{
  "paper": {
    "school": "Maha Bodhi",
    "year": 2023,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Maha Bodhi 2023 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In 4960, the digit 9 is in the [?] place.",
      "answer0": "ones",
      "answer1": "tens",
      "answer2": "hundreds",
      "answer3": "thousands",
      "correct_answer": 2,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 4960, reading right to left: 0 ones, 6 tens, 9 hundreds, 4 thousands. So 9 is in the hundreds place.",
      "hints": ["Identify each digit's place from the right.", "0=ones, 6=tens, 9=hundreds, 4=thousands."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 3 (hundreds) → 0-based index 2."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is the greatest odd number?",
      "answer0": "9639",
      "answer1": "9643",
      "answer2": "9750",
      "answer3": "9778",
      "correct_answer": 1,
      "skill_id": 68,
      "difficulty_id": 2,
      "explanation": "Odd numbers end in an odd digit. 9750 and 9778 are even. Of the odd ones (9639, 9643), 9643 is greater.",
      "hints": ["An odd number ends in 1, 3, 5, 7 or 9.", "Eliminate even numbers first, then compare."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2 (9643) → 0-based index 1."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "What is the value of 1000 − 692?",
      "answer0": "307",
      "answer1": "308",
      "answer2": "418",
      "answer3": "492",
      "correct_answer": 1,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "1000 − 692 = 308.",
      "hints": ["Subtract with regrouping.", "1000 − 700 = 300, then add back 8."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2 (308) → 0-based index 1."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Sam has some money. How much money does Sam have?",
      "answer0": "$8.10",
      "answer1": "$8.40",
      "answer2": "$8.60",
      "answer3": "$8.80",
      "correct_answer": 2,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "$5 note + $2 note + $1 coin + 20c + 20c + 10c + 10c = $5 + $2 + $1 + $0.60 = $8.60.",
      "hints": ["Add the notes first, then the coins.", "Two 20c and two 10c coins make 60c."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q4",
      "image_needed": true,
      "image_page": 4,
      "image_loc": "middle of page, below the question stem; framed box showing a $5 note, a $2 note, one $1 coin, two 20c coins and two 10c coins",
      "image_options": false,
      "image_file": "q4.png",
      "notes": "Answer key: 3 ($8.60) → 0-based index 2. Figure shows $5 note, $2 note, one $1 coin, two 20c coins, two 10c coins."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which of the following has the same value as 5 × 4?",
      "answer0": "4 + 5",
      "answer1": "4 + 4 + 4 + 4",
      "answer2": "5 + 5 + 5 + 5",
      "answer3": "5 + 5 + 5 + 5 + 5",
      "correct_answer": 2,
      "skill_id": 72,
      "difficulty_id": 1,
      "explanation": "5 × 4 means four groups of 5 (or 5 groups of 4) = 20. 5 + 5 + 5 + 5 = 20.",
      "hints": ["5 × 4 = 5 added 4 times.", "Count how many fives are needed to reach 20."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 3 (5+5+5+5) → 0-based index 2."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "The bar graph shows the favourite fruits of a group of students. Which fruit is the least popular?",
      "answer0": "Banana",
      "answer1": "Grape",
      "answer2": "Strawberry",
      "answer3": "Watermelon",
      "correct_answer": 1,
      "skill_id": 102,
      "difficulty_id": 1,
      "explanation": "Grape has the shortest bar (about 6 students), so it is the least popular.",
      "hints": ["The least popular fruit has the shortest bar.", "Compare the heights of all four bars."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q6",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "upper-middle of page, below the question stem; bar graph titled 'Favourite Fruits' with bars for Banana, Grape, Strawberry, Watermelon",
      "image_options": false,
      "image_file": "q6.png",
      "notes": "Answer key: 2 (Grape) → 0-based index 1. Bar graph: Banana 12, Grape 6, Strawberry 17, Watermelon 23."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "2/3 = [?]/12. What is the missing numerator in the box?",
      "answer0": "8",
      "answer1": "6",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 0,
      "skill_id": 80,
      "difficulty_id": 1,
      "explanation": "Multiply numerator and denominator by 4: 2/3 = (2×4)/(3×4) = 8/12. Missing numerator is 8.",
      "hints": ["3 × 4 = 12, so multiply the numerator by the same factor.", "2 × 4 = 8."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1 (8) → 0-based index 0. Equation rendered inline; figure not required."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Which line is perpendicular to line KL?",
      "answer0": "MN",
      "answer1": "OP",
      "answer2": "QR",
      "answer3": "ST",
