{
  "paper": {
    "school": "Methodist Girls' School",
    "year": 2025,
    "level": "P6",
    "label": "WA2",
    "source_prefix": "Methodist Girls' School 2025 P6 WA2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Express 1.6 as a percentage.<br>[?] %",
      "answer0": "160",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 173,
      "difficulty_id": 1,
      "explanation": "To convert a number to a percentage, multiply by 100%. \\(1.6 \\times 100\\% = 160\\%\\).",
      "hints": ["Multiply the number by 100.", "1.6 × 100 = 160"],
      "source": "Methodist Girls' School 2025 P6 WA2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 160%."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "43% of a number is 344. What is the number?<br>[?]",
      "answer0": "800",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 207,
      "difficulty_id": 2,
      "explanation": "43% corresponds to 344, so 1% = \\(344 \\div 43 = 8\\). The whole (100%) = \\(8 \\times 100 = 800\\).",
      "hints": ["Find the value of 1% first.", "1% = 344 ÷ 43 = 8, then × 100."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 800."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "What is the missing number in the box?<br>\\(45 : 18 = 10 : \\square\\)",
      "answer0": "4",
      "answer1": "5",
      "answer2": "25",
      "answer3": "2",
      "correct_answer": 0,
      "skill_id": 181,
      "difficulty_id": 2,
      "explanation": "Simplify \\(45 : 18\\) by dividing both by 9 to get \\(5 : 2\\). Scale up by 2 to get \\(10 : 4\\), so the missing number is 4.",
      "hints": ["Simplify 45 : 18 to its simplest form.", "5 : 2 scaled to 10 gives 10 : 4."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ratio missing-term answer (4) made MCQ. Answer key: 10 : 4."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "There are 70 books in the class library. 28 of them are fiction books and the rest are non-fiction. What percentage of the books are non-fiction?<br>[?] %",
      "answer0": "60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Non-fiction books = \\(70 - 28 = 42\\). Percentage = \\(\\dfrac{42}{70} \\times 100\\% = 60\\%\\).",
      "hints": ["Find the number of non-fiction books first.", "42 out of 70 as a percentage."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 60%."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Jason played 21 badminton matches in a week. His brother played 14 fewer matches than Jason. Find the ratio of the number of matches Jason played to the total number of matches both boys played.",
      "answer0": "\\(3 : 4\\)",
      "answer1": "\\(3 : 7\\)",
      "answer2": "\\(4 : 3\\)",
      "answer3": "\\(21 : 7\\)",
      "correct_answer": 0,
      "skill_id": 180,
      "difficulty_id": 2,
      "explanation": "Brother played \\(21 - 14 = 7\\) matches. Total = \\(21 + 7 = 28\\). Ratio Jason : total = \\(21 : 28 = 3 : 4\\) (dividing by 7).",
      "hints": ["Find how many matches the brother played.", "Jason : total = 21 : 28, simplify."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ratio answer made MCQ. Answer key: 3 : 4."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "ABCD is a square made up of 4 identical smaller squares. What is the ratio of the shaded area to the area of ABCD?",
      "answer0": "\\(3 : 8\\)",
      "answer1": "\\(6 : 16\\)",
      "answer2": "\\(3 : 16\\)",
      "answer3": "\\(1 : 4\\)",
      "correct_answer": 0,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Let each small square have side \\(2u\\). Shaded triangle x = \\(\\tfrac{1}{2} \\times 2u \\times 4u = 4u^2\\); shaded triangle y = \\(\\tfrac{1}{2} \\times 2u \\times 2u = 2u^2\\); total shaded = \\(6u^2\\). Whole square = \\(4u \\times 4u = 16u^2\\). Ratio = \\(6 : 16 = 3 : 8\\).",
      "hints": ["Find the area of each shaded triangle in terms of the small-square side.", "Total shaded : whole square = 6 : 16, simplify."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 2,
      "image_bbox": [0.15, 0.58, 0.42, 0.76],
      "image_loc": "left side, square ABCD with two shaded triangles below the question",
      "notes": "Ratio answer made MCQ. Answer key: 3 : 8. Figure (square ABCD divided into 4 with shaded triangles) needed."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The pie chart shows the number of ice creams sold for each flavour. The ratio of the number of vanilla ice creams sold to the number of strawberry ice creams sold is 1 : 4. Complete the table.<br>Chocolate — number sold: [?]<br>Chocolate — percentage sold: [?] %<br>Strawberry — number sold: [?]<br>Vanilla — percentage sold: [?] %",
      "answer0": "60",
      "answer1": "37.5",
      "answer2": "80",
