{
  "paper": {
    "school": "Methodist Girls' School (Primary)",
    "year": 2023,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Methodist Girls 2023 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Two thousand, three hundred and seventy written as numerals is [?].",
      "answer0": "2037",
      "answer1": "2307",
      "answer2": "2317",
      "answer3": "2370",
      "correct_answer": 3,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Two thousand = 2000, three hundred = 300, seventy = 70. 2000 + 300 + 70 = 2370.",
      "hints": ["Break the words into thousands, hundreds, tens and ones.", "There are no ones, so the last digit is 0."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (0-based 3)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "4059 is the same as [?].",
      "answer0": "400 + 50 + 9",
      "answer1": "4000 + 50 + 9",
      "answer2": "4000 + 500 + 9",
      "answer3": "4000 + 5000 + 9",
      "correct_answer": 1,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "4059 = 4 thousands + 0 hundreds + 5 tens + 9 ones = 4000 + 50 + 9.",
      "hints": ["Identify the place value of each digit.", "The 5 is in the tens place, so it is worth 50."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (0-based 1)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "In 6258, the digit [?] is in the thousands place.",
      "answer0": "5",
      "answer1": "2",
      "answer2": "6",
      "answer3": "8",
      "correct_answer": 2,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 6258, reading from the left the first digit 6 is in the thousands place.",
      "hints": ["The thousands place is the leftmost digit of a 4-digit number.", "6258 = 6 thousands, 2 hundreds, 5 tens, 8 ones."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (0-based 2)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "4337 + 2945 = [?]",
      "answer0": "6272",
      "answer1": "6282",
      "answer2": "7282",
      "answer3": "8272",
      "correct_answer": 2,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "4337 + 2945 = 7282.",
      "hints": ["Add the ones, tens, hundreds and thousands in columns.", "Remember to carry over when a column total is 10 or more."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (0-based 2)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "5501, 5101, 4701, [?], 3901, 3501\nWhat is the missing number in the pattern?",
      "answer0": "4501",
      "answer1": "4301",
      "answer2": "4201",
      "answer3": "4101",
      "correct_answer": 1,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "The numbers decrease by 400 each time: 4701 - 400 = 4301.",
      "hints": ["Find the difference between consecutive numbers.", "Each term is 400 less than the one before it."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (0-based 1)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "How many whole numbers between 30 and 50 can be divided exactly by 7?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "Multiples of 7 between 30 and 50 are 35, 42 and 49, so there are 3.",
      "hints": ["List the multiples of 7: 7, 14, 21, 28, 35, 42, 49.", "Count only those greater than 30 and less than 50."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (0-based 2)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Write 6 km 24 m in metres.",
      "answer0": "624 m",
      "answer1": "6024 m",
      "answer2": "6204 m",
      "answer3": "6240 m",
      "correct_answer": 1,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "1 km = 1000 m, so 6 km = 6000 m. 6000 m + 24 m = 6024 m.",
      "hints": ["Convert the kilometres to metres first (1 km = 1000 m).", "Then add the extra 24 m."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (0-based 1)."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Express 8/12 in its simplest form.",
      "answer0": "2/3",
      "answer1": "1/3",
      "answer2": "1/4",
      "answer3": "1/6",
      "correct_answer": 0,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "Divide numerator and denominator by 4: 8/12 = 2/3.",
      "hints": ["Find the highest common factor of 8 and 12.", "Both 8 and 12 can be divided by 4."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (0-based 0)."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The figure is drawn on a square grid.\nHow many of the marked angles are obtuse angles?",
      "answer0": "5",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Of the four marked angles in the quadrilateral, three are obtuse (greater than a right angle).",
      "hints": ["An obtuse angle is larger than a right angle (90 degrees) but smaller than a straight angle.", "Compare each marked angle with the corner of the grid square."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q9",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "top of page, below the question stem — quadrilateral with marked angles drawn on a square grid",
      "image_options": false,
      "image_file": "q9.png",
      "notes": "Key: option 3 (0-based 2), i.e. 3 obtuse angles. Count to verify against figure."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "John started his dinner at the time shown on the clock.\nThe clock was 30 minutes fast.\nWhat was the actual time?",
