{
"paper": {
"school": "Ai Tong",
"year": 2025,
"level": "P5",
"label": "Weighted Assessment 2",
"source_prefix": "Ai Tong 2025 P5 Weighted Assessment 2",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 2,
"question": "(a) Express 6095 cm³ in ℓ and mℓ. [?] ℓ [?] mℓ
(b) Express 8 kg 20 g in kg. [?] kg",
"answer0": "6",
"answer1": "95",
"answer2": "8.02",
"answer3": null,
"correct_answer": null,
"skill_id": 192,
"difficulty_id": 2,
"explanation": "(a) 1 ℓ = 1000 cm³, so 6095 cm³ = 6 ℓ 95 mℓ. (b) 20 g = 0.02 kg, so 8 kg 20 g = 8.02 kg.",
"hints": ["1000 cm³ = 1 ℓ = 1000 mℓ.", "1000 g = 1 kg, so 20 g = 0.02 kg."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: (a) 6 ℓ 95 mℓ; (b) 8.02 kg. Blanks in order: ℓ, mℓ, kg."
},
{
"n": 2,
"type_id": 2,
"question": "The cuboid has a height of 8 cm and a square base of side 3 cm. Find its volume. [?]",
"answer0": "72",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 190,
"difficulty_id": 1,
"explanation": "Volume = base area × height = (3 × 3) × 8 = 9 × 8 = 72 cm³.",
"hints": ["The base is a square of side 3 cm, so its area is 3 × 3.", "Multiply the base area by the height of 8 cm."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q2",
"image_needed": true,
"image_options": false,
"image_file": "q2.png",
"image_page": 1,
"image_bbox": [0.2, 0.66, 0.4, 0.82],
"image_loc": "drawing of the cuboid with height 8 cm and base side 3 cm, lower-left of the page",
"notes": "Answer key: 72 cm³. Answer in cm³."
},
{
"n": 3,
"type_id": 2,
"question": "Find the area of the shaded triangle. [?]",
"answer0": "120",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 2,
"explanation": "Area of shaded triangle = ½ × base × height = ½ × 16 × 15 = 120 m². (The base is the 16 m side and the perpendicular height is 15 m.)",
"hints": ["Use ½ × base × height with the matching perpendicular height.", "Base 16 m, height 15 m: ½ × 16 × 15."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q3",
"image_needed": true,
"image_options": false,
"image_file": "q3.png",
"image_page": 2,
"image_bbox": [0.18, 0.13, 0.53, 0.29],
"image_loc": "shaded triangle with sides 4 m, 15 m, 16 m and base 25 m near the top of the page",
"notes": "Answer key: 120 cm² (printed as cm²; geometry uses m, base 16 and height 15). Answer in the stated unit."
},
{
"n": 4,
"type_id": 2,
"question": "A wire is 2.5 m long. Some of it is used to form a triangle with 3 equal sides. Each side of the triangle is 75 cm. What is the length of wire that is left unused? [?]",
"answer0": "25",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 184,
"difficulty_id": 2,
"explanation": "2.5 m = 250 cm. Triangle uses 75 × 3 = 225 cm. Wire left = 250 − 225 = 25 cm.",
"hints": ["Convert 2.5 m to centimetres first.", "Subtract the total length of the three sides."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q4",
"image_needed": true,
"image_options": false,
"image_file": "q4.png",
"image_page": 2,
"image_bbox": [0.2, 0.55, 0.4, 0.72],
"image_loc": "equilateral triangle with one side labelled 75 cm, middle-left of the page",
"notes": "Answer key: 25 cm. Answer in cm."
},
{
"n": 5,
"type_id": 0,
"question": "7 unit cubes were stacked and glued together to form the solid. Draw the side view and the top view of the solid on the grid.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 188,
"difficulty_id": 2,
"explanation": "The side view and top view are drawn on the dot grid by projecting the solid from the side and from above; both match the shapes shown in the answer key.",
"hints": ["The top view shows how many cubes occupy each grid square from above.", "The side view shows the height profile from the side."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Interactive drawing task (draw side and top views). type_id 0 — skipped on insert; not served as an answerable question."
},
{
"n": 6,
"type_id": 2,
"question": "In a competition, \\(\\dfrac{3}{5}\\) of the participants were men. \\(\\dfrac{1}{3}\\) of the remaining participants were women and the rest were children. There were 225 more men than children. How many participants were there in the competition? [?]",
"answer0": "675",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Let total be 15 units. Men = 3/5 = 9 units. Remaining = 6 units; women = 1/3 of 6 = 2 units; children = 6 − 2 = 4 units. Men − children = 9 − 4 = 5 units = 225, so 1 unit = 45. Total = 15 × 45 = 675 participants.",
"hints": ["Split the total into 15 equal units so 3/5 and 1/3 are whole numbers of units.", "The difference of 5 units equals 225 people."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 675 participants."
},
{
"n": 7,
"type_id": 2,
"question": "At a party, a rectangular container measuring 45 cm by 38 cm by 40 cm was \\(\\dfrac{5}{8}\\) filled with fruit punch at first. Each guest was served with a 550 mℓ cup of fruit punch. What was the greatest possible number of such cups of fruit punch served? [?]",
"answer0": "77",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 193,
"difficulty_id": 3,
"explanation": "Volume of fruit punch = 5/8 × 45 × 38 × 40 = 42 750 cm³ = 42 750 mℓ. 42 750 ÷ 550 = 77 remainder 400, so the greatest number of full 550 mℓ cups is 77.",
"hints": ["Find the volume of punch as a fraction of the container, in cm³ = mℓ.", "Divide by 550 and take the whole-number part (a partial cup does not count)."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 5,
"image_bbox": [0.2, 0.2, 0.8, 0.4],
"image_loc": "rectangular container 45 cm by 38 cm by 40 cm partly filled, with a 550 mℓ cup beside it, upper-middle of the page",
"notes": "Answer key: 77 cups (42 750 ÷ 550 = 77 r 400 mℓ)."
