{
  "paper": {
    "school": "Nan Hua Primary School",
    "year": 2023,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Nan Hua 2023 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which of the following is five thousand, four hundred and one in numerals?",
      "answer0": "514",
      "answer1": "5041",
      "answer2": "5401",
      "answer3": "5410",
      "correct_answer": 2,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Five thousand = 5000, four hundred = 400, one = 1. 5000 + 400 + 1 = 5401.",
      "hints": ["Write each part: thousands, hundreds, tens, ones.", "There are 0 tens, so place a 0 in the tens column."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 3 (5401)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is the number shown?",
      "answer0": "675",
      "answer1": "6075",
      "answer2": "6705",
      "answer3": "6750",
      "correct_answer": 1,
      "skill_id": 66,
      "difficulty_id": 2,
      "explanation": "6 thousands (6000) + 0 hundreds + 7 tens (70) + 5 ones = 6075.",
      "hints": ["Count each type of disc: 1000s, 10s, 1s.", "There are no hundreds, so the hundreds digit is 0."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q2",
      "image_needed": true,
      "image_page": 3,
      "image_loc": "middle of page, place-value disc diagram below the question (six 1000-discs, seven 10-discs, five 1-discs in a box with an arrow to a ? box)",
      "image_options": false,
      "image_file": "q2.png",
      "notes": "Key = option 2 (6075). 6 thousands, 7 tens, 5 ones."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "What is the quotient when 760 is divided by 7?",
      "answer0": "112",
      "answer1": "108",
      "answer2": "18",
      "answer3": "4",
      "correct_answer": 1,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "760 / 7 = 108 remainder 4. The quotient is 108.",
      "hints": ["The quotient is the whole-number result of the division.", "7 x 108 = 756, with 4 left over."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 2 (108)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following shows 5 sixes?",
      "answer0": "Array A",
      "answer1": "Array B",
      "answer2": "Array C",
      "answer3": "Array D",
      "correct_answer": 1,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "5 sixes = 5 groups of 6 = 30 stars. Option 2 shows 5 rows of 6 stars.",
      "hints": ["5 sixes means 5 x 6 = 30.", "Find the array with 5 rows and 6 in each row."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q4",
      "image_needed": true,
      "image_page": 4,
      "image_options": true,
      "image_file": null,
      "notes": "Key = option 2. Four star-array figures are the options. image_loc: upper half of page, four labelled (1)-(4) star arrays; crop each to q4_opt0.png..q4_opt3.png."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which fraction is greater than 1/2?",
      "answer0": "1/3",
      "answer1": "3/8",
      "answer2": "4/7",
      "answer3": "6/12",
      "correct_answer": 2,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Compare each to 1/2: 1/3 < 1/2, 3/8 < 1/2, 4/7 > 1/2 (since half of 7 is 3.5), 6/12 = 1/2. Only 4/7 is greater.",
      "hints": ["A fraction is greater than 1/2 when the numerator is more than half the denominator.", "Half of 7 is 3.5, and 4 > 3.5."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 3 (4/7)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "How many numbers between 11 and 28 can be divided exactly by 5 with no remainder?",
      "answer0": "5",
      "answer1": "2",
      "answer2": "3",
      "answer3": "7",
      "correct_answer": 2,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "Multiples of 5 between 11 and 28 are 15, 20 and 25 - that is 3 numbers.",
      "hints": ["List the multiples of 5 that lie between 11 and 28.", "15, 20, 25."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 3 (3)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Which of the following fractions is equivalent to 2/3?",
      "answer0": "4/9",
      "answer1": "1/2",
      "answer2": "6/9",
      "answer3": "5/6",
      "correct_answer": 2,
      "skill_id": 77,
      "difficulty_id": 2,
      "explanation": "Multiply 2/3 by 3/3: (2x3)/(3x3) = 6/9. So 6/9 is equivalent to 2/3.",
      "hints": ["Multiply numerator and denominator by the same number.", "2/3 = 4/6 = 6/9."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 3 (6/9)."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "What is the time shown on the clock?",
      "answer0": "10 minutes to 8",
      "answer1": "10 minutes past 8",
      "answer2": "20 minutes to 2",
      "answer3": "20 minutes past 3",
      "correct_answer": 1,
      "skill_id": 89,
      "difficulty_id": 2,
      "explanation": "The minute hand points to 2 (10 minutes), the hour hand is just past 8, so it is 10 minutes past 8.",
      "hints": ["The minute hand on the 2 means 10 minutes.", "The hour hand is just after 8."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q8",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "right side of page, analogue clock face beside the question (hour hand just past 8, minute hand on 2)",
      "image_options": false,
      "image_file": "q8.png",
      "notes": "Key = option 2 (10 minutes past 8)."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Healing Hands Clinic opens only on weekdays for the timings shown in the table. Mondays to Fridays: 9:00 am - 12:30 pm and 3:30 pm - 8:00 pm; Saturdays and Sundays: Closed. How long is the clinic open on a Tuesday?",