      "answer0": "15 30",
      "answer1": "16 30",
      "answer2": "17 30",
      "answer3": "18 30",
      "correct_answer": 2,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "The clock shows 6 o'clock (18 00). It is 30 min fast, so the actual time is 18 00 - 30 min = 17 30.",
      "hints": ["Read the time shown on the clock first.", "Since the clock is fast, the real time is earlier — subtract 30 minutes."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q10",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "middle of page, below the question — analogue clock face showing 6 o'clock",
      "image_options": false,
      "image_file": "q10.png",
      "notes": "Key: option 3 (0-based 2). Clock shows 6 o'clock; subtract 30 min -> 17 30."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "The figure is drawn in a square grid. AC is a straight line.\nWhich two lines are parallel to each other?",
      "answer0": "AB and BE",
      "answer1": "AE and CD",
      "answer2": "BC and ED",
      "answer3": "BE and CD",
      "correct_answer": 3,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "On the grid, BE and CD run in the same direction and never meet, so they are parallel.",
      "hints": ["Parallel lines are always the same distance apart and never meet.", "Compare the slope of each pair of lines on the grid."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q11",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "lower half of page, below the question — figure with points A, B, C, D, E on a square grid",
      "image_options": false,
      "image_file": "q11.png",
      "notes": "Key: option 4 (0-based 3)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "8 x 6 = [?] ÷ 2\nWhat is the missing number in the box?",
      "answer0": "24",
      "answer1": "48",
      "answer2": "50",
      "answer3": "96",
      "correct_answer": 3,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "8 x 6 = 48. The missing number ÷ 2 = 48, so the number is 48 x 2 = 96.",
      "hints": ["Work out 8 x 6 first.", "If the box ÷ 2 equals 48, multiply 48 by 2 to find the box."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (0-based 3)."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "Which one of the following statements is true?",
      "answer0": "1/4 > 1/2",
      "answer1": "5/6 > 1/2",
      "answer2": "3/12 < 1/4",
      "answer3": "2/3 < 1/4",
      "correct_answer": 1,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "5/6 is more than half (3/6), so 5/6 > 1/2 is true. The other statements are false.",
      "hints": ["Compare each fraction to 1/2.", "3/12 simplifies to 1/4, so 3/12 < 1/4 is false."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (0-based 1)."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "2/8 + 1/12 = [?]",
      "answer0": "1/3",
      "answer1": "1/6",
      "answer2": "3/12",
      "answer3": "3/20",
      "correct_answer": 0,
      "skill_id": 81,
      "difficulty_id": 3,
      "explanation": "2/8 = 1/4 = 3/12. 3/12 + 1/12 = 4/12 = 1/3.",
      "hints": ["Simplify 2/8 to 1/4 first.", "Change both fractions to twelfths before adding."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (0-based 0)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Mrs Lee bought a scarf and a blouse.\nShe had $5 left in her purse. How much money did she have at first?",
      "answer0": "$25.80",
      "answer1": "$46.60",
      "answer2": "$51.60",
      "answer3": "$56.60",
      "correct_answer": 3,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Scarf $15.40 + Blouse $36.20 = $51.60. Add the $5 left: $51.60 + $5 = $56.60.",
      "hints": ["Add the cost of the scarf and the blouse.", "Then add the $5 she still had."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q15",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "middle of page, below the question — scarf labelled $15.40 and blouse labelled $36.20",
      "image_options": false,
      "image_file": "q15.png",
      "notes": "Key: option 4 (0-based 3). Prices: Scarf $15.40, Blouse $36.20 shown in figure."
    },
    {
      "n": 16,
      "type_id": 1,
      "question": "The bar graph shows the number of stickers that 4 girls have.\nHow many fewer stickers does Elly have than Betsy?",
      "answer0": "11",
      "answer1": "12",
      "answer2": "15",
      "answer3": "16",
      "correct_answer": 1,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Betsy has 28 and Elly has 16. 28 - 16 = 12.",
      "hints": ["Read Elly's and Betsy's bars from the graph.", "Subtract Elly's value from Betsy's value."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q16",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "lower half of page, below the question — horizontal bar graph 'Girls Who Collect Stickers' (Elly, Cathy, Betsy, Sally)",
      "image_options": false,
      "image_file": "q16.png",
      "notes": "Key: option 2 (0-based 1). Elly 16, Betsy 28 from graph."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "1000 more than [?] is 4729.",
      "answer0": "3729",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "4729 - 1000 = 3729.",
      "hints": ["1000 more means add 1000, so work backwards by subtracting.", "4729 - 1000 = 3729."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3729."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Divide 472 by 8.",
