{
  "paper": {
    "school": "Nanyang",
    "year": 2022,
    "level": "P3",
    "label": "Weighted Assessment 2",
    "source_prefix": "Nanyang 2022 P3 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Multiply 456 by 8.",
      "answer0": "3208",
      "answer1": "3248",
      "answer2": "3608",
      "answer3": "3648",
      "correct_answer": 3,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "456 × 8 = 3648.",
      "hints": ["Multiply the ones, tens and hundreds by 8, carrying over.", "6 × 8 = 48, write 8 carry 4."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4. Verified 456 × 8 = 3648."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Daniel bought a fan for $44.75 and a bread toaster for $36.90. How much did he pay altogether?",
      "answer0": "$81.65",
      "answer1": "$80.65",
      "answer2": "$71.65",
      "answer3": "$70.65",
      "correct_answer": 0,
      "skill_id": 82,
      "difficulty_id": 1,
      "explanation": "$44.75 + $36.90 = $81.65.",
      "hints": ["Add the dollars and cents separately.", "75 cents + 90 cents = 165 cents = $1.65."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q2",
      "image_needed": true,
      "image_page": 2,
      "image_loc": "top of page, below the question — fan with $44.75 price tag and toaster with $36.90 price tag",
      "image_options": false,
      "image_file": "q2.png",
      "notes": "Key: option 1. Verified $44.75 + $36.90 = $81.65."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Yong Fei paid a total of $100 to buy 3 different items. He bought the telephone. Which other two items did he buy?",
      "answer0": "Basket and Clock",
      "answer1": "Basket and Kettle",
      "answer2": "Clock and Teapot",
      "answer3": "Lamp and Teapot",
      "correct_answer": 2,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Telephone costs $45.50, leaving $100 − $45.50 = $54.50. Clock ($20.30) + Teapot ($34.20) = $54.50.",
      "hints": ["Subtract the telephone price from $100 first.", "Find which two items add up to the amount left."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_page": 2,
      "image_loc": "lower half of page, below the question — two price tables (Telephone $45.50, Teapot $34.20, Basket $14.00; Clock $20.30, Kettle $40.05, Lamp $41.50)",
      "image_options": false,
      "image_file": "q3.png",
      "notes": "Key: option 3. Verified $100 − $45.50 = $54.50; Clock $20.30 + Teapot $34.20 = $54.50."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "136 ÷ 8 = [?]",
      "answer0": "17",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "136 ÷ 8 = 17.",
      "hints": ["8 × 10 = 80, leaving 56.", "56 ÷ 8 = 7, so total is 17."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 136 ÷ 8 = 17. Verified."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Susan has $258. She has thrice as much money as Kartijah. How much money do Susan and Kartijah have altogether?",
      "answer0": "344",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Kartijah = $258 ÷ 3 = $86. Altogether = $258 + $86 = $344.",
      "hints": ["Thrice means 3 times, so divide Susan's money by 3 to find Kartijah's.", "Add Susan's and Kartijah's amounts together."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $258 ÷ 3 = $86; $258 + $86 = $344. Answer in dollars."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "There are 361 Chinese books in a library. The number of English books in the library is 6 times as many as the number of Chinese books. How many more English books than Chinese books are there in the library?",
      "answer0": "1805",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "English books = 361 × 6 = 2166. More English than Chinese = 2166 − 361 = 1805.",
      "hints": ["Multiply 361 by 6 to find the number of English books.", "Subtract the Chinese books from the English books."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 361 × 6 = 2166; 2166 − 361 = 1805. Verified."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Kevin has 3 times as many toy cars as Peter. After Kevin gives away 20 cars to his sister, he will have the same number of toy cars Peter has. How many toy cars does Kevin have at first?",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Kevin's 3 units minus 20 equals Peter's 1 unit, so 2 units = 20, 1 unit = 20 ÷ 2 = 10. Kevin = 3 × 10 = 30.",
      "hints": ["Draw 3 units for Kevin and 1 unit for Peter.", "The 20 cars given away equal the 2-unit difference."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key working: 20 ÷ 2 = 10; 10 × 3 = 30. Verified."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Study the pattern. What is the missing number?",
      "answer0": "9",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 3,
      "explanation": "In each triangle, top = (bottom-left × bottom-right) ... actually the rule is bottom-right = (top × bottom-left) + 5. Check: 7×10+5=75; 4×9+5=41; 6×4+5=29. So 5 × ? + 5 = 50, giving ? = 9.",
      "hints": ["Compare the three completed triangles to find the rule linking the numbers.", "bottom-right = top × bottom-left + 5; solve 5 × ? + 5 = 50."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "upper half of page, below the question — four triangles each split into top cell and two bottom cells (10,7,75 | ?,5,50 | 9,4,41 | 4,6,29)",
      "image_options": false,
      "image_file": "q8.png",
      "notes": "Key: 9. Pattern/number-bond figure rendered as FIB. Rule verified on all three completed triangles: bottom-right = top × bottom-left + 5; 5 × 9 + 5 = 50."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Halim had some money. He spent $40 and saved the remaining $30.80. (a) How much money did Halim have at first? Halim saved $10.60 more than Mei Ling. (b) How much money did Mei Ling save?",
      "answer0": "70.80",
      "answer1": "20.20",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "(a) At first = $40 + $30.80 = $70.80. (b) Mei Ling saved $30.80 − $10.60 = $20.20.",
      "hints": ["Add what he spent and what he saved to find the starting amount.", "Mei Ling saved $10.60 less than Halim, so subtract."],
      "source": "Nanyang 2022 P3 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. Key (a) $30.80 + $40 = $70.80; (b) $30.80 − $10.60 = $20.20. answer0=part(a), answer1=part(b), in dollars."
    }
  ]
}