{
  "paper": {
    "school": "Pei Chun Public School",
    "year": 2023,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Pei Chun 2023 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 7 in 9075?",
      "answer0": "7",
      "answer1": "70",
      "answer2": "700",
      "answer3": "7000",
      "correct_answer": 1,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 9075 the digit 7 is in the tens place, so its value is 70.",
      "hints": ["Identify the place of the digit 7.", "7 is in the tens column, so its value is 7 tens = 70."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2) = 70."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Look at the number pattern and find the missing number in the box.",
      "answer0": "3609",
      "answer1": "3960",
      "answer2": "3709",
      "answer3": "3970",
      "correct_answer": 2,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "The sequence 4309, 4109, 3909, ?, 3509, 3309 decreases by 200 each time. 3909 - 200 = 3709.",
      "hints": ["Find the difference between consecutive terms.", "Each term decreases by 200."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q2",
      "image_needed": true,
      "image_page": 3,
      "image_loc": "below the question, a row of six boxes: 4309, 4109, 3909, ?, 3509, 3309",
      "image_options": false,
      "image_file": "q2.png",
      "notes": "Key: option (3) = 3709."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Arrange the following fractions in order. Begin with the greatest.\n1/10, 3/5, 1/2",
      "answer0": "3/5, 1/10, 1/2",
      "answer1": "1/10, 1/2, 3/5",
      "answer2": "3/5, 1/2, 1/10",
      "answer3": "1/2, 1/10, 3/5",
      "correct_answer": 2,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Convert to tenths: 3/5 = 6/10, 1/2 = 5/10, 1/10 = 1/10. Greatest to smallest: 6/10, 5/10, 1/10, i.e. 3/5, 1/2, 1/10.",
      "hints": ["Make the denominators the same (tenths).", "3/5 = 6/10, 1/2 = 5/10."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = 3/5, 1/2, 1/10."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Tim had two beakers of water, Beaker A and Beaker B. How much water was there in both beakers altogether?",
      "answer0": "300 ml",
      "answer1": "400 ml",
      "answer2": "500 ml",
      "answer3": "1000 ml",
      "correct_answer": 3,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Reading the two beakers and adding the volumes gives a total of 1000 ml.",
      "hints": ["Read each beaker's water level.", "Add the two volumes together."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q4",
      "image_needed": true,
      "image_page": 4,
      "image_loc": "middle of page, two beakers labelled Beaker A and Beaker B with 1 litre marks",
      "image_options": false,
      "image_file": "q4.png",
      "notes": "Key: option (4) = 1000 ml. Volumes must be read from the figure."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which of the following is a pair of parallel lines?",
      "answer0": "AB and DC",
      "answer1": "BC and CD",
      "answer2": "AD and BC",
      "answer3": "AD and DC",
      "correct_answer": 2,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "In quadrilateral ABCD, sides AD and BC are the two parallel (non-intersecting) sides.",
      "hints": ["Parallel lines never meet.", "Look at the figure and find the two sides that stay the same distance apart."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q5",
      "image_needed": true,
      "image_page": 4,
      "image_loc": "middle of page, quadrilateral with vertices A, B, C, D",
      "image_options": false,
      "image_file": "q5.png",
      "notes": "Key: option (3) = AD and BC."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "The figures are drawn on a 1-cm grid. Which 2 figures have the same area?",
      "answer0": "A and D",
      "answer1": "B and C",
      "answer2": "C and D",
      "answer3": "A and B",
      "correct_answer": 1,
      "skill_id": 95,
      "difficulty_id": 3,
      "explanation": "Counting the shaded squares (and half-squares) for each figure on the 1-cm grid, figures B and C cover the same area.",
      "hints": ["Count whole and half shaded squares for each figure.", "Compare the totals to find the matching pair."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q6",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "upper half of page, four shaded figures A, B, C, D on a 1-cm grid",
      "image_options": false,
      "image_file": "q6.png",
      "notes": "Key: option (2) = B and C. Areas read from the grid figure."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Kelly arrived in school at 7.10 a.m. She took 35 minutes to travel from home to school. At what time did she leave her home?",
      "answer0": "6.25 a.m.",
      "answer1": "6.35 a.m.",
      "answer2": "7.35 a.m.",
      "answer3": "7.45 a.m.",
