{ "paper": { "school": "Ai Tong", "year": 2024, "level": "P4", "label": "Term 2 Review", "source_prefix": "Ai Tong 2024 P4 Term 2 Review", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the improper fraction represented by the letter 'A' on the number line?", "answer0": "$$\\frac{23}{5}$$", "answer1": "$$\\frac{22}{5}$$", "answer2": "$$\\frac{24}{5}$$", "answer3": "$$\\frac{4}{5}$$", "correct_answer": 0, "skill_id": 119, "difficulty_id": 2, "explanation": "The number line is divided into fifths. The mark 25/5 = 5 is shown. Each interval is 1/5. Letter A sits 2 small marks before 5, i.e. 5 - 2/5 = 23/5. So A = $$\\frac{23}{5}$$.", "hints": ["Each small interval between 4 and 5 is one fifth.", "25/5 = 5; count the fifths back from 5 to reach A."], "source": "Ai Tong 2024 P4 Term 2 Review Q1", "image_needed": true, "image_options": false, "image_file": "q1.png", "image_page": 1, "image_bbox": [0.20, 0.39, 0.78, 0.52], "image_loc": "number line in the middle of the page, with A and 25/5 marked above arrows", "notes": "Answer 23/5 is an improper fraction -> MCQ. Answer key: 23/5." }, { "n": 2, "type_id": 1, "question": "Arrange the fractions from the smallest to the greatest.
$$\\frac{9}{4}$$ , $$\\frac{7}{3}$$ , $$2\\frac{7}{12}$$", "answer0": "$$\\frac{9}{4}$$ , $$\\frac{7}{3}$$ , $$2\\frac{7}{12}$$", "answer1": "$$2\\frac{7}{12}$$ , $$\\frac{7}{3}$$ , $$\\frac{9}{4}$$", "answer2": "$$\\frac{7}{3}$$ , $$\\frac{9}{4}$$ , $$2\\frac{7}{12}$$", "answer3": "$$\\frac{9}{4}$$ , $$2\\frac{7}{12}$$ , $$\\frac{7}{3}$$", "correct_answer": 0, "skill_id": 119, "difficulty_id": 2, "explanation": "Convert to a common form: 9/4 = 2.25, 7/3 ≈ 2.333, 2 7/12 ≈ 2.583. Smallest to greatest: $$\\frac{9}{4}$$, $$\\frac{7}{3}$$, $$2\\frac{7}{12}$$.", "hints": ["Convert each fraction to a decimal or to twelfths to compare.", "9/4 = 27/12, 7/3 = 28/12, 2 7/12 = 31/12."], "source": "Ai Tong 2024 P4 Term 2 Review Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering of fractions/mixed numbers -> MCQ (answer is a sequence of fractions). Answer key: 9/4, 7/3, 2 7/12." }, { "n": 3, "type_id": 1, "question": "Express the shaded part as a mixed number.", "answer0": "$$3\\frac{5}{9}$$", "answer1": "$$\\frac{32}{9}$$", "answer2": "$$3\\frac{4}{9}$$", "answer3": "$$2\\frac{5}{9}$$", "correct_answer": 0, "skill_id": 119, "difficulty_id": 2, "explanation": "Each large square is split into 9 equal parts. Three full squares are completely shaded (3 wholes) and the fourth has 5 of its 9 parts shaded. Total shaded = 3 wholes + 5/9 = $$3\\frac{5}{9}$$ (as an improper fraction $$\\frac{32}{9}$$).", "hints": ["Count the fully shaded squares as whole numbers.", "Count the shaded ninths in the last partly-shaded square."], "source": "Ai Tong 2024 P4 Term 2 Review Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 2, "image_bbox": [0.12, 0.16, 0.90, 0.30], "image_loc": "four 3x3 grids near the top of the page; first three fully shaded, fourth partly shaded", "notes": "Original parts (a) improper fraction 32/9 and (b) mixed number 3 5/9. Both fraction answers -> single MCQ asking for the mixed number. Answer key: a) 32/9, b) 3 5/9." }, { "n": 4, "type_id": 1, "question": "Find the value of $$\\frac{3}{5}+\\frac{5}{7}$$ .
