{
  "paper": {
    "school": "Ai Tong",
    "year": 2022,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Ai Tong 2022 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Write two million, eighty thousand, five hundred and nine in numerals.<br>[?]",
      "answer0": "2080509",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "Two million = 2 000 000, eighty thousand = 80 000, five hundred and nine = 509. Adding: 2 000 000 + 80 000 + 509 = 2 080 509.",
      "hints": ["Break the words into millions, thousands, hundreds, tens and ones.", "2 000 000 + 80 000 + 500 + 9."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2080509."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "In 4 023 670, what is the value of digit 2?<br>[?]",
      "answer0": "20000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "In 4 023 670 the digit 2 is in the ten-thousands place. Its value is 2 × 10 000 = 20 000.",
      "hints": ["Identify the place value of the digit 2.", "The 2 sits in the ten-thousands column."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 20000."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "Find the value of 448 000 ÷ 700.<br>[?]",
      "answer0": "640",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 151,
      "difficulty_id": 2,
      "explanation": "448 000 ÷ 700 = 4480 ÷ 7 = 640.",
      "hints": ["Cancel the common factor of 100 from numerator and denominator first.", "4480 ÷ 7 = 640."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 640."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "What is the value of 6 + (72 − 12 × 4) ÷ 3?<br>[?]",
      "answer0": "14",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Inside the brackets first: 12 × 4 = 48, so 72 − 48 = 24. Then 24 ÷ 3 = 8. Finally 6 + 8 = 14.",
      "hints": ["Work inside the brackets first, multiplication before subtraction.", "6 + (72 − 48) ÷ 3 = 6 + 24 ÷ 3 = 6 + 8."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key working: 6 + (72 − 48) ÷ 3 = 6 + 24 ÷ 3 = 6 + 8 = 14."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Express \\(\\dfrac{9}{8}\\) as a decimal.<br>[?]",
      "answer0": "1.125",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "Multiply numerator and denominator by 125 to make the denominator 1000: \\(\\dfrac{9 \\times 125}{8 \\times 125} = \\dfrac{1125}{1000} = 1.125\\).",
      "hints": ["Make the denominator a power of 10, e.g. 1000.", "\\(\\dfrac{1125}{1000} = 1.125\\)."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1.125 (a decimal, so FIB is fine)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Mike bought 9 similar pizzas and shared them equally with 15 children. What fraction of a pizza did each child get? Express your answer in the simplest form.",
      "answer0": "\\(\\dfrac{3}{5}\\)",
      "answer1": "\\(\\dfrac{9}{15}\\)",
      "answer2": "\\(\\dfrac{5}{3}\\)",
      "answer3": "\\(\\dfrac{2}{5}\\)",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 2,
      "explanation": "Each child gets 9 ÷ 15 = \\(\\dfrac{9}{15}\\) of a pizza. Simplifying by dividing top and bottom by 3 gives \\(\\dfrac{3}{5}\\).",
      "hints": ["A division can be written as a fraction: 9 ÷ 15 = \\(\\dfrac{9}{15}\\).", "Divide numerator and denominator by 3."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 9 ÷ 15 = 9/15 = 3/5. Fraction answer → MCQ."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Mr Tan bought some fruits. \\(\\dfrac{2}{5}\\) of the fruits were oranges and the rest were apples. \\(\\dfrac{1}{3}\\) of the apples were green. What fraction of the fruits were green apples?",
      "answer0": "\\(\\dfrac{1}{5}\\)",
      "answer1": "\\(\\dfrac{3}{5}\\)",
      "answer2": "\\(\\dfrac{1}{3}\\)",
      "answer3": "\\(\\dfrac{2}{15}\\)",
      "correct_answer": 0,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "Apples are the rest: \\(1 - \\dfrac{2}{5} = \\dfrac{3}{5}\\) of the fruits. Green apples are \\(\\dfrac{1}{3}\\) of the apples: \\(\\dfrac{3}{5} \\times \\dfrac{1}{3} = \\dfrac{1}{5}\\).",
      "hints": ["First find the fraction that were apples.", "Multiply \\(\\dfrac{3}{5}\\) by \\(\\dfrac{1}{3}\\)."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1 − 2/5 = 3/5; 3/5 × 1/3 = 1/5. Fraction answer → MCQ."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Shanti had some coloured beads in a box at first. She took out 134 red beads and added in 53 blue beads. In the end, there were 650 beads left in the box. How many beads were there in the box at first?<br>[?]",
      "answer0": "731",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Work backwards from 650. Before adding 53 blue beads: 650 − 53 = 597. Before taking out 134 red beads: 597 + 134 = 731.",
      "hints": ["Work backwards from the final amount of 650.", "Undo the +53 (subtract it), then undo the −134 (add it back)."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 650 − 53 = 597; 597 + 134 = 731."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "A number when divided by 500 gives a quotient of 420. What is the quotient when the same number is divided by 2000?<br>[?]",
