{
  "paper": {
    "school": "St Joseph",
    "year": 2023,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "St Joseph 2023 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which one of the following numbers has the digit 7 in the hundreds place?",
      "answer0": "2857",
      "answer1": "4719",
      "answer2": "5073",
      "answer3": "7205",
      "correct_answer": 1,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 4719, the digit 7 is in the hundreds place (4 thousands, 7 hundreds, 1 ten, 9 ones).",
      "hints": ["The hundreds place is the third digit from the right.", "Read each number place by place."],
      "source": "St Joseph 2023 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2) = 4719 → 0-based index 1."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the sum of 35 tens and 78 hundreds.",
      "answer0": "113",
      "answer1": "1130",
      "answer2": "7835",
      "answer3": "8150",
      "correct_answer": 3,
      "skill_id": 66,
      "difficulty_id": 2,
      "explanation": "35 tens = 350; 78 hundreds = 7800; 350 + 7800 = 8150.",
      "hints": ["35 tens = 35 x 10.", "78 hundreds = 78 x 100."],
      "source": "St Joseph 2023 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 8150 → index 3."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Find the sum of the digits represented by A and B below.",
      "answer0": "10",
      "answer1": "9",
      "answer2": "6",
      "answer3": "4",
      "correct_answer": 1,
      "skill_id": 70,
      "difficulty_id": 3,
      "explanation": "4052 - 261A = 14B6. Ones: 2 - A = 6 needs borrow: 12 - A = 6, A = 6. Tens: borrowed 4-1=... working back, B = 3. A + B = 6 + 3 = 9.",
      "hints": ["Work the subtraction column by column, handling borrowing.", "Find A from the ones column, then B."],
      "source": "St Joseph 2023 P3 End of Year Exam Q3",
      "image_needed": true,
      "image_page": 3,
      "image_loc": "middle of page, below the question — the vertical subtraction sum 4052 - 261A = 14B6",
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2) = 9 → index 1. Figure is the column subtraction layout with A and B blanks."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Find the product of 139 and 7.",
      "answer0": "132",
      "answer1": "146",
      "answer2": "773",
      "answer3": "973",
      "correct_answer": 3,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "139 x 7 = 973.",
      "hints": ["Product means multiply.", "139 x 7."],
      "source": "St Joseph 2023 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 973 → index 3."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "There were 16 boys and 26 girls in a class. Each pupil was given 8 erasers. How many erasers were given out altogether?",
      "answer0": "128",
      "answer1": "208",
      "answer2": "326",
      "answer3": "336",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Total pupils = 16 + 26 = 42; 42 x 8 = 336 erasers.",
      "hints": ["First add the boys and girls.", "Then multiply the total by 8."],
      "source": "St Joseph 2023 P3 End of Year Exam Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 336 → index 3."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Mrs Wong had 148 pencils. She packed them equally into 6 boxes. How many pencils were left unpacked?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "148 / 6 = 24 remainder 4. So 4 pencils were left unpacked.",
      "hints": ["Divide 148 by 6.", "The remainder is the number left unpacked."],
      "source": "St Joseph 2023 P3 End of Year Exam Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 4 → index 3."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "How many acute angles are there in the figure?",
      "answer0": "7",
      "answer1": "6",
      "answer2": "5",
      "answer3": "4",
      "correct_answer": 1,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Counting the acute (smaller than a right angle) angles in the zig-zag arrow figure gives 6.",
      "hints": ["An acute angle is smaller than a right angle.", "Check each vertex of the figure."],
      "source": "St Joseph 2023 P3 End of Year Exam Q7",
      "image_needed": true,
      "image_page": 4,
      "image_loc": "lower middle of page, below the question — a jagged zig-zag arrow / lightning-bolt outline figure",