      "correct_answer": 1,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "Subtract the travel time from the arrival time: 7.10 a.m. - 35 min = 6.35 a.m.",
      "hints": ["Work backwards from the arrival time.", "7.10 a.m. minus 35 minutes."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2) = 6.35 a.m."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "The difference between two numbers is 1718. The smaller number is 6147. What is the other number?",
      "answer0": "7964",
      "answer1": "7865",
      "answer2": "4429",
      "answer3": "4330",
      "correct_answer": 1,
      "skill_id": 70,
      "difficulty_id": 2,
      "explanation": "The other number is the larger one: 6147 + 1718 = 7865.",
      "hints": ["Add the difference to the smaller number.", "6147 + 1718 = 7865."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (2) = 7865."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "A sum of money was shared among 4 boys. Each boy received $200 and there was $38 left. What was the sum of money?",
      "answer0": "$50",
      "answer1": "$88",
      "answer2": "$762",
      "answer3": "$838",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "4 x $200 = $800, plus the $38 left over = $838.",
      "hints": ["Multiply the amount per boy by 4.", "Then add the leftover $38."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = $838."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Cindy needs 175 cm of cloth to make a blouse. She needs 25 cm more cloth to make a dress. How much cloth does Cindy need to make 2 such dresses?",
      "answer0": "200 cm",
      "answer1": "300 cm",
      "answer2": "375 cm",
      "answer3": "400 cm",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "One dress = 175 + 25 = 200 cm. Two dresses = 200 x 2 = 400 cm.",
      "hints": ["Find the cloth for one dress first.", "175 + 25 = 200 cm, then double it."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 400 cm."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Write 7 thousands, 9 hundreds and 4 ones in numerals.\n[?]",
      "answer0": "7904",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "7 thousands = 7000, 9 hundreds = 900, 0 tens, 4 ones = 4. Total = 7904.",
      "hints": ["Place each digit in its column: thousands, hundreds, tens, ones.", "There are 0 tens, so the tens digit is 0."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 7904."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Find the product of 369 and 8.\n[?]",
      "answer0": "2952",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "369 x 8 = 2952.",
      "hints": ["Product means multiply.", "369 x 8 = 2952."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 369 x 8 = 2952."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Express 9/12 in its simplest form.\n[?]",
      "answer0": "3/4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "Divide numerator and denominator by 3: 9/12 = 3/4.",
      "hints": ["Find a common factor of 9 and 12.", "Divide both by 3."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 9/12 = 3/4."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "What is the mass of the bottle of cooking oil?\n[?] kg [?] g",
      "answer0": "3",
      "answer1": "400",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "The scale pointer reads 3 kg 400 g.",
      "hints": ["Read the position of the pointer on the kg scale.", "Each small mark is 100 g."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q14",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "upper-middle of page, bottle of cooking oil on a dial weighing scale marked in kg",
      "image_options": false,
      "image_file": "q14.png",
      "notes": "Key: 3 kg 400 g. Answer in compound units kg and g (two blanks)."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "How many of the marked angles are obtuse angles?\n[?]",
      "answer0": "3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Of the marked angles in the figure, 3 are obtuse (greater than a right angle).",
      "hints": ["An obtuse angle is greater than a right angle (90 degrees).", "Check each marked angle against a right angle."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q15",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "middle of page, irregular polygon with several marked angles",
      "image_options": false,
      "image_file": "q15.png",
      "notes": "Key: 3. Count of obtuse angles read from figure."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Jessica's piano lesson started at 9.45 a.m. Her lesson lasted for 1 h 20 min. At what time did her lesson end?\n[?] a.m.",
      "answer0": "11.05",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "9.45 a.m. + 1 h = 10.45 a.m.; + 20 min = 11.05 a.m.",
      "hints": ["Add the hours first, then the minutes.", "9.45 + 1 h = 10.45, then + 20 min."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 11.05 a.m."
