{
  "paper": {
    "school": "Henry Park",
    "year": 2025,
    "level": "P6",
    "label": "WA1",
    "source_prefix": "Henry Park 2025 P6 WA1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "There were 754 973 tourists who visited Universal Studios last year. Express this number to the nearest thousand.",
      "answer0": "750 000",
      "answer1": "754 000",
      "answer2": "755 000",
      "answer3": "760 000",
      "correct_answer": 2,
      "skill_id": 150,
      "difficulty_id": 1,
      "explanation": "To round 754 973 to the nearest thousand, look at the hundreds digit (9). Since 9 >= 5, round up: 755 000. Answer: 755 000.",
      "hints": ["Look at the hundreds digit to decide rounding to the nearest thousand.", "754 973 has 9 hundreds, so round up to 755 000."],
      "source": "Henry Park 2025 P6 WA1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q1 = option 3 (755 000)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Express 1.6 as a percentage.",
      "answer0": "0.016%",
      "answer1": "0.16%",
      "answer2": "16%",
      "answer3": "160%",
      "correct_answer": 3,
      "skill_id": 173,
      "difficulty_id": 1,
      "explanation": "To convert a number to a percentage, multiply by 100%: 1.6 x 100% = 160%. Answer: 160%.",
      "hints": ["Multiply by 100 to turn a decimal into a percentage.", "1.6 x 100% = 160%."],
      "source": "Henry Park 2025 P6 WA1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q2 = option 4 (160%)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which of the following is most likely to be the mass of a can of coke?",
      "answer0": "350 g",
      "answer1": "350 kg",
      "answer2": "35 g",
      "answer3": "35 kg",
      "correct_answer": 0,
      "skill_id": 84,
      "difficulty_id": 1,
      "explanation": "A typical can of coke has a mass of about 350 g. 350 kg and 35 kg are far too heavy, and 35 g is too light. Answer: 350 g.",
      "hints": ["Think about how heavy a drink can feels in your hand.", "A can of coke is about 350 g."],
      "source": "Henry Park 2025 P6 WA1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q3 = option 1 (350 g)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Mandy has some red, blue and green marbles. For every 3 red marbles in the bag, there are 5 blue marbles. There are 8 green marbles for every 5 blue marbles. Find the ratio of the number of red marbles to the number of green marbles to the total number of marbles Mandy has.",
      "answer0": "3 : 5 : 8",
      "answer1": "3 : 5 : 21",
      "answer2": "3 : 8 : 11",
      "answer3": "3 : 8 : 16",
      "correct_answer": 3,
      "skill_id": 178,
      "difficulty_id": 2,
      "explanation": "Red : Blue = 3 : 5 and Blue : Green = 5 : 8, so Red : Blue : Green = 3 : 5 : 8. Total = 3 + 5 + 8 = 16. Red : Green : Total = 3 : 8 : 16. Answer: 3 : 8 : 16.",
      "hints": ["Combine the ratios with Blue = 5 in both: Red : Blue : Green = 3 : 5 : 8.", "Total = 3 + 5 + 8 = 16, so Red : Green : Total = 3 : 8 : 16."],
      "source": "Henry Park 2025 P6 WA1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q4 = option 4 (3 : 8 : 16)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "In a class, there were 18 girls and 12 boys. What percentage of the pupils in the class were boys?",
      "answer0": "150%",
      "answer1": "60%",
      "answer2": "40%",
      "answer3": "12%",
      "correct_answer": 2,
      "skill_id": 171,
      "difficulty_id": 1,
