{
  "paper": {
    "school": "Ai Tong",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Ai Tong 2025 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "What is the value of the digit 6 in 964 701?<br>[?]",
      "answer0": "60000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "In 964 701 the digit 6 is in the ten-thousands place, so its value is 6 × 10 000 = 60 000.",
      "hints": ["Find the place value of the digit 6.", "It sits in the ten-thousands column."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 60 000."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Find the value of 78 000 ÷ 300.<br>[?]",
      "answer0": "260",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 151,
      "difficulty_id": 1,
      "explanation": "78 000 ÷ 300 = 780 ÷ 3 = 260.",
      "hints": ["Cancel a common factor of 100 from both numbers.", "780 ÷ 3 = 260."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 260."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Find the value of \\(4 - \\dfrac{7}{11}\\).",
      "answer0": "\\(3\\dfrac{4}{11}\\)",
      "answer1": "\\(3\\dfrac{7}{11}\\)",
      "answer2": "\\(4\\dfrac{4}{11}\\)",
      "answer3": "\\(\\dfrac{37}{11}\\)",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "Regroup 4 as \\(3\\dfrac{11}{11}\\), so \\(3\\dfrac{11}{11} - \\dfrac{7}{11} = 3\\dfrac{4}{11}\\).",
      "hints": ["Rewrite one whole as 11/11 so you can subtract.", "4 = 3 + 11/11."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer so converted from FIB to MCQ. Key: 3 4/11."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "Round 89 495 to the nearest thousand.<br>[?]",
      "answer0": "89000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 150,
      "difficulty_id": 1,
      "explanation": "The hundreds digit is 4 (less than 5), so round down: 89 495 rounds to 89 000.",
      "hints": ["Look at the hundreds digit to decide.", "4 hundreds rounds down."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 89 000."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Find the value of \\(\\dfrac{7}{9} \\times 72\\).<br>[?]",
      "answer0": "56",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 163,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{7}{9} \\times 72 = 7 \\times (72 \\div 9) = 7 \\times 8 = 56\\).",
      "hints": ["Divide 72 by 9 first.", "Then multiply by 7."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 56 (whole-number answer so FIB)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "What is the value of 42 + (56 − 8 × 4) ÷ 6?<br>[?]",
      "answer0": "46",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Inside the brackets, multiply first: 8 × 4 = 32, then 56 − 32 = 24. Then 24 ÷ 6 = 4, so 42 + 4 = 46.",
      "hints": ["Work inside the brackets, multiplying before subtracting.", "Then divide by 6 and add 42."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 46 (key working 56 − 32 = 24, 24 ÷ 6 = 4, 42 + 4 = 46)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "9 ℓ of orange juice was poured equally into 12 bottles. How much orange juice was poured into each bottle? Give your answer as a fraction in its simplest form.",
      "answer0": "\\(\\dfrac{3}{4}\\) ℓ",
      "answer1": "\\(\\dfrac{9}{12}\\) ℓ",
      "answer2": "\\(\\dfrac{2}{3}\\) ℓ",
      "answer3": "\\(\\dfrac{4}{3}\\) ℓ",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 2,
      "explanation": "Each bottle = \\(9 \\div 12 = \\dfrac{9}{12} = \\dfrac{3}{4}\\) ℓ.",
      "hints": ["Divide 9 by 12 and write as a fraction.", "Simplify 9/12 by dividing by 3."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Fraction answer so converted from FIB to MCQ. Key: 3/4 ℓ."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Express \\(\\dfrac{2}{7}\\) as a decimal correct to 2 decimal places.<br>[?]",
      "answer0": "0.29",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "\\(\\dfrac{2}{7} = 0.2857...\\), which rounds to 0.29 (2 decimal places).",