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2) = 6 → index 1. Count-to-verify against figure; answer is 6 acute angles."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Janet had 3 twenty-cent coins and 5 fifty-cent coins. She donated some of the coins. How much money could she possibly have donated?",
      "answer0": "$0.80",
      "answer1": "$1.80",
      "answer2": "$2.70",
      "answer3": "$3.00",
      "correct_answer": 2,
      "skill_id": 82,
      "difficulty_id": 3,
      "explanation": "Coins are 20c and 50c. $2.70 = 1 twenty-cent + 5 fifty-cent (20c + 250c = 270c). $3.00 needs more than she has (max = 60c + 250c = 310c, but cannot make exactly 300c with these coins), $0.80 and $1.80 cannot be formed exactly; $2.70 is achievable.",
      "hints": ["She has 3 x 20c and 5 x 50c coins.", "Check which amount can be made exactly from these coins."],
      "source": "St Joseph 2023 P3 End of Year Exam Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = $2.70 → index 2."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "A bottle contains 1 l 80 ml of water. If the capacity of the bottle is 2 l, how much more water is needed to fill the bottle?",
      "answer0": "20 ml",
      "answer1": "200 ml",
      "answer2": "920 ml",
      "answer3": "1920 ml",
      "correct_answer": 2,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "2 l = 2000 ml; 1 l 80 ml = 1080 ml; 2000 - 1080 = 920 ml.",
      "hints": ["Convert litres to millilitres.", "Subtract the water already in the bottle from its capacity."],
      "source": "St Joseph 2023 P3 End of Year Exam Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = 920 ml → index 2."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Which one of the following fractions is the smallest?",
      "answer0": "3/10",
      "answer1": "1/2",
      "answer2": "2/3",
      "answer3": "2/5",
      "correct_answer": 0,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Comparing 3/10, 1/2, 2/3, 2/5: 3/10 = 0.3, 1/2 = 0.5, 2/3 ≈ 0.67, 2/5 = 0.4. Smallest is 3/10.",
      "hints": ["Convert each fraction to a decimal or common denominator.", "The smallest value is the answer."],
      "source": "St Joseph 2023 P3 End of Year Exam Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (1) = 3/10 → index 0."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "A movie started at 18 30. It lasted 115 minutes. What time did the movie end?",
      "answer0": "08 25",
      "answer1": "19 30",
      "answer2": "20 00",
      "answer3": "20 25",
      "correct_answer": 3,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "115 min = 1 h 55 min. 18 30 + 1 h = 19 30; 19 30 + 55 min = 20 25.",
      "hints": ["Convert 115 minutes to hours and minutes.", "Add the duration to the start time."],
      "source": "St Joseph 2023 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 20 25 → index 3."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "The figure is made up of identical squares. How many more squares must be shaded so that 4/5 of the figure is shaded?",
      "answer0": "8",
      "answer1": "5",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 80,
      "difficulty_id": 3,
      "explanation": "Figure has 10 squares; 4/5 of 10 = 8 squares must be shaded. Currently 5 are shaded, so 8 - 5 = 3 more.",
      "hints": ["Count the total squares and find 4/5 of them.", "Subtract the squares already shaded."],
      "source": "St Joseph 2023 P3 End of Year Exam Q12",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "below the question — a 5-by-2 grid of identical squares with some squares shaded (5 shaded of 10)",
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = 3 → index 2. Figure: 2 rows x 5 columns, 5 squares shaded."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "James had 3 times as many erasers as Max at first. After James had given 18 erasers to Max, Max had 44 erasers. How many erasers did James have at first?",
      "answer0": "26",
      "answer1": "62",
      "answer2": "78",
      "answer3": "104",
      "correct_answer": 2,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "After receiving 18, Max had 44, so Max had 44 - 18 = 26 at first. James had 3 x 26 = 78 at first.",
      "hints": ["Find how many Max had at first by removing the 18 he received.", "James had 3 times Max's first amount."],
      "source": "St Joseph 2023 P3 End of Year Exam Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = 78 → index 2."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "The figure is made up of two identical squares. What is the total area of the figure?",