      "answer0": "3 h 30 min",
      "answer1": "4 h 30 min",
      "answer2": "7 h",
      "answer3": "8 h",
      "correct_answer": 3,
      "skill_id": 93,
      "difficulty_id": 2,
      "explanation": "Morning: 9:00 am to 12:30 pm = 3 h 30 min. Afternoon: 3:30 pm to 8:00 pm = 4 h 30 min. Total = 3 h 30 min + 4 h 30 min = 8 h.",
      "hints": ["Tuesday is a weekday, so use the Monday-to-Friday timings.", "Add the morning duration and the afternoon duration."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 4 (8 h). Table content transcribed into the stem."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "How many angles are smaller than a right angle inside the figure?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "6",
      "correct_answer": 1,
      "skill_id": 99,
      "difficulty_id": 3,
      "explanation": "The heart-shaped figure drawn on the grid has 2 angles that are each smaller than a right angle (acute).",
      "hints": ["A right angle is a square corner (90 degrees).", "Count only the angles that are sharper than a square corner."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q10",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "middle of page, heart-shaped figure drawn on a square grid below the question",
      "image_options": false,
      "image_file": "q10.png",
      "notes": "Key = option 2 (2). Count angles smaller than a right angle in the gridded figure."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Find the value of 6/8 - 1/2.",
      "answer0": "10/8",
      "answer1": "5/6",
      "answer2": "7/10",
      "answer3": "1/4",
      "correct_answer": 3,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "1/2 = 4/8. So 6/8 - 4/8 = 2/8 = 1/4.",
      "hints": ["Make the denominators the same: 1/2 = 4/8.", "6/8 - 4/8 = 2/8, then simplify."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 4 (1/4)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "The figure shows a mango and a durian on a weighing scale. The mass of the mango is 250 g. What is the mass of the durian?",
      "answer0": "1 kg 950 g",
      "answer1": "2 kg 450 g",
      "answer2": "2 kg 700 g",
      "answer3": "2 kg 950 g",
      "correct_answer": 3,
      "skill_id": 85,
      "difficulty_id": 3,
      "explanation": "The scale reads 3 kg 200 g (3.2 kg) for both fruits. Subtract the mango: 3 kg 200 g - 250 g = 2 kg 950 g.",
      "hints": ["Read the total mass shown on the scale.", "Subtract the mango's 250 g from the total."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q12",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "middle of page, dial weighing scale with a mango and durian on top",
      "image_options": false,
      "image_file": "q12.png",
      "notes": "Key = option 4 (2 kg 950 g). Total reads 3.2 kg; 3200 g - 250 g = 2950 g."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "The figure is made up of 8 identical squares. The length of each square is 1 cm. What is the perimeter of the figure?",
      "answer0": "8 cm",
      "answer1": "12 cm",
      "answer2": "22 cm",
      "answer3": "32 cm",
      "correct_answer": 1,
      "skill_id": 96,
      "difficulty_id": 2,
      "explanation": "The 8 squares form a 4 cm by 2 cm rectangle. Perimeter = 2 x (4 + 2) = 12 cm.",
      "hints": ["The squares form a 4 by 2 rectangle.", "Perimeter = 2 x (length + breadth)."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q13",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "top of page, 4-by-2 grid of identical squares below the question",
      "image_options": false,
      "image_file": "q13.png",
      "notes": "Key = option 2 (12 cm). 8 squares arranged 4 wide x 2 tall."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "Arrange the following lengths from the longest to the shortest. 1 m 20 cm, 1 km 2 m, 120 m",
      "answer0": "1 m 20 cm, 120 m, 1 km 2 m",
      "answer1": "1 m 20 cm, 1 km 2 m, 120 m",
      "answer2": "1 km 2 m, 1 m 20 cm, 120 m",
      "answer3": "1 km 2 m, 120 m, 1 m 20 cm",
      "correct_answer": 3,
      "skill_id": 86,
      "difficulty_id": 3,
      "explanation": "Convert to a common unit: 1 m 20 cm = 1.2 m, 1 km 2 m = 1002 m, 120 m. Longest to shortest: 1 km 2 m, 120 m, 1 m 20 cm.",
      "hints": ["Convert each length to metres first.", "1 km 2 m = 1002 m, which is the largest."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option 4. Options are full orderings (longest, middle, shortest)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "The picture graph shows the different types of pets kept by 63 children. Given that the number of children who kept rabbits as pets was the same as the number of children who kept fish as pets, how many children does each symbol represent?",
      "answer0": "7",
      "answer1": "9",
      "answer2": "441",
      "answer3": "567",
      "correct_answer": 0,
      "skill_id": 64,
      "difficulty_id": 3,
      "explanation": "Symbols: Cat 1, Fish 2, Hamster 4, Rabbit = Fish = 2. Total symbols = 1 + 2 + 4 + 2 = 9. Each symbol = 63 / 9 = 7 children.",
      "hints": ["Rabbit has the same number of symbols as Fish (2).", "Total symbols = 9, so divide 63 by 9."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q15",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "top of page, 'Our Pets' picture graph table (Cat, Fish, Hamster, Rabbit rows with smiley symbols)",
      "image_options": false,
      "image_file": "q15.png",
      "notes": "Key = option 1 (7). Cat=1, Fish=2, Hamster=4, Rabbit=2; 63/9=7."