      "answer0": "59",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "472 ÷ 8 = 59.",
      "hints": ["Use long division: how many 8s in 47?", "8 x 59 = 472."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 59."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Mr Lee slept at 23 25.\nGive the time he slept in 12-hour clock.\nInclude am or pm in your answer.",
      "answer0": "11.25 pm",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "23 25 in 24-hour clock is after noon. 23 - 12 = 11, so it is 11.25 pm.",
      "hints": ["For times from 13 00 to 23 59, subtract 12 to get the 12-hour time.", "Times after noon use pm."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 11:25pm. Answer text grades by exact match; accepted forms include '11.25 pm'."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Write 3095 g in kilograms and grams.\n[?] kg [?] g",
      "answer0": "3",
      "answer1": "95",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 1,
      "explanation": "1 kg = 1000 g. 3095 g = 3000 g + 95 g = 3 kg 95 g.",
      "hints": ["1000 g make 1 kg.", "Split 3095 into thousands and the remainder."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3kg 95g. Two blanks (kg and g)."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Leon cycled for 5 km from Point P to Point Q.\nThen he took a bus for 2800 m from Point Q to Point R.\nWhat was the total distance covered by him in kilometres and metres?\n[?] km [?] m",
      "answer0": "7",
      "answer1": "800",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "2800 m = 2 km 800 m. 5 km + 2 km 800 m = 7 km 800 m.",
      "hints": ["Convert 2800 m to km and m (1000 m = 1 km).", "Add to the 5 km."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q21",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "upper-middle of page, below the question — winding path with points P, Q (5 km) and R (2800 m)",
      "image_options": false,
      "image_file": "q21.png",
      "notes": "Key: 7km 800m. Two blanks (km and m)."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "The shaded figure is made up of 1-cm squares.\nWhat is the area and perimeter of the shaded figure?\nArea = [?] cm² Perimeter = [?] cm",
      "answer0": "11",
      "answer1": "20",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 96,
      "difficulty_id": 2,
      "explanation": "Counting shaded squares gives an area of 11 cm². Counting the boundary edges gives a perimeter of 20 cm.",
      "hints": ["Area = count the number of shaded 1-cm squares.", "Perimeter = count the unit edges around the outside of the figure."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q22",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "middle of page, below the question — shaded rectilinear figure on a grid with 1 cm side labels",
      "image_options": false,
      "image_file": "q22.png",
      "notes": "Key: Area = 11 cm², Perimeter = 20 cm. Two blanks (area then perimeter). Verify count against figure."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "What is the difference between 5/12 and 1/6?\nGive your answer in its simplest form.",
      "answer0": "1/4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "1/6 = 2/12. 5/12 - 2/12 = 3/12 = 1/4.",
      "hints": ["Change 1/6 to twelfths.", "Subtract, then simplify 3/12."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3/12 = 1/4."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Arrange the fractions in order, beginning with the greatest.\n1/10, 3/5, 2/9, 2/4\n[?] (greatest), [?], [?], [?]",
      "answer0": "3/5",
      "answer1": "2/4",
      "answer2": "2/9",
      "answer3": "1/10",
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 3,
      "explanation": "As decimals: 3/5 = 0.6, 2/4 = 0.5, 2/9 ≈ 0.22, 1/10 = 0.1. Greatest to smallest: 3/5, 2/4, 2/9, 1/10.",
      "hints": ["Convert each fraction to a decimal to compare.", "Order from largest decimal to smallest."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering task -> FIB, one blank per position, greatest first. Key: 3/5, 2/4, 2/9, 1/10."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Using all the digits, form the greatest 4-digit odd number with the digit 3 in the tens place.\n2 4 7 3",
      "answer0": "4237",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 3,
      "explanation": "Tens digit must be 3. For an odd number the ones digit must be 7. Largest remaining digits go first: 4 then 2. So 4237.",
      "hints": ["Fix 3 in the tens place. An odd number ends in an odd digit (here 7).", "Place the largest leftover digits in the thousands and hundreds places."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q25",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "top of page, below the question — four digit cards showing 2, 4, 7, 3",
      "image_options": false,
      "image_file": "q25.png",
      "notes": "Key: 4237. Digit cards 2,4,7,3 shown as figure but listed in stem."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "There are 1374 adults in the concert hall.\nThere are 639 fewer children than adults.\nHow many children are there in the concert hall?",