      "hints": ["Divide 2 by 7.", "Round the result to 2 decimal places."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 0.29 (decimal answer so FIB)."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Devi had \\(\\dfrac{5}{8}\\) kg of sugar. She used \\(\\dfrac{4}{5}\\) of it to make some dessert. What was the mass of sugar that she used? Give your answer as a fraction in its simplest form.",
      "answer0": "\\(\\dfrac{1}{2}\\) kg",
      "answer1": "\\(\\dfrac{4}{8}\\) kg",
      "answer2": "\\(\\dfrac{20}{40}\\) kg",
      "answer3": "\\(\\dfrac{9}{13}\\) kg",
      "correct_answer": 0,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "Used = \\(\\dfrac{4}{5} \\times \\dfrac{5}{8} = \\dfrac{20}{40} = \\dfrac{1}{2}\\) kg.",
      "hints": ["Multiply 4/5 by 5/8.", "Simplify the product."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Fraction answer so converted from FIB to MCQ. Key: 1/2 kg."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Mrs Tan baked 505 muffins. She sold 125 muffins in the morning and \\(\\dfrac{2}{5}\\) of the muffins in the afternoon. How many muffins did she sell altogether?<br>[?]",
      "answer0": "327",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Afternoon = \\(\\dfrac{2}{5} \\times 505 = 202\\) muffins (since \\(\\dfrac{1}{5}\\) of 505 = 101, and 101 × 2 = 202). Altogether = 125 + 202 = 327.",
      "hints": ["Find 2/5 of 505 for the afternoon.", "Add the morning's 125."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 327 (key working 505 ÷ 5 = 101, ×2 = 202, +125 = 327)."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Mr Lee spent \\(\\dfrac{4}{9}\\) of his salary on food and \\(\\dfrac{3}{10}\\) of the remainder on transport. He then saved the rest of his salary. Mr Lee spent $56 more on food than the amount he saved. How much was Mr Lee's salary?<br>$[?]",
      "answer0": "1008",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Food = \\(\\dfrac{4}{9}\\) of salary. Remainder = \\(\\dfrac{5}{9}\\). Transport = \\(\\dfrac{3}{10} \\times \\dfrac{5}{9} = \\dfrac{1}{6}\\)... working in 90ths: food = 40/90, remainder = 50/90, transport = 15/90, saved = 50/90 − 15/90 = 35/90. Food − saved = 40/90 − 35/90 = 5/90 = 1/18 of salary = $56, so 1/18 = $56 and salary = 18 × $56 = $1008.",
      "hints": ["Express food, transport and savings as eighteenths (or 90ths) of the salary.", "Food − saved = the fraction equal to $56."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $1008 (key working 8u − 7u = 1u = $56, 18u = $56 × 18 = $1008)."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Ann, Ben and Cara had some money. Ann and Ben had $2661. Ben and Cara had $5874. Cara had 4 times as much money as Ann. How much money did Ben have?<br>$[?]",
      "answer0": "1590",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Cara = 4 × Ann, so Cara − Ann = 3 units. (Ben + Cara) − (Ann + Ben) = Cara − Ann = $5874 − $2661 = $3213 = 3 units, so 1 unit (Ann) = $1071. Ben = $2661 − Ann = $2661 − $1071 = $1590.",
      "hints": ["Subtract the two totals to get Cara − Ann (3 units).", "Find Ann, then Ben = $2661 − Ann."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $1590 (Ann = $1071, Ben = $2661 − $1071)."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "There were 1320 marbles in Box A. Box A had 720 more marbles than Box B. Some marbles were moved from Box A to Box B. Box B then had 5 times as many as Box A. How many marbles were moved from Box A to Box B?<br>[?]",
      "answer0": "1000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Box B at first = 1320 − 720 = 600. Total marbles = 1320 + 600 = 1920 (unchanged). In the end Box B = 5 × Box A, so 6 units = 1920 and 1 unit = 320 = Box A in the end. Marbles moved = 1320 − 320 = 1000.",
      "hints": ["Find Box B's starting amount and the unchanged total.", "After moving, Box A is 1 of 6 equal parts; subtract from the original 1320."],
      "source": "Ai Tong 2025 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1000 (Box A end = 1920 ÷ 6 = 320, moved = 1320 − 320 = 1000)."
    }
  ]
}
