{
 "paper": {
  "school": "St Hilda's Primary School",
  "year": 2023,
  "level": "P4",
  "label": "End of Year Exam",
  "source_prefix": "St Hilda 2023 P4 End of Year Exam",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "In which of the following numbers does the digit 7 stand for 70?",
   "answer0": "3407",
   "answer1": "4073",
   "answer2": "4730",
   "answer3": "7304",
   "correct_answer": 1,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "The digit 7 stands for 70 when it is in the tens place. In 4073, the 7 is in the tens place, so it stands for 70.",
   "hints": [
    "The value of a digit depends on its place.",
    "70 means 7 in the tens place."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (4073)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "Which of the following is a factor of both 12 and 40?",
   "answer0": "12",
   "answer1": "8",
   "answer2": "6",
   "answer3": "4",
   "correct_answer": 3,
   "skill_id": 113,
   "difficulty_id": 1,
   "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40. The common factor among the options is 4.",
   "hints": [
    "List the factors of 12 and of 40.",
    "A common factor divides both numbers exactly."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (4)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "Which one of the following has $$\\frac{1}{3}$$ of the figure shaded?",
   "answer0": "Figure 1",
   "answer1": "Figure 2",
   "answer2": "Figure 3",
   "answer3": "Figure 4",
   "correct_answer": 1,
   "skill_id": 120,
   "difficulty_id": 1,
   "explanation": "A figure shows $$\\frac{1}{3}$$ shaded when it is divided into 3 equal parts with 1 part shaded. Figure 2 is divided into 3 equal parts with 1 part shaded.",
   "hints": [
    "Count the total equal parts and the shaded parts.",
    "$$\\frac{1}{3}$$ means 1 of 3 equal parts."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q3",
   "image_needed": true,
   "image_options": true,
   "image_file": "q3.png",
   "image_page": 3,
   "image_bbox": [
    0.16,
    0.52,
    0.86,
    0.66
   ],
   "image_loc": "row of 4 shaded rectangle figures below the question",
   "notes": "Image-option MCQ; the 4 options are pictures of shaded bars. Key: option 2. Crop each option to q3_opt0..3.png."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "$$6\\frac{7}{8}$$ = $$\\frac{[?]}{8}$$<br>What is the missing number in the box?",
   "answer0": "42",
   "answer1": "48",
   "answer2": "50",
   "answer3": "55",
   "correct_answer": 3,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "Convert the mixed number to an improper fraction: $$6\\frac{7}{8}$$ = $$\\frac{6\\times8+7}{8}$$ = $$\\frac{55}{8}$$. The missing number is 55.",
   "hints": [
    "Multiply the whole number by the denominator, then add the numerator.",
    "6 x 8 + 7 = 55."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (55). MCQ as printed; box is the missing numerator."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "What is the length of the pencil in cm?",
   "answer0": "6.6 cm",
   "answer1": "6.4 cm",
   "answer2": "5.9 cm",
   "answer3": "5.4 cm",
   "correct_answer": 1,
   "skill_id": 84,
   "difficulty_id": 1,
   "explanation": "Read where each end of the pencil lies on the ruler. The pencil spans from 0 cm to 6.4 cm, so its length is 6.4 cm.",
   "hints": [
    "Line the end of the object up with the start and end markings.",
    "Subtract the start reading from the end reading."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 4,
   "image_bbox": [
    0.16,
    0.13,
    0.82,
    0.25
   ],
   "image_loc": "pencil-on-ruler diagram below the question near top of page",
   "notes": "Key: option 2 (6.4 cm). Measuring/reading a ruler."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "What is the number when 11.84 is rounded to 1 decimal place?",
   "answer0": "11.0",
   "answer1": "11.8",
   "answer2": "11.9",
   "answer3": "12.0",
   "correct_answer": 1,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "To round 11.84 to 1 decimal place, look at the hundredths digit (4). Since 4 is less than 5, round down: 11.8.",
   "hints": [
    "Look at the second decimal digit.",
    "If it is less than 5, keep the first decimal digit unchanged."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (11.8)."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "Which of the following letters is symmetrical?",
   "answer0": "N",
   "answer1": "S",
   "answer2": "X",
   "answer3": "Z",
   "correct_answer": 2,
   "skill_id": 144,
   "difficulty_id": 1,
   "explanation": "A symmetrical letter can be folded along a line so both halves match. X has both vertical and horizontal lines of symmetry; N, S and Z do not.",
   "hints": [
    "Try folding each letter in half.",
    "If both halves match exactly, it is symmetrical."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (X). Options are plain letters; treated as text MCQ, not image options."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Andy had 578 marbles at first. After giving 142 marbles to Shirley, he had twice the number of marbles as Shirley in the end. How many marbles did Shirley have at first?",
