{
 "paper": {
  "school": "Henry Park",
  "year": 2025,
  "level": "P4",
  "label": "End-of-Year Exam",
  "source_prefix": "Henry Park 2025 P4 End-of-Year Exam",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "In which of the following does the digit 6 stand for 600?",
   "answer0": "6790",
   "answer1": "7690",
   "answer2": "7906",
   "answer3": "9760",
   "correct_answer": 1,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "The digit 6 stands for 600 when 6 is in the hundreds place. In 7690, the 6 is in the hundreds place, so it stands for 600.",
   "hints": [
    "Place value: hundreds digit × 100.",
    "Look for the number where 6 is the third digit from the right."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (0-based index 1)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "In which of the following are the numbers arranged from the smallest to the greatest?",
   "answer0": "4890, 4809, 4089",
   "answer1": "4089, 4890, 4809",
   "answer2": "4890, 4089, 4809",
   "answer3": "4089, 4809, 4890",
   "correct_answer": 3,
   "skill_id": 107,
   "difficulty_id": 1,
   "explanation": "Compare the numbers: 4089 < 4809 < 4890. Only option 4 lists them from smallest to greatest.",
   "hints": [
    "Compare the hundreds digit first: 0 < 8.",
    "Then compare 4809 and 4890 by the tens digit."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (0-based index 3)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "The figure is made up of identical triangles. What fraction of the triangles is shaded?",
   "answer0": "$$\\frac{4}{5}$$",
   "answer1": "$$\\frac{4}{8}$$",
   "answer2": "$$\\frac{4}{9}$$",
   "answer3": "$$\\frac{5}{9}$$",
   "correct_answer": 2,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "The large triangle is made of 9 identical small triangles. 4 of them are shaded, so the fraction shaded is $$\\frac{4}{9}$$.",
   "hints": [
    "Count the total number of small triangles.",
    "Count how many are shaded, then write shaded over total."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q3",
   "image_needed": true,
   "image_page": 3,
   "image_bbox": [
    0.38,
    0.18,
    0.58,
    0.31
   ],
   "image_loc": "centre of page, triangular figure below the question text",
   "image_options": false,
   "image_file": "q3.png",
   "notes": "Key: option 3 (0-based index 2). 9 triangles total, 4 shaded."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Express $$\\frac{28}{100}$$ as a decimal.",
   "answer0": "0.208",
   "answer1": "0.028",
   "answer2": "0.28",
   "answer3": "2.08",
   "correct_answer": 2,
   "skill_id": 127,
   "difficulty_id": 1,
   "explanation": "$$\\frac{28}{100}$$ means 28 hundredths = 0.28.",
   "hints": [
    "Hundredths = 2 decimal places.",
    "28 over 100 places 28 in the tenths and hundredths positions."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (0-based index 2)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Find the sum of 0.4 and 81.23 .",
   "answer0": "85.23",
   "answer1": "81.63",
   "answer2": "81.27",
   "answer3": "80.83",
   "correct_answer": 1,
   "skill_id": 129,
   "difficulty_id": 1,
   "explanation": "0.4 + 81.23 = 81.63. Align the decimal points: 0.40 + 81.23 = 81.63.",
   "hints": [
    "Write 0.4 as 0.40 to align decimal places.",
    "Add the tenths: 4 + 2 = 6."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (0-based index 1)."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "Which angle is greater than a right angle?",
   "answer0": "∠a",
   "answer1": "∠b",
   "answer2": "∠c",
   "answer3": "∠d",
   "correct_answer": 1,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "A right angle is 90°. ∠b is the reflex/obtuse marked angle that opens wider than 90°, so ∠b is greater than a right angle.",
   "hints": [
    "Compare each marked angle to a square corner (90°).",
    "The angle that opens wider than a right angle is the answer."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q6",
   "image_needed": true,
   "image_page": 4,
   "image_bbox": [
    0.3,
    0.16,
    0.66,
    0.34
   ],
   "image_loc": "quadrilateral figure with angles a, b, c, d marked, below the question",
   "image_options": false,
   "image_file": "q6.png",
   "notes": "Key: option 2 (0-based index 1)."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "ABCD is a square with an area of 64 cm². Find the length of one side of the square.",
   "answer0": "32 cm",
   "answer1": "16 cm",
   "answer2": "8 cm",
