{
 "paper": {
  "school": "Catholic High",
  "year": 2023,
  "level": "P4",
  "label": "End of Year Exam",
  "source_prefix": "Catholic High 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 700?",
   "answer0": "4507",
   "answer1": "5470",
   "answer2": "5740",
   "answer3": "7540",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "The digit 7 stands for 700 when it is in the hundreds place. In 5740, the 7 is in the hundreds place, so it stands for 700. Answer: 5740.",
   "hints": [
    "Look at which place the digit 7 occupies.",
    "Hundreds place means the digit's value is that digit × 100."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 5740 (0-based index 2)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "27 358 rounded to the nearest hundred is [?].",
   "answer0": "27 000",
   "answer1": "27 300",
   "answer2": "27 360",
   "answer3": "27 400",
   "correct_answer": 3,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "To round 27 358 to the nearest hundred, look at the tens digit (5). Since 5 ≥ 5, round up: the hundreds digit 3 becomes 4 and the tens/ones become 0. Answer: 27 400.",
   "hints": [
    "The tens digit decides rounding to the nearest hundred.",
    "Tens digit is 5, so round up."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = 27 400 (index 3)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "In the number 68.59, the digit [?] is in the tenths place.",
   "answer0": "6",
   "answer1": "8",
   "answer2": "5",
   "answer3": "9",
   "correct_answer": 2,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "In a decimal, the first digit after the decimal point is the tenths place. In 68.59 the digit right after the point is 5. Answer: 5.",
   "hints": [
    "The first digit after the decimal point is the tenths.",
    "68.5 9 — the 5 is the tenths digit."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 5 (index 2)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Which of the following is not a factor of 56?",
   "answer0": "6",
   "answer1": "2",
   "answer2": "8",
   "answer3": "4",
   "correct_answer": 0,
   "skill_id": 112,
   "difficulty_id": 1,
   "explanation": "Check each: 56 ÷ 2 = 28, 56 ÷ 8 = 7, 56 ÷ 4 = 14 (all exact, so they are factors). 56 ÷ 6 = 9 remainder 2, so 6 is NOT a factor. Answer: 6.",
   "hints": [
    "A factor divides the number exactly with no remainder.",
    "Test 56 ÷ 6."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = 6 (index 0)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "$$5\\frac{2}{9}$$ = $$\\frac{[?]}{9}$$<br>What is the missing number in the box?",
   "answer0": "10",
   "answer1": "43",
   "answer2": "45",
   "answer3": "47",
   "correct_answer": 3,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "Convert the mixed number to an improper fraction: 5 × 9 + 2 = 47, over 9. So the missing numerator is 47. Answer: 47.",
   "hints": [
    "Improper numerator = whole × denominator + numerator.",
    "5 × 9 + 2 = 47."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = 47 (index 3). The box in the stem is the unknown numerator over 9."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "Find the value of $$\\frac{5}{12}-\\frac{1}{4}$$",
   "answer0": "$$\\frac{1}{6}$$",
   "answer1": "$$\\frac{1}{2}$$",
   "answer2": "$$\\frac{1}{3}$$",
   "answer3": "$$\\frac{1}{12}$$",
   "correct_answer": 0,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Make denominators the same: $$\\frac{1}{4}=\\frac{3}{12}$$. Then $$\\frac{5}{12}-\\frac{3}{12}=\\frac{2}{12}=\\frac{1}{6}$$. Answer: $$\\frac{1}{6}$$.",
   "hints": [
    "Convert $$\\frac{1}{4}$$ to twelfths.",
    "$$\\frac{5}{12}-\\frac{3}{12}$$, then simplify."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = 1/6 (index 0)."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "Express $$\\frac{3}{4}$$ as a decimal.",
   "answer0": "0.34",
   "answer1": "0.43",
   "answer2": "0.75",
   "answer3": "0.075",
   "correct_answer": 2,
   "skill_id": 127,
   "difficulty_id": 1,
   "explanation": "Make an equivalent fraction with denominator 100: $$\\frac{3}{4}=\\frac{75}{100}$$ = 0.75. Answer: 0.75.",
   "hints": [
    "Find an equivalent fraction over 100.",
    "3/4 = 75/100."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 0.75 (index 2)."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Which of the following is a multiple of both 3 and 7?",
   "answer0": "10",
   "answer1": "27",
   "answer2": "35",
   "answer3": "42",
   "correct_answer": 3,
   "skill_id": 115,
   "difficulty_id": 1,
   "explanation": "A common multiple of 3 and 7 must be a multiple of 21. 42 = 21 × 2, and 42 ÷ 3 = 14, 42 ÷ 7 = 6, both exact. Answer: 42.",
   "hints": [
    "It must divide by both 3 and 7.",
    "Common multiples of 3 and 7 are multiples of 21."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = 42 (index 3)."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Which angle is greater than a right angle?",
   "answer0": "∠e",
   "answer1": "∠f",
   "answer2": "∠g",