   "answer0": "76",
   "answer1": "146",
   "answer2": "218",
   "answer3": "240",
   "correct_answer": 0,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Andy in the end: 578 - 142 = 436. This is twice Shirley's final amount, so Shirley in the end = 436 / 2 = 218. Shirley received 142, so Shirley at first = 218 - 142 = 76.",
   "hints": [
    "Work out how many marbles Andy had after giving some away.",
    "Andy's final amount is twice Shirley's final amount."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (76). Verified."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Which of the following numbers is both a factor of 16 and a multiple of 4?",
   "answer0": "1",
   "answer1": "2",
   "answer2": "6",
   "answer3": "4",
   "correct_answer": 3,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "Factors of 16: 1, 2, 4, 8, 16. Multiples of 4: 4, 8, 12, ... The number 4 is both a factor of 16 and a multiple of 4.",
   "hints": [
    "List the factors of 16.",
    "Check which of those is also a multiple of 4."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (4)."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "Chuan Rui is thinking of a number. When it is divided by 18, it has a quotient of 324. What is the number?",
   "answer0": "18",
   "answer1": "306",
   "answer2": "342",
   "answer3": "5832",
   "correct_answer": 3,
   "skill_id": 116,
   "difficulty_id": 2,
   "explanation": "Number = quotient x divisor = 324 x 18 = 5832.",
   "hints": [
    "To undo division, multiply.",
    "324 x 18 = 5832."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (5832)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "A fruit seller had 5630 oranges. He packed all the oranges into boxes of 8. How many oranges were left unpacked?",
   "answer0": "703",
   "answer1": "6",
   "answer2": "3",
   "answer3": "30",
   "correct_answer": 1,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "5630 / 8 = 703 remainder 6. So 703 full boxes are packed and 6 oranges are left unpacked.",
   "hints": [
    "Divide 5630 by 8.",
    "The remainder is the number left over."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (6)."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "Tim ate $$\\frac{4}{9}$$ of a cake. Mark ate $$\\frac{1}{2}$$ of the same cake. What fraction of the cake was left?",
   "answer0": "$$\\frac{1}{18}$$",
   "answer1": "$$\\frac{3}{7}$$",
   "answer2": "$$\\frac{5}{11}$$",
   "answer3": "$$\\frac{5}{18}$$",
   "correct_answer": 0,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Tim and Mark ate $$\\frac{4}{9}+\\frac{1}{2}$$ = $$\\frac{8}{18}+\\frac{9}{18}$$ = $$\\frac{17}{18}$$. Left = $$1-\\frac{17}{18}$$ = $$\\frac{1}{18}$$.",
   "hints": [
    "Add the two fractions using a common denominator of 18.",
    "Subtract the total eaten from 1 whole."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (1/18)."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "Amirah saved an equal amount of money each month. She saved $19.20 in 2 months. How much would she save in 7 months?",
   "answer0": "$44.80",
   "answer1": "$67.20",
   "answer2": "$134.40",
   "answer3": "$268.80",
   "correct_answer": 1,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Per month: $19.20 / 2 = $9.60. In 7 months: $9.60 x 7 = $67.20.",
   "hints": [
    "Find how much she saves in 1 month first.",
    "Multiply the monthly amount by 7."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 ($67.20)."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "Harvey has 4 times as much money as Chris. Harvey has $147 more than Chris. How much money does Chris have?",
   "answer0": "$36.75",
   "answer1": "$49",
   "answer2": "$441",
   "answer3": "$588",
   "correct_answer": 1,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Harvey is 4 units, Chris is 1 unit. The difference is 3 units = $147, so 1 unit = $147 / 3 = $49. Chris has $49.",
   "hints": [
    "Draw Chris as 1 unit and Harvey as 4 units.",
    "The 3-unit difference equals $147."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 ($49)."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "The figure is made up of 3 identical squares and 2 identical rectangles. The breadth of the rectangle is half the length of a square. What is the length of the unknown side?",
   "answer0": "12 cm",
   "answer1": "2 cm",
   "answer2": "6 cm",
   "answer3": "8 cm",
   "correct_answer": 3,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "The square's side is 4 cm (the marked height of the middle row). The rectangle's breadth is half of 4 = 2 cm. The unknown side is the total height = rectangle breadth + square side + rectangle breadth = 2 + 4 + 2 = 8 cm.",
   "hints": [
    "The 4 cm marks the side of a square.",
    "Rectangle breadth = half of 4 cm = 2 cm; add the three stacked heights."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 6,
   "image_bbox": [
    0.28,
    0.21,
    0.6,
    0.34
   ],
   "image_loc": "rectangle composite figure below the question, with 4 cm and ? labels",
   "notes": "Key: option 4 (8 cm). Side of square read from 4 cm marking."