   "answer3": "4 cm",
   "correct_answer": 2,
   "skill_id": 137,
   "difficulty_id": 1,
   "explanation": "Area of square = side × side. Side × side = 64, so side = 8 cm (since 8 × 8 = 64).",
   "hints": [
    "Area of a square = side × side.",
    "Find the number that multiplied by itself gives 64."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (0-based index 2). Figure is a plain labelled square, not required to solve."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "The table shows the number of books borrowed by some students from the library in a week.<br>How many students borrowed more than 3 books?",
   "answer0": "147",
   "answer1": "251",
   "answer2": "265",
   "answer3": "516",
   "correct_answer": 1,
   "skill_id": 148,
   "difficulty_id": 2,
   "explanation": "More than 3 books means 4 books or 5 books. Students borrowing 4 books = 184, borrowing 5 books = 67. Total = 184 + 67 = 251.",
   "hints": [
    "'More than 3' means 4 or 5 books (not 3).",
    "Add the students for 4 books and 5 books."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q8",
   "image_needed": true,
   "image_page": 5,
   "image_bbox": [
    0.15,
    0.18,
    0.82,
    0.29
   ],
   "image_loc": "table near top of page showing books borrowed (1-5) vs number of students (35, 112, 265, 184, 67)",
   "image_options": false,
   "image_file": "q8.png",
   "notes": "Key: option 2 (0-based index 1). Table data: 1→35, 2→112, 3→265, 4→184, 5→67."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Ethan took $$\\frac{3}{4}$$ h to complete a puzzle. His sister completed the puzzle $$\\frac{1}{6}$$ h faster than him. How long did his sister take to complete the puzzle?",
   "answer0": "$$\\frac{4}{10}$$ h",
   "answer1": "$$\\frac{2}{12}$$ h",
   "answer2": "$$\\frac{7}{12}$$ h",
   "answer3": "$$\\frac{11}{12}$$ h",
   "correct_answer": 2,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Sister's time = $$\\frac{3}{4}$$ - $$\\frac{1}{6}$$. Common denominator 12: $$\\frac{9}{12}$$ - $$\\frac{2}{12}$$ = $$\\frac{7}{12}$$ h.",
   "hints": [
    "'Faster' means subtract the time difference.",
    "Use a common denominator of 12 for 4 and 6."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (0-based index 2)."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "ABCD is a rectangle. ∠x is twice the size of ∠y. Find ∠y.",
   "answer0": "18°",
   "answer1": "27°",
   "answer2": "54°",
   "answer3": "72°",
   "correct_answer": 0,
   "skill_id": 194,
   "difficulty_id": 3,
   "explanation": "Angle ADC of the rectangle is 90°. The figure shows ∠x + 36° + ∠y = 90°, so ∠x + ∠y = 54°. Since ∠x = 2×∠y, then 2∠y + ∠y = 54°, 3∠y = 54°, ∠y = 18°.",
   "hints": [
    "The corner of a rectangle is a right angle (90°).",
    "∠x + 36° + ∠y = 90°, and ∠x = 2 × ∠y."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q10",
   "image_needed": true,
   "image_page": 6,
   "image_bbox": [
    0.28,
    0.18,
    0.66,
    0.38
   ],
   "image_loc": "rectangle ABCD with two lines from D, angles x, 36° and y marked at corner D",
   "image_options": false,
   "image_file": "q10.png",
   "notes": "Key: option 1 (0-based index 0). Corner D = 90° split into x, 36°, y."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "Round 39 520 to the nearest hundred.<br>39 520 ≈ [?]",
   "answer0": "39500",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "To round 39 520 to the nearest hundred, look at the tens digit (2). Since 2 < 5, round down: 39 520 ≈ 39 500.",
   "hints": [
    "Look at the tens digit to decide rounding.",
    "Tens digit is 2, which is less than 5, so round down."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 39 500."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "2009 − 463 = [?]",
   "answer0": "1546",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 116,
   "difficulty_id": 1,
   "explanation": "2009 − 463 = 1546.",
   "hints": [
    "Subtract with regrouping.",
    "2009 − 463: borrow from the higher place values."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1 546."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Find the product of 1760 and 9.<br>[?]",
   "answer0": "15840",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 116,
   "difficulty_id": 1,
   "explanation": "Product means multiply: 1760 × 9 = 15 840.",
   "hints": [
    "'Product' means multiply.",
    "1760 × 9 = (1760 × 10) − 1760."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 15 840."
