{
  "paper": {
    "school": "Nanyang Primary School",
    "year": 2024,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Nanyang 2024 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is three thousand, six hundred and six written as a numeral?",
      "answer0": "3066",
      "answer1": "3366",
      "answer2": "3606",
      "answer3": "3660",
      "correct_answer": 2,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Three thousand = 3000, six hundred = 600, six = 6. So 3000 + 600 + 6 = 3606.",
      "hints": ["Break the words into thousands, hundreds, tens and ones.", "There are no tens, so put 0 in the tens place: 3606."],
      "source": "Nanyang 2024 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: option (3) = 3606."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is the missing number in the equation below?\n7023 = 7000 + [?] + 3",
      "answer0": "203",
      "answer1": "200",
      "answer2": "23",
      "answer3": "20",
      "correct_answer": 3,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "7023 = 7000 + 20 + 3. The missing number is 20 (the tens place).",
      "hints": ["7023 in place value is 7000 + 0 + 20 + 3.", "Subtract: 7023 - 7000 - 3 = 20."],
      "source": "Nanyang 2024 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: option (4) = 20."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Arrange the fractions in order from the greatest to the smallest.\n1/2 , 2/8 , 5/7",
      "answer0": "5/7 , 1/2 , 2/8",
      "answer1": "5/7 , 2/8 , 1/2",
      "answer2": "2/8 , 1/2 , 5/7",
      "answer3": "2/8 , 5/7 , 1/2",
      "correct_answer": 0,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "5/7 is more than half; 1/2 = 0.5; 2/8 = 1/4 is less than half. Greatest to smallest: 5/7, 1/2, 2/8.",
      "hints": ["Compare each fraction to one half.", "5/7 > 1/2 > 1/4 (=2/8)."],
      "source": "Nanyang 2024 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: option (1). Options are text fraction sequences (Greatest..Smallest)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Express 2080 g in kilograms and grams.",
      "answer0": "2 kg 8 g",
      "answer1": "2 kg 80 g",
      "answer2": "20 kg 8 g",
      "answer3": "20 kg 80 g",
      "correct_answer": 1,
      "skill_id": 86,
      "difficulty_id": 1,
      "explanation": "1 kg = 1000 g. 2080 g = 2000 g + 80 g = 2 kg 80 g.",
      "hints": ["1 kg = 1000 g.", "2080 g = 2 kg and the remaining 80 g."],
      "source": "Nanyang 2024 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: option (2) = 2 kg 80 g."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Each square has an area of 1 square unit.\nWhat is the area of the figure?",
      "answer0": "23 square units",
      "answer1": "21 square units",
      "answer2": "19 square units",
      "answer3": "18 square units",
      "correct_answer": 1,
      "skill_id": 95,
      "difficulty_id": 2,
      "explanation": "Count whole squares and combine the half/triangular squares formed by the slanted edge; the total area is 21 square units.",
      "hints": ["Count the full squares first.", "Pair up the partial (triangle) squares to make whole units."],
      "source": "Nanyang 2024 P3 End of Year Exam Q5",
      "image_needed": true,
      "image_options": false,
      "image_page": 5,
      "image_loc": "top of page, below the question; figure drawn on a square grid with 1 unit markings",
      "image_file": "q5.png",
      "notes": "Key: option (2) = 21 square units. Figure required (grid shape)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "What is the missing denominator?\n3/5 = 9/[?]",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 80,
      "difficulty_id": 1,
      "explanation": "Numerator 3 multiplied by 3 gives 9, so multiply denominator 5 by 3: 5 x 3 = 15.",
      "hints": ["3 x 3 = 9, so do the same to the denominator.", "5 x 3 = 15."],
      "source": "Nanyang 2024 P3 End of Year Exam Q6",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 15."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Express 14/35 in its simplest form.",
      "answer0": "2/5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "Divide numerator and denominator by 7: 14 ÷ 7 = 2, 35 ÷ 7 = 5, giving 2/5.",
      "hints": ["Find a common factor of 14 and 35.", "Both divide by 7."],
