{ "paper": { "school": "Red Swastika", "year": 2025, "level": "P5", "label": "Weighted Assessment 2", "source_prefix": "Red Swastika 2025 P5 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the value of the digit 8 in 85 374?", "answer0": "80", "answer1": "800", "answer2": "8000", "answer3": "80 000", "correct_answer": 3, "skill_id": 149, "difficulty_id": 1, "explanation": "In 85 374 the digit 8 is in the ten-thousands place, so its value is 8 × 10 000 = 80 000. Answer: 80 000.", "hints": ["Identify which place the digit 8 occupies.", "8 is in the ten-thousands position."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q1): option 4 (80 000). Cover sheet titles this 'Class Test (2)'; school answer key labels it 'Weighted Assessment 2'." }, { "n": 2, "type_id": 1, "question": "Arrange from the largest to the smallest: 0.7, 0.77, 0.707", "answer0": "0.7, 0.707, 0.77", "answer1": "0.77, 0.707, 0.7", "answer2": "0.77, 0.7, 0.707", "answer3": "0.707, 0.77, 0.7", "correct_answer": 1, "skill_id": 124, "difficulty_id": 2, "explanation": "Write to 3 d.p.: 0.700, 0.770, 0.707. Largest to smallest: 0.77, 0.707, 0.7. Answer: 0.77, 0.707, 0.7.", "hints": ["Compare the hundredths and thousandths digits.", "0.770 > 0.707 > 0.700."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q2): option 2 (0.77, 0.707, 0.7)." }, { "n": 3, "type_id": 1, "question": "A rectangular glass tank is partially filled with unit cubes. How many more unit cubes are needed to fill the glass tank completely?", "answer0": "26", "answer1": "36", "answer2": "44", "answer3": "54", "correct_answer": 2, "skill_id": 188, "difficulty_id": 2, "explanation": "Work out the full capacity of the tank in unit cubes (length × breadth × height) and subtract the cubes already inside. The answer key gives 44 cubes still needed. Answer: 44.", "hints": ["Find the tank's full capacity in unit cubes.", "Subtract the cubes already inside the tank."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 2, "image_bbox": [0.40, 0.10, 0.62, 0.28], "image_loc": "rectangular glass tank partly filled with unit cubes, top of page", "notes": "Answer key (Q3): option 3 (44). Count-to-verify: full capacity minus the cubes shown = 44." }, { "n": 4, "type_id": 1, "question": "Tank X is a cubical tank which is half filled with water. The height of water in tank X is 10 cm. Tank Y is a rectangular tank that is filled with water to a height of 5 cm. The length of tank Y is twice that of tank X. The breadth and height of both tanks are the same. Find the total volume of water in both tanks.", "answer0": "2000 cm³", "answer1": "4000 cm³", "answer2": "6000 cm³", "answer3": "8000 cm³", "correct_answer": 3, "skill_id": 190, "difficulty_id": 3, "explanation": "Tank X is a cube half-filled to 10 cm, so the cube's edge = 20 cm; water in X = 20 × 20 × 10 = 4000 cm³. Tank Y has length 2 × 20 = 40 cm, breadth 20 cm, water height 5 cm; water in Y = 40 × 20 × 5 = 4000 cm³. Total = 4000 + 4000 = 8000 cm³. Answer: 8000 cm³.", "hints": ["Tank X is a cube; water at half height 10 cm means the edge is 20 cm.", "Tank Y's length is twice 20 cm; add the two water volumes."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 2, "image_bbox": [0.20, 0.55, 0.78, 0.70], "image_loc": "Tank X (cube, water to 10 cm) on the left and Tank Y (wider rectangular tank, water to 5 cm) on the right", "notes": "Answer key (Q4): option 4 (8000 cm³)." }, { "n": 5, "type_id": 1, "question": "Class Y had 50 more children than class X. There were 10 more boys in class Y than class X. Given that there were 30 more girls than boys in class X, find the difference in the number of girls and boys in class Y.", "answer0": "10", "answer1": "40", "answer2": "60", "answer3": "70", "correct_answer": 2, "skill_id": 152, "difficulty_id": 3, "explanation": "Class Y has 50 more children but only 10 more boys, so it has 50 - 10 = 40 more girls than class X. In class X girls exceed boys by 30. In class Y the girl-boy difference = 30 + (40 extra girls) - (10 extra boys) = 30 + 30 = 60. Answer: 60.", "hints": ["Class Y has 40 more girls than X (50 more children minus 10 more boys).", "Start from X's gap of 30, then adjust for the extra girls and extra boys in Y."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q5): option 3 (60)." }, { "n": 6, "type_id": 2, "question": "(a) Write fifteen thousand and three in numerals. [?]
