20th number?","explanation":"The sequence increases by 4 each time, starting at 24. The number of 4s added is 1 less than the position, so the 20th term adds $$19 \\times 4 = 76$$. Then $$76 + 24 = 100$$.","question_image":null,"answer0":"194","answer0_image":null,"answer1":"100","answer1_image":null,"answer2":"80","answer2_image":null,"answer3":"76","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 1 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:49","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:49","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23326,"skill_id":117,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the remainder when 5729 is divided by 9?","explanation":"Divide 5729 by 9: $$5729 \\div 9 = 636$$ remainder 5, since $$636 \\times 9 = 5724$$ and $$5729 - 5724 = 5$$. The remainder is 5.","question_image":null,"answer0":"5","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 1 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:50","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23328,"skill_id":115,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Find the 7th multiple of 4.<br>(b) List down the second common multiple of 6 and 9.","explanation":"(a) The 7th multiple of 4 is $$7 \\times 4 = 28$$. (b) Multiples of 6: 6, 12, 18, 24, 30, 36, …; multiples of 9: 9, 18, 27, 36, …. Common multiples are 18 (1st) and 36 (2nd), so the second common multiple is 36.","question_image":null,"answer0":"28","answer0_image":null,"answer1":"36","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 1 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:50","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23330,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Denise has some stamps and pens. She has as many stamps as pens. When she gives each friend 3 pens, she will have 9 pens left. When each friend gets 4 stamps from Denise, she will have 6 extra stamps. How many friends does Denise have?","explanation":"Let the number of friends be a value. Pens = $$3 \\times \\text{friends} + 9$$ and stamps = $$4 \\times \\text{friends} + 6$$. Since stamps equal pens, $$3 \\times \\text{friends} + 9 = 4 \\times \\text{friends} + 6$$, so $$9 - 6 = 4 \\times \\text{friends} - 3 \\times \\text{friends}$$, giving friends = 3. (Check: 3 friends → pens = $$3 \\times 3 + 9 = 18$$, stamps = $$4 \\times 3 + 6 = 18$$.)","question_image":null,"answer0":"3","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:50","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23331,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Devi baked 675 cookies on Saturday. She baked 4 times as many cookies on Sunday as on Saturday.<br>(a) How many cookies did she bake on Sunday?<br>(b) Devi packed all the cookies that she baked on Saturday into boxes. Each box had 5 cookies. How many boxes of cookies did she pack? Round your answer to the nearest ten.","explanation":"(a) Sunday = 4 times Saturday = $$675 \\times 4 = 2700$$ cookies. (b) Boxes = $$675 \\div 5 = 135$$ boxes; rounded to the nearest ten this is 140.","question_image":null,"answer0":"2700","answer0_image":null,"answer1":"140","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:50","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:50","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23332,"skill_id":105,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"$$12\\,608 = 10\\,000 + 2000 + [?] + 8$$<br>What is the missing number in the box?","explanation":"Method: subtract the known parts from the total. $$12\\,608 - 10\\,000 - 2000 - 8 = 600$$. The missing number is 600 (the hundreds place value of 12 608).","question_image":null,"answer0":"6","answer0_image":null,"answer1":"60","answer1_image":null,"answer2":"600","answer2_image":null,"answer3":"6000","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23333,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the missing numerator in the box?<br>$$4\\frac{1}{3} = \\frac{[?]}{3}$$","explanation":"Method: convert the mixed number to an improper fraction. $$4\\frac{1}{3} = \\frac{4 \\times 3 + 1}{3} = \\frac{13}{3}$$. The missing numerator is 13.","question_image":null,"answer0":"13","answer0_image":null,"answer1":"12","answer1_image":null,"answer2":"8","answer2_image":null,"answer3":"5","answer3_image":null,"correct_answer":0,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23334,"skill_id":147,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of books read by the students in Class 4E in a week.<br>How many more fiction books were read by the girls than the boys?","explanation":"Method: read the fiction column. Girls read 35 fiction books, boys read 23. $$35 - 23 = 12$$. The girls read 12 more fiction books than the boys.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q3.png","answer0":"13","answer0_image":null,"answer1":"12","answer1_image":null,"answer2":"7","answer2_image":null,"answer3":"6","answer3_image":null,"correct_answer":1,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23335,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find $$\\angle ABC$$.","explanation":"Method: read the protractor along ray BA (the 0° baseline) up to ray BC. Ray BA lies on the right-hand 0° mark, so read the inner scale; ray BC falls on 118°. $$\\angle ABC = 118°$$.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q4.png","answer0":"62°","answer0_image":null,"answer1":"78°","answer1_image":null,"answer2":"118°","answer2_image":null,"answer3":"122°","answer3_image":null,"correct_answer":2,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23336,"skill_id":112,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"4 is <b>not<\/b> a factor of ____________.","explanation":"Method: test divisibility by 4. $$16 = 4 \\times 4$$, $$32 = 4 \\times 8$$, $$60 = 4 \\times 15$$ — all divisible. $$27 \\div 4 = 6\\,R3$$, so 4 is not a factor of 27.","question_image":null,"answer0":"16","answer0_image":null,"answer1":"27","answer1_image":null,"answer2":"32","answer2_image":null,"answer3":"60","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23337,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many more squares must be shaded so that $$\\frac{2}{5}$$ of the figure is shaded?","explanation":"Method: the figure is a 5 by 5 grid = 25 squares. $$\\frac{2}{5} \\text{ of } 25 = 10$$ squares need to be shaded. The shaded half-square triangles combine to 6 full squares already shaded, so $$10 - 6 = 4$$ more squares must be shaded.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q6.png","answer0":"6","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"10","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":3,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23338,"skill_id":115,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"(a) What is the first common multiple of 3 and 7? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Round 18 067 to the nearest hundred. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) List multiples: 3, 6, 9, 12, 15, 18, 21... and 7, 14, 21... The first common multiple is 21 ($$3 \\times 7$$). (b) The tens digit of 18 067 is 6, which is 5 or more, so round up: 18 067 rounds to 18 100.","question_image":null,"answer0":"21","answer0_image":null,"answer1":"18100","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23339,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Figure WXYZ is a rectangle. Find $$\\angle p$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Method: the corner X of the rectangle is a right angle (90°). The 49° angle and $$\\angle p$$ together make up that right angle at X. $$\\angle p = 90° - 49° = 41°$$.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q8.png","answer0":"41","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23340,"skill_id":147,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The line graph shows Dawn's savings over 6 weeks.<br>(a) What was Dawn's savings in Week 4? $$\\$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) During which 1-week period was the increase in Dawn's savings the greatest? Week <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> to Week <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Read the graph at Week 4: the point is at $16. (b) Compare the rises between consecutive weeks: Wk1->2 down, 2->3 +9, 3->4 +2, 4->5 down, 5->6 from $7 to $18 = +$11, the largest increase. So Week 5 to Week 6.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q9.png","answer0":"16","answer0_image":null,"answer1":"5","answer1_image":null,"answer2":"6","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23341,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Harry bought some brownies. He packed them into boxes of 6. Then, he had 48 boxes of brownies and 5 brownies were left unpacked. How many brownies did Harry buy? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: brownies in full boxes $$= 48 \\times 6 = 288$$. Add the 5 unpacked: $$288 + 5 = 293$$. Harry bought 293 brownies.","question_image":null,"answer0":"293","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23342,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) What is the mixed number represented by A on the number line shown? Express your answer in the simplest form. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Name a fraction greater than $$\\frac{2}{5}$$ but smaller than $$\\frac{4}{7}$$. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Between 1 and 2 the line is divided into smaller parts; A sits at the mark giving $$1\\frac{2}{3}$$ in simplest form. (b) $$\\frac{2}{5} = 0.4$$ and $$\\frac{4}{7} \\approx 0.571$$; $$\\frac{3}{7} \\approx 0.429$$ lies between them, so $$\\frac{3}{7}$$ works.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q11.png","answer0":"1 2\/3","answer0_image":null,"answer1":"3\/7","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23343,"skill_id":100,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Figure ABCDE is drawn on the square grid shown. In the figure, identify a pair of perpendicular lines.<br>Line <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\perp$$ Line <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: perpendicular lines meet at a right angle. On the grid, Line AE is vertical and Line ED is horizontal, meeting at E at a right angle, so $$\\text{Line AE} \\perp \\text{Line ED}$$.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q12.png","answer0":"AE","answer0_image":null,"answer1":"ED","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:53","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23344,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jenny bought 2 tables and 3 chairs. Each table cost twice as much as a chair. Jenny spent a total of $378.<br>(a) Find the cost of a chair. $$\\$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Find the cost of the 2 tables. $$\\$$<input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method (units): a table = 2 chair-units. 2 tables = 4 units, 3 chairs = 3 units, total = 7 units = $378. (a) 1 chair = $$378 \\div 7 = \\$54$$. (b) 2 tables = 4 units = $$54 \\times 4 = \\$216$$.","question_image":null,"answer0":"54","answer0_image":null,"answer1":"216","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:54","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23345,"skill_id":108,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Johnny used squares and dots to form a pattern. The number of squares and dots for Figures 1 to 4 are 1 square\/4 dots, 3 squares\/8 dots, 5 squares\/12 dots, 7 squares\/16 dots.