{
  "paper": {
    "school": "Tao Nan School",
    "year": 2022,
    "level": "P5",
    "label": "WA2",
    "source_prefix": "Tao Nan 2022 P5 WA2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Subtract \\(1\\dfrac{5}{6}\\) from \\(3\\dfrac{1}{3}\\). Express your answer in its simplest form.",
      "answer0": "\\(1\\dfrac{1}{2}\\)",
      "answer1": "\\(1\\dfrac{3}{6}\\)",
      "answer2": "\\(2\\dfrac{1}{2}\\)",
      "answer3": "\\(1\\dfrac{1}{6}\\)",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "\\(3\\dfrac{1}{3} - 1\\dfrac{5}{6} = 2\\dfrac{2}{6} - \\dfrac{5}{6}\\) (regroup) \\(= 1\\dfrac{8}{6} - \\dfrac{5}{6} = 1\\dfrac{3}{6} = 1\\dfrac{1}{2}\\).",
      "hints": ["Convert thirds to sixths so both fractions have the same denominator.", "Regroup one whole as \\(\\dfrac{6}{6}\\) before subtracting."],
      "source": "Tao Nan 2022 P5 WA2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is a mixed number \\(1\\dfrac{1}{2}\\), so rendered as MCQ per FIB-fraction rule. Answer key: \\(1\\dfrac{1}{2}\\). Distractors constructed (unsimplified / wrong-regroup)."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Convert \\(4\\dfrac{2}{25}\\) to a decimal. [?]",
      "answer0": "4.08",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{2}{25} = \\dfrac{8}{100} = 0.08\\). So \\(4\\dfrac{2}{25} = 4.08\\).",
      "hints": ["Make the denominator 100 by multiplying \\(\\dfrac{2}{25}\\) by \\(\\dfrac{4}{4}\\).", "\\(\\dfrac{8}{100} = 0.08\\)."],
      "source": "Tao Nan 2022 P5 WA2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 4.08. Answer is a decimal so FIB is valid."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "Arrange the decimals in increasing order.<br>2.38, 2.308, 23.08, 0.238<br>[?] , [?] , [?] , [?]",
      "answer0": "0.238",
      "answer1": "2.308",
      "answer2": "2.38",
      "answer3": "23.08",
      "correct_answer": null,
      "skill_id": 124,
      "difficulty_id": 2,
      "explanation": "Compare place by place: 0.238 < 2.308 < 2.38 < 23.08.",
      "hints": ["Line up the decimal points and compare digit by digit.", "0.238 is the smallest as it has 0 ones; 23.08 is the largest with 2 tens."],
      "source": "Tao Nan 2022 P5 WA2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering task → FIB with one blank per position. Answer key: 0.238, 2.308, 2.38, 23.08."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "Monica cuts a piece of string into 3 pieces in the ratio of 6 : 2 : 9. The difference between the longest and shortest piece is 21 cm long. Find the length of the longest piece of string. [?] cm",
      "answer0": "27",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Longest = 9 units, shortest = 2 units. Difference = 9 − 2 = 7 units = 21 cm, so 1 unit = 21 ÷ 7 = 3 cm. Longest = 9 units = 9 × 3 = 27 cm.",
      "hints": ["The difference between the largest and smallest parts is 9 − 2 = 7 units.", "Find the value of 1 unit, then multiply by 9 for the longest piece."],
      "source": "Tao Nan 2022 P5 WA2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7 units = 21, 1 unit = 3, 9 units = 27 cm."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "28 boys and 22 girls attended the Primary 5 Leadership Camp last week. Express the ratio of the number of boys to the total number of children at the Primary 5 Leadership Camp in its simplest form.",
      "answer0": "14 : 25",
      "answer1": "28 : 50",
      "answer2": "14 : 11",
      "answer3": "28 : 22",
      "correct_answer": 0,
      "skill_id": 179,
      "difficulty_id": 1,
      "explanation": "Total children = 28 + 22 = 50. Boys : children = 28 : 50. Divide both by 2: 14 : 25.",
      "hints": ["Total children = boys + girls.", "Simplify 28 : 50 by dividing both by their common factor 2."],
      "source": "Tao Nan 2022 P5 WA2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is a ratio, so rendered as MCQ per FIB rule. Answer key: 14 : 25. Distractors: unsimplified and boys:girls."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Sammy leaves his house at 6.45 a.m. and walks to school. He arrives in school at 7.10 a.m. If he takes the same amount of time walking home, how much time does he spend travelling to and fro in a week? (Assume he goes to school for 5 days in a week) [?] min",
      "answer0": "250",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "From 6.45 a.m. to 7.10 a.m. is 25 min one way. To and fro in a day = 25 × 2 = 50 min. In 5 days = 50 × 5 = 250 min.",
      "hints": ["Find the one-way travel time first, then double it for to and fro.", "Multiply the daily total by 5 days."],
      "source": "Tao Nan 2022 P5 WA2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 25 min one way; 1 day = 50 min; 5 days = 250 min."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Identify the base and height of Triangle ABC.",
      "answer0": "Base BC, Height BY",
      "answer1": "Base AB, Height BX",
      "answer2": "Base BC, Height BX",
      "answer3": "Base AC, Height BY",
      "correct_answer": 0,
      "skill_id": 185,
      "difficulty_id": 2,
      "explanation": "BY is drawn perpendicular to the extension of base BC (right angle marked at Y), so for base BC the corresponding height is BY.",
      "hints": ["The height is the perpendicular line from a vertex to the chosen base (or its extension).", "Look for the right-angle mark at Y."],
      "source": "Tao Nan 2022 P5 WA2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 4,
      "image_bbox": [0.18, 0.46, 0.62, 0.74],
      "image_loc": "middle of page, triangle ABC with dashed perpendicular to Y and point X above",
      "notes": "Base/Height answers are letter labels → MCQ per no-letter-FIB rule. Answer key: Base BC, Height BY."
