{
  "paper": {
    "school": "ACS Junior",
    "year": 2023,
    "level": "P4",
    "label": "Weighted Assessment 1",
    "source_prefix": "ACS Junior 2023 P4 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What does the digit 8 stand for in 87 502?",
      "answer0": "8 ones",
      "answer1": "8 hundreds",
      "answer2": "8 thousands",
      "answer3": "8 ten thousands",
      "correct_answer": 3,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "In 87 502 the digit 8 is in the ten thousands place. It stands for 8 ten thousands (80 000).",
      "hints": ["Write out the place values: ten thousands, thousands, hundreds, tens, ones.", "The leftmost digit of a 5-digit number is in the ten thousands place."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 4 (8 ten thousands)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is not a factor of 48?",
      "answer0": "3",
      "answer1": "6",
      "answer2": "7",
      "answer3": "8",
      "correct_answer": 2,
      "skill_id": 112,
      "difficulty_id": 1,
      "explanation": "Check each: 48 ÷ 3 = 16, 48 ÷ 6 = 8, 48 ÷ 8 = 6 all exact, so they are factors. 48 ÷ 7 is not exact, so 7 is not a factor of 48.",
      "hints": ["A factor divides the number exactly with no remainder.", "Try dividing 48 by each option and see which leaves a remainder."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 3 (7)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "What is 7 thousands 3 hundreds and 6 ones as a numeral?",
      "answer0": "7036",
      "answer1": "7063",
      "answer2": "7306",
      "answer3": "7630",
      "correct_answer": 2,
      "skill_id": 106,
      "difficulty_id": 1,
      "explanation": "7 thousands = 7000, 3 hundreds = 300, 0 tens, 6 ones = 6. Total = 7000 + 300 + 6 = 7306.",
      "hints": ["There are no tens stated, so the tens digit is 0.", "Add 7000 + 300 + 6."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 3 (7306)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Methodist School Walk raised an amount of $12 800 when rounded to the nearest hundred dollars. What is the smallest possible amount raised?",
      "answer0": "$12749",
      "answer1": "$12760",
      "answer2": "$12799",
      "answer3": "$12849",
      "correct_answer": 1,
      "skill_id": 109,
      "difficulty_id": 2,
      "explanation": "To round to 12 800 to the nearest hundred, the amount must be from 12 750 to 12 849. The smallest of these is 12 750. Of the options, $12 749 rounds to 12 700, $12 849 rounds to 12 800 but is larger, so the smallest valid amount is $12 760.",
      "hints": ["Numbers that round to 12 800 to the nearest hundred lie between 12 750 and 12 849.", "$12 749 rounds down to 12 700, so it is too small."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 2 ($12760)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Miss Toh gave 405 cards to some pupils in her class. She gave 9 cards to each pupil and had 27 cards left. How many pupils did she have in her class?",
      "answer0": "15",
      "answer1": "36",
      "answer2": "42",
      "answer3": "45",
      "correct_answer": 2,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Cards given out = 405 − 27 = 378. Number of pupils = 378 ÷ 9 = 42.",
      "hints": ["First subtract the 27 cards that were left over.", "Then divide the cards given out by 9."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 3 (42)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Use all the digits to form the largest 4-digit even number.<br>6, 4, 3, 7<br>[?]",
      "answer0": "7634",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "For the largest number, place the biggest digits first. For an even number, the last digit must be even (4 or 6). Use 4 as the last digit and arrange the rest in descending order: 7, 6, 3 then 4 gives 7634.",
      "hints": ["An even number ends in an even digit (here 4 or 6).", "Put the largest digits in the highest place values, keeping an even digit at the end."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7634."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Find the remainder when 5875 is divided by 6.<br>[?]",
      "answer0": "1",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "5875 ÷ 6 = 979 remainder 1, since 979 × 6 = 5874 and 5875 − 5874 = 1.",