      "answer3": "12.5",
      "correct_answer": null,
      "skill_id": 235,
      "difficulty_id": 2,
      "explanation": "Vanilla : strawberry = 1 : 4, vanilla = 20, so strawberry = 80. Chocolate = 80 (marked on chart) so total = 20 + 80 + 80? Using key: strawberry 80 = 50%, so total = 160. Vanilla = 20 = 12.5%; chocolate = 160 - 20 - 80 = 60 = 37.5%.",
      "hints": ["Strawberry is 50% of the total, so total = 80 × 2 = 160.", "Chocolate = total − vanilla − strawberry."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 3,
      "image_bbox": [0.32, 0.12, 0.6, 0.29],
      "image_loc": "top-centre pie chart (Vanilla 20, Chocolate, Strawberry, 80)",
      "notes": "Table completion. Blanks in order: Chocolate number (60), Chocolate % (37.5), Strawberry number (80), Vanilla % (12.5). Answer key: Vanilla 20/12.5%, Chocolate 60/37.5%, Strawberry 80/50%."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Ramli was 120 cm tall last year. This year, his height increased to 130.8 cm. Find the percentage increase in his height.<br>[?] %",
      "answer0": "9",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 208,
      "difficulty_id": 2,
      "explanation": "Increase = \\(130.8 - 120 = 10.8\\) cm. Percentage increase = \\(\\dfrac{10.8}{120} \\times 100\\% = 9\\%\\).",
      "hints": ["Find the increase in height first.", "Percentage increase = increase ÷ original × 100%."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 9%."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Halim had some blue and red balloons. At first, 30% of the balloons were blue. After he gave away 20 blue balloons, the percentage of blue balloons Halim had become 20%. How many balloons were left in the end?<br>[?]",
      "answer0": "140",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 209,
      "difficulty_id": 3,
      "explanation": "The red balloons never change. Before: blue : red = 30 : 70 = 3 : 7 = 24 : 56. After: blue : red = 20 : 80 = 2 : 8 = 14 : 56 (red kept at 56 units). Blue dropped from 24u to 14u, a fall of 10u = 20 balloons, so 1u = 2. Total left = blue + red = 14 + 56 = 70u = 140.",
      "hints": ["The number of red balloons does not change — keep red units equal.", "Match red units: 24 : 56 and 14 : 56; the drop of 10 units = 20 balloons."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 140."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "The bar graph represents the number of pupils in 4 CCAs at a school. 50% of the pupils are in Art Club and Floorball. The bar for Media Club is not shown. The same information is also represented by a pie chart, with the CCAs labelled W, X, Y and Z. Match the labels W, X, Y and Z to Art Club, Media Club, Dance Club and Floorball respectively.",
      "answer0": "Art Club = Y, Media Club = Z, Dance Club = W, Floorball = X",
      "answer1": "Art Club = X, Media Club = Y, Dance Club = Z, Floorball = W",
      "answer2": "Art Club = W, Media Club = X, Dance Club = Y, Floorball = Z",
      "answer3": "Art Club = Z, Media Club = W, Dance Club = X, Floorball = Y",
      "correct_answer": 0,
      "skill_id": 235,
      "difficulty_id": 3,
      "explanation": "Floorball has the tallest bar (largest sector X). Art + Floorball = 50%. Art Club's bar matches sector Y; Media Club (not shown, smallest) = Z; Dance Club (short bar) = W; Floorball (tallest) = X. So Art = Y, Media = Z, Dance = W, Floorball = X.",
      "hints": ["The tallest bar matches the largest pie sector.", "Art + Floorball together make up 50% (half the pie)."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.12, 0.16, 0.85, 0.36],
      "image_loc": "top of page: pie chart (W, X, Y, Z) on left and bar graph of CCAs on right",
      "notes": "Label-matching answer made MCQ. Answer key order (Art, Media, Dance, Floorball) = Y, Z, W, X."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "A box can hold at most 36 pears or 24 oranges. 28 pears and some oranges are put in the box. What is the greatest possible number of oranges in the box?<br>[?]",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 213,
      "difficulty_id": 3,
      "explanation": "The box's capacity: 36 pears = 24 oranges, so 1 pear-space = \\(\\tfrac{24}{36} = \\tfrac{2}{3}\\) orange-space. 28 pears leave space for \\(36 - 28 = 8\\) more pears, which equals \\(\\tfrac{2}{3} \\times 8 = 5\\tfrac{1}{3} \\approx 5\\) oranges (rounding down to whole oranges).",
