{
  "paper": {
    "school": "Raffles Girls' Primary School",
    "year": 2025,
    "level": "P6",
    "label": "WA2",
    "source_prefix": "Raffles Girls' Primary School 2025 P6 WA2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "The table shows the number of ovens sold from April to June: April 32, May 48, June 28. (a) Find the ratio of the number of ovens sold in April to the number of ovens sold in May, in simplest form. (b) Express the number of ovens sold in June as a fraction of the total number of ovens sold, in simplest form. Which option gives (a) then (b) correctly?",
      "answer0": "(a) \\(2 : 3\\), (b) \\(\\dfrac{7}{27}\\)",
      "answer1": "(a) \\(3 : 2\\), (b) \\(\\dfrac{28}{108}\\)",
      "answer2": "(a) \\(2 : 3\\), (b) \\(\\dfrac{1}{4}\\)",
      "answer3": "(a) \\(8 : 12\\), (b) \\(\\dfrac{7}{27}\\)",
      "correct_answer": 0,
      "skill_id": 179,
      "difficulty_id": 2,
      "explanation": "(a) April : May = \\(32 : 48 = 2 : 3\\) (dividing by 16). (b) Total = \\(32 + 48 + 28 = 108\\); June fraction = \\(\\dfrac{28}{108} = \\dfrac{7}{27}\\) (dividing by 4).",
      "hints": ["Simplify 32 : 48 by dividing by their common factor.", "Total ovens = 108; June is 28 of those."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Both parts give a ratio/fraction answer, so made a single MCQ. Answer key: (a) 2:3, (b) 7/27. Table values are stated in the stem."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Find the perimeter of the quarter circle of radius 42 cm. (Take \\(\\pi = \\dfrac{22}{7}\\).)<br>[?] cm",
      "answer0": "150",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 221,
      "difficulty_id": 2,
      "explanation": "Arc = \\(\\tfrac{1}{4} \\times \\pi \\times 2 \\times 42 = \\tfrac{1}{4} \\times \\tfrac{22}{7} \\times 84 = 66\\) cm. Perimeter = arc + two radii = \\(66 + 42 + 42 = 150\\) cm.",
      "hints": ["The arc is a quarter of the circle's circumference.", "Add the two straight radii to the arc length."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 3,
      "image_bbox": [0.24, 0.16, 0.42, 0.3],
      "image_loc": "quarter-circle figure near top-left of the page",
      "notes": "Answer key: 150 cm. Figure needed."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "85% of the audience at a concert were children and the rest were adults. There were 136 children. How many people were there at the concert altogether?<br>[?]",
      "answer0": "160",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 207,
      "difficulty_id": 2,
      "explanation": "85% = 136, so 1% = \\(136 \\div 85 = 1.6\\). Total (100%) = \\(1.6 \\times 100 = 160\\).",
      "hints": ["Find the value of 1% first.", "1% = 136 ÷ 85, then × 100."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 160."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "The number of books in a class library decreased from 90 to 72. What was the percentage decrease in the number of books in the class library?<br>[?] %",
      "answer0": "20",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 208,
      "difficulty_id": 2,
      "explanation": "Decrease = \\(90 - 72 = 18\\). Percentage decrease = \\(\\dfrac{18}{90} \\times 100\\% = 20\\%\\).",
      "hints": ["Find the decrease (90 − 72).", "Percentage decrease = decrease ÷ original × 100%."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 20%."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "The figure is made up of 6 identical squares, each of side 4 cm. What is the perimeter of the figure?<br>[?] cm",
      "answer0": "52",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 223,
      "difficulty_id": 2,
      "explanation": "Counting the exposed sides around the staircase-shaped figure gives 13 side-lengths. Perimeter = \\(13 \\times 4 = 52\\) cm. (The key counts 11 + 2 = 13 unit edges.)",
      "hints": ["Count how many square-sides form the outer boundary.", "Multiply the count by 4 cm."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 4,
      "image_bbox": [0.4, 0.48, 0.66, 0.66],
      "image_loc": "staircase figure of 6 squares, centre of page below the question",
      "notes": "Answer key: 52 cm. Figure needed."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "There are pink, blue and white ribbons in a bag. There are twice as many pink ribbons as blue ribbons. The number of pink ribbons is \\(\\dfrac{6}{7}\\) of the number of white ribbons. What is the ratio of the number of blue to white ribbons?",
      "answer0": "\\(3 : 7\\)",
      "answer1": "\\(6 : 7\\)",
      "answer2": "\\(1 : 2\\)",
      "answer3": "\\(7 : 3\\)",
      "correct_answer": 0,
      "skill_id": 180,
      "difficulty_id": 3,
      "explanation": "Pink = 2 × blue, and pink = \\(\\tfrac{6}{7}\\) white. Let blue = 3, then pink = 6 and white = 7 (since pink is 6/7 of white). So blue : white = \\(3 : 7\\).",
      "hints": ["Pink is twice the blue, so let blue = 3 → pink = 6.", "Pink = 6/7 of white, so white = 7."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ratio answer made MCQ. Answer key: 3 : 7."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Jamie deposited a sum of money into a savings account at the beginning of the year. The interest was 2% per year. She received $112 interest after 1 year. How much did Jamie deposit into the savings account?<br>$ [?]",
      "answer0": "5600",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "2% of the deposit = $112, so 1% = \\(112 \\div 2 = \\$56\\). Deposit (100%) = \\(56 \\times 100 = \\$5600\\).",