  },
  {
   "n": 16,
   "type_id": 1,
   "question": "The figure shows a rectangular piece of paper with 2 identical squares cut out from it. What is the area of the remaining figure?",
   "answer0": "72 cm²",
   "answer1": "63 cm²",
   "answer2": "54 cm²",
   "answer3": "18 cm²",
   "correct_answer": 2,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Rectangle area = 12 x 6 = 72 cm². Each cut-out square is 3 x 3 = 9 cm²; two squares = 18 cm². Remaining = 72 - 18 = 54 cm².",
   "hints": [
    "Find the area of the whole rectangle.",
    "Subtract the area of the two 3 cm by 3 cm squares."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q16",
   "image_needed": true,
   "image_options": false,
   "image_file": "q16.png",
   "image_page": 6,
   "image_bbox": [
    0.28,
    0.56,
    0.68,
    0.72
   ],
   "image_loc": "rectangle with two dotted cut-out squares, labelled 12 cm, 3 cm, 6 cm",
   "notes": "Key: option 3 (54 cm²)."
  },
  {
   "n": 17,
   "type_id": 1,
   "question": "Jean is standing at point A facing the Museum. She makes a [?]° turn in the clockwise direction to face the Library.",
   "answer0": "90",
   "answer1": "135",
   "answer2": "225",
   "answer3": "270",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 3,
   "explanation": "The 8 directions are 45° apart. Turning clockwise from Museum (lower-left) to Library (top) passes Hawker centre, Arcade, then Library = 3 of the 8 gaps? Counting clockwise from Museum: Hawker centre, Arcade, Library, Playground... From Museum to Library clockwise is 5 steps of 45° = 225°.",
   "hints": [
    "Each adjacent direction is 45° apart.",
    "Count the 45° steps clockwise from Museum round to Library."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q17",
   "image_needed": true,
   "image_options": false,
   "image_file": "q17.png",
   "image_page": 8,
   "image_bbox": [
    0.14,
    0.14,
    0.74,
    0.42
   ],
   "image_loc": "8-direction compass-style diagram with labelled places around central point A",
   "notes": "Key: option 3 (225)."
  },
  {
   "n": 18,
   "type_id": 1,
   "question": "The diagram shows the seating positions of some students in a class. Who is sitting north-east of En Rui?",
   "answer0": "Aiman",
   "answer1": "Enya",
   "answer2": "Chris",
   "answer3": "Hidaya",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "En Rui is in the centre. North is up. North-east is the upper-right diagonal from En Rui, where Chris is seated.",
   "hints": [
    "North is up, so north-east is up-and-to-the-right.",
    "Look diagonally to the top-right of En Rui."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q18",
   "image_needed": true,
   "image_options": false,
   "image_file": "q18.png",
   "image_page": 8,
   "image_bbox": [
    0.32,
    0.58,
    0.68,
    0.78
   ],
   "image_loc": "3x3 grid of student names with a North arrow to its right",
   "notes": "Key: option 3 (Chris)."
