{
  "paper": {
    "school": "Methodist Girls' School",
    "year": 2024,
    "level": "P4",
    "label": "Weighted Assessment 1",
    "source_prefix": "MGS 2024 P4 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Ten thousand and twelve in numerals is [?].",
      "answer0": "1012",
      "answer1": "10 012",
      "answer2": "10 020",
      "answer3": "10 120",
      "correct_answer": 1,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "Ten thousand = 10 000, plus twelve = 12, so 10 000 + 12 = 10 012.",
      "hints": ["Write ten thousand as 10 000.", "Add twelve (12) to it."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (10 012)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "In 35 987, the digit 5 stands for [?].",
      "answer0": "5 tens",
      "answer1": "5 hundreds",
      "answer2": "5 thousands",
      "answer3": "5 ten thousands",
      "correct_answer": 2,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "In 35 987 the digit 5 is in the thousands place, so it stands for 5 thousands (5000).",
      "hints": ["Read the place values from the right: ones, tens, hundreds, thousands, ten thousands.", "Locate the 5 — it is in the thousands column."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (5 thousands)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "A tourist attraction had 235 189 visitors last year. Round the number to the nearest hundred.",
      "answer0": "235 200",
      "answer1": "235 190",
      "answer2": "235 100",
      "answer3": "235 000",
      "correct_answer": 0,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "To round 235 189 to the nearest hundred, look at the tens digit (8). Since 8 ≥ 5, round up: 235 189 ≈ 235 200.",
      "hints": ["The hundreds digit is 1; the digit after it (tens) is 8.", "8 ≥ 5, so round the hundreds up."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (235 200)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following are common factors of 45 and 63?",
      "answer0": "3 and 7",
      "answer1": "3 and 9",
      "answer2": "5 and 7",
      "answer3": "5 and 9",
      "correct_answer": 1,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Factors of 45: 1, 3, 5, 9, 15, 45. Factors of 63: 1, 3, 7, 9, 21, 63. Common factors: 1, 3, 9. So 3 and 9 are common factors.",
      "hints": ["List the factors of 45 and of 63.", "Find numbers that appear in both lists."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (3 and 9)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "In which of the following are the numbers arranged from the greatest to the smallest?",
      "answer0": "58 349 , 59 843 , 59 348",
      "answer1": "59 843 , 58 349 , 59 348",
      "answer2": "58 349 , 59 348 , 59 843",
      "answer3": "59 843 , 59 348 , 58 349",
      "correct_answer": 3,
      "skill_id": 107,
      "difficulty_id": 2,
      "explanation": "Order from greatest to smallest: 59 843 > 59 348 > 58 349. Compare ten-thousands/thousands then hundreds. Option 4 is correct.",
      "hints": ["Compare digit by digit from the left.", "Greatest first, smallest last."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (59 843 , 59 348 , 58 349)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Mrs Lee packed some doughnuts into boxes of 6. In the end, she had 12 boxes of doughnuts and 3 doughnuts were left unpacked. How many doughnuts did Mrs Lee have at first?",
      "answer0": "69",
      "answer1": "72",
      "answer2": "75",
      "answer3": "96",
      "correct_answer": 2,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Doughnuts in boxes = 12 × 6 = 72. Add the 3 left unpacked: 72 + 3 = 75.",
      "hints": ["Find how many doughnuts are in the 12 boxes (12 × 6).", "Add the 3 leftover doughnuts."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (75)."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "93 708 = 90 000 + 3000 + [?] + 8",
      "answer0": "700",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "Expand 93 708 = 90 000 + 3000 + 700 + 8. The missing number is the hundreds part, 700.",
      "hints": ["Break 93 708 into ten thousands, thousands, hundreds, tens and ones.", "The hundreds digit is 7, so the box is 700."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 700."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "The number of residents in a town is 91 000 when rounded to the nearest 1000. What could be the greatest possible number of residents living in the town, before rounding to the nearest 1000?",
      "answer0": "91 499",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 3,
      "explanation": "Numbers from 90 500 to 91 499 round to 91 000 to the nearest 1000. The greatest such whole number is 91 499.",
      "hints": ["Numbers that round to 91 000 lie between 90 500 and 91 499.", "The largest is one less than 91 500."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 91 499."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Write down the first 2 common multiples of 3 and 9. [?] and [?]",
      "answer0": "9",
      "answer1": "18",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 115,
      "difficulty_id": 2,
      "explanation": "Multiples of 3: 3, 6, 9, 12, 15, 18, ... Multiples of 9: 9, 18, 27, ... The first two common multiples are 9 and 18.",
      "hints": ["List the multiples of 3 and the multiples of 9.", "The smallest numbers in both lists are the common multiples."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 18 and 9. Listed smallest first as 9 and 18."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Complete the number pattern. 2830 , 3830 , 3820 , 4820 , 4810 , 5810 , 5800 , [?] , [?]",
