{
 "paper": {
  "school": "Henry Park",
  "year": 2024,
  "level": "P4",
  "label": "End-of-Year Exam",
  "source_prefix": "Henry Park 2024 P4 End-of-Year Exam",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "What is the value of 30 000 + 4000 + 800 + 2 ?",
   "answer0": "30 482",
   "answer1": "34 082",
   "answer2": "34 802",
   "answer3": "34 820",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "Add by place value: 30 000 + 4000 + 800 + 2 = 34 802.",
   "hints": [
    "Line up the place values: ten-thousands, thousands, hundreds, ones.",
    "30 000 + 4000 = 34 000; 34 000 + 800 + 2 = 34 802."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (34 802)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "The value of the digit 7 in 27 905 is [?].",
   "answer0": "70",
   "answer1": "700",
   "answer2": "7000",
   "answer3": "70 000",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "In 27 905 the digit 7 is in the thousands place, so its value is 7 × 1000 = 7000.",
   "hints": [
    "Identify the place of the digit 7.",
    "7 sits in the thousands column."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (7000). Stem prints a blank line; rendered as [?]."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "How many quarters are there in 3 wholes?",
   "answer0": "$$\\frac{3}{4}$$",
   "answer1": "$$1\\frac{1}{3}$$",
   "answer2": "12",
   "answer3": "4",
   "correct_answer": 2,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "Each whole has 4 quarters. 3 wholes = 3 × 4 = 12 quarters.",
   "hints": [
    "1 whole = 4 quarters.",
    "Multiply 4 by 3."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (12)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Which of the following decimals is the greatest?",
   "answer0": "3.589",
   "answer1": "3.657",
   "answer2": "3.178",
   "answer3": "3.019",
   "correct_answer": 1,
   "skill_id": 124,
   "difficulty_id": 1,
   "explanation": "All have the same whole-number part 3. Compare tenths: 3.657 has 6 tenths, the largest, so 3.657 is greatest.",
   "hints": [
    "Whole parts are all 3; compare the tenths digit.",
    "6 tenths > 5 > 1 > 0."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (3.657)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Express $$\\frac{63}{100}$$ as a decimal.",
   "answer0": "0.063",
   "answer1": "0.603",
   "answer2": "0.63",
   "answer3": "6.03",
   "correct_answer": 2,
   "skill_id": 127,
   "difficulty_id": 1,
   "explanation": "Hundredths: $$\\frac{63}{100}$$ = 0.63.",
   "hints": [
    "A fraction over 100 gives hundredths (2 decimal places).",
    "63 hundredths = 0.63."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (0.63)."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "Which two lines are perpendicular to each other?",
   "answer0": "CD and DE",
   "answer1": "CI and FG",
   "answer2": "EF and FG",
   "answer3": "GH and HI",
   "correct_answer": 2,
   "skill_id": 100,
   "difficulty_id": 2,
   "explanation": "Perpendicular lines meet at a right angle. EF is horizontal (top edge) and FG is vertical (right edge), meeting at F at 90°.",
   "hints": [
    "Look for two lines that meet at a square-corner (right angle).",
    "The top edge EF and the right edge FG form a right angle at F."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 4,
   "image_bbox": [
    0.3,
    0.5,
    0.7,
    0.72
   ],
   "image_loc": "middle of page: labelled polygon CDEFGHI",
   "notes": "Key: option 3 (EF and FG)."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "A square cardboard has sides of length 8 cm. Find its area.",
   "answer0": "12 cm²",
   "answer1": "16 cm²",
   "answer2": "32 cm²",
   "answer3": "64 cm²",
   "correct_answer": 3,
   "skill_id": 137,
   "difficulty_id": 1,
   "explanation": "Area of a square = side × side = 8 × 8 = 64 cm².",
   "hints": [
    "Area of a square = side × side.",
    "8 × 8 = 64."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (64 cm²)."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "The table shows the number of story books read by the students of Primary 4J in a particular week.<br>How many students read fewer than 3 story books in that week?",
   "answer0": "36",