   "answer3": "∠h",
   "correct_answer": 1,
   "skill_id": 99,
   "difficulty_id": 2,
   "explanation": "A right angle is 90°. In the triangle figure, ∠e (top) is acute, ∠g and ∠h (base) are acute, while ∠f is obtuse (greater than a right angle). Answer: ∠f.",
   "hints": [
    "A right angle is exactly 90°; greater means obtuse.",
    "Compare each marked angle to a square corner."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q9",
   "image_needed": true,
   "image_options": false,
   "image_file": "q9.png",
   "image_page": 5,
   "image_bbox": [
    0.27,
    0.27,
    0.62,
    0.45
   ],
   "image_loc": "triangle figure with marked angles e, f, g, h below the question",
   "notes": "Key: option 2 = ∠f (index 1)."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "Arrange these numbers from the smallest to the greatest.<br>0.204 , 0.402 , 0.24 , 0.42",
   "answer0": "0.204 , 0.24 , 0.402 , 0.42",
   "answer1": "0.204 , 0.42 , 0.24 , 0.402",
   "answer2": "0.42 , 0.402 , 0.24 , 0.204",
   "answer3": "0.402 , 0.42 , 0.204 , 0.24",
   "correct_answer": 0,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare by place value: 0.204 < 0.24 < 0.402 < 0.42. (0.204 and 0.24 share tenths 2, then hundredths 0 < 4; 0.402 and 0.42 share tenths 4, then hundredths 0 < 2.) Answer: 0.204, 0.24, 0.402, 0.42.",
   "hints": [
    "Compare tenths first, then hundredths.",
    "0.24 = 0.240 to compare with 0.204."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = ascending order (index 0)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "Julia bought a book for $18.90 and a pencil box for $7.50. She gave the cashier $50. How much change did she get?",
   "answer0": "$11.40",
   "answer1": "$23.60",
   "answer2": "$26.40",
   "answer3": "$31.10",
   "correct_answer": 1,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Total spent = $18.90 + $7.50 = $26.40. Change = $50 − $26.40 = $23.60. Answer: $23.60.",
   "hints": [
    "Add the two prices first.",
    "Subtract the total from $50."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 = $23.60 (index 1)."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "The table shows the duration of different activities held at a children's workshop.<br>Art Jamming — 2 h 45 min<br>Build-A-Bear — 1 h 45 min<br>Creative Music — 1 h 15 min<br>Dino Dash — 2 h 15 min<br>Rachel started an activity at 09 35 and ended at 11 50. Which activity did she participate in?",
   "answer0": "Art Jamming",
   "answer1": "Build-A-Bear",
   "answer2": "Creative Music",
   "answer3": "Dino Dash",
   "correct_answer": 3,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "From 09 35 to 11 50: 09 35 to 11 35 is 2 h, plus 35 to 50 is 15 min, total 2 h 15 min. That matches Dino Dash. Answer: Dino Dash.",
   "hints": [
    "Find the duration from 09 35 to 11 50.",
    "Count whole hours then the extra minutes."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = Dino Dash (index 3). Table values transcribed into the stem; figure not required as the four options carry the data."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "Henry has some stamps. John has 3 times as many stamps as Henry. They have 2700 stamps altogether. How many stamps does Henry have?",
   "answer0": "675",
   "answer1": "900",
   "answer2": "1350",
   "answer3": "2025",
   "correct_answer": 0,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Henry = 1 unit, John = 3 units, total = 4 units = 2700. 1 unit = 2700 ÷ 4 = 675. Henry has 675 stamps. Answer: 675.",
   "hints": [
    "Total units = 1 + 3 = 4.",
    "Divide 2700 by 4."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = 675 (index 0)."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "The table shows the number of chicken wings eaten by a group of children at a party.<br>Wings eaten by each child: 0, 1, 2, 3<br>Number of children: 5, 3, 8, 12<br>What was the total number of chicken wings eaten by the children at the party?",
   "answer0": "23",
   "answer1": "28",
   "answer2": "55",
   "answer3": "60",
   "correct_answer": 2,
   "skill_id": 148,
   "difficulty_id": 2,
   "explanation": "Total wings = (0×5) + (1×3) + (2×8) + (3×12) = 0 + 3 + 16 + 36 = 55. Answer: 55.",
   "hints": [
    "Multiply wings per child by number of children for each column.",
    "Add all the products."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 55 (index 2). Table data transcribed into stem."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "Thomas went for a movie which ended at 18 00. The movie lasted 2 h 15 min. What time did the movie start?",
   "answer0": "15 45",
   "answer1": "16 15",
   "answer2": "20 15",
   "answer3": "20 45",
   "correct_answer": 0,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "Subtract the duration from the end time: 18 00 − 2 h = 16 00, then − 15 min = 15 45. Answer: 15 45.",
   "hints": [
    "Work backwards from 18 00.",
    "Subtract the hours then the minutes."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = 15 45 (index 0)."
