{
 "paper": {
  "school": "Rosyth",
  "year": 2023,
  "level": "P4",
  "label": "End of Year Exam",
  "source_prefix": "Rosyth 2023 P4 End of Year Exam",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "Forty-six thousand and sixteen in figures is [?].",
   "answer0": "46 160",
   "answer1": "46 106",
   "answer2": "46 016",
   "answer3": "4616",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "Forty-six thousand = 46 000; sixteen = 16. So 46 000 + 16 = 46 016.",
   "hints": [
    "Break it into 'forty-six thousand' (46 000) and 'sixteen' (16).",
    "Add the two parts: 46 000 + 16."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q1 = option (3) 46 016 -> 0-based index 2."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "In which of the following numbers does the digit 8 stands for 80?",
   "answer0": "3028",
   "answer1": "3082",
   "answer2": "3820",
   "answer3": "8032",
   "correct_answer": 1,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "The digit 8 stands for 80 when it is in the tens place. In 3082 the 8 is in the tens place (80).",
   "hints": [
    "'Stands for 80' means the 8 is in the tens place.",
    "Check each number: which one has 8 in the tens column?"
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q2 = option (2) 3082 -> 0-based index 1."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "13 429 rounded to the nearest hundred is [?].",
   "answer0": "13 500",
   "answer1": "13 430",
   "answer2": "13 400",
   "answer3": "13 000",
   "correct_answer": 2,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "Look at the tens digit (2). Since 2 < 5, round down: 13 429 to the nearest hundred is 13 400.",
   "hints": [
    "The hundreds digit is 4; look at the tens digit to decide.",
    "Tens digit is 2, which is less than 5, so round down."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q3 = option (3) 13 400 -> 0-based index 2."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "The figure is made up of identical triangles. What fraction of the figure is shaded?",
   "answer0": "$$\\frac{4}{12}$$",
   "answer1": "$$\\frac{8}{12}$$",
   "answer2": "$$\\frac{4}{11}$$",
   "answer3": "$$\\frac{4}{8}$$",
   "correct_answer": 0,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "The figure is made up of 12 identical triangles, of which 4 are shaded. So the shaded fraction is $$\\frac{4}{12}$$.",
   "hints": [
    "Count the total number of identical triangles in the whole figure.",
    "Count how many are shaded, then write shaded over total."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": "q4.png",
   "image_page": 4,
   "image_bbox": [
    0.34,
    0.16,
    0.49,
    0.31
   ],
   "image_loc": "centre of page below the question stem: an elongated hexagon made of shaded and unshaded triangles",
   "notes": "Key Q4 = option (1) 4/12 -> 0-based index 0. Figure required to count triangles."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "$$\\frac{1}{3}$$ + $$\\frac{1}{9}$$ = [?]",
   "answer0": "$$\\frac{1}{27}$$",
   "answer1": "$$\\frac{2}{12}$$",
   "answer2": "$$\\frac{3}{9}$$",
   "answer3": "$$\\frac{4}{9}$$",
   "correct_answer": 3,
   "skill_id": 121,
   "difficulty_id": 1,
   "explanation": "Make denominators the same: $$\\frac{1}{3}=\\frac{3}{9}$$. Then $$\\frac{3}{9}+\\frac{1}{9}=\\frac{4}{9}$$.",
   "hints": [
    "Convert $$\\frac{1}{3}$$ to ninths: $$\\frac{1}{3}=\\frac{3}{9}$$.",
    "Add the numerators over 9."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q5 = option (4) 4/9 -> 0-based index 3."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "PQRS is a square. Find $$\\angle$$ v.",
   "answer0": "36°",
   "answer1": "54°",
   "answer2": "70°",
   "answer3": "74°",
   "correct_answer": 1,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Angle PQR of the square is 90°. The angles 20° and 16° at Q are part of it, so v = 90° − 20° − 16° = 54°.",
   "hints": [
    "The corner angle of a square is 90°.",
    "Subtract the two marked angles (20° and 16°) from 90°."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 5,
   "image_bbox": [
    0.3,
    0.13,
    0.58,
    0.3
   ],
   "image_loc": "below the question: square PQRS with two lines from corner Q, marked 20°, v and 16°",
   "notes": "Key Q6 = option (2) 54° -> 0-based index 1."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "What is the number when 17.54 is rounded to 1 decimal place?",
   "answer0": "17.0",
   "answer1": "17.5",
   "answer2": "17.6",
   "answer3": "18.0",
