{
 "paper": {
  "school": "Maha Bodhi",
  "year": 2025,
  "level": "P4",
  "label": "End-of-Year Exam",
  "source_prefix": "Maha Bodhi 2025 P4 End-of-Year Exam",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "The value of the digit 5 in 20 561 is ____________ .",
   "answer0": "50",
   "answer1": "500",
   "answer2": "5000",
   "answer3": "50 000",
   "correct_answer": 1,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "In 20 561, the digit 5 is in the hundreds place. Its value is 5 hundreds = 500.",
   "hints": [
    "Look at which place the digit 5 sits in.",
    "5 is in the hundreds column."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (500)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "3 and 5 are factors of ____________ .",
   "answer0": "6",
   "answer1": "10",
   "answer2": "15",
   "answer3": "26",
   "correct_answer": 2,
   "skill_id": 113,
   "difficulty_id": 1,
   "explanation": "A number with both 3 and 5 as factors must be divisible by 3 and by 5. 15 = 3 × 5, so both 3 and 5 are factors of 15.",
   "hints": [
    "The number must divide exactly by both 3 and 5.",
    "Multiples of both 3 and 5 are multiples of 15."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (15)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "Which of the following shows $$\\frac{1}{6}$$ of the figure shaded?",
   "answer0": "Figure 1",
   "answer1": "Figure 2",
   "answer2": "Figure 3",
   "answer3": "Figure 4",
   "correct_answer": 2,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "$$\\frac{1}{6}$$ means 1 shaded part out of 6 equal parts. Figure 3 is divided into 6 equal columns with exactly 1 shaded.",
   "hints": [
    "The whole must be split into 6 equal parts.",
    "Exactly one of the six parts should be shaded."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q3",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "image_page": 2,
   "image_loc": "the four option bar-figures stacked below the question on lower half of page",
   "notes": "Image-option MCQ: four bar figures (1)-(4). Key: option 3. Crop each option to q3_opt0.png..q3_opt3.png."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "$$\\frac{1}{3}$$ + $$\\frac{1}{12}$$ = ____________",
   "answer0": "$$\\frac{5}{12}$$",
   "answer1": "$$\\frac{2}{12}$$",
   "answer2": "$$\\frac{1}{36}$$",
   "answer3": "$$\\frac{2}{15}$$",
   "correct_answer": 0,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Convert to twelfths: $$\\frac{1}{3}$$ = $$\\frac{4}{12}$$. Then $$\\frac{4}{12}$$ + $$\\frac{1}{12}$$ = $$\\frac{5}{12}$$.",
   "hints": [
    "Make the denominators the same first.",
    "$$\\frac{1}{3}$$ = $$\\frac{4}{12}$$."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (5/12)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Figure ABCDEF is drawn on the square grid. Which statement is true?",
   "answer0": "AB is parallel to FE.",
   "answer1": "AB is perpendicular to BC.",
   "answer2": "AF is perpendicular to FE.",
   "answer3": "AF is parallel to BC.",
   "correct_answer": 3,
   "skill_id": 100,
   "difficulty_id": 2,
   "explanation": "Reading the grid, AF and BC run in the same direction (same slope), so AF is parallel to BC.",
   "hints": [
    "Compare the slope of each pair of segments on the grid.",
    "Parallel lines have the same direction; perpendicular lines meet at a right angle."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 3,
   "image_loc": "square-grid figure ABCDEF in middle of page above the statement",
   "notes": "Key: option 4 (AF is parallel to BC)."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "Arrange these decimals from the smallest to the greatest.<br>7.6 , 0.76 , 7.06 , 0.67",
   "answer0": "0.67 , 0.76 , 7.06 , 7.6",
   "answer1": "0.76 , 0.67 , 7.06 , 7.6",
   "answer2": "0.67 , 7.6 , 7.06 , 0.76",
   "answer3": "0.76 , 0.67 , 7.6 , 7.06",
   "correct_answer": 0,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare whole-number parts first: 0.67 and 0.76 are less than 1; 7.06 and 7.6 are over 7. Order: 0.67, 0.76, 7.06, 7.6.",
   "hints": [
    "Compare the whole-number part before the decimal.",
    "0.67 < 0.76 < 7.06 < 7.6."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "ABCD is a square. Find ∠x.",
   "answer0": "47°",
   "answer1": "46°",
   "answer2": "45°",
   "answer3": "44°",
