{
  "paper": {
    "school": "Catholic High",
    "year": 2024,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Catholic High 2024 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Express 6 ℓ 8 mℓ in mℓ.",
      "answer0": "608 mℓ",
      "answer1": "680 mℓ",
      "answer2": "6008 mℓ",
      "answer3": "6800 mℓ",
      "correct_answer": 2,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "6 ℓ = 6000 mℓ. 6000 mℓ + 8 mℓ = 6008 mℓ.",
      "hints": ["1 litre = 1000 millilitres.", "Convert the litres to ml first, then add the extra ml."],
      "source": "Catholic High 2024 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (0-based index 2)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the product of 322 and 7.",
      "answer0": "44",
      "answer1": "46",
      "answer2": "2144",
      "answer3": "2254",
      "correct_answer": 3,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "322 × 7 = 2254.",
      "hints": ["\"Product\" means multiply.", "Multiply 322 by 7."],
      "source": "Catholic High 2024 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (0-based index 3)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "3 groups of _______ = 4 x 9",
      "answer0": "1",
      "answer1": "12",
      "answer2": "3",
      "answer3": "36",
      "correct_answer": 1,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "4 × 9 = 36. 3 groups of ? = 36, so ? = 36 ÷ 3 = 12.",
      "hints": ["Work out 4 × 9 first.", "Then divide that total by 3."],
      "source": "Catholic High 2024 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (0-based index 1)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which one of the following fractions is greater than 1/2?",
      "answer0": "4/7",
      "answer1": "5/10",
      "answer2": "3/7",
      "answer3": "2/5",
      "correct_answer": 0,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Half of 7 is 3.5, so 4/7 > 1/2. 5/10 = 1/2 exactly; 3/7 and 2/5 are less than 1/2.",
      "hints": ["A fraction is greater than 1/2 when the numerator is more than half the denominator.", "Compare each numerator with half of its denominator."],
      "source": "Catholic High 2024 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (0-based index 0)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Figures A, B, C and D are made up of 1-cm squares. Which two figures have the same perimeter?",
      "answer0": "A and B",
      "answer1": "B and C",
      "answer2": "C and D",
      "answer3": "D and A",
      "correct_answer": 1,
      "skill_id": 96,
      "difficulty_id": 2,
      "explanation": "Counting the unit edges around each figure, B (plus/cross shape) and C have the same perimeter.",
      "hints": ["Count the number of 1-cm edges along the outline of each figure.", "Two figures with equal area can still differ in perimeter — count carefully."],
      "source": "Catholic High 2024 P3 End of Year Exam Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 4,
      "image_loc": "middle of page, below the question — grid showing shaded figures A, B, C and D on a 1-cm square grid",
      "notes": "Key: option 2 (0-based index 1), B and C."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Mabel had these coins in her coin pouch. She took out 3 coins from her pouch and counted them. Which of the following amounts could not be taken out from her pouch?",
      "answer0": "$0.45",
      "answer1": "$0.75",
      "answer2": "$0.85",
      "answer3": "$1.15",
      "correct_answer": 2,
      "skill_id": 82,
      "difficulty_id": 3,
      "explanation": "Coins: 20c, 20c, 50c, $1, 5c, 5c, 10c. $0.45 = 20+20+5. $0.75 = 50+20+5. $1.15 = $1+10+5. $0.85 cannot be made from any 3 of these coins.",
      "hints": ["The pouch holds: 20c, 20c, 50c, $1, 5c, 5c, 10c.", "Try to form each amount using exactly three of the available coins."],
      "source": "Catholic High 2024 P3 End of Year Exam Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 5,
      "image_loc": "top of page, above the question text — photos of seven Singapore coins (two 20c, one 50c, one $1, two 5c, one 10c)",
      "notes": "Key: option 3 (0-based index 2). Coin set is essential to solve."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Write seven thousand and forty-nine in numerals.",
      "answer0": "7049",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Seven thousand and forty-nine = 7049.",
      "hints": ["Thousands digit is 7.", "Forty-nine fills the tens and ones; there are no hundreds."],
      "source": "Catholic High 2024 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 7049."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Name a line perpendicular to CD.",
      "answer0": "DE",
      "answer1": "AB",
      "answer2": "EF",
      "answer3": "BF",
      "correct_answer": 0,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "On the grid, line DE meets CD at a right angle, so DE is perpendicular to CD.",
      "hints": ["Perpendicular lines meet at a right angle (90°).", "Look at which line forms a square corner with CD."],
      "source": "Catholic High 2024 P3 End of Year Exam Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 6,
      "image_loc": "middle of page, below the question — square-grid figure with points A, B, C, D, E, F joined by line segments",
