{ "paper": { "school": "Ai Tong", "year": 2025, "level": "P3", "label": "Weighted Assessment 3", "source_prefix": "Ai Tong 2025 P3 Weighted Assessment 3", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "Find the value of 2/9 + 2/3", "answer0": "8/9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 1, "explanation": "Make the denominators the same: 2/3 = 6/9. Then 2/9 + 6/9 = 8/9.", "hints": ["Convert 2/3 to ninths.", "2/3 = 6/9, so add 2/9 + 6/9."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 8/9." }, { "n": 2, "type_id": 2, "question": "Find the value of 1/2 - 3/8", "answer0": "1/8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 1, "explanation": "Make the denominators the same: 1/2 = 4/8. Then 4/8 - 3/8 = 1/8.", "hints": ["Convert 1/2 to eighths.", "1/2 = 4/8, so subtract 4/8 - 3/8."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 1/8." }, { "n": 3, "type_id": 0, "question": "A, B, C, X and Y are five points on the square grid. Join 2 points to form a line perpendicular to XY.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "XY runs from X up-right to Y (slope 1 up over 2 across is shown; a perpendicular line must run the opposite way). Joining X to C (or X to B) on the grid gives a line perpendicular to XY. Answer key marks the line from X down to C as the perpendicular.", "hints": ["A perpendicular line meets XY at a right angle.", "Try joining X to C and check the corner is a right angle."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 2, "image_bbox": [0.25, 0.12, 0.62, 0.40], "image_loc": "square grid near top of page showing points X, Y, A, B, C", "notes": "Interactive draw-a-line task; no app type. type_id 0 (skipped on insert). Answer key: line from X to C is perpendicular to XY." }, { "n": 4, "type_id": 1, "question": "Name a pair of parallel lines.", "answer0": "AB and FE", "answer1": "AB and CD", "answer2": "HJ and CG", "answer3": "IG and HE", "correct_answer": 0, "skill_id": 100, "difficulty_id": 2, "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.", "hints": ["Parallel lines never cross and have the same slant.", "Look for two lines pointing the same way."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 2, "image_bbox": [0.25, 0.50, 0.62, 0.80], "image_loc": "square grid in lower half of page with lettered lines A,B,C,D,E,F,G,H,I,J", "notes": "Answer key: AB // FE. Converted to MCQ (letter answer; exact-match grading unreliable). Distractors are plausible non-parallel pairs." }, { "n": 5, "type_id": 2, "question": "(a) 6 kg 50 g = [?] g\n(b) 4028 cm = [?] m [?] cm", "answer0": "6050", "answer1": "40", "answer2": "28", "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 1, "explanation": "(a) 6 kg = 6000 g, so 6 kg 50 g = 6000 + 50 = 6050 g. (b) 1 m = 100 cm, so 4028 cm = 40 m 28 cm (4000 cm = 40 m, remainder 28 cm).", "hints": ["1 kg = 1000 g; 1 m = 100 cm.", "For (b), divide 4028 by 100: quotient is the metres, remainder the cm."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: a) 6050g, b) printed '90m 28cm'. Key (b) is a typo: 4028 cm = 40 m 28 cm. Used correct 40 / 28." }, { "n": 6, "type_id": 2, "question": "(a) What is the total volume of water in Beaker A and Beaker B? Give your answer in millilitres (ml). [?]\n(b) What is the mass of the bag of cookies? [?]", "answer0": "1350", "answer1": "140", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "(a) Beaker A shows 1 litre (1000 ml) of water and Beaker B shows 350 ml; total = 1000 + 350 = 1350 ml. (b) The pointer on the kitchen scale is between 100 g and 200 g, reading 140 g.", "hints": ["1 litre = 1000 ml; read each beaker's water level.", "Read the scale pointer carefully for (b)."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 3, "image_bbox": [0.24, 0.40, 0.55, 0.52], "image_loc": "two beakers (A and B) in middle of page; scale with cookies bag lower down", "notes": "Answer key: a) 1350ml, b) 140g. Two figures on the page (beakers for (a), kitchen scale with cookies for (b)); bbox covers the beakers, scale figure is lower (~0.55-0.80 y)." }, { "n": 7, "type_id": 2, "question": "(a) What is the missing fraction in the box on the number line? [?]\n(b) Find the missing number in the box. 5/6 = 15/[?]", "answer0": "3/7", "answer1": "18", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 80, "difficulty_id": 2, "explanation": "(a) The number line from 0 to 1 is divided into 7 equal parts; the box sits at the 3rd mark, so it is 3/7. (b) 5/6 = 15/? means the numerator was multiplied by 3 (5x3=15), so the denominator is 6x3 = 18.", "hints": ["(a) Count how many equal parts between 0 and 1.", "(b) 5 multiplied by what gives 15? Do the same to 6."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 4, "image_bbox": [0.25, 0.14, 0.72, 0.22], "image_loc": "number line from 0 to 1 with a boxed '?' near the top of the page (part a)", "notes": "Answer key: a) 3/7, b) 18. Part (b) fraction equation is text, no figure needed." }, { "n": 8, "type_id": 2, "question": "Arrange the following fractions from the smallest to the greatest. 7/12 , 2/7 , 2/5", "answer0": "2/7", "answer1": "2/5", "answer2": "7/12", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "Compare as decimals: 7/12 is about 0.58, 2/7 is about 0.29, 2/5 = 0.4. Smallest to greatest: 2/7, 2/5, 7/12.", "hints": ["Convert each fraction to a decimal to compare.", "2/7 < 2/5 because sevenths are smaller pieces."