{
  "paper": {
    "school": "St Hilda",
    "year": 2023,
    "level": "P4",
    "label": "Weighted Assessment 1",
    "source_prefix": "St Hilda 2023 P4 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which digit in 98 150 is in the thousands place?",
      "answer0": "1",
      "answer1": "5",
      "answer2": "8",
      "answer3": null,
      "correct_answer": 2,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "In 98 150 the digits are 9 (ten thousands), 8 (thousands), 1 (hundreds), 5 (tens), 0 (ones). The thousands place is 8.",
      "hints": ["Write out the place value of each digit from the right.", "Thousands is the 4th place from the right."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Only 3 options printed in paper; key = option (3) = 8. In the original the digit 8 is underlined in '98 150'."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is a multiple of 7?",
      "answer0": "17",
      "answer1": "21",
      "answer2": "27",
      "answer3": "47",
      "correct_answer": 1,
      "skill_id": 114,
      "difficulty_id": 1,
      "explanation": "Multiples of 7 are 7, 14, 21, 28, ... 21 = 7 × 3, so 21 is a multiple of 7.",
      "hints": ["Try dividing each number by 7.", "21 ÷ 7 = 3 with no remainder."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which of the following is not a factor of 42?",
      "answer0": "1",
      "answer1": "6",
      "answer2": "7",
      "answer3": "8",
      "correct_answer": 3,
      "skill_id": 112,
      "difficulty_id": 1,
      "explanation": "Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. 8 is not a factor of 42 (42 ÷ 8 leaves a remainder).",
      "hints": ["List the factor pairs of 42.", "Check which option does not divide 42 exactly."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Multiply 436 by 15.",
      "answer0": "2486",
      "answer1": "2616",
      "answer2": "6410",
      "answer3": "6540",
      "correct_answer": 3,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "436 × 15 = 436 × 10 + 436 × 5 = 4360 + 2180 = 6540.",
      "hints": ["Split 15 into 10 + 5.", "Add 436 × 10 and 436 × 5."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "1100 × 4 = [?]",
      "answer0": "440",
      "answer1": "4000",
      "answer2": "4400",
      "answer3": "44 000",
      "correct_answer": 2,
      "skill_id": 116,
      "difficulty_id": 1,
      "explanation": "1100 × 4 = 11 × 4 × 100 = 44 × 100 = 4400.",
      "hints": ["Multiply 11 by 4 first, then multiply by 100.", "11 × 4 = 44."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "MCQ asking for the product; the [?] in the stem reflects the printed '= ?'."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Ninety-five thousand, seven hundred and thirty-six in numerals is [?]",
      "answer0": "9536",
      "answer1": "9736",
      "answer2": "95 036",
      "answer3": "95 736",
      "correct_answer": 3,
      "skill_id": 106,
      "difficulty_id": 1,
      "explanation": "Ninety-five thousand = 95 000; seven hundred and thirty-six = 736. Together: 95 000 + 736 = 95 736.",
      "hints": ["Write the thousands part and the hundreds part separately.", "95 thousand is 95 000."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "4024 babies were born in March. The number of babies born in March was 1097 fewer than the number of babies born in January. How many babies were born in January?",
      "answer0": "2927",
      "answer1": "3073",
      "answer2": "5111",
      "answer3": "5121",
      "correct_answer": 3,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "March is 1097 fewer than January, so January = March + 1097 = 4024 + 1097 = 5121.",
      "hints": ["'1097 fewer' means January has more.", "Add: 4024 + 1097."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Which of the following is a multiple of both 3 and 8?",
      "answer0": "16",
      "answer1": "24",
      "answer2": "32",
      "answer3": "38",
      "correct_answer": 1,
      "skill_id": 115,
      "difficulty_id": 2,
      "explanation": "A multiple of both 3 and 8 is a multiple of 24. 24 = 3 × 8, and 24 ÷ 3 = 8, 24 ÷ 8 = 3, so 24 works.",
      "hints": ["The number must divide by 3 and by 8 with no remainder.", "Find the smallest common multiple of 3 and 8."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Samantha is less than 17 years old this year. Her age last year was a multiple of 5. Her age this year is a multiple of 4. What is Samantha's age this year?",
      "answer0": "16",
      "answer1": "15",
      "answer2": "13",
      "answer3": "12",
      "correct_answer": 0,
      "skill_id": 115,
      "difficulty_id": 3,
      "explanation": "Last year a multiple of 5 means last age is 5, 10 or 15, so this year she is 6, 11 or 16. Of these, a multiple of 4 that is less than 17 is 16.",
      "hints": ["List possible ages last year that are multiples of 5, then add 1.", "Which of those this-year ages is a multiple of 4 and below 17?"],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Raja wanted to buy a new piano which costs $3483. He had been saving for 9 months but he was still short of $1647. He saved an equal amount of money each month. How much did Raja save each month?",
