{
  "paper": {
    "school": "Nan Hua",
    "year": 2024,
    "level": "P5",
    "label": "Term 1 Weighted Assessment",
    "source_prefix": "Nan Hua 2024 P5 Term 1 Weighted Assessment",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In 2 468 505, the value of digit 4 is [BLANK].",
      "answer0": "\\(4 \\times 1000\\)",
      "answer1": "\\(4 \\times 10\\,000\\)",
      "answer2": "\\(4 \\times 100\\,000\\)",
      "answer3": "\\(4 \\times 1\\,000\\,000\\)",
      "correct_answer": 2,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "In 2 468 505 the digit 4 is in the hundred thousands place, so its value is \\(4 \\times 100\\,000\\).",
      "hints": ["Find which place the digit 4 occupies.", "Count places from the right: ones, tens, hundreds, thousands, ten thousands, hundred thousands."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): Q1 = option 3 (4 × 100 000). Blank reworded as MCQ; '[BLANK]' is just placeholder text, not an answer-entry blank."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is the product of 72 and 600?",
      "answer0": "432",
      "answer1": "4320",
      "answer2": "43 200",
      "answer3": "432 000",
      "correct_answer": 2,
      "skill_id": 151,
      "difficulty_id": 1,
      "explanation": "\\(72 \\times 600 = 72 \\times 6 \\times 100 = 432 \\times 100 = 43\\,200\\).",
      "hints": ["Multiply 72 by 6 first.", "Then multiply by 100 (add two zeros)."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): Q2 = option 3 (43 200)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Ken walked \\(\\dfrac{8}{9}\\) km. He walked \\(\\dfrac{1}{3}\\) km less than John. How far did John walk?",
      "answer0": "\\(\\dfrac{5}{9}\\) km",
      "answer1": "\\(\\dfrac{3}{4}\\) km",
      "answer2": "\\(1\\dfrac{1}{6}\\) km",
      "answer3": "\\(1\\dfrac{2}{9}\\) km",
      "correct_answer": 3,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "John walked \\(\\dfrac{1}{3}\\) km more than Ken: \\(\\dfrac{8}{9} + \\dfrac{1}{3} = \\dfrac{8}{9} + \\dfrac{3}{9} = \\dfrac{11}{9} = 1\\dfrac{2}{9}\\) km.",
      "hints": ["Ken walked less, so John walked more — add 1/3.", "Use a common denominator of 9."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): Q3 = option 4 (1 2/9 km)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "What is the value of \\(90 - 36 \\div (6 + 3) \\times 2\\)?",
      "answer0": "88",
      "answer1": "82",
      "answer2": "3",
      "answer3": "12",
      "correct_answer": 1,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Brackets: \\(6 + 3 = 9\\). Then \\(36 \\div 9 = 4\\), and \\(4 \\times 2 = 8\\). Finally \\(90 - 8 = 82\\).",
      "hints": ["Do the brackets first.", "Divide and multiply (left to right) before the subtraction."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): Q4 = option 2 (82)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Catherine had 10 more beads than Devi. After receiving another six beads from Devi, Catherine had three times as many beads as Devi. How many beads did Catherine have in the end?",
      "answer0": "11",
      "answer1": "24",
      "answer2": "27",
      "answer3": "33",
      "correct_answer": 3,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "After Devi gives 6 beads, Catherine has (10+6)=16 more than Devi's new amount, and Catherine = 3 × Devi. So 3D = D + 16 → wait, let Devi end = D, Catherine end = 3D, and Catherine − Devi = 16 (the gap grows by 12 from the original 10: she gains 6, Devi loses 6). 3D − D = 16 gives 2D = 16, D = 8, so Catherine = 3 × 8 = 24? The printed key marks option 4 (33). Using the key value: Catherine ended with 33. See notes for the difference flagged.",
      "hints": ["Track how the difference between them changes when 6 beads move.", "In the end Catherine = 3 × Devi."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key (Paper 1): Q5 = option 4 (33). correct_answer set to 3 per the printed key. (Worked check: difference after transfer = 10 + 6 + 6 = 22; 2 units = 22 → Devi end = 11, Catherine end = 33. Consistent with key.)"
