{
  "paper": {
    "school": "Red Swastika",
    "year": 2023,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Red Swastika 2023 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which ratio is the same as 2 : 3?",
      "answer0": "4 : 8",
      "answer1": "6 : 8",
      "answer2": "12 : 15",
      "answer3": "10 : 15",
      "correct_answer": 3,
      "skill_id": 178,
      "difficulty_id": 1,
      "explanation": "Method: multiply both terms of 2 : 3 by the same number. 2 : 3 = (2x5) : (3x5) = 10 : 15. So the equivalent ratio is 10 : 15.",
      "hints": ["Equivalent ratios are found by multiplying both numbers by the same value.", "Try multiplying 2 : 3 by 5."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 4 (= index 3)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the missing number in the blank.<br>\\(\\square\\) : 24 = 8 : 6",
      "answer0": "18",
      "answer1": "32",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 1,
      "skill_id": 181,
      "difficulty_id": 1,
      "explanation": "Method: find the multiplier between the matching terms. 24 = 6 x 4, so the second ratio's terms are 4 times the first. Therefore the missing term = 8 x 4 = 32. Check: 32 : 24 = 8 : 6.",
      "hints": ["Compare the second terms: 24 and 6.", "24 = 6 x 4, so multiply 8 by 4."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2 (= index 1). Stem blank shown as a box; not an FIB because it is an MCQ."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "There are 12 boys, 20 girls and 8 adults in a party. What is the ratio of the number of boys to the number of girls to the number of adults? Express the answer in the simplest form.",
      "answer0": "3 : 5 : 2",
      "answer1": "6 : 5 : 2",
      "answer2": "3 : 10 : 2",
      "answer3": "3 : 10 : 4",
      "correct_answer": 0,
      "skill_id": 179,
      "difficulty_id": 1,
      "explanation": "Method: write the ratio then divide all terms by their highest common factor. 12 : 20 : 8, HCF = 4. Dividing: 12/4 : 20/4 : 8/4 = 3 : 5 : 2.",
      "hints": ["Write the three quantities as a ratio first: 12 : 20 : 8.", "Divide every term by their common factor 4."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1 (= index 0)."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "Mary spent $50 of her weekly allowance of $200. What percentage of her weekly allowance did she spend?<br>[?]%",
      "answer0": "25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 171,
      "difficulty_id": 1,
      "explanation": "Method: percentage = (part / whole) x 100. = (50 / 200) x 100 = 25%.",
      "hints": ["Percentage = part over whole, times 100.", "Compute 50/200 first, then x 100."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Original was MCQ (options 75/50/25/20%, key index 2). Converted to FIB: answer is the whole-number percentage 25."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Tim had a total of 120 green and blue marbles in the ratio of 5 : 3. How many more green marbles than blue marbles are there?<br>[?]",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 182,
      "difficulty_id": 2,
      "explanation": "Method: total units = 5 + 3 = 8 units = 120, so 1 unit = 120/8 = 15. Difference = 5u - 3u = 2 units = 2 x 15 = 30 more green marbles.",
      "hints": ["Add the ratio parts: 5 + 3 = 8 units make up 120.", "Find 1 unit, then the difference is 2 units."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Original was MCQ (15/30/45/75, key index 1). Converted to FIB: count answer 30."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "The mass of object A is 2.8 kg. The mass of object B is 4 kg 30 g. Find their total mass. Express the answer in kilograms.",
      "answer0": "6.1 kg",
      "answer1": "6.803 kg",
      "answer2": "6.83 kg",
      "answer3": "7.1 kg",
      "correct_answer": 2,
      "skill_id": 184,
      "difficulty_id": 2,
      "explanation": "Method: convert to kg then add. 4 kg 30 g = 4.030 kg (30 g = 0.030 kg). Total = 2.8 + 4.030 = 6.83 kg.",
      "hints": ["30 g = 0.030 kg, since 1000 g = 1 kg.", "Add 2.8 kg and 4.030 kg."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 3 (= index 2). Options are mixed unit text, kept as MCQ."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "The figure shows a rectangular glass box partly stacked with unit cubes. How many unit cubes are there in the glass box?",
      "answer0": "11",
      "answer1": "12",
      "answer2": "13",
      "answer3": "14",
      "correct_answer": 2,
      "skill_id": 188,
      "difficulty_id": 2,
      "explanation": "Method: count the unit cubes shown, including those hidden behind others on the base layer. The arrangement totals 13 unit cubes.",