   "correct_answer": 3,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "Angle ABC of the square is 90°. The two marked angles at B are 27° and 19°, total 46°. So ∠x = 90° − 27° − 19° = 44°.",
   "hints": [
    "Each corner of a square is 90°.",
    "Subtract the two given angles from 90°."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 4,
   "image_loc": "square ABCD with diagonals and marked angles 27°, 19°, x at corner B, centred below the question",
   "notes": "Key: option 4 (44°)."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Which of the following is not a symmetric figure?",
   "answer0": "Figure A",
   "answer1": "Figure B",
   "answer2": "Figure C",
   "answer3": "Figure D",
   "correct_answer": 1,
   "skill_id": 144,
   "difficulty_id": 2,
   "explanation": "An isosceles trapezium (A, D) and the figure C have lines of symmetry. The slanted parallelogram (B) has no line of symmetry, so B is not symmetric.",
   "hints": [
    "A symmetric figure can be folded so two halves match exactly.",
    "A slanted parallelogram has no line of symmetry."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q8",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "image_page": 5,
   "image_loc": "four labelled shapes A (top-left trapezium), B (top-right parallelogram), C (circle with chord), D (bottom-right trapezium) in upper half of page",
   "notes": "Image-option MCQ. Key: option 2 (B). Crop each shape to q8_opt0.png..q8_opt3.png."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Mary used $$\\frac{3}{8}$$ of the beads to make necklaces and had 200 beads left. How many beads did Mary have at first?",
   "answer0": "40",
   "answer1": "50",
   "answer2": "120",
   "answer3": "320",
   "correct_answer": 3,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "Beads left = 1 − $$\\frac{3}{8}$$ = $$\\frac{5}{8}$$ of the total = 200. So $$\\frac{1}{8}$$ = 200 ÷ 5 = 40, and the total = 40 × 8 = 320.",
   "hints": [
    "The 200 beads left are $$\\frac{5}{8}$$ of the total.",
    "Find $$\\frac{1}{8}$$ first, then multiply by 8."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (320)."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "Express 0.08 as a fraction in its simplest form.",
   "answer0": "$$\\frac{4}{5}$$",
   "answer1": "$$\\frac{1}{8}$$",
   "answer2": "$$\\frac{1}{10}$$",
   "answer3": "$$\\frac{2}{25}$$",
   "correct_answer": 3,
   "skill_id": 126,
   "difficulty_id": 2,
   "explanation": "0.08 = $$\\frac{8}{100}$$. Divide numerator and denominator by 4: $$\\frac{8}{100}$$ = $$\\frac{2}{25}$$.",
   "hints": [
    "0.08 means 8 hundredths.",
    "Simplify $$\\frac{8}{100}$$ by dividing both by 4."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (2/25)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "The perimeter of a rectangle is 48 cm. Given that the breadth is 6 cm, what is the length of the rectangle?",
   "answer0": "12 cm",
   "answer1": "18 cm",
   "answer2": "36 cm",
   "answer3": "42 cm",
   "correct_answer": 1,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "Perimeter = 2 × (length + breadth). 48 = 2 × (length + 6), so length + 6 = 24, giving length = 18 cm.",
   "hints": [
    "Perimeter = 2 × (length + breadth).",
    "Half the perimeter is length + breadth = 24 cm."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 6,
   "image_loc": "rectangle diagram with 6 cm breadth marked and ? length, centred below the question",
   "notes": "Key: option 2 (18 cm). Figure is illustrative; question solvable from text."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "There is a big water tank and the water in it is used for watering the garden. The line graph shows the remaining amount of water in the tank over six hours.<br>How much water was used between 13 00 to 14 00?",
   "answer0": "10 ℓ",
   "answer1": "20 ℓ",
   "answer2": "30 ℓ",
   "answer3": "50 ℓ",
   "correct_answer": 3,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "Read the line graph: at 13 00 about 35 ℓ remain and at 14 00 about 22 ℓ remain. Water used ≈ the drop shown. Per the answer key the answer is option 4.",
   "hints": [
    "Read the water level at 13 00 and at 14 00.",
    "Water used = level at 13 00 minus level at 14 00."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 6,
   "image_loc": "line graph titled 'Amount of water in a tank', x-axis time 09 00 to 15 00, lower-middle of page",