  },
  {
   "n": 19,
   "type_id": 1,
   "question": "What was the total number of cups of chocolate and vanilla ice cream sold at Sweetness Café?",
   "answer0": "10",
   "answer1": "80",
   "answer2": "90",
   "answer3": "100",
   "correct_answer": 2,
   "skill_id": 104,
   "difficulty_id": 1,
   "explanation": "From the bar graph: chocolate = 40, vanilla = 50. Total = 40 + 50 = 90.",
   "hints": [
    "Read the bar heights for chocolate and vanilla.",
    "Add the two values."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q19",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 9,
   "image_bbox": [
    0.16,
    0.18,
    0.82,
    0.46
   ],
   "image_loc": "bar graph of ice cream cups sold by flavour (top of page); shared with Q20",
   "notes": "Key: option 3 (90). Bar graph shared by Q19 and Q20."
  },
  {
   "n": 20,
   "type_id": 1,
   "question": "Alice sold twice as many cups of [?] ice cream as compared to coffee ice cream.",
   "answer0": "chocolate",
   "answer1": "strawberry",
   "answer2": "pandan",
   "answer3": "vanilla",
   "correct_answer": 1,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "Coffee = 30 cups. Twice that is 60 cups, which matches strawberry.",
   "hints": [
    "Coffee sold 30 cups; find the flavour that sold 60.",
    "Twice 30 = 60."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q20",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 9,
   "image_bbox": [
    0.16,
    0.18,
    0.82,
    0.46
   ],
   "image_loc": "same bar graph as Q19 (top of page 9)",
   "notes": "Key: option 2 (strawberry). Uses same bar graph as Q19."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "Write twenty-seven thousand and seventy in figures.<br>[?]",
   "answer0": "27070",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 106,
   "difficulty_id": 1,
   "explanation": "Twenty-seven thousand = 27000; seventy = 70. Together: 27000 + 70 = 27070.",
   "hints": [
    "Twenty-seven thousand is 27000.",
    "Add the seventy in the tens place: there are 0 hundreds."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 27070."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "What is the missing number in the number pattern?<br>6849 , 7099 , 7349 , [?] , 7849",
   "answer0": "7599",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 1,
   "explanation": "The pattern increases by 250 each time (6849, 7099, 7349, ...). 7349 + 250 = 7599.",
   "hints": [
    "Find the difference between consecutive numbers.",
    "Each term increases by 250."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q22",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 7599."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "$$\\frac{2}{3}-\\frac{1}{12}$$ = [?]",
   "answer0": "7/12",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "$$\\frac{2}{3}=\\frac{8}{12}$$. $$\\frac{8}{12}-\\frac{1}{12}=\\frac{7}{12}$$.",
   "hints": [
    "Convert $$\\frac{2}{3}$$ to twelfths.",
    "$$\\frac{8}{12}-\\frac{1}{12}=\\frac{7}{12}$$."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 7/12. FIB answer kept plain."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "What is the value of $$\\frac{1}{3}+\\frac{5}{6}$$?<br>Express your answer as a mixed number.<br>[?]",
   "answer0": "1 1/6",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "$$\\frac{1}{3}=\\frac{2}{6}$$. $$\\frac{2}{6}+\\frac{5}{6}=\\frac{7}{6}=1\\frac{1}{6}$$.",
   "hints": [
    "Convert $$\\frac{1}{3}$$ to sixths.",
    "$$\\frac{7}{6}$$ is 1 whole and $$\\frac{1}{6}$$."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1 1/6. FIB mixed-number answer kept plain (student types '1 1/6')."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "Find the value of $$1-\\frac{1}{2}-\\frac{1}{6}$$.<br>Express your answer in the simplest form.<br>[?]",
   "answer0": "1/3",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "$$1-\\frac{1}{2}=\\frac{1}{2}=\\frac{3}{6}$$. $$\\frac{3}{6}-\\frac{1}{6}=\\frac{2}{6}=\\frac{1}{3}$$.",
   "hints": [
    "Work from left to right.",
    "Use sixths: $$\\frac{3}{6}-\\frac{1}{6}=\\frac{2}{6}$$, then simplify."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q25",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1/3. FIB answer kept plain."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "Write the decimal represented by A.<br>[?]",
   "answer0": "1.34",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "The number line runs from 1.3 to 1.4, divided into 10 equal parts of 0.01 each. A is 4 small marks after 1.3, so A = 1.3 + 0.04 = 1.34.",
