{
  "paper": {
    "school": "Maha Bodhi",
    "year": 2025,
    "level": "P4",
    "label": "Weighted Assessment 2",
    "source_prefix": "Maha Bodhi 2025 P4 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "How many one-thirds are there in 5 wholes?",
      "answer0": "$$\\frac{5}{3}$$",
      "answer1": "15",
      "answer2": "3",
      "answer3": "$$\\frac{3}{15}$$",
      "correct_answer": 1,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "Number of one-thirds in 5 wholes = $$5 \\div \\frac{1}{3} = 5 \\times 3 = 15$$.",
      "hints": ["Each whole contains 3 thirds.", "Multiply the number of wholes by 3: $$5 \\times 3$$."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: option 2 (15). Verified."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is not true about both squares and rectangles?",
      "answer0": "All the angles in each shape add up to 360°.",
      "answer1": "All the opposite sides are parallel.",
      "answer2": "All the opposite sides are equal.",
      "answer3": "All the sides are equal.",
      "correct_answer": 3,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "A rectangle has its two pairs of opposite sides equal but not all four sides equal, so 'All the sides are equal' is true only for squares, not both shapes. The other three statements hold for both.",
      "hints": ["Think about what is different between a square and a rectangle.", "A rectangle does not need all four sides to be the same length."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: option 4. Verified."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Name the angle marked $$f$$, inside the 4-sided figure.",
      "answer0": "∠SRQ",
      "answer1": "∠RQP",
      "answer2": "∠QPR",
      "answer3": "∠PSR",
      "correct_answer": 3,
      "skill_id": 139,
      "difficulty_id": 2,
      "explanation": "Angle $$f$$ is at vertex S, between sides SP and SR, so it is ∠PSR (equivalently ∠RSP). The vertex letter must be in the middle of the three-letter name.",
      "hints": ["The angle is at vertex S, so S goes in the middle of the name.", "Use the two sides meeting at S: P and R."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 2,
      "image_bbox": [0.33, 0.14, 0.70, 0.32],
      "image_loc": "Quadrilateral PQRS near the top of the page, with angle f marked at vertex S.",
      "notes": "Key: option 4 (∠PSR). Verified."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "A bag of flour has a mass of $$\\frac{3}{4}$$ $$kg$$. The bag of flour is $$\\frac{1}{8}$$ $$kg$$ heavier than a bag of sugar. What is the total mass of the two bags?",
      "answer0": "$$\\frac{5}{8}$$ $$kg$$",
      "answer1": "$$\\frac{7}{8}$$ $$kg$$",
      "answer2": "$$1\\frac{3}{8}$$ $$kg$$",
      "answer3": "$$1\\frac{5}{8}$$ $$kg$$",
      "correct_answer": 2,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "Sugar = $$\\frac{3}{4} - \\frac{1}{8} = \\frac{6}{8} - \\frac{1}{8} = \\frac{5}{8}$$ kg. Total = $$\\frac{3}{4} + \\frac{5}{8} = \\frac{6}{8} + \\frac{5}{8} = \\frac{11}{8} = 1\\frac{3}{8}$$ kg.",
      "hints": ["First find the mass of the sugar by subtracting $$\\frac{1}{8}$$ from $$\\frac{3}{4}$$.", "Add the two masses, using a common denominator of 8."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: option 3 (1 3/8 kg). Verified."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "There are 72 black and white buttons in a box. $$\\frac{5}{6}$$ of them are white buttons and the rest are black buttons. How many more white than black buttons are there?",
      "answer0": "12",
      "answer1": "24",
      "answer2": "48",
      "answer3": "60",
      "correct_answer": 2,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "White = $$\\frac{5}{6} \\times 72 = 60$$. Black = $$72 - 60 = 12$$. More white than black = $$60 - 12 = 48$$.",
      "hints": ["Find the number of white buttons: $$\\frac{5}{6}$$ of 72.", "Black buttons are the remaining $$\\frac{1}{6}$$; subtract to find the difference."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: option 3 (48). Verified."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "What is the mixed number represented by the letter A on the number line? [?]",
      "answer0": "3 4/5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "Each unit from 3 to 4 is divided into 5 equal parts. A points to the 4th mark after 3, which is $$3\\frac{4}{5}$$.",
      "hints": ["Count how many equal parts each whole is divided into.", "A sits between 3 and 4, four small marks past 3."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 4,
      "image_bbox": [0.28, 0.24, 0.68, 0.35],
      "image_loc": "Number line marked 3, 4, 5 with arrow A pointing just before 4.",
      "notes": "Key: 3 4/5. Each unit split into 5 parts. Verified."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Find the value of $$\\frac{1}{3} + \\frac{1}{9}$$. [?]",
      "answer0": "4/9",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 1,
      "explanation": "$$\\frac{1}{3} + \\frac{1}{9} = \\frac{3}{9} + \\frac{1}{9} = \\frac{4}{9}$$.",