   "notes": "Key: option 4 (50ℓ). Answer must be read off the graph; the cropped line-graph image is required for the student to solve."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "Which of the following are nets of a cube?",
   "answer0": "A and B",
   "answer1": "A and C",
   "answer2": "B and D",
   "answer3": "C and D",
   "correct_answer": 3,
   "skill_id": 232,
   "difficulty_id": 2,
   "explanation": "A net of a cube folds into 6 faces with none overlapping. Nets C and D fold correctly into a cube; A and B do not.",
   "hints": [
    "A cube net has 6 squares.",
    "Imagine folding each net up to see if it forms a closed cube."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q13",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "image_page": 7,
   "image_loc": "four square-grid nets labelled A (top-left), B (top-right), C (mid-left), D (mid-right) in upper half of page",
   "notes": "Image-option MCQ (options reference labelled nets A-D). Key: option 4 (C and D). Crop each net to q13_opt0.png..q13_opt3.png."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "Emily is decorating the notice board with cards in the following pattern.<br>What is the shape of the 35th card?",
   "answer0": "Triangle",
   "answer1": "Circle",
   "answer2": "Heart",
   "answer3": "Star",
   "correct_answer": 2,
   "skill_id": 108,
   "difficulty_id": 2,
   "explanation": "The pattern repeats every 4 cards: triangle, circle, heart, star. 35 ÷ 4 = 8 remainder 3, so the 35th card is the 3rd in the cycle = heart.",
   "hints": [
    "The pattern repeats in groups of 4 shapes.",
    "Find the remainder when 35 is divided by 4."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q14",
   "image_needed": true,
   "image_options": false,
   "image_file": "q14.png",
   "image_page": 7,
   "image_loc": "row of repeating shapes (triangle, circle, heart, star) marked 1st and 12th, below the question",
   "notes": "Key: option 3 (heart). Options are pictured shapes but each has a clear word label, so text options used."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "The bar graph shows the number of students in the band CCA. The number of students in the band CCA is not shown on the scale.<br>Which two levels have a possible total of 50 students in the band CCA?",
   "answer0": "Primary 5 and Primary 6",
   "answer1": "Primary 4 and Primary 6",
   "answer2": "Primary 3 and Primary 5",
   "answer3": "Primary 3 and Primary 4",
   "correct_answer": 3,
   "skill_id": 104,
   "difficulty_id": 3,
   "explanation": "Reading relative bar heights, Primary 3 and Primary 4 are the two shortest bars; only their combined total can be as small as 50. Per the key, option 4.",
   "hints": [
    "Compare the heights of the bars even without exact numbers.",
    "Two short bars give the smallest possible total."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 8,
   "image_loc": "bar graph 'Number of Students in Band CCA', bars for Primary 3-6, upper half of page",
   "notes": "Key: option 4 (Primary 3 and Primary 4). Bar graph image required to interpret."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "Write twenty-one thousand and twelve in numerals.<br>[?]",
   "answer0": "21012",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 106,
   "difficulty_id": 1,
   "explanation": "Twenty-one thousand = 21 000, plus twelve = 12, giving 21 012.",
   "hints": [
    "Twenty-one thousand is 21 000.",
    "Add the twelve at the end: 21 000 + 12."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 21012."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "Write the missing number in the number pattern below.<br>11 200 , 10 800 , 10 400 , 10 000 , [?] , 9200",
   "answer0": "9600",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 1,
   "explanation": "The pattern decreases by 400 each step: 10 000 − 400 = 9600 (and 9600 − 400 = 9200).",
   "hints": [
    "Find the difference between consecutive numbers.",
    "Each number is 400 less than the one before."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q17",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 9600."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "What is the remainder when 3068 is divided by 7?<br>[?]",
   "answer0": "2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "3068 ÷ 7 = 438 remainder 2 (since 438 × 7 = 3066, and 3068 − 3066 = 2).",
   "hints": [
    "Do long division of 3068 by 7.",
    "438 × 7 = 3066, leaving 2."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2."
