{
  "paper": {
    "school": "St Hilda's Primary School",
    "year": 2025,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "St Hilda 2025 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In 7321, the digit 3 is in the [?] place.",
      "answer0": "ones",
      "answer1": "tens",
      "answer2": "hundreds",
      "answer3": "thousands",
      "correct_answer": 2,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "Read the place values of 7321: 7 thousands, 3 hundreds, 2 tens, 1 one. The digit 3 sits in the hundreds place.",
      "hints": ["List the place values from right to left: ones, tens, hundreds, thousands.", "Find which column the digit 3 occupies in 7321."],
      "source": "St Hilda 2025 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 = hundreds."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "7 thousands and 3 tens is the same as [?].",
      "answer0": "7300",
      "answer1": "7030",
      "answer2": "730",
      "answer3": "703",
      "correct_answer": 1,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "7 thousands = 7000 and 3 tens = 30. 7000 + 30 = 7030. There are 0 hundreds and 0 ones.",
      "hints": ["7 thousands = 7000.", "3 tens = 30, so add 7000 + 30."],
      "source": "St Hilda 2025 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 = 7030."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "[?] ÷ 9 = 28 R 5",
      "answer0": "224",
      "answer1": "247",
      "answer2": "252",
      "answer3": "257",
      "correct_answer": 3,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "To undo a division with remainder, multiply quotient by divisor then add the remainder: 28 × 9 = 252, then 252 + 5 = 257.",
      "hints": ["Number = quotient × divisor + remainder.", "Compute 28 × 9, then add 5."],
      "source": "St Hilda 2025 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 = 257. Stem shows a missing-number box dividing by 9; rendered as [?] inline."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Ali had 20 marbles. Ben had 3 times as many marbles as Ali. How many marbles did they have altogether?",
      "answer0": "23",
      "answer1": "40",
      "answer2": "60",
      "answer3": "80",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Ben = 3 × 20 = 60 marbles. Altogether = Ali + Ben = 20 + 60 = 80 marbles.",
      "hints": ["Find Ben's marbles: 3 × 20.", "Add Ali's 20 to Ben's amount."],
      "source": "St Hilda 2025 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 = 80."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "What is the value of 8 ten-cent coins and 3 twenty-cent coins?",
      "answer0": "$1.10",
      "answer1": "$1.40",
      "answer2": "$1.90",
      "answer3": "$2.20",
      "correct_answer": 1,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "8 ten-cent coins = 80 cents. 3 twenty-cent coins = 60 cents. Total = 80 + 60 = 140 cents = $1.40.",
      "hints": ["8 × 10¢ = 80¢ and 3 × 20¢ = 60¢.", "Add the cents and convert to dollars."],
      "source": "St Hilda 2025 P3 End of Year Exam Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 = $1.40."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "What is the amount of water shown in the container?",
      "answer0": "210 mℓ",
      "answer1": "250 mℓ",
      "answer2": "310 mℓ",
      "answer3": "350 mℓ",
      "correct_answer": 1,
      "skill_id": 84,
      "difficulty_id": 2,
      "explanation": "The beaker has major marks at every 100 mℓ (100, 200, 300...). The water level sits halfway between the 200 and 300 marks, reading 250 mℓ.",
      "hints": ["Each large gap on the scale is 100 mℓ.", "Read where the shaded water surface lines up between marks."],
      "source": "St Hilda 2025 P3 End of Year Exam Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 3,
      "image_bbox": [0.36, 0.27, 0.65, 0.46],
      "image_loc": "measuring beaker with mL scale, upper-middle of page",
      "notes": "Key: option 2 = 250 mL. Figure is the beaker with the shaded water level."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "What is the missing fraction in the box?\n1/4 + 3/8 = [?]",
      "answer0": "5/8",
      "answer1": "4/12",
      "answer2": "8/12",
      "answer3": "3/32",
      "correct_answer": 0,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "Make like denominators: 1/4 = 2/8. Then 2/8 + 3/8 = 5/8.",
      "hints": ["Convert 1/4 to eighths.", "Add the numerators over the common denominator 8."],
      "source": "St Hilda 2025 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 = 5/8. Fractions are inline text, not images."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Which of the following figures has only acute angles?",
      "answer0": "Rectangle",
      "answer1": "Pentagon",
      "answer2": "Triangle",
      "answer3": "Diamond / square (tilted)",
      "correct_answer": 2,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Acute angles are smaller than a right angle. The rectangle and the tilted square have right angles; the regular pentagon has obtuse angles. Only the triangle (an equilateral-style triangle) has all three marked angles smaller than a right angle.",