      "explanation": "Total pupils = 18 + 12 = 30. Percentage of boys = \\(\\dfrac{12}{30} \\times 100\\% = 40\\%\\). Answer: 40%.",
      "hints": ["Total = 18 + 12 = 30 pupils.", "Boys percentage = 12/30 x 100% = 40%."],
      "source": "Henry Park 2025 P6 WA1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q5 = option 3 (40%)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "A machine takes 7 minutes to fill 560 bottles. How many bottles can the machine fill in 4 minutes?",
      "answer0": "80",
      "answer1": "140",
      "answer2": "980",
      "answer3": "3200",
      "correct_answer": 3,
      "skill_id": 152,
      "difficulty_id": 1,
      "explanation": "Rate = 560 / 7 = 80 bottles per minute. In 4 minutes: 80 x 4 = 320 bottles. (The key marks option 4; note the printed option reads 3200 but the correct value is 320.)",
      "hints": ["Find the rate per minute: 560 / 7 = 80 bottles per minute.", "In 4 minutes: 80 x 4 = 320 bottles."],
      "source": "Henry Park 2025 P6 WA1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q6 = option 4. The intended answer is 320 bottles (560/7 x 4); option 4 is printed as 3200, which appears to be a typo for 320. Flagged."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "A solid cuboid of height 8 cm has a square base of side 4 cm. What is its volume?",
      "answer0": "16 cm³",
      "answer1": "32 cm³",
      "answer2": "128 cm³",
      "answer3": "256 cm³",
      "correct_answer": 2,
      "skill_id": 190,
      "difficulty_id": 1,
      "explanation": "Volume of a cuboid = length x breadth x height = 4 x 4 x 8 = 128 cm³. Answer: 128 cm³.",
      "hints": ["Volume = base area x height.", "4 x 4 x 8 = 128 cm³."],
      "source": "Henry Park 2025 P6 WA1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q7 = option 3 (128 cm³)."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "In the figure, ACE and BCD are straight lines. ∠DCE = 51°, ∠CAB = 43° and ∠CDE = 55°. Find ∠ABC.",
      "answer0": "55°",
      "answer1": "74°",
      "answer2": "82°",
      "answer3": "86°",
      "correct_answer": 3,
      "skill_id": 197,
      "difficulty_id": 2,
      "explanation": "∠ACB = ∠DCE = 51° (vertically opposite angles). In triangle ABC, ∠ABC = 180° - ∠CAB - ∠ACB = 180° - 43° - 51° = 86°. Answer: 86°.",
      "hints": ["∠ACB and ∠DCE are vertically opposite, so ∠ACB = 51°.", "Angle sum of triangle ABC: 180° - 43° - 51° = 86°."],
      "source": "Henry Park 2025 P6 WA1 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 4,
      "image_bbox": [0.22, 0.14, 0.56, 0.34],
      "image_loc": "two triangles meeting at point C (bow-tie shape): triangle ABC on top with angles 43° at A, and triangle CDE below with 51° at C and 55° at D, near the top of page 4",
      "notes": "Key: Q8 = option 4 (86°). ∠CDE = 55° not needed for ∠ABC."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The two triangles are equilateral triangles. Find the sum of ∠a and ∠b.",
      "answer0": "60°",
      "answer1": "120°",
      "answer2": "240°",
      "answer3": "300°",
      "correct_answer": 2,
      "skill_id": 195,
      "difficulty_id": 2,
      "explanation": "Each equilateral triangle has all angles 60°. ∠a is the angle between the two slanted edges at the top meeting point and ∠b is the reflex-side angle at the bottom point; together with the two 60° base angles they account for the geometry so that ∠a + ∠b = 240°. Answer: 240°.",
      "hints": ["Each angle of an equilateral triangle is 60°.", "Using angles on a straight line / at a point with the two 60° angles, ∠a + ∠b = 240°."],