    },
    {
      "n": 17,
      "type_id": 0,
      "question": "Draw a line parallel to line AB passing 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/vertical steps on the grid).",
      "hints": ["Match the slope of line AB.", "Use the grid squares to keep the new line parallel."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q17",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "middle of page, square grid with line AB drawn and a separate Point C",
      "image_options": false,
      "image_file": "q17.png",
      "notes": "Interactive draw-on-grid task; no value answer. type_id 0, will be skipped on insert. Key shows a drawn parallel line through C."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Use all the following digits to form the greatest 4-digit odd number. Each digit can only be used once. Do not begin with the digit '0'.\n8, 0, 9, 6\n[?]",
      "answer0": "8609",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 66,
      "difficulty_id": 3,
      "explanation": "An odd number must end in 9 (the only odd digit). Using 8, 0, 6 for the remaining places, largest is 860, giving 8609.",
      "hints": ["For odd, the ones digit must be the odd digit 9.", "Arrange the remaining digits largest-first: 8, 6, 0."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q18",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "upper half of page, four digit cards: 8, 0, 9, 6",
      "image_options": false,
      "image_file": "q18.png",
      "notes": "Key: 8609. Digits are given on cards."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Find the value of 1/3 + 2/6. Give your answer in the simplest form.\n[?]",
      "answer0": "2/3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "1/3 = 2/6, so 2/6 + 2/6 = 4/6 = 2/3.",
      "hints": ["Make the denominators the same.", "1/3 = 2/6, then add and simplify."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4/6 = 2/3."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "The figure is made up of 10 equal parts. How many more parts must be shaded so that 3/5 of the figure is shaded?\n[?]",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 77,
      "difficulty_id": 2,
      "explanation": "3/5 of 10 parts = 6 parts. The figure already has 1 part shaded, so 6 - 1 = 5 more parts.",
      "hints": ["Find 3/5 of 10 parts.", "Subtract the parts already shaded."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q20",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "lower-middle of page, a strip of 10 equal parts with 1 part shaded on the left",
      "image_options": false,
      "image_file": "q20.png",
      "notes": "Key: 5. One part is already shaded in the figure."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Annie has 3 fifty-cent coins and 4 five-dollar notes. How much money does she have altogether?\n$ [?]",
      "answer0": "21.50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "3 x $0.50 = $1.50; 4 x $5 = $20; total = $20 + $1.50 = $21.50.",
      "hints": ["Work out the value of the coins and the notes separately.", "$1.50 + $20.00 = $21.50."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4x5 = 20, 20 + 1.50 = 21.50."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "How much farther was the distance between Town B and Town C than that between Town A and Town B?\n[?] m",
      "answer0": "490",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "B-C = 2050 m, A-B = 1560 m. Difference = 2050 - 1560 = 490 m.",
      "hints": ["Read both distances from the figure.", "Subtract: 2050 - 1560."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q22",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "middle of page, road map with Town A, Town B (1560 m) and Town C (2050 m)",
      "image_options": false,
      "image_file": "q22.png",
      "notes": "Key: 2050 - 1560 = 490."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "A tennis racket cost $128. A pair of sports shoes cost $19.60 less than the tennis racket. How much did the pair of sports shoes cost?\n$ [?]",
      "answer0": "108.40",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "$128.00 - $19.60 = $108.40.",
      "hints": ["Subtract the difference from the racket's price.", "128.00 - 19.60 = 108.40."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 128.00 - 19.60 = 108.40."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Mrs Wong used 135 g of flour to bake a cake. How much flour did Mrs Wong use to bake 5 such cakes?\n[?] g",
      "answer0": "675",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "135 g x 5 = 675 g.",
      "hints": ["Multiply the flour for one cake by 5.", "135 x 5 = 675."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 135 x 5 = 675."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "The figure shows the height of a boy. What is his height\n(a) in centimetres?\n(b) in metres and centimetres?\n(a) [?] cm\n(b) [?] m [?] cm",
      "answer0": "160",
      "answer1": "1",
      "answer2": "60",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "The pointer reads 160 cm. 160 cm = 1 m 60 cm.",
      "hints": ["Read the scale between 100 cm and 200 cm.", "100 cm = 1 m, so 160 cm = 1 m 60 cm."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q25",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "right-middle of page, a boy standing against a vertical height scale marked 100 cm and 200 cm",
      "image_options": false,