      "answer0": "42 cm2",
      "answer1": "49 cm2",
      "answer2": "56 cm2",
      "answer3": "98 cm2",
      "correct_answer": 3,
      "skill_id": 97,
      "difficulty_id": 2,
      "explanation": "Each square has side 7 cm, area 7 x 7 = 49 cm2. Two squares: 49 x 2 = 98 cm2.",
      "hints": ["The side of each square is 7 cm.", "Find the area of one square, then double it."],
      "source": "St Joseph 2023 P3 End of Year Exam Q14",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "below the question — two identical squares side by side forming a rectangle, with 7 cm labelling the height",
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 98 cm2 → index 3. Side of square = 7 cm (height label)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Mr Tan wants to use the rectangular plot of land as a garden. He wants to build a fence around his garden leaving a 2 m gap for a metal swing gate. The cost of the fencing is $9 per metre. How much must he pay to fence his garden?",
      "answer0": "$216",
      "answer1": "$288",
      "answer2": "$558",
      "answer3": "$576",
      "correct_answer": 2,
      "skill_id": 96,
      "difficulty_id": 3,
      "explanation": "Perimeter = 2 x (24 + 8) = 64 m. Subtract 2 m gate gap: 64 - 2 = 62 m. Cost = 62 x $9 = $558.",
      "hints": ["Find the perimeter of the rectangle (24 m by 8 m).", "Subtract the 2 m gap, then multiply by $9."],
      "source": "St Joseph 2023 P3 End of Year Exam Q15",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "middle of page, below the question — a rectangle labelled 24 m (length) and 8 m (width) with a 2 m gap marked on the top edge",
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = $558 → index 2. Rectangle 24 m by 8 m, 2 m gate gap."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Which digit in the two numbers given has the same value? 2856 and 6825",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 66,
      "difficulty_id": 2,
      "explanation": "In 2856 the digit 8 is in the hundreds place (value 800). In 6825 the digit 8 is in the hundreds place (value 800). The digit 8 has the same value in both.",
      "hints": ["Compare the place value of each digit in both numbers.", "Look for a digit with the same place value in both."],
      "source": "St Joseph 2023 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q16 = 8. The two numbers (2856, 6825) appear in ovals in the figure but are reproduced in the stem text."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Find the difference between 6483 and 259. [?]",
      "answer0": "6224",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "6483 - 259 = 6224.",
      "hints": ["Difference means subtract.", "6483 - 259."],
      "source": "St Joseph 2023 P3 End of Year Exam Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q17 = 6483 - 259 = 6224."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "1432 more than 7768 is [?].",
      "answer0": "9200",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "7768 + 1432 = 9200.",
      "hints": ["'More than' means add.", "7768 + 1432."],
      "source": "St Joseph 2023 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q18 = 7768 + 1432 = 9200."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Arrange the following fractions in order. Begin with the greatest. 1/3, 5/6, 5/12 [?], [?], [?]",
      "answer0": "5/6",
      "answer1": "5/12",
      "answer2": "1/3",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Common denominator 12: 1/3 = 4/12, 5/6 = 10/12, 5/12 = 5/12. Greatest to smallest: 10/12, 5/12, 4/12 → 5/6, 5/12, 1/3.",
      "hints": ["Convert all fractions to twelfths.", "Order from largest numerator to smallest."],
      "source": "St Joseph 2023 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering task → FIB with 3 blanks, greatest first. Key Q19 = 5/6, 5/12, 1/3."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Gary went jogging from 6:20 a.m. to 7:15 a.m. How long did he jog? [?] min",
      "answer0": "55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 1,
      "explanation": "From 6:20 a.m. to 7:15 a.m. is 55 minutes (6:20 to 7:20 is 60 min, minus 5 min = 55 min).",
      "hints": ["Count forward from 6:20 to 7:15.", "Answer in minutes."],
      "source": "St Joseph 2023 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q20 = 55 min. Answer given in minutes per the printed unit."
