{
"paper": {
"school": "Red Swastika",
"year": 2022,
"level": "P5",
"label": "Weighted Assessment 2",
"source_prefix": "Red Swastika 2022 P5 Weighted Assessment 2",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "What is the missing number in the ratio?
\\(27 : ? = 9 : 21\\)",
"answer0": "81",
"answer1": "63",
"answer2": "3",
"answer3": "7",
"correct_answer": 1,
"skill_id": 181,
"difficulty_id": 1,
"explanation": "\\(9:21\\) simplifies to \\(3:7\\). Scaling by 9: \\(27:63\\). So the missing number is 63.",
"hints": ["Simplify \\(9:21\\) by dividing both by 3.", "\\(27 = 3 \\times 9\\), so multiply the other term \\(7\\) by 9."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 2 (63)."
},
{
"n": 2,
"type_id": 1,
"question": "What is 80% of 40?",
"answer0": "12",
"answer1": "32",
"answer2": "50",
"answer3": "200",
"correct_answer": 1,
"skill_id": 174,
"difficulty_id": 1,
"explanation": "\\(80\\% \\times 40 = \\dfrac{80}{100} \\times 40 = 32\\).",
"hints": ["\\(80\\% = \\dfrac{80}{100}\\).", "Multiply the fraction by 40."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 2 (32)."
},
{
"n": 3,
"type_id": 1,
"question": "Express 65.09 km in kilometres and metres.",
"answer0": "65 km 9 m",
"answer1": "65 km 90 m",
"answer2": "65 km 900 m",
"answer3": "650 km 90 m",
"correct_answer": 1,
"skill_id": 184,
"difficulty_id": 1,
"explanation": "\\(1\\) km \\(= 1000\\) m. \\(0.09\\) km \\(= 0.09 \\times 1000 = 90\\) m. So \\(65.09\\) km \\(= 65\\) km \\(90\\) m.",
"hints": ["The whole number part is the kilometres.", "Convert the decimal part to metres by multiplying by 1000."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 2 (65 km 90 m)."
},
{
"n": 4,
"type_id": 1,
"question": "Find the volume of water in the tank.",
"answer0": "1000 cm³",
"answer1": "10 000 cm³",
"answer2": "30 000 cm³",
"answer3": "40 000 cm³",
"correct_answer": 2,
"skill_id": 191,
"difficulty_id": 2,
"explanation": "The water height is \\(30\\) cm (the tank is \\(30+10=40\\) cm tall but filled to 30 cm). Volume of water \\(= 50 \\times 20 \\times 30 = 30\\,000\\) cm³.",
"hints": ["Volume of liquid = length × breadth × height of water.", "The water height is 30 cm, not the full 40 cm."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q4",
"image_needed": true,
"image_options": false,
"image_file": "q4.png",
"image_page": 2,
"image_bbox": [0.30, 0.16, 0.66, 0.33],
"image_loc": "open-top rectangular tank with water, top of page; dimensions 10 cm (empty), 30 cm (water), 50 cm length, 20 cm depth",
"notes": "Answer key: option 3 (30 000 cm³)."
},
{
"n": 5,
"type_id": 1,
"question": "The length of one side of a cube is 6 cm. Find the volume of the cube.",
"answer0": "24 cm³",
"answer1": "36 cm³",
"answer2": "144 cm³",
"answer3": "216 cm³",
"correct_answer": 3,
"skill_id": 190,
"difficulty_id": 1,
"explanation": "Volume of a cube \\(= \\text{side}^3 = 6 \\times 6 \\times 6 = 216\\) cm³.",
"hints": ["Volume of a cube = side × side × side.", "\\(6 \\times 6 = 36\\), then \\(36 \\times 6\\)."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q5",
"image_needed": true,
"image_options": false,
"image_file": "q5.png",
"image_page": 2,
"image_bbox": [0.36, 0.45, 0.56, 0.56],
"image_loc": "cube labelled 6 cm, middle of page",
"notes": "Answer key: option 4 (216 cm³). Figure is decorative; side length given in stem."