      "source": "Nanyang 2024 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 2/5."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "How many acute angles are there in the figure?",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "The figure has two angles smaller than a right angle (acute); the rest are right or larger. Count = 2.",
      "hints": ["An acute angle is smaller than a right angle.", "Check each vertex against a right angle."],
      "source": "Nanyang 2024 P3 End of Year Exam Q8",
      "image_needed": true,
      "image_options": false,
      "image_page": 6,
      "image_loc": "middle of page, below the question; irregular polygon with angle marks",
      "image_file": "q8.png",
      "notes": "Key: 2 acute angles. Figure required (polygon with marked angles)."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Find the perimeter of the square.\n9 cm",
      "answer0": "36",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 96,
      "difficulty_id": 1,
      "explanation": "A square has 4 equal sides. Perimeter = 9 + 9 + 9 + 9 = 36 cm (9 x 4 = 36).",
      "hints": ["All sides of a square are equal.", "Perimeter = 4 x side length."],
      "source": "Nanyang 2024 P3 End of Year Exam Q9",
      "image_needed": true,
      "image_options": false,
      "image_page": 7,
      "image_loc": "top of page, below the question; a square labelled 9 cm on one side",
      "image_file": "q9.png",
      "notes": "Key: 36 cm. Answer line gives unit cm. Figure shows a square with side 9 cm."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The length of a rectangular grass patch is 8 m. Its breadth is 7 m. What is the area of the grass patch?",
      "answer0": "56",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 1,
      "explanation": "Area of rectangle = length x breadth = 8 x 7 = 56 m².",
      "hints": ["Area of a rectangle = length x breadth.", "8 x 7 = 56."],
      "source": "Nanyang 2024 P3 End of Year Exam Q10",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 56 m². Answer line gives unit m squared."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Write the time 00 10 in 12-hour clock.",
      "answer0": "12:10 am",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 89,
      "difficulty_id": 2,
      "explanation": "00 10 (24-hour) is 10 minutes after midnight, which is 12:10 am in 12-hour clock.",
      "hints": ["00 00 is midnight = 12 am.", "Add 10 minutes: 12:10 am."],
      "source": "Nanyang 2024 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 12:10 am (after midnight). 24-hour clock topic appears in P4 syllabus; closest P3 skill is time-telling (89)."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Axel started to cycle at 11 30. He finished cycling at 13 17. How long did he cycle?\n[?] h [?] min",
      "answer0": "1",
      "answer1": "47",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "From 11 30 to 13 00 is 1 h 30 min; from 13 00 to 13 17 is 17 min. Total = 1 h 30 min + 17 min = 1 h 47 min.",
      "hints": ["Count up to the next hour first.", "1 h 30 min + 17 min = 1 h 47 min."],
      "source": "Nanyang 2024 P3 End of Year Exam Q12",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 1 h 47 min. Answer line is split into h and min blanks."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "There are 3 bags, A, B and C. All the pens in each bag are put into groups of 6.\nBag A has 36 pens. It contains the least number of pens. The number of pens in Bag B is between 45 and 50. Bag C has fewer pens than Bag B. How many pens are there in Bag C?",
      "answer0": "42",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 73,
      "difficulty_id": 3,
      "explanation": "Pens form groups of 6, so each bag is a multiple of 6. Bag B is between 45 and 50, so Bag B = 48. Bag C is fewer than 48 but more than Bag A (36, the least), so Bag C = 42.",
      "hints": ["Each total must be a multiple of 6.", "Bag B (45-50) = 48; Bag C is between 36 and 48, so 42."],
      "source": "Nanyang 2024 P3 End of Year Exam Q13",
      "image_needed": true,
      "image_options": false,
      "image_page": 8,
      "image_loc": "middle of page, three bag drawings labelled Bag A, Bag B, Bag C",
      "image_file": "q13.png",