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 2/7, 2/5, 7/12 (smallest to greatest). Ordering FIB, one blank per position." }, { "n": 9, "type_id": 2, "question": "In the number line, P represents 1/5 and R represents 1/3. PQ = QR. What fraction is represented by Q?", "answer0": "7/15", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 3, "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.)", "hints": ["PQ = QR means Q is exactly halfway between P and R.", "Express 1/5 and 1/3 in fifteenths first."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 5, "image_bbox": [0.25, 0.16, 0.68, 0.26], "image_loc": "horizontal number line with marks P (1/5), Q (boxed ?), R (1/3) near top of page", "notes": "Answer key: 7/15. DISCREPANCY: midpoint of 1/5 and 1/3 = 4/15, not 7/15; official key value retained per spec but flagged for review." }, { "n": 10, "type_id": 2, "question": "The figure is made up of equal parts. Minah wants to shade 2/3 of the figure. How many more parts must she shade?", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 77, "difficulty_id": 2, "explanation": "The big triangle is split into 9 small equal triangles. 2/3 of 9 = 6 parts. Currently 4 parts are shaded, so 6 - 4 = 2 more parts must be shaded.", "hints": ["Count the total number of equal parts (small triangles).", "Find 2/3 of that total, then subtract the parts already shaded."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q10", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 5, "image_bbox": [0.20, 0.52, 0.42, 0.70], "image_loc": "large triangle divided into 9 small triangles, some shaded, left-centre of page", "notes": "Answer key: 2. Count-based: 9 equal triangles, 4 shaded, need 6 (=2/3 of 9), so 2 more." }, { "n": 11, "type_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.", "answer0": "1/2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 78, "difficulty_id": 3, "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.", "hints": ["Work out how much of each square is shaded.", "Add the shaded amounts, then write over 3 squares and simplify."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q11", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 6, "image_bbox": [0.24, 0.18, 0.52, 0.30], "image_loc": "row of 3 squares; first fully shaded, last split into 4 triangles with shading, upper-left of page", "notes": "Answer key working: 1 - 3/6 = 3/6 = 1/2. Final answer 1/2." }, { "n": 12, "type_id": 2, "question": "Ken joined a 5 km walk-and-run race. He ran 3450 m and walked for the rest of the distance. How far did he walk? Give your answer in km and m. [?] km [?] m", "answer0": "1", "answer1": "550", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "5 km = 5000 m. Walked = 5000 - 3450 = 1550 m. Convert: 1550 m = 1 km 550 m.", "hints": ["Change 5 km to metres first.", "Subtract the running distance, then split into km and m."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 5000m - 3450m = 1550m = 1km 550m." }, { "n": 13, "type_id": 2, "question": "Kevin, Celia and Emma had some stickers. Kevin had 546 stickers. He had 3 times as many stickers as Celia.\n(a) How many stickers did Celia have? [?]\n(b) Then, Celia gave 80 stickers to Emma. In the end, Emma had 148 stickers. How many stickers did Kevin, Celia and Emma have altogether? [?]", "answer0": "182", "answer1": "796", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "(a) Celia = 546 / 3 = 182 stickers. (b) Before giving, Emma had 148 - 80 = 68. The altogether total is unchanged by transfers between them: Kevin 546 + Celia 182 + Emma 68 = 796. (Equivalently the key uses 148 + 102 = 250 for Celia+Emma after the transfer, plus Kevin 546 = 796.)", "hints": ["(a) '3 times as many' means divide Kevin's amount by 3.", "(b) The total does not change when stickers are passed between the three; add the three original amounts."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: a) 546/3 = 182. b) 148 + 102 = 250; 546 + 250 = 796. Final: a) 182, b) 796." }, { "n": 14, "type_id": 2, "question": "Each [trapezium] on the balance scale has a mass of 136 g.\n(a) What is the mass of the sack of flour? [?] g\n(b) The sack of flour is then packed into 4 bags equally. What is the mass of each bag of flour? [?] g", "answer0": "952", "answer1": "238", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) Left side has 9 trapeziums = 136 x 9 = 1224 g. Right side has the sack plus 2 trapeziums = sack + 136 x 2 = sack + 272 g. Balanced, so sack = 1224 - 272 = 952 g. (b) Packed into 4 equal bags: 952 / 4 = 238 g each.", "hints": ["Count the weights on each side; each weighs 136 g.", "(a) sack = (weights on left) - (weights on right). (b) divide by 4."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 8, "image_bbox": [0.20, 0.13, 0.85, 0.28], "image_loc": "balance scale: stack of trapezium weights on left, sack of flour plus weights on right, top of page", "notes": "Answer key: a) 136x9=1224, 136x2=272, 1224-272=952g. b) 952/4=238g. Counts (9 left, 2 right) from figure." }, { "n": 15, "type_id": 2, "question": "A jug has 3 l of milk. Amy poured the milk into 5 cups. Each cup contains 220 ml of milk. How much milk is left in the jug? Give your answer in l and ml. [?] l [?] ml", "answer0": "1", "answer1": "900", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "Milk poured out = 220 ml x 5 = 1100 ml. Jug had 3 l = 3000 ml. Left = 3000 - 1100 = 1900 ml = 1 l 900 ml.", "hints": ["Find the total milk poured into the 5 cups first.", "Change 3 l to ml, subtract, then convert back to l and ml."], "source": "Ai Tong 2025 P3 Weighted Assessment 3 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 220x5=1100ml; 3L=3000ml; 3000-1100=1900ml = 1L 900ml." } ] }