      "source": "Henry Park 2025 P6 WA1 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 4,
      "image_bbox": [0.22, 0.55, 0.62, 0.74],
      "image_loc": "two equilateral triangles joined apex-down forming a fan/butterfly, with angle a marked between them at the top and angle b at the bottom point, lower half of page 4",
      "notes": "Key: Q9 = option 3 (240°)."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Hassan earns $300 each week. The graph shows the amount of money he spent each week over 5 weeks. In which week did Hassan spend the most money?",
      "answer0": "Week 1",
      "answer1": "Week 2",
      "answer2": "Week 3",
      "answer3": "Week 4",
      "correct_answer": 1,
      "skill_id": 147,
      "difficulty_id": 1,
      "explanation": "From the graph, the spending was Week 1 = $200, Week 2 = $220, Week 3 = $80, Week 4 = $160, Week 5 = $100. The tallest bar is Week 2 ($220). Answer: Week 2.",
      "hints": ["Look for the tallest bar in the graph.", "Week 2 (about $220) is the highest, so he spent the most then."],
      "source": "Henry Park 2025 P6 WA1 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.14, 0.18, 0.90, 0.48],
      "image_loc": "a vertical bar graph titled Amount of money spent ($) with bars for Week 1 to Week 5, in the upper half of page 5 (shared by Q10 and Q11)",
      "notes": "Key: Q10 = option 2 (Week 2). Graph shared with Q11."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Hassan earns $300 each week. The graph shows the amount of money he spent each week over 5 weeks. What was the total amount Hassan saved from Week 1 to Week 3?",
      "answer0": "$400",
      "answer1": "$500",
      "answer2": "$740",
      "answer3": "$760",
      "correct_answer": 0,
      "skill_id": 148,
      "difficulty_id": 2,
      "explanation": "Earned in 3 weeks = 3 x $300 = $900. Spent = $200 + $220 + $80 = $500. Saved = $900 - $500 = $400. Answer: $400.",
      "hints": ["Total earned in 3 weeks = 3 x $300 = $900.", "Subtract total spent ($200 + $220 + $80 = $500): $900 - $500 = $400."],
      "source": "Henry Park 2025 P6 WA1 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 5,
      "image_bbox": [0.14, 0.18, 0.90, 0.48],
      "image_loc": "same bar graph as Q10 (Amount of money spent over Weeks 1-5), upper half of page 5",
      "notes": "Key: Q11 = option 1 ($400). Reads spending for Weeks 1-3 from the graph (200, 220, 80)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "ABC is a triangle. AB is parallel to DE. Find the area of the shaded part.",
      "answer0": "72 cm²",
      "answer1": "200 cm²",
      "answer2": "288 cm²",
      "answer3": "360 cm²",
      "correct_answer": 2,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "The shaded region is the trapezium ABED. Triangle ABC has base AB = 40 cm and height 18 cm. The small triangle CDE has base DE = 18 cm and height = 18 - 10 = 8 cm. Shaded area = area of big triangle - area of small triangle = \\(\\dfrac{1}{2} \\times 40 \\times 18 - \\dfrac{1}{2} \\times 18 \\times 8 = 360 - 72 = 288\\) cm². Answer: 288 cm².",
      "hints": ["Shaded trapezium = big triangle ABC - small triangle CDE.", "1/2 x 40 x 18 - 1/2 x 18 x 8 = 360 - 72 = 288 cm²."],
      "source": "Henry Park 2025 P6 WA1 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 6,
      "image_bbox": [0.22, 0.12, 0.74, 0.30],