  },
  {
   "n": 14,
   "type_id": 2,
   "question": "How many one-eighths are there in 1 whole?<br>[?]",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "1 whole = $$\\frac{8}{8}$$, so there are 8 one-eighths in 1 whole.",
   "hints": [
    "1 whole = $$\\frac{8}{8}$$.",
    "Count how many $$\\frac{1}{8}$$ pieces make a whole."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 8."
  },
  {
   "n": 15,
   "type_id": 2,
   "question": "$$\\frac{3}{5}$$ = $$\\frac{12}{[?]}$$<br>What is the missing number in the box?",
   "answer0": "20",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 80,
   "difficulty_id": 1,
   "explanation": "The numerator 3 becomes 12, multiplied by 4. So the denominator 5 must also be multiplied by 4: 5 × 4 = 20.",
   "hints": [
    "What times 3 gives 12? Multiply the denominator by the same number.",
    "3 × 4 = 12, so 5 × 4 = ?"
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 20. Equivalent fractions."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "$$\\frac{2}{3}$$ + $$\\frac{2}{9}$$ = [?]",
   "answer0": "8/9",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 1,
   "explanation": "Convert $$\\frac{2}{3}$$ to $$\\frac{6}{9}$$. Then $$\\frac{6}{9}$$ + $$\\frac{2}{9}$$ = $$\\frac{8}{9}$$.",
   "hints": [
    "Make the denominators the same (9).",
    "$$\\frac{2}{3}$$ = $$\\frac{6}{9}$$."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 8/9. FIB answer kept plain as 8/9."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "Write the decimal represented by A.<br>[?]",
   "answer0": "0.48",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "The number line runs from 0.4 to 0.5, divided into 10 equal parts (each 0.01). A points to the 8th mark after 0.4, so A = 0.48.",
   "hints": [
    "The gap from 0.4 to 0.5 is divided into 10 small parts.",
    "Each small part is 0.01; count from 0.4 to arrow A."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q17",
   "image_needed": true,
   "image_page": 9,
   "image_bbox": [
    0.28,
    0.18,
    0.62,
    0.28
   ],
   "image_loc": "number line from 0.4 to 0.5 with arrow A pointing up, near top of page",
   "image_options": false,
   "image_file": "q17.png",
   "notes": "Key: 0.48."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "Find the value of 6.37 × 8<br>[?]",
   "answer0": "50.96",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 2,
   "explanation": "6.37 × 8 = 50.96. (637 × 8 = 5096, then place the decimal: 50.96.)",
   "hints": [
    "Multiply as 637 × 8 first, then put the decimal point.",
    "6.37 has 2 decimal places."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 50.96."
  },
  {
   "n": 19,
   "type_id": 2,
   "question": "Measure and write down the size of ∠x.<br>[?]°",
   "answer0": "138",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Using a protractor, ∠x measures 138°.",
   "hints": [
    "Use a protractor aligned to the base line.",
    "∠x is obtuse, between 90° and 180°."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q19",
   "image_needed": true,
   "image_page": 9,
   "image_bbox": [
    0.3,
    0.6,
    0.66,
    0.78
   ],
   "image_loc": "angle drawing with horizontal base line and slanted ray, ∠x marked, lower part of page",
   "image_options": false,
   "image_file": "q19.png",
   "notes": "Key: 138°. Answer given as plain number; unit ° in stem."