   "answer1": "39",
   "answer2": "3",
   "answer3": "40",
   "correct_answer": 0,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "Fewer than 3 books means 0, 1 or 2 books: 2 + 13 + 21 = 36 students.",
   "hints": [
    "'Fewer than 3' means 0, 1 and 2 books.",
    "Add the student counts: 2 + 13 + 21."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": "q8.png",
   "image_page": 5,
   "image_bbox": [
    0.24,
    0.39,
    0.78,
    0.46
   ],
   "image_loc": "frequency table: books read (0-4) vs number of students",
   "notes": "Key: option 1 (36). Table: books 0/1/2/3/4 -> students 2/13/21/3/1."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Mrs Li used $$\\frac{1}{4}$$ kg of flour to bake brownies. She used $$\\frac{1}{2}$$ kg more flour to bake muffins than brownies. What was the total mass of flour she used to bake brownies and muffins?",
   "answer0": "1 kg",
   "answer1": "$$\\frac{2}{6}$$ kg",
   "answer2": "$$\\frac{3}{4}$$ kg",
   "answer3": "$$\\frac{3}{10}$$ kg",
   "correct_answer": 0,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "Muffins = $$\\frac{1}{4}+\\frac{1}{2}=\\frac{1}{4}+\\frac{2}{4}=\\frac{3}{4}$$ kg. Total = $$\\frac{1}{4}+\\frac{3}{4}=1$$ kg.",
   "hints": [
    "First find the flour for muffins: brownies + 1/2 kg.",
    "Then add the brownie and muffin amounts."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (1 kg)."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "In the figure, how many of the marked angles are greater than a right angle?",
   "answer0": "1",
   "answer1": "2",
   "answer2": "5",
   "answer3": "4",
   "correct_answer": 3,
   "skill_id": 99,
   "difficulty_id": 2,
   "explanation": "Comparing each marked angle to a right angle (90°): 4 of the marked angles are obtuse/reflex (greater than a right angle).",
   "hints": [
    "A right angle is a square corner (90°).",
    "Count the angles that open wider than a square corner."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q10",
   "image_needed": true,
   "image_options": false,
   "image_file": "q10.png",
   "image_page": 6,
   "image_bbox": [
    0.3,
    0.46,
    0.72,
    0.66
   ],
   "image_loc": "irregular polygon with marked interior angles",
   "notes": "Key: option 4 (4)."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "Write the missing number in the number pattern below.<br>4630, 4860, 5090, [?], 5550.",
   "answer0": "5320",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 1,
   "explanation": "The pattern increases by 230 each time (4630 → 4860 → 5090). 5090 + 230 = 5320. Check: 5320 + 230 = 5550.",
   "hints": [
    "Find the common difference: 4860 − 4630 = 230.",
    "Add 230 to 5090."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 5320."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Round 26 754 to the nearest hundred.<br>[?]",
   "answer0": "26800",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "Look at the tens digit (5). Since 5 ≥ 5, round the hundreds up: 26 754 → 26 800.",
   "hints": [
    "Check the tens digit to decide whether to round up or down.",
    "Tens digit is 5, so round up."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 26800."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Some factors of 45 are 1, 3, 9 and 45. What are the other two factors of 45?<br>[?] and [?]",
   "answer0": "5",
   "answer1": "15",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 111,
   "difficulty_id": 1,
   "explanation": "Factor pairs of 45: 1×45, 3×15, 5×9. The missing factors are 5 and 15.",
   "hints": [
    "Find pairs of numbers that multiply to 45.",
    "3 × 15 = 45 and 5 × 9 = 45."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 5 and 15 (order interchangeable)."
  },
  {
   "n": 14,
   "type_id": 2,
   "question": "Express $$\\frac{14}{21}$$ in its simplest form.<br>[?]",
   "answer0": "2/3",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "Divide numerator and denominator by their HCF 7: $$\\frac{14}{21}=\\frac{14\\div7}{21\\div7}=\\frac{2}{3}$$.",
   "hints": [
    "Find a common factor of 14 and 21.",
    "Both divide by 7."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 14/21 = 2/3. FIB answer kept plain a/b."