Give your answer as a mixed number in the simplest form.", "answer0": "$$1\\frac{11}{35}$$", "answer1": "$$\\frac{46}{35}$$", "answer2": "$$1\\frac{8}{35}$$", "answer3": "$$\\frac{8}{12}$$", "correct_answer": 0, "skill_id": 121, "difficulty_id": 2, "explanation": "Common denominator 35: 3/5 = 21/35 and 5/7 = 25/35. Sum = 46/35 = $$1\\frac{11}{35}$$.", "hints": ["Use 35 as the common denominator.", "21/35 + 25/35 = 46/35, then convert to a mixed number."], "source": "Ai Tong 2024 P4 Term 2 Review Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Mixed-number answer -> MCQ. Answer key: 46/35 = 1 11/35." }, { "n": 5, "type_id": 2, "question": "Siti baked 36 muffins.
She gave $$\\frac{5}{9}$$ of them to her neighbours.
How many muffins had she left? [?]", "answer0": "16", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 2, "explanation": "She gave away 5/9, so she kept 4/9. 9 units = 36 muffins, 1 unit = 4 muffins, 4 units = 4 x 4 = 16 muffins left.", "hints": ["She kept 1 - 5/9 = 4/9 of the muffins.", "Find 1/9 of 36 first, then multiply by 4."], "source": "Ai Tong 2024 P4 Term 2 Review Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Integer answer -> FIB. Answer key: 9u=36, 1u=4, 4u=16." }, { "n": 6, "type_id": 1, "question": "Name the angle shown.", "answer0": "$$\\angle RQT$$", "answer1": "$$\\angle QRT$$", "answer2": "$$\\angle QTS$$", "answer3": "$$\\angle TQR$$", "correct_answer": 0, "skill_id": 139, "difficulty_id": 1, "explanation": "The marked angle a is at vertex Q, between the arms QR and QT. Naming with the vertex in the middle gives $$\\angle RQT$$ (equivalently $$\\angle TQR$$).", "hints": ["The vertex letter goes in the middle of an angle name.", "The angle a is at corner Q, formed by QR and QT."], "source": "Ai Tong 2024 P4 Term 2 Review Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 3, "image_bbox": [0.20, 0.33, 0.62, 0.49], "image_loc": "quadrilateral QRST with angle a marked at vertex Q (top-left)", "notes": "Answer is an angle name (letters) -> MCQ per spec (no word/letter FIB). Answer key: FIB; unit degrees stated in stem. Answer key: 57 degrees." }, { "n": 8, "type_id": 2, "question": "The number of waffles sold on Sunday was equal to the total number of waffles sold on Monday and Wednesday.
How many waffles were sold on Sunday? [?]", "answer0": "64", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "From the line graph Monday = 36 and Wednesday = 28. Sunday = 36 + 28 = 64 waffles.", "hints": ["Read the value for Monday and for Wednesday off the line graph.", "Add the two values together."], "source": "Ai Tong 2024 P4 Term 2 Review Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 4, "image_bbox": [0.14, 0.18, 0.92, 0.52], "image_loc": "line graph 'Waffles sold at a bakery', Monday to Saturday, upper-middle of page", "notes": "Integer answer -> FIB. Shared graph with Q9. Answer key: 36 + 28 = 64." }, { "n": 9, "type_id": 1, "question": "During which 1-day period was the decrease in the number of waffles sold the greatest?", "answer0": "Thursday to Friday", "answer1": "Tuesday to Wednesday", "answer2": "Monday to Tuesday", "answer3": "Friday to Saturday", "correct_answer": 0, "skill_id": 147, "difficulty_id": 2, "explanation": "Decreases occur Tue->Wed (42 to 28 = 14) and Thu->Fri (50 to 32 = 18). The greatest decrease is Thursday to Friday (18 waffles).", "hints": ["A decrease is where the line goes down from one day to the next.", "Compare the size of each downward drop."], "source": "Ai Tong 2024 P4 Term 2 Review Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 4, "image_bbox": [0.14, 0.18, 0.92, 0.52], "image_loc": "same 'Waffles sold at a bakery' line graph as Q8, upper-middle of page", "notes": "Answer is a day-to-day period (text) -> MCQ. Answer key: thur to fri." }, { "n": 10, "type_id": 1, "question": "Sue has $$\\frac{5}{6}$$ m of ribbon. Her ribbon is $$\\frac{1}{3}$$ m shorter than Halimah's.
