{
  "paper": {
    "school": "Catholic High",
    "year": 2024,
    "level": "P4",
    "label": "Weighted Assessment 1",
    "source_prefix": "Catholic High 2024 P4 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 5 in 15 093?",
      "answer0": "5",
      "answer1": "50",
      "answer2": "500",
      "answer3": "5000",
      "correct_answer": 3,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "In 15 093, the digit 5 is in the thousands place. Place value = 5 × 1000 = 5000.",
      "hints": ["Write out the place values: ten-thousands, thousands, hundreds, tens, ones.", "The 5 sits in the thousands column, so its value is 5 thousands."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key option (4) = 5000 → 0-based index 3."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Arrange the following numbers in increasing order.<br>70 135, 70 315, 70 153, 70 351",
      "answer0": "70 135, 70 153, 70 351, 70 315",
      "answer1": "70 135, 70 315, 70 351, 70 153",
      "answer2": "70 135, 70 153, 70 315, 70 351",
      "answer3": "70 153, 70 135, 70 315, 70 351",
      "correct_answer": 2,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "All share 70 thousands. Compare the last three digits: 135 < 153 < 315 < 351. Increasing order: 70 135, 70 153, 70 315, 70 351.",
      "hints": ["The ten-thousands and thousands digits are the same (70) for all four.", "Compare the hundreds, then tens, then ones to order them."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key option (3) → 0-based index 2."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "There were 78 253 people in a stadium. Express this number to the nearest hundred.",
      "answer0": "78 300",
      "answer1": "78 250",
      "answer2": "78 200",
      "answer3": "78 000",
      "correct_answer": 0,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "Look at the tens digit (5). Since 5 ≥ 5, round the hundreds up: 78 253 ≈ 78 300.",
      "hints": ["To round to the nearest hundred, look at the tens digit.", "Tens digit is 5, so round up the hundreds."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key option (1) → 0-based index 0."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following is not a factor of 81?",
      "answer0": "1",
      "answer1": "8",
      "answer2": "3",
      "answer3": "9",
      "correct_answer": 1,
      "skill_id": 112,
      "difficulty_id": 1,
      "explanation": "Factors of 81 are 1, 3, 9, 27, 81. 81 ÷ 8 leaves a remainder, so 8 is not a factor.",
      "hints": ["A factor divides 81 exactly with no remainder.", "Check each: 81 ÷ 1, ÷ 3, ÷ 9 are exact; 81 ÷ 8 is not."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key option (2) = 8 → 0-based index 1."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "What is the missing number in the number pattern?<br>51 170, 51 070, 50 970, 50 870, [?], 50 670",
      "answer0": "50770",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 108,
      "difficulty_id": 1,
      "explanation": "Each term decreases by 100: 51 170, 51 070, 50 970, 50 870, ... So 50 870 - 100 = 50 770.",
      "hints": ["Find the difference between consecutive terms.", "The pattern decreases by 100 each step."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 50870 - 100 = 50770."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "At a party, every 6th child gets a box of nuggets and every 8th child gets a goodie bag. Which child is the first to get both a box of nuggets and a goodie bag?",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 115,
      "difficulty_id": 2,
      "explanation": "Find the lowest common multiple of 6 and 8. Multiples of 6: 6, 12, 18, 24, ...; multiples of 8: 8, 16, 24, ... The first common multiple is 24, so the 24th child gets both.",
      "hints": ["List the multiples of 6 and the multiples of 8.", "The first number that appears in both lists is the answer (the LCM)."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 24 (LCM of 6 and 8)."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "There were 24 finalists at a gaming competition. Each of them received 20 game sets and there were 10 game sets left. How many game sets were there at first?",
      "answer0": "490",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Game sets given out = 24 × 20 = 480. Add the 10 left over: 480 + 10 = 490.",
      "hints": ["First find how many game sets the 24 finalists received in total.", "Then add the 10 game sets that were left over."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 24 x 20 = 480; 480 + 10 = 490."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "I am a number between 47 and 60. I have a remainder of 7 when I am divided by 9. What number am I?",
      "answer0": "52",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "A multiple of 9 plus 7 between 47 and 60: 45 + 7 = 52. Check: 52 ÷ 9 = 5 remainder 7. The number is 52.",
      "hints": ["The number is a multiple of 9 plus 7.", "Multiples of 9 near this range: 45, 54. 45 + 7 = 52 lies between 47 and 60."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 52 ÷ 9 = 5 r7; 45 + 7 = 52."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Mrs Yeo distributed 5350 masks equally to 5 elderly care centres without any leftovers. How many masks did each elderly care centre receive?",
      "answer0": "1070",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 1,
      "explanation": "Divide the total equally: 5350 ÷ 5 = 1070. Each centre received 1070 masks.",
      "hints": ["\"Distributed equally\" means divide.", "5350 ÷ 5 = 1070."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5350 ÷ 5 = 1070."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Max has less than 30 erasers. When he packs them in groups of three, he will have 1 extra eraser. When he packs them in groups of seven, he will have 5 extra erasers. How many erasers does Max have?",
      "answer0": "19",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Numbers that leave remainder 1 when divided by 3: 1, 4, 7, 10, 13, 16, 19, ... Numbers that leave remainder 5 when divided by 7: 12, 19, 26, ... The common number under 30 is 19. Max has 19 erasers.",
      "hints": ["List numbers below 30 that give remainder 1 when divided by 3.", "Then list numbers that give remainder 5 when divided by 7, and find the common one."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (multiples of 3)+1 = 1,4,7,10,13,16,19; (multiples of 7)+5 = 12,19,26,33; common = 19."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Adam has three times as many stamps as Ben. Caleb has 1200 more stamps than Adam. Ben and Adam have 5780 stamps altogether. How many stamps does Caleb have?",
      "answer0": "5535",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let Ben = 1 unit, Adam = 3 units. Ben + Adam = 4 units = 5780, so 1 unit = 5780 ÷ 4 = 1445. Adam = 3 × 1445 = 4335. Caleb = 4335 + 1200 = 5535.",
      "hints": ["Ben + Adam = 1 unit + 3 units = 4 units = 5780.", "Find Adam (3 units), then add 1200 for Caleb."],
      "source": "Catholic High 2024 P4 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5780 ÷ 4 = 1445; 1445 x 3 = 4335; 4335 + 1200 = 5535."
    }
  ]
}