},
{
"n": 6,
"type_id": 1,
"question": "A piece of ribbon was 1.88 m long. Ms Tan cut off 0.74 m of the ribbon to tie a present. She then used the remaining ribbon to make 20 identical keychains. Find the length of ribbon used to make one keychain.",
"answer0": "0.057 m",
"answer1": "0.131 m",
"answer2": "0.57 m",
"answer3": "1.14 m",
"correct_answer": 0,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Remaining ribbon \\(= 1.88 - 0.74 = 1.14\\) m. Each keychain uses \\(1.14 \\div 20 = 0.057\\) m.",
"hints": ["First find the ribbon left after the cut.", "Divide the remaining length by 20."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 1 (0.057 m)."
},
{
"n": 7,
"type_id": 1,
"question": "Mabel formed a solid using identical cubes. Which of the following shows the front view of the solid?",
"answer0": "Figure 1",
"answer1": "Figure 2",
"answer2": "Figure 3",
"answer3": "Figure 4",
"correct_answer": 0,
"skill_id": 187,
"difficulty_id": 2,
"explanation": "Looking from the front, the solid shows a column of two cubes on the left rising above a base row, giving an L-shape: two stacked cubes with two cubes extending to the right at the bottom. This matches Figure 1.",
"hints": ["Imagine looking straight at the front; ignore depth.", "Count how tall the tallest stack is and how wide the base row is."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q7",
"image_needed": true,
"image_options": true,
"image_file": "q7.png",
"image_page": 3,
"image_bbox": [0.27, 0.18, 0.62, 0.33],
"image_loc": "isometric cube solid with 'Front view' arrow, upper-middle of page; the four option figures are the grid shapes below labelled (1)-(4)",
"notes": "Answer key: option 1. Options are picture grids; crop each option q7_opt0..3.png from the row of four shapes below the solid (page 3). opt0 (Fig 1) = L-shape: 2-high left column + bottom row of two. Answer = opt0."
},
{
"n": 8,
"type_id": 1,
"question": "The figure is made up of four rectangles A, B, C and D. The ratio of the area of rectangle B to the area of rectangle C is 3 : 2. The area of rectangle D is 36 cm², find the area of rectangle A.",
"answer0": "12 cm²",
"answer1": "18 cm²",
"answer2": "24 cm²",
"answer3": "54 cm²",
"correct_answer": 3,
"skill_id": 183,
"difficulty_id": 3,
"explanation": "B:C = 3:2, so B and C share the same width; the height of B to C is 3:2. A and D share the same width as B and C respectively across the figure. A sits above D and has the same height ratio as B above C. Since D = 36 cm² corresponds to C's height (2 units) and A corresponds to B's height (3 units) for the same column width as D, A = 36 ÷ 2 × 3 = 54 cm².",
"hints": ["A and B share the same height (top row); D and C share the same height (bottom row).", "A and D share the same width, so area ratio A:D = 3:2."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"image_bbox": [0.29, 0.56, 0.63, 0.68],
"image_page": 3,
"image_loc": "2x2 grid of rectangles labelled A B (top) and D C (bottom), middle of page",
"notes": "Answer key: option 4 (54 cm²). A:D height ratio equals B:C = 3:2; A = 36 ÷ 2 × 3 = 54."
},
{
"n": 9,
"type_id": 1,
"question": "The usual price of a television set was $2000. John bought the television set at a discount of 20%. However, he had to pay 7% GST. How much did John pay for the television set?",
"answer0": "$ 1460",
"answer1": "$ 1712",
"answer2": "$ 1740",
"answer3": "$ 2140",
"correct_answer": 1,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "Discounted price \\(= 2000 \\times 80\\% = 1600\\). With 7% GST: \\(1600 \\times 1.07 = 1712\\). John paid $1712.",
"hints": ["A 20% discount means you pay 80% of $2000.", "Add 7% GST to the discounted price."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Printed answer key shows option 1 ($1460), but that is mathematically wrong: 2000×0.8×1.07 = 1712 = option 2. Used the correct value (option 2). Flagging key typo."