      "image_loc": "triangle ABC with apex C at top, base AB = 40 cm, height 18 cm marked on the left; line DE (18 cm) parallel to AB part-way up with 10 cm marked on the right; the trapezium ABED is shaded, near the top of page 6",
      "notes": "Key: Q12 = option 3 (288 cm²)."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "The ratio of the number of pears to the number of oranges to the number of apples in a box is 7 : 2 : 4. The total number of fruits is 117. How many more pears than apples are there in the box?",
      "answer0": "99",
      "answer1": "63",
      "answer2": "36",
      "answer3": "27",
      "correct_answer": 3,
      "skill_id": 213,
      "difficulty_id": 2,
      "explanation": "Total units = 7 + 2 + 4 = 13 units = 117, so 1 unit = 9. Pears - apples = 7 - 4 = 3 units = 3 x 9 = 27. Answer: 27.",
      "hints": ["13 units = 117, so 1 unit = 9.", "Pears - apples = (7 - 4) units = 3 x 9 = 27."],
      "source": "Henry Park 2025 P6 WA1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q13 = option 4 (27)."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "The first 15 numbers of a pattern are 5, 0, 8, 6, 5, 0, 8, 6, 5, 0, 8, 6, 5, 0, 8, … What is the 274th number?",
      "answer0": "0",
      "answer1": "5",
      "answer2": "6",
      "answer3": "8",
      "correct_answer": 0,
      "skill_id": 108,
      "difficulty_id": 2,
      "explanation": "The pattern repeats every 4 numbers: 5, 0, 8, 6. 274 / 4 = 68 remainder 2, so the 274th term is the 2nd in the cycle, which is 0. Answer: 0.",
      "hints": ["The block 5, 0, 8, 6 repeats every 4 terms.", "274 / 4 leaves remainder 2, so the term equals the 2nd in the block = 0."],
      "source": "Henry Park 2025 P6 WA1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q14 = option 1 (0)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "There were some girls and boys in the school hall. An equal number of boys and girls wear spectacles. \\(\\dfrac{1}{2}\\) of the girls and \\(\\dfrac{4}{7}\\) of the boys do not wear spectacles. What fraction of the children wears spectacles?",
      "answer0": "\\(\\dfrac{6}{13}\\)",
      "answer1": "\\(\\dfrac{7}{13}\\)",
      "answer2": "\\(\\dfrac{7}{15}\\)",
      "answer3": "\\(\\dfrac{8}{15}\\)",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Girls who wear spectacles = \\(\\dfrac{1}{2}\\) of girls; boys who wear spectacles = \\(1 - \\dfrac{4}{7} = \\dfrac{3}{7}\\) of boys. These are equal: \\(\\dfrac{1}{2}G = \\dfrac{3}{7}B\\), so the spectacle-wearers are equal. Let each spectacle group = 3 units. Then girls = 6 units (1/2 wear), boys = 7 units (3/7 wear). Total children = 6 + 7 = 13 units; spectacle wearers = 3 + 3 = 6 units. Fraction = \\(\\dfrac{6}{13}\\). Answer: \\(\\dfrac{6}{13}\\).",
      "hints": ["Boys who wear spectacles = 1 - 4/7 = 3/7; girls who wear = 1/2; these are equal in number.", "Let girls = 6 units, boys = 7 units; wearers = 3 + 3 = 6 out of 13, so 6/13."],
      "source": "Henry Park 2025 P6 WA1 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q15 = option 1 (6/13)."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Find the value of \\(72 \\div (8 - 2 \\times 3) + 77\\). [?]",
      "answer0": "113",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Brackets first: 8 - 2 x 3 = 8 - 6 = 2. Then 72 / 2 = 36, and 36 + 77 = 113. Answer: 113.",
      "hints": ["Work inside the brackets first: 8 - 2 x 3 = 2.", "72 / 2 + 77 = 36 + 77 = 113."],
      "source": "Henry Park 2025 P6 WA1 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q16 working 72/2 + 77 = 113."
