{ "paper": { "school": "Raffles Girls", "year": 2025, "level": "P5", "label": "Weighted Assessment 2", "source_prefix": "Raffles Girls 2025 P5 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "VWX is a triangle. If the base is VX, the height is _______.", "answer0": "YW", "answer1": "ZX", "answer2": "VW", "answer3": "WX", "correct_answer": 0, "skill_id": 185, "difficulty_id": 2, "explanation": "The height of a triangle is the perpendicular line from the opposite vertex to the base (or the line containing the base). With base VX, the perpendicular drawn from vertex W meets VX at Y, so the height is YW. Answer: YW.", "hints": ["The height is perpendicular to the chosen base.", "From which vertex is the perpendicular to VX drawn? It lands at Y."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q1a", "image_needed": true, "image_options": false, "image_file": "q1.png", "image_page": 2, "image_bbox": [0.35, 0.24, 0.65, 0.42], "image_loc": "triangle VWX with V on the left, W top-right, X bottom-right; dashed perpendiculars ZX (from X to VW at Z) and YW (from W to VX at Y)", "notes": "Answer key (Q1a): YW. Made MCQ because the answer is a label (no word/letter FIB)." }, { "n": 2, "type_id": 2, "question": "DCB is a straight line. Find the area of triangle ABC. [?] cm²", "answer0": "22.5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 2, "explanation": "Take base CB = 9 cm. The height of triangle ABC is the perpendicular AD = 5 cm (since DCB is a straight line and AD is perpendicular to it). Area \\(= \\dfrac{1}{2} \\times 9 \\times 5 = 22.5\\) cm². Answer: 22.5 cm².", "hints": ["Use CB = 9 cm as the base.", "The perpendicular height is AD = 5 cm; area = 1/2 x base x height."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q1b", "image_needed": true, "image_options": false, "image_file": "q2.png", "image_page": 2, "image_bbox": [0.25, 0.55, 0.65, 0.72], "image_loc": "triangle ABC with A top-left, B far right; D-C-B on the base line; labels 5 cm (AD height), 6 cm (AC slant), 3 cm (DC), 9 cm (CB)", "notes": "Answer key (Q1b): 1/2 x 9 x 5 = 22.5 cm²." }, { "n": 3, "type_id": 2, "question": "Find the volume of the cube of side 7 cm. [?] cm³", "answer0": "343", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 190, "difficulty_id": 1, "explanation": "Volume of a cube = side × side × side = \\(7 \\times 7 \\times 7 = 343\\) cm³. Answer: 343 cm³.", "hints": ["Volume of a cube = edge length cubed.", "Compute 7 x 7 x 7."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q2a", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 3, "image_bbox": [0.38, 0.16, 0.58, 0.30], "image_loc": "drawing of a cube labelled 7 cm along the front bottom edge", "notes": "Answer key (Q2a): 7 x 7 x 7 = 343 cm³." }, { "n": 4, "type_id": 2, "question": "The figure shows some cubes in a glass tank. How many more cubes are needed to fill the tank completely? [?]", "answer0": "20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 188, "difficulty_id": 2, "explanation": "The tank holds 5 × 3 × 3 = 45 unit cubes when full. There are already 25 cubes inside. Cubes still needed = 45 - 25 = 20. Answer: 20.", "hints": ["Find the full capacity of the tank in unit cubes (length x breadth x height).", "Subtract the number of cubes already inside (25)."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q2b", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 3, "image_bbox": [0.32, 0.50, 0.58, 0.66], "image_loc": "glass tank partly filled with unit cubes, showing the cube layout", "notes": "Answer key (Q2b): full tank = 5 x 3 x 3 = 45; 45 - 25 = 20. Count-to-verify: 25 cubes already in the tank." }, { "n": 5, "type_id": 1, "question": "Write down a decimal between 6.2 and 6.3.", "answer0": "6.25", "answer1": "6.02", "answer2": "6.32", "answer3": "6.35", "correct_answer": 0, "skill_id": 124, "difficulty_id": 1, "explanation": "A decimal between 6.2 and 6.3 must be greater than 6.2 and less than 6.3, for example 6.25 (or 6.22, 6.21, etc.). Of the options, only 6.25 lies between 6.2 and 6.3. Answer: 6.25.", "hints": ["The value must be larger than 6.2 but smaller than 6.3.", "Adding a hundredths digit between 0 and 9 to 6.2 gives such a number, e.g. 6.25."