      "notes": "Word/letter answer made MCQ per spec. Key: DE (0-based index 0). Distractors AB, EF, BF are other segments in the figure."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "What is the mass of the bag of potatoes on the weighing scale? Express your answer in kg and g.",
      "answer0": "2",
      "answer1": "700",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "The pointer on the 4 kg dial reads 2 kg 700 g.",
      "hints": ["Read where the needle points on the kg dial.", "Each small mark between numbered kg is 100 g."],
      "source": "Catholic High 2024 P3 End of Year Exam Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 7,
      "image_loc": "middle of page, below the question — a bag of potatoes on a round 4 kg weighing scale",
      "notes": "Key: 2 kg 700 g. Two blanks: kg then g. Scale image required to read."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Peter completed his homework in the afternoon at the time shown on the clock. What time did Peter complete his homework? Give your answer in 24-hour clock.",
      "answer0": "1357",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 134,
      "difficulty_id": 2,
      "explanation": "The clock shows 1:57. In the afternoon that is 13 57 in 24-hour clock.",
      "hints": ["Afternoon times add 12 hours to the hour.", "Write four digits with no symbols for 24-hour clock."],
      "source": "Catholic High 2024 P3 End of Year Exam Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 7,
      "image_loc": "lower half of page, below the question — round analogue clock face",
      "notes": "Key: 1357. Clock image required to read the time."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "$[?] − $25.18 = $74.90",
      "answer0": "100.08",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "$74.90 + $25.18 = $100.08.",
      "hints": ["To find the missing first number, add the two amounts on the other side.", "$74.90 + $25.18."],
      "source": "Catholic High 2024 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 100.08."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "The following figure is drawn in a square grid. Name all the acute angles in the figure.",
      "answer0": "a",
      "answer1": "c",
      "answer2": "e",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Angles a, c and e are each smaller than a right angle, so they are the acute angles. Angles b and d are not acute.",
      "hints": ["An acute angle is smaller than a right angle (less than 90°).", "Compare each marked angle to a square corner of the grid."],
      "source": "Catholic High 2024 P3 End of Year Exam Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 8,
      "image_loc": "middle of page, below the question — square-grid figure with marked angles a, b, c, d, e",
      "notes": "Key: a, c and e (three blanks). Figure required to judge each angle."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The bar graph shows the number of muffins and cookies sold by a shop over three days. (a) On which day did the shop sell more muffins than cookies? Day [?] (b) How many cookies did the shop sell over three days? [?]",
      "answer0": "1",
      "answer1": "120",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "(a) On Day 1 the muffin bar (35) is longer than the cookie bar (20), so Day 1. (b) Cookies: Day 1 = 20, Day 2 = 55, Day 3 = 45; total = 20 + 55 + 45 = 120.",
      "hints": ["Compare the muffin and cookie bars for each day.", "For total cookies, add the cookie bar lengths for all three days."],
      "source": "Catholic High 2024 P3 End of Year Exam Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 9,
      "image_loc": "upper half of page, below the question — horizontal bar graph titled \"Muffins and Cookies sold over three days\" with Day 1–3 on the y-axis",
      "notes": "Key: a) Day 1, b) 120 (20+55+45). Two parts treated as two blanks. Bar graph required."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "What is the remainder when 737 is divided by 7?",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "737 ÷ 7 = 105 remainder 2.",
      "hints": ["Divide 737 by 7 using long division.", "The remainder is what is left over after the last subtraction."],
      "source": "Catholic High 2024 P3 End of Year Exam Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 737 ÷ 7 = 105 R2; remainder 2."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Study the number pattern below. What is the missing number in the box? 356, 1356, 1366, 2366, 2376, [?], 3386, 4386, 4396",
      "answer0": "3376",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 3,
      "explanation": "The pattern alternates +1000 then +10: 356 (+1000) 1356 (+10) 1366 (+1000) 2366 (+10) 2376 (+1000) 3376 (+10) 3386 (+1000) 4386 (+10) 4396.",
      "hints": ["Look at the difference between each pair of numbers.", "The steps alternate between adding 1000 and adding 10."],
      "source": "Catholic High 2024 P3 End of Year Exam Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2376 + 1000 = 3376."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Find the value of 1/12 + 2/3. Express your answer as a fraction in its simplest form.",
      "answer0": "3/4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "2/3 = 8/12. 1/12 + 8/12 = 9/12 = 3/4.",
      "hints": ["Make the denominators the same first (use 12).", "Add the numerators, then simplify."],
      "source": "Catholic High 2024 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 9/12 = 3/4."