  },
  {
   "n": 20,
   "type_id": 2,
   "question": "The figure is made up of straight lines that meet at right angles. Find the perimeter of the figure.<br>[?] cm",
   "answer0": "60",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 96,
   "difficulty_id": 2,
   "explanation": "The horizontal sides total to twice the top width and the vertical sides total to twice the height. Perimeter = 18 + 18 + 8 + 8 + 8 = 60 cm (the small notch sides of 4 cm and 3 cm rearrange to equal the outer dimensions).",
   "hints": [
    "For rectilinear figures, the missing sides add up to the outer length/width.",
    "Total horizontal = 2 × 18, total vertical = 2 × 8 (notch parts cancel)."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q20",
   "image_needed": true,
   "image_page": 10,
   "image_bbox": [
    0.27,
    0.18,
    0.6,
    0.32
   ],
   "image_loc": "rectilinear (notched) figure with labels 18 cm, 8 cm, 4 cm, 3 cm, upper part of page",
   "image_options": false,
   "image_file": "q20.png",
   "notes": "Key: 60 cm. Working: 18+18+8+8+8=60."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "The sum of two numbers is 9081. The difference between the two numbers is 4523. What is the smaller number?<br>[?]",
   "answer0": "2279",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Smaller number = (sum − difference) ÷ 2 = (9081 − 4523) ÷ 2 = 4558 ÷ 2 = 2279.",
   "hints": [
    "Subtract the difference from the sum to get twice the smaller number.",
    "(9081 − 4523) ÷ 2."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2279."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "The pie chart shows the favourite food of a group of children. $$\\frac{1}{2}$$ of the children chose nuggets as their favourite food.<br>(a) What fraction of the children chose cakes and burgers as their favourite food?<br>(b) How many children like burgers?",
   "answer0": "1/4",
   "answer1": "18",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 236,
   "difficulty_id": 3,
   "explanation": "(a) Nuggets = $$\\frac{1}{2}$$. Fish balls fill a quarter (right angle marked), so fish balls = $$\\frac{1}{4}$$. Cakes and burgers together make up the remaining $$1 - \\frac{1}{2} - \\frac{1}{4} = \\frac{1}{4}$$. (b) Fish balls = 41 children = $$\\frac{1}{4}$$ of total, so total = 164. Cakes + burgers = $$\\frac{1}{4}$$ of 164 = 41. Burgers = 41 − cakes(23) = 18.",
   "hints": [
    "The whole pie is 1; subtract the nuggets and fish balls fractions.",
    "Fish balls (41) is one quarter → find the total, then subtract cakes (23)."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q22",
   "image_needed": true,
   "image_page": 11,
   "image_bbox": [
    0.34,
    0.24,
    0.66,
    0.46
   ],
   "image_loc": "Favourite Food pie chart with Burgers, Cakes 23, Fish balls 41, Nuggets sectors",
   "image_options": false,
   "image_file": "q22.png",
   "notes": "Two blanks (a) and (b). Key: (a) 1/4, (b) 18 (=41−23)."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "A tank and 2 buckets contain 8.15 $$l$$ of water. The volume of water in the tank is 3 times the volume of water in each bucket. What is the volume of water in each bucket?<br>[?] $$l$$",
   "answer0": "1.63",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Tank = 3 units, 2 buckets = 2 units, total = 5 units = 8.15 l. 1 unit (one bucket) = 8.15 ÷ 5 = 1.63 l.",
   "hints": [
    "Let each bucket be 1 unit; tank = 3 units. Total = 5 units.",
    "8.15 ÷ 5 = volume in one bucket."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1.63 l."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "Mrs Toh had $33.60. After paying $7.80 for a packet of chocolate chip cookies, she had just enough money to buy 4 packets of butter cookies. How much did a packet of butter cookies cost?<br>$ [?]",
   "answer0": "6.45",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Money left for butter cookies = 33.60 − 7.80 = 25.80. One packet = 25.80 ÷ 4 = $6.45.",
   "hints": [
    "Subtract the chocolate chip cost first.",
    "Divide the remaining money by 4."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: $6.45. Answer plain 6.45 ($ in stem)."
  },
  {
   "n": 25,
   "type_id": 0,
   "question": "In the square grid, EF and EH are two sides of square EFGH. Complete and label the drawing of square EFGH.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 201,
   "difficulty_id": 2,
   "explanation": "Plot G so that EFGH forms a square: G is positioned so that FG = EH and HG = EF, with FG parallel to EH and HG parallel to EF. Join F to G and H to G to complete the square.",
   "hints": [
    "Opposite sides of a square are equal and parallel.",
    "Use the grid to copy the lengths and directions of EF and EH."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q25",
   "image_needed": true,
   "image_page": 13,
   "image_bbox": [
    0.2,
    0.17,
    0.66,
    0.48
   ],
   "image_loc": "square grid with partial square EFGH (points E, F, H drawn), upper part of page",
   "image_options": false,
   "image_file": "q25.png",
   "notes": "Drawing/construction task — no value answer. type_id 0 (skipped on insert). Key shows completed square drawn on grid."