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q3a", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q3a): 6.22 (any value strictly between 6.2 and 6.3 is accepted). Made MCQ because there are infinitely many correct decimals — an exact-match FIB cannot grade an open answer; chose 6.25 as the unique in-range option." }, { "n": 6, "type_id": 2, "question": "Arrange these decimals from the smallest to the largest: 1.09, 1.609, 1.069 [?], [?], [?]", "answer0": "1.069", "answer1": "1.09", "answer2": "1.609", "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "Compare digit by digit (write to 3 d.p.): 1.069, 1.090, 1.609. Smallest to largest: 1.069, 1.09, 1.609. Answer: 1.069, 1.09, 1.609.", "hints": ["Line up the decimal points and compare the tenths, then hundredths, then thousandths.", "1.069 = 1.069; 1.09 = 1.090; 1.609 = 1.609."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q3b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q3b): 1.069, 1.09, 1.609 (printed key shows '1.069, 109, 1.609' — the '109' is a transcription typo for 1.09). Ordering task entered as FIB with one [?] per position." }, { "n": 7, "type_id": 2, "question": "Convert the following.
(a) 21.5 m = [?] cm
(b) 3 kg 80 g = [?] kg", "answer0": "2150", "answer1": "3.08", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 184, "difficulty_id": 1, "explanation": "(a) 1 m = 100 cm, so 21.5 m = 21.5 × 100 = 2150 cm. (b) 1 kg = 1000 g, so 80 g = 0.08 kg, and 3 kg 80 g = 3.08 kg. Answers: (a) 2150 cm; (b) 3.08 kg.", "hints": ["To convert metres to centimetres, multiply by 100.", "80 g = 0.080 kg, so add it to 3 kg."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q4): (a) 2150 cm; (b) 3.08 kg." }, { "n": 8, "type_id": 2, "question": "Mr Bala bought 4.5 kg of meat. He packed them into smaller bags of 0.15 kg each. How many bags of meat did he pack? [?]", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 2, "explanation": "Number of bags = total mass ÷ mass per bag = 4.5 ÷ 0.15 = 30. Answer: 30 bags.", "hints": ["Divide the total mass by the mass in each bag.", "4.5 ÷ 0.15 is the same as 450 ÷ 15."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q5): 4.5 ÷ 0.15 = 30." }, { "n": 9, "type_id": 2, "question": "The figure shows a solid made up of some 1-cm cubes. How many more cubes must be added to make a solid of 30 cm³? [?]", "answer0": "18", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 188, "difficulty_id": 2, "explanation": "A solid of 30 cm³ contains 30 unit cubes. The figure has 12 cubes. More cubes needed = 30 - 12 = 18. Answer: 18.", "hints": ["A volume of 30 cm³ means 30 unit cubes in total.", "Count the cubes shown (12), then subtract from 30."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q6", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 5, "image_bbox": [0.30, 0.40, 0.60, 0.62], "image_loc": "isometric staircase-like solid built from unit cubes, centre of page", "notes": "Answer key (Q6): 30 - 12 = 18. Count-to-verify: 12 cubes shown in the figure." }, { "n": 10, "type_id": 0, "question": "Nisha built a solid using 10 unit cubes. Draw the top view of the solid on the given square grid.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 188, "difficulty_id": 2, "explanation": "Looking straight down on the solid, shade a square for each cube position seen from above. The answer key shows the correct top-view footprint (an L/plus arrangement) on the grid.", "hints": ["The top view is the shape seen looking straight down.", "Shade one square per visible cube column from above."