      "notes": "Key: 42. Multiples of 6 reasoning. Decorative bag figures."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Look at the number patterns. Find the missing number in each number pattern.\n(a) 3699 , 3709 , 3809 , 3819 , 3919 , 3929 , [?] , 4039 , 4139\n(b) [?] , 7489 , 7539 , 7589 , 7639 , 7689",
      "answer0": "4029",
      "answer1": "7439",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "(a) Pattern alternates +10, +100: 3929 + 100 = 4029. (b) Pattern increases by 50: 7489 - 50 = 7439.",
      "hints": ["(a) Look at the alternating +10 then +100 steps.", "(b) Each term increases by 50; go backwards 50 from 7489."],
      "source": "Nanyang 2024 P3 End of Year Exam Q14",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: (a) 4029, (b) 7439. Two blanks in order: answer0=a, answer1=b."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "(a) Find the sum of 560 and 1320.\n(b) 8001 - [?] = 2417",
      "answer0": "1880",
      "answer1": "5584",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 2,
      "explanation": "(a) 560 + 1320 = 1880. (b) 8001 - 2417 = 5584.",
      "hints": ["(a) Add the two numbers.", "(b) The missing number = 8001 - 2417."],
      "source": "Nanyang 2024 P3 End of Year Exam Q15",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: (a) 1880, (b) 5584. Two parts: answer0=a, answer1=b."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "(a) Michelle bought 5 trays of eggs. Each tray had 8 eggs. How many eggs did Michelle buy altogether?\n(b) Michelle used 4 eggs to bake each cake. How many cakes could she bake with all the eggs that she bought?",
      "answer0": "40",
      "answer1": "10",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "(a) 5 x 8 = 40 eggs. (b) 40 ÷ 4 = 10 cakes.",
      "hints": ["(a) Multiply trays by eggs per tray.", "(b) Divide total eggs by 4."],
      "source": "Nanyang 2024 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: (a) 40, (b) 10. Two parts: answer0=a, answer1=b."
    },
    {
      "n": 17,
      "type_id": 1,
      "question": "Look at the figure. AB, BC, CD, DE and EF are straight lines. Name a pair of parallel lines.",
      "answer0": "AB and EF",
      "answer1": "AB and CD",
      "answer2": "BC and DE",
      "answer3": "CD and EF",
      "correct_answer": 0,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "On the grid, AB and EF have the same slant direction and never meet, so they are parallel.",
      "hints": ["Parallel lines have the same slant and never cross.", "Compare AB with EF on the grid."],
      "source": "Nanyang 2024 P3 End of Year Exam Q17",
      "image_needed": true,
      "image_options": false,
      "image_page": 10,
      "image_loc": "middle of page, zig-zag line figure A-B-C-D-E-F drawn on a square grid",
      "image_file": "q17.png",
      "notes": "Open-response in paper (name a pair); converted part (a) to MCQ with line-pair options since answers are names not values. Key: AB and EF. Part (b) perpendicular handled as Q17b below."
    },
    {
      "n": "17b",
      "type_id": 1,
      "question": "Look at the figure. AB, BC, CD, DE and EF are straight lines. Name a pair of perpendicular lines.",
      "answer0": "AB and EF",
      "answer1": "BC and CD",
      "answer2": "AB and BC",
      "answer3": "DE and EF",
      "correct_answer": 1,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "BC and CD meet at C at a right angle, so they are perpendicular.",
      "hints": ["Perpendicular lines meet at a right angle.", "Look at the corner at point C."],
      "source": "Nanyang 2024 P3 End of Year Exam Q17",
      "image_needed": true,
      "image_options": false,
      "image_page": 10,
      "image_loc": "middle of page, zig-zag line figure A-B-C-D-E-F drawn on a square grid",
      "image_file": "q17.png",
      "notes": "Part (b) of Q17, split into its own MCQ. Key: BC and CD. Shares figure q17.png."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Cheva formed 2 different numbers using the digit cards. Each digit can only be used once for each number. The digit cards are 8, 3, 9, 0 and 1.\n(a) For the first number, he formed the smallest 4-digit odd number. What number did he form?\n(b) For the second number, he formed the greatest 3-digit even number between 800 and 900. What number did he form?",
      "answer0": "1039",
      "answer1": "890",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 3,