(b) Find the value of 900.6 ÷ 30. [?]", "answer0": "15003", "answer1": "30.02", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 149, "difficulty_id": 1, "explanation": "(a) Fifteen thousand and three = 15 003. (b) 900.6 ÷ 30 = 30.02. Answers: (a) 15003; (b) 30.02.", "hints": ["Fifteen thousand is 15 000; add three.", "Divide 900.6 by 30: 900 ÷ 30 = 30, and 0.6 ÷ 30 = 0.02."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q6): (a) 15003; (b) 30.02." }, { "n": 7, "type_id": 2, "question": "Mrs Chen had 3.008 ℓ of juice at first. She drank 640 ml of it. How many litres of juice was left? [?] L", "answer0": "2.368", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 184, "difficulty_id": 2, "explanation": "3.008 ℓ = 3008 ml. After drinking 640 ml: 3008 - 640 = 2368 ml = 2.368 L. Answer: 2.368 L.", "hints": ["Convert 3.008 L to millilitres (3008 ml).", "Subtract 640 ml, then convert back to litres."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q7): 3.008 L = 3008 ml; 3008 - 640 = 2368 ml = 2.368 L." }, { "n": 8, "type_id": 1, "question": "(a) Round 13.584 to the nearest tenth. (b) A whole number when rounded off to the nearest ten is 10 000. What could the number be?", "answer0": "(a) 13.6; (b) 9995", "answer1": "(a) 13.5; (b) 9995", "answer2": "(a) 13.6; (b) 9994", "answer3": "(a) 13.58; (b) 10006", "correct_answer": 0, "skill_id": 168, "difficulty_id": 2, "explanation": "(a) 13.584 to the nearest tenth: the hundredths digit is 8 (≥5), so round up to 13.6. (b) A whole number rounding to 10 000 (nearest ten) lies from 9995 to 10 004; 9995 is one valid value. Answers: (a) 13.6; (b) any whole number 9995 to 10 004 (e.g. 9995).", "hints": ["For (a) look at the hundredths digit to round the tenths.", "For (b) the number must be within 5 of 10 000 in the rounding range 9995-10004."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q8): (a) 13.6; (b) 9995 ≤ number ≤ 10004. Made MCQ because part (b) has a range of correct answers (open-ended), which an exact-match FIB cannot grade; the correct option pairs 13.6 with a valid in-range value (9995)." }, { "n": 9, "type_id": 2, "question": "(a) Find the largest multiple of 7 that is smaller than 60. [?]
(b) Mrs Devi wanted to pack 18 blue pens and 12 green pens equally into as many boxes as possible. Each box has the same total number of pens. The number of green pens in each box is the same. How many blue pens are there in each box? [?]", "answer0": "56", "answer1": "3", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 2, "explanation": "(a) Multiples of 7: ..., 49, 56, 63. The largest below 60 is 56. (b) The most boxes possible = greatest common factor of 18 and 12 = 6 boxes. Blue pens per box = 18 ÷ 6 = 3. Answers: (a) 56; (b) 3.", "hints": ["For (a), 7 x 8 = 56 and 7 x 9 = 63.", "For (b), use the greatest common factor of 18 and 12 (which is 6) for the number of boxes."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q9): (a) 56; (b) 3." }, { "n": 10, "type_id": 2, "question": "A rectangular tank has a square base with sides 6 m each. The height of the tank is 10 m. It contained 300 m³ of water at first. Mr Raju used 80 m³ of water.