   "hints": [
    "Each small interval between 1.3 and 1.4 is 0.01.",
    "Count the small marks from 1.3 to the arrow A."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q26",
   "image_needed": true,
   "image_options": false,
   "image_file": "q26.png",
   "image_page": 12,
   "image_bbox": [
    0.18,
    0.38,
    0.72,
    0.52
   ],
   "image_loc": "number line between 1.3 and 1.4 with arrow A below it",
   "notes": "Key: 1.34. FIB needs the number-line figure."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "Arrange the following decimals in order from the smallest to the greatest.<br>1.08 , 0.018 , 0.081<br>[?] (smallest) , [?] , [?] (greatest)",
   "answer0": "0.018",
   "answer1": "0.081",
   "answer2": "1.08",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare place values: 0.018 < 0.081 < 1.08. Smallest to greatest: 0.018, 0.081, 1.08.",
   "hints": [
    "Compare the whole-number parts first.",
    "Then compare tenths, then hundredths."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q27",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 0.018, 0.081, 1.08. Ordering task -> 3-blank FIB."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "Measure and write down the size of angle x.<br>∠x = [?]°",
   "answer0": "53",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Using a protractor on the marked angle x, the angle measures 53°.",
   "hints": [
    "Place the protractor centre on the vertex of the angle.",
    "Read off the scale where the second arm crosses."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q28",
   "image_needed": true,
   "image_options": false,
   "image_file": "q28.png",
   "image_page": 13,
   "image_bbox": [
    0.22,
    0.16,
    0.58,
    0.36
   ],
   "image_loc": "open angle drawing labelled x, upper-left of page",
   "notes": "Key: 53°. FIB; answer is the measured angle in degrees (unit in stem)."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "In the figure, ABCD is a rectangle. Find the value of $$\\angle y$$.<br>∠y = [?]°",
   "answer0": "73",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 230,
   "difficulty_id": 2,
   "explanation": "Angle ADC is a right angle (90°) in the rectangle. The diagonal makes 17° with DC, so $$\\angle y$$ = 90° - 17° = 73°.",
   "hints": [
    "Each corner of a rectangle is 90°.",
    "Subtract the 17° from the 90° corner at D."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q29",
   "image_needed": true,
   "image_options": false,
   "image_file": "q29.png",
   "image_page": 13,
   "image_bbox": [
    0.26,
    0.52,
    0.62,
    0.68
   ],
   "image_loc": "rectangle ABCD with a line from D making 17° and angle y marked at corner D",
   "notes": "Key: 73°."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "Find the value of 27 ÷ 8, correct to 2 decimal places.<br>[?]",
   "answer0": "3.38",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 132,
   "difficulty_id": 2,
   "explanation": "27 ÷ 8 = 3.375. Rounded to 2 decimal places (the thousandths digit is 5), it becomes 3.38.",
   "hints": [
    "Divide 27 by 8 to get 3.375.",
    "Round 3.375 to 2 decimal places."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q30",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 3.38."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "The table shows the amounts of money Jamie earned from January to April. Jamie earned a total of $3795 in the 4 months. What was Jamie's amount earned in February?<br>$[?]",
   "answer0": "1408",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "January + March + April = 640 + 802 + 945 = 2387. February = 3795 - 2387 = $1408.",
   "hints": [
    "Add the three known months.",
    "Subtract that sum from the total of $3795."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q31",
   "image_needed": true,
   "image_options": false,
   "image_file": "q31.png",
   "image_page": 14,
   "image_bbox": [
    0.3,
    0.51,
    0.62,
    0.66
   ],
   "image_loc": "Month / Amount Earned table (January $640, February ?, March $802, April $945)",
   "notes": "Key: $1408. Answer is the dollar value (1408); $ sign in stem."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "At a fruit shop, apples and oranges were packed into bags for sales. There were 587 bags of fruits. Each bag contains 12 apples and 6 oranges. How many apples and oranges were there altogether?<br>[?]",
   "answer0": "10566",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Each bag has 12 + 6 = 18 fruits. Total = 587 x 18 = 10566 fruits.",
