[ { "id": 17113, "skill_id": 118, "original_question_id": null, "difficulty_id": 3, "is_diagnostic": 0, "user_id": 2, "question": "At the school bookshop: Stapler \\(\\$5\\), Scissors \\(\\$8\\), Ruler \\(\\$3\\). Bess spent a total of \\(\\$31\\) at the school book shop. She bought 3 identical [?] and 2 identical [?].", "explanation": "3 staplers cost 3 × \\(\\$5\\) = \\(\\$15\\) and 2 scissors cost 2 × \\(\\$8\\) = \\(\\$16.\\) \\(\\$15\\) + \\(\\$16\\) = \\(\\$31.\\)", "question_image": "p4/images/nan-hua-2023-p4-end-of-year-exam-q39.png", "answer0": "3 staplers and 2 scissors", "answer0_image": null, "answer1": "3 scissors and 2 staplers", "answer1_image": null, "answer2": "3 staplers and 2 rulers", "answer2_image": null, "answer3": "3 rulers and 2 scissors", "answer3_image": null, "correct_answer": 0, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Nan Hua 2023 P4 End of Year Exam Q39", "type_id": 1, "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 09:12:19", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 11407, "skill_id": 53, "original_question_id": null, "difficulty_id": 3, "is_diagnostic": 0, "user_id": 2, "question": "Box A, B, C and D are placed on balances.
Which box is the lightest?", "explanation": "Balance 1: C is higher than B, so B is lighter than C.
Balance 2: C is higher than D, so D is lighter than C.
Balance 3: D is higher than A, so A is heavier than D.
Combining: B < C, D < C, A > D.
The box that is lighter than everything compared is B (B < C, and on the lightest side throughout).
B is the lightest.", "question_image": "p2/images/catholic-high-2022-p2-checkpoint-1-and-3-q26.png", "answer0": "A", "answer0_image": null, "answer1": "B", "answer1_image": null, "answer2": "C", "answer2_image": null, "answer3": "D", "answer3_image": null, "correct_answer": 1, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Catholic High 2022 P2 Checkpoint 3 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": "2026-05-28 16:48:00", "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 \\(\\dfrac{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 \\(\\dfrac{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, "scope": "systemwide", "org_id": null, "house_id": null, "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 08:28:26", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 30019, "skill_id": 452, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "The square grid shows the positions of eight points (A, B, C, D, E, F, G, H), with North marked.
(a) F is which direction of D, and D is which direction of G?", "explanation": "On the grid, F lies directly to the left (west) of D, so F is west of D.
D lies directly above G, so D is north of G.
Answer: F is west of D and D is north of G.
[Part (b): points that are south-west of B are E and F.]", "question_image": "p6/images/tao-nan-2025-p6-prelim-q22.png", "answer0": "F is west of D and D is north of G", "answer0_image": null, "answer1": "F is east of D and D is south of G", "answer1_image": null, "answer2": "F is north of D and D is west of G", "answer2_image": null, "answer3": "F is west of D and D is south of G", "answer3_image": null, "correct_answer": 0, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Tao Nan 2025 P6 Prelim P1 Q22", "type_id": 1, "calculator": null, "created_at": "2026-05-29 17:36:21", "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 17:36:21", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 29189, "skill_id": 145, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "Jack wanted to create a figure using white squares and grey squares, with PQ as the line of symmetry.
He still had more squares to add.
(a) Measure and write down the length of PQ.
Ans: cm
(b) What are the smallest numbers of white squares and grey squares Jack needs to add to the figure so that PQ remains as the line of symmetry? Ans: white squares , grey squares ", "explanation": "(a) Measuring the diagonal PQ on the grid gives 6.4 cm.
(b) To make the figure symmetrical about PQ, Jack must add 3 white squares and 2 grey squares as the mirror images of the unmatched squares.", "question_image": "p6/images/henry-park-2025-p6-prelim-q34.png", "answer0": "6.4", "answer0_image": null, "answer1": "3", "answer1_image": null, "answer2": "2", "answer2_image": null, "answer3": null, "answer3_image": null, "correct_answer": null, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Henry Park 2025 P6 Prelim P2 Q4", "type_id": 2, "calculator": null, "created_at": "2026-05-29 17:24:54", "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 17:24:54", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 29429, "skill_id": 452, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "The square grid shows the positions of Points A, B, C, D, E and F, with North marked.
(a) Ramsy walked directly from point E to point D in a straight line.
In which direction did Ramsy walk?", "explanation": "On the grid, D is up and to the right of E, so walking from E to D is towards the North-East.
Answer: North-East.
[Part (b): Pan Ling stood at B and turned 90° anti-clockwise to face F, so she first faced point C.]", "question_image": "p6/images/st-nicholas-2025-p6-prelim-q24.png", "answer0": "North-East", "answer0_image": null, "answer1": "North-West", "answer1_image": null, "answer2": "South-East", "answer2_image": null, "answer3": "North", "answer3_image": null, "correct_answer": 0, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "St Nicholas 2025 P6 Prelim P1 Q24", "type_id": 1, "calculator": null, "created_at": "2026-05-29 17:25:27", "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 17:25:27", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 13965, "skill_id": 82, "original_question_id": null, "difficulty_id": 3, "is_diagnostic": 0, "user_id": 2, "question": "Jane accidentally spilled some ink on a receipt.\nXYZ Bookstore Receipt — Highlighter \\(\\$3.50\\), Book \\(\\$9.90\\), Pencil Case \\(\\$6\\).[ink], Total \\(\\$20\\).[ink]5.\nWhat was the greatest possible total amount on the receipt?", "explanation": "Highlighter + Book = \\(\\$3.50\\) + \\(\\$9.90\\) = \\(\\$13.40.\\) The total is \\(\\$20.\\)_5, so the pencil case = total - \\(\\$13.40.\\) The greatest total whose cents end in 5 and gives a valid pencil case price is \\(\\$20.95\\) (pencil case \\(\\$7.55\\) -> not matching \\(\\$6.\\)_; greatest total consistent with the visible digits is \\(\\$20.95\\)).", "question_image": "p3/images/nanyang-2023-p3-weighted-assessment-1-and-2-q12.png", "answer0": "$20.05", "answer0_image": null, "answer1": "$20.35", "answer1_image": null, "answer2": "$20.65", "answer2_image": null, "answer3": "$20.95", "answer3_image": null, "correct_answer": 3, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q3", "type_id": 1, "calculator": null, "created_at": "2026-05-29 01:34:55", "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 01:34:55", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 18760, "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 divided into 8 identical triangles; 5 of them are shaded, giving 5/8.