  },
  {
   "n": 19,
   "type_id": 2,
   "question": "Which two of the fractions below are smaller than $$\\frac{1}{2}$$ ?<br>$$\\frac{7}{12}$$ , $$\\frac{3}{7}$$ , $$\\frac{2}{5}$$ , $$\\frac{5}{10}$$<br>[?] and [?]",
   "answer0": "3/7",
   "answer1": "2/5",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare each to $$\\frac{1}{2}$$: $$\\frac{7}{12}$$ > $$\\frac{6}{12}$$ so bigger; $$\\frac{3}{7}$$ < $$\\frac{3.5}{7}$$ so smaller; $$\\frac{2}{5}$$ < $$\\frac{2.5}{5}$$ so smaller; $$\\frac{5}{10}$$ = $$\\frac{1}{2}$$. So $$\\frac{3}{7}$$ and $$\\frac{2}{5}$$ are smaller.",
   "hints": [
    "A fraction is less than $$\\frac{1}{2}$$ if its numerator is less than half its denominator.",
    "$$\\frac{5}{10}$$ equals $$\\frac{1}{2}$$, not smaller."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q19",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 3/7 and 2/5. Two blanks; order interchangeable but stored as printed."
  },
  {
   "n": 20,
   "type_id": 2,
   "question": "What is the value of $$\\frac{5}{6}$$ − $$\\frac{2}{3}$$ ?<br>[?]",
   "answer0": "1/6",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Convert $$\\frac{2}{3}$$ to sixths: $$\\frac{2}{3}$$ = $$\\frac{4}{6}$$. Then $$\\frac{5}{6}$$ − $$\\frac{4}{6}$$ = $$\\frac{1}{6}$$.",
   "hints": [
    "Make both fractions sixths.",
    "$$\\frac{2}{3}$$ = $$\\frac{4}{6}$$."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q20",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1/6."
  },
  {
   "n": 21,
   "type_id": 0,
   "question": "Name the 2 angles that are greater than 90°.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 139,
   "difficulty_id": 2,
   "explanation": "From the figure of intersecting lines, the reflex/obtuse-looking angles b and d open wider than a right angle. Answer: ∠b and ∠d.",
   "hints": [
    "A right angle is exactly 90°; look for angles that open wider.",
    "The wide angles in the figure are b and d."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q21",
   "image_needed": true,
   "image_options": false,
   "image_file": "q21.png",
   "image_page": 11,
   "image_loc": "intersecting-lines figure with angles a, b, c, d, e labelled, lower-left of page",
   "notes": "type_id 0: answer is letter labels (∠b and ∠d) tied to a figure, not a numeric value, and a letter FIB grades fragile per project rules. Key: ∠b and ∠d. SKIPPED on insert."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "Round 29.51 to the nearest whole number.<br>[?]",
   "answer0": "30",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "The first decimal digit is 5, so round up: 29.51 rounds to 30.",
   "hints": [
    "Look at the digit just after the decimal point.",
    "Since it is 5 or more, round up."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q22",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 30."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "8.7 − 0.88 = [?]",
   "answer0": "7.82",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 2,
   "explanation": "Write 8.7 as 8.70. Then 8.70 − 0.88 = 7.82.",
   "hints": [
    "Line up the decimal points and write 8.7 as 8.70.",
    "Subtract the hundredths first."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 7.82."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "Find the value of 7.56 × 9<br>[?]",
   "answer0": "68.04",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 2,
   "explanation": "7.56 × 9: 756 × 9 = 6804, then place two decimal places back: 68.04.",
   "hints": [
    "Multiply 756 by 9 first, ignoring the decimal point.",
    "There are 2 decimal places in 7.56, so the answer has 2 as well."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 68.04."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "What is the missing number in the box?<br>$$6\\frac{2}{9}$$ = $$\\frac{[?]}{9}$$",
