{
  "paper": {
    "school": "Pei Hwa Presbyterian Primary School",
    "year": 2022,
    "level": "P3",
    "label": "Weighted Assessment 1",
    "source_prefix": "Pei Hwa 2022 P3 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Find the difference between 6923 and 8000.",
      "answer0": "1076",
      "answer1": "1077",
      "answer2": "1123",
      "answer3": "1187",
      "correct_answer": 1,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "8000 - 6923 = 1077.",
      "hints": ["Difference means subtract the smaller from the larger.", "8000 - 6923."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2 (1-based) = 1077."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the sum of 2932 and 6884.",
      "answer0": "3952",
      "answer1": "8816",
      "answer2": "9716",
      "answer3": "9816",
      "correct_answer": 3,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "2932 + 6884 = 9816.",
      "hints": ["Sum means add.", "Add the ones, tens, hundreds and thousands, carrying over."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4 (1-based) = 9816."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "4 1 6 8 + 2 8 [?] 5 = 7 0 3 3\nThe missing digit in the box is",
      "answer0": "6",
      "answer1": "7",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 0,
      "skill_id": 70,
      "difficulty_id": 2,
      "explanation": "4168 + 28_5 = 7033, so 28_5 = 7033 - 4168 = 2865. The box digit (tens place) is 6.",
      "hints": ["Subtract 4168 from 7033.", "The missing addend is 2865; the box is the tens digit."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q3",
      "image_needed": true,
      "image_page": 2,
      "image_loc": "top-left of page, the vertical addition algorithm 4168 + 28[]5 = 7033 with a blank box in the second addend",
      "image_options": false,
      "image_file": "q3.png",
      "notes": "Key: 1 (1-based) = 6. Vertical addition layout shown as a figure."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following has the greatest value?",
      "answer0": "6 × 9",
      "answer1": "7 × 6",
      "answer2": "8 × 6",
      "answer3": "9 × 5",
      "correct_answer": 0,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "6×9=54, 7×6=42, 8×6=48, 9×5=45. Greatest is 54.",
      "hints": ["Work out each product.", "Compare the four products."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1 (1-based) = 6×9 = 54."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Multiply 78 by 6.",
      "answer0": "426",
      "answer1": "428",
      "answer2": "468",
      "answer3": "476",
      "correct_answer": 2,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "78 × 6 = 468.",
      "hints": ["6 × 8 = 48, write 8 carry 4.", "6 × 7 = 42, add the carried 4."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3 (1-based) = 468."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "When a number is divided by 8, the quotient is 412 and the remainder is 4. What is the number?",
      "answer0": "1640",
      "answer1": "1656",
      "answer2": "3296",
      "answer3": "3300",
      "correct_answer": 3,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "Number = quotient × divisor + remainder = 412 × 8 + 4 = 3296 + 4 = 3300.",
      "hints": ["Number = quotient × 8 + remainder.", "412 × 8 = 3296, then add 4."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4 (1-based) = 3300."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "What is the missing number in the box?\n5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 4 × [?]",
      "answer0": "8",
      "answer1": "10",
      "answer2": "20",
      "answer3": "40",
      "correct_answer": 1,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "Eight 5s = 40. 40 = 4 × 10, so the missing number is 10.",
      "hints": ["Add the eight 5s to get 40.", "40 ÷ 4 gives the missing number."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2 (1-based) = 10."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "The sum of two numbers is 156. The bigger number is 91. What is the smaller number?",
      "answer0": "65",
      "answer1": "75",
      "answer2": "245",
      "answer3": "247",
      "correct_answer": 0,
      "skill_id": 71,
      "difficulty_id": 1,
      "explanation": "156 - 91 = 65.",
      "hints": ["Subtract the bigger number from the sum.", "156 - 91."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1 (1-based) = 65."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "There were 5139 people at the carnival. 924 of them were children, 2308 were women and the rest were men. How many men were there at the carnival?",
      "answer0": "1907",
      "answer1": "2831",
      "answer2": "3232",
      "answer3": "4215",
      "correct_answer": 0,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "924 + 2308 = 3232. 5139 - 3232 = 1907 men.",
      "hints": ["Add the children and women first.", "Subtract that total from 5139."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1 (1-based) = 1907."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Justin and Sean have a total of 392 cards. Justin has 7 times as many cards as Sean. How many cards does Sean have?",
      "answer0": "343",
      "answer1": "336",
      "answer2": "56",
      "answer3": "49",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Sean is 1 unit, Justin is 7 units, total 8 units = 392. 1 unit = 392 ÷ 8 = 49.",
      "hints": ["Together they make 1 + 7 = 8 equal units.", "392 ÷ 8 gives Sean's share."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4 (1-based) = 49."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "[?] × [?] = 49. What is the value of one face?",
      "answer0": "7",
      "answer1": "7",
      "answer2": "49",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "The two identical faces multiply to 49. 7 × 7 = 49, so each face = 7.",
      "hints": ["The two faces are the same number.", "Which number times itself is 49?"],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Original uses two identical smiley-face icons: face × face = 49; find the value of one face. Rendered as a multiplication fact [?] × [?] = [?]. Key answer for the single face value is 7."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Subtract 1965 from 7201.",
      "answer0": "5236",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "7201 - 1965 = 5236.",
      "hints": ["Subtract 1965 from 7201.", "Regroup where needed."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5236."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Find the product of 908 and 6.",
      "answer0": "5448",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "908 × 6 = 5448.",
