{ "paper": { "school": "Nanyang", "year": 2025, "level": "P4", "label": "Weighted Assessment 2", "source_prefix": "Nanyang 2025 P4 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "Which of the following shows $$\\frac{1}{3}$$ of the shapes shaded?", "answer0": "Figure 1", "answer1": "Figure 2", "answer2": "Figure 3", "answer3": "Figure 4", "correct_answer": 2, "skill_id": 120, "difficulty_id": 1, "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.", "hints": [ "Count the total number of equal parts in each figure, then count how many are shaded.", "Look for the figure where shaded parts divided by total parts equals $$\\frac{1}{3}$$." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q1", "image_needed": true, "image_options": true, "image_file": null, "image_page": 1, "image_bbox": [0.22, 0.6, 0.78, 0.82], "image_loc": "four labelled option figures (1)-(4), each a small grid of squares, below the question on page 1", "notes": "Image-option MCQ: each option is a grid figure showing some cells shaded. Key answer = option 3 (a 6-cell grid with 2 cells shaded = 1/3). Crop each option to q1_opt0.png..q1_opt3.png." }, { "n": 2, "type_id": 1, "question": "The table shows the number of candies sold in a supermarket.
Find the number of sweets sold on Saturday.", "answer0": "527", "answer1": "952", "answer2": "1205", "answer3": "1303", "correct_answer": 0, "skill_id": 118, "difficulty_id": 2, "explanation": "Method: Saturday total = sweets + lollipops + chocolates. So sweets = total minus the other two. $$1830-425-878=527$$. The answer is option 1, 527.", "hints": [ "The Saturday row total is 1830; subtract the known lollipops and chocolates.", "$$1830-425-878$$" ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q2", "image_needed": true, "image_options": false, "image_file": "q2.png", "image_page": 2, "image_bbox": [0.26, 0.14, 0.82, 0.2], "image_loc": "the candies sales table near the top of page 2, with columns Sweets/Lollipops/Chocolates/Total and rows Saturday/Sunday", "notes": "Shared-table question (Q2 and Q3 use the same table). Saturday: ?, 425, 878, total 1830. Sunday: blank, 670, ?, total 1150." }, { "n": 3, "type_id": 1, "question": "The number of sweets sold on Sunday is twice the number of chocolates sold on Sunday. How many chocolates were sold on Sunday?", "answer0": "120", "answer1": "160", "answer2": "320", "answer3": "480", "correct_answer": 1, "skill_id": 118, "difficulty_id": 2, "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.", "hints": [ "Sweets and chocolates together on Sunday = 1150 - 670.", "Sweets = 2 units, chocolates = 1 unit, so 3 units = 480; find 1 unit." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 2, "image_bbox": [0.26, 0.14, 0.82, 0.2], "image_loc": "the candies sales table near the top of page 2 (same table as Q2)", "notes": "Uses the same table as Q2. Key working: 1150-670=480 (sweets+chocolates), 480 divided by 3 = 160. Answer = option 2 (160)." }, { "n": 4, "type_id": 2, "question": "The line graph shows the number of stickers sold over 4 months.
Find the difference between the number of stickers sold in March and April.", "answer0": "28", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 1, "explanation": "Method: read both values from the line graph. March = 20 stickers, April = 48 stickers. Difference = $$48-20=28$$.", "hints": [ "Read the height of the line at March and at April.", "Subtract the smaller value from the larger: $$48-20$$." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 3, "image_bbox": [0.33, 0.21, 0.85, 0.42], "image_loc": "line graph titled 'Number of stickers sold' in the upper-middle of page 3, x-axis months Jan-Apr, y-axis 0-60", "notes": "Line graph: Jan=14, Feb=36, March=20, April=48. Key answer = 28 (48-20). One real answer blank." }, { "n": 5, "type_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?", "answer0": "424", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "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.", "hints": [ "She spent 5 of 9 units, so 4 of 9 units are left.", "Find the money left = $$\\frac{4}{9}\\times954$$." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer entered in dollars. Key answer = $424 (4/9 of 954). Answer value stored as plain 424." }, { "n": 6, "type_id": 2, "question": "Bag A weighs $$\\frac{1}{4}$$ kg. Bag B weighs $$\\frac{3}{5}$$ kg. Bag C weighs $$\\frac{5}{8}$$ kg.
(a) Which 2 bags, when added together, will be heavier than 1 kg? Answer: Bag [?] and Bag [?]
(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?", "answer0": "B", "answer1": "C", "answer2": "2 2/5", "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "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.", "hints": [ "(a) Add each pair of fractions and compare with 1 (which is $$\\frac{40}{40}$$).", "(b) Subtract Bag B's mass from 3 kg: $$3-\\frac{3}{5}$$." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two-part. (a) two answer blanks = B and C (any order). (b) one answer blank = mixed number 2 2/5 kg. Answers stored plain (B, C, '2 2/5')." }, { "n": 7, "type_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.", "answer0": "1 2/10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "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.", "hints": [ "First find how much Harry drank: $$\\frac{7}{10}-\\frac{1}{5}$$.", "Add Ali's and Harry's amounts, then write as a mixed number." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer in litres. Key answer = 1 2/10 (left unsimplified per the key). Stored plain as '1 2/10'." }, { "n": 8, "type_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.
(a) What is the length of Rope B, in m? Give your answer in its simplest form.
(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?", "answer0": "3/20", "answer1": "13/20", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "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.", "hints": [ "(a) Subtract: $$\\frac{9}{10}-\\frac{3}{4}$$, using a common denominator of 20.", "(b) Rope B is the shortest, so add $$\\frac{1}{2}$$ to Rope B's length." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q8", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two-part. (a) one blank = 3/20 m (simplest form). (b) one blank = 13/20 m. Answers stored plain (3/20, 13/20)." }, { "n": 9, "type_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.
(a) How many pears did the fruit seller sell?
(b) How many apples, pears and watermelons did the fruit seller sell in total?", "answer0": "240", "answer1": "840", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "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 = $$7\\times120=840$$.", "hints": [ "Total = 7 units: pears 2, apples 4, watermelons 1.", "Apples - watermelons = 3 units = 360; find 1 unit, then pears (2u) and total (7u)." ], "source": "Nanyang 2025 P4 Weighted Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two-part. (a) pears = 240. (b) total = 840. Answers verified against key." } ] }