      "answer0": "735",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "1374 - 639 = 735 children.",
      "hints": ["Fewer means subtract.", "1374 - 639 = 735."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q26",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 735."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "A fruit seller packs 280 apples into bags of 6.\nHow many apples are left unpacked?",
      "answer0": "4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "280 ÷ 6 = 46 remainder 4. So 4 apples are left unpacked.",
      "hints": ["Divide 280 by 6.", "The remainder is the number left unpacked."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 280 ÷ 6 = 46 R 4; answer 4."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "A storybook costs $40.15. It costs $17.65 less than a dictionary.\nWhat is the cost of the dictionary?\n$ [?]",
      "answer0": "57.80",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "The dictionary costs more, so add: $40.15 + $17.65 = $57.80.",
      "hints": ["The storybook is cheaper, so the dictionary costs more.", "$40.15 + $17.65 = $57.80."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $40.15 + $17.65 = $57.80."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "Compare the masses of the objects.\nHow much lighter is the bag of apples than the watermelon?\n[?] kg [?] g",
      "answer0": "4",
      "answer1": "750",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Watermelon = 5 kg, bag of apples = 250 g. 5000 g - 250 g = 4750 g = 4 kg 750 g.",
      "hints": ["Read each scale carefully (one is in kg, one is in g).", "Subtract the smaller mass from the larger and convert to kg and g."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q29",
      "image_needed": true,
      "image_page": 16,
      "image_loc": "top of page, below the question — two weighing scales: watermelon (kg scale) and a bag of apples (g scale)",
      "image_options": false,
      "image_file": "q29.png",
      "notes": "Key: 5000 - 250 = 4750 g = 4kg 750g. Watermelon 5 kg, apples 250 g read from scales. Two blanks."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "Fatimah and her family ate at a fast food restaurant.\nThe meal cost $33.25. She gave the cashier a $50 note.\nHow much change should she receive?\n$ [?]",
      "answer0": "16.75",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "$50.00 - $33.25 = $16.75.",
      "hints": ["Change = amount given - cost of meal.", "$50.00 - $33.25 = $16.75."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q30",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $50.00 - $33.25 = $16.75."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "Two containers of different sizes were filled with different amounts of water.\nJoan wanted to pour water from container A to container B so that container B would have 500 ml of water.\nWhat would be the volume of water left in container A?\n[?] ml",
      "answer0": "650",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Container B has 150 ml, so 500 - 150 = 350 ml must be poured from A. A has 800 ml; 800 - 350 = 650 ml left in A.",
      "hints": ["Find how much more water B needs to reach 500 ml.", "Subtract that amount from A's starting volume."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q31",
      "image_needed": true,
      "image_page": 17,
      "image_loc": "top of page, below the question — two measuring containers A (beaker, 800 ml) and B (jug, 150 ml)",
      "image_options": false,
      "image_file": "q31.png",
      "notes": "Key: 800 - 150 = 650 ml. A starts 800 ml, B starts 150 ml (read from figure)."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "What digit does each shape stand for?\n9 ◇ 2 × 7 = 6 ♡ 2 4\n◇ = [?], ♡ = [?]",
      "answer0": "3",
      "answer1": "5",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 3,
      "explanation": "9◇2 × 7 = 6♡24. Testing ◇ = 3: 932 × 7 = 6524, so ♡ = 5.",
      "hints": ["Write the multiplication as 9◇2 × 7 = 6♡24.", "Try digits for ◇ until the product matches 6_24."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q32",
      "image_needed": true,
      "image_page": 17,
      "image_loc": "lower half of page, below the question — vertical multiplication 9 ◇ 2 × 7 = 6 ♡ 2 4",
      "image_options": false,
      "image_file": "q32.png",
      "notes": "Key: ◇=3, ♡=5 (932 × 7 = 6524). Two blanks. Multiplication shown as a figure."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "John placed some balloons at an equal distance from each other.\nThe distance between the 3rd and the 7th balloon is 92 cm.\nWhat is the distance between each balloon?\n[?] cm",
      "answer0": "23",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "From the 3rd to the 7th balloon there are 7 - 3 = 4 equal gaps. 92 ÷ 4 = 23 cm.",
      "hints": ["Count the number of gaps between the 3rd and 7th balloons (not balloons).", "There are 4 gaps; divide 92 by 4."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q33",
      "image_needed": true,
      "image_page": 18,
      "image_loc": "upper part of page, below the question — line with 3rd and 7th balloons marked, 92 cm between them",
      "image_options": false,
      "image_file": "q33.png",
      "notes": "Key: 92 ÷ 4 = 23 cm."