(a) Find the capacity of the tank. [?] m³
(b) How much more water is needed to fill the tank completely? [?] m³", "answer0": "360", "answer1": "140", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 190, "difficulty_id": 2, "explanation": "(a) Capacity = 6 × 6 × 10 = 360 m³. (b) Water left after Mr Raju used 80 m³ = 300 - 80 = 220 m³. More water needed = 360 - 220 = 140 m³. Answers: (a) 360 m³; (b) 140 m³.", "hints": ["Capacity = base area x height = 6 x 6 x 10.", "Find the water remaining (300 - 80), then subtract from the capacity."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q10): (a) 6 x 6 x 10 = 360 m³; (b) 300 - 80 = 220; 360 - 220 = 140 m³." }, { "n": 11, "type_id": 2, "question": "Mdm Kim had a roll of ribbon. She wanted to cut the roll of ribbon into 6 equal pieces but found out that she was short of 0.2 m. The length of each piece of ribbon that Mdm Kim wanted to cut was 40 cm.
(a) Find the total length of the 6 pieces of ribbon in metres. [?] m
(b) Find the length of the roll of ribbon that Mdm Kim had in metres. [?] m", "answer0": "2.4", "answer1": "2.2", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 184, "difficulty_id": 2, "explanation": "(a) Total of 6 pieces = 6 × 40 cm = 240 cm = 2.4 m. (b) She was short of 0.2 m (20 cm), so the roll she had = 240 - 20 = 220 cm = 2.2 m. Answers: (a) 2.4 m; (b) 2.2 m.", "hints": ["Multiply 40 cm by 6, then convert to metres.", "She was short by 0.2 m, so subtract 0.2 m from the wanted total."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q11): (a) 240 cm = 2.4 m; (b) 240 - 20 = 220 cm = 2.2 m. The printed key wrote '220 m' for (b), a unit slip — the correct value is 2.2 m (220 cm)." }, { "n": 12, "type_id": 2, "question": "Siti had 20 more stickers than Tom. After Tom gave 8 of his stickers to Siti, she had three times as many stickers as Tom. How many stickers did Tom have at first? [?]", "answer0": "18", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "After Tom gives away 8, the gap between Siti and Tom grows by 16 to 20 + 16 = 36. At that point Siti = 3 × Tom, so Siti - Tom = 2 units = 36, meaning Tom (after giving) = 18. Tom at first = 18 + 8 = 26. Answer: 26.", "hints": ["Giving 8 away increases Siti's lead by 16 (8 less for Tom, 8 more for Siti).", "After the gift Siti is 3 times Tom; the difference is 2 'units'."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q12): 28+8=36 (gap after); 36-18=18 (Tom after giving); 18+8=26 (Tom at first). Final answer = 26 stickers." }, { "n": 13, "type_id": 1, "question": "The tables show the parking charges of two car parks A and B which are near each other. Car Park A charges $2.50 for the first hour and $1.00 for every additional \\(\\dfrac{1}{2}\\) hour or part thereof. Car Park B is free for the first hour and charges $1.20 for every additional \\(\\dfrac{1}{2}\\) hour or part thereof. Mr Hashim needed to park his car from 1:00 pm to 3:15 pm. Where should he park so that he would pay less, and how much less would he have paid?", "answer0": "Car Park B, $1.90 less", "answer1": "Car Park A, $1.90 less", "answer2": "Car Park B, $0.50 less", "answer3": "Car Park A, $1.20 less", "correct_answer": 0, "skill_id": 167, "difficulty_id": 3, "explanation": "Duration = 2 h 15 min = first hour + 1 h 15 min extra = first hour + 3 half-hour blocks (part thereof). Car Park A: $2.50 + 3 × $1.00 = $5.50. Car Park B: free first hour + 3 × $1.20 = $3.60. Car Park B is cheaper; saving = $5.50 - $3.60 = $1.90. Answer: Car Park B, $1.90 less.", "hints": ["1 h 15 min beyond the first hour needs 3 half-hour blocks (part thereof counts as a full block).", "Work out each car park's charge, then find the difference."