   "correct_answer": 1,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "To round to 1 decimal place, look at the 2nd decimal digit (4). Since 4 < 5, round down: 17.54 becomes 17.5.",
   "hints": [
    "Look at the hundredths digit (the second digit after the point).",
    "It is 4, which is less than 5, so keep the tenths digit unchanged."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q7 = option (2) 17.5 -> 0-based index 1."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Abby started cleaning her room at 13 30. She took 1 h 30 min to clean her room. What time did she finish cleaning her room?",
   "answer0": "12 00",
   "answer1": "12 30",
   "answer2": "14 30",
   "answer3": "15 00",
   "correct_answer": 3,
   "skill_id": 135,
   "difficulty_id": 1,
   "explanation": "13 30 + 1 h = 14 30; 14 30 + 30 min = 15 00.",
   "hints": [
    "Add 1 hour first to get 14 30.",
    "Then add the remaining 30 minutes."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q8 = option (4) 15 00 -> 0-based index 3."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Which of the following figures in the square grid has both parallel lines and perpendicular lines?",
   "answer0": "Figure (1)",
   "answer1": "Figure (2)",
   "answer2": "Figure (3)",
   "answer3": "Figure (4)",
   "correct_answer": 0,
   "skill_id": 100,
   "difficulty_id": 2,
   "explanation": "Only figure (1) contains a pair of parallel lines together with a pair of perpendicular lines.",
   "hints": [
    "Parallel lines never meet; perpendicular lines meet at a right angle.",
    "Find the figure that shows both relationships at once."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q9",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "image_page": 6,
   "image_bbox": [
    0.14,
    0.16,
    0.78,
    0.32
   ],
   "image_loc": "four square-grid figures labelled (1)-(4) in a row below the question",
   "notes": "Key Q9 = option (1) -> 0-based index 0. Option figures live on one grid; crop each option to q9_opt0..3.png."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "The figure is made up of a square S of side 5 cm and a rectangle R with breadth 2 cm. What is the length of rectangle R?",
   "answer0": "7 cm",
   "answer1": "9 cm",
   "answer2": "3 cm",
   "answer3": "4 cm",
   "correct_answer": 3,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "The whole base is 9 cm and the square S takes up 5 cm of it. Length of rectangle R = 9 − 5 = 4 cm.",
   "hints": [
    "The total base length is 9 cm.",
    "Subtract the side of square S (5 cm) from 9 cm."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q10",
   "image_needed": true,
   "image_options": false,
   "image_file": "q10.png",
   "image_page": 6,
   "image_bbox": [
    0.22,
    0.46,
    0.66,
    0.66
   ],
   "image_loc": "below the question: rectangle R (2 cm) joined to square S (5 cm), total base 9 cm, length of R marked '?'",
   "notes": "Key Q10 = option (4) 4 cm -> 0-based index 3."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "Which of the following does not have a line of symmetry?",
   "answer0": "Figure (1)",
   "answer1": "Figure (2)",
   "answer2": "Figure (3)",
   "answer3": "Figure (4)",
   "correct_answer": 0,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "Patterns (2), (3) and (4) each fold onto themselves along a line, but figure (1)'s shaded pattern has no line of symmetry.",
   "hints": [
    "A line of symmetry folds the figure so both halves match exactly.",
    "Test each 3x3 shaded pattern for a fold line; one of them has none."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q11",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "image_page": 7,
   "image_bbox": [
    0.26,
    0.15,
    0.45,
    0.72
   ],
   "image_loc": "four 3x3 shaded-square grids stacked, labelled (1)-(4) down the page",
   "notes": "Key Q11 = option (1) -> 0-based index 0. Crop each option grid to q11_opt0..3.png."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "The table shows the number of students who visited the Makerspace from Monday to Friday.<br>Mon 13, Tue 23, Wed 26, Thu 19, Fri 28.<br>What is the total number of students who visited the Makerspace from Monday to Wednesday?",
   "answer0": "39",
   "answer1": "62",
   "answer2": "81",
   "answer3": "109",
   "correct_answer": 1,
   "skill_id": 148,
   "difficulty_id": 1,
   "explanation": "Monday to Wednesday: 13 + 23 + 26 = 62.",
   "hints": [
    "Add the values for Monday, Tuesday and Wednesday only.",