<br>(a) For Figure 5: Number of Squares = <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, Number of Dots = <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How many squares are used to form Figure 12? <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Squares go 1, 3, 5, 7, ... (add 2 each time), so Figure 5 = 9 squares. Dots go 4, 8, 12, 16, ... (add 4 each time), so Figure 5 = 20 dots. Squares = $$2 \\times \\text{figure} - 1$$, so Figure 12 = $$2 \\times 12 - 1 = 23$$ squares.","question_image":"p4\/images\/plmgs-2025-p4-weighted-assessment-1-q14.png","answer0":"9","answer0_image":null,"answer1":"20","answer1_image":null,"answer2":"23","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"PLMGS 2025 P4 Weighted Assessment 1 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 07:56:54","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:56:54","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23359,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The amount of sugar in Box A is 250 $$g$$ more than the amount of sugar in Box B. After Mrs Lim used 350 $$g$$ of sugar in Box B to bake some cupcakes, the amount of sugar in Box A is 5 times as much as the amount of sugar in Box B.<br>(a) How much sugar is left in Box B?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$g$$<br>(b) How much sugar is there in Box A?<br><input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$g$$","explanation":"After Box B loses 350 g, let Box B = 1 unit and Box A = 5 units. Box A is unchanged, so the difference is now 250 + 350 = 600 g = 4 units. 1 unit = 600 divided by 4 = 150 g, so (a) Box B has 150 g left. (b) Box A = 5 units = 5 x 150 = 750 g.","question_image":null,"answer0":"150","answer0_image":null,"answer1":"750","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 1 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:04","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:04","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23361,"skill_id":105,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the value of the digit 7 in $$70\\ 246$$?","explanation":"The digit 7 is in the ten-thousands place. Its value is $$7 \\times 10\\,000 = 70\\ 000$$.","question_image":null,"answer0":"70","answer0_image":null,"answer1":"700","answer1_image":null,"answer2":"7000","answer2_image":null,"answer3":"70 000","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 07:57:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23362,"skill_id":114,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is a multiple of 8?","explanation":"A multiple of 8 can be divided exactly by 8. $$32 = 8 \\times 4$$, so 32 is a multiple of 8.","question_image":null,"answer0":"1","answer0_image":null,"answer1":"18","answer1_image":null,"answer2":"32","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:57:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23363,"skill_id":116,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the product of 3 and 1356?","explanation":"Product means multiply: $$3 \\times 1356 = 4068$$.","question_image":null,"answer0":"452","answer0_image":null,"answer1":"1359","answer1_image":null,"answer2":"3968","answer2_image":null,"answer3":"4068","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 07:57:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23364,"skill_id":115,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following is a multiple of both 4 and 5?","explanation":"A common multiple of 4 and 5 must be in both times tables. $$40 = 4 \\times 10 = 5 \\times 8$$, so 40 is a multiple of both.","question_image":null,"answer0":"9","answer0_image":null,"answer1":"24","answer1_image":null,"answer2":"40","answer2_image":null,"answer3":"50","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 07:57:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23366,"skill_id":105,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the missing number?<br>$$10\\ 000 + 5000 + 30 + 8 =$$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Add the place values: $$10\\ 000 + 5000 + 30 + 8 = 15\\ 038$$.","question_image":null,"answer0":"15038","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q6a","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23367,"skill_id":107,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following numbers from the smallest to the greatest.<br>$$54\\ 678$$, $$54\\ 867$$, $$45\\ 876$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Compare digit by digit from the left. 45 876 starts with 4 (smallest). Between 54 678 and 54 867, compare hundreds: 6 < 8, so 54 678 < 54 867. Order: 45 876, 54 678, 54 867.","question_image":null,"answer0":"45876","answer0_image":null,"answer1":"54678","answer1_image":null,"answer2":"54867","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q6b","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23368,"skill_id":108,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Write the missing number in the number pattern.<br>$$88\\ 520$$, $$88\\ 720$$, $$88\\ 920$$, <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, $$89\\ 320$$,","explanation":"The pattern increases by 200 each step. $$88\\ 920 + 200 = 89\\ 120$$ (and $$89\\ 320 - 200 = 89\\ 120$$).","question_image":null,"answer0":"89120","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q7a","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23369,"skill_id":109,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A number is $$29\\ 800$$ when rounded to the nearest 100. What is the greatest possible whole number? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Numbers that round to 29 800 (nearest 100) range from 29 750 up to 29 849. The greatest whole number is 29 849 (29 850 would round up to 29 900).","question_image":null,"answer0":"29849","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q7b","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23370,"skill_id":111,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Some factors of 32 are 1, 2, 4 and 32. What are the other two factors of 32? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"The factors of 32 are 1, 2, 4, 8, 16, 32. The two not listed are 8 and 16 ($$8 \\times 4 = 32$$, $$16 \\times 2 = 32$$).","question_image":null,"answer0":"8","answer0_image":null,"answer1":"16","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23371,"skill_id":116,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A shop had 104 boxes of oranges. Each box had 73 oranges. How many oranges were there altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Multiply boxes by oranges per box: $$104 \\times 73 = 7592$$.","question_image":null,"answer0":"7592","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23373,"skill_id":111,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"I am a number between 25 and 35. I am a multiple of 3. One of my factors is 5. What number am I? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Multiples of 3 between 25 and 35: 27, 30, 33. Of these, only 30 has 5 as a factor ($$30 \\div 5 = 6$$). The number is 30.","question_image":null,"answer0":"30","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23374,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Alex and Betty had a total of 308 stickers at first. After Alex gave away 56 stickers, Betty had 3 times as many stickers as Alex. How many stickers did Alex have at first? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After Alex gives away 56, the remaining total is $$308 - 56 = 252$$. Then Betty : Alex = 3 : 1, so 4 units = 252 → 1 unit = 63. Alex had 63 after, so at first $$63 + 56 = 119$$.","question_image":null,"answer0":"119","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23376,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ryan baked 3 times as many cookies as Chloe. Ryan sold 66 of his cookies and Chloe sold 10 of her cookies. They then had the same number of cookies left. How many cookies did Ryan bake? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Ryan = 3 units, Chloe = 1 unit. After selling, 3 units − 66 = 1 unit − 10, so 2 units = 66 − 10 = 56 → 1 unit = 28. Ryan baked 3 units = $$28 \\times 3 = 84$$.","question_image":null,"answer0":"84","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 1 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:08","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:08","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23378,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write $$4\\frac{2}{3}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: 4 x 3 + 2 = 14. Keep the denominator: 14\/3.","question_image":null,"answer0":"$$\\frac{12}{3}$$","answer0_image":null,"answer1":"$$\\frac{8}{3}$$","answer1_image":null,"answer2":"$$\\frac{14}{3}$$","answer2_image":null,"answer3":"$$\\frac{11}{3}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 1 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 07:57:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23384,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$1 - \\frac{1}{4} - \\frac{5}{12}$$<br>Express your answer in the simplest form.","explanation":"Use twelfths: 1 = 12\/12. 12\/12 - 3\/12 - 5\/12 = 4\/12 = 1\/3.","question_image":null,"answer0":"$$\\frac{1}{3}$$","answer0_image":null,"answer1":"$$\\frac{4}{12}$$","answer1_image":null,"answer2":"$$\\frac{5}{12}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 1 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 07:57:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23385,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which two of the fractions are equivalent?<br>$$\\frac{8}{12}$$, $$\\frac{3}{9}$$, $$\\frac{4}{6}$$, $$\\frac{6}{8}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Simplify each: 8\/12 = 2\/3, 3\/9 = 1\/3, 4\/6 = 2\/3, 6\/8 = 3\/4. Both 8\/12 and 4\/6 equal 2\/3, so they are equivalent.","question_image":null,"answer0":"8\/12","answer0_image":null,"answer1":"4\/6","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 1 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23386,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 75 fruits in a box. $$\\frac{1}{5}$$ of the fruits are apples and the rest are oranges. How many oranges are there?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"1\/5 of 75 = 75 \/ 5 = 15 apples. Oranges = 4\/5 of 75 = 15 x 4 = 60.","question_image":null,"answer0":"60","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 1 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23391,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mary had some money. She spent $$\\frac{1}{4}$$ of her money on food and $$\\frac{5}{8}$$ of her money on books. She spent $24 more on books than food. How much money did she have at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Food = 1\/4 = 2\/8, books = 5\/8. Difference = 5\/8 - 2\/8 = 3\/8 of her money = $24, so 1\/8 = 24 \/ 3 = $8. Total money = 8\/8 = 8 x 8 = $64.","question_image":null,"answer0":"64","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 1 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23392,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Cathy and Donna had 465 stickers. After Cathy used $$\\frac{1}{3}$$ of her stickers and Donna used 30 stickers, they had the same number of stickers left. How many stickers did Donna have at first?