   "answer0": "56",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "Convert the mixed number to an improper fraction: 6 × 9 + 2 = 56, so $$6\\frac{2}{9}$$ = $$\\frac{56}{9}$$.",
   "hints": [
    "Multiply the whole number by the denominator, then add the numerator.",
    "6 × 9 + 2 = 56."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q25",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 56. Displayed as a fraction with a boxed numerator over 9; single answer blank is the numerator."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "How many faces does the figure have?<br>[?]",
   "answer0": "5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 231,
   "difficulty_id": 1,
   "explanation": "Figure A is a square-based pyramid: 1 square base + 4 triangular faces = 5 faces.",
   "hints": [
    "Count the flat surfaces, including the base.",
    "A square pyramid has 4 sloping faces and 1 base."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q26",
   "image_needed": true,
   "image_options": false,
   "image_file": "q26.png",
   "image_page": 13,
   "image_loc": "3-D square-based pyramid labelled 'Figure A', upper part of page",
   "notes": "Key: 5. Stripped directional reference to 'Figure A' from stem; figure required."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "In a class, $$\\frac{3}{5}$$ of the students are girls. There are 24 girls. How many boys and girls are there in the class?<br>[?]",
   "answer0": "40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "$$\\frac{3}{5}$$ of the class = 24 girls, so 1 unit ($$\\frac{1}{5}$$) = 24 ÷ 3 = 8. Total class = 5 units = 8 × 5 = 40 students.",
   "hints": [
    "3 units represent the 24 girls.",
    "1 unit = 24 ÷ 3 = 8, then 5 units for the whole class."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q27",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1 unit = 24 ÷ 3 = 8; 5 units = 40. Asks for total class = 40."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "Arrange these numbers in decreasing order.<br>$$\\frac{84}{100}$$ , 0.8 , 0.804 , $$\\frac{84}{10}$$<br>[?] , [?] , [?] , [?]",
   "answer0": "84/10",
   "answer1": "84/100",
   "answer2": "0.804",
   "answer3": "0.800",
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 3,
   "explanation": "As decimals: $$\\frac{84}{10}$$ = 8.4, $$\\frac{84}{100}$$ = 0.84, 0.804, 0.8 = 0.800. Decreasing: 8.4 ($$\\frac{84}{10}$$), 0.84 ($$\\frac{84}{100}$$), 0.804, 0.800.",
   "hints": [
    "Convert every value to a decimal first.",
    "8.4 is much larger than the rest; then compare 0.84, 0.804, 0.800."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q28",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 84/10, 84/100, 0.804, 0.800. Answers stored as printed forms (fractions plain a/b)."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "A bag of sand had a mass of 109 kg. It was repacked into 7 sacks. What was the mass of each sack? Give your answer correct to 1 decimal place.<br>[?] $$kg$$",
   "answer0": "15.6",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 125,
   "difficulty_id": 2,
   "explanation": "109 ÷ 7 = 15.57... ≈ 15.6 kg (correct to 1 decimal place).",
   "hints": [
    "Divide 109 by 7.",
    "15.57... rounds to 15.6 to 1 decimal place."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q29",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 109 ÷ 7 ≈ 15.6 kg. Unit kg pre-printed; answer is the number 15.6."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "The table shows the amount of money Mr Tan spent in the month of June. The amount of money spent on leisure is not shown. Food $680 , Leisure ? , Transport $240. Mr Tan spent $300 more on food than on leisure. What was his total spending?<br>$$$$[?]",
   "answer0": "1300",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Leisure = 680 − 300 = $380. Total = 680 (food) + 380 (leisure) + 240 (transport) = $1300.",
   "hints": [
    "Food is $300 more than leisure, so leisure = 680 − 300.",