      "correct_answer": 3,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "Line ST meets line KL at a right angle, so ST is perpendicular to KL.",
      "hints": ["Perpendicular lines cross at a right angle (90°).", "Look for the line that forms a square corner with KL."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q8",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "middle of page, below the question stem; diagram of lines KL, MN, OP, QR and ST crossing each other with labelled endpoints",
      "image_options": false,
      "image_file": "q8.png",
      "notes": "Answer key: 4 (ST) → 0-based index 3."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Stephanie baked 108 cupcakes for a party. She packed 8 cupcakes in each bag. How many cupcakes were left unpacked?",
      "answer0": "5",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "108 ÷ 8 = 13 remainder 4. So 4 cupcakes were left unpacked.",
      "hints": ["Divide 108 by 8.", "The remainder is the number left unpacked."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 4 (4) → 0-based index 3."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Ali has 3 times as many paper clips as Bella. Ali has 78 more paper clips than Bella. How many paper clips do they have altogether?",
      "answer0": "104",
      "answer1": "156",
      "answer2": "234",
      "answer3": "312",
      "correct_answer": 1,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Ali is 3 units, Bella 1 unit; difference 2 units = 78, so 1 unit = 39. Bella 39, Ali 117. Total = 39 + 117 = 156.",
      "hints": ["The difference of 2 units equals 78.", "Find one unit, then add all 4 units."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q10",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "middle of page, below the question stem; bar model with rows 'Ali' (3 units) and 'Bella' (1 unit) and a bracket marked 78",
      "image_options": false,
      "image_file": "q10.png",
      "notes": "Answer key: 2 (156) → 0-based index 1. Bar model included but solvable from text."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "The circle is made up of equal parts. What fraction of the circle is not shaded?",
      "answer0": "1/3",
      "answer1": "1/2",
      "answer2": "3/5",
      "answer3": "2/3",
      "correct_answer": 0,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "The circle has 9 equal parts; 3 are unshaded, giving 3/9 = 1/3.",
      "hints": ["Count the total equal parts and the unshaded parts.", "Simplify the fraction."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q11",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "upper-middle of page, below the question stem; circle divided into 9 equal sectors, some shaded and some unshaded",
      "image_options": false,
      "image_file": "q11.png",
      "notes": "Answer key: 1 (1/3) → 0-based index 0. Circle has 9 equal parts, 3 unshaded → 3/9 = 1/3."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "Arrange these fractions from the greatest to the smallest.\n1/2 , 5/8 , 3/10 , 5/9",
      "answer0": "5/9 , 5/8 , 1/2 , 3/10",
      "answer1": "3/10 , 1/2 , 5/9 , 5/8",
      "answer2": "1/2 , 3/10 , 5/8 , 5/9",
      "answer3": "5/8 , 5/9 , 1/2 , 3/10",
      "correct_answer": 3,
      "skill_id": 79,
      "difficulty_id": 3,
      "explanation": "As decimals: 1/2=0.50, 5/8=0.625, 3/10=0.30, 5/9≈0.556. Greatest to smallest: 5/8, 5/9, 1/2, 3/10.",
      "hints": ["Convert each fraction to a decimal to compare.", "Order from largest decimal to smallest."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 4 (5/8, 5/9, 1/2, 3/10) → 0-based index 3."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "The rectangle is made up of 5 identical squares. One square has a side of 3 cm. What is the perimeter of the rectangle?",
      "answer0": "30 cm",
      "answer1": "36 cm",
      "answer2": "45 cm",
      "answer3": "48 cm",
      "correct_answer": 1,
      "skill_id": 96,
      "difficulty_id": 2,
      "explanation": "Length = 5 × 3 = 15 cm, width = 3 cm. Perimeter = 2 × (15 + 3) = 36 cm.",
      "hints": ["The long side is 5 squares of 3 cm each.", "Perimeter = 2 × (length + width)."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q13",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "upper-middle of page, below the question stem; a long rectangle divided into 5 equal squares with one square's side marked 3 cm",
      "image_options": false,
      "image_file": "q13.png",
      "notes": "Answer key: 2 (36 cm) → 0-based index 1. The 3 cm label is shown on the figure (one square side)."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "At first, Edwin had 35 more stickers than Gordon. Gordon then gave 16 stickers to Edwin. How many fewer stickers did Gordon have than Edwin in the end?",
      "answer0": "19",
      "answer1": "51",
      "answer2": "67",
      "answer3": "83",
