{
  "paper": {
    "school": "Nan Hua",
    "year": 2024,
    "level": "P4",
    "label": "Term 3 Review",
    "source_prefix": "Nan Hua 2024 P4 Term 3 Review",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Arrange the following decimals in increasing order.<br>3.051, 3.101, 3.011, 3.105",
      "answer0": "3.011, 3.051, 3.101, 3.105",
      "answer1": "3.011, 3.105, 3.051, 3.101",
      "answer2": "3.105, 3.011, 3.101, 3.051",
      "answer3": "3.105, 3.101, 3.051, 3.011",
      "correct_answer": 0,
      "skill_id": 124,
      "difficulty_id": 1,
      "explanation": "Compare digit by digit. In increasing (smallest to greatest) order: 3.011, 3.051, 3.101, 3.105. Answer: option (1).",
      "hints": ["The whole-number part is 3 for all; compare the tenths first, then hundredths, then thousandths.", "0.011 < 0.051 < 0.101 < 0.105."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Round 53.695 to the nearest hundredth.",
      "answer0": "53.60",
      "answer1": "53.69",
      "answer2": "53.70",
      "answer3": "54.00",
      "correct_answer": 2,
      "skill_id": 128,
      "difficulty_id": 1,
      "explanation": "Nearest hundredth means 2 decimal places. The thousandths digit is 5, so round the hundredths up: 53.695 rounds to 53.70. Answer: option (3).",
      "hints": ["Hundredth = 2 decimal places.", "The digit after the hundredths is 5, so round up."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Express \\(7\\dfrac{8}{25}\\) as a decimal.",
      "answer0": "7.08",
      "answer1": "7.25",
      "answer2": "7.32",
      "answer3": "7.80",
      "correct_answer": 2,
      "skill_id": 127,
      "difficulty_id": 1,
      "explanation": "Convert the fraction: \\(\\dfrac{8}{25}=\\dfrac{32}{100}=0.32\\). So \\(7\\dfrac{8}{25}=7.32\\). Answer: option (3).",
      "hints": ["Make the denominator 100: multiply top and bottom of \\(\\dfrac{8}{25}\\) by 4.", "\\(\\dfrac{32}{100}=0.32\\)."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Express 6.07 as a fraction.",
      "answer0": "\\(6\\dfrac{1}{7}\\)",
      "answer1": "\\(6\\dfrac{7}{10}\\)",
      "answer2": "\\(6\\dfrac{7}{100}\\)",
      "answer3": "\\(6\\dfrac{7}{1000}\\)",
      "correct_answer": 2,
      "skill_id": 126,
      "difficulty_id": 1,
      "explanation": "6.07 has 7 in the hundredths place, so 6.07 = \\(6\\dfrac{7}{100}\\). Answer: option (3).",
      "hints": ["The last digit 7 is in the hundredths place.", "0.07 = \\(\\dfrac{7}{100}\\)."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "A bag of cookies cost $5.60. Jenny bought 6 bags and gave the cashier $50. How much change did she get?",
      "answer0": "$6.40",
      "answer1": "$16.40",
      "answer2": "$33.60",
      "answer3": "$44.40",
      "correct_answer": 1,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "Cost of 6 bags = 6 × $5.60 = $33.60. Change = $50 − $33.60 = $16.40. Answer: option (2).",
      "hints": ["First find the total cost of 6 bags.", "Change = amount given − total cost."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Ribbon A is 4 times as long as Ribbon B. The total length of Ribbon A and Ribbon B is 11 m long. What is the length of the Ribbon B?",
      "answer0": "2.2 m",
      "answer1": "2.75 m",
      "answer2": "8.25 m",
      "answer3": "8.8 m",
      "correct_answer": 0,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "Ribbon B = 1 unit, Ribbon A = 4 units, total = 5 units = 11 m. So 1 unit = 11 ÷ 5 = 2.2 m. Ribbon B = 2.2 m. Answer: option (1).",
      "hints": ["Let Ribbon B be 1 unit; Ribbon A is 4 units.", "Total of 5 units = 11 m, so 1 unit = 11 ÷ 5."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "ABCD is a rectangle. ∠DBC = 68°. Find ∠ABD.<br>Ans: [?]°",
      "answer0": "22",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "In rectangle ABCD, ∠ABC = 90°. ∠ABD = ∠ABC − ∠DBC = 90° − 68° = 22°.",
      "hints": ["A rectangle has right angles, so ∠ABC = 90°.", "∠ABD = 90° − 68°."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 5,
      "image_bbox": [0.16, 0.25, 0.56, 0.40],
      "image_loc": "upper-left of page, rectangle ABCD with diagonal and 68 degree angle marked at B",
      "notes": "Key: 22 degrees. Answer entered in degrees."