  },
  {
   "n": 15,
   "type_id": 2,
   "question": "Write $$4\\frac{2}{5}$$ as an improper fraction.<br>[?]",
   "answer0": "22/5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "4 × 5 + 2 = 22, over the same denominator 5: $$4\\frac{2}{5}=\\frac{22}{5}$$.",
   "hints": [
    "Multiply the whole number by the denominator, then add the numerator.",
    "4 × 5 + 2 = 22."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 22/5. FIB answer kept plain a/b."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "Find the value of $$2-\\frac{1}{2}-\\frac{1}{8}$$<br>[?]",
   "answer0": "1 3/8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Convert to eighths: 2 = $$\\frac{16}{8}$$. $$\\frac{16}{8}-\\frac{4}{8}-\\frac{1}{8}=\\frac{11}{8}=1\\frac{3}{8}$$.",
   "hints": [
    "Make all parts eighths.",
    "16/8 − 4/8 − 1/8 = 11/8."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1 3/8. FIB answer kept plain (mixed number)."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "Write the decimal represented by A.<br>[?]",
   "answer0": "0.47",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "Between 0.4 and 0.5 there are 10 small intervals of 0.01 each. Arrow A points to the 7th mark after 0.4, i.e. 0.47.",
   "hints": [
    "Each small division between 0.4 and 0.5 is 0.01.",
    "Count the marks from 0.4 to the arrow."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q17",
   "image_needed": true,
   "image_options": false,
   "image_file": "q17.png",
   "image_page": 9,
   "image_bbox": [
    0.22,
    0.16,
    0.62,
    0.27
   ],
   "image_loc": "number line marked 0.4 to 0.5 with arrow labelled A",
   "notes": "Key: 0.47."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "Find the value of 7.39 × 6<br>[?]",
   "answer0": "44.34",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 1,
   "explanation": "7.39 × 6 = 44.34 (739 × 6 = 4434, then place the decimal point 2 places).",
   "hints": [
    "Multiply as whole numbers: 739 × 6.",
    "Then put back the 2 decimal places."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 44.34."
  },
  {
   "n": 19,
   "type_id": 2,
   "question": "Measure and write down the size of $$\\angle y$$.<br>[?]",
   "answer0": "45",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Using a protractor on the angle between the horizontal ray and the slanted ray gives $$\\angle y=45°$$.",
   "hints": [
    "Line the protractor base on the horizontal arm.",
    "Read where the slanted arm crosses the scale."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q19",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 9,
   "image_bbox": [
    0.24,
    0.62,
    0.56,
    0.8
   ],
   "image_loc": "angle y between a horizontal ray and a ray going up-right",
   "notes": "Key: 45 (degrees). Answer line prints the ° unit; answer is the number 45."
  },
  {
   "n": 20,
   "type_id": 2,
   "question": "Sarah joined 4 identical rectangular pieces of paper to form a frame around a square picture. The perimeter of the frame is 36 cm. Find the length of one side of the picture.<br>[?]",
   "answer0": "5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "The outer frame is a square. Outer side = perimeter ÷ 4 = 36 ÷ 4 = 9 cm. Each strip is 2 cm wide, so two strips take 2 × 2 = 4 cm off. Picture side = 9 − 4 = 5 cm.",
   "hints": [
    "The frame's outer edge is a square; find its side from the perimeter.",
    "Subtract twice the 2 cm border width."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q20",
   "image_needed": true,
   "image_options": false,
   "image_file": "q20.png",
   "image_page": 10,
   "image_bbox": [
    0.34,
    0.18,
    0.62,
    0.34
   ],
   "image_loc": "square frame around a picture, 2 cm border width labelled",
   "notes": "Key: 5 (cm). Answer line prints the cm unit."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "George spent $590 on rent and $180 on food every month. How much money will he spend on rent and food in a year?<br>$[?]",
   "answer0": "9240",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Monthly spending = 590 + 180 = $770. In a year (12 months): 770 × 12 = $9240.",
   "hints": [
    "Add the monthly rent and food first.",
    "Multiply the monthly total by 12."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 9240 (dollars). Answer line prefixed with $."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "Each child at a party chose only 1 flavour of ice cream. The bar graph shows their choices.<br>How many more children chose chocolate than vanilla ice cream?<br>[?]",
   "answer0": "22",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "Chocolate = 36 children, vanilla = 14 children. Difference = 36 − 14 = 22.",
   "hints": [
    "Read the chocolate and vanilla bar heights.",
    "Subtract: chocolate − vanilla."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q22",