      "correct_answer": 2,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Each transfer of 16 widens the gap by 2 × 16 = 32. New difference = 35 + 32 = 67.",
      "hints": ["When Gordon gives stickers away, the gap grows by twice the amount given.", "35 + (2 × 16) = 67."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 3 (67) → 0-based index 2."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "The capacity of the jar is shown by three measuring beakers. It takes 2 jars full of water to fill up 4 identical empty bottles completely. What is the capacity of each bottle?",
      "answer0": "60 ml",
      "answer1": "120 ml",
      "answer2": "240 ml",
      "answer3": "480 ml",
      "correct_answer": 1,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Jar = 100 + 100 + 40 = 240 ml. 2 jars = 480 ml fill 4 bottles, so each bottle = 480 ÷ 4 = 120 ml.",
      "hints": ["Add the readings of the three beakers to find one jar's capacity.", "2 jars fill 4 bottles, so divide the total by 4."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q15",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "upper-middle of page, below the question stem; a jar with arrow pointing to three ml-marked beakers showing 100 ml, 100 ml and 40 ml",
      "image_options": false,
      "image_file": "q15.png",
      "notes": "Answer key: 2 (120 ml) → 0-based index 1. Beakers read 100 ml, 100 ml, 40 ml (jar = 240 ml)."
    },
    {
      "n": 16,
      "type_id": 1,
      "question": "Write eight thousand, seven hundred and five in number.",
      "answer0": "8705",
      "answer1": "8750",
      "answer2": "8075",
      "answer3": "875",
      "correct_answer": 0,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Eight thousand = 8000, seven hundred = 700, five = 5; with no tens it is 8705.",
      "hints": ["8 thousands, 7 hundreds, 0 tens, 5 ones.", "There are no tens, so place a 0 in the tens column."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 8705. Original is words-to-number; converted to MCQ per word-answer rule (correct option = 8705)."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Find the sum of 6849 and 675.\n[?]",
      "answer0": "7524",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "6849 + 675 = 7524.",
      "hints": ["'Sum' means add the two numbers.", "Line up the digits by place value and add."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7524."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "What is the missing value in the equation?\n$97.25 − $18.60 = [?]",
      "answer0": "$78.65",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "$97.25 − $18.60 = $78.65.",
      "hints": ["Subtract the money amounts in decimal notation.", "Align the decimal points before subtracting."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $78.65."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "There are 9 cookies in a box. How many cookies are there in 6 such boxes?\n[?]",
      "answer0": "54",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "9 × 6 = 54 cookies.",
      "hints": ["Multiply cookies per box by the number of boxes.", "9 × 6."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 54."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Write 7 kg 9 g in grams.\n[?]",
      "answer0": "7009",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "7 kg = 7000 g; 7000 + 9 = 7009 g.",
      "hints": ["1 kg = 1000 g.", "7 kg = 7000 g, then add 9 g."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7009 g. Answer in grams (unit g shown on answer line)."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Express 42/48 in its simplest form.\n[?]",
      "answer0": "7/8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "Divide numerator and denominator by 6: 42 ÷ 6 = 7, 48 ÷ 6 = 8, giving 7/8.",
      "hints": ["Find the greatest common factor of 42 and 48.", "Both divide by 6."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7/8."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "How many of the marked angles inside the figure are acute angles?\n[?]",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Of the marked angles inside the pentagon, 2 are smaller than a right angle (acute).",
      "hints": ["An acute angle is smaller than a right angle (90°).", "Check each marked angle against a square corner."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q22",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "upper-middle of page, below the question stem; an irregular pentagon with several interior angles marked by small arcs",
      "image_options": false,
      "image_file": "q22.png",
      "notes": "Answer key: 2. Figure is a pentagon with marked interior angles."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Five letters are drawn on the square grid. How many of these letters have parallel lines?\n[?]",
      "answer0": "3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "Among the five letters drawn (N, T, W, Z and one more), 3 contain a pair of parallel lines.",