      "explanation": "(a) Smallest 4-digit odd: can't start with 0; smallest leading digit is 1, then smallest digits, ending in an odd digit: 1039 (ends in 9). (b) Between 800-900 means starts with 8; greatest even using remaining digits ending in 0: 890.",
      "hints": ["(a) The number can't start with 0, and an odd number ends in an odd digit.", "(b) Must start with 8 and be even (ends in an even digit)."],
      "source": "Nanyang 2024 P3 End of Year Exam Q18",
      "image_needed": true,
      "image_options": false,
      "image_page": 9,
      "image_loc": "top of page, five digit cards showing 8, 3, 9, 0, 1",
      "image_file": "q18.png",
      "notes": "Key: (a) 1039, (b) 890. Digit cards shown as figure. Two parts: answer0=a, answer1=b."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "A wallet costs $56.90. A water bottle costs $12.50 less than the wallet. How much does the water bottle cost?",
      "answer0": "44.40",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "$56.90 - $12.50 = $44.40.",
      "hints": ["'$12.50 less' means subtract.", "$56.90 - $12.50 = $44.40."],
      "source": "Nanyang 2024 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: $44.40. Answer line prefixed with $."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Look at the number lines. Find the difference between B and A.",
      "answer0": "1/8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 3,
      "explanation": "Top line is divided into 8 equal parts: A = 3/8. Bottom line is divided into 2 equal parts: B = 1/2 = 4/8. Difference B - A = 4/8 - 3/8 = 1/8.",
      "hints": ["Find what fraction A and B each represent.", "A = 3/8, B = 1/2 = 4/8, so difference = 1/8."],
      "source": "Nanyang 2024 P3 End of Year Exam Q20",
      "image_needed": true,
      "image_options": false,
      "image_page": 12,
      "image_loc": "top of page, two number lines from 0 to 1; A marked on the upper (eighths) line, B on the lower (halves) line",
      "image_file": "q20.png",
      "notes": "Key: 1/8 (or equivalent). Two number lines figure required."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Li Meng started doing her homework at 14 30. She took 1 h to write an English composition. She then took another 1 h 35 min to solve some word problems. What time did she complete her homework?",
      "answer0": "5:05 pm",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "14 30 + 1 h = 15 30; 15 30 + 1 h = 16 30; 16 30 + 35 min = 17 05, which is 5:05 pm.",
      "hints": ["Add the durations to the start time step by step.", "17 05 in 12-hour clock is 5:05 pm."],
      "source": "Nanyang 2024 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 17 05 / 5:05 pm. Stored answer as 5:05 pm (12-hour). 24-hour form 17 05 also accepted in key."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "There were some students in the library at first. 18 students left the library. 13 students then went into the library. In the end, there were 312 students left in the library. How many students were there in the library at first?",
      "answer0": "317",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Work backwards: 312 - 13 = 299 (before the 13 entered); 299 + 18 = 317 (before the 18 left). So 317 students at first.",
      "hints": ["Work backwards from the final 312.", "312 - 13 = 299, then 299 + 18 = 317."],
      "source": "Nanyang 2024 P3 End of Year Exam Q22",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 317."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Joey has 76 sweets. She packs all the sweets into bags of 3 sweets or bags of 5 sweets. She has 20 bags of sweets after packing. How many bags of 3 sweets are there?",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Suppose all 20 bags held 5 sweets: 20 x 5 = 100. That is 100 - 76 = 24 too many. Each bag of 3 instead of 5 reduces the count by 2, so 24 ÷ 2 = 12 bags of 3 sweets.",
      "hints": ["Assume all 20 bags hold 5 sweets and compare to 76.", "Each swap from a 5-bag to a 3-bag removes 2 sweets."],
      "source": "Nanyang 2024 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 12 (bags of 3). Check: 12 bags of 3 = 36, 8 bags of 5 = 40, total 76 in 20 bags."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "The bar graph shows the number of egg sandwiches and tuna sandwiches sold at Nanyang Cafe from Monday to Thursday.\n(a) How many more tuna sandwiches than egg sandwiches were sold on Tuesday?\n(b) Which day had the greatest difference in the number of egg sandwiches and tuna sandwiches sold?\n(c) The cafe sold each egg sandwich for $2. What was the total amount collected from the sale of egg sandwiches on Wednesday and Thursday?",