Find the length of Halimah's ribbon.
Give your answer in the simplest form.", "answer0": "$$1\\frac{1}{6}$$ m", "answer1": "$$\\frac{7}{6}$$ m", "answer2": "$$\\frac{1}{2}$$ m", "answer3": "$$1\\frac{1}{3}$$ m", "correct_answer": 0, "skill_id": 122, "difficulty_id": 2, "explanation": "Sue's ribbon is shorter, so Halimah's = 5/6 + 1/3 = 5/6 + 2/6 = 7/6 = $$1\\frac{1}{6}$$ m.", "hints": ["Halimah's ribbon is longer, so add 1/3 to Sue's length.", "5/6 + 2/6 = 7/6."], "source": "Ai Tong 2024 P4 Term 2 Review Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Mixed-number answer -> MCQ. Answer key: 5/6 + 1/3 = 7/6 = 1 1/6 m." }, { "n": 11, "type_id": 1, "question": "Eric had $$\\frac{7}{8}$$ kg of strawberry. He ate $$\\frac{1}{4}$$ kg of the strawberry.
How much strawberry had he left?
Give your answer in its simplest form.", "answer0": "$$\\frac{5}{8}$$ kg", "answer1": "$$\\frac{6}{8}$$ kg", "answer2": "$$\\frac{3}{4}$$ kg", "answer3": "$$\\frac{1}{2}$$ kg", "correct_answer": 0, "skill_id": 122, "difficulty_id": 2, "explanation": "Left = 7/8 - 1/4 = 7/8 - 2/8 = 5/8 kg.", "hints": ["Convert 1/4 to eighths: 1/4 = 2/8.", "7/8 - 2/8 = 5/8."], "source": "Ai Tong 2024 P4 Term 2 Review Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Part (a) only: fraction answer 5/8 -> MCQ. Part (b) below covered by Q11 part b. Answer key 11a: 7/8 - 1/4 = 5/8 kg." }, { "n": 12, "type_id": 1, "question": "Eric had $$\\frac{7}{8}$$ kg of strawberry. He ate $$\\frac{1}{4}$$ kg, leaving $$\\frac{5}{8}$$ kg. He wanted to use the remaining strawberry to make a strawberry cake, but he needed 2 kg of strawberry for the cake.
How much more strawberry would Eric need to buy?
Give your answer as a mixed number in its simplest form.", "answer0": "$$1\\frac{3}{8}$$ kg", "answer1": "$$1\\frac{5}{8}$$ kg", "answer2": "$$\\frac{11}{8}$$ kg", "answer3": "$$1\\frac{1}{8}$$ kg", "correct_answer": 0, "skill_id": 122, "difficulty_id": 2, "explanation": "He has 5/8 kg. Needs 2 kg. More needed = 2 - 5/8 = 16/8 - 5/8 = 11/8 = $$1\\frac{3}{8}$$ kg.", "hints": ["Write 2 as 16/8.", "16/8 - 5/8 = 11/8, then convert to a mixed number."], "source": "Ai Tong 2024 P4 Term 2 Review Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "This is Q11 part (b). Mixed-number answer -> MCQ. Answer key 11b: 1 8/8 - 5/8... = 1 3/8 kg." }, { "n": 13, "type_id": 2, "question": "Mary had $60 of pocket money.
She spent $$\\frac{1}{6}$$ of her money on food, $14 on a file and saved the rest of the money.