  },
  {
   "n": 26,
   "type_id": 0,
   "question": "(a) There are 10 shaded squares in the figure. Shade 3 more squares to form a symmetric figure with XY as the line of symmetry. (b) Complete the symmetric figure with line CD as the line of symmetry.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 144,
   "difficulty_id": 2,
   "explanation": "(a) Reflect the existing shaded squares across the diagonal line XY and shade the 3 squares needed so the pattern is symmetric about XY. (b) Reflect the given shape across line CD to complete the mirror image below CD.",
   "hints": [
    "Each shaded square should have a mirror image the same distance on the other side of the line.",
    "Fold along the line of symmetry — both halves must match."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q26",
   "image_needed": true,
   "image_page": 14,
   "image_bbox": [
    0.28,
    0.18,
    0.66,
    0.74
   ],
   "image_loc": "(a) shaded 5x5 grid with diagonal line XY; (b) grid with partial figure and horizontal line CD",
   "image_options": false,
   "image_file": "q26.png",
   "notes": "Shading/drawing symmetry task — no value answer. type_id 0 (skipped on insert)."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "A rectangular piece of paper is folded as shown. What is the area of the rectangular piece of paper before it is folded?<br>[?] cm²",
   "answer0": "168",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "When unfolded, the length = 10 + 8 + 3 = 21 cm and the breadth = 8 cm. Area = length × breadth = 21 × 8 = 168 cm².",
   "hints": [
    "Add up the parts to find the full unfolded length: 10 + 8 + 3.",
    "Area of rectangle = length × breadth."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q27",
   "image_needed": true,
   "image_page": 15,
   "image_bbox": [
    0.5,
    0.16,
    0.78,
    0.4
   ],
   "image_loc": "folded paper diagram with labels 8 cm, 10 cm, 3 cm, upper right of page",
   "image_options": false,
   "image_file": "q27.png",
   "notes": "Key: 168 cm². Length=10+8+3=21, breadth=8."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "Joseph and Kelvin started running at 11 45. Joseph took 1 h 10 min to complete his run. Kelvin took 30 minutes longer than Joseph. What time did Kelvin complete his run? Give your answer using the 24-hour clock.<br>[?]",
   "answer0": "1325",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "Kelvin's duration = 1 h 10 min + 30 min = 1 h 40 min. Starting at 1145: 1145 + 1 h = 1245, + 40 min = 1325. Kelvin completed his run at 1325.",
   "hints": [
    "First find Kelvin's running time: 1 h 10 min + 30 min.",
    "Add the duration to 1145 in 24-hour clock."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q28",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1325."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "The graph shows the number of bottle caps collected by 5 pupils for a Recycling Project.<br>(a) How many bottle caps did Sarah, Ahmad and Devi collect in total?<br>(b) Who collected twice the number of bottle caps as John?",
   "answer0": "138",
   "answer1": "Yu Hong",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "(a) From the bar graph: Sarah = 18, Ahmad = 55, Devi = 65. Total = 18 + 55 + 65 = 138 bottle caps. (b) John = 40. Twice of 40 = 80, which is Yu Hong's bar.",
   "hints": [
    "Read each pupil's bar height from the graph.",
    "For (b), double John's amount and find whose bar matches."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q29",
   "image_needed": true,
   "image_page": 16,
   "image_bbox": [
    0.2,
    0.22,
    0.78,
    0.5
   ],
   "image_loc": "bar graph of bottle caps for John, Sarah, Ahmad, Devi, Yu Hong, centre of page",
   "image_options": false,
   "image_file": "q29.png",
   "notes": "Two blanks. Key: (a) 138 bottle caps, (b) Yu Hong. (b) is a name → acceptable FIB short text."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "The line graph shows the amount of money saved by Sam from January to June.<br>(a) How much money did Sam save in February?<br>$ [?]<br>(b) During which 1-month period was the increase in the amount of money saved by Sam the greatest?<br>[?] to [?]",
   "answer0": "64",
   "answer1": "April",