      "answer0": "35",
      "answer1": "Monday",
      "answer2": "240",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "(a) Tuesday tuna = 80, egg = 45; 80 - 45 = 35. (b) Monday has the greatest gap between egg and tuna bars. (c) Egg sandwiches Wed = 50, Thu = 70; total 120; 120 x $2 = $240.",
      "hints": ["(a) Read the Tuesday tuna and egg bars, then subtract.", "(c) Add Wed and Thu egg sandwiches, then multiply by $2."],
      "source": "Nanyang 2024 P3 End of Year Exam Q24",
      "image_needed": true,
      "image_options": false,
      "image_page": 14,
      "image_loc": "upper half of page, horizontal bar graph titled 'Number of sandwiches sold at Nanyang Cafe' with Mon-Thu on y-axis and a Tuna/Egg legend",
      "image_file": "q24.png",
      "notes": "Key: (a) 35, (b) Monday, (c) $240. Three parts: answer0=a, answer1=b (word -> stored as text), answer2=c. Bar graph figure required."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Ali had 128 more stickers than Bala at first. Ali gave 25 stickers to Bala. How many more stickers did Ali have than Bala in the end?",
      "answer0": "78",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Giving 25 to Bala reduces the gap by 25 twice (Ali loses 25, Bala gains 25), i.e. 25 + 25 = 50. New difference = 128 - 50 = 78.",
      "hints": ["When Ali gives stickers to Bala, the gap closes by twice the amount.", "128 - (25 + 25) = 78."],
      "source": "Nanyang 2024 P3 End of Year Exam Q25",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 78. [3 marks]."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "There was a total of 756 visitors at the zoo. There were 3 times as many children as adults. How many more children than adults were there?",
      "answer0": "378",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Children + adults = 4 units = 756, so 1 unit (adults) = 756 ÷ 4 = 189. Children = 3 units = 567. Difference = 567 - 189 = 378 (or 2 units = 189 x 2 = 378).",
      "hints": ["Children = 3 units, adults = 1 unit, total = 4 units = 756.", "Difference is 2 units = 2 x 189."],
      "source": "Nanyang 2024 P3 End of Year Exam Q26",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: 378. [3 marks]."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "A total of 382 packets of biscuits were collected for a donation drive on Saturday and Sunday. These biscuits collected were given to families. Each family was given 6 packets of biscuits.\n(a) What was the greatest number of families that received the biscuits?\n(b) 22 more packets of biscuits were collected on Sunday than on Saturday. How many packets of biscuits were collected on Saturday?",
      "answer0": "63",
      "answer1": "180",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "(a) 382 ÷ 6 = 63 remainder 4, so the greatest number of families is 63. (b) 382 - 22 = 360; 360 ÷ 2 = 180 packets on Saturday.",
      "hints": ["(a) Divide 382 by 6 and take the whole-number quotient.", "(b) Remove the extra 22, halve the rest for Saturday."],
      "source": "Nanyang 2024 P3 End of Year Exam Q27",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: (a) 63, (b) 180. Two parts: answer0=a, answer1=b."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "A pail contains 5320 ml of water. Meera poured away 4470 ml of water from the pail.\n(a) How much water was left in the pail?\n(b) Meera poured all the water left in the pail equally into 5 identical empty jugs. How much water did she pour into each jug?",
      "answer0": "850 ml",
      "answer1": "170 ml",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "(a) 5320 - 4470 = 850 ml left. (b) 850 ÷ 5 = 170 ml in each jug.",
      "hints": ["(a) Subtract the amount poured away.", "(b) Divide the remaining 850 ml by 5."],
      "source": "Nanyang 2024 P3 End of Year Exam Q28",
      "image_needed": false,
      "image_options": false,
      "image_page": null,
      "image_loc": null,
      "image_file": null,
      "notes": "Key: (a) 850 ml, (b) 170 ml. Two parts: answer0=a, answer1=b."
    }
  ]
}