    },
    {
      "n": 16,
      "type_id": 1,
      "question": "Ariel wants to shade 3/4 of the hearts. How many more hearts should she shade?",
      "answer0": "5",
      "answer1": "7",
      "answer2": "9",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "There are 12 hearts. 3/4 of 12 = 9 hearts to be shaded. 5 are already shaded, so she needs 9 - 5 = 4 more.",
      "hints": ["3/4 of 12 hearts = 9 hearts.", "Subtract the hearts already shaded."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q16",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "lower half of page, box of 12 hearts (some shaded) beside the question",
      "image_options": false,
      "image_file": "q16.png",
      "notes": "Key = option 4 (4). 12 hearts total, 5 already shaded, 9 needed for 3/4."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Use the following digits to form the smallest four-digit even number. 5, 7, 2, 1 [?]",
      "answer0": "1572",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 3,
      "explanation": "To be smallest, arrange digits in ascending order; to be even, the last digit must be even (2). Smallest even arrangement is 1572.",
      "hints": ["The number must end in an even digit (only 2 is even here).", "Arrange the remaining digits 1, 5, 7 in ascending order in front."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q17",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "top of page, four boxed digits 5, 7, 2, 1 below the question",
      "image_options": false,
      "image_file": "q17.png",
      "notes": "Key = 1572. Digits given are 5,7,2,1."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Write the missing number in the number pattern. 7120, 7000, 6880, [?], 6640, 6520",
      "answer0": "6760",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "The pattern decreases by 120 each time. 6880 - 120 = 6760.",
      "hints": ["Find the difference between consecutive terms.", "Each term is 120 less than the one before."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 6760. Pattern decreases by 120."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "What is the product of 712 and 4? [?]",
      "answer0": "2848",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "712 x 4 = 2848.",
      "hints": ["Product means multiply.", "712 x 4: multiply ones, tens, hundreds."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 2848."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "What is the missing number in the box? [?] x 9 = 432",
      "answer0": "48",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "432 / 9 = 48, so the missing number is 48.",
      "hints": ["Use the inverse operation: divide.", "432 / 9 = 48."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 48."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Mrs Seto bakes 438 cupcakes. Each box can only fit 4 cupcakes. What is the number of boxes she will need to pack all the cupcakes? [?]",
      "answer0": "110",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "438 / 4 = 109 remainder 2. The leftover 2 cupcakes still need a box, so she needs 109 + 1 = 110 boxes.",
      "hints": ["Divide 438 by 4 to find full boxes.", "The remaining cupcakes need one more box."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 110. 438/4 = 109 R2, round up to 110."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "A toy costs $223.50. Keith has the total amount of money shown. How much more money does he need to purchase the toy? Ans: $ [?]",
      "answer0": "67.50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "Keith has $156. He needs $223.50 - $156 = $67.50 more.",
      "hints": ["Add up the notes Keith has to find his total.", "Subtract his total from $223.50."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q22",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "middle of page, photo of dollar notes (SPECIMEN) Keith has, below the question",
      "image_options": false,
      "image_file": "q22.png",
      "notes": "Key = $67.50. Working: $223.50 - $156 = $67.50, so notes shown total $156."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "The difference between two numbers is 832. The greater number is 986. What is the smaller number? [?]",
      "answer0": "154",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Smaller number = greater number - difference = 986 - 832 = 154.",
      "hints": ["Difference = greater - smaller.", "986 - 832 = 154."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 154."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "All the water from the two beakers was poured into the jug. 125 ml of water flowed out from the jug. Find the capacity of the jug. Express your answer in litres and millilitres. Ans: [?] l [?] ml",
      "answer0": "1",
      "answer1": "275",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 3,
      "explanation": "Beaker 1 = 800 ml, Beaker 2 = 600 ml; total = 1400 ml. The jug overflowed by 125 ml, so its capacity = 1400 - 125 = 1275 ml = 1 l 275 ml.",