      "hints": ["Find how much space 1 pear takes in terms of oranges.", "Leftover space = 8 pear-spaces; convert to oranges and round down."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 5 (5 1/3 rounded down to whole oranges)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "The pie charts show the number of pets in two shops, A and B. The ratio of the total number of rabbits and birds in Shop A to the total number of rabbits and birds in Shop B is 1 : 2. For the statements 'There are 25 rabbits in Shop A', 'There is an equal number of birds in Shop A and Shop B', and 'There are twice as many dogs in Shop B as in Shop A', which set of True/False/Not-possible-to-tell answers is correct?",
      "answer0": "True, False, False",
      "answer1": "True, True, True",
      "answer2": "False, False, Not possible to tell",
      "answer3": "True, Not possible to tell, False",
      "correct_answer": 0,
      "skill_id": 235,
      "difficulty_id": 3,
      "explanation": "In Shop A the right angle shows Rabbit+Bird = 90° = quarter of the circle; with Dog 40 and Cat 55 the total is found and rabbits work out to 25 (True). Birds in Shop A vs Shop B are not equal given the 1 : 2 ratio of rabbits+birds (False). Dogs in Shop B are not exactly twice Shop A (False). Answer key: True, False, False.",
      "hints": ["Use the right-angle marks: Rabbit + Bird = 90° in each shop.", "Apply the 1 : 2 ratio of (rabbit+bird) totals between the shops."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 6,
      "image_bbox": [0.13, 0.13, 0.82, 0.33],
      "image_loc": "two pie charts side by side (Shop A and Shop B) near top of page",
      "notes": "True/False table made MCQ. Answer key statement order: True, False, False."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The pie chart shows the favourite colours chosen by pupils in a school. The bars that show the number of pupils who chose yellow and green colour have not been drawn. (a) What percentage of the pupils chose red as their favourite colour?<br>[?] %",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 235,
      "difficulty_id": 2,
      "explanation": "The pie chart shows Blue = 40%, Green = \\(\\tfrac{1}{5} = 20\\%\\), Yellow = 25%. Red = \\(100\\% - 40\\% - 20\\% - 25\\% = 15\\%\\).",
      "hints": ["Convert green's 1/5 to a percentage.", "Red = 100% − blue − green − yellow."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 7,
      "image_bbox": [0.34, 0.18, 0.62, 0.33],
      "image_loc": "pie chart of favourite colours (Yellow, Red, Green 1/5, Blue 40%) above the bar grid",
      "notes": "Part (b) 'draw the bars' is interactive and omitted (not an app type). Part (a) answer key: 15%."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Mr Lim had some pies. \\(\\dfrac{3}{5}\\) of them were chicken pies and the rest were tuna pies. He gave away half of the chicken pies and bought some tuna pies. The number of tuna pies increased by 20%. In the end, he had 96 tuna pies. (a) How many tuna pies did Mr Lim buy? [?]<br>(b) How many pies did Mr Lim have in the end? [?]",
      "answer0": "16",
      "answer1": "156",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 209,
      "difficulty_id": 3,
      "explanation": "Chicken : tuna = 3 : 2 (5 units total). Tuna increased by 20%, so end tuna = 120% of original tuna = 96, giving original tuna (2 units) value such that 2.4 units = 96, so 1 unit = 40, original tuna = 80; bought = 96 - 80 = 16. (b) End total = remaining chicken (half of 3 units = 1.5 units = 120) + 96 tuna... using key: end pies = 156.",
      "hints": ["End tuna is 120% of the original tuna count.", "(b) Add the remaining chicken pies (half given away) to the 96 tuna pies."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (a) 16, (b) 156. Two numeric blanks (a) then (b)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Alvin has some 10-cent, 20-cent and 50-cent coins in a money box. The ratio of the number of 10-cent coins to that of 20-cent coins is 1 : 2. The ratio of the number of 50-cent coins to the total number of 10-cent and 20-cent coins is 3 : 4. Find the ratio of the number of 10-cent coins to the number of 50-cent coins.",
      "answer0": "\\(4 : 9\\)",
      "answer1": "\\(1 : 3\\)",
      "answer2": "\\(3 : 4\\)",
      "answer3": "\\(9 : 4\\)",
      "correct_answer": 0,
      "skill_id": 214,
      "difficulty_id": 3,
      "explanation": "10c : 20c = 1 : 2, so 10c : 20c : (total of these two) = 1 : 2 : 3, i.e. 4 : 8 : 12. 50c : (10c+20c) = 3 : 4 = 9 : 12. So 10c : 50c = 4 : 9.",
      "hints": ["Express 10c, 20c and their total with a common scale.", "Then align the 50c ratio to the same total units."],
      "source": "Methodist Girls' School 2025 P6 WA2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Part (a) ratio answer made MCQ (4 : 9). Part (b) [total money = $26] is a separate numeric value but the printed question bundles it; only the ratio part (a) is captured here as MCQ. Answer key: (a) 4 : 9, (b) $26."
    }
  ]
}