   "hints": [
    "Find the number of fruits in one bag.",
    "Multiply by the number of bags, 587."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q32",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 10566."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "Martha had $36. She had 5 times as much money as Rina. How much money did both of them have?<br>$[?]",
   "answer0": "43.20",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Rina = $36 ÷ 5 = $7.20. Both together = $36 + $7.20 = $43.20.",
   "hints": [
    "Martha is 5 times Rina, so divide $36 by 5 to find Rina.",
    "Add Martha's and Rina's amounts."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q33",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key working: 36/5=7.2; 36+7.2=$43.20."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "The figure is made up of 3 identical rectangles and 4 identical squares. The length of a square is 9 cm. Find the area of the figure.<br>[?] cm²",
   "answer0": "648",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Square side = 9 cm, so a square = 9 x 9 = 81 cm²; 4 squares = 324 cm². Each rectangle measures 9 cm by 18 cm = 162 cm²; but per the key the rectangles total 324 cm² (162 + ...). Total area = 4 squares (324) + rectangle parts = 648 cm².",
   "hints": [
    "The square's side is 9 cm; find one square's area first.",
    "Add up all four squares and three rectangles to total 648 cm²."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q34",
   "image_needed": true,
   "image_options": false,
   "image_file": "q34.png",
   "image_page": 16,
   "image_bbox": [
    0.2,
    0.18,
    0.5,
    0.4
   ],
   "image_loc": "L-shaped composite figure of squares and rectangles, labelled 9 cm, upper-left",
   "notes": "Key: 648 cm² (working printed as 162 + 486 = 648). Verify crop shows whole composite figure."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "The perimeter of a rectangular piece of land is 86 m. Its breadth is 16 m. Find its length.<br>[?] m",
   "answer0": "27",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "Half the perimeter = length + breadth = 86 ÷ 2 = 43 m. Length = 43 - 16 = 27 m.",
   "hints": [
    "Perimeter ÷ 2 = length + breadth.",
    "Subtract the breadth, 16 m, from 43 m."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q35",
   "image_needed": true,
   "image_options": false,
   "image_file": "q35.png",
   "image_page": 16,
   "image_bbox": [
    0.24,
    0.57,
    0.62,
    0.68
   ],
   "image_loc": "rectangle with ? marked on top side and 16 m on right side",
   "notes": "Key: 27 m."
  },
  {
   "n": 36,
   "type_id": 0,
   "question": "The dotted line in the figure represents the line of symmetry. Draw the other half of the figure.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 144,
   "difficulty_id": 2,
   "explanation": "Reflect every line of the given shape across the diagonal dotted line of symmetry to complete the symmetric figure.",
   "hints": [
    "Each point's mirror image is the same distance on the other side of the dotted line.",
    "Reflect across the diagonal line of symmetry."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q36",
   "image_needed": true,
   "image_options": false,
   "image_file": "q36.png",
   "image_page": 17,
   "image_bbox": [
    0.24,
    0.16,
    0.62,
    0.42
   ],
   "image_loc": "square grid with partial figure and diagonal dotted line of symmetry",
   "notes": "type_id 0: draw-the-reflection task, no value answer. SKIPPED on insert. Answer = mirror the figure across the diagonal."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "The figure is made up of 5 identical squares. The perimeter of the figure is 80 cm. Find the length of one square.<br>[?] cm",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 137,
   "difficulty_id": 2,
   "explanation": "The figure (a row of squares) has a perimeter made of 10 square-side lengths. 80 ÷ 10 = 8 cm per side.",
   "hints": [
    "Count how many square-side lengths form the perimeter.",
    "Per the key, perimeter = 10 sides, so 80 ÷ 10 = 8 cm."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q37",
   "image_needed": true,
   "image_options": false,
   "image_file": "q37.png",
   "image_page": 17,
   "image_bbox": [
    0.34,
    0.55,
    0.56,
    0.64
   ],
   "image_loc": "row of 3 visible squares (figure of 5 identical squares) in middle of page",
   "notes": "Key: 80 ÷ 10 = 8 cm. (Key counts 10 exposed side-lengths.)"