      "hints": ["Add the volumes in the two beakers.", "The capacity is the total minus the 125 ml that overflowed."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q24",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "middle of page, two 1-litre beakers (800 ml and 600 ml) with an arrow to a jug",
      "image_options": false,
      "image_file": "q24.png",
      "notes": "Key = 1 l 275 ml. Working: 800 + 600 = 1400; 1400 - 125 = 1275 ml. Two blanks (litres, millilitres)."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "There are 30 apples and 25 pears in a crate. How many fruits are there in 6 similar crates? [?]",
      "answer0": "330",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "One crate has 30 + 25 = 55 fruits. 6 crates have 55 x 6 = 330 fruits.",
      "hints": ["Find the number of fruits in one crate first.", "Multiply by 6."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 330. 55 x 6 = 330."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "A baker bakes 100 cookies at the start of each day from Monday to Friday. The bar graph shows the numbers of cookies sold each day. How many cookies were unsold on Monday and Tuesday? [?]",
      "answer0": "112",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "Monday sold 60, so unsold = 100 - 60 = 40. Tuesday sold 28, so unsold = 100 - 28 = 72. Total unsold = 40 + 72 = 112.",
      "hints": ["Read the cookies sold on Monday and on Tuesday from the bar graph.", "Unsold = 100 - sold, for each day, then add."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q26",
      "image_needed": true,
      "image_page": 13,
      "image_loc": "middle of page, bar graph 'Number of cookies sold' vs 'Day of the Week' (Mon-Fri)",
      "image_options": false,
      "image_file": "q26.png",
      "notes": "Key = 112. Mon sold 60 (unsold 40), Tue sold 28 (unsold 72); 40 + 72 = 112."
    },
    {
      "n": 27,
      "type_id": 0,
      "question": "In the grid, draw a line perpendicular to AB, passing through point M.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "Draw a straight line through M that meets AB at a right angle (90 degrees).",
      "hints": ["Perpendicular lines meet at a right angle.", "The line must pass through point M."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q27",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "top of page, square grid with line AB drawn and point M marked above it",
      "image_options": false,
      "image_file": "q27.png",
      "notes": "Interactive draw task - type_id 0 (skipped on insert). Answer = line through M perpendicular to AB."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "10 arrows are spaced out equally along Line XY. The distance between the 1st arrow and the 4th arrow is 180 cm. Find the length of Line XY. Ans: [?] cm",
      "answer0": "540",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "From the 1st to the 4th arrow there are 3 equal gaps = 180 cm, so 1 gap = 180 / 3 = 60 cm. From the 1st to the 10th arrow there are 9 gaps = 60 x 9 = 540 cm.",
      "hints": ["1st to 4th arrow is 3 gaps, not 4.", "Find one gap, then multiply by the 9 gaps from arrow 1 to arrow 10."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q28",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "middle of page, row of 10 evenly spaced arrows pointing down onto Line XY",
      "image_options": false,
      "image_file": "q28.png",
      "notes": "Key = 540 cm. 180/3 = 60 per gap; 60 x 9 = 540."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "The sum of 2 numbers is 3764. The difference of the 2 numbers is 132. Find the greater number. [?]",
      "answer0": "1948",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Twice the smaller number = 3764 - 132 = 3632, so smaller = 1816. Greater = 1816 + 132 = 1948.",
      "hints": ["Subtract the difference from the sum, then halve to get the smaller number.", "Add the difference back to find the greater number."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q29",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 1948. (3764-132)/2 = 1816; 1816+132 = 1948."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "A bus left a bus interchange with some people onboard. When it reached the first bus-stop, 7 people boarded the bus and 9 people alighted the bus. There were 24 people on the bus when it left the bus-stop. How many people were onboard the bus when it left the bus interchange? [?]",
      "answer0": "26",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Work backwards: before 7 boarded, there were 24 - 7 = 17. Before 9 alighted, there were 17 + 9 = 26 people.",
      "hints": ["Work backwards from the 24 people.", "Undo the boarding (subtract 7) then undo the alighting (add 9)."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q30",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 26. 24 - 7 = 17; 17 + 9 = 26."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "Anne baked 240 more chocolate tarts than strawberry tarts. She baked 9 times as many chocolate tarts as strawberry tarts. How many tarts did she bake? [?]",