    },
    {
      "n": 21,
      "type_id": 0,
      "question": "Mark the right angles inside the figure.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "The student marks each interior right angle of the given irregular polygon figure.",
      "hints": ["A right angle is a square corner (90 degrees).", "Check each interior vertex of the figure."],
      "source": "St Joseph 2023 P3 End of Year Exam Q21",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "middle of page, below the question — an irregular arrow-like polygon outline",
      "image_options": false,
      "image_file": null,
      "notes": "Interactive 'mark the right angles' task — no value answer. type_id 0, skipped on insert. Key Q21 = mark right angles on the figure (no numeric answer)."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "Jamie and Angel had a total of 135 hairclips. If Angel were to give Jamie 16 hairclips, Jamie would have 4 times as many hairclips as Angel. How many hairclips did Angel have? [?]",
      "answer0": "43",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Total stays 135. After transfer: 5 units = 135, 1 unit = 27 (Angel after giving). Angel originally = 27 + 16 = 43.",
      "hints": ["The total of 135 does not change.", "After the transfer, Angel = 1 unit, Jamie = 4 units; find 1 unit then add back the 16."],
      "source": "St Joseph 2023 P3 End of Year Exam Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q22: 5u = 135, 1u = 27, 27 + 16 = 43."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Mrs Tan is 5 times as old as her son, Bryan, who is 9 years old now. How old will Mrs Tan be in 10 years' time? [?]",
      "answer0": "55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "Mrs Tan now = 5 x 9 = 45 years old. In 10 years: 45 + 10 = 55 years old.",
      "hints": ["Find Mrs Tan's current age (5 times Bryan's).", "Add 10 years."],
      "source": "St Joseph 2023 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q23: 5 x 9 = 45, 45 + 10 = 55 years old."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Keith had some sweets. He gave 24 of his sweets to his brother and bought another 12 sweets. In the end, Keith had 88 sweets altogether. How many sweets did he have at first? [?]",
      "answer0": "100",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Work backwards: 88 - 12 = 76 (before buying); 76 + 24 = 100 (before giving away).",
      "hints": ["Work backwards from 88.", "Undo the buying (subtract 12), then undo the giving (add 24)."],
      "source": "St Joseph 2023 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q24: 88 - 12 = 76, 76 + 24 = 100."
    },
    {
      "n": 25,
      "type_id": 1,
      "question": "One of the lines in the figure is parallel to CD. Name the line.",
      "answer0": "AB",
      "answer1": "BE",
      "answer2": "EF",
      "answer3": "FD",
      "correct_answer": 1,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "In the figure, line BE is parallel to CD.",
      "hints": ["Parallel lines never meet and run in the same direction.", "Compare each labelled line with CD."],
      "source": "St Joseph 2023 P3 End of Year Exam Q25",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "upper middle of page, below the question — a figure with points A, B, C across the top and F, E, D across the bottom, with diagonal lines drawn",
      "image_options": false,
      "image_file": null,
      "notes": "Word/letter answer → converted to MCQ with line-name options. Key Q25 = BE → index 1. Distractors are other line names in the figure."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "Peter and Michael started jogging from the same point but in opposite directions. When they stopped jogging at the same time, Peter had jogged 4 times the distance Michael had jogged. Michael jogged 546 m less than Peter. How far apart were they when they stopped jogging? [?] m",
      "answer0": "910",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Peter = 4u, Michael = 1u. Difference 4u - 1u = 3u = 546, so 1u = 182. Total apart = 5u = 5 x 182 = 910 m.",
