{
  "paper": {
    "school": "Anglo-Chinese School (Junior)",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Find the value of 54 + (20 − 2) ÷ 6.",
      "answer0": "11",
      "answer1": "12",
      "answer2": "56",
      "answer3": "57",
      "correct_answer": 3,
      "skill_id": 155,
      "difficulty_id": 1,
      "explanation": "Brackets first: 20 − 2 = 18. Then 18 ÷ 6 = 3. So 54 + 3 = 57.",
      "hints": ["Work out the brackets first.", "Divide before adding."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (57)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following fractions is greater than \\(\\dfrac{1}{2}\\)?",
      "answer0": "\\(\\dfrac{2}{4}\\)",
      "answer1": "\\(\\dfrac{2}{5}\\)",
      "answer2": "\\(\\dfrac{3}{7}\\)",
      "answer3": "\\(\\dfrac{4}{7}\\)",
      "correct_answer": 3,
      "skill_id": 79,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{2}{4} = \\dfrac{1}{2}\\) (equal, not greater); \\(\\dfrac{2}{5}\\) and \\(\\dfrac{3}{7}\\) are less than a half. \\(\\dfrac{4}{7}\\) is greater than \\(\\dfrac{3.5}{7} = \\dfrac{1}{2}\\), so \\(\\dfrac{4}{7}\\) is greater than a half.",
      "hints": ["Compare each fraction with 1/2 (half the denominator as numerator).", "A fraction beats 1/2 when its numerator is more than half its denominator."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Fraction options so MCQ. Key: option 4 (4/7)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which of the following is not equal to \\(\\dfrac{5}{4}\\)?",
      "answer0": "1.2",
      "answer1": "\\(5 \\times \\dfrac{1}{4}\\)",
      "answer2": "\\(1\\dfrac{1}{4}\\)",
      "answer3": "5 ÷ 4",
      "correct_answer": 0,
      "skill_id": 158,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{5}{4} = 1.25\\). \\(5 \\times \\dfrac{1}{4} = \\dfrac{5}{4}\\), \\(1\\dfrac{1}{4} = \\dfrac{5}{4}\\), and 5 ÷ 4 = 1.25 = \\(\\dfrac{5}{4}\\). But 1.2 ≠ 1.25, so 1.2 is not equal to \\(\\dfrac{5}{4}\\).",
      "hints": ["Convert 5/4 to a decimal (1.25).", "Check which option does NOT equal 1.25."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (1.2)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "A farmer harvested 240 apples. He threw away 20 spoiled apples. He then packed the remaining apples in packs of 5. Each pack was sold for $10. Which of the following represents the correct way to find how much the farmer earned?",
      "answer0": "5 × 10",
      "answer1": "240 ÷ 5 − 20 × 10",
      "answer2": "240 − 20 ÷ 5 × 10",
      "answer3": "(240 − 20) ÷ 5 × 10",
      "correct_answer": 3,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "First subtract the spoiled apples (240 − 20), then divide by 5 to get the number of packs, then multiply by $10. The expression that does this in the right order is (240 − 20) ÷ 5 × 10.",
      "hints": ["Subtract the spoiled apples before dividing into packs.", "Brackets force the subtraction to happen first."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 ((240 − 20) ÷ 5 × 10)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Mr Koh bought \\(\\dfrac{5}{6}\\) kg of rice. He cooked \\(\\dfrac{3}{5}\\) of it. How many kilograms of rice had Mr Koh left?",
      "answer0": "\\(\\dfrac{1}{3}\\) kg",
      "answer1": "\\(\\dfrac{1}{2}\\) kg",
      "answer2": "\\(\\dfrac{7}{30}\\) kg",
      "answer3": "\\(\\dfrac{13}{20}\\) kg",
      "correct_answer": 0,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "He cooked \\(\\dfrac{3}{5}\\), so \\(\\dfrac{2}{5}\\) is left. Left = \\(\\dfrac{2}{5} \\times \\dfrac{5}{6} = \\dfrac{10}{30} = \\dfrac{1}{3}\\) kg.",
      "hints": ["Find the fraction left over (1 − 3/5).", "Multiply that by 5/6 kg."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Fraction answer so MCQ. Key: option 1 (1/3 kg)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Multiply 18 and 6000.<br>[?]",
      "answer0": "108000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 151,
      "difficulty_id": 1,
      "explanation": "18 × 6 = 108, then × 1000 = 108 000.",
      "hints": ["Multiply 18 by 6 first.", "Then multiply by 1000."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 108 000."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Express 3.44 as a mixed number in its simplest form.",
      "answer0": "\\(3\\dfrac{11}{25}\\)",
      "answer1": "\\(3\\dfrac{44}{100}\\)",
      "answer2": "\\(3\\dfrac{22}{50}\\)",
      "answer3": "\\(3\\dfrac{4}{4}\\)",
      "correct_answer": 0,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "3.44 = \\(3\\dfrac{44}{100}\\). Simplify \\(\\dfrac{44}{100}\\) by dividing by 4: \\(\\dfrac{11}{25}\\). So 3.44 = \\(3\\dfrac{11}{25}\\).",