    },
    {
      "n": 8,
      "type_id": 0,
      "question": "In the grid, draw and label the square PQRS. Lines PQ and PS have been drawn for you.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "Complete the square PQRS by drawing PQ as one side and PS as an adjacent equal side; R is found so PQRS is a square (QR parallel and equal to PS, RS parallel and equal to PQ).",
      "hints": [],
      "source": "Nan Hua 2024 P4 Term 3 Review Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 5,
      "image_bbox": [0.28, 0.48, 0.72, 0.77],
      "image_loc": "lower half of page, grid with points P, Q, S and lines PQ, PS drawn",
      "notes": "Interactive draw-on-grid task (no app question type). Key: student draws and labels square PQRS. type_id 0 - skipped on insert."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "There were eight flags placed around a rectangular garden at equal distance apart. Starting from one corner, every two flags were placed 2.6 m apart. What was the total distance around the garden formed by the eight flags?<br>Ans: [?] m",
      "answer0": "20.8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "Eight flags placed at equal distances around the garden form 8 equal gaps of 2.6 m. Total distance = 8 × 2.6 = 20.8 m.",
      "hints": ["Eight flags equally spaced around a closed shape make 8 equal gaps.", "Total = 8 × 2.6 m."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 6,
      "image_bbox": [0.17, 0.18, 0.45, 0.34],
      "image_loc": "left of page, two flags above a rectangle labelled Garden with 2.6 m gap marked",
      "notes": "Key: 20.8 m (8 x 2.6)."
    },
    {
      "n": 10,
      "type_id": 0,
      "question": "The figure is made up of Rectangle A, Square B and Square C and they are not drawn to scale. Each of the statements below is either true, false or not possible to tell from the information given. Put a tick to indicate your answer. (i) Rectangle A, Square B and Square C each have 2 pairs of parallel lines only. (ii) Rectangle A, Square B and Square C each have 2 pairs of perpendicular lines only. (iii) WXYZ is a square.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "(i) True — a rectangle and a square each have exactly 2 pairs of parallel sides. (ii) False — each has 4 pairs of perpendicular (adjacent) sides, not 2. (iii) Not possible to tell — the figure is not drawn to scale, so we cannot tell whether WXYZ is a square.",
      "hints": [],
      "source": "Nan Hua 2024 P4 Term 3 Review Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 6,
      "image_bbox": [0.29, 0.42, 0.55, 0.57],
      "image_loc": "middle of page, figure WXYZ split into Rectangle A, Square B and Square C",
      "notes": "Interactive tick-the-table task (no app question type). Key: (i) True, (ii) False, (iii) Not possible to tell. type_id 0 - skipped on insert."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "The price of pens sold in a shop is shown.<br>One pen costs $1.10<br>A pack of four pens costs $3.75<br>Claire wants to buy 13 pens. What is the least amount of money she has to pay?<br>Ans: $[?]",
      "answer0": "12.35",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "13 ÷ 4 = 3 remainder 1, so buy 3 packs (12 pens) and 1 single pen. 3 packs = 3 × $3.75 = $11.25. Plus 1 pen = $1.10. Least total = $11.25 + $1.10 = $12.35.",
      "hints": ["Packs of 4 are cheaper per pen than buying singles.", "13 pens = 3 packs (12 pens) + 1 single pen."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $12.35."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Mr Tan had $65 more than Mr Lim. After Mr Tan spent $80.60, Mr Lim had twice as much money as Mr Tan had left. How much money did Mr Tan have at first?<br>Ans: $[?]",
      "answer0": "96.20",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "Let Mr Lim have L. Mr Tan had L + $65; after spending $80.60 he had L + 65 − 80.60 = L − 15.60. This equals half of Lim's money: L = 2(L − 15.60) = 2L − 31.20, so L = $31.20. Mr Tan at first = $31.20 + $65 = $96.20.",
      "hints": ["Mr Tan left = Mr Lim ÷ 2.", "Mr Tan first = Mr Lim + $65; set up the equation and solve for Mr Lim."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $96.20. (Key working: 80.60-65=15.60; 15.60x2=31.20; 31.20+65=96.20.)"
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "At the standing broad jump station, Ben jumped 0.23 m more than Ivan while James jumped 0.15 m more than Ben. If the three boys jumped a total distance 4.21 m, how far did Ivan jump?<br>Ans: [?] m",
      "answer0": "1.20",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "Ivan = I. Ben = I + 0.23. James = Ben + 0.15 = I + 0.38. Total: I + (I + 0.23) + (I + 0.38) = 4.21, so 3I + 0.61 = 4.21. Subtract the extras: 4.21 − 0.23 − 0.23 − 0.15 = 3.60, then 3.60 ÷ 3 = 1.20. Ivan jumped 1.20 m.",
      "hints": ["Write Ben and James in terms of Ivan's jump.", "Take away the extra distances, then divide the remaining total by 3."],
      "source": "Nan Hua 2024 P4 Term 3 Review Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1.20 m (key working: 4.21-0.23-0.23-0.15=3.60; 3.60/3=1.20)."
    }
  ]
}