   "answer2": "May",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "(a) Reading the February point on the line graph gives $64. (b) Compare month-to-month increases: April ($40) to May ($77) shows the steepest rise (+$37), the greatest 1-month increase.",
   "hints": [
    "Read the value of the dot above February.",
    "For (b), find the steepest upward segment of the line."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q30",
   "image_needed": true,
   "image_page": 17,
   "image_bbox": [
    0.2,
    0.2,
    0.78,
    0.46
   ],
   "image_loc": "line graph of amount Sam saved Jan-Jun, centre of page",
   "image_options": false,
   "image_file": "q30.png",
   "notes": "Three blanks: (a)=64, (b)=April to May. Key: (a) $64, (b) April to May."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "Which two of the following figures are not the nets of a cube?<br>[?] and [?]",
   "answer0": "A",
   "answer1": "D",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 232,
   "difficulty_id": 2,
   "explanation": "A valid cube net must fold into 6 faces with no overlap. Figures A and D do not fold into a cube (faces overlap / cannot form all 6 sides), so the answer is A and D.",
   "hints": [
    "Mentally fold each net into a box.",
    "A net that causes two faces to overlap is not a valid cube net."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q31",
   "image_needed": true,
   "image_page": 18,
   "image_bbox": [
    0.18,
    0.17,
    0.72,
    0.3
   ],
   "image_loc": "four net figures labelled A, B, C, D across the upper part of page",
   "image_options": false,
   "image_file": "q31.png",
   "notes": "Two blanks. Key: A and D. Answers are figure labels."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "Pears are sold at the prices shown.<br>1 pear: $1<br>1 bag of 4 pears: $3<br>1 box of 10 pears: $6<br>Claire wants to buy 16 pears for a class party. What is the least amount of money she needs to pay for the pears?<br>$ [?]",
   "answer0": "11",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Cheapest combination for 16 pears: 1 box of 10 ($6) + 1 bag of 4 ($3) = 14 pears for $9, then 2 single pears (16 − 14 = 2) at $1 each = $2. Total = 6 + 3 + 2 = $11.",
   "hints": [
    "Buy the largest/cheapest-per-pear packs first.",
    "10-box ($6) + 4-bag ($3) = 14 pears, then add single pears."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q32",
   "image_needed": true,
   "image_page": 18,
   "image_bbox": [
    0.16,
    0.4,
    0.78,
    0.55
   ],
   "image_loc": "three priced pear groupings (1 pear $1, bag of 4 $3, box of 10 $6), middle of page",
   "image_options": false,
   "image_file": "q32.png",
   "notes": "Key: $11. (Question body says 'apples' but figure/context is pears.)"
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "$$\\frac{4}{7}$$ kg of flour is needed to bake 6 buns. Melvin has 3 kg of flour and he baked 12 buns. How much flour does he have left?<br>[?] kg",
   "answer0": "1 6/7",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "12 buns is twice 6 buns, so flour used = $$\\frac{4}{7}$$ × 2 = $$\\frac{8}{7}$$ = $$1\\frac{1}{7}$$ kg. Flour left = 3 − $$1\\frac{1}{7}$$ = $$2\\frac{7}{7}$$ − $$1\\frac{1}{7}$$ = $$1\\frac{6}{7}$$ kg.",
   "hints": [
    "12 buns = 2 × 6 buns, so double the flour for 6 buns.",
    "Subtract the flour used from 3 kg."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q33",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1 6/7 kg. FIB answer plain mixed number '1 6/7'."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "Elsie has 24 keychains and 32 bookmarks. She packed the keychains and bookmarks equally into gift bags with none left over. What is the greatest number of gift bags she can pack?<br>[?]",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "Find the highest common factor of 24 and 32. Factors of 24: 1,2,3,4,6,8,12,24. Factors of 32: 1,2,4,8,16,32. The greatest common factor is 8, so 8 gift bags.",
   "hints": [
    "Find the common factors of 24 and 32.",
    "Take the largest factor they share (HCF)."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q34",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 8 gift bags. (Key working labels it 'highest common multiple' but the method is HCF.)"