      "hints": ["Convert $$\\frac{1}{3}$$ to ninths: $$\\frac{3}{9}$$.", "Add the numerators over the common denominator 9."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: 4/9. Verified."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Mr Pang sold some packets of sugar and 24 packets of salt. $$\\frac{4}{7}$$ of the total packets sold were sugar. How many packets of sugar were sold? [?]",
      "answer0": "32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "Sugar is $$\\frac{4}{7}$$ of the total, so salt is $$\\frac{3}{7}$$ of the total. 3 units = 24, so 1 unit = $$24 \\div 3 = 8$$. Sugar = 4 units = $$8 \\times 4 = 32$$ packets.",
      "hints": ["If sugar is $$\\frac{4}{7}$$, what fraction is salt?", "The 24 salt packets equal 3 units; find 1 unit first."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: 32. Verified."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Measure and write down the size of $$\\angle y$$ in the triangle. [?]°",
      "answer0": "37",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 140,
      "difficulty_id": 2,
      "explanation": "Using a protractor to measure the angle marked $$y$$ at the right-hand vertex of the triangle gives $$37°$$.",
      "hints": ["Place the protractor centre on the vertex of angle y.", "Read off the scale that starts at 0° along one side."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 5,
      "image_bbox": [0.30, 0.18, 0.72, 0.41],
      "image_loc": "Large triangle with angle y marked at the right-hand vertex.",
      "notes": "Key: 37°. Measured value. Verified."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "WXYZ is a square. $$\\angle n$$ is twice that of $$\\angle p$$. Find $$\\angle n$$. [?]°",
      "answer0": "60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "The corner of the square at Z is a right angle, so $$\\angle n + \\angle p = 90°$$. Since $$\\angle n = 2 \\times \\angle p$$, there are 3 units = 90°, so 1 unit = $$90 \\div 3 = 30°$$. $$\\angle n$$ = 2 units = $$30 \\times 2 = 60°$$.",
      "hints": ["The full corner of a square is 90°, made up of n and p.", "Let p be 1 unit and n be 2 units; 3 units = 90°."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.33, 0.58, 0.62, 0.78],
      "image_loc": "Square WXYZ with a line from corner Z dividing the corner into angles n (upper) and p (lower).",
      "notes": "Key: 60°. n+p=90 at corner Z. Verified."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Gabby gave $$\\frac{5}{8}$$ of her stickers to Hani and $$\\frac{1}{4}$$ of them to Ivy. Ivy received 12 fewer stickers than Hani. How many stickers did Gabby have at first? [?]",
      "answer0": "32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "Hani got $$\\frac{5}{8}$$ and Ivy got $$\\frac{1}{4} = \\frac{2}{8}$$. The difference is $$\\frac{5}{8} - \\frac{2}{8} = \\frac{3}{8}$$, which equals 12 stickers. So 3 units = 12, 1 unit = $$12 \\div 3 = 4$$. Total = 8 units = $$8 \\times 4 = 32$$ stickers.",
      "hints": ["Write Ivy's share with denominator 8: $$\\frac{1}{4} = \\frac{2}{8}$$.", "The difference $$\\frac{3}{8}$$ of the total equals 12 stickers."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Key: 32. 3 units (=3/8) = 12. Verified."
    },
    {
      "n": 12,
      "type_id": 0,
      "question": "The square grid shows line AB. (a) AB is one side of a square ABCD. Draw and label square ABCD. (b) Draw and label a rectangle EFGH, where the length of EF is twice the length of AB. (c) Name a line that is perpendicular to AB in square ABCD.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "(a) Complete square ABCD on the grid using AB as one side. (b) Draw rectangle EFGH with EF twice the length of AB. (c) In square ABCD, BC is perpendicular to AB (adjacent sides of a square meet at right angles).",
      "hints": ["Adjacent sides of a square are perpendicular.", "AB meets BC at vertex B at a right angle."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 7,
      "image_bbox": [0.17, 0.27, 0.93, 0.58],
      "image_loc": "Square grid showing line AB (diagonal) on the left and point E on the right.",
      "notes": "type_id 0: drawing task on grid (parts a and b cannot be a typed answer). Part (c) answer: BC. Key confirms a/b drawings and c) BC."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Mrs Goh had some tea. She poured $$\\frac{2}{5}$$ $$\\ell$$ of it into a jug. She then poured the remaining amount of tea into 2 equal cups. Each cup contained $$\\frac{3}{10}$$ $$\\ell$$ less amount of tea than the amount of tea in the jug. (a) How much tea did she pour into each cup? (b) How much tea did she make? Express your answer in its simplest form.",
      "answer0": "1/10",
      "answer1": "3/5",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "(a) Each cup = jug − $$\\frac{3}{10}$$ = $$\\frac{2}{5} - \\frac{3}{10} = \\frac{4}{10} - \\frac{3}{10} = \\frac{1}{10}$$ ℓ. (b) Total = jug + 2 cups = $$\\frac{2}{5} + \\frac{1}{10} + \\frac{1}{10} = \\frac{4}{10} + \\frac{1}{10} + \\frac{1}{10} = \\frac{6}{10} = \\frac{3}{5}$$ ℓ.",
      "hints": ["Each cup holds $$\\frac{3}{10}$$ ℓ less than the jug's $$\\frac{2}{5}$$ ℓ.", "Total = jug + both cups; convert to tenths to add."],
      "source": "Maha Bodhi 2025 P4 Weighted Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Two-part FIB. answer0=(a) 1/10, answer1=(b) 3/5. Key verified."
    }
  ]
}