},
{
"n": 8,
"type_id": 2,
"question": "The cost of 2 pens and 4 files is $23.90. The cost of a file is $1.40 more than the cost of a pen. Find the cost of a pen. [?]",
"answer0": "3.05",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "Each file is $1.40 more than a pen, so 4 files carry 4 × $1.40 = $5.60 of extra cost. Removing that: $23.90 − $5.60 = $18.30 for 6 'pen-equal' units (2 pens + 4 files at pen price). 1 pen = $18.30 ÷ 6 = $3.05.",
"hints": ["Replace each file's price with a pen's price plus $1.40.", "Subtract the extra 4 × $1.40 then divide by 6."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q8",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $3.05. Answer in dollars."
},
{
"n": 9,
"type_id": 2,
"question": "Amanda went shopping with some money. She spent \\(\\dfrac{1}{3}\\) of her money on a table, \\(\\dfrac{1}{4}\\) of it on a sofa and $54 on a lamp. Then, she had \\(\\dfrac{1}{6}\\) of her money left. How much did she spend on the table? [?]",
"answer0": "72",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Fraction on table, sofa and left = 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12 = 3/4. So the lamp's $54 = 1 − 3/4 = 1/4 of her money; total = $216. Table = 1/3 × 216 = $72.",
"hints": ["Add the table, sofa and leftover fractions; the rest is the lamp.", "The lamp's $54 equals the leftover fraction, so find the whole, then take 1/3."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $72 (1 part = $54 ÷ 3 = 18; 4 parts = $72). Answer in dollars."
},
{
"n": 10,
"type_id": 2,
"question": "Rectangle ACEH is made up of two identical rectangles, BCDK and KDEF, and two identical squares, ABKJ and JKFH. AC = 21 cm and DE = 6 cm.
(a) Find the area of triangle GKD. [?]
(b) Find the total area of the shaded parts. [?]",
"answer0": "45",
"answer1": "162",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 3,
"explanation": "(a) The base GD relates to AC − DE: 21 − 6 = 15 cm; area of triangle GKD = ½ × 6 × 15 = 45 cm². (b) Area of rectangle ACEH = 21 × 12 = 252 cm². The two unshaded triangles (AKD and GKD) are each 45 cm², so shaded = 252 − 45 − 45 = 162 cm².",
"hints": ["For (a) use ½ × base × height with the height 6 cm.", "For (b) subtract the two unshaded triangles from the whole rectangle's area."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q10",
"image_needed": true,
"image_options": false,
"image_file": "q10.png",
"image_page": 8,
"image_bbox": [0.3, 0.15, 0.72, 0.34],
"image_loc": "rectangle ACEH divided into rectangles and squares with shaded triangles, vertices labelled, upper-middle of the page",
"notes": "Answer key: (a) 45 cm², (b) 162 cm². Both answers in cm²."
},
{
"n": 11,
"type_id": 2,
"question": "A total of 60 light bulbs are set up at an equal distance apart around a rectangular garden ABCD. A light bulb is set up at each corner of the garden. The distance between every two light bulbs is 30 cm.
(a) 17 light bulbs are set up along side DC. Find the length of DC. [?]
(b) How many light bulbs are placed along BC? [?]",
"answer0": "480",
"answer1": "15",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "(a) 17 bulbs along DC make 16 gaps; DC = 16 × 30 = 480 cm. (b) Each pair of opposite sides DC and AB has 17 bulbs (with shared corners). Corners are counted once: 60 − 17 − 17 = 26 bulbs on the two remaining sides; 26 ÷ 2 = 13 interior bulbs per side, plus the 2 corner bulbs gives 13 + 1 + 1 = 15 bulbs along BC.",
"hints": ["For (a) 17 bulbs in a line make 16 equal gaps.", "For (b) remove the bulbs already counted on AB and DC, split the rest between the two short sides, then add the shared corners."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q11",
"image_needed": true,
"image_options": false,
"image_file": "q11.png",
"image_page": 9,
"image_bbox": [0.3, 0.17, 0.74, 0.32],
"image_loc": "rectangular garden ABCD with light bulbs at corners and along the sides, upper-middle of the page",
"notes": "Answer key: (a) 480 cm, (b) 15 light bulbs. (a) in cm, (b) a count."
},
{
"n": 12,
"type_id": 2,
"question": "Daryl and Ben had an equal amount of money at first. Each day, Daryl spent $5.50 and Ben spent $3.20. After some days, Daryl had $95.20 left and Ben had $132 left. How much money did each of them have at first? [?]",
"answer0": "183.20",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "Daryl spends $5.50 − $3.20 = $2.30 more than Ben each day. The gap in money left is $132 − $95.20 = $36.80, so the number of days = 36.80 ÷ 2.30 = 16. Daryl spent 16 × $5.50 = $88, so each started with $88 + $95.20 = $183.20.",
"hints": ["The daily difference in spending builds up the difference in money left.", "Find the number of days, then add Daryl's total spending to his amount left."],
"source": "Ai Tong 2025 P5 Weighted Assessment 2 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $183.20. Answer in dollars."
}
]
}