      "hints": ["Let Michael = 1 unit, Peter = 4 units; the difference is 3 units = 546 m.", "They jogged in opposite directions, so add both distances (5 units)."],
      "source": "St Joseph 2023 P3 End of Year Exam Q26",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "middle of page, below the question — two runner cartoon figures labelled Peter and Michael on a horizontal line marked Start",
      "image_options": false,
      "image_file": null,
      "notes": "Key Q26: 3u = 546, 1u = 182, 5u = 910 m. Figure is decorative (runners on a start line)."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "A mango cost $5. A basket of 4 mangoes cost $18. Alicia bought 10 mangoes altogether. What was the least amount of money that she paid for the mangoes? Ans : $ [?]",
      "answer0": "46",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "Cheapest is to buy baskets of 4. 2 baskets = 8 mangoes = $18 x 2 = $36; remaining 2 mangoes at $5 each = $10. Total = $36 + $10 = $46.",
      "hints": ["A basket of 4 is cheaper per mango than buying singly.", "Buy as many baskets as possible, then single mangoes for the rest."],
      "source": "St Joseph 2023 P3 End of Year Exam Q27",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "upper left, below the question — a drawing of a basket of mangoes labelled '4 mangoes at $18'",
      "image_options": false,
      "image_file": null,
      "notes": "Key Q27: 18 x 2 = 36, 2 single = 10, total $46. Answer is the value following the printed '$' sign."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "Ethan has 40 more marbles than Dylan. How many marbles must Ethan give to Dylan so that he will have 8 more marbles than Dylan? [?]",
      "answer0": "16",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "The gap must shrink from 40 to 8, a reduction of 32. Each marble Ethan gives reduces the gap by 2, so he gives 32 / 2 = 16 marbles.",
      "hints": ["Each marble transferred changes the difference by 2.", "The gap needs to go from 40 to 8 (a change of 32)."],
      "source": "St Joseph 2023 P3 End of Year Exam Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q28: 32 / 2 = 16."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "Simon had 50 more stickers than Mark. After Simon had given 88 stickers to Mark, he was left with 120 stickers. How many stickers did Mark have at first? [?]",
      "answer0": "158",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Simon at first = 120 + 88 = 208. Mark had 50 fewer than Simon at first: 208 - 50 = 158.",
      "hints": ["Find Simon's original amount by adding back the 88 he gave away.", "Mark had 50 fewer than Simon at first."],
      "source": "St Joseph 2023 P3 End of Year Exam Q29",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q29: 120 + 88 = 208, 208 - 50 = 158."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "The square is cut into 4 equal parts. What is the area of the shaded part? Ans : [?] cm2",
      "answer0": "16",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 2,
      "explanation": "Square area = 8 x 8 = 64 cm2. Cut into 4 equal parts: 64 / 4 = 16 cm2 per part. The shaded part is one quarter = 16 cm2.",
      "hints": ["Find the area of the whole square first (8 cm side).", "Divide by 4 for one equal part."],
      "source": "St Joseph 2023 P3 End of Year Exam Q30",
      "image_needed": true,
      "image_page": 13,
      "image_loc": "upper left, below the question — a square with both diagonals drawn forming 4 triangles, the bottom triangle shaded, side labelled 8 cm",
      "image_options": false,
      "image_file": null,
      "notes": "Key Q30: 8 x 8 = 64, 64 / 4 = 16 cm2. Answer is the value before the printed cm2 unit."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "Each square has a mass of 450 g. What is the mass of each circle? Express your answer in kg and g. Ans : [?] kg [?] g",
      "answer0": "1",
      "answer1": "350",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 3,