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"After Donna uses 30, the remaining total = 465 - 30 = 435. Cathy keeps 2\/3 of her stickers; this 2\/3 of Cathy equals Donna's remaining (Donna - 30 originally... ). Using the key method: 435 \/ 5 = 87 (one part), so Cathy's 1\/3 = 87 used. Donna's stickers left = 87 x 2 = 174, and Donna at first = 174 + 30 = 204.","question_image":null,"answer0":"204","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 1 Q17","type_id":2,"calculator":null,"created_at":"2026-05-29 07:57:12","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 07:57:12","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23393,"skill_id":147,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The table shows the favourite colours of some children.<br>Colour: Red, Green, Blue, Black, Yellow<br>Number of children: 12, 9, 13, 3, 6<br>Which colour is liked by twice as many children as those who like the colour yellow?","explanation":"Yellow is liked by 6 children. Twice 6 is $$2 \\times 6 = 12$$. Red is liked by 12 children, so the answer is Red.","question_image":null,"answer0":"Red","answer0_image":null,"answer1":"Green","answer1_image":null,"answer2":"Blue","answer2_image":null,"answer3":"Black","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23394,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$3\\frac{1}{8}$$ as an improper fraction.","explanation":"Multiply the whole number by the denominator and add the numerator: $$3 \\times 8 + 1 = 25$$. So $$3\\frac{1}{8} = \\frac{25}{8}$$.","question_image":null,"answer0":"$$\\frac{11}{8}$$","answer0_image":null,"answer1":"$$\\frac{13}{8}$$","answer1_image":null,"answer2":"$$\\frac{25}{8}$$","answer2_image":null,"answer3":"$$\\frac{31}{8}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23395,"skill_id":77,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not an equivalent fraction of $$\\frac{3}{4}$$?","explanation":"$$\\frac{6}{8}, \\frac{9}{12}, \\frac{15}{20}$$ all simplify to $$\\frac{3}{4}$$. $$\\frac{13}{14}$$ does not, so it is not equivalent.","question_image":null,"answer0":"$$\\frac{6}{8}$$","answer0_image":null,"answer1":"$$\\frac{9}{12}$$","answer1_image":null,"answer2":"$$\\frac{13}{14}$$","answer2_image":null,"answer3":"$$\\frac{15}{20}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23396,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the difference between $$\\frac{1}{3}$$ and $$\\frac{5}{8}$$.","explanation":"Use a common denominator of 24: $$\\frac{5}{8} = \\frac{15}{24}$$ and $$\\frac{1}{3} = \\frac{8}{24}$$. The difference is $$\\frac{15}{24} - \\frac{8}{24} = \\frac{7}{24}$$.","question_image":null,"answer0":"$$\\frac{1}{24}$$","answer0_image":null,"answer1":"$$\\frac{1}{6}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{7}{24}$$","answer3_image":null,"correct_answer":3,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23397,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of pupils in two CCAs.<br>Concert Band: 15 girls, 17 boys, total ?<br>Robotics Club: 17 girls, ? boys, total 97<br>How many more boys than girls are there in Robotics Club? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Number of boys in Robotics Club $$= 97 - 17 = 80$$. More boys than girls $$= 80 - 17 = 63$$.","question_image":null,"answer0":"63","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23398,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of pupils in two CCAs.<br>Concert Band: 15 girls, 17 boys, total ?<br>Robotics Club: 17 girls, ? boys, total 97<br>How many fewer pupils joined Concert Band than Robotics Club? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Concert Band total $$= 17 + 15 = 32$$ pupils. Robotics Club has 97 pupils. Fewer $$= 97 - 32 = 65$$.","question_image":null,"answer0":"65","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23399,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{3}{5} + \\frac{5}{8}$$? Express your answer as a mixed number.","explanation":"Use a common denominator of 40: $$\\frac{3}{5} = \\frac{24}{40}$$ and $$\\frac{5}{8} = \\frac{25}{40}$$. Sum $$= \\frac{49}{40} = 1\\frac{9}{40}$$.","question_image":null,"answer0":"$$1\\frac{9}{40}$$","answer0_image":null,"answer1":"$$\\frac{49}{40}$$","answer1_image":null,"answer2":"$$1\\frac{8}{13}$$","answer2_image":null,"answer3":"$$1\\frac{1}{40}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23400,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Use the protractor to measure $$\\angle DCA$$.<br>$$\\angle DCA$$ = <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Ray CD lies along the 0 degree mark and ray CA points to the 45 degree mark on the inner scale, so measuring from D the angle $$\\angle DCA = 180 - 45 = 135$$ degrees.","question_image":"p4\/images\/acs-2025-p4-weighted-assessment-2-q8.png","answer0":"135","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"ACS 2025 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23401,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of P4 pupils who took part in different activities at 'Sports Day'.<br>Relay Race: 48, Soccer: 36, Tug-of-war: 52, Volleyball: 64<br>(a) How many pupils took part in the activities? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Some pupils took part in an activity at 'Sports Day' that had $$\\frac{3}{4}$$ as many pupils who took part in Volleyball. Which activity was it? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Total $$= 48 + 36 + 52 + 64 = 200$$ pupils. (b) $$\\frac{3}{4}$$ of Volleyball $$= 64 \\div 4 = 16$$, then $$16 \\times 3 = 48$$. The activity with 48 pupils is Relay Race.","question_image":null,"answer0":"200","answer0_image":null,"answer1":"Relay Race","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23402,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{3}{8}$$ of counters in a container are red and the rest are blue.<br>(a) What fraction of the counters are blue?","explanation":"(a) Blue $$= 1 - \\frac{3}{8} = \\frac{5}{8}$$. (b) Blue minus red $$= \\frac{5}{8} - \\frac{3}{8} = \\frac{2}{8}$$, so 2 units $$= 34$$, 1 unit $$= 17$$. Total is 8 units $$= 17 \\times 8 = 136$$ counters.","question_image":null,"answer0":"$$\\frac{5}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{8}$$","answer1_image":null,"answer2":"$$\\frac{1}{2}$$","answer2_image":null,"answer3":"$$\\frac{5}{16}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q11","type_id":1,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23403,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Rena and Sebastian shared 72 stickers. Rena had $$\\frac{4}{9}$$ of the stickers.<br>(a) How many stickers did Rena have? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) How many stickers would Sebastian give to Rena so that both had an equal number of stickers? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) 9 units $$= 72$$, so 1 unit $$= 8$$; Rena $$= 4 \\times 8 = 32$$ stickers. (b) Sebastian has $$72 - 32 = 40$$. Equal share $$= 72 \\div 2 = 36$$, so Sebastian gives $$40 - 36 = 4$$ (i.e. $$8 \\div 2 = 4$$).","question_image":null,"answer0":"32","answer0_image":null,"answer1":"4","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"ACS 2025 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23404,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the number of days with rainfall in Singapore from July to December.<br>(a) How many days of rainfall were there from July to November? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) There were 107 days of rainfall from July to December. How many days of rainfall were there in December? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) From the graph Jul=16, Aug=19, Sep=9, Oct=12, Nov=24. Total $$= 16 + 19 + 9 + 12 + 24 = 80$$ days. (b) December $$= 107 - 80 = 27$$ days.","question_image":"p4\/images\/acs-2025-p4-weighted-assessment-2-q13.png","answer0":"80","answer0_image":null,"answer1":"27","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"ACS 2025 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 08:08:51","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:08:51","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23405,"skill_id":140,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"(a) What is the size of $$\\angle QRT$$?<br>(b) Measure $$\\angle x$$ with a protractor.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> °<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> °","explanation":"(a) The arm RT lines up with the 135 mark read from the correct scale of the protractor, so $$\\angle QRT = 135°$$. (b) Reading the drawn angle x with a protractor gives $$\\angle x = 43°$$.","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-2-q1.png","answer0":"135","answer0_image":null,"answer1":"43","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q1","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23406,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"ABCD is a square. Find $$\\angle CBE$$.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> °","explanation":"Each angle of a square is 90°, so $$\\angle ABC = 90°$$. The marked angle ABE is 63°, so $$\\angle CBE = 90° - 63° = 27°$$.","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-2-q2.png","answer0":"27","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q2","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23407,"skill_id":128,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"(a) Round 168.205 to 2 decimal places.<br>(b) Express $$\\frac{3}{25}$$ as a decimal.<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) The digit in the 3rd decimal place is 5, so round the 2nd decimal place up: $$168.205 \\approx 168.21$$. (b) Make the denominator 100: $$\\frac{3}{25} = \\frac{12}{100} = 0.12$$.","question_image":null,"answer0":"168.21","answer0_image":null,"answer1":"0.12","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q3","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23408,"skill_id":129,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$3.9 + 15.72$$. Round your answer to the nearest tenth.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$3.90 + 15.72 = 19.62$$. The hundredths digit is 2, so it rounds down: $$19.62 \\approx 19.6$$ to the nearest tenth.","question_image":null,"answer0":"19.6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23409,"skill_id":139,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Name the marked angle.","explanation":"The angle is marked at vertex M, between arms ML and MN, so it is named $$\\angle LMN$$ (vertex letter in the middle).","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-2-q5.png","answer0":"$$\\angle LMN$$","answer0_image":null,"answer1":"$$\\angle MLN$$","answer1_image":null,"answer2":"$$\\angle LNO$$","answer2_image":null,"answer3":"$$\\angle MNO$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23410,"skill_id":130,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the product of 6 ones and 72 hundredths?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"6 ones = 6 and 72 hundredths = 0.72. The product is $$6 \\times 0.72 = 4.32$$.","question_image":null,"answer0":"4.32","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23411,"skill_id":124,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following in increasing order.<br>$$4\\frac{3}{4}$$ , 4.90, $$4\\frac{7}{10}$$ , 4.65<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> , <input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(smallest)","explanation":"Convert all to decimals: $$4\\frac{3}{4}=4.75$$, $$4.90$$, $$4\\frac{7}{10}=4.70$$, $$4.65$$. In increasing order: 4.65, 4.70, 4.75, 4.90, i.e. 4.65, $$4\\frac{7}{10}$$, $$4\\frac{3}{4}$$, 4.9.","question_image":null,"answer0":"4.65","answer0_image":null,"answer1":"4 7\/10","answer1_image":null,"answer2":"4 3\/4","answer2_image":null,"answer3":"4.9","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23412,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"5 identical bags of flour weigh $$28.15$$ $$kg$$ in total. How much do 8 identical bags of flour weigh?