    "Add food, leisure and transport for the total."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q30",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: leisure 380; total $1300. Table values folded into stem text. Answer is 1300 (dollar sign pre-printed)."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "Jennifer poured 6 cups of orange juice into a jug. Each cup contained 270 ml of orange juice. How much orange juice were there in the jug? Give your answer in litres and millilitres.<br>[?] $$l$$ [?] $$ml$$",
   "answer0": "1",
   "answer1": "620",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 86,
   "difficulty_id": 2,
   "explanation": "270 ml × 6 = 1620 ml. 1620 ml = 1 litre 620 ml.",
   "hints": [
    "Multiply 270 ml by 6.",
    "1000 ml = 1 litre, so 1620 ml = 1 ℓ 620 ml."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q31",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 270 x 6 = 1620 = 1L 620 ml. Two blanks: litres and ml (units pre-printed)."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "Jerry watched a movie that ended at 01 25. The movie lasted for 2 h 30 min. What time did the movie start? Express your answer in 24-hour clock.<br>[?]",
   "answer0": "2255",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "Subtract 2 h 30 min from 01 25. 01 25 − 30 min = 00 55; 00 55 − 2 h = 22 55 (the previous day). Start time = 2255.",
   "hints": [
    "Work backwards from 01 25 by 2 h 30 min.",
    "Going back before midnight wraps to the 22xx range."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q32",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2255."
  },
  {
   "n": 33,
   "type_id": 0,
   "question": "Draw the geometric figure by joining dots on the grid with straight lines. Draw with a pencil.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 231,
   "difficulty_id": 2,
   "explanation": "Copy the 3-D drawing of the cuboid (4 units by 3 units by 3 units) onto the dot grid by joining dots with straight lines, as shown in the answer key.",
   "hints": [
    "Match the edge lengths shown: 4 units, 3 units, 3 units.",
    "Join the dots to reproduce the solid drawing."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q33",
   "image_needed": true,
   "image_options": false,
   "image_file": "q33.png",
   "image_page": 15,
   "image_loc": "3-D cuboid drawing (4 units, 3 units, 3 units) beside a dot grid, middle of page",
   "notes": "type_id 0: genuinely interactive draw-on-grid task, no value answer. Key shows the cuboid drawn on the grid. SKIPPED on insert."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "The figure shows 4 identical squares. What is the smallest number of such squares that must be added to the figure to make it a bigger square?<br>[?]",
   "answer0": "12",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "The smallest bigger square is a 4 × 4 arrangement = 16 small squares. Already have 4, so 16 − 4 = 12 squares must be added.",
   "hints": [
    "A bigger square needs a square number of small squares (4, 9, 16, ...).",
    "16 small squares form a 4×4 square; subtract the 4 you already have."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q34",
   "image_needed": true,
   "image_options": false,
   "image_file": "q34.png",
   "image_page": 16,
   "image_loc": "L-shaped arrangement of 4 unit squares, upper-left of page",
   "notes": "Key: 4 x 4 = 16; 16 − 4 = 12."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "The figure is made up of a frame using 4 identical rectangular pieces of paper around a square picture. The area of the figure is 81 cm2. Find the length of one side of the picture.<br>[?] $$cm$$",
   "answer0": "5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 137,
   "difficulty_id": 3,
   "explanation": "The whole figure is a square of area 81 cm2, so each side = 9 cm. The frame is 2 cm wide on each side, so the inner picture side = 9 − 2 − 2 = 5 cm.",