    "13 + 23 + 26."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q12 = option (2) 62 -> 0-based index 1. Table data transcribed into stem so no figure needed."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "The rectangle ABCD is made up of 2 squares. The perimeter of a square is 80 cm. Find the perimeter of rectangle ABCD.",
   "answer0": "20 cm",
   "answer1": "40 cm",
   "answer2": "120 cm",
   "answer3": "160 cm",
   "correct_answer": 2,
   "skill_id": 96,
   "difficulty_id": 2,
   "explanation": "Side of a square = 80 ÷ 4 = 20 cm. The rectangle is 2 squares wide: length 40 cm, breadth 20 cm. Perimeter = 2 × (40 + 20) = 120 cm.",
   "hints": [
    "Find one side of a square: 80 ÷ 4.",
    "Rectangle length = two sides, breadth = one side; then perimeter = 2 × (length + breadth)."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q13",
   "image_needed": true,
   "image_options": false,
   "image_file": "q13.png",
   "image_page": 8,
   "image_bbox": [
    0.3,
    0.55,
    0.62,
    0.68
   ],
   "image_loc": "below the question: rectangle ABCD split into two equal squares by a vertical line",
   "notes": "Key Q13 = option (3) 120 cm -> 0-based index 2."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "Jason spent $55 on 2 identical shirts and a pair of pants. A pair of pants cost $25 more than a shirt. How much did he spend on 1 shirt?",
   "answer0": "$10",
   "answer1": "$15",
   "answer2": "$30",
   "answer3": "$80",
   "correct_answer": 0,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Remove the extra $25 for the pants: 55 − 25 = 30. This equals 3 shirts (2 shirts + the pants priced as 1 shirt). 1 shirt = 30 ÷ 3 = $10.",
   "hints": [
    "The pants = 1 shirt + $25; take the $25 out first: 55 − 25 = 30.",
    "The $30 is now 3 equal shirts, so divide by 3."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q14 = option (1) $10 -> 0-based index 0."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "Alicia is facing her school. She makes a $$\\frac{1}{2}$$ turn anticlockwise. She then makes a 270° turn clockwise. Where is she facing now?",
   "answer0": "home",
   "answer1": "library",
   "answer2": "playground",
   "answer3": "school",
   "correct_answer": 1,
   "skill_id": 141,
   "difficulty_id": 2,
   "explanation": "A $$\\frac{1}{2}$$ turn (180°) anticlockwise from school takes her to face home. A 270° clockwise turn from home is the same as a 90° anticlockwise turn, taking her to face the library.",
   "hints": [
    "A half turn is 180°; from school that points her at home (opposite).",
    "270° clockwise = 90° anticlockwise. Turn from home by 90° anticlockwise."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 9,
   "image_bbox": [
    0.28,
    0.38,
    0.66,
    0.66
   ],
   "image_loc": "compass-style diagram: girl in centre with home (top), school (bottom), library (left), playground (right) and diagonal arrows",
   "notes": "Key Q15 = option (2) library -> 0-based index 1."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "83 905 = 80 000 + 3000 + [?] + 5<br>What is the missing number?",
   "answer0": "900",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "83 905 = 80 000 + 3000 + 900 + 5. The missing number is the hundreds value, 900.",
   "hints": [
    "Write 83 905 in expanded form by place value.",
    "The hundreds digit 9 stands for 900."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q16 = 900."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "Write the missing number in the number pattern.<br>13 000 , 12 600 , 12 200 , 11 800 , [?] , 11 000",
   "answer0": "11 400",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 1,
   "explanation": "Each number decreases by 400. 11 800 − 400 = 11 400.",
   "hints": [
    "Find the difference between consecutive numbers (it is the same each step).",
    "Subtract 400 from 11 800."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q17",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q17 = 11 400."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "Express $$\\frac{10}{15}$$ in its simplest form.",
   "answer0": "2/3",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 78,
   "difficulty_id": 1,
   "explanation": "Divide numerator and denominator by 5: $$\\frac{10}{15}=\\frac{10\\div5}{15\\div5}=\\frac{2}{3}$$.",
   "hints": [
    "Find the largest number that divides both 10 and 15.",
    "Both are divisible by 5."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q18 = 2/3. FIB fraction answer stored plain as 2/3."