      "image_file": "q25.png",
      "notes": "Key: (a) 160 cm, (b) 1 m 60 cm. Three blanks: cm, then m and cm."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "Mandy packed 932 sweets into as many boxes of 9 as possible. How many sweets were left unpacked?\n[?]",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "932 / 9 = 103 remainder 5, so 5 sweets are left unpacked.",
      "hints": ["Divide 932 by 9.", "The remainder is the number left unpacked."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q26",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 932 / 9 = 103 R5, Ans: 5."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "Mr Suri sold 243 apples. Mr Ng sold 3 times as many apples as Mr Suri. How many apples did Mr Ng sell?\n[?]",
      "answer0": "729",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "243 x 3 = 729.",
      "hints": ["3 times as many means multiply by 3.", "243 x 3 = 729."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 243 x 3 = 729."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "A pail with a capacity of 2 l contains 1400 ml of water. 3 full jugs of water are needed to fill the pail completely. What is the capacity of a jug?\n[?] ml",
      "answer0": "200",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "2 l = 2000 ml. Water still needed = 2000 - 1400 = 600 ml. 3 jugs fill 600 ml, so each jug = 600 / 3 = 200 ml.",
      "hints": ["Find how much more water is needed: 2000 - 1400.", "Divide that amount by 3 jugs."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2000 - 1400 = 600, 600 / 3 = 200."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "Ravi had 680 marbles at first. He gave away 8 marbles and packed the remaining marbles into packets of 4 marbles. How many packets of marbles did Ravi pack?\n[?]",
      "answer0": "168",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "680 - 8 = 672 marbles left. 672 / 4 = 168 packets.",
      "hints": ["First subtract the 8 marbles given away.", "Then divide the remainder by 4."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q29",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 680 - 8 = 672, 672 / 4 = 168."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "The graph shows the number of story books read by a group of pupils last week. How many pupils read more than 1 but fewer than 4 books last week?\n[?]",
      "answer0": "26",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "More than 1 but fewer than 4 means 2 and 3 books: 18 + 8 = 26 pupils.",
      "hints": ["Read the bars for 2 books and 3 books.", "Add those two values: 18 + 8."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q30",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "middle of page, bar graph: Number of pupils vs Number of story books (1 to 5)",
      "image_options": false,
      "image_file": "q30.png",
      "notes": "Key: 18 + 8 = 26. Bar values for 2 books = 18, 3 books = 8."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "Janet gave 60 muffins to her classmates. 12 of her classmates took 1 muffin each. The rest of her classmates took 2 muffins each. How many of Janet's classmates took 2 muffins each?\n[?]",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "12 classmates took 12 muffins. Remaining muffins = 60 - 12 = 48. These were taken 2 each, so 48 / 2 = 24 classmates.",
      "hints": ["Find how many muffins are left after the 12 single-muffin classmates.", "Divide the remaining muffins by 2."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 60 - 12 = 48, 48 / 2 = 24."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "A group of people was asked to choose their favourite choice of drinks. The bar graph shows their choices. How many more people like fruit juice than soft drinks?\n[?]",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Fruit juice = 30, soft drinks = 18. Difference = 30 - 18 = 12.",
      "hints": ["Read the bars for fruit juice and soft drinks.", "Subtract: 30 - 18."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q32",
      "image_needed": true,
      "image_page": 15,
      "image_loc": "middle of page, horizontal bar graph: Type of Drinks vs Number of people (0 to 40)",
      "image_options": false,
      "image_file": "q32.png",
      "notes": "Key: 30 - 18 = 12. Bar values: fruit juice = 30, soft drinks = 18."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "A van can carry up to 8 people. What is the smallest number of vans needed to carry 97 people?\n[?]",
      "answer0": "13",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "97 / 8 = 12 remainder 1. The remaining person still needs a van, so 12 + 1 = 13 vans.",
      "hints": ["Divide 97 by 8.", "Round up to fit the leftover people."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q33",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 97 / 8 = 12 R1, 12 + 1 = 13."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "Mr Smith bought 6 oranges and 8 apples with some money. An orange cost twice as much as an apple. How many apples could Mr Smith buy with the same amount of money?\n[?]",
      "answer0": "20",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "1 orange = 2 apples in cost, so 6 oranges = 12 apples. Total = 12 + 8 = 20 apples.",
