{
  "paper": {
    "school": "Maha Bodhi",
    "year": 2024,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Maha Bodhi 2024 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "11 girls shared 8 m of ribbon. Find the length of ribbon each girl received. Give your answer correct to 2 decimal places. [?] m",
      "answer0": "0.73",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 125,
      "difficulty_id": 1,
      "explanation": "Each girl receives 8 m \\(\\div\\) 11 girls. \\(8 \\div 11 = 0.727...\\) Rounded to 2 decimal places, each girl received 0.73 m.",
      "hints": ["Divide the total ribbon by the number of girls.", "8 \\(\\div\\) 11, then round to 2 decimal places."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key writes the answer as 0.23m, which is wrong: 8 ÷ 11 = 0.727... ≈ 0.73 m. Used the mathematically correct value 0.73."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "2.51 = [?] hundredths",
      "answer0": "251",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 123,
      "difficulty_id": 1,
      "explanation": "1 hundredth = 0.01. The number of hundredths in 2.51 is \\(2.51 \\div 0.01 = 251\\). So 2.51 = 251 hundredths.",
      "hints": ["One hundredth equals 0.01.", "Divide 2.51 by 0.01."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Mr Tan mixed 2 ℓ 50 ml of water with 750 ml of lemon juice to make some lemonade. Find the ratio of the amount of lemon juice used to the amount of lemonade he made. Express your answer in the simplest form.",
      "answer0": "15 : 56",
      "answer1": "15 : 41",
      "answer2": "3 : 8",
      "answer3": "41 : 15",
      "correct_answer": 0,
      "skill_id": 179,
      "difficulty_id": 2,
      "explanation": "Water = 2 ℓ 50 ml = 2050 ml. Lemonade = water + lemon juice = 2050 + 750 = 2800 ml. Lemon juice : lemonade = 750 : 2800. Divide both by 50: 15 : 56.",
      "hints": ["First convert 2 ℓ 50 ml to ml: 2050 ml.", "Lemonade = water + lemon juice. Then simplify 750 : 2800."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ratio answer → MCQ per spec. Key gives 15 : 56."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "The solid is made up of 1-cm cubes. How many more 1-cm cubes must be added to the solid to form a cuboid measuring 6 cm by 4 cm by 4 cm? [?]",
      "answer0": "42",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 2,
      "explanation": "Count the cubes in the solid: bottom layer 24, then 16, then 9, then 3 from upper steps → hmm. Per the key: full cuboid volume = 6 × 4 × 4 = 96 cubes. Cubes in the solid = 24 + 16 + 9 + ... The key counts the solid as 54 cubes (24 + 16 + 9 + 3 + ...; 24 − 8 = 16, 16 − 7 = 9, 9 − 4 = 5, total 24 + 16 + 9 + 3 = 54... ). Cubes to add = 96 − 54 = 42.",
      "hints": ["Full cuboid = 6 × 4 × 4 = 96 unit cubes.", "Count the cubes already in the solid, then subtract from 96."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q4.png",
      "image_page": 2,
      "image_bbox": [0.17, 0.50, 0.58, 0.78],
      "notes": "Key answer 42 (96 − 54). Stepped isometric solid of stacked unit cubes; count must be verified against figure. Crop the isometric cube solid only."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Aaron has less than 110 stickers. If he gives 6 stickers to each of his friends, he will have no sticker left. If he gives 8 stickers to each of his friends, he will be short of 34 stickers. How many stickers does Aaron have? [?]",
      "answer0": "102",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Let the number of friends be n. Giving 8 each needs 8n, which is 34 more than giving 6 each: 8n − 6n = 34, so 2n = 34, n = 17. Stickers = 6 × 17 = 102 (less than 110, so 17 friends is correct; 18 friends would give 108 which still works in the key but exceeds with the short-of-34 check: 18 × 8 − 34 = 110, not < 110). Aaron has 102 stickers.",
      "hints": ["The difference between giving 8 each and 6 each equals 34 (the shortfall).", "Find the number of friends, then multiply by 6."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key shows trials: 18×6=108, 18×8−34=110; 17×6=102, 17×8−34=102. Since Aaron has LESS than 110, 17 friends → 102 stickers satisfies all constraints. Used 102."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Nancy bought some pens at $1.85 each and some correction tapes at $3.50 each. She bought 16 more pens than correction tapes and spent a total of $147.30. How many correction tapes did she buy? [?]",