      "explanation": "From the balances: 4 squares = 2 circles (1800 g = 2 circles), so 1 circle = 900 g... per the key: 450 x 4 = 1800, 1800 + 900 = 2700, 2700 / 2 = 1350 g = 1 kg 350 g.",
      "hints": ["Use the balance scales to relate squares and circles.", "Convert the final mass in grams to kg and g."],
      "source": "St Joseph 2023 P3 End of Year Exam Q31",
      "image_needed": true,
      "image_page": 13,
      "image_loc": "left side, below the question — two balance-scale diagrams comparing groups of squares, triangles and circles; small square and circle icons also appear inline in the question text",
      "image_options": false,
      "image_file": null,
      "notes": "Key Q31: 450 x 4 = 1800, 1800 + 900 = 2700, 2700 / 2 = 1350 → answer 1 kg 350 g. Two blanks (kg, g)."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "There were 100 Primary 3 pupils in a school. The pupils were allowed to choose only one co-curricular activity (CCA). The graph shows the CCAs that the pupils had chosen. Some pupils were absent and did not get to choose a CCA. How many pupils did not choose a CCA? [?]",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph: Floorball 18, Badminton 26, Soccer 32, Rugby 16. Total chosen = 18 + 26 + 32 + 16 = 92. Pupils who did not choose = 100 - 92 = 8.",
      "hints": ["Add up the number of pupils in all four CCAs from the graph.", "Subtract from the total of 100 pupils."],
      "source": "St Joseph 2023 P3 End of Year Exam Q32",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "upper middle of page, above the question — a bar graph titled 'Pupils' Co-curricular Activities' with bars for Floorball, Badminton, Soccer, Rugby",
      "image_options": false,
      "image_file": null,
      "notes": "Key Q32: 32 + 26 = 58, +18 = 76, +16 = 92, 100 - 92 = 8. Bar values: Floorball 18, Badminton 26, Soccer 32, Rugby 16."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "There were 100 Primary 3 pupils in a school. The pupils were allowed to choose only one co-curricular activity (CCA). The graph shows the CCAs that the pupils had chosen. (a) The absentees returned the next day and all of them chose soccer as their CCA. What is the number of pupils who had chosen soccer in the end? (b) Some pupils switched from floorball to badminton. The number of pupils in badminton increased to 30. What would be the number of pupils in floorball in the end? Ans : a) [?] b) [?]",
      "answer0": "40",
      "answer1": "14",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "(a) Soccer 32 + 8 absentees = 40. (b) Badminton went from 26 to 30, an increase of 4, all from floorball: 18 - 4 = 14.",
      "hints": ["Use the answer from Q32 (8 absentees) for part (a).", "For (b), the increase in badminton came out of floorball."],
      "source": "St Joseph 2023 P3 End of Year Exam Q33",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "upper middle of page (shared with Q32) — bar graph titled 'Pupils' Co-curricular Activities'",
      "image_options": false,
      "image_file": null,
      "notes": "Key Q33: a) 32 + 8 = 40; b) 30 - 26 = 4, 18 - 4 = 14. Two blanks (a, b). Uses same bar graph as Q32."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "A baker baked 286 cupcakes in the morning. He then baked another 365 cupcakes in the afternoon. The baker sold 483 cupcakes that day. (a) How many cupcakes did the baker bake in all? (b) How many cupcakes were left at the end of the day? Ans: (a) [?] (b) [?]",
      "answer0": "651",
      "answer1": "168",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "(a) 286 + 365 = 651 cupcakes baked. (b) 651 - 483 = 168 cupcakes left.",
      "hints": ["Add the morning and afternoon batches for part (a).", "Subtract the cupcakes sold for part (b)."],
      "source": "St Joseph 2023 P3 End of Year Exam Q34",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q34: a) 365 + 286 = 651; b) 651 - 483 = 168. Two blanks (a, b)."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "A tank, containing 1850 ml of water at first, has a capacity of 4 l. After some water was poured into the tank, another 860 ml of water is needed to fill it up completely. How much water was poured into the tank? Give your answer in litres and millilitres. Ans: [?] l [?] ml",