      "hints": ["Do long division of 5875 by 6.", "The remainder is what is left after subtracting 6 × quotient."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Multiply 86 by 34.<br>[?] × [?] = [?]",
      "answer0": "86",
      "answer1": "34",
      "answer2": "2924",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "86 × 34: 86 × 30 = 2580 and 86 × 4 = 344. 2580 + 344 = 2924.",
      "hints": ["Split 34 into 30 and 4.", "Multiply 86 by each part, then add."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2924. Rendered as multiplication-fact FIB."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "I am a whole number. I am a multiple of 7. One of my factors is 4. I am between 40 and 60. What number am I?<br>[?]",
      "answer0": "56",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 111,
      "difficulty_id": 2,
      "explanation": "Multiples of 7 between 40 and 60 are 42, 49, 56. The number must also have 4 as a factor, i.e. be divisible by 4. Only 56 is divisible by 4 (56 ÷ 4 = 14), so the number is 56.",
      "hints": ["List the multiples of 7 between 40 and 60.", "Of those, find the one that is divisible by 4."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 56."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Siti and Brandon had 182 books. Brandon gave 24 books to Siti. In the end, they had the same number of books. How many books did Siti have at first?<br>[?]",
      "answer0": "67",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "In the end each had 182 ÷ 2 = 91 books. Siti gained 24 books, so at first Siti had 91 − 24 = 67 books.",
      "hints": ["The total stays 182, so at the end each person has half of 182.", "Siti received 24 books, so subtract 24 from her final amount to find her starting amount."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 67."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Mr Tan bought 3 adult and 1 child air tickets for $2800. An adult ticket cost 2 times as much as a child ticket. How much did he pay for one adult ticket?<br>$[?]",
      "answer0": "800",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "1 adult = 2 child units. 3 adults + 1 child = 6 + 1 = 7 child units = $2800. One child unit = $2800 ÷ 7 = $400. One adult ticket = $400 × 2 = $800.",
      "hints": ["Let a child ticket be 1 unit; an adult ticket is 2 units.", "3 adults + 1 child = 7 units = $2800. Find 1 unit first."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $800 ($2800 ÷ 7 = $400; $400 × 2 = $800)."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Ahmad, John, and Tina share $830. Ahmad has twice as much money as Tina and he has $40 more than John. How much money does Ahmad have?<br>$[?]",
      "answer0": "348",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let Tina = 1 unit, so Ahmad = 2 units. John = Ahmad − $40 = 2 units − $40. Total: 1 + 2 + (2 − $40) = 5 units − $40 = $830, so 5 units = $870 and 1 unit = $174. Ahmad = 2 units = $174 × 2 = $348.",
      "hints": ["Let Tina be 1 unit and Ahmad be 2 units; write John in terms of Ahmad.", "Add $40 to the total to make the units even, then divide."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $348 ($830 + $40 = $870; $870 ÷ 5 = $174; $174 × 2 = $348)."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Kim had twice as many stamps as Gopal at first. Kim lost 30 stamps and she bought another 5 stamps. In the end, Gopal had three times as many stamps as Kim. How many stamps did they have altogether at first?<br>[?]",
      "answer0": "45",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let Gopal = 1 unit, Kim = 2 units at first. Kim's net change = −30 + 5 = −25, so Kim ends with 2 units − 25. Gopal is unchanged at 1 unit, and ends with three times Kim: 1 unit = 3 × (2 units − 25) = 6 units − 75, so 5 units = 75 and 1 unit = 15. At first Gopal = 15, Kim = 30, altogether = 15 + 30 = 45.",
      "hints": ["Let Gopal be 1 unit and Kim be 2 units at the start.", "Kim's total change is −30 + 5 = −25; set Gopal = 3 × Kim's final amount."],
      "source": "ACS Junior 2023 P4 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 45 (5+5+5=15; 30−5=25; 30+15=45 per key working; total at first = 45)."
    }
  ]
}