  },
  {
   "n": 19,
   "type_id": 2,
   "question": "Write $$\\frac{15}{7}$$ as a mixed number.",
   "answer0": "2 1/7",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "15 ÷ 7 = 2 remainder 1, so $$\\frac{15}{7}=2\\frac{1}{7}$$.",
   "hints": [
    "Divide 15 by 7 to get the whole-number part.",
    "The remainder over 7 is the fraction part."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q19",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q19 = 2 1/7. Mixed number entered plain as '2 1/7'."
  },
  {
   "n": 20,
   "type_id": 2,
   "question": "ABCD is a rectangle. Find the value of $$\\angle$$x.",
   "answer0": "51",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Angle DAB of the rectangle is 90°. The line from A makes 39° with AB, so x = 90° − 39° = 51°.",
   "hints": [
    "The corner angle of a rectangle is 90°.",
    "Subtract the marked 39° from 90°."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q20",
   "image_needed": true,
   "image_options": false,
   "image_file": "q20.png",
   "image_page": 11,
   "image_bbox": [
    0.22,
    0.31,
    0.58,
    0.48
   ],
   "image_loc": "below the question: rectangle ABCD with a diagonal line from A to side BC, angle x at A and 39° marked",
   "notes": "Key Q20 = 51°. Answer in degrees; unit handled by the '°' printed after the blank."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "Write 5 thousandths as a decimal.",
   "answer0": "0.005",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "Thousandths are the 3rd decimal place. 5 thousandths = 0.005.",
   "hints": [
    "Thousandths is the third digit after the decimal point.",
    "Place the 5 in the thousandths position."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q21 = 0.005."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "Write $$\\frac{85}{100}$$ as a decimal.",
   "answer0": "0.85",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 127,
   "difficulty_id": 1,
   "explanation": "$$\\frac{85}{100}$$ means 85 hundredths = 0.85.",
   "hints": [
    "Hundredths is the second decimal place.",
    "85 hundredths = 0.85."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q22",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q22 = 0.85."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "Arrange the following numbers in order from the greatest to the smallest.<br>3.909, 3.093, 3.099<br>[?] (greatest), [?], [?] (smallest)",
   "answer0": "3.909",
   "answer1": "3.099",
   "answer2": "3.093",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare decimal place by place. 3.909 > 3.099 > 3.093 because the tenths digit 9 beats 0, then for 3.099 vs 3.093 the hundredths are equal (9) but thousandths 9 > 3.",
   "hints": [
    "Compare the tenths digit first.",
    "If digits tie, move to the hundredths then thousandths place."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q23 = 3.909, 3.099, 3.093 (greatest to smallest). Three ordered blanks."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "Express 0.4 as a fraction.",
   "answer0": "4/10",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 126,
   "difficulty_id": 1,
   "explanation": "0.4 is 4 tenths, so 0.4 = $$\\frac{4}{10}$$.",
   "hints": [
    "0.4 means 4 tenths.",
    "Write it as 4 over 10."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q24 = 4/10 (key leaves it unsimplified). FIB fraction answer stored plain as 4/10."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "The line graph shows the number of soft toys sold at the Care Carnival from Monday to Friday. Each soft toy was sold at $12.<br>(a) Which day has the greatest number of soft toys sold?<br>(b) How much money was collected from the sales on that day?",
   "answer0": "Wednesday",
   "answer1": "$432",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 148,
   "difficulty_id": 2,
   "explanation": "(a) The highest point on the line graph is Wednesday, with 36 soft toys sold. (b) Money collected = 36 × $12 = $432.",
   "hints": [
    "The greatest sales is the highest point on the graph.",
    "Multiply the number sold that day by $12."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q25",
   "image_needed": true,
   "image_options": false,
   "image_file": "q25.png",
   "image_page": 13,
   "image_bbox": [
    0.14,
    0.18,
    0.8,
    0.42
   ],
