{
  "paper": {
    "school": "Nanyang",
    "year": 2024,
    "level": "P5",
    "label": "Term 1 Weighted Assessment",
    "source_prefix": "Nanyang 2024 P5 Term 1 Weighted Assessment",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Find the value of \\(906\\,000 \\div 6000\\)",
      "answer0": "16",
      "answer1": "151",
      "answer2": "160",
      "answer3": "1510",
      "correct_answer": 1,
      "skill_id": 151,
      "difficulty_id": 2,
      "explanation": "Cancel the common zeros: \\(906\\,000 \\div 6000 = 906 \\div 6 = 151\\).",
      "hints": ["Cancel three zeros from both numbers.", "Then divide 906 by 6."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q1 = option 2 (151)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the value of \\(4 \\times 12 - (9 - 6 \\div 3) \\times 2\\)",
      "answer0": "46",
      "answer1": "43",
      "answer2": "34",
      "answer3": "22",
      "correct_answer": 2,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Brackets: \\(6 \\div 3 = 2\\), so \\(9 - 2 = 7\\). Then \\(4 \\times 12 = 48\\) and \\(7 \\times 2 = 14\\). Finally \\(48 - 14 = 34\\).",
      "hints": ["Inside the brackets, divide before subtracting.", "Multiply both products, then subtract."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q2 = option 3 (34)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Find the value of \\(\\dfrac{2}{7} \\times \\dfrac{5}{4}\\)",
      "answer0": "\\(\\dfrac{5}{14}\\)",
      "answer1": "\\(\\dfrac{6}{9}\\)",
      "answer2": "\\(\\dfrac{7}{11}\\)",
      "answer3": "\\(\\dfrac{8}{35}\\)",
      "correct_answer": 0,
      "skill_id": 161,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{2}{7} \\times \\dfrac{5}{4} = \\dfrac{10}{28} = \\dfrac{5}{14}\\).",
      "hints": ["Multiply numerators and denominators.", "Simplify 10/28 to lowest terms."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q3 = option 1 (5/14)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Sally wanted to buy a computer but the amount of money she had was only \\(\\dfrac{5}{9}\\) of the cost of the computer. After her parents gave her $350, the amount of money she then had was \\(\\dfrac{2}{3}\\) of the cost of the computer. How much did the computer cost?",
      "answer0": "$630",
      "answer1": "$1050",
      "answer2": "$1575",
      "answer3": "$3150",
      "correct_answer": 3,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "The $350 increased her share from \\(\\dfrac{5}{9}\\) to \\(\\dfrac{2}{3} = \\dfrac{6}{9}\\), a rise of \\(\\dfrac{1}{9}\\) of the cost. So \\(\\dfrac{1}{9}\\) of the cost = $350, and the full cost = 9 × $350 = $3150.",
      "hints": ["Express 2/3 with denominator 9 to compare.", "The $350 equals the difference in ninths."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q4 = option 4 ($3150). 2/3 = 6/9; 6/9 − 5/9 = 1/9 = $350; cost = 9 × 350 = $3150."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "The first 17 numbers of a number pattern are given.<br>1, 3, 6, 4, 2, 4, 8, 6, 3, 5, 10, 8, 4, 6, 12, 10, 5, …<br>Find the sum of the first 25 numbers.",
      "answer0": "121",
      "answer1": "145",
      "answer2": "175",
      "answer3": "181",
      "correct_answer": 3,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "The pattern runs in groups of four (e.g. 1,3,6,4 then 2,4,8,6 then 3,5,10,8 …) with each group's values increasing. Summing the first 25 terms according to the pattern gives 181.",
      "hints": ["Look for repeating blocks of four numbers.", "Find the rule for each block, then add the first 25 terms."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q5 = option 4 (181). No worked solution printed for Q5; final answer taken from the answer-grid key."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Write seven million, seven hundred and two thousand, two hundred and two in numerals. [?]",
      "answer0": "7702202",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "Seven million = 7 000 000, seven hundred and two thousand = 702 000, two hundred and two = 202. Total = 7 702 202.",
      "hints": ["Write each part by place value.", "Add the millions, thousands and hundreds parts."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 7702202."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Find the value of \\(35 \\div 9\\). Express your answer as a mixed number in the simplest form.",
      "answer0": "\\(3\\dfrac{8}{9}\\)",
      "answer1": "\\(3\\dfrac{7}{9}\\)",
      "answer2": "\\(\\dfrac{35}{9}\\)",
      "answer3": "\\(4\\dfrac{1}{9}\\)",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 1,
      "explanation": "\\(35 \\div 9 = \\dfrac{35}{9} = 3\\dfrac{8}{9}\\) (since 9 × 3 = 27, remainder 8).",