    },
    {
      "n": 34,
      "type_id": 0,
      "question": "The bar graph shows the number of boys and girls at the school library from Monday to Friday last week. The scale on the vertical axis was torn off accidentally and could not be seen.\nBased on the information from the bar graph, tick True or False for the statements below.\na) There are three times as many girls as boys at the school library on Friday.\nb) More boys than girls visited the school library from Monday to Friday.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 102,
      "difficulty_id": 3,
      "explanation": "a) On Friday the girls' bar is about three times the boys' bar — True. b) Over the week the girls' bars total more than the boys' bars — False.",
      "hints": ["Compare the boys' and girls' bars for Friday.", "Add up all the boys' bars and all the girls' bars across the week."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q34",
      "image_needed": true,
      "image_page": 19,
      "image_loc": "upper-middle of page, below the question — dual bar graph (Boys/Girls, Mon–Fri) with torn vertical axis",
      "image_options": false,
      "image_file": "q34.png",
      "notes": "True/False tick task — no app type fits (type_id 0, skipped on insert). Key: a) True, b) False."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "A train arrived at Gardens MRT station with 1359 passengers.\n247 passengers alighted from the train and 498 passengers boarded the train.\nHow many passengers were there in the train when it left Gardens MRT station?",
      "answer0": "1610",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "1359 - 247 = 1112 stayed. 1112 + 498 boarded = 1610.",
      "hints": ["Subtract the passengers who alighted.", "Then add the passengers who boarded."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1359 - 247 = 1112; 1112 + 498 = 1610."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Mrs Tan started cleaning her house at 9.35 am.\nShe took 2 h 45 min to clean her house.\nThen she watched a television programme until 2 pm.\nHow long did she watch the television programme?\n[?] h [?] min",
      "answer0": "1",
      "answer1": "40",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 3,
      "explanation": "9.35 am + 2 h 45 min = 12.20 pm. From 12.20 pm to 2.00 pm is 1 h 40 min.",
      "hints": ["First find the time she finished cleaning.", "Then count from that time to 2 pm."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q36",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1h 40min. Two blanks (h and min)."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "Mr Rahim put up a fence around his rectangular garden.\nThe length of the garden is 10 m. Its breadth is 6 m.\nOne metre of fence cost $8.\nHow much did Mr Rahim pay for his fence?\n$ [?]",
      "answer0": "256",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 96,
      "difficulty_id": 3,
      "explanation": "Perimeter = 10 + 10 + 6 + 6 = 32 m. Cost = 32 x $8 = $256.",
      "hints": ["The fence goes round the garden — find the perimeter.", "Multiply the perimeter by $8."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q37",
      "image_needed": true,
      "image_page": 22,
      "image_loc": "upper part of page, below the question — rectangle labelled 10 m (length) and 6 m (breadth)",
      "image_options": false,
      "image_file": "q37.png",
      "notes": "Key: perimeter 32 m x $8 = $256."
    },
    {
      "n": 38,
      "type_id": 2,
      "question": "Mrs Soh had 13 packets of sweets. Each packet had the same number of sweets. She gave 12 pupils a packet each.\nFrom the remaining packet, she gave 7 sweets to each of the same pupils and there was no leftover.\nHow many sweets did each pupil get in the end?",
      "answer0": "91",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "The last packet split among 12 pupils at 7 each = 12 x 7 = 84 sweets per packet. Each pupil got one full packet (84) plus 7 = 91 sweets.",
      "hints": ["The remaining packet gives 7 sweets to each of 12 pupils, so a packet has 12 x 7 = 84 sweets.", "Each pupil's full packet (84) plus the extra 7 = 91."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q38",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: sweets per packet = 7 x 12 = 84; each pupil 84 + 7 = 91."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "A box of 4 muffins cost $9. Mrs Lim has $120.\nHow many boxes of muffins can she buy at most?",
      "answer0": "13",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "$120 ÷ $9 = 13 remainder $3, so she can buy at most 13 boxes.",
      "hints": ["Divide $120 by the price of one box.", "Ignore the remainder — she cannot buy a part box."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q39",
      "image_needed": true,
      "image_page": 23,
      "image_loc": "top-right of page, beside the question — basket of muffins with label '4 muffins for $9'",
      "image_options": false,
      "image_file": "q39.png",
      "notes": "Part (a) of a two-part question. Key (a): 120 ÷ 9 = 13 R3, answer 13. Part (b) recorded as Q40-style follow-up below; here only (a) is captured as the main item — see notes for (b)."
    },
    {
      "n": 40,
      "type_id": 2,
      "question": "Ali and Samad had 80 marbles altogether.\nAfter Ali gave 7 marbles to Samad, Ali had 4 times as many marbles as Samad.\nHow many marbles did Samad have in the end?",
      "answer0": "16",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Total stays 80. After giving, Ali = 4 units, Samad = 1 unit, 5 units = 80, 1 unit = 16. Samad had 16 in the end.",
      "hints": ["The total of 80 marbles does not change when they are passed between the two.", "After the swap Samad is 1 part and Ali is 4 parts, making 5 parts in all."],
      "source": "Methodist Girls 2023 P3 End of Year Exam Q40",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Part (a) of a two-part question. Key (a): 80 ÷ 5 = 16 (Samad in the end). Part (b): Samad at first = 16 - 7 = 9."
    }
  ]
}