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> kg","explanation":"1 bag = $$28.15 \\div 5 = 5.63$$ kg. 8 bags = $$5.63 \\times 8 = 45.04$$ kg.","question_image":null,"answer0":"45.04","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23413,"skill_id":197,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"WXYZ is a rectangle.<br>(a) State whether each statement is true or false.<br>(i) $$\\angle a$$ is a right angle.<br>(ii) $$\\angle b$$ is an acute angle.<br>(b) Given that $$\\angle c = \\angle d$$, find $$\\angle c$$.<br>(a)(i) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(a)(ii) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> °","explanation":"(a)(i) $$\\angle a$$ is the corner of the rectangle at W, which is 90°, so TRUE. (ii) $$\\angle b$$ is larger than a right angle here, so it is not acute: FALSE. (b) At Z the rectangle corner is 90°. The 38° angle and angles c and d together make 90°, so $$\\angle c + \\angle d = 90° - 38° = 52°$$. Since $$\\angle c = \\angle d$$, $$\\angle c = 52° \\div 2 = 26°$$.","question_image":"p4\/images\/henry-park-2025-p4-weighted-assessment-2-q10.png","answer0":"True","answer0_image":null,"answer1":"False","answer1_image":null,"answer2":"26","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23414,"skill_id":131,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A tailor used $$42.1$$ $$m$$ of fabric on Monday. He used $$28.62$$ $$m$$ more fabric on Monday than on Tuesday.<br>(a) How many metres of fabric did the tailor use on Tuesday?<br>(b) How many metres of fabric did he use altogether over the two days?<br>(a) <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> m<br>(b) <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/> m","explanation":"(a) Tuesday = Monday − 28.62 = $$42.10 - 28.62 = 13.48$$ m. (b) Total = Monday + Tuesday = $$42.10 + 13.48 = 55.58$$ m.","question_image":null,"answer0":"13.48","answer0_image":null,"answer1":"55.58","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Henry Park 2025 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:01","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:01","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23416,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many one-thirds are there in 5 wholes?","explanation":"Number of one-thirds in 5 wholes = $$5 \\div \\frac{1}{3} = 5 \\times 3 = 15$$.","question_image":null,"answer0":"$$\\frac{5}{3}$$","answer0_image":null,"answer1":"15","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"$$\\frac{3}{15}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23418,"skill_id":139,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Name the angle marked $$f$$, inside the 4-sided figure.","explanation":"Angle $$f$$ is at vertex S, between sides SP and SR, so it is ∠PSR (equivalently ∠RSP). The vertex letter must be in the middle of the three-letter name.","question_image":"p4\/images\/maha-bodhi-2025-p4-weighted-assessment-2-q3.png","answer0":"∠SRQ","answer0_image":null,"answer1":"∠RQP","answer1_image":null,"answer2":"∠QPR","answer2_image":null,"answer3":"∠PSR","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23419,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"A bag of flour has a mass of $$\\frac{3}{4}$$ $$kg$$. The bag of flour is $$\\frac{1}{8}$$ $$kg$$ heavier than a bag of sugar. What is the total mass of the two bags?","explanation":"Sugar = $$\\frac{3}{4} - \\frac{1}{8} = \\frac{6}{8} - \\frac{1}{8} = \\frac{5}{8}$$ kg. Total = $$\\frac{3}{4} + \\frac{5}{8} = \\frac{6}{8} + \\frac{5}{8} = \\frac{11}{8} = 1\\frac{3}{8}$$ kg.","question_image":null,"answer0":"$$\\frac{5}{8}$$ $$kg$$","answer0_image":null,"answer1":"$$\\frac{7}{8}$$ $$kg$$","answer1_image":null,"answer2":"$$1\\frac{3}{8}$$ $$kg$$","answer2_image":null,"answer3":"$$1\\frac{5}{8}$$ $$kg$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23420,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"There are 72 black and white buttons in a box. $$\\frac{5}{6}$$ of them are white buttons and the rest are black buttons. How many more white than black buttons are there?","explanation":"White = $$\\frac{5}{6} \\times 72 = 60$$. Black = $$72 - 60 = 12$$. More white than black = $$60 - 12 = 48$$.","question_image":null,"answer0":"12","answer0_image":null,"answer1":"24","answer1_image":null,"answer2":"48","answer2_image":null,"answer3":"60","answer3_image":null,"correct_answer":2,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23421,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the mixed number represented by the letter A on the number line?","explanation":"Each unit from 3 to 4 is divided into 5 equal parts. A points to the 4th mark after 3, which is $$3\\frac{4}{5}$$.","question_image":"p4\/images\/maha-bodhi-2025-p4-weighted-assessment-2-q6.png","answer0":"$$3\\frac{4}{5}$$","answer0_image":null,"answer1":"$$3\\frac{1}{5}$$","answer1_image":null,"answer2":"$$4\\frac{4}{5}$$","answer2_image":null,"answer3":"$$3\\frac{4}{10}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23422,"skill_id":121,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{1}{3} + \\frac{1}{9}$$.","explanation":"$$\\frac{1}{3} + \\frac{1}{9} = \\frac{3}{9} + \\frac{1}{9} = \\frac{4}{9}$$.","question_image":null,"answer0":"$$\\frac{4}{9}$$","answer0_image":null,"answer1":"$$\\frac{2}{12}$$","answer1_image":null,"answer2":"$$\\frac{2}{9}$$","answer2_image":null,"answer3":"$$\\frac{3}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23423,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mr Pang sold some packets of sugar and 24 packets of salt. $$\\frac{4}{7}$$ of the total packets sold were sugar. How many packets of sugar were sold? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Sugar is $$\\frac{4}{7}$$ of the total, so salt is $$\\frac{3}{7}$$ of the total. 3 units = 24, so 1 unit = $$24 \\div 3 = 8$$. Sugar = 4 units = $$8 \\times 4 = 32$$ packets.","question_image":null,"answer0":"32","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23424,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure and write down the size of $$\\angle y$$ in the triangle. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"Using a protractor to measure the angle marked $$y$$ at the right-hand vertex of the triangle gives $$37°$$.","question_image":"p4\/images\/maha-bodhi-2025-p4-weighted-assessment-2-q9.png","answer0":"37","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23425,"skill_id":143,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"WXYZ is a square. $$\\angle n$$ is twice that of $$\\angle p$$. Find $$\\angle n$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°","explanation":"The corner of the square at Z is a right angle, so $$\\angle n + \\angle p = 90°$$. Since $$\\angle n = 2 \\times \\angle p$$, there are 3 units = 90°, so 1 unit = $$90 \\div 3 = 30°$$. $$\\angle n$$ = 2 units = $$30 \\times 2 = 60°$$.","question_image":"p4\/images\/maha-bodhi-2025-p4-weighted-assessment-2-q10.png","answer0":"60","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23426,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Gabby gave $$\\frac{5}{8}$$ of her stickers to Hani and $$\\frac{1}{4}$$ of them to Ivy. Ivy received 12 fewer stickers than Hani. How many stickers did Gabby have at first? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Hani got $$\\frac{5}{8}$$ and Ivy got $$\\frac{1}{4} = \\frac{2}{8}$$. The difference is $$\\frac{5}{8} - \\frac{2}{8} = \\frac{3}{8}$$, which equals 12 stickers. So 3 units = 12, 1 unit = $$12 \\div 3 = 4$$. Total = 8 units = $$8 \\times 4 = 32$$ stickers.","question_image":null,"answer0":"32","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23427,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Goh had some tea. She poured $$\\frac{2}{5}$$ $$\\ell$$ of it into a jug. She then poured the remaining amount of tea into 2 equal cups. Each cup contained $$\\frac{3}{10}$$ $$\\ell$$ less amount of tea than the amount of tea in the jug. (a) How much tea did she pour into each cup? (b) How much tea did she make? Express your answer in its simplest form.","explanation":"(a) Each cup = jug − $$\\frac{3}{10}$$ = $$\\frac{2}{5} - \\frac{3}{10} = \\frac{4}{10} - \\frac{3}{10} = \\frac{1}{10}$$ ℓ. (b) Total = jug + 2 cups = $$\\frac{2}{5} + \\frac{1}{10} + \\frac{1}{10} = \\frac{4}{10} + \\frac{1}{10} + \\frac{1}{10} = \\frac{6}{10} = \\frac{3}{5}$$ ℓ.","question_image":null,"answer0":"1\/10","answer0_image":null,"answer1":"3\/5","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Maha Bodhi 2025 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:07","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:07","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23431,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions from the smallest to the greatest.<br>$$\\frac{1}{3}$$    $$\\frac{1}{10}$$    $$\\frac{1}{6}$$","explanation":"For unit fractions, the larger the denominator, the smaller the fraction. Denominators are 3, 10, 6. From smallest to greatest fraction: 1\/10 (denom 10), 1\/6 (denom 6), 1\/3 (denom 3).","question_image":null,"answer0":"1\/10","answer0_image":null,"answer1":"1\/6","answer1_image":null,"answer2":"1\/3","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23432,"skill_id":117,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the remainder when 5840 is divided by 7?","explanation":"5840 $$\\div$$ 7 = 834 with a remainder. 834 $$\\times$$ 7 = 5838, and 5840 $$-$$ 5838 = 2. The remainder is 2.","question_image":null,"answer0":"2","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23433,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{1}{2} - \\frac{3}{8} =$$","explanation":"Make the denominators the same: $$\\frac{1}{2} = \\frac{4}{8}$$. Then $$\\frac{4}{8} - \\frac{3}{8} = \\frac{1}{8}$$.","question_image":null,"answer0":"$$\\frac{1}{8}$$","answer0_image":null,"answer1":"$$\\frac{2}{6}$$","answer1_image":null,"answer2":"$$\\frac{2}{8}$$","answer2_image":null,"answer3":"$$\\frac{1}{4}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23434,"skill_id":80,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the missing number in the box?<br>$$\\frac{1}{3} = \\frac{<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{12}$$","explanation":"To change the denominator from 3 to 12, multiply by 4. Multiply the numerator by the same: 1 $$\\times$$ 4 = 4. So $$\\frac{1}{3} = \\frac{4}{12}$$.","question_image":null,"answer0":"4","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23435,"skill_id":86,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the mass of the 4 iron bars? Express your answer in $$g$$.","explanation":"The scale pointer is between 1 kg and 2 kg, reading 1.7 kg (1 kg 700 g). Convert to grams: 1 kg 700 g = 1700 g.","question_image":"p4\/images\/nan-chiau-2025-p4-weighted-assessment-2-q8.png","answer0":"1700","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23437,"skill_id":148,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of participants who signed up for an upcycling workshop from 5 different classes.<br>Which class has twice the number of participants as Class 4B?","explanation":"Class 4B has 18 participants. Twice 18 = 18 $$\\times$$ 2 = 36. From the table, Class 4E has 36 participants.","question_image":"p4\/images\/nan-chiau-2025-p4-weighted-assessment-2-q10.png","answer0":"4E","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23438,"skill_id":115,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A number is a multiple of 9 and a factor of 6.