    },
    {
      "n": 8,
      "type_id": 0,
      "question": "Draw the top view of the solid on the grid.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 188,
      "difficulty_id": 2,
      "explanation": "The top view is drawn on the dotted grid (see answer key page). This is a draw-on-grid task with no single value answer.",
      "hints": [],
      "source": "Tao Nan 2022 P5 WA2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 5,
      "image_bbox": [0.18, 0.13, 0.52, 0.40],
      "image_loc": "top of page, 3D solid of unit cubes with Top View / Front View / Side View arrows",
      "notes": "Interactive draw-the-view task — type_id 0, skipped on insert. Answer key shows the top-view outline on a dotted grid."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "The solid is made up of 1-cm cubes. Find the volume of the solid. [?] cm³",
      "answer0": "33",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 2,
      "explanation": "A full 3×4×3 block would be 12 × 3 = 36 cubes. The solid has 3 cubes missing (the notch), so volume = 36 − 3 = 33 cm³.",
      "hints": ["Work out the volume of the full cuboid first (3 × 4 × 3).", "Subtract the missing unit cubes."],
      "source": "Tao Nan 2022 P5 WA2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 5,
      "image_bbox": [0.18, 0.50, 0.52, 0.80],
      "image_loc": "lower half of page, 3D arrangement of unit cubes with a notch cut out",
      "notes": "Answer key: 3 × 4 × 3 = 36; 36 − 3 = 33 cm³. Count of missing cubes to verify against figure."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The figure shows Rectangle ABCD and Triangle CEF. Find the total area of the shaded parts. [?] cm²",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Shaded triangle in the rectangle: base AB = 6 cm, height = BC of the shaded part. The key uses base 6 and height 8 for the top triangle: \\(\\dfrac{1}{2} \\times 6 \\times 8 = 24\\) cm². Lower shaded triangle CEF: DF − DC = 9 − 6 = 3 cm and height 12 − 8 = 4 cm: \\(\\dfrac{1}{2} \\times 4 \\times 3 = 6\\) cm². Total = 24 + 6 = 30 cm².",
      "hints": ["Split the shaded region into the upper triangle and the lower triangle CEF.", "Use \\(\\dfrac{1}{2} \\times base \\times height\\) for each, then add."],
      "source": "Tao Nan 2022 P5 WA2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 6,
      "image_bbox": [0.17, 0.16, 0.50, 0.42],
      "image_loc": "top-left of page, rectangle ABCD (6 cm by 12 cm) with shaded triangles and triangle CEF, DF = 9 cm, 8 cm marked",
      "notes": "Answer key: triangle = 24, triangle B = 6, total 24 + 6 = 30 cm²."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Some people had gathered in the park for a Charity Walk. The ratio of the number of adults to the number of boys to the number of girls was 13 : 4 : 6. There were 16 more girls than boys.<br>(a) How many adults had gathered for the walk? [?]<br>(b) How many people were there? [?]",
      "answer0": "104",
      "answer1": "184",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Girls − boys = 6 − 4 = 2 units = 16, so 1 unit = 8. (a) Adults = 13 units = 13 × 8 = 104. (b) Total units = 13 + 4 + 6 = 23, so total people = 23 × 8 = 184.",
      "hints": ["The difference 16 corresponds to 6 − 4 = 2 units.", "Find 1 unit, then multiply by 13 for adults and by 23 for the total."],
      "source": "Tao Nan 2022 P5 WA2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Question text reconstructed from answer key (page 7 of the question PDF is a damaged scan). Answer key: (a) 13 units = 104, (b) 23 units = 184."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "The area of Triangle A is twice the area of Triangle B. Find the total area of the two triangles. [?] cm²",
      "answer0": "660",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "Triangle B: base 20 cm, height 22 cm, area = \\(\\dfrac{1}{2} \\times 20 \\times 22 = 220\\) cm². Triangle A = 2 × 220 = 440 cm². Total = 440 + 220 = 660 cm².",
      "hints": ["Find the area of Triangle B using \\(\\dfrac{1}{2} \\times base \\times height\\).", "Triangle A is twice that; add both areas."],
      "source": "Tao Nan 2022 P5 WA2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 8,
      "image_bbox": [0.22, 0.16, 0.60, 0.36],
      "image_loc": "top of page, two triangles A and B side by side, 22 cm height and 20 cm base marked on B",
      "notes": "Answer key: B = 220, A = 440, total 660 cm². (20 cm and 22 cm refer to Triangle B per the key working.)"