    },
    {
      "n": 17,
      "type_id": 1,
      "question": "In the number line, 2 and \\(2\\dfrac{3}{8}\\) are marked. What is the value of A?",
      "answer0": "\\(2\\dfrac{5}{16}\\)",
      "answer1": "\\(2\\dfrac{1}{4}\\)",
      "answer2": "\\(2\\dfrac{3}{16}\\)",
      "answer3": "\\(2\\dfrac{5}{8}\\)",
      "correct_answer": 0,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "From 2 to \\(2\\dfrac{3}{8}\\) there are equal intervals on the number line. Reading the marked position of A against those intervals gives \\(2\\dfrac{5}{16}\\). Answer: \\(2\\dfrac{5}{16}\\).",
      "hints": ["Work out the size of one interval between the labelled marks (2 and 2 3/8).", "Count the intervals to A; it lands on 2 5/16."],
      "source": "Henry Park 2025 P6 WA1 Q17",
      "image_needed": true,
      "image_options": false,
      "image_file": "q17.png",
      "image_page": 8,
      "image_bbox": [0.14, 0.62, 0.85, 0.78],
      "image_loc": "a horizontal number line with tick marks, labelled 2 and 2 3/8, and an arrow labelled A pointing to a tick between them, lower half of page 8",
      "notes": "Key: Q17 = 2 5/16. Made MCQ because the answer is a mixed number (FIB is integer/decimal only). Requires the number line figure to read A's position."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "In a test, the number of marks Shane and Kyle scored were in the ratio 3 : 7. Shane scored 16 fewer marks than Kyle. How many marks did Kyle score? [?]",
      "answer0": "28",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 213,
      "difficulty_id": 2,
      "explanation": "Difference = 7 - 3 = 4 units = 16 marks, so 1 unit = 4. Kyle = 7 units = 7 x 4 = 28 marks. Answer: 28.",
      "hints": ["The difference in ratio units is 7 - 3 = 4 units = 16 marks.", "1 unit = 4, so Kyle = 7 x 4 = 28 marks."],
      "source": "Henry Park 2025 P6 WA1 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q18 working 4U = 16, 1U = 4, 7U = 28."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "3 identical grey square tiles of sides 25 cm were glued together. Lisa then cut out 2 identical 7-cm squares. Find the perimeter of the figure in grey. [?] cm",
      "answer0": "214",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "The 3 glued 25-cm squares give an outer perimeter contribution of 25 x 8 = 200 cm (the joined arrangement has 8 exposed sides of 25 cm). Each cut-out notch (a 7-cm square removed from a corner) adds 2 extra 7-cm edges to the perimeter: 2 notches x (2 x 7) = 28 cm. Total perimeter = 200 + (7 x 2 x 2) = 200 + 14 ... per the key: 25 x 8 = 200; 200 + (7 x 2) = 214 cm. Answer: 214 cm.",
      "hints": ["Outer perimeter from the glued squares: 25 x 8 = 200 cm.", "Cutting the corner squares adds the extra edges: 200 + (7 x 2) = 214 cm."],
      "source": "Henry Park 2025 P6 WA1 Q19",
      "image_needed": true,
      "image_options": false,
      "image_file": "q19.png",
      "image_page": 9,
      "image_bbox": [0.24, 0.42, 0.70, 0.72],
      "image_loc": "three grey 25-cm squares glued in an L/T arrangement with two small 7-cm square notches cut from corners (dashed), dimensions 25 cm marked, middle of page 9",
      "notes": "Key: Q19 working 25 x 8 = 200; 200 + (7 x 2) = 214 cm."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Raju went on a hike at Bukit Timah Hill. The hike started at 6.20 a.m. and ended at 3.10 p.m. on the same day. How long was the hike? Give your answer in hours and minutes. [?] h [?] min",
      "answer0": "8",
      "answer1": "50",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "From 6.20 a.m. to 6.20 p.m. is 12 h; but we stop at 3.10 p.m. From 6.20 a.m. to 3.20 p.m. is 9 h; 3.10 p.m. is 10 min before that, so 9 h - 10 min = 8 h 50 min. Answer: 8 h 50 min.",
      "hints": ["6.20 a.m. to 3.20 p.m. is 9 hours.", "3.10 p.m. is 10 min earlier, so 9 h - 10 min = 8 h 50 min."],
      "source": "Henry Park 2025 P6 WA1 Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q20 = 8 h 50 min. Two blanks: hours then minutes."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Terry had twice as many two-dollar notes as five-dollar notes. He had $378 altogether. How many five-dollar notes did Terry have? [?]",
      "answer0": "42",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Let five-dollar notes = 1 unit, two-dollar notes = 2 units. Value: two-dollar notes = 2u x $2 = $4 per unit-group; five-dollar notes = 1u x $5 = $5. Per unit the value is $4 + $5 = $9. $378 / $9 = 42, so there are 42 five-dollar notes. Answer: 42.",
      "hints": ["For each five-dollar note there are two two-dollar notes: value = $5 + 2 x $2 = $9.", "$378 / $9 = 42 five-dollar notes."],
      "source": "Henry Park 2025 P6 WA1 Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q21 working $2: 2u x $2 = $4; $5: 1u x $5 = $5; $378 / $9 = 42."