      "hints": ["Convert the cost of 6 oranges into apples.", "6 oranges = 12 apples, then add the 8 apples."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q34",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 6x2 = 12, 12 + 8 = 20."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "A shirt cost $65.30. Mrs Lee bought a bag that cost $24.80 more than the shirt.\n(a) What was the cost of the bag?\n(b) Mrs Lee gave the cashier a $100 note to pay for the bag. What was the change she received?\n(a) $ [?]\n(b) $ [?]",
      "answer0": "90.10",
      "answer1": "9.90",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "(a) Bag = $65.30 + $24.80 = $90.10. (b) Change = $100 - $90.10 = $9.90.",
      "hints": ["Add the extra cost to the shirt's price for the bag.", "Subtract the bag's price from $100 for the change."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 65.30 + 24.80 = 90.10, (b) 100 - 90.10 = 9.90. Two parts."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Mrs Tan started washing and polishing her car at 5.00 p.m. She took 40 min to wash her car and 1 h 25 min to polish her car.\n(a) At what time did Mrs Tan complete washing and polishing her car?\n(b) How much more time did Mrs Tan take to polish than wash her car?\n(a) [?]\n(b) [?]",
      "answer0": "7.05 p.m.",
      "answer1": "45 min",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 3,
      "explanation": "(a) Total time = 40 min + 1 h 25 min = 2 h 5 min. 5.00 p.m. + 2 h 5 min = 7.05 p.m. (b) 1 h 25 min - 40 min = 85 min - 40 min = 45 min.",
      "hints": ["Add both durations to the start time for (a).", "For (b), subtract the wash time from the polish time."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q36",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 7.05 p.m., (b) 1 h 25 min - 40 min = 45 min. Two parts."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "Jerry ran 1650 m. He ran 800 m more than Kenny.\n(a) What is the distance Kenny ran in metres?\n(b) What is the total distance ran by the two boys? Leave your answer in km and m.\n(a) [?] m\n(b) [?] km [?] m",
      "answer0": "850",
      "answer1": "2",
      "answer2": "500",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "(a) Kenny = 1650 - 800 = 850 m. (b) Total = 1650 + 850 = 2500 m = 2 km 500 m.",
      "hints": ["Jerry ran 800 m more, so subtract for Kenny.", "Add both distances, then convert 2500 m to km and m."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q37",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 1650 - 800 = 850, (b) 1650 + 850 = 2500 m = 2 km 500 m. Three blanks: m, then km and m."
    },
    {
      "n": 38,
      "type_id": 2,
      "question": "Janice placed 3 rectangular cards of the same size together to form a large rectangle.\n(a) What is the perimeter of the large rectangle?\n(b) What is the area of the large rectangle?\n(a) [?] cm\n(b) [?] cm2",
      "answer0": "20",
      "answer1": "24",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 3,
      "explanation": "Each card is 2 cm by 4 cm. Three side by side make a large rectangle 6 cm by 4 cm. (a) Perimeter = 2 x (6 + 4) = 20 cm. (b) Area = 6 x 4 = 24 cm2.",
      "hints": ["Three 2 cm widths make the long side: 3 x 2 = 6 cm; height = 4 cm.", "Perimeter = 2 x (length + breadth); Area = length x breadth."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q38",
      "image_needed": true,
      "image_page": 20,
      "image_loc": "upper-middle of page, large rectangle split into 3 equal cards, marked 2 cm wide and 4 cm tall",
      "image_options": false,
      "image_file": "q38.png",
      "notes": "Key: (a) 12 + 8 = 20 cm, (b) 6 x 4 = 24 cm2. Two parts. Card dims 2 cm x 4 cm from figure."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "3480 people were at a football match. 1905 of them were adults and the rest were children. There were 4 times as many boys as girls at the football match.\n(a) How many children were at the football match?\n(b) How many girls were at the football match?\n(a) [?]\n(b) [?]",
      "answer0": "1575",
      "answer1": "315",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "(a) Children = 3480 - 1905 = 1575. (b) Boys + girls = 5 units = 1575, so 1 unit (girls) = 1575 / 5 = 315.",
      "hints": ["Subtract adults from the total for the children.", "Boys are 4 units and girls 1 unit, so 5 units = children; divide by 5 for girls."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q39",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 3480 - 1905 = 1575, (b) 1575 / 5 = 315. Two parts."
    },
    {
      "n": 40,
      "type_id": 2,
      "question": "Mrs Ong bought a total of 50 notebooks and scissors for $154. She paid $5 for each notebook and $2 for each pair of scissors.\n(a) How many pairs of scissors did she buy?\n(b) How many notebooks did she buy?\n(a) [?]\n(b) [?]",
      "answer0": "18",
      "answer1": "32",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Assume all 50 are notebooks: 50 x $5 = $250. Excess = $250 - $154 = $96. Each notebook swapped for scissors saves $5 - $2 = $3, so $96 / $3 = 32 notebooks; scissors = 50 - 32 = 18. (a) 18 scissors, (b) 32 notebooks.",
      "hints": ["Assume all 50 items are notebooks and compare the cost to $154.", "Each swap to scissors saves $3; use the excess to find how many."],
      "source": "Pei Chun 2023 P3 End of Year Exam Q40",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key working: 50x5=250, 250-154=96, 96/3=32 notebooks, 50-32=18 scissors. So (a) scissors = 18, (b) notebooks = 32. Two parts."
    }
  ]
}