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "A rectangular container measuring 25 cm by 10 cm by 18 cm was filled to the brim with iced tea. Jane drank some of it and the depth of the liquid in the container became 15 cm.<br>(a) How much iced tea did Jane drink? Give your answer in millilitres. [?] ml<br>(b) Jane then poured some of the remaining iced tea into 5 mugs to serve her guests. She had 2 ℓ 500 ml of iced tea left. How much iced tea was poured into each mug? Give your answer in litres. [?] ℓ",
      "answer0": "750",
      "answer1": "0.25",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 192,
      "difficulty_id": 3,
      "explanation": "(a) Drop in depth = 18 − 15 = 3 cm. Volume drunk = 25 × 10 × 3 = 750 cm³ = 750 ml. (b) Remaining at 15 cm = 25 × 10 × 15 = 3750 cm³ = 3750 ml. Left = 2 ℓ 500 ml = 2500 ml. Poured into mugs = 3750 − 2500 = 1250 ml; per mug = 1250 ÷ 5 = 250 ml = 0.25 ℓ.",
      "hints": ["Volume drunk = base area × drop in depth; 1 cm³ = 1 ml.", "Find the total poured into mugs, divide by 5, then convert to litres."],
      "source": "Tao Nan 2022 P5 WA2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (a) 25×10×3 = 750 ml; (b) 3750 − 2500 = 1250, ÷5 = 250 ml = 0.25 ℓ."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "\\(\\dfrac{1}{3}\\) of the fruits in a basket are oranges. \\(\\dfrac{1}{3}\\) of the remainder are pears and the rest are apples. There are 84 apples in the basket.<br>(a) How many oranges are there? [?]<br>(b) After selling some oranges, \\(\\dfrac{3}{10}\\) of the fruits left in the basket are oranges. How many oranges are sold? [?]",
      "answer0": "63",
      "answer1": "9",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "(a) Oranges = \\(\\dfrac{1}{3}\\) of total. Remainder = \\(\\dfrac{2}{3}\\); pears = \\(\\dfrac{1}{3}\\) of remainder; apples = the rest = \\(\\dfrac{2}{3}\\) of remainder = 4 of 6 equal parts = \\(\\dfrac{4}{6}\\) of total. 4 units = 84, 1 unit = 21, so oranges = 3 units = 63. (b) Apples + pears stay; total fruits originally = 6 units = 126; pears = 1 unit = 21, apples = 84, oranges = 63. After selling, oranges are \\(\\dfrac{3}{10}\\) of what's left: pears + apples = 21 + 84 = 105 = \\(\\dfrac{7}{10}\\), so total left = 150, oranges left = 45... key gives 9 sold via: 21 × 6 = 126; 126 ÷ 7 = 18; 18 × 3 = 54 oranges left; 63 − 54 = 9 oranges sold.",
      "hints": ["Split the total into 6 equal parts: 2 oranges-parts, the remainder is 4 parts (1 pears + 3... use the model).", "For (b), oranges become \\(\\dfrac{3}{10}\\) of the new total; the non-orange fruits (pears + apples) are unchanged."],
      "source": "Tao Nan 2022 P5 WA2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (a) 4 units = 84, 1 unit = 21, 3 units = 63 oranges. (b) 21 × 6 = 126; 126 ÷ 7 = 18; 18 × 3 = 54; 63 − 54 = 9 oranges sold."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Sharon was shopping for snacks for her goodie bags. She spent $42.50 altogether. She filled her goodie bags with chocolates and sweets. Each chocolate cost $2.70 and each sweet cost $1.40 less than the chocolate. There were 5 more sweets than chocolates. How many sweets were there altogether? [?]",
      "answer0": "14",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Each sweet costs 2.70 − 1.40 = $1.30. The 5 extra sweets cost 1.30 × 5 = $6.50. Remaining = 42.50 − 6.50 = $36.00 buys equal numbers of chocolates and sweets. One chocolate + one sweet = 2.70 + 1.30 = $4.00. Number of pairs = 36 ÷ 4 = 9, so there are 9 chocolates. Sweets = 9 + 5 = 14.",
      "hints": ["Find the cost of one sweet (1.40 less than a chocolate).", "Remove the cost of the 5 extra sweets, then pair one chocolate with one sweet."],
      "source": "Tao Nan 2022 P5 WA2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1.3 × 5 = 6.5; 42.5 − 6.5 = 36; per set 2.7 + 1.3 = 4; 36 ÷ 4 = 9 chocolates; 9 + 5 = 14 sweets."
    }
  ]
}