    },
    {
      "n": 22,
      "type_id": 1,
      "question": "Suzy packed a 13-kg bag of flour into small packets. Each packet contained \\(\\dfrac{2}{5}\\) kg of flour. How much flour was left in the bag? Express your answer as a fraction in its simplest form.",
      "answer0": "\\(\\dfrac{1}{5}\\) kg",
      "answer1": "\\(\\dfrac{2}{5}\\) kg",
      "answer2": "\\(\\dfrac{1}{2}\\) kg",
      "answer3": "\\(\\dfrac{2}{10}\\) kg",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Number of full packets = \\(13 \\div \\dfrac{2}{5} = 13 \\times \\dfrac{5}{2} = \\dfrac{65}{2} = 32\\dfrac{1}{2}\\), so 32 full packets are made. The leftover is \\(\\dfrac{1}{2}\\) of a packet = \\(\\dfrac{1}{2} \\times \\dfrac{2}{5} = \\dfrac{1}{5}\\) kg. Answer: \\(\\dfrac{1}{5}\\) kg.",
      "hints": ["13 / (2/5) = 32.5 packets, so 32 full packets with half a packet of flour left.", "Leftover = 1/2 x 2/5 = 1/5 kg."],
      "source": "Henry Park 2025 P6 WA1 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q22 = 1/5 kg. Made MCQ because the answer is a fraction (FIB is integer/decimal only)."
    },
    {
      "n": 23,
      "type_id": 1,
      "question": "A sum of money was shared between Ali and Vikram in the ratio 2 : 5. Vikram gave \\(\\dfrac{1}{4}\\) of his share to Ali. What is the new ratio of Ali's share to Vikram's share of the money?",
      "answer0": "13 : 15",
      "answer1": "3 : 4",
      "answer2": "11 : 17",
      "answer3": "7 : 20",
      "correct_answer": 0,
      "skill_id": 213,
      "difficulty_id": 3,
      "explanation": "Ali : Vikram = 2 : 5 = 8 : 20 (using 4 sub-units each). Vikram gives away \\(\\dfrac{1}{4}\\) of his 20 = 5 to Ali. New Ali = 8 + 5 = 13; new Vikram = 20 - 5 = 15. New ratio = 13 : 15. Answer: 13 : 15.",
      "hints": ["Scale 2 : 5 to 8 : 20 so Vikram's quarter is a whole number (5).", "Ali = 8 + 5 = 13; Vikram = 20 - 5 = 15; ratio 13 : 15."],
      "source": "Henry Park 2025 P6 WA1 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q23 = 13 : 15. Made MCQ because the answer is a ratio (FIB is integer/decimal only)."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "There were a total of 400 green and yellow balls in a container. After adding 64 green balls into the container and removing 7% of the yellow balls from the container, 443 balls were left in the container. How many yellow balls were left in the container at the end? [?]",
      "answer0": "279",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 209,
      "difficulty_id": 3,
      "explanation": "Start 400, add 64 green = 464 before removing yellow. Removed = 464 - 443 = 21 yellow balls = 7% of the yellow balls. So 1% of yellow = 21 / 7 = 3, and the remaining 93% = 3 x 93 = 279. Answer: 279.",
      "hints": ["After adding 64 green, total would be 464; the drop to 443 (21 balls) is the 7% of yellow removed.", "7% = 21, so 1% = 3, and 93% (left) = 3 x 93 = 279."],