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "Mrs Tan baked some muffins. $$\\frac{4}{5}$$ of the muffins were chocolate and the rest were vanilla. There were 240 more chocolate muffins than vanilla muffins. How many vanilla muffins did Mrs Tan bake?<br>[?]",
   "answer0": "80",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Chocolate = $$\\frac{4}{5}$$ (4 units), vanilla = $$\\frac{1}{5}$$ (1 unit). Difference = 4 − 1 = 3 units = 240. 1 unit = 240 ÷ 3 = 80. Vanilla = 1 unit = 80 muffins.",
   "hints": [
    "Split into 5 units: 4 chocolate, 1 vanilla.",
    "The difference is 3 units = 240."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q35",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 80 vanilla muffins."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Ali bought 455 boxes of pens. Each box contained 12 pens.<br>(a) How many pens did Ali buy altogether?<br>(b) Ali repacked the pens into packets of 8. How many pens were left unpacked?",
   "answer0": "5460",
   "answer1": "4",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "(a) 455 × 12 = 5460 pens. (b) 5460 ÷ 8 = 682 remainder 4, so 4 pens are left unpacked.",
   "hints": [
    "(a) Multiply boxes by pens per box.",
    "(b) Divide the total by 8; the remainder is the leftover."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q36",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two blanks. Key: (a) 5460 pens, (b) 4 pens."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "Fatimah and Ben had 828 stamps altogether. After Fatimah gave 68 stamps to Ben, Ben had three times as many stamps as Fatimah.<br>(a) How many stamps did Fatimah have in the end?<br>(b) How many stamps did Ben have at first?",
   "answer0": "207",
   "answer1": "553",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "(a) After giving, total is still 828, split as Fatimah:Ben = 1:3 = 4 units. 1 unit = 828 ÷ 4 = 207. Fatimah had 207 stamps in the end. (b) Ben in the end = 3 × 207 = 621. Ben at first = 621 − 68 (the stamps he received) = 553.",
   "hints": [
    "Total stays 828 after the transfer; split into 1 + 3 = 4 units.",
    "Ben at first = Ben in the end minus the 68 he received."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q37",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two blanks. Key: (a) 207 stamps, (b) 553 stamps."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Mr Chan bought a wallet, a belt and a shirt. The wallet cost twice as much as the belt. The shirt cost $6 less than the belt. He paid $90.80 in total.<br>(a) How much did the belt cost?<br>(b) How much did the wallet cost?",
   "answer0": "24.20",
   "answer1": "48.40",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Belt = 1 unit, wallet = 2 units, shirt = 1 unit − $6. Total = 4 units − 6 = 90.80, so 4 units = 96.80, 1 unit = 96.80 ÷ 4 = $24.20 (belt). (b) Wallet = 2 units = 2 × 24.20 = $48.40.",
   "hints": [
    "Let the belt be 1 unit; wallet = 2 units; shirt = 1 unit − $6.",
    "Add $6 back to the total to make 4 equal units."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q38",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two blanks. Key: (a) $24.20, (b) $48.40."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "ABCD is a rectangle and EFGC is a square.<br>(a) ∠x is a/an [?] angle.<br>(b) Find ∠y.<br>[?]°",
   "answer0": "obtuse",
   "answer1": "32",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 230,
   "difficulty_id": 3,
   "explanation": "(a) ∠x is an obtuse angle (greater than 90°, less than 180°). (b) ∠DCB of the rectangle = 90°. ∠DCE = 67° and ∠ECF = 35°. ∠BCF (which is the corner of the square at C = 90°) gives: 90° − 67° = 23° (∠ECB part), 23° + 35° = 58°, then ∠y = 90° − 58° = 32°.",
   "hints": [
    "(a) Compare ∠x to a right angle.",
    "(b) The rectangle corner and the square corner are both 90°; subtract the known angles."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q39",
   "image_needed": true,
   "image_page": 24,
   "image_bbox": [
    0.28,
    0.17,
    0.62,
    0.36
   ],
   "image_loc": "rectangle ABCD with square EFGC attached at C, angles 67°, 35°, x, y marked",
   "image_options": false,
   "image_file": "q39.png",
