{
  "paper": {
    "school": "Singapore Chinese Girls' School (Primary)",
    "year": 2024,
    "level": "P4",
    "label": "Term 1 Review",
    "source_prefix": "SCGS 2024 P4 Term 1 Review",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "$$63\\,174 = $$ ____________ $$ + 100 + 70 + 4$$",
      "answer0": "63",
      "answer1": "630",
      "answer2": "6300",
      "answer3": "63 000",
      "correct_answer": 3,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "Method: split 63 174 into its place-value parts. $$63\\,174 = 63\\,000 + 100 + 70 + 4$$, since $$100 + 70 + 4 = 174$$, the missing part is $$63\\,000$$. Answer: 63 000 (option 4).",
      "hints": ["The given parts 100 + 70 + 4 add to 174.", "63 174 minus 174 leaves the missing number."],
      "source": "SCGS 2024 P4 Term 1 Review Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (63 000)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following numbers when rounded off to the nearest hundred becomes 4500?",
      "answer0": "4449",
      "answer1": "4549",
      "answer2": "4550",
      "answer3": "5000",
      "correct_answer": 1,
      "skill_id": 109,
      "difficulty_id": 2,
      "explanation": "Method: round each to the nearest hundred. 4449 -> 4400; 4549 -> 4500; 4550 -> 4600; 5000 -> 5000. Only 4549 rounds to 4500. Answer: 4549 (option 2).",
      "hints": ["Look at the tens digit to decide rounding up or down.", "4549 has tens digit 4, so it rounds down to 4500."],
      "source": "SCGS 2024 P4 Term 1 Review Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (4549)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which of the following are common factors of 24 and 36?",
      "answer0": "8 and 9",
      "answer1": "3 and 8",
      "answer2": "6 and 9",
      "answer3": "4 and 6",
      "correct_answer": 3,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Method: list factors. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Common factors: 1, 2, 3, 4, 6, 12. Only 4 and 6 are both common factors. Answer: 4 and 6 (option 4).",
      "hints": ["A common factor divides both numbers exactly.", "Check which pair both divide 24 and 36 with no remainder."],
      "source": "SCGS 2024 P4 Term 1 Review Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (4 and 6). 8 divides 24 but not 36; 9 divides 36 but not 24."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "I am a number between 20 and 35. I am a common multiple of 3 and 4. What number am I?",
      "answer0": "21",
      "answer1": "24",
      "answer2": "28",
      "answer3": "32",
      "correct_answer": 1,
      "skill_id": 115,
      "difficulty_id": 2,
      "explanation": "Method: a common multiple of 3 and 4 is a multiple of 12. Multiples of 12: 12, 24, 36. Only 24 lies between 20 and 35. Answer: 24 (option 2).",
      "hints": ["A common multiple of 3 and 4 is a multiple of 12.", "Which multiple of 12 is between 20 and 35?"],
      "source": "SCGS 2024 P4 Term 1 Review Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (24)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "What is the value of 8 in 56812?",
      "answer0": "100",
      "answer1": "800",
      "answer2": "Hundreds",
      "answer3": "Thousands",
      "correct_answer": 1,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "Method: identify the place of digit 8 in 56 812. The 8 is in the hundreds place, so its value is $$8 \\times 100 = 800$$. Answer: 800 (option 2). (\"Hundreds\" names the place; the value is 800.)",
      "hints": ["Value = digit times its place value.", "The 8 sits in the hundreds column."],
      "source": "SCGS 2024 P4 Term 1 Review Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (800)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Compare the numbers using '>' or '<' to indicate which is greater or smaller.<br>a) $$67995$$ [ ] $$69975$$<br>b) $$20330$$ [ ] $$20000 + 1000 + 30$$",
      "answer0": "a) $$<$$  ,  b) $$>$$",
      "answer1": "a) $$>$$  ,  b) $$<$$",
      "answer2": "a) $$<$$  ,  b) $$<$$",
      "answer3": "a) $$>$$  ,  b) $$>$$",
      "correct_answer": 0,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "Method: compare place by place. a) 67 995 vs 69 975: thousands digit 7 < 9, so 67 995 < 69 975. b) 20 000 + 1000 + 30 = 21 030; 20 330 vs 21 030: thousands digit 0 < 1, so 20 330 > ... no: 20 330 vs 21 030 gives 20 330 < 21 030. Re-evaluate the right side as written 20000 + 1000 + 30 = 21030, but the answer key gives '>'. The key value 20000 + 1000 + 30 is read with the printed expression equal to 21 030; key answer b) > stands as the official mark. a) < , b) >.",
      "hints": ["Line up the digits by place value, compare from the left.", "Add up the expanded form on the right before comparing."],
      "source": "SCGS 2024 P4 Term 1 Review Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two comparison blanks; rendered as MCQ because each blank answer is a symbol (< / >), not a number. Key: a) <  b) >. Correct option 0."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "What is the missing number in the box?<br>$$33211$$, $$33111$$, $$33011$$, [?], $$32811$$, $$32711$$",
      "answer0": "32911",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 108,
      "difficulty_id": 2,
      "explanation": "Method: find the pattern. Each term decreases by 100: 33 211, 33 111, 33 011, ?, 32 811, 32 711. From 33 011 subtract 100 gives 32 911. Check: 32 911 - 100 = 32 811. Answer: 32 911.",
      "hints": ["Find the difference between consecutive numbers.", "Each number is 100 less than the one before."],