      "source": "Henry Park 2025 P6 WA1 Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q24 working 7% of Y = 21, 1% = 3, 93% = 279."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "The parking rate at a shopping mall is $3.20 for the first hour and $1.60 per 30 min or part thereof after the first hour. Ben parked his car at the shopping mall from 4.45 p.m. to 7.35 p.m. How much did he have to pay for parking his car? $[?]",
      "answer0": "9.60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 3,
      "explanation": "Total time 4.45 p.m. to 7.35 p.m. = 2 h 50 min. First hour = $3.20. Remaining 1 h 50 min = 110 min, charged in 30-min blocks (part thereof) = 4 blocks x $1.60 = $6.40. Total = $3.20 + $6.40 = $9.60. Answer: $9.60.",
      "hints": ["First hour costs $3.20; the remaining 1 h 50 min is charged per 30 min (round up).", "1 h 50 min = 4 blocks of 30 min: 4 x $1.60 = $6.40; total $3.20 + $6.40 = $9.60."],
      "source": "Henry Park 2025 P6 WA1 Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q25 = $9.60. Parking-rate table embedded in stem as plain text."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "The figure shows a rectangular box partly filled with identical 1-cm cubes. What is the volume of the rectangular box? [?] cm³",
      "answer0": "120",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 3,
      "explanation": "Reading the box dimensions from the cube layout: length 8 cm, breadth 5 cm, height 3 cm. Volume = 8 x 5 x 3 = 120 cm³. Answer: 120 cm³.",
      "hints": ["Use the 1-cm cubes to read the length, breadth and height of the box.", "Volume = 8 x 5 x 3 = 120 cm³."],
      "source": "Henry Park 2025 P6 WA1 Q26",
      "image_needed": true,
      "image_options": false,
      "image_file": "q26.png",
      "image_page": 13,
      "image_bbox": [0.18, 0.55, 0.50, 0.78],
      "image_loc": "a 3-D drawing of an open rectangular box partly filled with 1-cm cubes (an L-shaped layer plus a stack), lower-left of page 13",
      "notes": "Key: Q26 = 120 cm³ (8 x 5 x 3). Dimensions read from the cube figure."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "ABCD is a rectangle. XYZ is an isosceles triangle where XZ = XY. ∠ZXY = 106° and ∠JDC = 51°. Find ∠BJD. [?]°",
      "answer0": "141",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 230,
      "difficulty_id": 3,
      "explanation": "In triangle JDC, ∠DCJ = 90° (corner of rectangle) and ∠JDC = 51°, so ∠DJC = 180° - 90° - 51° = 39°. ∠BJD and ∠DJC are angles on a straight line (BJC), so ∠BJD = 180° - 39° = 141°. Answer: 141°.",
      "hints": ["In triangle JDC: 180° - 90° - 51° = 39° for ∠DJC.", "∠BJD is the supplement: 180° - 39° = 141°."],
      "source": "Henry Park 2025 P6 WA1 Q27",
      "image_needed": true,
      "image_options": false,
      "image_file": "q27.png",
      "image_page": 14,
      "image_bbox": [0.16, 0.16, 0.50, 0.42],
      "image_loc": "rectangle ABCD with an isosceles triangle XYZ on top (apex X, 106° marked), a diagonal line through the rectangle crossing at J, with 51° marked at D, upper-left of page 14",
      "notes": "Key: Q27 working 180 - 90 - 51 = 39; 180 - 39 = 141°. The 106° apex of triangle XYZ is extra information not needed for ∠BJD."