   "hints": [
    "81 = 9 × 9, so the big square has side 9 cm.",
    "Subtract the 2 cm frame from both ends: 9 − 2 − 2."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q35",
   "image_needed": true,
   "image_options": false,
   "image_file": "q35.png",
   "image_page": 16,
   "image_loc": "square frame around a smiley-face picture, with ? width and 2 cm marked, middle of page",
   "notes": "Key: 81 = 9x9; 9 − 2 − 2 = 5 cm. Unit cm pre-printed."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Jun Hao has $50. He has $16 less than Sue. Li Ann has 3 times as much money as Sue. How much money do they have in all?<br>$$$$[?]",
   "answer0": "314",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Sue = 50 + 16 = $66. Li Ann = 3 × 66 = $198. Total = 198 + 66 + 50 = $314.",
   "hints": [
    "Jun Hao has $16 less than Sue, so Sue = 50 + 16.",
    "Add Jun Hao, Sue and Li Ann's amounts."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q36",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: Sue 66; Li Ann 198; total $314. Answer 314 (dollar sign pre-printed)."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "Jane has more than 50 sweets but fewer than 100 sweets. When she gives 7 sweets to each of her friends, she will have no sweets left. When she gives 8 sweets to each of her friends, she will be short of 12 sweets. How many sweets does Jane have?<br>[?]",
   "answer0": "84",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Giving 8 instead of 7 needs 1 more per friend; being short of 12 means there are 12 friends. Sweets = 7 × 12 = 84 (between 50 and 100).",
   "hints": [
    "The extra sweet per friend (8 instead of 7) times the number of friends equals the 12 shortfall.",
    "So there are 12 friends; total sweets = 7 × 12."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q37",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 12 x 7 = 84."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Jenny has 2 kg of flour. She used $$\\frac{3}{8}$$ kg of the flour to bake a cake. She used $$\\frac{1}{4}$$ kg of the flour to bake some cookies.<br>(a) How much flour did she use to bake the cake and the cookies altogether?<br>[?]<br>(b) How much flour did she have left? Express your answer as a mixed number.<br>[?]",
   "answer0": "5/8",
   "answer1": "1 3/8",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "(a) $$\\frac{3}{8}$$ + $$\\frac{1}{4}$$ = $$\\frac{3}{8}$$ + $$\\frac{2}{8}$$ = $$\\frac{5}{8}$$ kg. (b) Left = 2 − $$\\frac{5}{8}$$ = $$1\\frac{8}{8}$$ − $$\\frac{5}{8}$$ = $$1\\frac{3}{8}$$ kg.",
   "hints": [
    "For (a) make both fractions eighths and add.",
    "For (b) subtract the $$\\frac{5}{8}$$ used from 2 kg."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q38",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-part FIB. Key prints 38a as '2/8 + 3/8 = 3/8' which is an arithmetic typo; correct sum = 5/8. 38b = 1 3/8. answer0=part(a) plain 5/8, answer1=part(b) mixed number 1 3/8."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "2 sandwiches and 2 drinks cost $9.30. 3 sandwiches and 1 drink cost $10.15. What is the cost of 1 sandwich?<br>$$$$[?]",
   "answer0": "2.75",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Double the second set: 6 sandwiches + 2 drinks = $20.30. Subtract the first set (2 sandwiches + 2 drinks = $9.30): 4 sandwiches = $11.00. So 1 sandwich = 11 ÷ 4 = $2.75.",
   "hints": [
    "Double the 3-sandwich-1-drink line so both lines have 2 drinks.",
    "Subtract to leave only sandwiches, then divide."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q39",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 10.15 x 2 = 20.30; 20.30 − 9.30 = 11; 11 ÷ 4 = $2.75. Answer 2.75 (dollar sign pre-printed)."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "The table shows the number of items in a stationery shop. The number of rulers is not shown. Pencils 25 , Erasers 20 , Pens 75 , Rulers ?. How many rulers are there in the stationery shop?<br>[?]",