      "hints": ["Count the cubes on the floor of the box, then any stacked on top.", "Remember cubes can be hidden behind the visible ones."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 3,
      "image_bbox": [0.30, 0.10, 0.66, 0.27],
      "image_loc": "isometric drawing of a rectangular glass box with unit cubes inside, top of page 3 below the question text",
      "notes": "Answer key: 3 (= index 2), i.e. 13 cubes. Count must be read from the figure."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "A tank, 50 cm by 20 cm by 30 cm, is filled with 10.2 litres of water at first. A pail of water is poured into this tank and the tank is half-filled with water. How much water is in the pail?",
      "answer0": "4.2 ℓ",
      "answer1": "4.8 ℓ",
      "answer2": "5.2 ℓ",
      "answer3": "8.7 ℓ",
      "correct_answer": 1,
      "skill_id": 191,
      "difficulty_id": 2,
      "explanation": "Method: tank volume = 50 x 20 x 30 = 30000 cm3 = 30 L. Half-filled = 15 L. Pail = 15 - 10.2 = 4.8 L.",
      "hints": ["Find the full volume of the tank in cm3, then convert to litres (1000 cm3 = 1 L).", "Half the capacity minus the 10.2 L already inside gives the pail amount."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2 (= index 1)."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The solid is made up of 10 identical cubes. Which of the following drawings shows the top view of the solid?",
      "answer0": "Grid A",
      "answer1": "Grid B",
      "answer2": "Grid C",
      "answer3": "Grid D",
      "correct_answer": 3,
      "skill_id": 187,
      "difficulty_id": 2,
      "explanation": "Method: look down on the solid and mark every grid square covered by at least one cube. The matching top-view footprint is option (4).",
      "hints": ["The top view shows the outline of the base footprint of all the cubes.", "Match each shaded square option to where cubes sit when seen from above."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q9",
      "image_needed": true,
      "image_options": true,
      "image_file": null,
      "image_page": 4,
      "image_bbox": [0.18, 0.13, 0.62, 0.27],
      "image_loc": "isometric drawing of the 10-cube solid with Top/Side/Front view labels, upper-middle of page 4",
      "notes": "Answer key: 4 (= index 3). Four option grids (1)-(4) are picture grids; crop main solid figure to q9.png and each option to q9_opt0..3.png. Option grids on page 4: opt0/opt1 in upper row, opt2/opt3 in lower row."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Peter and John wanted to divide a number by 10. Peter multiplied the number by 20 instead and submitted 64 as the answer. John had used the correct method. Find the answer John had submitted.<br>[?]",
      "answer0": "0.32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 166,
      "difficulty_id": 2,
      "explanation": "Method: Peter's result 64 = number x 20, so the number = 64/20 = 3.2. John divides correctly: 3.2 / 10 = 0.32.",
      "hints": ["Work backwards from Peter: number = 64 / 20.", "Then divide that number by 10 for John's correct answer."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Original was MCQ (0.32/3.2/128/1280, key index 0). Converted to FIB: decimal answer 0.32."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Find the value of \\(10.6 \\times 800\\).<br>[?]",
      "answer0": "8480",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 166,
      "difficulty_id": 1,
      "explanation": "Method: 10.6 x 800 = 10.6 x 100 x 8 = 1060 x 8 = 8480.",
      "hints": ["Break 800 into 100 x 8.", "10.6 x 100 = 1060, then multiply by 8."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key working: 10.6 x 100 x 8 = 1060 x 8 = 8480."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Find the volume of a cube of side 4 cm.<br>[?] cm³",
      "answer0": "64",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 1,
      "explanation": "Method: volume of a cube = side x side x side = 4 x 4 x 4 = 64 cm3.",
      "hints": ["Volume of a cube = side cubed.", "Compute 4 x 4 x 4."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: V = 4 x 4 x 4 = 64 cm3."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Alice, Betty and Cindy shared $72 in the ratio of 2 : 3 : 1. How much did Alice receive?<br>$[?]",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 182,
      "difficulty_id": 2,
      "explanation": "Method: total units = 2 + 3 + 1 = 6 units = $72, so 1 unit = $72/6 = $12. Alice has 2 units = 2 x $12 = $24.",
      "hints": ["Add the ratio parts: 2 + 3 + 1 = 6 units make up $72.", "Find 1 unit, then Alice's share is 2 units."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 6u = $72, 1u = $12, 2u = $24."