      "hints": ["Divide 35 by 9 to get the whole-number part.", "The remainder over 9 is the fraction part."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer → MCQ. Key: 35/9 = 3 8/9."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Express \\(5\\dfrac{4}{125}\\) as a decimal. [?]",
      "answer0": "5.032",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "\\(\\dfrac{4}{125} = \\dfrac{4 \\times 8}{125 \\times 8} = \\dfrac{32}{1000} = 0.032\\). So \\(5\\dfrac{4}{125} = 5.032\\).",
      "hints": ["Make the denominator 1000 by multiplying by 8.", "Then read off the decimal and add the whole number 5."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Decimal answer → FIB. Key: 4×8/125×8 = 32/1000 = 5.032."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Parker swam 50 minutes each day from Monday to Friday. He swam 30 minutes each day on Saturday and Sunday. How many minutes did he swim in 40 weeks?<br>Ans: [?] min",
      "answer0": "12400",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Per week: Mon–Fri = \\(50 \\times 5 = 250\\) min, Sat–Sun = \\(30 \\times 2 = 60\\) min, total = 250 + 60 = 310 min. In 40 weeks = \\(310 \\times 40 = 12\\,400\\) min.",
      "hints": ["Find the total minutes swum in one week first.", "Multiply the weekly total by 40."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 250 + 60 = 310; 310 × 40 = 12400 min."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Timothy sold 6000 plates of chicken rice and 1500 bowls of prawn noodles in January. He collected $45 000 from the sales in January. The amount of money he collected from a bowl of prawn noodles is twice the amount of money he collected from a plate of chicken rice. What was the amount of money he collected from a plate of chicken rice?<br>Ans: $[?]",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Each bowl of prawn noodles = 2 chicken-rice units. 1500 bowls = \\(1500 \\times 2 = 3000\\) chicken-rice units. Total units = 3000 + 6000 = 9000. \\(\\$45\\,000 \\div 9000 = \\$5\\) per plate of chicken rice.",
      "hints": ["Convert the prawn-noodle sales into chicken-rice units (each is worth 2).", "Divide the total $45 000 by the total units."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1500×2 = 3000; 3000+6000 = 9000; 45000 ÷ 9000 = $5."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "A room has a breadth of \\(\\dfrac{13}{3}\\) m and a length of 36 m. Find the area of the room.<br>Ans: [?] m²",
      "answer0": "156",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 162,
      "difficulty_id": 2,
      "explanation": "Area = length × breadth = \\(36 \\times \\dfrac{13}{3} = \\dfrac{36}{1} \\times \\dfrac{13}{3} = 12 \\times 13 = 156\\) m².",
      "hints": ["Area = length × breadth.", "Cancel 36 with the denominator 3 before multiplying."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 36 × 13/3 = 36/1 × 13/3 = 156 m²."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Mindy baked a total of 113 cookies and brownies. After giving away \\(\\dfrac{3}{5}\\) of the cookies and 36 brownies, she had an equal number of cookies and brownies left. How many cookies did she bake at first? [?]",
      "answer0": "55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Cookies left = \\(\\dfrac{2}{5}\\) of cookies (2 units). Let cookies = 5 units. Brownies left = brownies − 36, and this equals the cookies left (2 units). Total = cookies + brownies = 5u + (2u + 36) = 7u + 36 = 113, so 7u = 77, 1u = 11. Cookies = 5 units = 55.",
      "hints": ["Cookies left = 2/5 of cookies; let cookies be 5 units.", "Brownies left equals cookies left; build the total equation."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 7u = 113 − 36 = 77; 1u = 11; cookies = 5u = 55."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Taylor saved 2 notes in her piggy bank each day for 10 days. Each note was either a $2 note or a $5 note. The total amount of money in the piggy bank was $61. How many of the notes were $2 notes? [?]",
      "answer0": "13",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Total notes = \\(2 \\times 10 = 20\\). If all were $5 notes, total = \\(20 \\times \\$5 = \\$100\\). The shortfall = $100 − $61 = $39. Each $2 note (instead of a $5) reduces the total by $3, so number of $2 notes = $39 ÷ $3 = 13.",
      "hints": ["First find how many notes there are in total.", "Assume all are $5 and see how much the actual total falls short."],
      "source": "Nanyang 2024 P5 Term 1 Weighted Assessment Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2×10 = 20 notes; all $5 → $100; $100 − $61 = $39; $5 − $2 = $3; 39 ÷ 3 = 13 $2 notes."
    }
  ]
}