   "image_loc": "line graph 'Number of soft toys' vs days Mon-Fri, peaking at Wed (36)",
   "notes": "Two parts. Key Q25a = Wed (stored as 'Wednesday'); Q25b = $432. Graph needed for part (a)."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "Mrs Wong wants to pack 36 blueberry cupcakes and 54 chocolate cupcakes into boxes with no remainder. The total number of cupcakes packed into each box is the same. The number of blueberry cupcakes in each box is the same. What is the greatest number of boxes that Mrs Wong can pack?",
   "answer0": "18",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "The greatest number of boxes is the highest common factor of 36 and 54. Common factors are 1, 2, 3, 6, 9, 18; the greatest is 18.",
   "hints": [
    "Each box has equal blueberry and equal total, so the number of boxes divides both 36 and 54.",
    "Find the greatest common factor of 36 and 54."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q26",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q26 = 18 (greatest common factor of 36 and 54)."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "Emily and Guo Chuan are standing at point X facing the same direction. After Emily makes a 270° turn clockwise, she faces south-east. Where will Guo Chuan face after he makes a 135° anticlockwise turn from the original position?",
   "answer0": "East",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 142,
   "difficulty_id": 3,
   "explanation": "Emily ends facing south-east after a 270° clockwise turn, so the original direction was south-west (270° clockwise from south-west reaches south-east). From south-west, a 135° anticlockwise turn (three 45° steps: SW→S→SE→E) gives East.",
   "hints": [
    "Work backwards from Emily to find the starting direction (south-west).",
    "Turn anticlockwise from south-west by 135° (each compass step is 45°)."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q27",
   "image_needed": true,
   "image_options": false,
   "image_file": "q27.png",
   "image_page": 14,
   "image_bbox": [
    0.14,
    0.55,
    0.62,
    0.82
   ],
   "image_loc": "8-point compass centred on X with North/NE/E/SE/S/SW/W/NW labelled",
   "notes": "Key Q27 = East. Compass figure aids the turn reasoning."
  },
  {
   "n": 28,
   "type_id": 0,
   "question": "Complete the symmetric figure with line AB as the line of symmetry.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "Reflect every drawn line segment across the diagonal line of symmetry AB; the completed figure is the mirror image of the given half about AB.",
   "hints": [
    "Each point's mirror is the same perpendicular distance on the other side of AB.",
    "Reflect each vertex of the shape, then join them."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q28",
   "image_needed": true,
   "image_options": false,
   "image_file": "q28.png",
   "image_page": 15,
   "image_bbox": [
    0.2,
    0.16,
    0.7,
    0.52
   ],
   "image_loc": "square grid with diagonal dashed line AB and a partial bold shape on the right to be reflected",
   "notes": "Interactive draw/complete-the-figure task; no value answer. type_id 0 (skipped on insert). Key Q28 shows the completed mirrored shape."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "The graph shows the number of fruits sold in the first week of August.<br>Apple 64, Orange 60, Pear 24, Mango 32, Banana 16.<br>Which fruit was sold twice as many as mangoes?",
   "answer0": "Apple",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "Mangoes sold = 32. Twice 32 = 64, which is the number of apples sold. So the answer is apple.",
   "hints": [
    "Read the number of mangoes from the bar graph (32).",
    "Find the fruit whose bar is double that value (64)."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q29",
   "image_needed": true,
   "image_options": false,
   "image_file": "q29.png",
   "image_page": 16,
   "image_bbox": [
    0.14,
    0.18,
    0.78,
    0.42
   ],
   "image_loc": "bar graph 'Number of fruits sold' vs Apple/Orange/Pear/Mango/Banana",
   "notes": "Key Q29 = Apple. Bar values transcribed into stem; graph still recorded for reference."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "The figure is made up of 2 identical rectangles. The total area of the figure is 48 cm². Find the length of one rectangle.",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "Area of one rectangle = 48 ÷ 2 = 24 cm². The breadth is 3 cm, so length = 24 ÷ 3 = 8 cm.",