      "answer0": "1",
      "answer1": "290",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "4 l = 4000 ml. When 860 ml more is needed, tank holds 4000 - 860 = 3140 ml. Water poured in = 3140 - 1850 = 1290 ml = 1 l 290 ml.",
      "hints": ["Find how much water was in the tank when 860 ml more was needed (4000 - 860).", "Subtract the original 1850 ml, then convert to l and ml."],
      "source": "St Joseph 2023 P3 End of Year Exam Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q35: 4000 - 860 = 3140, 3140 - 1850 = 1290 → 1 l 290 ml. Two blanks (l, ml)."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Ethan spent 1/3 of his money on food. He spent 1/6 of it on magazines and 1/4 of it on shoes. What fraction of his money was left? Express your answer in its simplest form. Ans: [?]",
      "answer0": "1/4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 3,
      "explanation": "Common denominator 12: 1/3 = 4/12, 1/6 = 2/12, 1/4 = 3/12. Spent = 4/12 + 2/12 + 3/12 = 9/12. Left = 12/12 - 9/12 = 3/12 = 1/4.",
      "hints": ["Convert all three fractions to twelfths and add.", "Subtract the total spent from 1 whole, then simplify."],
      "source": "St Joseph 2023 P3 End of Year Exam Q36",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q36: 4/12 + 2/12 + 3/12 = 9/12, 12/12 - 9/12 = 3/12 = 1/4."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "Michelle worked for 6 days in a week. She worked from 09 00 to 18 00 every day. (a) How many hours did she work every day? (b) How many hours did she work in 4 weeks? Ans: (a) [?] (b) [?]",
      "answer0": "9",
      "answer1": "216",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 2,
      "explanation": "(a) 09 00 to 18 00 = 9 hours per day. (b) Per week: 9 x 6 = 54 hours; in 4 weeks: 54 x 4 = 216 hours.",
      "hints": ["Find the daily working duration from 09 00 to 18 00.", "Multiply by 6 days, then by 4 weeks."],
      "source": "St Joseph 2023 P3 End of Year Exam Q37",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q37: a) 0900 to 1800 = 9h; b) 9 x 6 = 54, 54 x 4 = 216 hours. Two blanks (a, b)."
    },
    {
      "n": 38,
      "type_id": 2,
      "question": "Shop A sold 487 more marbles than Shop B. Shop C sold 243 more marbles than Shop B. The three shops sold a total of 1000 marbles. (a) How many marbles did Shop A sell? (b) How many more marbles did Shop A sell than Shop C? Ans: (a) [?] (b) [?]",
      "answer0": "577",
      "answer1": "244",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Total = 3 units (Shop B) + 487 + 243 = 1000, so 3 units = 1000 - 730 = 270, 1 unit (Shop B) = 90. Shop A = 90 + 487 = 577. Shop C = 90 + 243 = 333. (b) 577 - 333 = 244.",
      "hints": ["Let Shop B = 1 unit; A = B + 487, C = B + 243; their sum is 1000.", "Find Shop B first, then A and C."],
      "source": "St Joseph 2023 P3 End of Year Exam Q38",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q38: 1000 - 487 - 243 = 270 = 3u, 1u = 90; a) 90 + 487 = 577; b) 577 - 333 = 244. Two blanks (a, b)."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "Thaddeus, Ivan and Ryan had a total of 381 coins. Ivan had twice as many coins as Ryan and Thaddeus had 56 more coins than Ivan. (a) How many coins did Thaddeus have? (b) If Ryan's mother gave Ryan another 100 coins, how many coins would Ryan have now? Ans: (a) [?] (b) [?]",
      "answer0": "186",
      "answer1": "165",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Ryan = 1 unit, Ivan = 2 units, Thaddeus = 2 units + 56. Total = 5 units + 56 = 381, so 5 units = 325, 1 unit = 65. (a) Thaddeus = 2 x 65 + 56 = 186. (b) Ryan = 65 + 100 = 165.",
      "hints": ["Let Ryan = 1 unit, Ivan = 2 units, Thaddeus = 2 units + 56.", "Sum to 381 to find one unit (Ryan)."],
      "source": "St Joseph 2023 P3 End of Year Exam Q39",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key Q39: 5u + 56 = 381, 5u = 325, 1u = 65; a) (65 x 2) + 56 = 186; b) 65 + 100 = 165. Two blanks (a, b)."
    }
  ]
}