  },
  {
   "n": 16,
   "type_id": 1,
   "question": "The length of a bus is 12.1 m when rounded to 1 decimal place. Which of the following is the greatest possible length of the bus?",
   "answer0": "12.05 m",
   "answer1": "12.09 m",
   "answer2": "12.14 m",
   "answer3": "12.19 m",
   "correct_answer": 2,
   "skill_id": 128,
   "difficulty_id": 3,
   "explanation": "A length rounds to 12.1 if it is from 12.05 up to but not including 12.15. Among the options, the greatest value that still rounds to 12.1 is 12.14 m (12.19 rounds to 12.2). Answer: 12.14 m.",
   "hints": [
    "Numbers from 12.05 to under 12.15 round to 12.1.",
    "12.19 would round up to 12.2."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 12.14 m (index 2)."
  },
  {
   "n": 17,
   "type_id": 1,
   "question": "The following figures are made up of identical squares. Which of the following figures is symmetrical?",
   "answer0": "Figure 1",
   "answer1": "Figure 2",
   "answer2": "Figure 3",
   "answer3": "Figure 4",
   "correct_answer": 3,
   "skill_id": 144,
   "difficulty_id": 2,
   "explanation": "A figure is symmetrical if one half is the mirror image of the other about a line. Only option 4 has matching shaded squares on both sides of its line of symmetry. Answer: Figure 4.",
   "hints": [
    "Check if folding along the drawn line makes the two halves match.",
    "The shaded squares must mirror across the line."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q17",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "notes": "Key: option 4 (index 3). Image-option MCQ: four grid-of-squares figures each with a symmetry line. Crop each option to q17_opt0.png … q17_opt3.png.",
   "image_opt_bboxes": {
    "q17_opt0.png": {
     "page": 8,
     "bbox": [
      0.22,
      0.16,
      0.34,
      0.25
     ]
    },
    "q17_opt1.png": {
     "page": 8,
     "bbox": [
      0.22,
      0.26,
      0.35,
      0.34
     ]
    },
    "q17_opt2.png": {
     "page": 8,
     "bbox": [
      0.24,
      0.36,
      0.34,
      0.44
     ]
    },
    "q17_opt3.png": {
     "page": 8,
     "bbox": [
      0.22,
      0.45,
      0.34,
      0.53
     ]
    }
   }
  },
  {
   "n": 18,
   "type_id": 1,
   "question": "In the figure shown, ABCD is a square. Find ∠y.",
   "answer0": "16°",
   "answer1": "45°",
   "answer2": "61°",
   "answer3": "74°",
   "correct_answer": 0,
   "skill_id": 140,
   "difficulty_id": 3,
   "explanation": "∠ADC of the square is 90°. The 45° and ∠y and 29° together make up this right angle: 45° + ∠y + 29° = 90°, so ∠y = 90° − 45° − 29° = 16°. Answer: 16°.",
   "hints": [
    "The corner of a square is 90°.",
    "45° + y + 29° = 90°."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q18",
   "image_needed": true,
   "image_options": false,
   "image_file": "q18.png",
   "image_page": 8,
   "image_bbox": [
    0.3,
    0.56,
    0.58,
    0.73
   ],
   "image_loc": "square ABCD with two diagonals from D, marked 45°, y, 29° at corner D",
   "notes": "Key: option 1 = 16° (index 0)."