   "notes": "Two blanks: (a) obtuse (MCQ-style circle but acceptable as word FIB matching key), (b) 32. Key: (a) obtuse, (b) 32°."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "Samantha started doing her homework at 15 35. She took 1 h 5 min to complete her homework. After that, she swam till 18 10.<br>(a) How long did she swim? Give your answer in hours and minutes.<br>(b) Ken started doing his homework 50 minutes before Samantha started doing her homework. He took 1 h 25 min to complete. What time did he finish his homework? Give your answer using the 12-hour clock.",
   "answer0": "1 h 30 min",
   "answer1": "4.10 pm",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 3,
   "explanation": "(a) Samantha finished homework at 1535 + 1 h 5 min = 1640. She swam from 1640 to 1810 = 1 h 30 min. (b) Ken started 50 min before 1535 = 1445. He finished at 1445 + 1 h 25 min = 1610 = 4.10 pm.",
   "hints": [
    "(a) Find when homework ended, then count to 1810.",
    "(b) Subtract 50 min from 1535 to get Ken's start, then add 1 h 25 min."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q40",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two blanks. Key: (a) 1 h 30 min, (b) 4.10 pm."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "Lisa spent $$\\frac{4}{7}$$ of her money on a mobile phone and $65 on a set of earphones. She had $190 left in the end. How much did the mobile phone cost?<br>$ [?]",
   "answer0": "340",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Mobile phone = $$\\frac{4}{7}$$ (4 units), so remaining money = $$\\frac{3}{7}$$ (3 units). The 3 units = $65 + $190 = $255. 1 unit = 255 ÷ 3 = $85. Mobile phone = 4 units = 4 × 85 = $340.",
   "hints": [
    "Total money = 7 units; phone takes 4 units, leaving 3 units.",
    "The 3 units equal the earphones ($65) plus the $190 left."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: $340."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Cheryl had $1253 and Fiona had $845. After each of them bought a bag at the same price, Cheryl had 5 times as much money as Fiona.<br>(a) How much more money does Cheryl have than Fiona at first?<br>(b) What was the cost of the bag?",
   "answer0": "408",
   "answer1": "743",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "(a) Difference at first = 1253 − 845 = $408. The difference stays the same after both spend the same amount. (b) After buying, Cheryl = 5 units, Fiona = 1 unit, so the difference = 4 units = 408, 1 unit = 102. Fiona has $102 left, so bag cost = 845 − 102 = $743.",
   "hints": [
    "(a) Subtract the two starting amounts.",
    "(b) The difference is 4 units (5−1); find 1 unit (Fiona's money left), then subtract from $845."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two blanks. Key: (a) $408, (b) $743."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "A piece of wire has a length of 116 cm. It is bent to form rectangle WXYZ. XY has a length of 12 cm.<br>(a) Find the length of ZY.<br>[?] cm<br>(b) The same piece of wire is straightened and used to bend into 4 squares of different sizes. PQ is a straight line. Find the length of PQ.<br>[?] cm",
   "answer0": "46",
   "answer1": "29",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 136,
   "difficulty_id": 3,
   "explanation": "(a) Perimeter of rectangle = 116 cm. The two short sides (XY) = 12 × 2 = 24 cm. The two long sides = 116 − 24 = 92 cm, so one long side ZY = 92 ÷ 2 = 46 cm. (b) The 4 squares are made from the same 116 cm of wire. PQ is the total horizontal span; PQ = 116 ÷ 4 = 29 cm.",
   "hints": [
    "(a) Perimeter = 2 × length + 2 × breadth. Subtract the two 12 cm sides first.",
    "(b) The wire forms 4 squares; PQ length = total wire ÷ 4."
   ],
   "source": "Henry Park 2025 P4 End-of-Year Exam Q43",
   "image_needed": true,
   "image_page": 28,
   "image_bbox": [
    0.27,
    0.18,
    0.62,
    0.32
   ],
   "image_loc": "rectangle WXYZ with 12 cm side and ? side marked, upper part of page (second figure of 4 squares P-Q is lower on page)",
   "image_options": false,
   "image_file": "q43.png",
   "notes": "Two blanks. Key: (a) 46 cm, (b) 29 cm. Two figures on page (rectangle WXYZ upper, 4-squares PQ lower); bbox captures the WXYZ rectangle."
  }
 ]
}