   "image_needed": true,
   "image_options": false,
   "image_file": "q22.png",
   "image_page": 11,
   "image_bbox": [
    0.14,
    0.17,
    0.74,
    0.5
   ],
   "image_loc": "bar graph of ice cream flavours vs number of children",
   "notes": "Key: 36 − 14 = 22."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "Find the difference between 5.4 and 229 hundredths. Express the answer as a decimal.<br>[?]",
   "answer0": "3.11",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 2,
   "explanation": "229 hundredths = 2.29. Difference = 5.4 − 2.29 = 3.11.",
   "hints": [
    "Write 229 hundredths as a decimal: 2.29.",
    "Subtract: 5.40 − 2.29."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2.29 hundredths -> 5.4 - 2.29 = 3.11."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "Mrs Tan bought some meat for $12.55 and a bottle of chilli sauce for $3.70. She gave the cashier $20. How much change did Mrs Tan receive?<br>$[?]",
   "answer0": "3.75",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Total spent = 12.55 + 3.70 = $16.25. Change = 20 − 16.25 = $3.75.",
   "hints": [
    "Add the two prices first.",
    "Subtract the total from $20."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: $3.75. Answer line prefixed with $."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "How many line(s) of symmetry is/are there in the figure?<br>[?]",
   "answer0": "2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "The arrow/cross figure folds onto itself about a vertical line and a horizontal line, giving 2 lines of symmetry.",
   "hints": [
    "Try folding the figure vertically and horizontally.",
    "Count the folds where both halves match exactly."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q25",
   "image_needed": true,
   "image_options": false,
   "image_file": "q25.png",
   "image_page": 13,
   "image_bbox": [
    0.3,
    0.53,
    0.56,
    0.78
   ],
   "image_loc": "symmetrical arrow/cross figure for part (b)",
   "notes": "Q25 part (a) is a draw/shade task (no app type) and is dropped; only part (b) (count lines of symmetry) is captured. Key: b) 2."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "DEFG is a rectangle with an area of 20 cm². PQRS is a rectangle that has the same area as DEFG but has a different length and breadth. Give one possible measurement of the length and breadth of the rectangle PQRS.<br>Length [?] cm, Breadth [?] cm",
   "answer0": "10",
   "answer1": "2",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "Need length × breadth = 20 with values different from DEFG (which is 5 cm × 4 cm). One valid pair: 10 cm × 2 cm = 20 cm².",
   "hints": [
    "Find two numbers whose product is 20.",
    "Choose a pair different from 5 × 4, e.g. 10 × 2 or 20 × 1."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q26",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Q26 part (a) is a draw-the-rectangle-on-grid task (no app type) and is dropped; only part (b) captured. Key: length 10 cm, breadth 2 cm (other factor pairs of 20, except 5x4, also accepted)."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "The figure consists of 6 identical squares. Each of the squares has an area of 49 cm². Find the perimeter of the figure.<br>[?] cm",
   "answer0": "84",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Each square side = $$\\sqrt{49}$$ = 7 cm. Counting the outer edges of the staircase figure gives 12 side-lengths: 12 × 7 = 84 cm.",
   "hints": [
    "Area 49 means each square is 7 cm by 7 cm.",
    "Count how many 7 cm edges form the outline of the whole figure."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q27",
   "image_needed": true,
   "image_options": false,
   "image_file": "q27.png",
   "image_page": 15,
   "image_bbox": [
    0.33,
    0.16,
    0.58,
    0.27
   ],
   "image_loc": "L/staircase figure of 6 squares (3 top, offset 3 bottom)",
   "notes": "Key: 21+21+7+7+7+7+7+7 = 84 (perimeter, twelve 7 cm edges). Answer line prints cm unit."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "Benny took 1 h 15 min to travel from his home to the factory. He arrived at the factory at 14 15. What time did he leave his home? Give your answer in 24-hour clock.<br>[?]",
   "answer0": "1300",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "Subtract the journey time from the arrival time: 14 15 − 1 h 15 min = 13 00.",
   "hints": [
    "Work backwards from 14 15.",
    "Subtract 1 hour, then 15 minutes."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q28",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1300 (24-hour clock)."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "The graph represents the number of books sold over four months, from July to October. The information is also represented by a pie chart. Fill in the missing months in the pie chart.<br>(a) [?]<br>(b) [?]<br>(c) [?]<br>(d) [?]",