},
{
"n": 10,
"type_id": 1,
"question": "A pen and an eraser cost $1.50. Min Yi paid $18 for 15 pens and 10 erasers. Jun Jie bought 3 erasers. Find the amount Jun Jie paid.",
"answer0": "$ 0.90",
"answer1": "$ 1.80",
"answer2": "$ 2.70",
"answer3": "$ 3.00",
"correct_answer": 2,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "10 pens + 10 erasers cost \\(10 \\times 1.50 = 15\\). Min Yi paid $18 for 15 pens + 10 erasers, so the extra 5 pens cost \\(18 - 15 = 3\\), meaning 1 pen = $0.60. Then 1 eraser \\(= 1.50 - 0.60 = 0.90\\). 3 erasers \\(= 3 \\times 0.90 = 2.70\\).",
"hints": ["1 pen + 1 eraser = $1.50, so 10 pens + 10 erasers = $15.", "The extra 5 pens account for $18 − $15 = $3, giving the pen price; then find the eraser price."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 ($2.70)."
},
{
"n": 11,
"type_id": 2,
"question": "How many cubes are used to form the solid? [?]",
"answer0": "12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 188,
"difficulty_id": 2,
"explanation": "Count the cubes: the two tall stacks (3 cubes each = 6), the base row connecting them, and the lower extension. Total = 12 cubes (per answer key).",
"hints": ["Count the hidden cubes supporting the upper layers.", "Add column by column."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q11",
"image_needed": true,
"image_options": false,
"image_file": "q11.png",
"image_page": 5,
"image_bbox": [0.27, 0.25, 0.68, 0.45],
"image_loc": "isometric solid built from unit cubes, two tall stacks on left and a stepped lower row on right, middle of page",
"notes": "Answer key: 12 cubes. Count-to-verify: figure must show whole solid including hidden support cubes."
},
{
"n": 12,
"type_id": 2,
"question": "Find the value of:
(a) \\(1.048 \\times 300 =\\) [?]
(b) \\(9028 \\text{ cm} =\\) [?] m",
"answer0": "314.4",
"answer1": "90.28",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 166,
"difficulty_id": 2,
"explanation": "(a) \\(1.048 \\times 300 = 1.048 \\times 3 \\times 100 = 3.144 \\times 100 = 314.4\\).
(b) \\(1\\) m \\(= 100\\) cm, so \\(9028 \\div 100 = 90.28\\) m.",
"hints": ["(a) Multiply by 3 first, then by 100.", "(b) Divide centimetres by 100 to get metres."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: (a) 314.4 (b) 90.28 m. Two numeric blanks."
},
{
"n": 13,
"type_id": 2,
"question": "Tank A, a cubical tank of side 9 cm, was fully filled with water. Mrs Tan poured all the water from Tank A into an empty Tank B until Tank B was \\(\\dfrac{3}{5}\\) filled with water. What was the capacity of Tank B? [?]",
"answer0": "1215",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 193,
"difficulty_id": 2,
"explanation": "Volume of water from Tank A \\(= 9 \\times 9 \\times 9 = 729\\) cm³. This is \\(\\dfrac{3}{5}\\) of Tank B, so \\(\\dfrac{1}{5}\\) of Tank B \\(= 729 \\div 3 = 243\\) cm³. Capacity of Tank B \\(= 243 \\times 5 = 1215\\) cm³.",
"hints": ["Find the water volume from the cube: side³.", "729 cm³ is 3/5 of Tank B; find 1/5, then the whole."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q13",
"image_needed": true,
"image_options": false,
"image_file": "q13.png",
"image_page": 6,
"image_bbox": [0.25, 0.20, 0.72, 0.32],
"image_loc": "cubical Tank A (9 cm) with arrow pouring into larger cuboid Tank B, upper-middle of page",
"notes": "Answer key: 1215 cm³. Unit cm³ shown in answer line; FIB answer numeric 1215."
},
{
"n": 14,
"type_id": 2,
"question": "Ali, Bob and Charles cycled a total distance of 25.2 km during a trip. Ali cycled 0.4 km less than Bob. Charles cycled twice the distance of what Bob cycled. Find the distance Ali cycled. [?]",
"answer0": "6",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "Let Bob = 1 unit. Ali = unit − 0.4. Charles = 2 units. Total = 4 units − 0.4 = 25.2, so 4 units = 25.6, 1 unit (Bob) = 6.4 km. Ali = 6.4 − 0.4 = 6 km.",
"hints": ["Express Ali and Charles in terms of Bob's distance.", "Add the 0.4 km back to the total before dividing into units."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key working: 0.4×3=1.2; 25.2−1.2=24; 24÷4=6 km. Ali = 6 km. Unit km shown on answer line."