    },
    {
      "n": 17,
      "type_id": 0,
      "question": "Line AB is drawn on a square grid. Draw a line parallel to line AB and passes through point C.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "Draw a line through C with the same slope as AB (same horizontal and vertical step across the grid) so it never meets AB.",
      "hints": ["Parallel lines have the same slant and never meet.", "Match the grid steps of AB starting from point C."],
      "source": "Catholic High 2024 P3 End of Year Exam Q17",
      "image_needed": true,
      "image_options": false,
      "image_file": "q17.png",
      "image_page": 11,
      "image_loc": "upper half of page, below the question — square grid with line AB drawn and a marked point C",
      "notes": "Draw-on-grid task; no value answer — type_id 0, SKIPPED on insert. Key shows a parallel line drawn through C."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Find the missing numerator and denominator in the boxes for (a) and (b). 4/11 = [?]/33 = 20/[?]",
      "answer0": "12",
      "answer1": "55",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 80,
      "difficulty_id": 2,
      "explanation": "4/11 = 12/33 (multiply top and bottom by 3). 4/11 = 20/55 (multiply top and bottom by 5). So (a) = 12, (b) = 55.",
      "hints": ["Equivalent fractions multiply numerator and denominator by the same number.", "11 × 3 = 33 gives (a); 4 × 5 = 20 gives (b)."],
      "source": "Catholic High 2024 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: a) 12, b) 55. Two blanks in order (a then b)."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Jimmy went for a run in the park. His watch was 15 minutes slow. The run lasted 135 min. According to his watch, he stopped running at 8.05 p.m. What was the actual time he started his run? [?] p.m.",
      "answer0": "6.05",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 3,
      "explanation": "Watch is 15 min slow, so actual stop time = 8.05 p.m. + 15 min = 8.20 p.m. Run lasted 135 min (2 h 15 min), so start = 8.20 p.m. − 2 h 15 min = 6.05 p.m.",
      "hints": ["A slow watch shows an earlier time than the real time, so add 15 min to get the actual stop time.", "Then subtract the 135-min run duration."],
      "source": "Catholic High 2024 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 6.05 p.m. Answer blank precedes the printed \"p.m.\" label."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "The difference between two numbers is 1406. The greater number is 2034. What is the sum of the two numbers?",
      "answer0": "2662",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Smaller number = 2034 − 1406 = 628. Sum = 2034 + 628 = 2662.",
      "hints": ["First find the smaller number by subtracting the difference from the greater number.", "Then add the two numbers."],
      "source": "Catholic High 2024 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2034 − 1406 = 628; 2034 + 628 = 2662."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Xin Li had 11 m of string. She cut the string into 9 equal pieces with 263 cm left. What was the length of each piece of string? [?] cm",
      "answer0": "93",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "11 m = 1100 cm. 1100 − 263 = 837 cm used for the pieces. 837 ÷ 9 = 93 cm each.",
      "hints": ["Convert 11 m to centimetres first.", "Subtract the leftover, then divide by 9."],
      "source": "Catholic High 2024 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1100 − 263 = 837; 837 ÷ 9 = 93 cm. Answer in cm."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "153 story books were shared among Alvin, Bala and Caleb. Alvin received twice as many story books as Bala. Caleb received fewer story books than Bala. For each statement, state True, False or Not possible to tell. (a) Alvin has more story books than Caleb. (b) Caleb received only 9 story books.",
      "answer0": "True",
      "answer1": "Not possible to tell",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "(a) Alvin = 2 × Bala and Caleb < Bala < Alvin, so Alvin definitely has more than Caleb — True. (b) Alvin + Bala = 3 parts of Bala; with Caleb fewer than Bala there are several possible values for Caleb, so the exact number cannot be determined — Not possible to tell.",