   "answer0": "October",
   "answer1": "July",
   "answer2": "August",
   "answer3": "September",
   "correct_answer": null,
   "skill_id": 235,
   "difficulty_id": 3,
   "explanation": "Bar values: July 60, August 80, September 180, October 160. Bigger sales = bigger pie slice. Slice (a) is large = October (160); (b) smallest = July (60); (c) = August (80); (d) largest = September (180).",
   "hints": [
    "Read each month's sales from the bar graph.",
    "Match the biggest slice to the biggest sales figure."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q29",
   "image_needed": true,
   "image_options": false,
   "image_file": "q29.png",
   "image_page": 16,
   "image_bbox": [
    0.18,
    0.18,
    0.72,
    0.66
   ],
   "image_loc": "bar graph (top) and pie chart with slices a,b,c,d (below)",
   "notes": "Key: a) October, b) July, c) August, d) September. Slices identified by relative size vs bar values."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "A store offered 300 pots at a discounted price during a 5-week sale. The line graph shows the number of pots left unsold at the end of each week at a store.<br>How many pots were sold by the end of Week 5?<br>[?]",
   "answer0": "270",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "At Week 5, 30 pots remain unsold. Sold = 300 − 30 = 270.",
   "hints": [
    "Read the number of pots left at Week 5 from the graph.",
    "Subtract the leftover from the starting 300."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q30",
   "image_needed": true,
   "image_options": false,
   "image_file": "q30.png",
   "image_page": 17,
   "image_bbox": [
    0.18,
    0.18,
    0.76,
    0.42
   ],
   "image_loc": "line graph: number of pots left vs week (start to Week 5)",
   "notes": "Key: 300 - 30 = 270 (30 pots left at Week 5)."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "Alice, Bella and Clara have a total of $1004. Alice has twice as much money as Bella. Clara has $190 less than Bella. How much money does Bella have?<br>$[?]",
   "answer0": "298.50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let Bella = 1 unit. Alice = 2 units, Clara = 1 unit − 190. Total = 4 units − 190 = 1004, so 4 units = 1194, 1 unit = 1194 ÷ 4 = $298.50.",
   "hints": [
    "Use Bella as 1 unit; write Alice and Clara in terms of units.",
    "Add $190 back to the total before dividing by the number of units."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q31",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1194 / 4 = 298.5 (i.e. $298.50). Answer line prefixed with $."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "The mass of a cup is 0.55 kg. The total mass of 8 identical cups and 1 plate is 5.6 kg. What is the mass of 1 plate? Leave your answer as a decimal.<br>[?] kg",
   "answer0": "1.2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "8 cups = 0.55 × 8 = 4.4 kg. Plate = 5.6 − 4.4 = 1.2 kg.",
   "hints": [
    "Find the total mass of the 8 cups.",
    "Subtract the cups' mass from 5.6 kg."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q32",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 0.55 × 8 = 4.4; 5.6 − 4.4 = 1.2. Answer line prints kg unit."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "Audrey thought of a decimal number with 2 decimal places. When she rounded the number to the nearest tenth, the value was 529.0. Find the smallest possible value of the decimal number Audrey thought of.<br>[?]",
   "answer0": "528.95",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 128,
   "difficulty_id": 3,
   "explanation": "Numbers that round to 529.0 (nearest tenth) range from 528.95 up to 529.04. The smallest 2-decimal-place value is 528.95.",
   "hints": [
    "The number must round to 529.0 at the tenths place.",
    "The smallest such value is halfway down: 528.95."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q33",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 528.95."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "A box contains blue, green and red marbles. $$\\frac{1}{4}$$ of the marbles are blue. There are 24 more green than blue marbles. The remaining 32 marbles are red. How many marbles are there in the box?<br>[?]",
   "answer0": "112",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Blue = 1 unit (1/4 of total), so total = 4 units and green + red = 3 units. Green = blue + 24 = 1 unit + 24. Green + red = (1 unit + 24) + 32 = 3 units, so 2 units = 56, 1 unit = 28. Total = 4 × 28 = 112.",
   "hints": [
    "Let the total be 4 units since blue is 1/4.",
    "Green + red make up the other 3 units; set up and solve for 1 unit."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q34",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 24+32=56; 56 / 2 = 28; 28 × 4 = 112."