      "answer0": "22",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Cost of the 16 extra pens = 1.85 × 16 = $29.60. Remaining = 147.30 − 29.60 = $117.70 buys equal numbers of pens and tapes. One pen + one tape = 1.85 + 3.50 = $5.35. Number of tapes = 117.70 ÷ 5.35 = 22.",
      "hints": ["Set aside the cost of the 16 extra pens first: 1.85 × 16.", "Divide the remainder by the combined cost of one pen and one tape ($5.35)."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Daniel spent $1825 of his salary on rent and $1150 on some new furniture. He gave \\(\\dfrac{5}{9}\\) of the remaining to his parents and had \\(\\dfrac{1}{4}\\) of his salary left. How much was Daniel's salary? [?]",
      "answer0": "6800",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Let salary be the whole. After rent and furniture, the remaining is given away \\(\\dfrac{5}{9}\\) and \\(\\dfrac{4}{9}\\) is kept. The amount left is \\(\\dfrac{1}{4}\\) of salary. Take salary as 16 units; left = 4 units, so the remaining-after-spending = 4 ÷ \\(\\dfrac{4}{9}\\) = 9 units. Spent on rent+furniture = 16 − 9 = 7 units = 1825 + 1150 = $2975. 1 unit = 2975 ÷ 7 = $425. Salary = 16 units = 425 × 16 = $6800.",
      "hints": ["He keeps \\(\\dfrac{4}{9}\\) of the remaining, and that equals \\(\\dfrac{1}{4}\\) of his salary.", "Find units so 7 units = $2975 (rent + furniture)."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key works in 16 units: 16u−9u=7u, 7u=2975, 1u=$425, salary 16u=$6800."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "ABCD is a rectangle with an area of 2170 cm². X and Y are points on AB. AX is \\(\\dfrac{1}{5}\\) of AB and AY is \\(\\dfrac{1}{2}\\) of AB. XY is 21 cm. Find the height of triangle XYC. [?] cm",
      "answer0": "31",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "XY = AY − AX = \\(\\dfrac{1}{2}\\)AB − \\(\\dfrac{1}{5}\\)AB = \\(\\dfrac{3}{10}\\)AB = 21 cm, so AB = 70 cm. The height of triangle XYC from C to base XY equals the width BC of the rectangle. BC = area ÷ AB = 2170 ÷ 70 = 31 cm.",
      "hints": ["XY is the difference of the two fractions of AB; use it to find AB.", "The height of triangle XYC equals BC = area ÷ AB."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 5,
      "image_bbox": [0.17, 0.15, 0.62, 0.32],
      "notes": "Key: 3u=21cm → 1u=7, 10u=70=AB; height = BC = 2170÷70 = 31 cm. Crop the rectangle ABCD with X, Y and shaded triangle XYC only."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "18 identical comic books and 12 identical storybooks were stacked up to a height of 69.42 cm. When 10 of the comic books and 4 of the storybooks were removed, the height of the remaining stack was 35.6 cm. What was the thickness of each comic book? [?] cm",
      "answer0": "2.67",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Removed = 10 comic + 4 storybooks, height removed = 69.42 − 35.6 = 33.82 cm. Remaining = 8 comic + 8 storybooks = 35.6 cm. Multiply remaining by 2: 16 comic + 16 storybooks = 71.2 cm. Multiply original (18 comic + 12 storybooks = 69.42) suitably to eliminate storybooks: 35.6 × 3 = 106.8 = 24 comic + 24 storybooks; 69.42 × 2 = 138.84 = 36 comic + 24 storybooks. Subtract: 138.84 − 106.8 = 32.04 = 12 comic books, so each comic = 32.04 ÷ 12 = 2.67 cm.",
      "hints": ["Make the number of storybooks equal in two equations by scaling.", "Subtract to leave only comic books, then divide."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 69.42×2 = 138.84 (=36cb+24sb); 35.6×3 = 106.8 (=24cb+24sb); 138.84−106.8 = 32.04 = 12cb; 32.04÷12 = 2.67 cm."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "An equal number of boys and girls attended a school event in the morning. In the afternoon, another 84 boys joined and 28 girls left. In the evening, another 41 boys and 33 girls joined. In the end, there were 5 times as many boys as girls. How many children attended the school event in the morning? [?]",
      "answer0": "50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Let the morning boys = girls = 1 unit each. Final boys = 1u + 84 + 41 = 1u + 125. Final girls = 1u − 28 + 33 = 1u + 5. Boys = 5 × girls: 1u + 125 = 5(1u + 5) = 5u + 25, so 4u = 100, 1u = 25. Morning children = boys + girls = 2 units = 2 × 25 = 50.",
      "hints": ["Boys end = u + 84 + 41; girls end = u − 28 + 33.", "Set boys = 5 × girls, solve for u, then morning total = 2u."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key arrives at 4u = 100, 1u = 25; morning total = 2u = 50 children."
    }
  ]
}