      "hints": ["An acute angle is less than 90°.", "Check each figure: which one has every marked corner smaller than a right angle?"],
      "source": "St Hilda 2025 P3 End of Year Exam Q8",
      "image_needed": true,
      "image_options": true,
      "image_file": null,
      "image_page": 4,
      "image_bbox": [0.30, 0.16, 0.58, 0.78],
      "image_loc": "four labelled option figures (rectangle, pentagon, triangle, tilted square) stacked down the page",
      "notes": "Key: option 3 = the triangle. image_options true: crop each option to q8_opt0.png..q8_opt3.png. opt0 rectangle ~[0.30,0.16,0.56,0.27]; opt1 pentagon ~[0.32,0.28,0.52,0.42]; opt2 triangle ~[0.33,0.43,0.52,0.57]; opt3 tilted square ~[0.36,0.58,0.56,0.78]."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Name a pair of perpendicular lines in the figure.",
      "answer0": "AB and AC",
      "answer1": "AB and BC",
      "answer2": "AB and CD",
      "answer3": "AC and BC",
      "correct_answer": 1,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "Perpendicular lines meet at a right angle. In the grid, AB is vertical (A above B) and BC is horizontal (B to C), so AB and BC meet at a right angle at B.",
      "hints": ["Perpendicular lines form a 90° angle where they meet.", "Look for a vertical and a horizontal line that meet at a corner."],
      "source": "St Hilda 2025 P3 End of Year Exam Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 5,
      "image_bbox": [0.33, 0.13, 0.66, 0.33],
      "image_loc": "grid square with points A, B, C, D and a diagonal AC, upper-middle of page",
      "notes": "Key: option 2 = AB and BC."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "The bar graph shows the number of children who like different flavours of ice-cream. What was the least popular ice-cream flavour?",
      "answer0": "Oreo",
      "answer1": "Vanilla",
      "answer2": "Chocolate",
      "answer3": "Strawberry",
      "correct_answer": 3,
      "skill_id": 102,
      "difficulty_id": 1,
      "explanation": "The least popular flavour has the shortest bar. Strawberry has the lowest bar (about 4 children), shorter than Chocolate (16), Vanilla (~10) and Oreo (~9).",
      "hints": ["The least popular flavour is the shortest bar.", "Compare bar heights to find the smallest."],
      "source": "St Hilda 2025 P3 End of Year Exam Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.26, 0.47, 0.84, 0.71],
      "image_loc": "bar graph 'Ice-cream Flavours', middle of page",
      "notes": "Key: option 4 = Strawberry."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "7681 = 7 thousands + 6 hundreds + [?] ones",
      "answer0": "1",
      "answer1": "8",
      "answer2": "80",
      "answer3": "81",
      "correct_answer": 3,
      "skill_id": 66,
      "difficulty_id": 2,
      "explanation": "7 thousands + 6 hundreds = 7600. 7681 − 7600 = 81 ones.",
      "hints": ["7 thousands + 6 hundreds = 7600.", "Subtract 7600 from 7681 to find the ones."],
      "source": "St Hilda 2025 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 = 81."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "The difference between two numbers is 1937. The greater number is 7305. What is the smaller number?",
      "answer0": "5368",
      "answer1": "5378",
      "answer2": "6632",
      "answer3": "9242",
      "correct_answer": 0,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Smaller number = greater number − difference = 7305 − 1937 = 5368.",
      "hints": ["Difference = greater − smaller, so smaller = greater − difference.", "Compute 7305 − 1937."],
      "source": "St Hilda 2025 P3 End of Year Exam Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 = 5368."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "1207 people participated in a swimming competition. There were 659 adults and the rest were children. How many more adults than children participated in the swimming competition?",
      "answer0": "11",
      "answer1": "111",
      "answer2": "548",
      "answer3": "1866",
      "correct_answer": 1,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Children = 1207 − 659 = 548. More adults than children = 659 − 548 = 111.",
      "hints": ["First find the number of children: 1207 − 659.", "Then subtract children from adults."],
      "source": "St Hilda 2025 P3 End of Year Exam Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 = 111."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "A T-shirt cost $25.20. A skirt cost $19.30. Sally had $15 left after paying for a T-shirt and a skirt. How much money did Sally have at first?",
      "answer0": "$29.50",
      "answer1": "$34.30",
      "answer2": "$44.50",
      "answer3": "$59.50",
      "correct_answer": 3,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Cost of T-shirt and skirt = $25.20 + $19.30 = $44.50. Money at first = $44.50 + $15 = $59.50.",
      "hints": ["Add the two prices together first.", "Add the $15 left over to find the starting amount."],