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q13): Carpark B; $1.90. Made MCQ because the answer combines a name (Car Park B) with a money amount." }, { "n": 14, "type_id": 2, "question": "Kate glued 10 cubes of side 2 cm to form a solid. The side view is shown. Find the volume of one of the 2-cm cubes. [?] cm³", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 190, "difficulty_id": 2, "explanation": "Each glued cube has side 2 cm, so its volume = 2 × 2 × 2 = 8 cm³. Answer: 8 cm³.", "hints": ["Volume of a cube = edge x edge x edge.", "Each small cube has edge 2 cm."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q14a", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 9, "image_bbox": [0.28, 0.25, 0.78, 0.40], "image_loc": "isometric drawing of Kate's solid (10 cubes, Top/Front/Side view labels) and its Side view grid to the right", "notes": "Answer key (Q14a): 2 x 2 x 2 = 8 cm³ (volume of one 2-cm cube). The full-solid volume would be 10 x 8 = 80 cm³ but the key answers the single-cube volume." }, { "n": 15, "type_id": 0, "question": "Kate glued 10 cubes of side 2 cm to form a solid. On the square grid, draw the top view of the solid.", "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 column visible from above. The answer key shows the correct top-view footprint on the grid.", "hints": ["The top view is what you see looking straight down.", "Shade one square per cube column visible from the top."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q14b", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 9, "image_bbox": [0.28, 0.25, 0.62, 0.40], "image_loc": "isometric drawing of Kate's solid (same figure as Q14)", "notes": "Interactive draw-the-top-view task — no app question type (type_id 0; skipped on insert)." }, { "n": 16, "type_id": 2, "question": "Kate glued 10 cubes of side 2 cm to form a solid. Find the greatest number of 2-cm cubes Kate can add to the solid without changing the top view and side view. [?]", "answer0": "6", "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 keep both the top view and side view silhouettes unchanged. The maximum number of such cubes that can be added is 6. Answer: 6.", "hints": ["Adding a cube must not change the top view or the side view.", "Fill only the hidden positions behind the visible cubes."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q14c", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 9, "image_bbox": [0.28, 0.25, 0.62, 0.40], "image_loc": "isometric drawing of Kate's solid (same figure as Q14)", "notes": "Answer key (Q14c): 6." }, { "n": 17, "type_id": 2, "question": "A tank contained some water at first. Ken turned on tap A to let water flow in. 10 minutes later, Ken turned on tap B to let water flow out. After a while, both taps were turned off at the same time. The graph shows the amount of water in the tank over 30 minutes. The volume started at 15 ℓ, rose to 35 ℓ at 10 minutes, then fell to 10 ℓ at 20 minutes and stayed at 10 ℓ. How much water was there in the tank at first? Express your answer in cubic centimetres. [?] cm³", "answer0": "15000", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 192, "difficulty_id": 2, "explanation": "From the graph the tank started with 15 ℓ. 1 ℓ = 1000 cm³, so 15 ℓ = 15 × 1000 = 15 000 cm³. Answer: 15 000 cm³.", "hints": ["Read the starting value off the graph at time 0 (15 litres).", "Convert litres to cubic centimetres: 1 L = 1000 cm³."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q15a", "image_needed": true, "image_options": false, "image_file": "q17.png", "image_page": 10, "image_bbox": [0.50, 0.18, 0.85, 0.38], "image_loc": "line graph of Volume of water (ℓ) against Time (mins): starts at 15, peaks at 35 at 10 min, falls to 10 at 20 min, flat to 30 min", "notes": "Answer key (Q15a): 15000 cm³ (15 ℓ at the start)." }, { "n": 18, "type_id": 2, "question": "A tank contained some water at first. Ken turned on tap A to let water flow in. 10 minutes later, Ken turned on tap B to let water flow out. The graph shows the water rising from 15 ℓ to 35 ℓ over the first 10 minutes (only tap A on). How many litres of water flow into the tank from tap A in 1 minute? [?] L", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 192, "difficulty_id": 2, "explanation": "In the first 10 minutes only tap A is on; the water rose from 15 ℓ to 35 ℓ, an increase of 20 ℓ. Rate of tap A = 20 ÷ 10 = 2 ℓ per minute. Answer: 2 L.", "hints": ["Use the first 10 minutes when only tap A is flowing.", "Increase in water (20 L) divided by the time (10 min)."