      "hints": ["Product means multiply.", "908 × 6."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5448."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "What is the remainder when 496 is divided by 3?",
      "answer0": "1",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 1,
      "explanation": "496 ÷ 3 = 165 remainder 1.",
      "hints": ["Divide 496 by 3.", "165 × 3 = 495, so the remainder is 1."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Write two numbers that will give a sum of 3450.",
      "answer0": "1662",
      "answer1": "1788",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "Any two numbers that add to 3450, e.g. 1662 + 1788 = 3450.",
      "hints": ["Pick any first number below 3450.", "The second number is 3450 minus the first."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Open-ended: key gives 1662, 1788 OR any 2 numbers that add up to 3450. Sample answer recorded."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Use all the digits 0, 3, 4, 9, find the difference between the greatest possible 4-digit even number and smallest possible 4-digit odd number.",
      "answer0": "6381",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 3,
      "explanation": "Greatest 4-digit even number from 0,3,4,9 is 9430. Smallest 4-digit odd number is 3049. 9430 - 3049 = 6381.",
      "hints": ["Even number ends in an even digit; arrange the rest from largest.", "Odd number ends in an odd digit; arrange the rest from smallest (no leading 0)."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: greatest even 9430, smallest odd 3049, 9430-3049=6381. The four digits 0 3 4 9 are printed inline in the stem, not a figure."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Marie spent a total of $300 on Monday and Tuesday. She spent $44 lesser on Monday than on Tuesday. How much did she spend on Tuesday?",
      "answer0": "172",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Total + difference = 2 × Tuesday: 300 + 44 = 344. Tuesday = 344 ÷ 2 = $172.",
      "hints": ["Add the $44 difference to the total.", "Divide by 2 to get the larger (Tuesday) amount."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer unit is dollars. Key: $172."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Alice has 46 marbles. Belle has twice as many marbles as Alice. Carol has four times as many marbles as Belle. How many marbles does Carol have?",
      "answer0": "368",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Belle = 46 × 2 = 92. Carol = 92 × 4 = 368.",
      "hints": ["First find Belle's marbles (twice Alice's).", "Carol has four times Belle's."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 368."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "The first four patterns are shown. Pattern 1 has 1 square, Pattern 2 has 3 squares, Pattern 3 has 5 squares, Pattern 4 has 7 squares. How many squares are there in Pattern 8?",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "Squares increase by 2 each pattern (odd numbers): pattern n has 2n - 1 squares. Pattern 8 = 2×8 - 1 = 15.",
      "hints": ["Each pattern adds 2 squares.", "Pattern n has 2 × n - 1 squares."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q19",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "upper portion of page, row of four diamond/square figures labelled Pattern 1 to Pattern 4 with counts 1, 3, 5, 7 squares",
      "image_options": false,
      "image_file": "q19.png",
      "notes": "Key: 15. Figure shows the growing diamond-square pattern; counts also stated in stem."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Mr Tan has 98 sweets. He wants to give all his sweets to his 8 students. How many more sweets does he need such that each student will receive an equal number of sweets?",
      "answer0": "6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "98 ÷ 8 = 12 remainder 2. To make an equal share he needs 8 - 2 = 6 more sweets.",
      "hints": ["Divide 98 by 8 and look at the remainder.", "He needs enough to fill another full round of 8."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 6 (98÷8 = 12 R2, 8-2 = 6)."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "In the school library, there are 400 English books. There are 520 fewer English books than Chinese books. (a) How many Chinese books are there in the school library? (b) The number of Chinese books is four times the number of Malay books. How many Malay books are there in the library?",
      "answer0": "920",
      "answer1": "230",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "(a) Chinese = 400 + 520 = 920. (b) Malay = 920 ÷ 4 = 230.",
      "hints": ["English is 520 fewer than Chinese, so add 520 to 400.", "Malay is a quarter of the Chinese total."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question; answer0 = part (a) 920, answer1 = part (b) 230. Key matches."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "A baker baked some tarts. The tarts were packed equally into boxes of 8. (a) There were 87 boxes of tarts. How many tarts did he bake in total? (b) The baker received $161 for some boxes of tarts sold. Each box of tarts cost $7. How many tarts did he sell altogether?",
      "answer0": "696",
      "answer1": "184",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "(a) 87 × 8 = 696 tarts. (b) Boxes sold = 161 ÷ 7 = 23; tarts sold = 23 × 8 = 184.",
      "hints": ["(a) Multiply the number of boxes by 8 tarts per box.", "(b) Find how many boxes were sold ($161 ÷ $7), then × 8."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part; answer0 = part (a) 696, answer1 = part (b) 184. Key matches."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Tommy and Sue had an equal amount of money at first. Tommy used $403 to buy a handphone and Sue used $152 to buy a bag. Sue had twice as much money left as Tommy. (a) How much money did Tommy have left? (b) How much money did Sue have at first?",
      "answer0": "251",
      "answer1": "654",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "They started equal. Sue's left - Tommy's left = the difference in spending = 403 - 152 = 251. Sue's left = 2 × Tommy's left, so Tommy's left = 251 and Sue's left = 502. (a) Tommy had $251 left. (b) Sue had 502 + 152 = $654 at first.",
      "hints": ["The gap between their remaining money equals the gap in what they spent.", "Sue's leftover is twice Tommy's; one unit is the difference $251."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 1 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part; answer0 = part (a) $251, answer1 = part (b) $654. Key matches."
    }
  ]
}