      "source": "St Hilda 2025 P3 End of Year Exam Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 = $59.50."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Randal ran 1200 m on Saturday. He ran 101 m more on Saturday than on Sunday. How far did he run on Sunday?",
      "answer0": "1009 m",
      "answer1": "1099 m",
      "answer2": "1109 m",
      "answer3": "1301 m",
      "correct_answer": 1,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Sunday distance is 101 m less than Saturday: 1200 − 101 = 1099 m.",
      "hints": ["Saturday was 101 m more, so Sunday is less than Saturday.", "Subtract 101 from 1200."],
      "source": "St Hilda 2025 P3 End of Year Exam Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 = 1099 m."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Arrange the numbers in decreasing order.\n2838 , 2888 , 2883 , 2833\n[?] , [?] , [?] , [?]",
      "answer0": "2888",
      "answer1": "2883",
      "answer2": "2838",
      "answer3": "2833",
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 2,
      "explanation": "Compare by place value. Thousands and hundreds are equal (28..). Compare tens then ones: 2888 (8 tens) > 2883 (8 tens, 3 ones) > 2838 (3 tens, 8 ones) > 2833 (3 tens, 3 ones).",
      "hints": ["Decreasing means largest first.", "Compare the tens digit, then the ones digit, since the thousands and hundreds are the same."],
      "source": "St Hilda 2025 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2888, 2883, 2838, 2833. Four ordered blanks."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Write the missing number in the number pattern.\n550 , 610 , 660 , 720 , 770 , [?] , 880 , 940",
      "answer0": "830",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "The pattern alternates adding 60 then 50: 550 +60=610 +50=660 +60=720 +50=770 +60=830 +50=880 +60=940. The missing term is 830.",
      "hints": ["Look at the differences between consecutive terms.", "The step alternates: +60, +50, +60, +50..."],
      "source": "St Hilda 2025 P3 End of Year Exam Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 830."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "The graph shows the number of muffins Mrs Chin sold at her bakery from January to April.\nWrite 'T' for true and 'F' for false.\n(a) Mrs Chin sold the least number of muffins in March. [?]\n(b) Mrs Chin sold the same number of muffins in January and April. [?]",
      "answer0": "F",
      "answer1": "T",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph: January about 450, February about 390, March about 540 (the tallest, not the least), April about 450. (a) March is the most, not the least, so False. (b) January and April are both about 450, so True.",
      "hints": ["The least is the shortest bar; the most is the tallest.", "Compare January's bar with April's bar height for part (b)."],
      "source": "St Hilda 2025 P3 End of Year Exam Q18",
      "image_needed": true,
      "image_options": false,
      "image_file": "q18.png",
      "image_page": 10,
      "image_bbox": [0.26, 0.16, 0.84, 0.39],
      "image_loc": "bar graph 'Number of muffins sold' Jan-Apr, top of page",
      "notes": "Key: a) F, b) T. Two true/false blanks; letters allowed as fixed-choice T/F single chars."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Mrs Tan had 32 jellies. She packed the jellies equally into 7 boxes and had 4 jellies left. How many jellies were there in each box?",
      "answer0": "4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "The 4 leftover jellies were not packed: 32 − 4 = 28 packed. 28 ÷ 7 = 4 jellies in each box. (Check: 7 × 4 + 4 = 32.)",
      "hints": ["Take away the 4 left over before dividing.", "Divide the remaining jellies by 7 boxes."],
      "source": "St Hilda 2025 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Janice read a total of 315 pages of a book from Monday to Sunday. She read an equal number of pages each day. How many pages did she read from Friday to Sunday?",
      "answer0": "135",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Monday to Sunday is 7 days, so pages per day = 315 ÷ 7 = 45. Friday to Sunday is 3 days: 45 × 3 = 135 pages.",
      "hints": ["Find pages per day by dividing 315 by 7.", "Friday to Sunday spans 3 days; multiply by 3."],
      "source": "St Hilda 2025 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 135."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "What is the missing number in the box?\n4/10 = [?]/5",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 80,
      "difficulty_id": 2,
      "explanation": "10 ÷ 2 = 5, so divide the numerator by the same: 4 ÷ 2 = 2. Thus 4/10 = 2/5. The missing numerator is 2.",
      "hints": ["The denominator went from 10 to 5 (divided by 2).", "Divide the numerator by the same number."],
      "source": "St Hilda 2025 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2 (equivalent fraction 4/10 = 2/5)."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "The mass of bananas and grapes are shown. How much heavier are the grapes than the bananas?\n[?] g",
      "answer0": "130",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Read each scale: grapes weigh 350 g and bananas weigh 220 g. Difference = 350 − 220 = 130 g.",