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q7a", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 6, "image_bbox": [0.18, 0.16, 0.55, 0.33], "image_loc": "isometric drawing of Nisha's solid (10 unit cubes) with Top/Front/Side view labels and its Front view grid to the right", "notes": "Interactive draw-the-top-view task — no app question type (type_id 0; skipped on insert). The numeric part (greatest extra cubes) is a separate FIB entry." }, { "n": 11, "type_id": 2, "question": "Nisha built a solid using 10 unit cubes. Nisha has 4 more unit cubes. What is the greatest number of unit cubes Nisha can add to the solid without changing the top view and front view? [?]", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 188, "difficulty_id": 3, "explanation": "Cubes may only be added in hidden positions that do not change the top view or the front view silhouette. The maximum number of such cubes that can be added is 2. Answer: 2.", "hints": ["Adding a cube must keep both the top view and the front view exactly the same.", "Only hidden positions behind the visible cubes can be filled."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q7b", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 6, "image_bbox": [0.18, 0.16, 0.55, 0.33], "image_loc": "isometric drawing of Nisha's solid (10 unit cubes) — same figure as Q10", "notes": "Answer key (Q7b): 2." }, { "n": 12, "type_id": 2, "question": "ABCD is a square of side 18 m. Find the total area of the shaded parts. [?] m²", "answer0": "162", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 2, "explanation": "Square area = 18 × 18 = 324 m². The two shaded triangles together make up exactly half of the square (each triangle has half the area of its half-rectangle). Total shaded = 324 ÷ 2 = 162 m². Answer: 162 m².", "hints": ["Find the area of the whole square first (18 m x 18 m).", "The shaded triangles together cover half the square."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 7, "image_bbox": [0.33, 0.18, 0.70, 0.46], "image_loc": "square ABCD with E (top middle) and F (bottom middle) marked; two shaded triangles meeting near the centre line EF", "notes": "Answer key (Q8): 18 x 18 = 324; 324 ÷ 2 = 162 m²." }, { "n": 13, "type_id": 2, "question": "The figure is made up of a rectangle ABFG and a square CDEF. AH = HG and GF = FE. Find the area of the shaded part. [?] cm²", "answer0": "252", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 3, "explanation": "The shaded region splits into two triangles. Triangle 1: \\(\\dfrac{1}{2} \\times 12 \\times 32 = 192\\) cm² (base 12 cm = AB along the top, height 32 cm). Triangle 2: \\(\\dfrac{1}{2} \\times 5 \\times 24 = 60\\) cm². Total shaded = 192 + 60 = 252 cm². Answer: 252 cm².", "hints": ["Break the shaded part into two triangles and find each area.", "Add the two triangle areas: 192 + 60."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q9", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 8, "image_bbox": [0.22, 0.24, 0.66, 0.50], "image_loc": "rectangle ABFG with square CDEF attached at lower-right; labels 11 cm (AB), 12 cm (AH), 16 cm (DE); shaded diagonal band from A to E", "notes": "Answer key (Q9): 1/2 x 12 x 32 = 192; 1/2 x 5 x 24 = 60; 192 + 60 = 252 cm²." }, { "n": 14, "type_id": 2, "question": "Tank P is a rectangular tank measuring 30 cm by 24 cm by 18 cm and was \\(\\dfrac{1}{5}\\) filled with water at first. Johan poured another 1.3 ℓ of water into tank P. What was the total volume of water in tank P? Give your answer in litres. [?] L", "answer0": "3.892", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 191, "difficulty_id": 2, "explanation": "Water at first = \\(\\dfrac{1}{5} \\times 30 \\times 24 \\times 18 = 2592\\) cm³ = 2592 ml. Added 1.3 ℓ = 1300 ml. Total = 2592 + 1300 = 3892 ml = 3.892 L. Answer: 3.892 L.", "hints": ["Find 1/5 of the full tank volume (30 x 24 x 18).", "Convert 1.3 L to 1300 ml, add, then convert the total back to litres."