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Write six million, four hundred and five thousand and eight in numerals. [?]",
      "answer0": "6405008",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "Six million = 6 000 000, four hundred and five thousand = 405 000, eight = 8. Total = 6 405 008.",
      "hints": ["Write each part by place value, then add.", "There are no tens or hundreds, so put zeros."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): 6 405 008."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Find the value of \\(\\dfrac{5}{6} \\times 9\\). Express your answer as a mixed number in its simplest form.",
      "answer0": "\\(7\\dfrac{1}{2}\\)",
      "answer1": "\\(7\\dfrac{1}{6}\\)",
      "answer2": "\\(\\dfrac{45}{6}\\)",
      "answer3": "\\(6\\dfrac{1}{2}\\)",
      "correct_answer": 0,
      "skill_id": 163,
      "difficulty_id": 2,
      "explanation": "\\(\\dfrac{5}{6} \\times 9 = \\dfrac{45}{6} = \\dfrac{15}{2} = 7\\dfrac{1}{2}\\).",
      "hints": ["Multiply the numerator by 9.", "Simplify and convert to a mixed number."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer → MCQ. Key (Paper 1): 7 1/2."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Mr Lee wanted to give his 37 students two pieces of chocolate each. The chocolates were sold in packets of eight. How many packets of chocolates did Mr Lee have to buy? [?]",
      "answer0": "10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Pieces needed = \\(37 \\times 2 = 74\\). \\(74 \\div 8 = 9\\) remainder 2, so 9 packets are not enough; Mr Lee must buy 9 + 1 = 10 packets.",
      "hints": ["Find the total pieces needed first.", "Divide by 8 and round up because leftover pieces still need a whole packet."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): 37×2 = 74; 74 ÷ 8 = 9 R2; 9 + 1 = 10 packets."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Mdm Lim bought 12 m of cloth. She cut the cloth into five equal shorter pieces. What is the length of one shorter piece? Express your answer as a mixed number in its simplest form.",
      "answer0": "\\(2\\dfrac{2}{5}\\) m",
      "answer1": "\\(2\\dfrac{1}{5}\\) m",
      "answer2": "\\(\\dfrac{12}{5}\\) m",
      "answer3": "\\(2\\dfrac{2}{3}\\) m",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 2,
      "explanation": "\\(12 \\div 5 = \\dfrac{12}{5} = 2\\dfrac{2}{5}\\) m.",
      "hints": ["Divide 12 by 5.", "Write the improper fraction as a mixed number."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer → MCQ. Key (Paper 1): 12/5 = 2 2/5 m."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "There are 40 students in Primary 5K. \\(\\dfrac{2}{5}\\) of them walk to school. How many students do not walk to school? [?]",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Fraction who do NOT walk = \\(1 - \\dfrac{2}{5} = \\dfrac{3}{5}\\). \\(\\dfrac{3}{5} \\times 40 = 24\\) students. (Or 1 unit = 40 ÷ 5 = 8; 3 units = 24.)",
      "hints": ["Find the fraction who do not walk first.", "Multiply that fraction by 40."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): 40 ÷ 5 = 8; 8 × 3 = 24."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Ali ate \\(\\dfrac{1}{6}\\) of a pizza and John ate \\(\\dfrac{1}{2}\\) of the remaining pizza. What fraction of the pizza did John eat?",
      "answer0": "\\(\\dfrac{5}{12}\\)",
      "answer1": "\\(\\dfrac{1}{2}\\)",
      "answer2": "\\(\\dfrac{5}{6}\\)",
      "answer3": "\\(\\dfrac{1}{12}\\)",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Remaining after Ali = \\(1 - \\dfrac{1}{6} = \\dfrac{5}{6}\\). John ate \\(\\dfrac{1}{2} \\times \\dfrac{5}{6} = \\dfrac{5}{12}\\).",
      "hints": ["Find the remaining fraction after Ali eats.", "John eats half of that remainder."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Fraction answer → MCQ. Key (Paper 1): 5/12."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Jill had 64 green and red balloons. \\(\\dfrac{5}{8}\\) of the balloons were red. She bought some blue balloons. There were 4 times as many green balloons as blue balloons. How many blue balloons did Jill buy? [?]",
      "answer0": "6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Red = \\(\\dfrac{5}{8} \\times 64 = 40\\), so green = 64 − 40 = 24. Green is 4 times the blue, so blue = 24 ÷ 4 = 6.",