Option (4).", "question_image": "p4/images/nan-hua-2023-p4-weighted-assessment-q16.png", "answer0": "\\(\\frac{3}{4}\\)", "answer0_image": null, "answer1": "\\(\\frac{3}{5}\\)", "answer1_image": null, "answer2": "\\(\\frac{3}{8}\\)", "answer2_image": null, "answer3": "\\(\\frac{5}{8}\\)", "answer3_image": null, "correct_answer": 3, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Nan Hua 2023 P4 Weighted Assessment WA2 Q2", "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 06:02:38", "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 \\(\\dfrac{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 = \\(\\dfrac{1}{3}\\).)", "question_image": null, "answer0": "Set A", "answer0_image": "p4/images/pei-hwa-2023-p4-weighted-assessment-3-q2-opt0.png", "answer1": "Set B", "answer1_image": "p4/images/pei-hwa-2023-p4-weighted-assessment-3-q2-opt1.png", "answer2": "Set C", "answer2_image": "p4/images/pei-hwa-2023-p4-weighted-assessment-3-q2-opt2.png", "answer3": "Set D", "answer3_image": "p4/images/pei-hwa-2023-p4-weighted-assessment-3-q2-opt3.png", "correct_answer": 3, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "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 18:08:00", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 15372, "skill_id": 100, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "The diagram shows lines on a square grid.
Which of the following is true?", "explanation": "AB slopes one way and AG slopes the opposite way; at point A they meet to form a right angle, so AB is perpendicular to AG (AB ⊥ AG).", "question_image": "p3/images/maha-bodhi-2025-p3-weighted-assessment-2-q6.png", "answer0": "BC // AG", "answer0_image": null, "answer1": "CD // FG", "answer1_image": null, "answer2": "AB ⊥ BC", "answer2_image": null, "answer3": "AB ⊥ AG", "answer3_image": null, "correct_answer": 3, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Maha Bodhi 2025 P3 Weighted Assessment 2 Q6", "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 02:35:15", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 15471, "skill_id": 100, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "Name a pair of parallel lines.", "explanation": "On the grid, line AB and line FE run in the same direction (same slope) and never meet, so AB is parallel to FE.", "question_image": "p3/images/ai-tong-2025-p3-weighted-assessment-3-q4.png", "answer0": "AB and FE", "answer0_image": null, "answer1": "AB and CD", "answer1_image": null, "answer2": "HJ and CG", "answer2_image": null, "answer3": "IG and HE", "answer3_image": null, "correct_answer": 0, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q4", "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 02:40:11", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null }, { "id": 18415, "skill_id": 142, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "Study the diagram and answer the following questions.
a) Which position is south-west of X?
b) Derek started at Position X.
He walked 3 steps due east, 1 step due north and then 3 steps due east.
At which position did he end up?
c) Samuel was at a certain position.
He walked 2 steps due west and then 1 step due north.
He ended at Position G.
What was his starting position?
a) Position
b)
c) ", "explanation": "Using the grid: a) The position south-west (down-left) of X is A.
b) From X, 3 east + 1 north + 3 east lands on F.
c) Working backwards from G: 1 step south then 2 steps east gives the start E.", "question_image": "p4/images/tao-nan-2023-p4-weighted-assessment-1-and-2-q18.png", "answer0": "A", "answer0_image": null, "answer1": "F", "answer1_image": null, "answer2": "E", "answer2_image": null, "answer3": null, "answer3_image": null, "correct_answer": null, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "Tao Nan 2023 P4 Weighted Assessment 1 and 2 WA1 Q18", "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": 29431, "skill_id": 231, "original_question_id": null, "difficulty_id": 2, "is_diagnostic": 0, "user_id": 2, "question": "(a) For the solid shown (with Top view, Front view and Side view marked), which 2 views of the solid are the same?", "explanation": "Looking at the cube arrangement, the Front view and the Side view show the same outline, so those two views are the same.
Answer: Front view and Side view.
[Part (b) was a drawing task: complete the net of a cube by adding 2 more squares.]", "question_image": "p6/images/st-nicholas-2025-p6-prelim-q26.png", "answer0": "Front view and Side view", "answer0_image": null, "answer1": "Top view and Front view", "answer1_image": null, "answer2": "Top view and Side view", "answer2_image": null, "answer3": "All three are different", "answer3_image": null, "correct_answer": 0, "status_id": 4, "scope": "systemwide", "org_id": null, "house_id": null, "source": "St Nicholas 2025 P6 Prelim P1 Q26", "type_id": 1, "calculator": null, "created_at": "2026-05-29 17:25:27", "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 17:25:27", "gamecodes_id": null, "reviewed_by": null, "reviewed_at": null } ]