      "answer0": "105",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 151,
      "difficulty_id": 2,
      "explanation": "The number is 500 × 420 = 210 000. Dividing by 2000: 210 000 ÷ 2000 = 105.",
      "hints": ["First find the number: 500 × 420.", "Then divide that number by 2000."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 500 × 420 = 210000; 210000 ÷ 2000 = 105."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "The figure is made up of two identical rectangles without overlapping. The breadth of each rectangle is \\(\\dfrac{3}{8}\\) m and the length is twice its breadth. Find the perimeter of the figure. Give your answer as a mixed number in its simplest form.",
      "answer0": "\\(3\\dfrac{3}{4}\\) m",
      "answer1": "\\(3\\dfrac{6}{8}\\) m",
      "answer2": "\\(2\\dfrac{1}{4}\\) m",
      "answer3": "\\(4\\dfrac{1}{2}\\) m",
      "correct_answer": 0,
      "skill_id": 163,
      "difficulty_id": 3,
      "explanation": "Length = \\(\\dfrac{3}{8} \\times 2 = \\dfrac{3}{4}\\) m. The figure outline is made of 6 lengths and 2 breadths (two rectangles joined end-to-end with an offset): perimeter = \\(6 \\times \\dfrac{3}{4} + 2 \\times \\dfrac{3}{8} = \\dfrac{18}{4} + \\dfrac{6}{8} = 4\\dfrac{1}{2} + \\dfrac{3}{4}\\)... Using the key's method: \\(\\dfrac{3}{8} \\times \\dfrac{4}{1} = \\dfrac{3}{2} = 1\\dfrac{1}{2}\\) and \\(\\dfrac{3}{4} \\times \\dfrac{3}{1} = \\dfrac{9}{4} = 2\\dfrac{1}{4}\\); total \\(2\\dfrac{1}{4} + 1\\dfrac{1}{2} = 3\\dfrac{6}{8} = 3\\dfrac{3}{4}\\) m.",
      "hints": ["Length = 2 × breadth = \\(\\dfrac{3}{4}\\) m.", "Add up all the sides of the L-shaped outline, then simplify to a mixed number."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.18, 0.20, 0.40, 0.32],
      "notes": "Answer key: 3 3/4 m. Mixed-number answer → MCQ. Figure = two identical rectangles offset (L/step shape) near top-left of page 5."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Qiumei has $62 and she wants to buy some files from a bookshop. The bookshop sells the files at $2 each or a pack of 5 similar files for $9. What is the most number of files she can buy with all her money?<br>[?]",
      "answer0": "34",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "A pack of 5 for $9 is cheaper per file ($1.80) than $2 each, so buy as many packs as possible. $62 ÷ $9 = 6 packs (6 × $9 = $54) with $8 left. 6 packs = 30 files. The $8 left buys 8 ÷ 2 = 4 single files. Total = 30 + 4 = 34 files.",
      "hints": ["Compare the cost per file: a pack of 5 for $9 is cheaper than $2 each.", "Buy as many $9 packs as possible, then spend the remaining money on $2 files."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 62 ÷ 9 = 6R8; 8 ÷ 2 = 4; 6 × 5 = 30; 30 + 4 = 34."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "At a bakery, there are three types of tarts. \\(\\dfrac{4}{9}\\) of the tarts are chocolate tarts and \\(\\dfrac{2}{5}\\) of the remaining are strawberry tarts. The rest are mango tarts. There are 56 chocolate and mango tarts altogether. How many tarts are there in total?<br>[?]",
      "answer0": "72",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Remaining after chocolate = \\(1 - \\dfrac{4}{9} = \\dfrac{5}{9}\\). Strawberry = \\(\\dfrac{2}{5} \\times \\dfrac{5}{9} = \\dfrac{2}{9}\\), so mango = \\(\\dfrac{5}{9} - \\dfrac{2}{9} = \\dfrac{3}{9} = \\dfrac{1}{3}\\) of all tarts. Chocolate + mango = \\(\\dfrac{4}{9} + \\dfrac{3}{9} = \\dfrac{7}{9}\\) of total = 56. Total = 56 ÷ 7 × 9 = 72.",
      "hints": ["Find what fraction of all the tarts are chocolate and mango together.", "That fraction equals 56 tarts; work back to the total."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. (a) mango fraction = 1/3 (kept in explanation; fraction can't be a FIB answer). (b) total = 72 (asked here). Answer key: chocolate+mango = 7/9; 56 ÷ 7 = 8; 8 × 9 = 72."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "There were 4 times as many boys as girls in the school hall at first. After 57 boys left the hall and 18 girls entered the hall, there was an equal number of boys and girls in the hall. How many boys were there in the hall in the end?<br>[?]",
      "answer0": "43",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Let girls = 1 unit, boys = 4 units at first. In the end boys = 4u − 57 and girls = 1u + 18, and these are equal: 4u − 57 = u + 18, so 3u = 75 and 1u = 25. Boys in the end = 25 + 18 = 43 (equals the equal final count).",
      "hints": ["Use units: girls = 1 unit, boys = 4 units at first.", "Set boys after losing 57 equal to girls after gaining 18, then solve for one unit."],
      "source": "Ai Tong 2022 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 57 + 18 = 75; 75 ÷ 3 = 25; 25 + 18 = 43 (or 25 × 4 = 100; 100 − 57 = 43)."
    }
  ]
}