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q10a", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 9, "image_bbox": [0.24, 0.16, 0.58, 0.34], "image_loc": "Tank P, a rectangular tank labelled 18 cm (height), 24 cm (depth), 30 cm (width), part-filled with water", "notes": "Answer key (Q10a): 30 x 24 x 18 x 1/5 = 2592; + 1300 = 3892 ml = 3.892 L." }, { "n": 15, "type_id": 2, "question": "Tank P (30 cm by 24 cm by 18 cm) held 3.892 ℓ of water. Tank Q is an empty cubical tank of side 18 cm. Johan poured all the water from tank P into tank Q. How much more water was needed to fill tank Q completely? Leave your answer in litres. [?] L", "answer0": "1.94", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 191, "difficulty_id": 2, "explanation": "Tank Q capacity = 18 × 18 × 18 = 5832 cm³ = 5832 ml. Water poured in = 3892 ml. More needed = 5832 - 3892 = 1940 ml = 1.94 L. Answer: 1.94 L.", "hints": ["Find the full capacity of cubical tank Q (18 x 18 x 18).", "Subtract the water already poured in (3892 ml), then convert to litres."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q10b", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 9, "image_bbox": [0.60, 0.17, 0.82, 0.34], "image_loc": "Tank Q, an empty cube labelled 18 cm along the front bottom edge", "notes": "Answer key (Q10b): 18 x 18 x 18 = 5832; 5832 - 3892 = 1940 ml = 1.94 L." }, { "n": 16, "type_id": 2, "question": "At a bookshop, pencils and erasers are sold only in boxes. A box of 12 pencils costs $9.60 and a box of 7 erasers costs $3.50. Mrs Lee needs to buy 42 pencils and 20 erasers for her art class. What is the least amount of money that she will need to spend on the pencils and erasers? $[?]", "answer0": "48.90", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "Pencils: 42 ÷ 12 = 3 remainder 6, so she needs 3 + 1 = 4 boxes; cost = 4 × $9.60 = $38.40. Erasers: 20 ÷ 7 = 2 remainder 6, so she needs 2 + 1 = 3 boxes; cost = 3 × $3.50 = $10.50. Total least cost = $38.40 + $10.50 = $48.90. Answer: $48.90.", "hints": ["Boxes can't be split, so round each up to the next whole box.", "4 pencil boxes + 3 eraser boxes; add the two costs."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q11a", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 10, "image_bbox": [0.22, 0.13, 0.85, 0.28], "image_loc": "two boxes side by side: a box of 12 pencils labelled '12 pencils for $9.60' and a box of 7 erasers labelled '7 erasers for $3.50'", "notes": "Answer key (Q11a): 42÷12=3R6 → 4 boxes x $9.60 = $38.40; 20÷7=2R6 → 3 boxes x $3.50 = $10.50; total $48.90." }, { "n": 17, "type_id": 2, "question": "At a bookshop, a box of 12 pencils costs $9.60 and a box of 7 erasers costs $3.50; both are sold only in whole boxes. Mr Ali bought 8 more pencils than erasers at the bookshop. The total number of pencils and erasers he bought was fewer than 70. How much did Mr Ali spend on the pencils and erasers altogether? $[?]", "answer0": "42.80", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "Pencils come in 12s, erasers in 7s. Need pencils = erasers + 8 with total fewer than 70. Trying 3 pencil boxes (36 pencils) and 4 eraser boxes (28 erasers): 36 - 28 = 8 ✓ and 36 + 28 = 64 < 70 ✓. Cost = 3 × $9.60 + 4 × $3.50 = $28.80 + $14.00 = $42.80. Answer: $42.80.", "hints": ["Pencils must be a multiple of 12 and erasers a multiple of 7, with pencils 8 more than erasers.", "36 pencils and 28 erasers fit; work out the box costs."], "source": "Raffles Girls 2025 P5 Weighted Assessment 2 Q11b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q11b): $42.80 (36 pencils = 3 boxes, 28 erasers = 4 boxes; 3 x $9.60 + 4 x $3.50 = $42.80)." } ] }