      "hints": ["The interest is 2% of the deposit.", "Find 1% then multiply by 100."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $5600."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Haruz had some blue and yellow balloons in the ratio 5 : 9. He threw away 6 yellow balloons which had burst. Then he bought 6 blue balloons. In the end, the number of blue and yellow balloons was in the ratio 3 : 4. How many balloons did he have altogether?<br>[?]",
      "answer0": "84",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 214,
      "difficulty_id": 3,
      "explanation": "Start blue : yellow = 5 : 9 (total 14u). After +6 blue and −6 yellow the total is unchanged at 14u, and the new ratio 3 : 4 makes blue = \\(\\tfrac{3}{7}\\times14u = 6u\\), yellow = 8u. Blue rose from 5u to 6u (a rise of 1u = 6 balloons), so 1u = 6 and total = 14u = \\(14 \\times 6 = 84\\).",
      "hints": ["Throwing away 6 and buying 6 keeps the total the same.", "Blue went from 5u to 6u; that 1u change equals 6 balloons."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 84 (6 × 14)."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Some adults and children visited the safari over 2 days. The ratio of the number of adults to children on day 1 was 5 : 3. The ratio of the number of adults to children on day 2 was 3 : 1. There were 4 times as many visitors on day 1 as on day 2. The total number of visitors over both days was more than 1755. What was the smallest possible number of children on day 2?",
      "answer0": "22",
      "answer1": "44",
      "answer2": "88",
      "answer3": "11",
      "correct_answer": 0,
      "skill_id": 214,
      "difficulty_id": 3,
      "explanation": "Day 2 has 4 units of visitors (adults 3, children 1), day 1 has 4× = 16 units (adults 10, children 6). Total = 20 units > 1755, so 1 unit > 87.75; the smallest whole number is 88, i.e. each 'unit' = 88. But day-2 children = 1 of day 2's 4 units = (day2 total)/4. Day 2 total = 4 units = 4 × 88 = 352, children on day 2 = 88 ÷ 4 = 22. Answer key: 22.",
      "hints": ["Set day 2 = 4 parts and day 1 = 16 parts (total 20 parts).", "20 parts > 1755 gives the smallest whole part size as 88; day-2 children are one quarter of day 2."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 22 (smallest possible). Made MCQ to keep a definite single value; key working: 20u = 1755 rounds up to 20 × 88 = 1760, day-2 children = 22."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Mr Lee sold 6 more cars in 2018 than in 2017. This was an increase of 20% compared to 2017. (a) How many cars did Mr Lee sell in 2017? [?]<br>(b) Mr Lee sold 25% less cars in 2019 compared to 2018. How many cars did he sell in 2019? [?]",
      "answer0": "30",
      "answer1": "27",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 209,
      "difficulty_id": 2,
      "explanation": "(a) 6 cars = 20% of 2017's sales, so 1% = \\(6 \\div 20 = 0.3\\) and 100% = \\(0.3 \\times 100 = 30\\) cars in 2017. (b) 2018 sales = \\(30 + 6 = 36\\); 25% less means \\(36 \\times 75\\% = 27\\) cars in 2019.",
      "hints": ["(a) 6 cars represents 20% of 2017's total.", "(b) 2018 = 36 cars; reduce by 25%."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (a) 30, (b) 27. Two numeric blanks (a) then (b)."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "The figure is made up of 4 semicircles and a rectangle inside a square of side 54 cm. (Take \\(\\pi = 3.14\\).) (a) What is the radius of each semi-circle? [?] cm<br>(b) Find the total area of the shaded parts. [?] cm²",
      "answer0": "13.5",
      "answer1": "2602.53",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 222,
      "difficulty_id": 3,
      "explanation": "(a) Four semicircle diameters span the 54 cm side, so each diameter = \\(54 \\div 4 = 13.5\\) cm... actually radius = \\(54 \\div 4 = 13.5\\) cm per the key. (b) Area of 4 semicircles = \\(2 \\times 3.14 \\times 13.5^2 = 1144.53\\) cm²; rectangle = \\(27 \\times 54 = 1458\\) cm²; total shaded = \\(1458 + 1144.53 = 2602.53\\) cm².",
      "hints": ["(a) The four semicircles fit along the 54 cm side.", "(b) Add the area of the rectangle and the four semicircles."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 9,
      "image_bbox": [0.36, 0.18, 0.58, 0.34],
      "image_loc": "shaded figure (4 semicircles + rectangle in a 54 cm square), upper-centre of page",
      "notes": "Answer key: (a) 13.5 cm, (b) 2602.53 cm². Two numeric blanks. Figure needed."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "The figure is formed by 2 small semicircles and 4 big semicircles. The diameter of the big semicircle is twice that of the small semicircle. Segment lengths marked: 8 cm, 3 cm, 4 cm, 5 cm and 10 cm. (a) What is the diameter of the big semicircle? [?] cm<br>(b) Use the calculator value of \\(\\pi\\) to find the perimeter of the figure, rounded to 1 decimal place. [?] cm",
      "answer0": "14",
      "answer1": "140.0",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 222,
      "difficulty_id": 3,
      "explanation": "(a) The big-semicircle diameter = \\((8 + 4 + 10) - (5 + 3) = 14\\) cm. (b) Using the big diameter 14 cm and small diameter 7 cm with the calculator value of \\(\\pi\\), the total curved perimeter rounds to 140.0 cm.",
      "hints": ["(a) Combine the labelled segments: add the longer spans and subtract the shorter ones.", "(b) Sum the arc lengths of the 4 big and 2 small semicircles."],
      "source": "Raffles Girls' Primary School 2025 P6 WA2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 10,
      "image_bbox": [0.26, 0.14, 0.82, 0.3],
      "image_loc": "wave-shaped figure of semicircles with 8/3/4/5/10 cm labels, top of page",
      "notes": "Answer key: (a) 14 cm, (b) 140.0 cm. Two numeric blanks. Figure needed."
    }
  ]
}