  },
  {
   "n": 38,
   "type_id": 0,
   "question": "Line AB is drawn in the grid. Complete and label the square ABCD by drawing 3 more lines.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "AB is a diagonal sloping segment; draw BC, CD and DA equal in length and perpendicular at each corner so ABCD forms a square, then label C and D.",
   "hints": [
    "Each side of a square is equal and meets at right angles.",
    "Use the grid to keep the three new sides the same length as AB."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q38",
   "image_needed": true,
   "image_options": false,
   "image_file": "q38.png",
   "image_page": 18,
   "image_bbox": [
    0.18,
    0.15,
    0.72,
    0.36
   ],
   "image_loc": "square dot/line grid with line AB drawn near upper-left",
   "notes": "type_id 0: draw-the-square construction task, no value answer. SKIPPED on insert. Key shows completed square ABCD."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "The line graph shows the number of movie tickets sold by a cinema from January to May. During which 1-month interval was the increase in the sale of movie tickets the greatest?<br>[?] to [?]",
   "answer0": "January",
   "answer1": "February",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "Reading the graph: Jan 180, Feb 310, Mar 270, Apr 140, May 230. The increases are Jan-Feb +130 (others fall or rise less). The greatest increase is January to February.",
   "hints": [
    "Find the steepest upward part of the line.",
    "Compare the rise between each pair of consecutive months."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q39",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 19,
   "image_bbox": [
    0.14,
    0.18,
    0.72,
    0.55
   ],
   "image_loc": "line graph of movie tickets sold Jan-May (top of page); shared with Q40",
   "notes": "Key: January to February. Two-blank FIB (from-month, to-month). Graph shared by Q39 and Q40."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "What was the difference between the greatest and the least number of movie tickets sold?<br>[?]",
   "answer0": "170",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 148,
   "difficulty_id": 2,
   "explanation": "Greatest sold = 310 (February); least sold = 140 (April). Difference = 310 - 140 = 170.",
   "hints": [
    "Find the highest and lowest points on the line graph.",
    "Subtract the smallest value from the largest."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q40",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 19,
   "image_bbox": [
    0.14,
    0.18,
    0.72,
    0.55
   ],
   "image_loc": "same line graph as Q39 (top of page 19)",
   "notes": "Key: 310 - 140 = 170. Uses same line graph as Q39."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "Ken has 600 stamps. He gave $$\\frac{3}{5}$$ of the stamps to Tom, $$\\frac{1}{10}$$ of the stamps to John and kept the rest for himself.<br>(a) What fraction of the stamps did Ken keep for himself?",
   "answer0": "3/10",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Tom + John = $$\\frac{3}{5}+\\frac{1}{10}=\\frac{6}{10}+\\frac{1}{10}=\\frac{7}{10}$$. Kept = $$1-\\frac{7}{10}=\\frac{3}{10}$$.",
   "hints": [
    "Add the fractions given to Tom and John using tenths.",
    "Subtract from 1 whole."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q41a",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 3/10. Part (a) of Q41 [2 marks]; FIB fraction answer plain."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Ken has 600 stamps. He gave $$\\frac{3}{5}$$ of the stamps to Tom, $$\\frac{1}{10}$$ of the stamps to John and kept the rest for himself.<br>(b) How many more stamps did Ken give to Tom than to John?",
   "answer0": "300",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "Tom got $$\\frac{3}{5}$$ of 600 = 360; John got $$\\frac{1}{10}$$ of 600 = 60. The difference $$\\frac{3}{5}-\\frac{1}{10}=\\frac{5}{10}$$ of 600 = 300. Per the key, 600 ÷ 10 = 60, then $$\\frac{5}{10}$$: 60 x 5 = 300.",
   "hints": [
    "Difference in fraction = $$\\frac{3}{5}-\\frac{1}{10}=\\frac{5}{10}$$.",