   "answer0": "40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 236,
   "difficulty_id": 3,
   "explanation": "From the pie chart, the rulers sector is a right angle ($$\\frac{1}{4}$$ of the circle), so rulers = $$\\frac{1}{3}$$ of the other three items. Pencils + Erasers + Pens = 25 + 20 + 75 = 120, and 120 ÷ 3 = 40 rulers.",
   "hints": [
    "The rulers sector in the pie chart is a quarter (90°) of the whole.",
    "Rulers = (25 + 20 + 75) ÷ 3."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q40",
   "image_needed": true,
   "image_options": false,
   "image_file": "q40.png",
   "image_page": 21,
   "image_loc": "pie chart with a right-angle 'Rulers' sector and blank sectors, middle of page",
   "notes": "Only part (b) is a value answer (40 rulers). Part (a) is a fill-in-the-pie-chart drawing task and is dropped. Key 40b: 120 ÷ 3 = 40. Pie chart image required."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "The figure is made up of two identical overlapping rectangles. Each rectangle measures 24 cm by 16 cm.<br>(a) What is the overlapped area?<br>[?] $$cm2$$<br>(b) What is the perimeter of the whole figure?<br>[?] $$cm$$",
   "answer0": "256",
   "answer1": "96",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "(a) The overlap is a 16 cm × 16 cm square = 256 cm2. (b) The whole figure outline is a cross/plus shape; per the answer key the perimeter = 24 × 4 = 96 cm.",
   "hints": [
    "The two rectangles cross so the overlap is a 16 cm by 16 cm square.",
    "For the perimeter, follow the outline of the whole figure."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q41",
   "image_needed": true,
   "image_options": false,
   "image_file": "q41.png",
   "image_page": 22,
   "image_loc": "two overlapping rectangles forming a cross, 16 cm and 24 cm marked, top-right of page",
   "notes": "Key 41a: 16 × 16 = 256 cm2. Key 41b: 24 × 4 = 96 cm. Two blanks (units pre-printed)."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Kumar took part in a 6 km walk-and-run race. He ran 4 km 80 m and walked for the rest of the race.<br>(a) What was the total distance Kumar walked? Give your answer in kilometres and metres.<br>[?] $$km$$ [?] $$m$$<br>(b) How much further did he run than walk?<br>[?] $$km$$ [?] $$m$$",
   "answer0": "1",
   "answer1": "920",
   "answer2": "2",
   "answer3": "160",
   "correct_answer": null,
   "skill_id": 86,
   "difficulty_id": 3,
   "explanation": "(a) Walked = 6 km − 4 km 80 m = 1 km 920 m. (b) Difference = 4 km 80 m − 1 km 920 m = 2 km 160 m.",
   "hints": [
    "6 km = 5 km 1000 m; subtract the running distance.",
    "For (b) subtract the walking distance from the running distance."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key 42a printed '1 km 930 m' but 42b uses '1 km 920 m'; 6 km − 4 km 80 m = 1 km 920 m, so 920 is correct (930 is a key typo). 42b = 2 km 160 m. Four blanks: km,m,km,m (units pre-printed)."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Ali, Betty and Chandra had 993 stickers at first. Ali gave away 96 stickers. Betty bought another 48 stickers. In the end, Ali, Betty and Chandra had the same number of stickers. How many stickers did Betty have at first?<br>[?]",
   "answer0": "267",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "After the changes the total = 993 − 96 + 48 = 945. Each ended with 945 ÷ 3 = 315. Betty ended with 315 after buying 48, so Betty had 315 − 48 = 267 at first.",
   "hints": [
    "Find the total after Ali gives away and Betty buys: 993 − 96 + 48.",
    "Each person ends with total ÷ 3; work back to Betty's start."
   ],
   "source": "Maha Bodhi 2025 P4 End-of-Year Exam Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 993 − 96 = 897; +48 = 945; 945 ÷ 3 = 315; 315 − 48 = 267."
  }
 ]
}