      "answer0": "$387",
      "answer1": "$240",
      "answer2": "$204",
      "answer3": "$183",
      "correct_answer": 2,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Amount saved = $3483 - $1647 = $1836 over 9 months. Each month = $1836 ÷ 9 = $204.",
      "hints": ["Find how much he has actually saved (cost minus shortfall).", "Divide the saved amount by 9 months."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": ""
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Write the missing number in the number pattern.<br>68 501, 70 501, 72 501, [?], 76 501, 78 501",
      "answer0": "74 501",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 108,
      "difficulty_id": 1,
      "explanation": "The pattern increases by 2000 each time. 72 501 + 2000 = 74 501.",
      "hints": ["Find the difference between consecutive terms.", "Each term is 2000 more than the one before."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q1. Key: 72501 + 2000 = 74501."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Some factors of 36 are 1, 2, 3, 4, 6, 12, 36. What are the other two factors of 36?",
      "answer0": "9",
      "answer1": "18",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 112,
      "difficulty_id": 2,
      "explanation": "All factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The two missing from the list are 9 and 18.",
      "hints": ["List every factor pair of 36.", "9 × 4 = 36 and 18 × 2 = 36."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q2. Two-blank FIB; answers 9 and 18."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Two of the common factors of 12 and 18 are 1 and 2. What are the other 2 common factors of 12 and 18?",
      "answer0": "3",
      "answer1": "6",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Common factors of 12 and 18 are 1, 2, 3 and 6. The two missing from the list are 3 and 6.",
      "hints": ["Find factors of 12 and factors of 18, then the common ones.", "Both 3 and 6 divide 12 and 18 exactly."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q3. Two-blank FIB; answers 3 and 6."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Find the product of 283 and 28.",
      "answer0": "7924",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "283 × 28 = 283 × 20 + 283 × 8 = 5660 + 2264 = 7924.",
      "hints": ["Split 28 into 20 + 8.", "Add 283 × 20 and 283 × 8."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q4. The answer key prints '283 x 28 = 7294' but that is a typo; the correct product is 7924 (283×20=5660, 283×8=2264, sum 7924). Answer corrected."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Find the quotient when 6300 is divided by 3.",
      "answer0": "2100",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 1,
      "explanation": "6300 ÷ 3 = 2100 (63 ÷ 3 = 21, then bring down the two zeros).",
      "hints": ["Divide 63 hundreds by 3.", "6300 ÷ 3 = 2100."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q5. Key: 6300 ÷ 3 = 2100."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Arrange the following numbers from the smallest to the greatest.<br>71 095, 78 059, 69 590, 72 950<br>[?], [?], [?], [?]",
      "answer0": "69 590",
      "answer1": "71 095",
      "answer2": "72 950",
      "answer3": "78 059",
      "correct_answer": null,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "Compare the numbers: 69 590 < 71 095 < 72 950 < 78 059. From smallest to greatest: 69 590, 71 095, 72 950, 78 059.",
      "hints": ["Compare the ten-thousands and thousands digits first.", "Start with the smallest number."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q6. Ordering task converted to 4-blank FIB (smallest to greatest). Numbers were shown in decorative diamond shapes but the values are plain text, so no figure is needed. Key order: 69590, 71095, 72950, 78059."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "The number of people in a concert rounded to the nearest hundred is 55 100. What is the greatest possible number of people in the stadium?",
      "answer0": "55 149",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 3,
      "explanation": "To round to 55 100, the number must be from 55 050 to 55 149. The greatest possible number is 55 149.",
      "hints": ["Numbers that round to 55 100 lie between 55 050 and 55 149.", "Take the largest one in that range."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q7. Key: 55149."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Gopal has a number card. The number on the card is a factor of 36 and a multiple of 3. It is more than 12 but less than 20. What is the number on Gopal's card?",
      "answer0": "18",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 113,
      "difficulty_id": 3,