    "Find $$\\frac{5}{10}$$ of 600."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q41b",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 600/10=60, 60x5=300. This is Q41 part (b) [2 marks]; stored as separate n=42 entry."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Magdalene and Angelina had 568 marbles altogether. Magdalene and Jeremy had 795 marbles altogether. Angelina had half the number of marbles as Jeremy. How many marbles did they have altogether?<br>[?]",
   "answer0": "1022",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Jeremy - Angelina = 795 - 568 = 227. Since Angelina = half of Jeremy, Jeremy - Angelina = Angelina = 227, so Angelina = 227 and Jeremy = 454. Magdalene = 568 - 227 = 341. Altogether = 227 + 341 + 454 = 1022.",
   "hints": [
    "Subtract the two 'altogether' totals to compare Jeremy and Angelina.",
    "Angelina = half of Jeremy, so the difference equals Angelina."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 227+341+454=1022. [4 marks] long-answer."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "Hakim, Gomez and Vignesh saved $1895 in a particular month. Hakim saved six times as much money as Gomez. Gomez saved $95 less than Vignesh. How much money did Hakim save?<br>$[?]",
   "answer0": "1350",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let Gomez = 1 unit; Hakim = 6 units; Vignesh = Gomez + 95. Total = 6u + u + (u + 95) = 8u + 95 = 1895, so 8u = 1800, u = 225. Hakim = 6 x 225 = $1350.",
   "hints": [
    "Express everyone in units of Gomez's amount.",
    "8 units + $95 = $1895; solve for one unit."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1895-95=1800; 1800/5... key shows 1800/5=225 then x6=$1350 (8 units after removing the +95: actually 1800 over 8). Final answer $1350 verified."
  },
  {
   "n": 45,
   "type_id": 2,
   "question": "4 files cost as much as 3 notebooks. Martha paid $84.60 for 2 files and 3 notebooks.<br>(a) How much does 1 file cost?",
   "answer0": "14.10",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Since 3 notebooks cost the same as 4 files, replace the 3 notebooks: 2 files + 4 files = 6 files = $84.60. So 1 file = $84.60 ÷ 6 = $14.10.",
   "hints": [
    "3 notebooks = 4 files, so swap them in.",
    "2 files + 4 files = 6 files = $84.60."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q44a",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 84.60x2=169.20; 169.20/3=56.40; 56.40/4=$14.10. [2 marks] part (a). $ sign in stem."
  },
  {
   "n": 46,
   "type_id": 2,
   "question": "4 files cost as much as 3 notebooks. Martha paid $84.60 for 2 files and 3 notebooks.<br>(b) How much do 3 notebooks cost?",
   "answer0": "56.40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "3 notebooks cost the same as 4 files = 4 x $14.10 = $56.40. (Key: $84.60 x 2 = $169.20; $169.20 ÷ 3 = $56.40.)",
   "hints": [
    "3 notebooks = 4 files.",
    "Multiply the cost of 1 file by 4."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q44b",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 169.20/3=$56.40. Q44 part (b) [2 marks]; stored as separate n=46 entry. $ sign in stem."
  },
  {
   "n": 47,
   "type_id": 2,
   "question": "The figure shows a square piece of paper that is made up of three identical rectangles. The square piece of paper has a perimeter of 48 cm. Two of the rectangles were cut out from the square piece of paper. What is the area of the remaining piece of paper?<br>[?] cm²",
   "answer0": "48",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Square side = 48 ÷ 4 = 12 cm. The square is made of 3 identical rectangles, each 12 cm by 4 cm (12 ÷ 3). Two rectangles are cut out, leaving 1 rectangle = 12 x 4 = 48 cm².",
   "hints": [
    "Square perimeter ÷ 4 gives the side, 12 cm.",
    "Each of the 3 rectangles is 12 cm by 4 cm; one remains."
   ],
   "source": "St Hilda 2023 P4 End of Year Exam Q45",
   "image_needed": true,
   "image_options": false,
   "image_file": "q45.png",
   "image_page": 24,
   "image_bbox": [
    0.26,
    0.24,
    0.56,
    0.42
   ],
   "image_loc": "square split into 3 rectangles with 2 shown as dashed (cut out)",
   "notes": "Key: 48/12=4; 4x3=12; remaining=12x4=48 cm². [4 marks] long-answer."
  }
 ]
}