How much money did she spend on food? $[?]", "answer0": "10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 2, "explanation": "1/6 of $60 = 60 ÷ 6 = $10 spent on food.", "hints": ["Find 1/6 of 60.", "60 ÷ 6 = 10."], "source": "Ai Tong 2024 P4 Term 2 Review Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "This is Q12 part (a). Money answer (integer dollars) -> FIB. Answer key 12a: 1/6 of 60 = $10." }, { "n": 14, "type_id": 1, "question": "Mary had $60 of pocket money. She spent $$\\frac{1}{6}$$ of her money ($10) on food, $14 on a file and saved the rest of the money.
What fraction of her pocket money did she save?", "answer0": "$$\\frac{3}{5}$$", "answer1": "$$\\frac{2}{5}$$", "answer2": "$$\\frac{1}{2}$$", "answer3": "$$\\frac{36}{60}$$", "correct_answer": 0, "skill_id": 120, "difficulty_id": 2, "explanation": "Spent $10 on food and $14 on a file = $24. Saved = 60 - 24 = $36. Fraction saved = 36/60 = 3/5.", "hints": ["Total spent = $10 + $14 = $24.", "Saved = 60 - 24 = 36; simplify 36/60."], "source": "Ai Tong 2024 P4 Term 2 Review Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "This is Q12 part (b). Fraction answer 3/5 -> MCQ. Answer key 12b: 36/60 = 3/5." }, { "n": 15, "type_id": 2, "question": "The graph shows the types of books each student borrowed from a school library last Monday. Science Fiction = 36, Comics = 14.
Complete the table:
Mystery = [?]
Fantasy = [?]", "answer0": "30", "answer1": "16", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 146, "difficulty_id": 1, "explanation": "Reading the bar graph: Mystery bar reaches 30 students; Fantasy bar reaches 16 students.", "hints": ["Read each bar against the 'Number of students' axis.", "Each gridline is 4 students."], "source": "Ai Tong 2024 P4 Term 2 Review Q13", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 8, "image_bbox": [0.12, 0.16, 0.92, 0.38], "image_loc": "horizontal bar graph 'Types of books each student borrowed' near top of page", "notes": "This is Q13 part (a) i & ii. Two integer blanks -> FIB. Answer key 13a: i. 30, ii. 16." }, { "n": 16, "type_id": 2, "question": "The graph shows the types of books each student borrowed from a school library last Monday. Science Fiction = 36, Comics = 14.
How many more students borrowed Science Fiction books than Comics? [?]", "answer0": "22", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 1, "explanation": "Science Fiction = 36, Comics = 14. Difference = 36 - 14 = 22 students.", "hints": ["Read Science Fiction and Comics values from the graph.", "Subtract: 36 - 14."], "source": "Ai Tong 2024 P4 Term 2 Review Q13", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 8, "image_bbox": [0.12, 0.16, 0.92, 0.38], "image_loc": "same horizontal bar graph 'Types of books each student borrowed' as Q15", "notes": "This is Q13 part (b). Integer answer -> FIB. Answer key 13b: 36 - 14 = 22." }, { "n": 17, "type_id": 2, "question": "Mr. Lee sells 4 similar laptops and 1 printer for $5775.
1 printer is sold at $1000 less than 1 laptop.
What is the price of a printer? $[?]", "answer0": "355", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "A printer costs $1000 less than a laptop. Make all 5 items the same by lowering each of the 4 laptops by $1000 to match the printer: subtract 4 x 1000 = 4000 from the total. 5 printer-priced units = 5775 - 4000 = 1775, so 1 printer = 1775 ÷ 5 = $355. (Check: laptop = 355 + 1000 = 1355; 4 x 1355 + 355 = 5420 + 355 = 5775.)", "hints": ["Express the printer price in terms of a laptop: printer = laptop - 1000.", "Substitute so the total is in laptop-units, solve for 1 laptop, then printer = laptop - 1000."], "source": "Ai Tong 2024 P4 Term 2 Review Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Money answer (integer dollars) -> FIB. Answer key: 1000 x 4 = 4000; 4u = 5775 - 4000 = 1775; 1u = 1775 ÷ 5 = $355. (Printer = laptop - 1000; 5 units total = 5 laptops worth minus printer discount, printer price = $355.)" } ] }