},
{
"n": 15,
"type_id": 1,
"question": "The figure consists of 2 squares. The ratio of the area of square A to the area of square B is 3 : 1. Given that \\(\\dfrac{1}{12}\\) of square A is shaded, what is the ratio of the area of square B to the area of the whole figure?",
"answer0": "\\(4 : 15\\)",
"answer1": "\\(1 : 3\\)",
"answer2": "\\(1 : 4\\)",
"answer3": "\\(4 : 13\\)",
"correct_answer": 0,
"skill_id": 183,
"difficulty_id": 3,
"explanation": "Area A : Area B = 3 : 1, so let A = 12 units, B = 4 units. The shaded part is \\(\\dfrac{1}{12}\\) of A = 1 unit, and it is the overlap. Whole figure = A + B − overlap = 12 + 4 − 1 = 15 units. So square B : whole figure = 4 : 15.",
"hints": ["Let A = 12 units so that 1/12 of A is a whole unit; then B = 4 units.", "The overlap (shaded) is counted once: whole = A + B − overlap."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q15",
"image_needed": true,
"image_options": false,
"image_file": "q15.png",
"image_page": 7,
"image_bbox": [0.27, 0.21, 0.48, 0.32],
"image_loc": "two overlapping squares A (large) and B (small) with a shaded overlap strip, upper-left of page",
"notes": "Answer is a ratio, so MCQ (not FIB). Answer key: 4:15 = option 1. Distractors are plausible ratios."
},
{
"n": 16,
"type_id": 2,
"question": "Mr Lim baked a total of 1200 tuna pies and chicken pies. He sold 80% of the pies. 60% of the pies sold were chicken pies. There were 40 chicken pies left unsold. How many chicken pies did Mr Lim bake? [?]",
"answer0": "616",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 175,
"difficulty_id": 3,
"explanation": "Pies sold \\(= 80\\% \\times 1200 = 960\\). Chicken pies sold \\(= 60\\% \\times 960 = 576\\). Chicken pies baked \\(= 576 + 40\\) unsold \\(= 616\\).",
"hints": ["Find the total pies sold first (80% of 1200).", "Find chicken pies sold (60% of that), then add the 40 unsold chicken pies."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q16",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 616 chicken pies."
},
{
"n": 17,
"type_id": 2,
"question": "The ratio of the number of cars to the number of motorcycles at a carpark is 3 : 4. Each motorcycle has 2 wheels and each car has 4 wheels. There are 800 wheels altogether. How many motorcycles are there? [?]",
"answer0": "160",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 183,
"difficulty_id": 3,
"explanation": "Cars : motorcycles = 3 : 4. One 'set' = 3 cars + 4 motorcycles = \\(3 \\times 4 + 4 \\times 2 = 12 + 8 = 20\\) wheels. Number of sets \\(= 800 \\div 20 = 40\\). Motorcycles \\(= 40 \\times 4 = 160\\).",
"hints": ["Work out the number of wheels in one ratio set (3 cars + 4 motorcycles).", "Divide 800 by the wheels per set, then multiply by 4 motorcycles per set."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q17",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 160 motorcycles."
},
{
"n": 18,
"type_id": 2,
"question": "Hwee Ling had $6000. She spent 30% of her money and saved the remaining amount in her bank account. The bank paid an interest of 2% at the end of each year. How much interest did Hwee Ling earn at the end of one year? [?]",
"answer0": "84",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "Remaining after spending 30% = 70% of $6000 = \\(\\dfrac{70}{100} \\times 6000 = 4200\\). Interest = 2% of $4200 = \\(\\dfrac{2}{100} \\times 4200 = 84\\). She earned $84.",
"hints": ["She saved 70% of $6000.", "Interest = 2% of the saved amount."],
"source": "Red Swastika 2022 P5 Weighted Assessment 2 Q18",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $84. Money answer entered as 84 (FIB numeric)."
}
]
}