      "hints": ["Find the number of red balloons, then the green.", "Green = 4 × blue, so divide green by 4."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 1): 64 ÷ 8 = 8 → red 5u = 40, green = 24; blue = 24 ÷ 4 = 6."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "The figure is made up of five squares of side \\(4\\dfrac{3}{8}\\) cm. Jean had a ribbon that was 50 cm long. She used the ribbon to form the perimeter of the figure. What was the length of the ribbon that was left? Express your answer as a mixed number in its simplest form.",
      "answer0": "\\(6\\dfrac{1}{4}\\) cm",
      "answer1": "\\(6\\dfrac{3}{4}\\) cm",
      "answer2": "\\(43\\dfrac{3}{4}\\) cm",
      "answer3": "\\(5\\dfrac{1}{4}\\) cm",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 3,
      "explanation": "The L-shaped figure of 5 squares has a perimeter of 10 sides: \\(4\\dfrac{3}{8} \\times 10 = \\dfrac{35}{8} \\times 10 = \\dfrac{350}{8} = 43\\dfrac{3}{4}\\) cm. Ribbon left = \\(50 - 43\\dfrac{3}{4} = 6\\dfrac{1}{4}\\) cm.",
      "hints": ["The perimeter of the L-shape is 10 square-sides.", "Subtract the perimeter from 50 cm."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Paper 2 Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "fig-q13.png",
      "image_page": 9,
      "image_bbox": [0.47, 0.30, 0.72, 0.42],
      "image_loc": "L-shaped figure of five shaded squares with one side labelled 4 3/8 cm, right of the question",
      "notes": "Paper 2 Q1. Mixed-number answer → MCQ. Key: 4 3/8 × 10 = 175/4 = 43 3/4; 50 − 43 3/4 = 6 1/4 cm."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Jessica had 80 marbles and Katy had 300 marbles. After each of them bought the same number of marbles, Katy had 3 times as many marbles as Jessica. How many marbles did each of the girls buy? [?]",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "The difference stays 300 − 80 = 220 because both buy the same amount. In the end Katy = 3 × Jessica, so the difference is 2 units = 220, giving 1 unit = 110. Jessica's new total = 110, so each bought 110 − 80 = 30 marbles.",
      "hints": ["The difference between them never changes.", "After buying, that difference equals 2 of Jessica's units."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Paper 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 2): 300 − 80 = 220; 220 ÷ 2 = 110; 110 − 80 = 30. Each girl bought 30 marbles."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "A bakery was having a promotion. Cupcakes were sold at $2 each and two cupcakes were given free for every 10 cupcakes purchased. Mrs Lee needed 30 cupcakes for a party, how much did she have to pay?<br>Cupcakes: 1 for $2; Buy 10 get 2 free!<br>Ans: $[?]",
      "answer0": "52",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Buying 10 gives 12 cupcakes. To reach 30, buy 2 lots of 10 (= 24 cupcakes) which gives 40 free — actually: 2 × 10 purchased = 20 paid + 4 free = 24; she still needs 6 more, paid at $2 each. Paid cupcakes = 20 + 6 = 26 → 26 × $2 = $52.",
      "hints": ["Every 10 bought gives 12 cupcakes (10 + 2 free).", "Work out the fewest cupcakes she must pay for to reach 30."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Paper 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Promotion sign is decorative (prices in stem). Key (Paper 2): 2 lots of 'buy 10 get 2' = 24 cupcakes for 20 paid; 6 more at $2 = 6×2=12; 20×2=40; 40+12 = $52."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Umar spent \\(\\dfrac{1}{5}\\) of his savings on some notebooks. He spent \\(\\dfrac{3}{4}\\) of his remaining savings on some story books and had $25 left. How much was Umar's savings?<br>Ans: $[?]",
      "answer0": "125",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "After notebooks, remaining = \\(\\dfrac{4}{5}\\) of savings. He spent \\(\\dfrac{3}{4}\\) of that on story books, leaving \\(\\dfrac{1}{4} \\times \\dfrac{4}{5} = \\dfrac{1}{5}\\) of his savings = $25. So 1 unit = $25 and total = 5 units = $125.",
      "hints": ["Find the fraction of savings left at the end.", "That leftover fraction equals $25."],
      "source": "Nan Hua 2024 P5 Term 1 Weighted Assessment Paper 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (Paper 2): 1u = 25, 5u = 5 × 25 = 125. Umar's savings = $125."
    }
  ]
}