      "hints": ["Write 0.44 as 44/100.", "Divide numerator and denominator by 4."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer so converted from FIB to MCQ. Key: 3 11/25."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Find the value of \\(\\dfrac{2}{3} + \\dfrac{4}{7}\\). Give your answer as a mixed number.",
      "answer0": "\\(1\\dfrac{5}{21}\\)",
      "answer1": "\\(1\\dfrac{2}{21}\\)",
      "answer2": "\\(\\dfrac{6}{10}\\)",
      "answer3": "\\(1\\dfrac{5}{10}\\)",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "\\(\\dfrac{2}{3} = \\dfrac{14}{21}\\) and \\(\\dfrac{4}{7} = \\dfrac{12}{21}\\). Sum = \\(\\dfrac{26}{21} = 1\\dfrac{5}{21}\\).",
      "hints": ["Use a common denominator of 21.", "Add the numerators, then convert to a mixed number."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer so converted from FIB to MCQ. Key: 1 5/21."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "John used a piece of rope to form a rectangle \\(\\dfrac{5}{12}\\) m long and \\(\\dfrac{1}{3}\\) m wide. What was the length of rope he used? Leave your answer in metres and as a fraction in its simplest form.",
      "answer0": "\\(1\\dfrac{1}{2}\\) m",
      "answer1": "\\(\\dfrac{3}{4}\\) m",
      "answer2": "\\(\\dfrac{9}{12}\\) m",
      "answer3": "\\(1\\dfrac{1}{3}\\) m",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 3,
      "explanation": "Perimeter = 2 × (length + width) = 2 × (\\(\\dfrac{5}{12} + \\dfrac{1}{3}\\)) = 2 × (\\(\\dfrac{5}{12} + \\dfrac{4}{12}\\)) = 2 × \\(\\dfrac{9}{12}\\) = \\(\\dfrac{18}{12} = 1\\dfrac{1}{2}\\) m.",
      "hints": ["The rope is the perimeter: 2 × (length + width).", "Add 5/12 and 1/3 first, then double."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer so converted from FIB to MCQ. Key: 1 1/2 m."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The diagram shows a number pattern represented by the letters A to F, where each letter is 1 more than the one before it (A, +1 → B, +1 → C, +1 → D, +1 → E, +1 → F). B + D + F = 27. What is the value of F?<br>[?]",
      "answer0": "11",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Let A = u. Then B = u + 1, D = u + 3, F = u + 5. B + D + F = 3u + 9 = 27, so 3u = 18 and u = 6. F = 6 + 5 = 11.",
      "hints": ["Write B, D and F in terms of A (each +1 along the chain).", "B + D + F = 3 × A + 9; solve for A then find F."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.3, 0.43, 0.72, 0.52],
      "image_loc": "middle of page; chain of boxes A B C D E F joined by +1 arcs",
      "notes": "Key: 11. Pattern described in stem so figure optional."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Erasers are sold at 10 for $5 and pens are sold at 8 for $6. Julius bought an equal number of erasers and pens for $150. How many pens did he buy?<br>[?]",
      "answer0": "120",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Use the LCM of 10 and 8 = 40 items each. 40 erasers cost 4 × $5 = $20; 40 pens cost 5 × $6 = $30; together $50 per 40 of each. $150 ÷ $50 = 3 sets, so pens = 3 × 40 = 120.",
      "hints": ["Take a common batch of 40 of each (LCM of 10 and 8).", "40 erasers + 40 pens cost $50; see how many $50 batches fit in $150."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 6,
      "image_bbox": [0.24, 0.23, 0.82, 0.4],
      "image_loc": "upper part of page; table with pictures of Erasers (10 for $5) and Pens (8 for $6)",
      "notes": "Key: 120 pens. Prices given in figure labels but stated in stem."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "A box filled with 30 identical tennis balls weighs 3000 g. The same box when filled with 20 identical tennis balls weighs 2200 g. What is the mass of the empty box?<br>[?]",
      "answer0": "600",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "The 10 extra balls (30 − 20) account for 3000 − 2200 = 800 g, so 1 ball = 80 g. 30 balls = 30 × 80 = 2400 g. Empty box = 3000 − 2400 = 600 g.",
      "hints": ["The difference in weight comes from the 10 extra balls.", "Find one ball's mass, then subtract all 30 balls from 3000 g."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 600 g. Answer in grams."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Miss Tan had 60 apples and 54 oranges. She gave away twice as many apples as oranges to her neighbours. She was left with twice as many oranges as apples. How many apples did she give away?<br>[?]",
      "answer0": "44",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Let oranges given = 1 unit, so apples given = 2 units. Apples left = 60 − 2u; oranges left = 54 − u. Oranges left = 2 × apples left: 54 − u = 2(60 − 2u) = 120 − 4u, so 3u = 66 and u = 22. Apples given = 2u = 2 × 22 = 44.",
      "hints": ["Let oranges given = 1 unit and apples given = 2 units.", "Set oranges left = 2 × apples left and solve."],
      "source": "Anglo-Chinese School (Junior) 2025 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 44 apples."
    }
  ]
}