      "hints": ["Alvin = twice Bala, and Caleb is fewer than Bala — compare Alvin with Caleb.", "Check whether Caleb's exact number is fixed or could vary."],
      "source": "Catholic High 2024 P3 End of Year Exam Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "True/False/Not-possible-to-tell table rendered as two ordered blanks. Key: a) True, b) Not possible to tell."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Anne paid $720 for a pair of shoes and a belt. The pair of shoes cost 4 times as much as the belt. She also bought a shirt which cost $45 more than the belt. How much did the shirt cost?",
      "answer0": "189",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Shoes + belt = 5 units = $720, so 1 unit (belt) = $720 ÷ 5 = $144. Shirt = belt + $45 = $144 + $45 = $189.",
      "hints": ["Shoes are 4 units and the belt is 1 unit, so together they make 5 equal units.", "Find the belt's cost, then add $45 for the shirt."],
      "source": "Catholic High 2024 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 720 ÷ 5 = 144; 144 + 45 = 189. Answer is a dollar amount ($189)."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Pete had 1037 marbles. Ken had 1527 marbles. Pete then bought some more marbles. Ken had 285 fewer marbles than Pete in the end. How many marbles did Pete buy?",
      "answer0": "775",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "In the end Pete had 285 more than Ken: 1527 + 285 = 1812 marbles. Pete bought 1812 − 1037 = 775 marbles.",
      "hints": ["Ken's number does not change; Pete ends with 285 more than Ken.", "Subtract Pete's starting amount from his final amount."],
      "source": "Catholic High 2024 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1527 + 285 = 1812; 1812 − 1037 = 775."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "The figure is made up of a rectangle and 3 identical squares. The length of the rectangle is 27 cm. Find the area of each square.",
      "answer0": "81",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 3,
      "explanation": "The 3 identical squares lie along the 27 cm length, so each square's side = 27 ÷ 3 = 9 cm. Area of each square = 9 × 9 = 81 cm².",
      "hints": ["The three squares together span the 27 cm length — find one side.", "Area of a square = side × side."],
      "source": "Catholic High 2024 P3 End of Year Exam Q25",
      "image_needed": true,
      "image_options": false,
      "image_file": "q25.png",
      "image_page": 16,
      "image_loc": "top of page, below the question — a rectangle (27 cm wide) sitting above a row of 3 identical squares",
      "notes": "Key: 27 ÷ 3 = 9; 9 × 9 = 81 (cm²). Answer is an area. Figure required."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "Lines and dots are used to form the following figures that follow a pattern. The first three figures are shown. The table shows the number of lines and dots used for each figure. (a) Complete the table for Figure 4: number of lines. (b) Which Figure Number will have a total of 51 dots?",
      "answer0": "12",
      "answer1": "25",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 3,
      "explanation": "(a) Number of lines follows 3, 6, 9, ... = 3 × Figure Number, so Figure 4 has 3 × 4 = 12 lines. (b) Number of dots = 2 × Figure Number + 1. Set 2n + 1 = 51, so 2n = 50, n = 25.",
      "hints": ["Lines: 3, 6, 9 — it goes up by 3 each figure.", "Dots: 3, 5, 7, 9 — each figure adds 2 dots; find which figure reaches 51."],
      "source": "Catholic High 2024 P3 End of Year Exam Q26",
      "image_needed": true,
      "image_options": false,
      "image_file": "q26.png",
      "image_page": 17,
      "image_loc": "top of page, below the question — Figure 1, Figure 2 and Figure 3 drawn as connected dots-and-lines (zig-zag) shapes",
      "notes": "Key: a) 12 lines, b) Figure 25 (51 = 2n+1 → n=25). Two ordered blanks. Pattern figures shown for context."
    }
  ]
}