      "explanation": "Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Those more than 12 but less than 20 give 18. 18 is also a multiple of 3.",
      "hints": ["List factors of 36 between 12 and 20.", "Check which one is a multiple of 3."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q8. Key: 18."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "A number is between 40 and 50. It is also a multiple of 6. When it is divided by 8, there is no remainder. What is the number?",
      "answer0": "48",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 115,
      "difficulty_id": 3,
      "explanation": "Multiples of 6 between 40 and 50 are 42 and 48. Of these, 48 ÷ 8 = 6 with no remainder, so the number is 48.",
      "hints": ["List multiples of 6 between 40 and 50.", "Which one also divides exactly by 8?"],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q9. Key: 48."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "[?] × 6 = [?]<br>[?] × 3 = 4608<br>The value of [?] is",
      "answer0": "256",
      "answer1": "1536",
      "answer2": "1536",
      "answer3": "256",
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 3,
      "explanation": "Let the star be S and the heart be H. From H × 3 = 4608, H = 4608 ÷ 3 = 1536. From S × 6 = H, S = 1536 ÷ 6 = 256. So the star equals 256.",
      "hints": ["Find the heart first: divide 4608 by 3.", "Then divide the heart by 6 to find the star."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q10. Original uses a star and heart symbol: star x 6 = heart, heart x 3 = 4608, asks for value of star. Rendered as blanks: first line star=[?](256), heart=[?](1536); second line heart=[?](1536); final asked value star=[?](256). Single asked answer = 256."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Carrie earns $75 a day on weekdays. She is paid twice as much on Saturdays. She worked for 21 weekdays and a Saturday in a particular month. How much does Carrie earn on a Saturday?",
      "answer0": "150",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 1,
      "explanation": "Saturday pay is twice the weekday pay: $75 × 2 = $150.",
      "hints": ["'Twice as much' means multiply by 2.", "$75 × 2 = $150."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q11(a). Answer in dollars; key $150."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "Carrie earns $75 a day on weekdays. She is paid twice as much on Saturdays. She worked for 21 weekdays and a Saturday in a particular month. How much did Carrie earn for that month?",
      "answer0": "1725",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Weekday earnings: $75 × 21 = $1575. Saturday earnings: $75 × 2 = $150. Total: $1575 + $150 = $1725.",
      "hints": ["Work out the 21 weekdays and the one Saturday separately.", "Add the weekday total and the Saturday pay."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q11(b). Answer in dollars; key $1725."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "A fruit seller had 106 boxes of oranges. There were 24 oranges in each box. He sold all the oranges at 8 for $5. How many oranges did the fruit seller have altogether?",
      "answer0": "2544",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Total oranges = 106 boxes × 24 per box = 2544.",
      "hints": ["Multiply the number of boxes by oranges per box.", "106 × 24 = 2544."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q12(a). Key: 2544."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "A fruit seller had 106 boxes of oranges. There were 24 oranges in each box. He sold all the oranges at 8 for $5. How much money did he receive from the sale of all the oranges?",
      "answer0": "1590",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Total oranges = 106 × 24 = 2544. Groups of 8: 2544 ÷ 8 = 318. Money = 318 × $5 = $1590.",
      "hints": ["First find the total number of oranges, then group them into 8s.", "Each group of 8 sells for $5."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q12(b). Answer in dollars; key $1590."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Siti and Alexis collected the same number of stamps. Siti gave away 64 of her stamps and Alexis gave away 121 of her stamps. In the end, Siti had 4 times as many stamps as Alexis. How many stamps did each of them collect?",
      "answer0": "140",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "They started equal. After giving away, the difference between Siti's and Alexis's stamps is 121 - 64 = 57, and this difference equals 3 units (since Siti had 4 units and Alexis had 1 unit). So 3 units = 57, 1 unit = 19. Alexis had 19 stamps left, so each collected 19 + 121 = 140 stamps.",
      "hints": ["Both started with the same number; find the difference created by giving stamps away.", "Siti = 4 units, Alexis = 1 unit, so 3 units = 121 - 64."],
      "source": "St Hilda 2023 P4 Weighted Assessment 1 Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "image_loc": null,
      "notes": "Booklet B Q13. Key: each collected 140 stamps (3u = 121-64 = 57, 1u = 19, 121 + 19 = 140)."
    }
  ]
}