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q15b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q15b): 35 - 15 = 20; 20 ÷ 10 = 2 ℓ/min." }, { "n": 19, "type_id": 2, "question": "A tank contained some water at first. Tap A flows in at 2 ℓ per minute. From minute 10 to minute 20, both taps A and B are on and the water falls from 35 ℓ to 10 ℓ. How many litres of water flow out of the tank from tap B in 1 minute? [?] L", "answer0": "4.5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 192, "difficulty_id": 3, "explanation": "From minute 10 to 20 (10 minutes) the net change = 35 - 10 = 25 ℓ decrease, so net rate = 2.5 ℓ/min out. During this time tap A still adds 2 ℓ/min in. So tap B outflow = net out + tap A inflow = 2.5 + 2 = 4.5 ℓ/min. Answer: 4.5 L.", "hints": ["Net change from 10 to 20 min is a drop of 25 L over 10 min = 2.5 L/min net out.", "Tap A is still adding 2 L/min, so tap B must remove 2.5 + 2 L/min."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q15c", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q15c): 35 - 15 = 20; 20 ÷ 10 = 2 (tap A); 35 + 20 = 55; 55 - 10 = 45; 45 ÷ 10 = 4.5 ℓ/min (tap B outflow)." }, { "n": 20, "type_id": 1, "question": "In shop XYZ, a small pack of rice costs $8.50 and a large pack of rice costs $12. Alice and Benson bought the same total number of packs of rice. Alice bought a number of small packs and 5 large packs. Benson bought a number of small packs and 15 large packs. Who bought more small packs of rice, and how many more?", "answer0": "Alice, 10 more", "answer1": "Benson, 10 more", "answer2": "Alice, 5 more", "answer3": "Benson, 15 more", "correct_answer": 0, "skill_id": 152, "difficulty_id": 2, "explanation": "Both bought the same total number of packs. Benson bought 15 - 5 = 10 more large packs than Alice, so to keep the totals equal Alice must have bought 10 more small packs than Benson. Answer: Alice, 10 more.", "hints": ["Benson bought 10 more large packs than Alice.", "Equal totals mean Alice makes up the difference with 10 more small packs."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q16a", "image_needed": true, "image_options": false, "image_file": "q20.png", "image_page": 11, "image_bbox": [0.38, 0.10, 0.66, 0.24], "image_loc": "two rice sacks: a Small Pack labelled $8.50 and a larger Large Pack labelled $12", "notes": "Answer key (Q16a): 15 - 5 = 10; name: Alice, 10 more. Made MCQ because the answer combines a name with a count." }, { "n": 21, "type_id": 2, "question": "In shop XYZ, a small pack of rice costs $8.50 and a large pack of rice costs $12. Alice and Benson bought the same total number of packs. Alice bought some small packs and 5 large packs; Benson bought some small packs and 15 large packs (Alice bought 10 more small packs than Benson). Benson spent more money at the shop. How much more did Benson spend? $[?]", "answer0": "35", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "Compared with Alice, Benson bought 10 more large packs and 10 fewer small packs. Extra cost from the large packs = 10 × $12 = $120. Saving from buying 10 fewer small packs = 10 × $8.50 = $85. Net extra spent by Benson = $120 - $85 = $35. Answer: $35 (Benson spent more).", "hints": ["Benson has 10 more large packs (+$12 each) but 10 fewer small packs (-$8.50 each).", "Net difference = 10 x $12 - 10 x $8.50."], "source": "Red Swastika 2025 P5 Weighted Assessment 2 Q16b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (Q16b): 8.5 x 10 = 85; 12 x 10 = 120; 120 - 85 = 35; Name: Benson, $35 more." } ] }