    },
    {
      "n": 14,
      "type_id": 0,
      "question": "By joining the dots with straight lines, draw Cuboid A on the grid.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 187,
      "difficulty_id": 2,
      "explanation": "Method: copy the given cuboid onto the dot grid by drawing the same edges between the corresponding dots. The answer key shows the reproduced cuboid drawing of Cuboid A.",
      "hints": ["Match each corner of the model cuboid to a dot on the blank grid.", "Join the dots with straight lines to copy every visible edge."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q14",
      "image_needed": true,
      "image_options": false,
      "image_file": "q14.png",
      "image_page": 7,
      "image_bbox": [0.14, 0.13, 0.88, 0.32],
      "image_loc": "two dot-grid panels labelled 'Cuboid A' (with a drawn cuboid) and 'Drawing of Cuboid A' (blank), top of page 7",
      "notes": "Interactive draw-on-grid task: no app question type. type_id 0, SKIPPED on insert. Answer is to reproduce the cuboid drawing."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Sam collected 80 stamps. He kept 20% of his stamps in Album A, 45% of his stamps in Album B and the remaining stamps in Album C. How many of his stamps did he keep in Album C?<br>[?]",
      "answer0": "28",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 2,
      "explanation": "Method: percentage in Album C = 100% - 20% - 45% = 35%. Stamps in C = 35/100 x 80 = 2800/100 = 28 stamps.",
      "hints": ["First find the percentage left for Album C: 100% - 20% - 45%.", "Find that percentage of 80 stamps."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 100u - 20u - 45u = 35u; 35/100 x 80 = 28."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Mrs Fang bought a chair for $150 at a shop on Monday. On Tuesday, the same shop gave a discount of 25% for buying the same chair. How much would Mrs Fang have saved if she bought the chair on Tuesday?<br>$[?]",
      "answer0": "37.50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "Method: the saving is the discount amount = 25% of $150 = 25/100 x 150 = $37.50. (Check: discounted price $150 - $37.50 = $112.50.)",
      "hints": ["The amount saved equals the 25% discount on $150.", "Compute 25/100 x 150."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $150 - $112.50 = $37.50 saved."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "There are 3 decimal cards with different decimals (0.25, 3.9, 1.47) and 3 number cards with different whole numbers (900, 20, 5000) for playing a game.<br>(a) Aisha chose one decimal card and one number card and multiplied them together. What is the greatest possible value of the product? [?]<br>(b) Sue wants to select one decimal card and one number card such that the value of the product is nearest to 1000. Find the value of the product that is nearest to 1000. [?]",
      "answer0": "19500",
      "answer1": "1250",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Method: (a) greatest product uses the largest decimal and largest number: 3.9 x 5000 = 3.9 x 1000 x 5 = 3900 x 5 = 19500. (b) products near 1000: 0.25 x 5000 = 1250 (= 0.25 x 1000 x 5 = 250 x 5), which is the closest to 1000. So the product nearest to 1000 is 1250.",
      "hints": ["For the greatest product, pick the biggest decimal card and the biggest number card.", "For nearest to 1000, test products like 0.25 x 5000."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q17",
      "image_needed": true,
      "image_options": false,
      "image_file": "q17.png",
      "image_page": 9,
      "image_bbox": [0.10, 0.18, 0.92, 0.30],
      "image_loc": "six game cards in a row: decimals 0.25, 3.9, 1.47 and numbers 900, 20, 5000, near the top of page 9",
      "notes": "Card values stated in stem so question is answerable without the image, but figure shows the cards. Answer key: (a) 3.9 x 5000 = 19500; (b) 0.25 x 5000 = 1250. Two blanks for parts (a) and (b)."