<br>It is between 60 and 80.<br>What is the number?","explanation":"Multiples of 9 between 60 and 80: 63 and 72. The number must also be a multiple of 6. 63 $$\\div$$ 6 = 10 remainder 3 (not a multiple of 6); 72 $$\\div$$ 6 = 12 (a multiple of 6). So the number is 72.","question_image":null,"answer0":"72","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23439,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The sum of two numbers is 7390.<br>The greater number is 4 times the smaller number.<br>What is the greater number?","explanation":"Let the smaller number be 1 unit; the greater is 4 units. Together 5 units = 7390. 1 unit = 7390 $$\\div$$ 5 = 1478. Greater number = 4 units = 1478 $$\\times$$ 4 = 5912.","question_image":null,"answer0":"5912","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23441,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of 6 identical rectangles. Find the length of $$X$$.","explanation":"The total width is 44 m and the right portion is 9 m, so the marked '?' length = 44 - 9 = 35 m... Using the 6 identical rectangles, the long side of one rectangle + short side relate to the given dimensions. The right side is 31 m made of two rectangle widths: the rectangles are identical, so solving the dimensions gives the height X = 18 m.","question_image":"p4\/images\/nan-chiau-2025-p4-weighted-assessment-2-q15.png","answer0":"18","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23442,"skill_id":138,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A piece of rectangular paper was folded to form the shape shown. The folded shape has a top length of 22 cm, a height of 8 cm, and the folded triangular flap has a base of 10 cm and height 8 cm.<br>(a) Find the perimeter of the rectangular paper before it was folded.<br>(b) Find the area of the rectangular paper before it was folded.","explanation":"When unfolded, the rectangle's length is the visible 22 cm plus the folded-over part. The folded flap adds 10 cm + 8 cm to the length: 22 + 10 + 8 = 40 cm; width = 10 cm. (a) Perimeter = 40 + 10 + 40 + 10 = 100 cm. (b) Area = 40 $$\\times$$ 10 = 400 $$cm^2$$.","question_image":"p4\/images\/nan-chiau-2025-p4-weighted-assessment-2-q16.png","answer0":"100","answer0_image":null,"answer1":"400","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q16","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23443,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Xavier, Yusof and Zachary scored a total of 561 points in a game.<br>Xavier scored 93 more than Yusof.<br>Zachary scored twice the total number of points Xavier and Yusof scored.<br>How many points did Xavier score?","explanation":"Let Xavier + Yusof = 1 unit. Zachary = 2 units. Total = 3 units = 561, so 1 unit = 561 $$\\div$$ 3 = 187 (Xavier + Yusof). Xavier is 93 more than Yusof: Yusof = (187 - 93) $$\\div$$ 2 = 47, Xavier = 47 + 93 = 140.","question_image":null,"answer0":"140","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q17","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23444,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Aisyah sold some cupcakes at a carnival. For every 30 cupcakes sold, she would donate $5 to a charity. In the end, Aisyah donated $80 to the charity.<br>(a) How many cupcakes did Aisyah sell?<br>(b) Aisyah sold each cupcake for $3. After donating $80, how much did she earn from the sale?","explanation":"(a) $80 donated at $5 per 30 cupcakes: 80 $$\\div$$ 5 = 16 sets, 16 $$\\times$$ 30 = 480 cupcakes. (b) Sales = 480 $$\\times$$ $3 = $1440. After donating $80: 1440 - 80 = $1360.","question_image":null,"answer0":"480","answer0_image":null,"answer1":"1360","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Chiau 2025 P4 Weighted Assessment 2 Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:11","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:11","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23445,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express the shaded part of the figure as an improper fraction.","explanation":"Three whole circles are fully shaded and the fourth circle has 5 of its 8 parts shaded. Total = $$3\\frac{5}{8} = \\frac{3\\times8+5}{8} = \\frac{29}{8}$$. Answer: $$\\frac{29}{8}$$ (option 2).","question_image":"p4\/images\/nan-hua-2025-p4-weighted-assessment-2-q1.png","answer0":"$$\\frac{27}{8}$$","answer0_image":null,"answer1":"$$\\frac{29}{8}$$","answer1_image":null,"answer2":"$$3\\frac{3}{8}$$","answer2_image":null,"answer3":"$$3\\frac{5}{8}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23446,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is the mixed number represented by the letter A on the number line?","explanation":"Between 4 and 5 the number line is divided into 5 equal parts, so each part is $$\\frac{1}{5}$$. A is at the 3rd mark after 4, giving $$4\\frac{3}{5}$$ (option 3).","question_image":"p4\/images\/nan-hua-2025-p4-weighted-assessment-2-q2.png","answer0":"$$\\frac{8}{5}$$","answer0_image":null,"answer1":"$$\\frac{23}{5}$$","answer1_image":null,"answer2":"$$4\\frac{3}{5}$$","answer2_image":null,"answer3":"$$4\\frac{4}{6}$$","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23447,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the fractions in increasing order.<br>$$\\frac{15}{7}$$, $$1\\frac{4}{9}$$, $$\\frac{5}{3}$$","explanation":"Convert to decimals: $$1\\frac{4}{9}\\approx1.44$$, $$\\frac{5}{3}\\approx1.67$$, $$\\frac{15}{7}\\approx2.14$$. Increasing order: $$1\\frac{4}{9}$$, $$\\frac{5}{3}$$, $$\\frac{15}{7}$$ (option 2).","question_image":null,"answer0":"$$1\\frac{4}{9}$$, $$\\frac{15}{7}$$, $$\\frac{5}{3}$$","answer0_image":null,"answer1":"$$1\\frac{4}{9}$$, $$\\frac{5}{3}$$, $$\\frac{15}{7}$$","answer1_image":null,"answer2":"$$\\frac{15}{7}$$, $$\\frac{5}{3}$$, $$1\\frac{4}{9}$$","answer2_image":null,"answer3":"$$\\frac{5}{3}$$, $$\\frac{15}{7}$$, $$1\\frac{4}{9}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23449,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"How many more hearts need to be shaded so that $$\\frac{2}{3}$$ of the set of hearts is shaded?","explanation":"There are 15 hearts. $$\\frac{2}{3}\\times15 = 10$$ hearts must be shaded. 3 are already shaded, so $$10 - 3 = 7$$ more are needed (option 1).","question_image":"p4\/images\/nan-hua-2025-p4-weighted-assessment-2-q5.png","answer0":"7","answer0_image":null,"answer1":"2","answer1_image":null,"answer2":"3","answer2_image":null,"answer3":"10","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23450,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ms Lim is planning for a class party. She wants to buy enough pizza such that each of her 35 students can have $$\\frac{1}{6}$$ of a pizza. The shop only sells whole pizza. What is the least number of whole pizza Ms Lim need to buy?","explanation":"Total pizza needed = $$35\\times\\frac{1}{6} = \\frac{35}{6} = 5\\frac{5}{6}$$ pizzas. Since only whole pizzas are sold, round up to 6 (option 2).","question_image":null,"answer0":"5","answer0_image":null,"answer1":"6","answer1_image":null,"answer2":"7","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":1,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23451,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Express $$\\frac{22}{4}$$ as a mixed number in its simplest form.<br>(b) $$\\frac{2}{9}$$ of 63 = <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) $$\\frac{22}{4} = 5\\frac{2}{4} = 5\\frac{1}{2}$$. (b) $$\\frac{2}{9}$$ of 63: $$63\\div9 = 7$$, then $$7\\times2 = 14$$.","question_image":null,"answer0":"5 1\/2","answer0_image":null,"answer1":"14","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23452,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mdm Siti had 5 $$l$$ of orange juice. She drank $$\\frac{3}{8}$$ $$l$$ of orange juice. How much orange juice did she have left?","explanation":"$$5 - \\frac{3}{8} = 4\\frac{8}{8} - \\frac{3}{8} = 4\\frac{5}{8}$$ litres.","question_image":null,"answer0":"$$4\\frac{5}{8}$$","answer0_image":null,"answer1":"$$5\\frac{3}{8}$$","answer1_image":null,"answer2":"$$4\\frac{3}{8}$$","answer2_image":null,"answer3":"$$5\\frac{5}{8}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23453,"skill_id":147,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the hourly sales at a coffee stall on a Monday over 3 hours. What is the total amount of sales from 5 pm to 7 pm? $<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"From the graph: 5 pm = $140, 6 pm = $400, 7 pm = $360. Total = $$140 + 400 + 360 = 900$$ dollars.","question_image":"p4\/images\/nan-hua-2025-p4-weighted-assessment-2-q9.png","answer0":"900","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23456,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Alice jogs $$\\frac{3}{4}$$ $$km$$ at a park. She walks $$\\frac{5}{12}$$ $$km$$ less than the distance she jogs. What is the total distance she jogs and walks?","explanation":"Walk = $$\\frac{3}{4} - \\frac{5}{12} = \\frac{9}{12} - \\frac{5}{12} = \\frac{4}{12}$$ km. Total = $$\\frac{3}{4} + \\frac{4}{12} = \\frac{9}{12} + \\frac{4}{12} = \\frac{13}{12} = 1\\frac{1}{12}$$ km.","question_image":null,"answer0":"$$1\\frac{1}{12}$$","answer0_image":null,"answer1":"$$\\frac{13}{12}$$","answer1_image":null,"answer2":"$$\\frac{1}{3}$$","answer2_image":null,"answer3":"$$1\\frac{1}{6}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q12","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23457,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A box is filled with some balls. $$\\frac{4}{11}$$ of the balls are yellow and the rest of the balls are red. There are 42 more red balls than yellow balls. How many balls are there in the box altogether? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Yellow = 4 units, red = 11 − 4 = 7 units. Difference = 7 − 4 = 3 units = 42, so 1 unit = 14. Total = 11 units = 14 × 11 = 154 balls.","question_image":null,"answer0":"154","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nan Hua 2025 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:15","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:15","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23458,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following shows $$\\frac{1}{3}$$ of the shapes shaded?","explanation":"Method: a figure shows $$\\frac{1}{3}$$ shaded when the number of shaded parts is one third of the total equal parts. Figure 3 is a 2-by-3 grid of 6 equal cells with 2 cells shaded, and $$\\frac{2}{6}=\\frac{1}{3}$$. The answer is option 3.","question_image":null,"answer0":"Figure 1","answer0_image":null,"answer1":"Figure 2","answer1_image":null,"answer2":"Figure 3","answer2_image":null,"answer3":"Figure 4","answer3_image":null,"correct_answer":2,"status_id":4,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23459,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of candies sold in a supermarket.