      "hints": ["Parallel lines run in the same direction and never meet.", "Check each letter for two sides that are parallel."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q23",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "middle of page, below the question stem; a wide square grid with five capital letters drawn on it (e.g. N, T, W, Z)",
      "image_options": false,
      "image_file": "q23.png",
      "notes": "Answer key: 3. Letters drawn on a square grid; need the figure to identify which letters."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "What is the missing number in the number pattern?\n570 , 590 , 600 , 620 , 630 , 650 , 660 , 680 , [?]",
      "answer0": "690",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "The pattern adds 20 then 10 alternately: 680 + 10 = 690.",
      "hints": ["Look at the gaps: +20, +10, +20, +10 ...", "After 680 the next step is +10."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 690."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "What is the missing number in the box?\n[?] ÷ 8 = 93 R 4",
      "answer0": "748",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "Number = 93 × 8 + 4 = 744 + 4 = 748.",
      "hints": ["Multiply the quotient by the divisor, then add the remainder.", "93 × 8 = 744, then + 4."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 748."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "The bar graph shows the number of P3 to P5 students who watched a movie last month. How many more P4 girls than P5 girls watched a movie last month?\n[?]",
      "answer0": "50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "P4 girls = 70, P5 girls = 20; 70 − 20 = 50.",
      "hints": ["Read the Girls bar for P4 and for P5.", "Subtract the smaller from the larger."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q26",
      "image_needed": true,
      "image_page": 15,
      "image_loc": "middle of page, below the question stem; horizontal bar graph 'Students who watched a Movie' with Girls/Boys bars for P3, P4, P5 and a legend",
      "image_options": false,
      "image_file": "q26.png",
      "notes": "Answer key: 50. P4 girls 70, P5 girls 20."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "What is the missing fraction in the box?\n1/9 + [?] = 2/3",
      "answer0": "5/9",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "2/3 = 6/9; 6/9 − 1/9 = 5/9.",
      "hints": ["Convert 2/3 to ninths.", "6/9 − 1/9 = 5/9."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 5/9."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "The figure shows a rectangle with sides 6 m and 5 m.\na) Find its area.\nb) Find its perimeter.\nArea = [?] m² ; Perimeter = [?] m",
      "answer0": "30",
      "answer1": "22",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 2,
      "explanation": "Area = 6 × 5 = 30 m². Perimeter = 2 × (6 + 5) = 22 m.",
      "hints": ["Area of a rectangle = length × width.", "Perimeter = 2 × (length + width)."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q28",
      "image_needed": true,
      "image_page": 16,
      "image_loc": "middle of page, below part stem; a rectangle with top side labelled 6 m and right side labelled 5 m",
      "image_options": false,
      "image_file": "q28.png",
      "notes": "Answer key: a) 6×5 = 30 m²; b) (6+5)×2 = 22 m. Two-blank FIB (answer0=area, answer1=perimeter). Dimensions 6 m and 5 m given on the figure."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "The difference between two numbers is 546. The greater number is 7 times as big as the smaller number. What is the greater number?\n[?]",
      "answer0": "637",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Greater = 7 units, smaller = 1 unit; difference 6 units = 546, so 1 unit = 91. Greater = 7 × 91 = 637.",
      "hints": ["The difference is 6 units.", "546 ÷ 6 = 91, then × 7."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q29",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 546 ÷ 6 = 91; 91 × 7 = 637."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "According to his watch, Tom started painting at 15 45. His watch was 20 minutes fast. He took 35 minutes to complete his painting. According to actual time, what time did Tom complete his painting?\n[?]",
      "answer0": "16 00",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 3,
      "explanation": "Actual start = 15 45 − 20 min = 15 25. Finish = 15 25 + 35 min = 16 00.",
      "hints": ["First correct the start time: the watch is 20 min fast, so subtract 20 min.", "Then add the 35 minutes taken."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q30",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1545 − 20 = 1525; 1525 + 35 = 1600 (4 p.m.)."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "Mrs Lee bought a blouse for $41.65. She also bought a pair of shoes for $33.80. She gave the cashier a $100 note. How much change did she receive?\n[?]",