      "answer0": "300",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Chocolate is 9 units, strawberry is 1 unit, so the difference of 8 units = 240. 1 unit = 30 strawberry tarts. Total = 10 units = 30 x 10 = 300 tarts.",
      "hints": ["Let strawberry = 1 unit and chocolate = 9 units.", "The 8-unit difference equals 240."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 300. 9u-1u=8u=240, 1u=30, total 10u=300."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Joe took 1 h 25 min to complete his painting. He finished his painting at 1:10pm. What time did Joe start painting? Give your answer in 24-h clock. [?]",
      "answer0": "1145",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 3,
      "explanation": "Finish time 1:10 pm = 1310. Subtract 1 h 25 min: 1310 - 1 h = 1210, then - 25 min = 1145.",
      "hints": ["Convert 1:10 pm to 24-hour time first (1310).", "Subtract 1 h 25 min."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 11 45 (1145). 1310 - 1h25min = 1145."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Jeya collected 2540 bottle caps. He collected 1230 more bottle caps than Hansel. How many bottle caps did they collect altogether? [?]",
      "answer0": "3850",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Hansel = 2540 - 1230 = 1310. Altogether = 2540 + 1310 = 3850 bottle caps.",
      "hints": ["Find Hansel's amount first: 2540 - 1230.", "Add Jeya's and Hansel's amounts."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q33",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 3850. Hansel 1310; 2540 + 1310 = 3850."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "In a tin, there are 482 blue, green and yellow marbles altogether. There are three times as many blue marbles as green marbles. There are 42 yellow marbles. How many blue marbles are there in the tin? [?]",
      "answer0": "330",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Blue + green = 482 - 42 = 440. Blue is 3 units and green is 1 unit, so 4 units = 440, 1 unit = 110. Blue = 3 x 110 = 330.",
      "hints": ["Remove the 42 yellow marbles to get blue + green = 440.", "Blue:green = 3:1, so 4 units = 440."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q34",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 330. 440/4 = 110; blue = 330."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "Li Ming had 432 pears. He put them into 6 equal bags. He gave 2 bags to Ali. How many pears had Li Ming left? [?]",
      "answer0": "288",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Each bag has 432 / 6 = 72 pears. He gave away 2 bags = 72 x 2 = 144 pears. Left = 432 - 144 = 288.",
      "hints": ["Find how many pears are in one bag.", "He gave away 2 bags; subtract that from 432."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 288. 432/6 = 72; gave 144; 432-144 = 288."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Notebooks are sold in a shop as shown. 1 notebook for $2.80; 3 notebooks for $8. Mr Muthu bought 14 notebooks. What was the least amount of money he needed to pay for all the notebooks? Ans: [?]",
      "answer0": "$37.60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "Buy as many 3-for-$8 packs as possible: four packs = 12 notebooks for 4 x $8 = $32. The remaining 2 notebooks cost 2 x $2.80 = $5.60. Total = $32 + $5.60 = $37.60.",
      "hints": ["The 3-for-$8 deal is cheaper per notebook than $2.80 each.", "Use 4 packs (12 books) then buy 2 single notebooks."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q36",
      "image_needed": true,
      "image_page": 20,
      "image_loc": "top of page, two price-tag boxes ('1 notebook for $2.80' and '3 notebooks for $8') with notebook drawings",
      "image_options": false,
      "image_file": "q36.png",
      "notes": "Key = $37.60. 4 packs (12) at $8 = $32; 2 singles at $2.80 = $5.60; total $37.60. Pricing transcribed into stem."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "The figure is made up of 5 identical rectangular tiles. Find the area of 1 tile. [?]",
      "answer0": "75 cm2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 3,
      "explanation": "The full figure is 25 cm wide. The 5 identical tiles arrange so the width gives one tile's breadth = 25 / 5 = 5 cm and length = 5 x 3 = 15 cm. Area of 1 tile = 15 x 5 = 75 cm2.",
      "hints": ["Use the 25 cm overall width to find one tile's short side.", "Area of a rectangle = length x breadth."],
      "source": "Nan Hua 2023 P3 End of Year Exam Q37",
      "image_needed": true,
      "image_page": 21,
      "image_loc": "top of page, large rectangle divided into 5 identical tiles, overall width labelled 25 cm",
      "image_options": false,
      "image_file": "q37.png",
      "notes": "Key = 75 cm2. Working: 25/5 = 5 cm; 5 x 3 = 15 cm; 15 x 5 = 75 cm2."
    }
  ]
}