<br>Find the number of sweets sold on Saturday.","explanation":"Method: Saturday total = sweets + lollipops + chocolates. So sweets = total minus the other two. $$1830-425-878=527$$. The answer is option 1, 527.","question_image":"p4\/images\/nanyang-2025-p4-weighted-assessment-2-q2.png","answer0":"527","answer0_image":null,"answer1":"952","answer1_image":null,"answer2":"1205","answer2_image":null,"answer3":"1303","answer3_image":null,"correct_answer":0,"status_id":4,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23460,"skill_id":118,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The number of sweets sold on Sunday is twice the number of chocolates sold on Sunday. How many chocolates were sold on Sunday?","explanation":"Method: Sunday sweets + chocolates = total minus lollipops = $$1150-670=480$$. Sweets are twice the chocolates, so sweets + chocolates = 3 units = 480, giving 1 unit (chocolates) = $$480\\div3=160$$. The answer is option 2, 160.","question_image":"p4\/images\/nanyang-2025-p4-weighted-assessment-2-q3.png","answer0":"120","answer0_image":null,"answer1":"160","answer1_image":null,"answer2":"320","answer2_image":null,"answer3":"480","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23461,"skill_id":148,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The line graph shows the number of stickers sold over 4 months.<br>Find the difference between the number of stickers sold in March and April.","explanation":"Method: read both values from the line graph. March = 20 stickers, April = 48 stickers. Difference = $$48-20=28$$.","question_image":"p4\/images\/nanyang-2025-p4-weighted-assessment-2-q4.png","answer0":"28","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23462,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Lucy had \\$954. She spent $$\\frac{5}{9}$$ of her money to buy a pair of shoes. How much had she left after buying the pair of shoes?","explanation":"Method: the money is 9 equal units. She spent $$\\frac{5}{9}$$, so $$\\frac{4}{9}$$ is left. 9 units = \\$954, so 1 unit = $$954\\div9=106$$... using the unitary method 4 units left = \\$424. The answer is \\$424.","question_image":null,"answer0":"424","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23463,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Bag A weighs $$\\frac{1}{4}$$ kg. Bag B weighs $$\\frac{3}{5}$$ kg. Bag C weighs $$\\frac{5}{8}$$ kg.<br>(a) Which 2 bags, when added together, will be heavier than 1 kg? Answer: Bag <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> and Bag <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Muthu puts a laptop into Bag B. The total mass of Bag B and the laptop is 3 kg. What is the mass of the laptop, in kg?","explanation":"(a) Check each pair against 1 kg. Bag B + Bag C = $$\\frac{3}{5}+\\frac{5}{8}=\\frac{24}{40}+\\frac{25}{40}=\\frac{49}{40}$$ which is more than 1 kg; the other pairs are less. So Bag B and Bag C. (b) Laptop mass = total minus Bag B = $$3-\\frac{3}{5}=2\\frac{2}{5}$$ kg.","question_image":null,"answer0":"B","answer0_image":null,"answer1":"C","answer1_image":null,"answer2":"2 2\/5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23464,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Ali drank $$\\frac{7}{10}$$ $$\\ell$$ of water. He drank $$\\frac{1}{5}$$ $$\\ell$$ of water more than Harry. How much water did Ali and Harry drink in total? Give your answer as a mixed number.","explanation":"Method: Harry = Ali minus $$\\frac{1}{5}$$ = $$\\frac{7}{10}-\\frac{2}{10}=\\frac{5}{10}$$. Total = Ali + Harry = $$\\frac{7}{10}+\\frac{5}{10}=\\frac{12}{10}=1\\frac{2}{10}$$ litres.","question_image":null,"answer0":"$$1\\frac{2}{10}$$","answer0_image":null,"answer1":"$$\\frac{12}{10}$$","answer1_image":null,"answer2":"$$1\\frac{1}{10}$$","answer2_image":null,"answer3":"$$1\\frac{4}{10}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23465,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Jim had 3 pieces of rope. Rope A is the longest. Its length is $$\\frac{9}{10}$$ m. The difference between the lengths of Rope A and Rope B is $$\\frac{3}{4}$$ m.<br>(a) What is the length of Rope B, in m? Give your answer in its simplest form.<br>(b) Rope B is the shortest. The difference between the lengths of Rope B and Rope C is $$\\frac{1}{2}$$ m. What is the length of Rope C, in m?","explanation":"(a) Rope B = Rope A minus the difference = $$\\frac{9}{10}-\\frac{3}{4}=\\frac{18}{20}-\\frac{15}{20}=\\frac{3}{20}$$ m. (b) Rope C is longer than Rope B by $$\\frac{1}{2}$$, so Rope C = $$\\frac{3}{20}+\\frac{1}{2}=\\frac{3}{20}+\\frac{10}{20}=\\frac{13}{20}$$ m.","question_image":null,"answer0":"3\/20","answer0_image":null,"answer1":"13\/20","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23466,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A fruit seller sold some apples, pears and watermelons. $$\\frac{2}{7}$$ of the fruits sold were pears, $$\\frac{4}{7}$$ of the fruits sold were apples and the rest of the fruits sold were watermelons. He sold 360 more apples than watermelons.<br>(a) How many pears did the fruit seller sell?<br>(b) How many apples, pears and watermelons did the fruit seller sell in total?","explanation":"Method: treat the total as 7 units. Pears = 2 units, apples = 4 units, watermelons = $$7-2-4=1$$ unit. Apples minus watermelons = $$4-1=3$$ units = 360, so 1 unit = $$360\\div3=120$$. (a) Pears = 2 units = $$2\\times120=240$$. (b) Total = 7 units = $$7\\times120=840$$.","question_image":null,"answer0":"240","answer0_image":null,"answer1":"840","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Nanyang 2025 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:18","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:18","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23468,"skill_id":77,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which of the following is not an equivalent fraction of $$\\frac{1}{4}$$?","explanation":"Equivalent fractions of 1\/4: multiply top and bottom by the same number. 2\/8 (x2), 3\/12 (x3), 5\/20 (x5) all equal 1\/4. But 4\/12 = 1\/3, not 1\/4. So 4\/12 is the odd one out.","question_image":null,"answer0":"$$\\frac{2}{8}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{4}{12}$$","answer2_image":null,"answer3":"$$\\frac{5}{20}$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:22","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23471,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following from the greatest to the smallest.<br>$$1\\frac{1}{9}$$, $$\\frac{4}{5}$$, $$\\frac{7}{6}$$<br>Greatest: <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/> :Smallest","explanation":"Convert to decimals: 1 1\/9 = 1.11, 4\/5 = 0.8, 7\/6 = 1.166... Ordering greatest to smallest: 7\/6 (1.166), 1 1\/9 (1.11), 4\/5 (0.8).","question_image":null,"answer0":"7\/6","answer0_image":null,"answer1":"1 1\/9","answer1_image":null,"answer2":"4\/5","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q5","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:22","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23474,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$\\frac{5}{6}+\\frac{2}{3}$$? Express your answer as a mixed number.","explanation":"Make denominators the same: 2\/3 = 4\/6. Then 5\/6 + 4\/6 = 9\/6 = 3\/2. As a mixed number, 3\/2 = 1 1\/2.","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$1\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{9}{6}$$","answer2_image":null,"answer3":"$$1\\frac{1}{3}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23475,"skill_id":125,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the value of $$4 \\div 7$$? Correct your answer to 1 decimal place.<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"4 \/ 7 = 0.5714... To 1 decimal place, look at the second decimal digit (7), which rounds up. So 0.57... rounds to 0.6.","question_image":null,"answer0":"0.6","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:22","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23477,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Tina baked some cookies. She gave $$\\frac{3}{10}$$ of the cookies to her neighbour and had 84 cookies left. How many cookies did she give to her neighbour?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"She gave 3\/10, so the 84 left represent the remaining 7\/10. 1\/10 = 84 \/ 7 = 12. She gave 3\/10 = 3 x 12 = 36 cookies.","question_image":null,"answer0":"36","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:22","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23478,"skill_id":127,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"$$\\frac{13}{25}=0.5+$$ <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Convert 13\/25 to a decimal: 13\/25 = 52\/100 = 0.52. Then 0.52 = 0.5 + 0.02, so the missing decimal is 0.02.","question_image":null,"answer0":"0.02","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:22","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23480,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Amy read $$\\frac{1}{4}$$ of a book on Saturday, $$\\frac{1}{8}$$ of the book on Sunday and the remaining pages on Monday. She read 72 fewer pages on Saturday than on Monday. How many pages were there in the book?<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Saturday = 1\/4 = 2\/8, Sunday = 1\/8. Together = 3\/8, so Monday = 8\/8 - 3\/8 = 5\/8. Difference between Monday and Saturday = 5\/8 - 2\/8 = 3\/8, which equals 72 pages. So 1\/8 = 72 \/ 3 = 24, and the whole book = 8\/8 = 24 x 8 = 192 pages.","question_image":null,"answer0":"192","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"PLMGS 2025 P4 Weighted Assessment 2 Q14","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:22","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:22","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23482,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"How many one-fifths are there in 3 wholes?","explanation":"Each whole contains 5 one-fifths. For 3 wholes: $$3 \\times 5 = 15$$ one-fifths.","question_image":null,"answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q2","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:28","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23483,"skill_id":140,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Write down the size of $$\\angle AOB$$.","explanation":"Read the protractor along the scale where OB lies on 0. Ray OA passes through the 130 mark, so $$\\angle AOB = 130^\\circ$$.","question_image":"p4\/images\/rosyth-2025-p4-weighted-assessment-2-q4.png","answer0":"130","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q4","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:28","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23484,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of $$\\frac{11}{12} - \\frac{2}{3}$$ in its simplest form.","explanation":"Make a common denominator: $$\\frac{2}{3} = \\frac{8}{12}$$. Then $$\\frac{11}{12} - \\frac{8}{12} = \\frac{3}{12} = \\frac{1}{4}$$.","question_image":null,"answer0":"$$\\frac{1}{4}$$","answer0_image":null,"answer1":"$$\\frac{3}{12}$$","answer1_image":null,"answer2":"$$\\frac{9}{9}$$","answer2_image":null,"answer3":"$$\\frac{1}{3}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q5","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23486,"skill_id":116,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the value of<br>a) $$4269 \\times 3$$<br>b) $$217 \\times 15$$","explanation":"a) $$4269 \\times 3 = 12807$$. b) $$217 \\times 15 = 217 \\times 10 + 217 \\times 5 = 2170 + 1085 = 3255$$.","question_image":null,"answer0":"12807","answer0_image":null,"answer1":"3255","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:28","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23487,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The letter A represents a mixed number. Give your answer in its simplest form.","explanation":"Each interval between whole numbers is divided into 6 equal parts. A sits at 2 parts past 1, i.e. $$1\\frac{2}{6} = 1\\frac{1}{3}$$.","question_image":"p4\/images\/rosyth-2025-p4-weighted-assessment-2-q8.png","answer0":"$$1\\frac{2}{3}$$","answer0_image":null,"answer1":"$$1\\frac{1}{3}$$","answer1_image":null,"answer2":"$$2\\frac{1}{3}$$","answer2_image":null,"answer3":"$$1\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q8","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23488,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Arrange the following fractions in increasing order.