  },
  {
   "n": 35,
   "type_id": 0,
   "question": "The diagram shows an incomplete net of a cube. (a) Shade 1 square to complete the net of the cube. (b) The net of the pyramid drawn is incorrect. Shade the face that does not fit.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 232,
   "difficulty_id": 2,
   "explanation": "Both parts require shading on a diagram (no value answer). (a) Add one square so the 6 squares fold into a cube. (b) Shade the extra triangular face that prevents the net folding into the pyramid.",
   "hints": [],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q35",
   "image_needed": true,
   "image_options": false,
   "image_file": "q35.png",
   "image_page": 20,
   "image_bbox": [
    0.18,
    0.2,
    0.78,
    0.82
   ],
   "image_loc": "cube net on grid (a) and solid/net pyramid table (b)",
   "notes": "type_id 0 — pure shade/draw task, no value/sequence answer; SKIPPED on insert. Key shows shading only."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "ABC Bookshop had 4960 pens at first. It sold a total of 1372 pens. (a) How many pens were not sold? (b) The unsold pens were repacked into packets of 7 pens. How many pens were left unpacked?<br>(a) [?]<br>(b) [?]",
   "answer0": "3588",
   "answer1": "4",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "(a) Not sold = 4960 − 1372 = 3588 pens. (b) 3588 ÷ 7 = 512 remainder 4, so 4 pens are left unpacked.",
   "hints": [
    "(a) Subtract the pens sold from the starting amount.",
    "(b) Divide the unsold pens by 7 and look at the remainder."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q36",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 4960−1372 = 3588; b) 3588 ÷ 7 = 512 R4 → 4."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "Jane baked 861 apple and orange tarts. Helen baked 1425 apple and chocolate tarts. They baked the same number of apple tarts. The number of chocolate tarts was 4 times the number of orange tarts. (a) How many orange tarts did Jane bake? (b) Helen received another 200 apple tarts from Sophia. How many apple tarts did Helen have now?<br>(a) [?]<br>(b) [?]",
   "answer0": "188",
   "answer1": "873",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let orange = 1 unit, chocolate = 4 units. Apple (same for both) = 861 − orange = 1425 − chocolate, so 861 − 1 unit = 1425 − 4 units → 3 units = 564 → 1 unit = 188 orange tarts. (b) Apple tarts = 861 − 188 = 673; after 200 more: 673 + 200 = 873.",
   "hints": [
    "Let orange = 1 unit and chocolate = 4 units; the apple counts are equal.",
    "Form an equation from the two totals to find 1 unit."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q37",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 1425−861 = 564; 564 / 3 = 188 (orange). b) 861−188 = 673; 673+200 = 873."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Mrs Ling had a sum of money. After spending $$\\frac{5}{8}$$ of her money on a laptop and a camera, she had $3087 left. (a) Find the amount of money that Mrs Ling had spent. (b) The laptop cost $130 more than the camera. Find the cost of the camera.<br>(a) $[?]<br>(b) $[?]",
   "answer0": "5145",
   "answer1": "2507.50",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "She kept $$\\frac{3}{8}$$ = $3087, so 1/8 = 3087 ÷ 3 = $1029. (a) Spent = $$\\frac{5}{8}$$ = 1029 × 5 = $5145. (b) Laptop + camera = 5145; laptop is $130 more, so 2 cameras = 5145 − 130 = 5015, camera = 5015 ÷ 2 = $2507.50.",
   "hints": [
    "The $3087 left equals 3/8 of her money; find 1/8.",
    "(b) Subtract the $130 difference, then halve."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q38",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 3087 / 3 = 1029; 1029 × 5 = 5145. b) 5145−130 = 5015; 5015 / 2 = 2507.50. Answer lines prefixed with $."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "Macy cut a square piece of paper into 2 identical shapes and size. One part of the paper was painted grey. The perimeter of the grey part is 40 cm. (a) Find the length of BC. (b) Macy then rearranges the position of the 2 parts into the figure shown. Find the perimeter of the figure.<br>(a) [?]<br>(b) [?]",
   "answer0": "16",
   "answer1": "64",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "The square has side DC = 8 cm. The grey staircase half has perimeter made of horizontal pieces totalling 2 sides (= 2 × 8 = 16) and vertical pieces totalling 2 sides; given perimeter 40 cm. (a) BC = 40 ÷ 2 − DC = 16 cm. (b) Rearranging the two identical halves keeps total edge length the same as the grey perimeter doubling pattern; the rearranged figure's perimeter = 64 cm.",
   "hints": [