      "answer0": "6800",
      "answer1": "6790",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 108,
      "difficulty_id": 3,
      "explanation": "The pattern alternates +1000 then −10: 2830 (+1000) 3830 (−10) 3820 (+1000) 4820 (−10) 4810 (+1000) 5810 (−10) 5800. Next: +1000 → 6800, then −10 → 6790.",
      "hints": ["Look at the change between each pair of terms.", "The steps alternate: add 1000, then subtract 10."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 6800, (b) 6790."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Mrs Tan packed 48 red pens and 60 blue pens into some bags with no remainder. The total number of pens in each bag was the same. There was an equal number of red pens in each bag. What is the smallest number of red pens there could be in each bag?",
      "answer0": "4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 113,
      "difficulty_id": 3,
      "explanation": "The number of bags must divide both 48 and 60 with no remainder, so it is a common factor of 48 and 60. To make the red pens per bag smallest, use the largest number of bags = HCF(48, 60) = 12. Red pens per bag = 48 ÷ 12 = 4.",
      "hints": ["The number of bags is a common factor of 48 and 60.", "To make red pens per bag smallest, use the greatest common factor as the number of bags."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Andy listed the factors of 32. 1 , 2 , 8 , 32 He missed out two factors. What were the two missing factors? [?] and [?]",
      "answer0": "4",
      "answer1": "16",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 111,
      "difficulty_id": 2,
      "explanation": "All factors of 32 are 1, 2, 4, 8, 16, 32. Andy listed 1, 2, 8, 32, so the missing factors are 4 and 16.",
      "hints": ["List every number that divides 32 exactly.", "Compare your list with Andy's to find the two that are missing."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4 and 16."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Jenny has $7500. James has $6850. How much must Jenny give to James so that both of them have the same amount of money?",
      "answer0": "325",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Difference = $7500 − $6850 = $650. Jenny gives half the difference so they are equal: $650 ÷ 2 = $325.",
      "hints": ["Find the difference between their amounts.", "Jenny gives away half of that difference."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 7500 − 6850 = 650; 650 ÷ 2 = $325. Answer field uses 'Ans: $' prefix, so answer is 325."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Ada, Ben and Chris had 720 stickers altogether. Ben had twice as many stickers as Ada, Chris had 40 stickers less than Ada. How many stickers did Ben have?",
      "answer0": "380",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let Ada = 1 unit. Ben = 2 units, Chris = 1 unit − 40. Total = 4 units − 40 = 720, so 4 units = 760 and 1 unit = 190. Ben = 2 units = 380.",
      "hints": ["Let Ada be 1 unit; write Ben and Chris in terms of units.", "Add 40 back to the total to remove the −40, then divide to find one unit."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 720 + 40 = 760; 760 ÷ 2 ... Ben = 380 (Ben = 2 units = 380)."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Mr Lim bought 5 identical T-shirts and a pair of pants. He paid $120 for the 5 T-shirts. The pair of pants cost 3 times as much as one T-shirt.<br>(a) How much did one T-shirt cost?<br>(b) How much did the pair of pants cost?",
      "answer0": "24",
      "answer1": "72",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "(a) One T-shirt = $120 ÷ 5 = $24. (b) The pants cost 3 times one T-shirt = 3 × $24 = $72.",
      "hints": ["Divide the total T-shirt cost by 5 for one T-shirt.", "Multiply one T-shirt's cost by 3 for the pants."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. Key: (a) 120 ÷ 5 = $24, (b) 24 × 3 = $72. answer0 = part (a) 24, answer1 = part (b) 72."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "In a carnival game, points are earned when bean bags are tossed onto regions A, B or C. Ron, Shirley and Tammy tossed 2 bean bags each: (i) Ron's bean bags landed on regions A and B. (ii) Shirley's bean bags landed on regions B and C. (iii) Tammy's bean bags landed on regions A and C. The total number of points earned by each of them: Ron 125, Shirley 65, Tammy 100. How many points will be earned when a bean bag lands on region B?",
      "answer0": "45",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Ron: A + B = 125. Shirley: B + C = 65. Tammy: A + C = 100. Adding all three: 2A + 2B + 2C = 290, so A + B + C = 145. Region B = (A + B + C) − (A + C) = 145 − 100 = 45.",
      "hints": ["Write an equation for each person's two regions.", "Add all three equations, halve to get A + B + C, then subtract Tammy's A + C."],
      "source": "MGS 2024 P4 Weighted Assessment 1 Q16",
      "image_needed": true,
      "image_options": false,
      "image_file": "q16.png",
      "image_page": 8,
      "image_bbox": [0.64, 0.11, 0.82, 0.20],
      "image_loc": "small diagram top-right of the question showing the target board split into regions A, B (top) and C (lower-left)",
      "notes": "Key: 2A+2B+2C = 125+65+100 = 290; A+B+C = 145; B = 145 − 100 = 45. Region diagram figure-only crop."
    }
  ]
}