   "hints": [
    "The two rectangles are identical, so each has half the total area.",
    "Length = area of one rectangle ÷ breadth (3 cm)."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q30",
   "image_needed": true,
   "image_options": false,
   "image_file": "q30.png",
   "image_page": 17,
   "image_bbox": [
    0.16,
    0.18,
    0.42,
    0.4
   ],
   "image_loc": "L-shaped figure of two identical rectangles; top length marked '?', vertical limb width 3 cm",
   "notes": "Key Q30 = 8 cm. Answer in cm; unit printed after the blank."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "The square and rectangle have the same perimeter. The rectangle is 13 cm by 7 cm. Find the area of the square.",
   "answer0": "100",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 137,
   "difficulty_id": 2,
   "explanation": "Perimeter of rectangle = 13 + 13 + 7 + 7 = 40 cm. Side of square = 40 ÷ 4 = 10 cm. Area of square = 10 × 10 = 100 cm².",
   "hints": [
    "Find the rectangle's perimeter: 2 × (13 + 7).",
    "The square has the same perimeter; one side = perimeter ÷ 4, then area = side × side."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q31",
   "image_needed": true,
   "image_options": false,
   "image_file": "q31.png",
   "image_page": 17,
   "image_bbox": [
    0.26,
    0.55,
    0.66,
    0.7
   ],
   "image_loc": "a square (left) and a 13 cm by 7 cm rectangle (right) side by side",
   "notes": "Key Q31 = 100 cm². Answer in cm²; unit printed after the blank. Dimensions transcribed into stem."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "A square of side 4 cm has been cut out from a rectangular piece of paper. Exactly 6 such squares can be cut out from the paper without any leftover. Find the perimeter of the piece of paper now.",
   "answer0": "40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "The original paper holds 6 squares of side 4 cm arranged 3 by 2: length = 3 × 4 = 12 cm, breadth = 2 × 4 = 8 cm. Cutting one corner square does not change the outer perimeter, so perimeter = 12 + 12 + 8 + 8 = 40 cm.",
   "hints": [
    "6 squares of side 4 cm fit as 3 across and 2 down: 12 cm by 8 cm.",
    "Removing a corner square keeps the same outline perimeter."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q32",
   "image_needed": true,
   "image_options": false,
   "image_file": "q32.png",
   "image_page": 18,
   "image_bbox": [
    0.28,
    0.2,
    0.62,
    0.36
   ],
   "image_loc": "L-shaped paper (rectangle with one corner square removed) and a separate 4 cm square shown to the right",
   "notes": "Key Q32 = 40 cm. Answer in cm; unit printed after the blank. Key reasons perimeter of the rectangle (corner cut keeps the outline)."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "10 trees were planted along a road at equal distance. The distance between the 2nd and the 4th tree was 5.6 m. What was the distance between the 1st and the 10th tree?",
   "answer0": "25.2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "From the 2nd to the 4th tree is 2 gaps = 5.6 m, so 1 gap = 5.6 ÷ 2 = 2.8 m. From the 1st to the 10th tree is 9 gaps: 9 × 2.8 = 25.2 m.",
   "hints": [
    "Count gaps, not trees: 2nd to 4th is 2 equal gaps.",
    "1st to 10th is 9 gaps; multiply by one gap length."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q33",
   "image_needed": true,
   "image_options": false,
   "image_file": "q33.png",
   "image_page": 18,
   "image_bbox": [
    0.14,
    0.57,
    0.8,
    0.72
   ],
   "image_loc": "row of trees labelled 1st, 2nd, 3rd, 4th ... 10th with 5.6 m marked between 2nd and 4th and '?' between 1st and 10th",
   "notes": "Key Q33 = 25.2 m. Answer in m; unit printed after the blank."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "Aini prepared 6 $$\\ell$$ of fruit punch for a party. She poured them equally into 4 bottles. What is the volume of the fruit punch in each bottle?",
   "answer0": "1.5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "6 ℓ ÷ 4 = 1.5 ℓ in each bottle.",
   "hints": [
    "Divide the total volume equally among 4 bottles.",
    "6 ÷ 4 = 1.5."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q34",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q34 = 1.5 (litres). Answer in ℓ; unit printed after the blank."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "Kelvin is 1.81 m tall. He is 0.35 m taller than Jonathan. Jonathan is 0.29 m shorter than Elson. What is Elson's height?",