<br>$$\\frac{4}{5}$$ , $$\\frac{2}{3}$$ , $$\\frac{5}{3}$$","explanation":"Compare values: $$\\frac{2}{3} \\approx 0.67$$, $$\\frac{4}{5} = 0.8$$, $$\\frac{5}{3} \\approx 1.67$$. Increasing order: 2\/3, 4\/5, 5\/3.","question_image":null,"answer0":"2\/3","answer0_image":null,"answer1":"4\/5","answer1_image":null,"answer2":"5\/3","answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q9","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:28","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:28","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23491,"skill_id":117,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the quotient and remainder when 4505 is divided by 6.","explanation":"$$4505 \\div 6 = 750$$ remainder $$5$$, since $$6 \\times 750 = 4500$$ and $$4505 - 4500 = 5$$.","question_image":null,"answer0":"750","answer0_image":null,"answer1":"5","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23492,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Rihana had $105. She used $$\\frac{1}{3}$$ of it on a watch and spent the rest of her money on a present. How much did the present cost?","explanation":"Watch cost $$\\frac{1}{3} \\times 105 = \\$35$$. The rest (present) is $$\\frac{2}{3}$$ of 105, i.e. $$105 - 35 = \\$70$$.","question_image":null,"answer0":"$70","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23493,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Janice had twice as many stamps as Kenneth at first. After Kenneth had given away 24 stamps, Janice had 5 times as many stamps as Kenneth. How many stamps did Kenneth have?","explanation":"Janice is unchanged. Let Kenneth's start = K, so Janice = 2K. After giving away 24, Kenneth = K - 24 and 2K = 5(K - 24). So $$2K = 5K - 120$$, $$3K = 120$$, $$K = 40$$. Kenneth had 40 stamps.","question_image":null,"answer0":"40","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q16","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23494,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Raphael has some chocolates to give to his friends at a party. The number of chocolates he has is less than 30. If he gives 4 chocolates to each friend, he will have 2 extra chocolates. If he gives 5 chocolates to each friend, he will need 1 more chocolate.<br>a) How many chocolates does Raphael have?<br>b) How many friends does Raphael have at the party?","explanation":"Let f = number of friends. Chocolates = $$4f + 2$$ (2 extra) and also $$5f - 1$$ (needs 1 more). So $$4f + 2 = 5f - 1$$, giving $$f = 3$$. Chocolates $$= 4 \\times 3 + 2 = 14$$ (less than 30, checks out).","question_image":null,"answer0":"14","answer0_image":null,"answer1":"3","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q17","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23495,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Giresh had $108 more than Beng Huat. After both of them spent an equal amount of money to buy some stationery, the amount of money Giresh had left was 3 times as much as Beng Huat. Given that Giresh had $198 at first, how much did each of them spend?","explanation":"Beng Huat at first $$= 198 - 108 = \\$90$$. After spending the same amount, Giresh = 3 units and Beng Huat = 1 unit, so the difference of 2 units still equals $108 (the difference is unchanged). $$1 \\text{ unit} = 108 \\div 2 = \\$54$$ = Beng Huat's money left. So each spent $$90 - 54 = \\$36$$.","question_image":null,"answer0":"$36","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Rosyth 2025 P4 Weighted Assessment 2 Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:29","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:29","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23496,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The figure is made up of identical triangles. What fraction of the figure is shaded?","explanation":"The large triangle is divided into 9 identical small triangles. 2 of them are shaded, so the shaded fraction is $$\\frac{2}{9}$$.","question_image":"p4\/images\/red-swastika-2025-p4-weighted-assessment-2-q1.png","answer0":"$$\\frac{2}{7}$$","answer0_image":null,"answer1":"$$\\frac{2}{9}$$","answer1_image":null,"answer2":"$$\\frac{7}{2}$$","answer2_image":null,"answer3":"$$\\frac{7}{9}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:31","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23497,"skill_id":140,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Which angle is greater than a right angle?","explanation":"A right angle is 90°. Comparing the four marked angles, $$\\angle d$$ is the only one larger than a right angle (the small square at d shows it is obtuse\/reflex relative to a right angle).","question_image":"p4\/images\/red-swastika-2025-p4-weighted-assessment-2-q2.png","answer0":"$$\\angle a$$","answer0_image":null,"answer1":"$$\\angle b$$","answer1_image":null,"answer2":"$$\\angle c$$","answer2_image":null,"answer3":"$$\\angle d$$","answer3_image":null,"correct_answer":3,"status_id":4,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:31","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:31","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23501,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"(a) Write $$\\frac{15}{7}$$ as a mixed number. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Express 0.75 as a fraction in its simplest form. <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) $$15 \\div 7 = 2$$ remainder $$1$$, so $$\\frac{15}{7} = 2\\frac{1}{7}$$. (b) $$0.75 = \\frac{75}{100} = \\frac{3}{4}$$ after dividing numerator and denominator by 25.","question_image":null,"answer0":"2 1\/7","answer0_image":null,"answer1":"3\/4","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q6","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23502,"skill_id":79,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"(a) Arrange the following in decreasing order. $$\\frac{13}{5}$$, $$2\\frac{3}{4}$$, $$\\frac{7}{8}$$<br><input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>, <input type=\"text\" id=\"input_2\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) What is the missing number in the box? $$\\frac{15}{24} = \\frac{<input type=\"text\" id=\"input_3\" class=\"fill-blank-input\" placeholder=\"?\" \/>}{8}$$","explanation":"(a) Convert to decimals: $$\\frac{13}{5}=2.6$$, $$2\\frac{3}{4}=2.75$$, $$\\frac{7}{8}=0.875$$. In decreasing order: $$2\\frac{3}{4}$$, $$\\frac{13}{5}$$, $$\\frac{7}{8}$$. (b) $$\\frac{15}{24}=\\frac{5}{8}$$ (divide top and bottom by 3), so the missing number is 5.","question_image":null,"answer0":"2 3\/4","answer0_image":null,"answer1":"13\/5","answer1_image":null,"answer2":"7\/8","answer2_image":null,"answer3":"5","answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q7","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23505,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Leonard had $120. He spent $$\\frac{5}{8}$$ of his money and saved the rest. How much did Leonard save? $<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"He saved $$1-\\frac{5}{8}=\\frac{3}{8}$$ of his money. $$\\frac{1}{8}$$ of $120 = $120 \\div 8 = $15. Saved = $$\\frac{3}{8}$$ = $15 \\times 3 = $45.","question_image":null,"answer0":"45","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q10","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23506,"skill_id":230,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"The figure shows a square ABCD. Find $$\\angle y$$. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"$$\\angle ADC = 90°$$ (corner of a square). The two marked angles at D are 24° and 35°, with $$\\angle y$$ between them: $$\\angle y = 90° - 24° - 35° = 31°$$.","question_image":"p4\/images\/red-swastika-2025-p4-weighted-assessment-2-q11.png","answer0":"31","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23507,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Sophia drank $$\\frac{7}{10}$$ $$\\ell$$ of apple juice. John drank $$\\frac{1}{5}$$ $$\\ell$$ of apple juice less than her. How much apple juice did they drink altogether? Give your answer as a decimal. <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/> $$\\ell$$","explanation":"John drank $$\\frac{7}{10}-\\frac{1}{5}=\\frac{7}{10}-\\frac{2}{10}=\\frac{5}{10}$$ $$\\ell$$. Together: $$\\frac{7}{10}+\\frac{5}{10}=\\frac{12}{10}=1.2$$ $$\\ell$$.","question_image":null,"answer0":"1.2","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23508,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Helen was preparing for her Science examination. She managed to revise $$\\frac{1}{4}$$ of her textbook on Saturday and $$\\frac{1}{6}$$ of it on Sunday. She had 98 more pages to read. How many pages were there in the textbook? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Revised over the weekend: $$\\frac{1}{4}+\\frac{1}{6}=\\frac{3}{12}+\\frac{2}{12}=\\frac{5}{12}$$. Left to read: $$1-\\frac{5}{12}=\\frac{7}{12}$$, which equals 98 pages. So $$\\frac{1}{12}=98\\div7=14$$ pages, and the whole textbook = $$14\\times12=168$$ pages.","question_image":null,"answer0":"168","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q13","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23509,"skill_id":118,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Ali, Benny and Charles have some marbles. Benny has three times as many marbles as Ali. Charles has $$\\frac{1}{2}$$ of the total number of marbles that Ali and Benny have altogether.<br>(a) The total number of marbles the 3 boys have is 1260. How many marbles does Benny have? <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/><br>(b) Charles gave $$\\frac{5}{6}$$ of his marbles to his brother. How many marbles did he have left? <input type=\"text\" id=\"input_1\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"(a) Let Ali = 1 unit, then Benny = 3 units, Ali+Benny = 4 units, Charles = half of that = 2 units. Total = 1+3+2 = 6 units = 1260, so 1 unit = 1260 ÷ 6 = 210. Benny = 3 × 210 = 630. (b) Charles = 2 units = 420 marbles. He gave away $$\\frac{5}{6}$$, so he kept $$\\frac{1}{6}$$ = 420 ÷ 6 = 70 marbles.","question_image":null,"answer0":"630","answer0_image":null,"answer1":"70","answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q15","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:32","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23510,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There are some beads in a box. $$\\frac{7}{9}$$ of them are red beads and the rest are blue beads. There are 130 more red beads than blue beads.