      "hints": ["Read each weighing scale's pointer in grams.", "Subtract the lighter mass from the heavier mass."],
      "source": "St Hilda 2025 P3 End of Year Exam Q22",
      "image_needed": true,
      "image_options": false,
      "image_file": "q22.png",
      "image_page": 12,
      "image_bbox": [0.30, 0.14, 0.68, 0.33],
      "image_loc": "two weighing scales (grapes and bananas), upper-middle of page",
      "notes": "Key: 130 g. Answer blank already prints unit 'g'; scales read grapes 350 g, bananas 220 g."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Arrange the fractions from the greatest to the smallest.\n2/3 , 3/4 , 1/8\n[?] , [?] , [?]",
      "answer0": "3/4",
      "answer1": "2/3",
      "answer2": "1/8",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 3,
      "explanation": "Compare: 3/4 = 0.75, 2/3 ≈ 0.667, 1/8 = 0.125. Greatest to smallest: 3/4, 2/3, 1/8.",
      "hints": ["Convert each fraction to a common comparison (e.g. decimals or a common denominator).", "Greatest first: the closest to one whole."],
      "source": "St Hilda 2025 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3/4, 2/3, 1/8 (greatest to smallest). Three ordered blanks."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "How many right angles are there in the figure?",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "The cross/plus-shaped figure has its corners marked with right-angle symbols. Counting each marked square corner gives 8 right angles.",
      "hints": ["Look for the small square marks at each corner.", "Count every corner that forms a right angle."],
      "source": "St Hilda 2025 P3 End of Year Exam Q24",
      "image_needed": true,
      "image_options": false,
      "image_file": "q24.png",
      "image_page": 12,
      "image_bbox": [0.36, 0.62, 0.62, 0.82],
      "image_loc": "cross / plus-shaped figure with marked corner angles, lower-middle of page",
      "notes": "Key: 8. Count of right angles is the answer; crop shows full plus-shaped figure."
    },
    {
      "n": 25,
      "type_id": 0,
      "question": "Draw a line parallel to AB in the grid. Label the line CD.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "A parallel line must have exactly the same slope as AB and never meet it. On the grid, AB rises 1 square for every 4 squares across; CD must follow the same 1-up-per-4-across step anywhere else on the grid.",
      "hints": ["Parallel lines never meet and have the same slant.", "Copy AB's grid step (up 1, across 4) starting from a different point."],
      "source": "St Hilda 2025 P3 End of Year Exam Q25",
      "image_needed": true,
      "image_options": false,
      "image_file": "q25.png",
      "image_page": 13,
      "image_bbox": [0.22, 0.17, 0.85, 0.51],
      "image_loc": "10x7 grid with segment AB drawn, upper-middle of page",
      "notes": "type_id 0: interactive draw-a-line task, no value answer, SKIPPED on insert. Key shows a hand-drawn parallel CD line on the grid."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "Timmy has $100. He spends $29.90 on a pizza and $12.50 on a movie ticket. He saves the rest of the money. How much money does he save?\n$[?]",
      "answer0": "57.60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Total spent = $29.90 + $12.50 = $42.40. Money saved = $100 − $42.40 = $57.60.",
      "hints": ["Add the pizza and ticket costs first.", "Subtract the total spent from $100."],
      "source": "St Hilda 2025 P3 End of Year Exam Q26",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $57.60. Long-answer [3 marks]; answer is the dollar value."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "Charles has 144 stickers. Charles has 3 times as many stickers as Danny. Eugene has 2 times as many stickers as Danny. How many stickers does Eugene have?",
      "answer0": "96",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Danny = 144 ÷ 3 = 48 stickers. Eugene = 2 × 48 = 96 stickers.",
      "hints": ["Find Danny's stickers first: Charles is 3 times Danny.", "Then Eugene is 2 times Danny's amount."],
      "source": "St Hilda 2025 P3 End of Year Exam Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 96. Long-answer [3 marks]."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "Fiona had 4 times as many beads as Giny. They had 120 beads altogether. How many beads must Fiona give Giny so that they have the same number of beads?",
      "answer0": "36",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Fiona : Giny = 4 : 1, so 5 units = 120, 1 unit = 24. Fiona = 4 × 24 = 96, Giny = 24. To make them equal they should each have 120 ÷ 2 = 60. Fiona must give Giny 96 − 60 = 36 beads. (Equivalently, half the difference (96 − 24) ÷ 2 = 36.)",
      "hints": ["Split 120 into 5 equal units (4 for Fiona, 1 for Giny).", "Equal share is 60 each; Fiona gives away her excess above 60."],
      "source": "St Hilda 2025 P3 End of Year Exam Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 36. Long-answer [4 marks]. Key uses a model diagram but the answer is the value 36."
    }
  ]
}