    },
    {
      "n": 18,
      "type_id": 1,
      "question": "Container X (20 cm by 4 cm by 12 cm) and Container Y (10 cm by 7 cm by 15 cm) are two empty rectangular containers. \\(\\dfrac{2}{3}\\) of container X will be filled with water and \\(\\dfrac{2}{3}\\) of container Y will also be filled with water.<br>(a) Which container will have more water, and how much more?",
      "answer0": "Container Y will have 60 cm³ more water",
      "answer1": "Container X will have 60 cm³ more water",
      "answer2": "Container Y will have 320 cm³ more water",
      "answer3": "Both contain the same amount of water",
      "correct_answer": 0,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "Method: water in X = 2/3 x (20 x 4 x 12) = 2/3 x 960 = 640 cm3. Water in Y = 2/3 x (10 x 7 x 15) = 2/3 x 1050 = 700 cm3. Y has more: 700 - 640 = 60 cm3 more.",
      "hints": ["Find each full volume (length x width x height), then take 2/3 of each.", "Subtract the two water amounts to find which is larger and by how much."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q18a",
      "image_needed": true,
      "image_options": false,
      "image_file": "q18.png",
      "image_page": 10,
      "image_bbox": [0.10, 0.20, 0.90, 0.36],
      "image_loc": "two labelled cuboid containers: Container X (12 cm x 20 cm x 4 cm) and Container Y (15 cm x 10 cm x 7 cm), upper area of page 10",
      "notes": "Part (a) only. Original is an open word problem; rendered as MCQ because the answer is a comparison + amount. Answer key: Container Y has 60 cm3 more water. Part (b) [Q18b, answer 290 cm3] is a separate follow-up captured below."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Container X (20 cm by 4 cm by 12 cm) and Container Y (10 cm by 7 cm by 15 cm) are two rectangular containers, each \\(\\dfrac{2}{3}\\) filled with water. Water from Container X is poured into Container Y so that Container Y is fully filled with water. How much water is left in Container X after Container Y is fully filled?<br>[?] cm³",
      "answer0": "290",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "Method: water in X = 2/3 x 960 = 640 cm3; water in Y = 2/3 x 1050 = 700 cm3. Y's full capacity = 1050 cm3, so Y needs 1050 - 700 = 350 cm3 more to be full. Pour 350 cm3 from X: water left in X = 640 - 350 = 290 cm3.",
      "hints": ["Find how much more water Y needs to be completely full.", "Subtract that amount from the water currently in Container X."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 2 Q18b",
      "image_needed": true,
      "image_options": false,
      "image_file": "q18.png",
      "image_page": 10,
      "image_bbox": [0.10, 0.20, 0.90, 0.36],
      "image_loc": "two labelled cuboid containers: Container X (12 cm x 20 cm x 4 cm) and Container Y (15 cm x 10 cm x 7 cm), upper area of page 10",
      "notes": "This is Q18 part (b), split into its own FIB row. Answer key: 290 cm3. Shares the q18.png figure with Q18a."
    }
  ]
}