   "answer0": "1.75",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 2,
   "explanation": "Jonathan = 1.81 − 0.35 = 1.46 m. Elson is 0.29 m taller than Jonathan: 1.46 + 0.29 = 1.75 m.",
   "hints": [
    "First find Jonathan's height: 1.81 − 0.35.",
    "Jonathan is 0.29 m shorter than Elson, so add 0.29 to Jonathan's height."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q35",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q35 = 1.75 m. Answer in m; unit printed after the blank."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Leela's watch is 15 minutes slower. The time shown on her watch is 1.35 p.m. Find the actual time using the 24-hour clock.",
   "answer0": "13 50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "The watch is 15 min slow, so the actual time is 15 min later than 1.35 p.m.: 1.35 p.m. + 15 min = 1.50 p.m. = 13 50 in 24-hour time.",
   "hints": [
    "A slow watch shows an earlier time, so add 15 minutes to get the real time.",
    "1.50 p.m. as 24-hour time is 13 50."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q36",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q36 = 13 50."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "When I open my storybook, two pages face me. The sum of these two page numbers is 667. What is the page number of the smaller number?",
   "answer0": "333",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Two facing pages are consecutive numbers, so they differ by 1. Smaller + (smaller + 1) = 667, so 2 × smaller = 666, smaller = 333.",
   "hints": [
    "Facing pages are consecutive whole numbers (differ by 1).",
    "Take 1 off the total then halve: (667 − 1) ÷ 2."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q37",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q37 = 333."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Mark bought some sweets. He gave his friends $$\\frac{1}{7}$$ of the sweets and gave his brother $$\\frac{3}{4}$$ of the sweets. All the remaining sweets were eaten by him. What fraction of the sweets did Mark eat?",
   "answer0": "3/28",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Given away = $$\\frac{1}{7}+\\frac{3}{4}=\\frac{4}{28}+\\frac{21}{28}=\\frac{25}{28}$$. Mark ate the rest = $$\\frac{28}{28}-\\frac{25}{28}=\\frac{3}{28}$$.",
   "hints": [
    "Add the two fractions given away using a common denominator of 28.",
    "Subtract that total from 1 whole ($$\\frac{28}{28}$$)."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q38",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q38 = 3/28. FIB fraction answer stored plain as 3/28."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "The graph shows the number of visitors who went to the museum over seven months.<br>Jan 550, Feb 575, Mar 300, Apr 375, May 600, Jun 475, Jul (unknown).<br>(a) Between January to June, which month has the least number of visitors?<br>(b) The total number of visitors who went to the museum in May, June and July is 1500. How many visitors went to the museum in July?",
   "answer0": "March",
   "answer1": "425",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "(a) From January to June the shortest bar is March (about 300 visitors). (b) May + June = 600 + 475 = 1075. July = 1500 − 1075 = 425.",
   "hints": [
    "(a) The least visitors is the shortest bar between Jan and Jun.",
    "(b) Add May and June, then subtract from 1500 to find July."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q39",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 22,
   "image_bbox": [
    0.14,
    0.18,
    0.72,
    0.46
   ],
   "image_loc": "horizontal bar graph 'Number of visitors' for Jan-Jul (Jul bar blank, marked '?')",
   "notes": "Two parts. Key Q39a = Mar (stored 'March'); Q39b = 425. May=600, Jun=475 read from key. Graph needed for part (a)."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "The figure is made up of 5 identical squares. The area of a square is 25 cm². What is the perimeter of the figure?",
   "answer0": "50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Side of one square = $$\\sqrt{25}$$ = 5 cm (since 5 × 5 = 25). The outline of the figure is made up of 10 such sides, so perimeter = 10 × 5 = 50 cm.",