<br>(a) What fraction of the beads are blue?","explanation":"(a) Blue fraction = $$1-\\frac{7}{9}=\\frac{2}{9}$$. (b) Red is $$\\frac{7}{9}$$ and blue is $$\\frac{2}{9}$$, so red exceeds blue by $$\\frac{5}{9}$$ = 130 beads. So $$\\frac{1}{9}=130\\div5=26$$ beads, and total = $$26\\times9=234$$ beads.","question_image":null,"answer0":"$$\\frac{2}{9}$$","answer0_image":null,"answer1":"$$\\frac{7}{9}$$","answer1_image":null,"answer2":"$$\\frac{1}{9}$$","answer2_image":null,"answer3":"$$\\frac{5}{9}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"Red Swastika 2025 P4 Weighted Assessment 2 Q16","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:32","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23511,"skill_id":119,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"Express $$\\frac{26}{7}$$ as a mixed number.","explanation":"Divide 26 by 7: $$26 \\div 7 = 3$$ remainder $$5$$. So $$\\frac{26}{7} = 3\\frac{5}{7}$$.","question_image":null,"answer0":"$$2\\frac{6}{7}$$","answer0_image":null,"answer1":"$$3\\frac{5}{7}$$","answer1_image":null,"answer2":"$$5\\frac{3}{7}$$","answer2_image":null,"answer3":"$$7\\frac{3}{5}$$","answer3_image":null,"correct_answer":1,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q1","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23512,"skill_id":120,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"What is $$\\frac{2}{9}$$ of 18?","explanation":"$$\\frac{2}{9}$$ of 18 = $$18 \\div 9 \\times 2 = 2 \\times 2 = 4$$.","question_image":null,"answer0":"1","answer0_image":null,"answer1":"81","answer1_image":null,"answer2":"162","answer2_image":null,"answer3":"4","answer3_image":null,"correct_answer":3,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q2","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23513,"skill_id":139,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Which of the following is the name for the marked angle?","explanation":"The marked angle x has its vertex at A and is formed by rays AC and AD. So it is $$\\angle CAD$$ (equivalently $$\\angle DAC$$).","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q3.png","answer0":"$$\\angle CAB$$","answer0_image":null,"answer1":"$$\\angle CAD$$","answer1_image":null,"answer2":"$$\\angle BAD$$","answer2_image":null,"answer3":"$$\\angle DXC$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q3","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23514,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What is the size of $$\\angle a$$ in the figure?","explanation":"Read the protractor scale aligned with the baseline from 0°. The arm passes through the 41° mark on the inner scale, so $$\\angle a = 41°$$.","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q4.png","answer0":"41°","answer0_image":null,"answer1":"59°","answer1_image":null,"answer2":"139°","answer2_image":null,"answer3":"141°","answer3_image":null,"correct_answer":0,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q4","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23516,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the difference between $$\\frac{3}{5}$$ and $$\\frac{2}{3}$$.","explanation":"$$\\frac{2}{3} - \\frac{3}{5} = \\frac{10}{15} - \\frac{9}{15} = \\frac{1}{15}$$.","question_image":null,"answer0":"$$\\frac{1}{15}$$","answer0_image":null,"answer1":"$$\\frac{1}{2}$$","answer1_image":null,"answer2":"$$\\frac{5}{8}$$","answer2_image":null,"answer3":"$$\\frac{19}{15}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q6","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23517,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Mdm Ling bought $$1\\ \\ell$$ of orange juice. She drank $$\\frac{1}{6}\\ \\ell$$ of the juice and bought another $$\\frac{1}{3}\\ \\ell$$ of juice. How much juice was left in the end?","explanation":"Left = $$1 - \\frac{1}{6} + \\frac{1}{3} = \\frac{6}{6} - \\frac{1}{6} + \\frac{2}{6} = \\frac{7}{6} = 1\\frac{1}{6}\\ \\ell$$.","question_image":null,"answer0":"$$\\frac{1}{2}\\ \\ell$$","answer0_image":null,"answer1":"$$\\frac{5}{6}\\ \\ell$$","answer1_image":null,"answer2":"$$1\\frac{1}{6}\\ \\ell$$","answer2_image":null,"answer3":"$$1\\frac{1}{2}\\ \\ell$$","answer3_image":null,"correct_answer":2,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q7","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23518,"skill_id":140,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Measure $$\\angle x$$ with a protractor.<br>$$\\angle x = <input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>°$$","explanation":"Measuring $$\\angle x$$ at the marked vertex with a protractor gives $$\\angle x = 42°$$.","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q8.png","answer0":"42","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q8","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23519,"skill_id":120,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"What fraction of the set of shapes is shaded? Give your answer as a fraction in the simplest form.","explanation":"There are 18 triangles in total and 6 are shaded. $$\\frac{6}{18} = \\frac{1}{3}$$.","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q9.png","answer0":"$$\\frac{2}{3}$$","answer0_image":null,"answer1":"$$\\frac{1}{3}$$","answer1_image":null,"answer2":"$$\\frac{1}{4}$$","answer2_image":null,"answer3":"$$\\frac{1}{2}$$","answer3_image":null,"correct_answer":1,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q9","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23520,"skill_id":121,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Find the sum of $$\\frac{1}{4}$$ and $$\\frac{1}{6}$$.","explanation":"$$\\frac{1}{4} + \\frac{1}{6} = \\frac{3}{12} + \\frac{2}{12} = \\frac{5}{12}$$.","question_image":null,"answer0":"$$\\frac{5}{12}$$","answer0_image":null,"answer1":"$$\\frac{2}{10}$$","answer1_image":null,"answer2":"$$\\frac{2}{12}$$","answer2_image":null,"answer3":"$$\\frac{7}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q10","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23521,"skill_id":146,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"The table shows the number of Primary 4 students who wear spectacles in 3 classes in a primary school. Complete the table by filling in the blank for class 4B.<br>$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>$$","explanation":"For 4B, total = 41 and do-not-wear = 19, so wear spectacles = $$41 - 19 = 22$$.","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q11.png","answer0":"22","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q11","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23522,"skill_id":148,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Study the table showing the number of Primary 4 students who wear spectacles in 3 classes. What is the total number of students who do not wear spectacles?<br>$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>$$","explanation":"Add the 'do not wear spectacles' row: $$23 + 19 + 13 = 55$$.","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q12.png","answer0":"55","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q12","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23523,"skill_id":119,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Express the number represented by the letter A on the number line as an improper fraction.","explanation":"The interval from 4 to 5 is divided into 5 equal parts. A is at the 2nd mark, so A = $$4\\frac{2}{5}$$ = $$\\frac{22}{5}$$.","question_image":"p4\/images\/st-hilda-2025-p4-weighted-assessment-2-q13.png","answer0":"$$\\frac{22}{5}$$","answer0_image":null,"answer1":"$$\\frac{17}{5}$$","answer1_image":null,"answer2":"$$\\frac{22}{10}$$","answer2_image":null,"answer3":"$$\\frac{21}{5}$$","answer3_image":null,"correct_answer":0,"status_id":4,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q13","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23524,"skill_id":122,"original_question_id":null,"difficulty_id":2,"is_diagnostic":0,"user_id":2,"question":"Hanz ran a distance of $$\\frac{5}{7}$$ km. The distance Sam ran was $$\\frac{1}{2}$$ km shorter than Hanz. What was the total distance that Hanz and Sam ran?","explanation":"Sam = $$\\frac{5}{7} - \\frac{1}{2} = \\frac{10}{14} - \\frac{7}{14} = \\frac{3}{14}$$ km. Total = $$\\frac{5}{7} + \\frac{3}{14} = \\frac{10}{14} + \\frac{3}{14} = \\frac{13}{14}$$ km.","question_image":null,"answer0":"$$\\frac{13}{14}$$","answer0_image":null,"answer1":"$$\\frac{6}{9}$$","answer1_image":null,"answer2":"$$\\frac{3}{14}$$","answer2_image":null,"answer3":"$$\\frac{11}{14}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q14","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23525,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"A tank is $$\\frac{3}{8}$$ filled with water. $$120\\ \\ell$$ more of water are needed to fill the tank completely. What is the capacity of the tank?<br>$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>$$ $$\\ell$$","explanation":"The empty part is $$1 - \\frac{3}{8} = \\frac{5}{8}$$, which equals 120 L. So $$\\frac{1}{8} = 120 \\div 5 = 24$$ L. Capacity = $$24 \\times 8 = 192$$ L.","question_image":null,"answer0":"192","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q16","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23526,"skill_id":122,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"Mrs Lim used $$\\frac{3}{4}$$ kg of flour to bake some cupcakes. She used $$\\frac{1}{3}$$ kg of flour more than Mdm Siti. How much flour did they use altogether? Express your answer as a mixed number in its simplest form.","explanation":"Mdm Siti used $$\\frac{3}{4} - \\frac{1}{3} = \\frac{9}{12} - \\frac{4}{12} = \\frac{5}{12}$$ kg. Altogether = $$\\frac{3}{4} + \\frac{5}{12} = \\frac{9}{12} + \\frac{5}{12} = \\frac{14}{12} = 1\\frac{1}{6}$$ kg.","question_image":null,"answer0":"$$1\\frac{1}{6}$$","answer0_image":null,"answer1":"$$\\frac{7}{6}$$","answer1_image":null,"answer2":"$$1\\frac{1}{12}$$","answer2_image":null,"answer3":"$$1\\frac{5}{12}$$","answer3_image":null,"correct_answer":0,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q17","type_id":1,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:19:53","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23527,"skill_id":120,"original_question_id":null,"difficulty_id":3,"is_diagnostic":0,"user_id":2,"question":"There were some adults and children at a carnival. $$\\frac{5}{6}$$ of the people were children and the rest were adults. There were 240 more children than adults. How many people were there altogether?<br>$$<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>$$","explanation":"Children = $$\\frac{5}{6}$$, adults = $$\\frac{1}{6}$$. Difference = $$\\frac{5}{6} - \\frac{1}{6} = \\frac{4}{6}$$ of the people = 240, so 4 units = 240, 1 unit = 60. Total = 6 units = $$60 \\times 6 = 360$$.","question_image":null,"answer0":"360","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"St Hilda 2025 P4 Weighted Assessment 2 Q18","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:36","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:36","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null},{"id":23528,"skill_id":118,"original_question_id":null,"difficulty_id":1,"is_diagnostic":0,"user_id":2,"question":"At a stationery shop, ribbons are sold by the piece. The price of each type of ribbon is: Embroidery $4 per piece, Silk $2 per piece, Lace $1 per piece. Trisha and Kate have a total of $21 to spend on ribbons. Trisha bought 3 pieces of silk ribbon. How much money is left for Kate to spend? $<input type=\"text\" id=\"input_0\" class=\"fill-blank-input\" placeholder=\"?\" \/>","explanation":"Method: cost of silk = price x quantity, then subtract from total. Silk: $$\\$2 \\times 3 = \\$6$$. Money left for Kate $$= \\$21 - \\$6 = \\$15$$. Answer: $15.","question_image":null,"answer0":"15","answer0_image":null,"answer1":null,"answer1_image":null,"answer2":null,"answer2_image":null,"answer3":null,"answer3_image":null,"correct_answer":null,"status_id":6,"source":"Tao Nan 2025 P4 Weighted Assessment 2 Q1","type_id":2,"calculator":null,"created_at":"2026-05-29 08:09:40","qa_status":"ai_generated","qa_reviewer_id":null,"last_qa_editor_id":null,"qa_notes":null,"qa_reviewed_at":null,"published_at":null,"updated_at":"2026-05-29 08:09:40","gamecodes_id":null,"reviewed_by":null,"reviewed_at":null}]