      "answer0": "$24.55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Total spent = $41.65 + $33.80 = $75.45. Change = $100 − $75.45 = $24.55.",
      "hints": ["Add the two prices first.", "Subtract the total from $100."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $41.65 + $33.80 = $75.45; $100 − $75.45 = $24.55."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Mrs Lim had a jug of fruit punch at first. After pouring the fruit punch equally into 8 glasses, she had 250 ml of fruit punch left in the jug. Each glass contained 350 ml of fruit punch. How much fruit punch was there in the jug at first? Give your answer in litres and millilitres.\n[?] l [?] ml",
      "answer0": "3",
      "answer1": "50",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "8 glasses × 350 ml = 2800 ml; + 250 ml left = 3050 ml = 3 l 50 ml.",
      "hints": ["Find the amount poured into the 8 glasses, then add the leftover.", "3050 ml = 3 l 50 ml."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 350 × 8 = 2800 ml; 2800 + 250 = 3050 ml = 3 l 50 ml. Two-blank FIB (litres, millilitres)."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Mrs Tan took 1 h 40 min to make a pizza. Miss Ong took 30 min more than Mrs Tan to bake a cake.\na) How much time did Miss Ong take to bake the cake? Give your answer in hours and minutes.\nb) Miss Ong started baking the cake at 11.10 am. What time did she finish baking the cake?\n[?] h [?] min ; finish time [?]",
      "answer0": "2",
      "answer1": "10",
      "answer2": "1.20 pm",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 3,
      "explanation": "a) 1 h 40 min + 30 min = 2 h 10 min. b) 11.10 am + 2 h 10 min = 1.20 pm.",
      "hints": ["a) Add 30 min to 1 h 40 min.", "b) Add 2 h 10 min to 11.10 am."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q33",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 1h40min + 30min = 2h10min; b) 1.20 pm. Three blanks (hours, minutes, finish time)."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "Figures W, X, Y and Z are drawn on the square grid. Each small square has a side of 1 cm.\na) Which two figures have the same area?\nb) What is the area of Figure Y?\nc) What is the perimeter of Figure X?\nSame-area pair: [?] and [?] ; area of Y = [?] cm² ; perimeter of X = [?] cm",
      "answer0": "W",
      "answer1": "Z",
      "answer2": "6",
      "answer3": "14",
      "correct_answer": null,
      "skill_id": 95,
      "difficulty_id": 3,
      "explanation": "a) Figures W and Z have equal areas. b) Figure Y covers 6 cm². c) The perimeter of Figure X is 14 cm.",
      "hints": ["Count the full and half unit squares each figure covers.", "For perimeter, count the unit edges around the figure."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q34",
      "image_needed": true,
      "image_page": 21,
      "image_loc": "upper-middle of page, below the question stem; a square grid (1 cm cells) with four figures labelled W, X, Y and Z drawn on it",
      "image_options": false,
      "image_file": "q34.png",
      "notes": "Answer key: a) Figures W and Z; b) 6 cm²; c) 14 cm. Four-blank FIB (two figure letters, area, perimeter)."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "Adeline collected 4 times as many stickers as Kathy. They collected 120 stickers altogether.\na) How many stickers did Kathy collect?\nb) Adeline and Kathy decided to pack the 120 stickers equally into packets of 9 to give to their friends. How many stickers were left unpacked?\nKathy = [?] ; left unpacked = [?]",
      "answer0": "24",
      "answer1": "3",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "a) Total = 5 units = 120, so Kathy (1 unit) = 120 ÷ 5 = 24. b) 120 ÷ 9 = 13 R 3, so 3 left unpacked.",
      "hints": ["a) Adeline + Kathy = 5 units altogether.", "b) Divide 120 by 9 and look at the remainder."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 120 ÷ 5 = 24; b) 120 ÷ 9 = 13 R 3, answer 3. Two-blank FIB."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Some teachers and students from Ubi Primary School attended a concert. There were 98 more students than teachers. The number of male teachers was the same as the number of male students. There were 26 male students and 15 female teachers.\na) How many more male teachers than female teachers were there?\nb) How many students were there?\nMale teachers more than female teachers = [?] ; number of students = [?]",
      "answer0": "11",
      "answer1": "139",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Male teachers = male students = 26. a) 26 − 15 = 11 more male than female teachers. b) Teachers = 26 + 15 = 41; students = 41 + 98 = 139.",
      "hints": ["a) Male teachers = male students = 26; subtract the female teachers.", "b) Find the total teachers first, then add 98."],
      "source": "Maha Bodhi 2023 P3 End of Year Exam Q36",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 26 − 15 = 11; b) teachers 26 + 15 = 41, students 41 + 98 = 139. Two-blank FIB."
    }
  ]
}