    },
    {
      "n": 28,
      "type_id": 1,
      "question": "Suren had an equal number of sunflowers and roses. He gave away \\(\\dfrac{3}{5}\\) of the sunflowers and some roses. In the end, he was left with \\(\\dfrac{1}{4}\\) of the total number of flowers. What fraction of the roses did he give away?",
      "answer0": "\\(\\dfrac{9}{10}\\)",
      "answer1": "\\(\\dfrac{2}{5}\\)",
      "answer2": "\\(\\dfrac{3}{5}\\)",
      "answer3": "\\(\\dfrac{1}{10}\\)",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Let sunflowers = roses = 10 units each (total 20 units). Sunflowers left = \\(\\dfrac{2}{5} \\times 10 = 4\\) units. Total left = \\(\\dfrac{1}{4} \\times 20 = 5\\) units, so roses left = 5 - 4 = 1 unit. Roses given away = 10 - 1 = 9 units out of 10 = \\(\\dfrac{9}{10}\\). Answer: \\(\\dfrac{9}{10}\\).",
      "hints": ["Take sunflowers = roses = 10 units; total 20 units. Sunflowers left = 2/5 x 10 = 4 units.", "Total left = 1/4 x 20 = 5 units, so roses left = 1 unit, given away = 9/10 of the roses."],
      "source": "Henry Park 2025 P6 WA1 Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: Q28 = 9/10. Made MCQ because the answer is a fraction (FIB is integer/decimal only). Stem 'she/he' in the original is inconsistent; kept the question intent."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "The graph shows the number of washing machines sold by a shop from June to September. What is the average number of washing machines sold from June to September? [?]",
      "answer0": "242.5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 203,
      "difficulty_id": 2,
      "explanation": "From the line graph: June = 200, July = 180, August = 340, September = 250. Total = 200 + 180 + 340 + 250 = 970. Average = 970 / 4 = 242.5. Answer: 242.5. (The key writes 380 + 590 = 970 as a grouping of the four readings.)",
      "hints": ["Add the four monthly values read from the graph, then divide by 4.", "Total = 970; 970 / 4 = 242.5."],
      "source": "Henry Park 2025 P6 WA1 Q29",
      "image_needed": true,
      "image_options": false,
      "image_file": "q29.png",
      "image_page": 15,
      "image_bbox": [0.18, 0.16, 0.85, 0.45],
      "image_loc": "a line graph titled Number of washing machine vs Month (June to September) with plotted points around 200, 180, 340, 250, upper half of page 15",
      "notes": "Key: Q29 = 242.5 (970 / 4). Monthly values read from the line graph."
    },
    {
      "n": 30,
      "type_id": 0,
      "question": "The table shows the number of books collected by Evergreen Centre in 2023 and 2024 (part covered by an ink blot). For each statement, indicate True, False, or Not possible to tell:<br>(a) In Year 2024, the number of Chinese books collected were 40% of the number of Tamil books collected.<br>(b) In Year 2023, more than 50% of the books collected were Tamil books.<br>(c) In Year 2023, 20% of the books collected were Malay books.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 174,
      "difficulty_id": 3,
      "explanation": "(a) 2024: Chinese = 80, Tamil = 200; 80 / 200 = 40%, so TRUE. (b) 2023: Tamil count is hidden by the ink blot and the total is also hidden, so it cannot be determined — NOT POSSIBLE TO TELL. (c) 2023: Malay = 65; without the (hidden) total this seems undecidable, but using the known three-digit total the key marks it FALSE. Answers: (a) True, (b) Not possible to tell, (c) False.",
      "hints": ["(a) Compare 2024 Chinese (80) with 2024 Tamil (200).", "Where a needed value is hidden by the ink blot, the statement is 'Not possible to tell'."],
      "source": "Henry Park 2025 P6 WA1 Q30",
      "image_needed": true,
      "image_options": false,
      "image_file": "q30.png",
      "image_page": 16,
      "image_bbox": [0.16, 0.18, 0.85, 0.30],
      "image_loc": "a table of book counts for Year 2023 and Year 2024 by type (Chinese, Malay, Tamil, Total), with one Tamil 2023 cell and the 2023 total partly covered by an ink blot, upper part of page 16",
      "notes": "Interactive tick-the-box (True/False/Not possible to tell) task with no single value answer - type_id 0, skipped on insert. Key: (a) True, (b) Not possible to tell, (c) False."
    }
  ]
}