    "The grey part is half a square; use its 40 cm perimeter with the 8 cm base.",
    "(b) Track how the cut edges become outer edges when rearranged."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q39",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 24,
   "image_bbox": [
    0.3,
    0.18,
    0.58,
    0.32
   ],
   "image_loc": "square ABCD with grey staircase half, 8 cm base labelled",
   "notes": "Answer key page is partly obscured by overwriting for Q39; values shown are the standard solution (a) BC=16 cm, (b) perimeter 64 cm. VERIFY: key not fully legible for Q39 — recheck before publishing."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "Ethan left his home at 10:45 am and took 25 minutes to cycle to the hawker centre. After having his lunch, he left the hawker centre at 11:45 am. (a) How long was Ethan at the hawker centre? (b) From the hawker centre, Ethan cycled for 10 minutes to the supermarket. He spent 1 h 15 min in the supermarket before cycling home. What time did Ethan leave the supermarket?<br>(a) [?]<br>(b) [?]",
   "answer0": "35 min",
   "answer1": "1:10 pm",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 93,
   "difficulty_id": 2,
   "explanation": "(a) Arrived at hawker centre at 10:45 + 25 min = 11:10 am; left at 11:45 am, so time there = 35 min. (b) Reached supermarket at 11:45 + 10 min = 11:55 am; spent 1 h 15 min, leaving at 11:55 am + 1 h 15 min = 1:10 pm.",
   "hints": [
    "(a) Find the arrival time first, then subtract from 11:45 am.",
    "(b) Add the 10 min cycle and the 1 h 15 min stay to the departure time."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q40",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 35 min; b) 1:10 pm. FIB answers kept as printed strings."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "Raju and Jerry collected a total of 5468 stamps. After Raju gave away 890 stamps to Jerry, Raju had 3 times as many stamps as Jerry. (a) How many stamps did Jerry have at first? (b) How many stamps did Raju have in the end?<br>(a) [?]<br>(b) [?]",
   "answer0": "477",
   "answer1": "4101",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "After the transfer the total is still 5468 = 4 units (Jerry 1 unit, Raju 3 units), so 1 unit = 5468 ÷ 4 = 1367 = Jerry in the end. (a) Jerry at first = 1367 − 890 = 477. (b) Raju in the end = 3 units = 1367 × 3 = 4101.",
   "hints": [
    "The total stamps don't change after the transfer; split into 4 equal units.",
    "(a) Subtract the 890 Jerry received; (b) Raju keeps 3 units."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 5468 / 4 = 1367; a) 1367−890 = 477; b) 1367 × 3 = 4101."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "At first, there were a total of 1638 children at a carnival. After $$\\frac{1}{2}$$ of the boys and $$\\frac{4}{5}$$ of the girls went home, there was an equal number of boys and girls remaining at the carnival. How many more girls than boys were there at the carnival at first?<br>[?]",
   "answer0": "702",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Boys remaining = 1/2 boys; girls remaining = 1/5 girls. These are equal: 1/2 boys = 1/5 girls → girls = 2.5 × boys, i.e. boys : girls = 2 : 5. Total units = 7 = 1638, so 1 unit = 234. Boys = 2 × 234 = 468, girls = 5 × 234 = 1170. More girls = 1170 − 468 = 702 (= 3 units = 234 × 3).",
   "hints": [
    "Set the remaining boys equal to the remaining girls to get the boy:girl ratio.",
    "Split 1638 by the ratio, then find the difference."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1638 / 7 = 234; 234 × 3 = 702 (difference)."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "In the figure, ABCD is a rectangle and $$\\angle ECD$$ is 32°. (a) Find $$\\angle x$$. (b) Given that $$\\angle x$$ is twice the size of $$\\angle y$$, find $$\\angle y$$.<br>(a) [?]<br>(b) [?]",
   "answer0": "58",
   "answer1": "29",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 230,
   "difficulty_id": 3,
   "explanation": "(a) $$\\angle BCD$$ = 90° (rectangle corner). $$\\angle x = \\angle BCE = 90° − 32° = 58°$$. (b) $$\\angle x$$ is twice $$\\angle y$$, so $$\\angle y = 58° ÷ 2 = 29°$$.",
   "hints": [
    "The angle at corner C of the rectangle is 90°.",
    "(a) Subtract 32° from 90°. (b) Halve angle x."
   ],
   "source": "Henry Park 2024 P4 End-of-Year Exam Q43",
   "image_needed": true,
   "image_options": false,
   "image_file": "q43.png",
   "image_page": 28,
   "image_bbox": [
    0.22,
    0.2,
    0.66,
    0.38
   ],
   "image_loc": "rectangle ABCD with line CE, angles 32°, x and y marked at C",
   "notes": "Key: a) 90−32 = 58; b) 58 / 2 = 29. Answers in degrees."
  }
 ]
}