   "hints": [
    "Find one side of a square: which number times itself gives 25?",
    "Count the side-lengths along the outline of the whole figure (10 of them), then multiply by 5."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q40",
   "image_needed": true,
   "image_options": false,
   "image_file": "q40.png",
   "image_page": 23,
   "image_bbox": [
    0.32,
    0.13,
    0.54,
    0.26
   ],
   "image_loc": "staircase-like figure of 5 identical squares (3 on top, 2 below)",
   "notes": "Key Q40 = 50 cm. Answer in cm; unit follows the blank. Figure needed to count outline sides."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "Nicole had baked five times as many cookies as Joey at first. After Nicole gave away 235 cookies and Joey gave away 19 cookies, they had the same number of cookies left.<br>(a) How many cookies did Nicole bake at first?<br>(b) How many cookies did each of them have in the end?",
   "answer0": "270",
   "answer1": "35",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let Joey = 1 unit, Nicole = 5 units. After giving away: 5u − 235 = 1u − 19, so 4u = 235 − 19 = 216, 1u = 54. (a) Nicole = 5u = 5 × 54 = 270. (b) Each had Joey's remainder = 54 − 19 = 35.",
   "hints": [
    "Let Joey be 1 unit and Nicole 5 units, then set the two 'left' amounts equal.",
    "4 units = 235 − 19; find 1 unit, then 5 units; the end amount is 1 unit − 19."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Two parts. Key Q41a = 270 (Nicole baked); Q41b = 35 cookies each in the end."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Mrs Devi and Mdm Tan baked an equal number of muffins for sale. Mrs Devi sold 49 muffins and had $$\\frac{2}{9}$$ of the muffins left.<br>(a) How many muffins did Mrs Devi have left?<br>(b) How many muffins did Mrs Devi and Mdm Tan bake in all?",
   "answer0": "14",
   "answer1": "126",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Mrs Devi sold $$\\frac{7}{9}$$ (the part that is not the $$\\frac{2}{9}$$ left), so 7 units = 49 and 1 unit = 7. (a) Left = 2 units = 2 × 7 = 14 muffins. (b) Mrs Devi baked 9 units = 9 × 7 = 63; both baked equal numbers, so total = 63 × 2 = 126.",
   "hints": [
    "If $$\\frac{2}{9}$$ are left, then $$\\frac{7}{9}$$ (= 49) were sold; find one ninth.",
    "Each person baked 9 units; double Mrs Devi's total for the combined amount."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Two parts. Key Q42a = 14 left; Q42b = 126 baked in all."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Charlie had twice as many marbles as Sally. After Sally lost 45 marbles, Charlie had 5 times as many marbles as Sally. How many marbles did Charlie have?",
   "answer0": "150",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Charlie's marbles never change. Charlie = 2 × (Sally's original). After Sally loses 45, Charlie = 5 × (Sally's new). So 5 units (new Sally) = 2 units (old Sally), meaning Sally lost 45 = the difference; 3 new-units = 45 + 45... using model: Charlie = 5 new-units and = 2 old-units; the 45 lost equals 3 of the new units, so 3u = 45 + 45 = 90, 1u = 30, Charlie = 5u = 150.",
   "hints": [
    "Charlie's total stays the same the whole time.",
    "Set Charlie = 2 × old Sally = 5 × new Sally; the 45 lost bridges the two; solve for one unit then Charlie = 5 units."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q43 = 150 (3u = 45 + 45 = 90, 1u = 30, Charlie = 5u = 150)."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "Three children shared some money. Alice and Benny received $100 altogether. Benny and Catherine received $450 in all. Catherine received five times as much money as Alice. How much money did Alice receive?",
   "answer0": "87.50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Catherine − Alice = (Benny + Catherine) − (Alice + Benny) = 450 − 100 = 350. Since Catherine = 5 × Alice, Catherine − Alice = 4 × Alice = 350, so Alice = 350 ÷ 4 = $87.50.",
   "hints": [
    "Subtract the two given totals to remove Benny: 450 − 100 = the gap between Catherine and Alice.",
    "Catherine = 5 × Alice, so the gap is 4 units of Alice; divide 350 by 4."
   ],
   "source": "Rosyth 2023 P4 End of Year Exam Q44",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "image_loc": null,
   "notes": "Key Q44 = $87.50. Answer stored plain as 87.50 (dollars)."
  }
 ]
}