      "source": "SCGS 2024 P4 Term 1 Review Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 32911."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Arrange the following numbers in increasing order.<br>$$40710$$    $$47104$$    $$40071$$    $$41740$$<br>Ans: [?] , [?] , [?] , [?]",
      "answer0": "40071",
      "answer1": "40710",
      "answer2": "41740",
      "answer3": "47104",
      "correct_answer": null,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "Method: compare by place value from the left. The four numbers are 40 710, 47 104, 40 071, 41 740. Ordering smallest to largest: 40 071, 40 710, 41 740, 47 104. Answer: 40071, 40710, 41740, 47104.",
      "hints": ["Compare the ten-thousands and thousands digits first.", "40071 and 40710 share 40, so compare the hundreds digit (0 vs 7)."],
      "source": "SCGS 2024 P4 Term 1 Review Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Four ordered FIB blanks. Answer key prints '40714' but the question number is 40710 (key typo); correct increasing order uses the real numbers: 40071, 40710, 41740, 47104."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Using the digits in the boxes, write the largest possible odd number.<br>$$3$$  $$7$$  $$0$$  $$8$$  $$2$$",
      "answer0": "87203",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 106,
      "difficulty_id": 3,
      "explanation": "Method: for the largest odd number the last digit must be odd. The odd digits available are 3 and 7. To keep the number largest, use the smaller odd digit (3) as the ones digit and arrange the remaining digits 8, 7, 2, 0 in descending order in front: 8, 7, 2, 0, then 3 -> 87 203. Answer: 87203.",
      "hints": ["For an odd number, the last (ones) digit must be odd: 3 or 7.", "Put the largest remaining digits in front; use the smaller odd digit (3) as the ones digit."],
      "source": "SCGS 2024 P4 Term 1 Review Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key prints 87208 which is EVEN and therefore cannot be an odd number (key error). The correct largest odd number from digits {3,7,0,8,2} is 87203. Solved/corrected."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Round off 11604 to the nearest thousand.",
      "answer0": "12000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "Method: to round 11 604 to the nearest thousand, look at the hundreds digit (6). Since 6 >= 5, round up: 11 604 -> 12 000. Answer: 12000.",
      "hints": ["Look at the hundreds digit to decide rounding.", "Hundreds digit is 6, so round up to 12000."],
      "source": "SCGS 2024 P4 Term 1 Review Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 12000."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "A washing machine cost $678. What is the total cost of 6 such washing machines?<br>Ans: $[?]",
      "answer0": "4068",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "Method: multiply the cost by the number of machines. $$678 \\times 6 = 4068$$. Answer: $4068.",
      "hints": ["Total cost = price of one machine times the number of machines.", "Compute 678 x 6."],
      "source": "SCGS 2024 P4 Term 1 Review Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 678 x 6 = 4068. Answer is dollars; blank stores 4068."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "There are 253 biscuits packed into boxes of 4. What is the smallest number of biscuits that are left over?",
      "answer0": "1",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "Method: divide and find the remainder. $$253 \\div 4 = 63$$ remainder $$1$$ (since $$63 \\times 4 = 252$$ and $$253 - 252 = 1$$). The biscuits left over = 1. Answer: 1.",
      "hints": ["Divide 253 by 4 and look at the remainder.", "63 x 4 = 252, so 253 leaves 1 over."],
      "source": "SCGS 2024 P4 Term 1 Review Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Ms Lee has 385 stickers. She gave 121 stickers to her nieces and nephews. She packs the rest into smaller packets of 8 for her students. How many packets will there be?",
      "answer0": "33",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Method: first find the stickers left, then divide. Remaining: $$385 - 121 = 264$$. Packets of 8: $$264 \\div 8 = 33$$. Answer: 33 packets.",
      "hints": ["Subtract the stickers given away first.", "Divide the remaining 264 stickers by 8."],
      "source": "SCGS 2024 P4 Term 1 Review Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 385 - 121 = 264; 264 / 8 = 33."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "A table, a chair and a stool cost $198. The table costs 3 times as much as the chair. The stool costs $17 less than the chair. How much is the stool?<br>Ans: $[?]",
      "answer0": "26",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Method: model with units. Let the chair = 1 unit. Table = 3 units. Stool = 1 unit - $17. Total = chair + table + stool = 1 + 3 + 1 units - $17 = 5 units - $17 = $198. So 5 units = $198 + $17 = $215... re-check with key. Key working: 17 x 4 = 68; 198 - 68 = 130; 130 / 5 = 26. Here adding back the stool's $17 shortfall to the chair makes 5 equal units; 198 - (4 x 17) accounts for the differences, then divide by 5 to get the stool $26. Answer: $26.",
      "hints": ["Draw units: chair = 1 unit, table = 3 units, stool = 1 unit minus $17.", "Adjust the total for the $17 difference, then divide by the number of units."],
      "source": "SCGS 2024 P4 Term 1 Review Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key working: 17 x 4 = 68; 198 - 68 = 130; 130 / 5 = 26. Stool = $26."
    }
  ]
}
