{
  "paper": {
    "school": "Catholic High",
    "year": 2023,
    "level": "P4",
    "label": "Weighted Assessment 1",
    "source_prefix": "Catholic High 2023 P4 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 4 in 24 058?",
      "answer0": "40",
      "answer1": "400",
      "answer2": "4000",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "The digit 4 is in the thousands place in 24 058, so its value is 4 × 1000 = 4000.",
      "hints": ["Identify which place the digit 4 sits in.", "24 058: the 4 is in the thousands column."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = 4000."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Arrange the following numbers in increasing order.<br>78 512, 87 125, 78 521, 87 215",
      "answer0": "78 512, 78 521, 87 215, 87 125",
      "answer1": "78 512, 78 521, 87 125, 87 215",
      "answer2": "78 521, 78 512, 87 125, 87 215",
      "answer3": "78 521, 78 512, 87 215, 87 125",
      "correct_answer": 1,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "Compare digit by digit. The two 78-thousands first: 78 512 < 78 521. Then the two 87-thousands: 87 125 < 87 215. Increasing order: 78 512, 78 521, 87 125, 87 215.",
      "hints": ["Group by ten-thousands and thousands first.", "Within each group compare the remaining digits."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which of the following is not a common factor of 12 and 18?",
      "answer0": "6",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. Common factors are 1, 2, 3, 6. 4 is a factor of 12 but not of 18, so it is not a common factor.",
      "hints": ["List the factors of 12 and the factors of 18.", "A common factor must divide both numbers; check 4 against 18."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 4."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "There were 51 072 people at a concert. Express this number to the nearest hundred.",
      "answer0": "51 100",
      "answer1": "51 080",
      "answer2": "51 070",
      "answer3": "51 000",
      "correct_answer": 0,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "To round 51 072 to the nearest hundred, look at the tens digit (7). Since 7 ≥ 5, round up the hundreds: 51 072 ≈ 51 100.",
      "hints": ["Look at the tens digit to decide rounding.", "Tens digit is 7, so round the hundreds up."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (1) = 51 100."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "What is the missing number in the number pattern?<br>23 035, 22 035, 21 035, 20 035, [?], 18 035",
      "answer0": "19035",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 108,
      "difficulty_id": 1,
      "explanation": "Each term decreases by 1000: 23 035, 22 035, 21 035, 20 035, then 20 035 − 1000 = 19 035, then 18 035.",
      "hints": ["Find the difference between consecutive terms.", "The pattern subtracts 1000 each step."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 19035. FIB answer plain (no thousands space) to match exact-match grading."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "At a funfair, every 2nd child gets a cotton candy and every 6th child gets a cup of bubble tea. Which child is the first to get both a cotton candy and a cup of bubble tea?",
      "answer0": "6th",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 115,
      "difficulty_id": 2,
      "explanation": "Cotton candy goes to children 2, 4, 6, 8, 10, ... Bubble tea goes to children 6, 12, 18, ... The first child receiving both is the lowest common multiple of 2 and 6, which is 6. So the 6th child is first to get both.",
      "hints": ["List the children who get each item.", "Find the smallest number common to both lists (LCM of 2 and 6)."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 6th child (LCM of 2 and 6 = 6). Answer entered as ordinal '6th'."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "When a number is divided by 8, it has a quotient of 219 and a remainder of 3. What is the number?",
      "answer0": "1755",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "Number = quotient × divisor + remainder = 219 × 8 + 3 = 1752 + 3 = 1755.",
      "hints": ["Use number = quotient × divisor + remainder.", "219 × 8 = 1752, then add the remainder 3."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1755."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Mrs Lee has 134 pupils. She gave 12 pencils to each pupil and had 2 pencils left. How many pencils did she have at first?",
      "answer0": "1610",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Pencils given out = 134 × 12 = 1608. Add the 2 left over: 1608 + 2 = 1610 pencils at first.",
      "hints": ["Multiply pupils by pencils each to find pencils given out.", "Add the leftover pencils to the total given out."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1610 (134 × 12 = 1608; +2 = 1610)."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "A baker packed 3906 croissants equally in boxes. The croissants were packed in boxes of 6. How many boxes were there altogether?",
      "answer0": "651",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 1,
      "explanation": "Number of boxes = total croissants ÷ croissants per box = 3906 ÷ 6 = 651 boxes.",
      "hints": ["Divide the total by the number per box.", "3906 ÷ 6 = 651."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 651."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "A big jar contains twice as many sweets as a small jar. 4 small jars and 2 big jars contain 256 sweets. How many sweets does a big jar contain?",
      "answer0": "64",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let a small jar = 1 unit, so a big jar = 2 units. 4 small jars + 2 big jars = 4 units + 4 units = 8 units = 256 sweets. 1 unit = 256 ÷ 8 = 32. A big jar = 2 units = 2 × 32 = 64 sweets.",
      "hints": ["Let the small jar be 1 unit and the big jar 2 units.", "Count total units: 4(1) + 2(2) = 8 units = 256, find 1 unit then the big jar."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 64. 8u = 256, 1u = 32, big jar 2u = 64."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Mrs Tan bought a dress and 3 similar shirts. The dress cost $272 more than the total cost of the 3 shirts. She gave the cashier a $1000 note and received $428 change. What was the cost of 1 such shirt?",
      "answer0": "$50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Total spent = $1000 − $428 = $572. Let 1 shirt = 1 unit; 3 shirts = 3 units and the dress = 3 units + $272. Dress + 3 shirts = 6 units + $272 = $572. So 6 units = $572 − $272 = $300, and 1 unit = $300 ÷ 6 = $50. One shirt costs $50.",
      "hints": ["Find the total amount spent from the change given.", "Let a shirt be 1 unit; the dress is 3 units + $272, total 6 units + $272 = $572."],
      "source": "Catholic High 2023 P4 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $50. Total = $572; 6u + $272 = $572; 6u = $300; 1u = $50."
    }
  ]
}