  },
  {
   "n": 19,
   "type_id": 1,
   "question": "The perimeter of rectangle ABCD is 50 cm. Its breadth is 8 cm. What is the length of rectangle ABCD?",
   "answer0": "16 cm",
   "answer1": "17 cm",
   "answer2": "21 cm",
   "answer3": "34 cm",
   "correct_answer": 1,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "Perimeter = 2 × (length + breadth). 50 = 2 × (length + 8), so length + 8 = 25, length = 17 cm. Answer: 17 cm.",
   "hints": [
    "Perimeter = 2 × (length + breadth).",
    "Half of 50 is 25; subtract the breadth."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q19",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 9,
   "image_bbox": [
    0.3,
    0.13,
    0.62,
    0.27
   ],
   "image_loc": "rectangle ABCD with breadth 8 cm marked and length labelled ?",
   "notes": "Key: option 2 = 17 cm (index 1)."
  },
  {
   "n": 20,
   "type_id": 1,
   "question": "Aaron and Brandon had a total of $567 at first. After Aaron gave Brandon $33, Aaron had twice as much money as Brandon. How much money did Brandon have at first?",
   "answer0": "$156",
   "answer1": "$189",
   "answer2": "$222",
   "answer3": "$255",
   "correct_answer": 0,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "The total stays $567 after the transfer. Then Aaron = 2 units, Brandon = 1 unit, 3 units = $567, so 1 unit = $189. Brandon after = $189, so Brandon at first = $189 − $33 = $156. Answer: $156.",
   "hints": [
    "The total of $567 does not change when money is transferred.",
    "After: Aaron is twice Brandon, so 3 units = $567. Then undo the $33 Brandon received."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q20",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = $156 (index 0)."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "Write six thousand and twenty in figures.<br>[?]",
   "answer0": "6020",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 106,
   "difficulty_id": 1,
   "explanation": "Six thousand = 6000, twenty = 20, with no hundreds and no tens-of-hundreds in between. 6000 + 20 = 6020. Answer: 6020.",
   "hints": [
    "Six thousand is 6000.",
    "Add twenty: 6000 + 20."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 6020."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "What is the missing number in the number pattern below?<br>85 211, 85 251, 85 291, [?], 85 371",
   "answer0": "85331",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 2,
   "explanation": "Each term increases by 40 (85 211 → 85 251 → 85 291). So the missing term = 85 291 + 40 = 85 331 (check: 85 331 + 40 = 85 371). Answer: 85 331.",
   "hints": [
    "Find the difference between consecutive terms.",
    "The step is +40."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q22",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 85331 (answer typed without space; store plain 85331)."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "When a number is divided by 6, it has a quotient of 1006 and remainder of 3. What is the number?",
   "answer0": "6039",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "Number = quotient × divisor + remainder = 1006 × 6 + 3 = 6036 + 3 = 6039. Answer: 6039.",
   "hints": [
    "Number = quotient × divisor + remainder.",
    "1006 × 6 + 3."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 6039."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "In the number line, what is the decimal represented by A?",
   "answer0": "9.194",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "From 9.19 to 9.2 is one tenth split into 10 equal parts, so each small mark is 0.001. A sits on the 4th mark after 9.19, so A = 9.19 + 4 × 0.001 = 9.194. Answer: 9.194.",
   "hints": [
    "The gap from 9.19 to 9.2 is divided into 10 equal parts.",
    "Each small interval is 0.001; count the marks to A."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q24",
   "image_needed": true,
   "image_options": false,
   "image_file": "q24.png",
   "image_page": 11,
   "image_bbox": [
    0.17,
    0.11,
    0.7,
    0.22
   ],
   "image_loc": "number line from 9.19 to 9.2 with arrow A pointing to a mark",
   "notes": "Key: 9.194."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "Use all the digits 3, 4, 6, 9 to form the largest even number. Each digit can only be used once.",
   "answer0": "9634",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 107,
   "difficulty_id": 3,
   "explanation": "An even number must end in an even digit (4 or 6). To make it largest, put the biggest digits first; the smaller even digit (4) goes last. Largest arrangement of 9, 6, 3 then 4 → 9634. Answer: 9634.",
   "hints": [
    "Even means the last digit must be 4 or 6.",
    "Keep the largest digits in front; end with the smaller even digit."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q25",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 9634."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "The line graph shows the number of televisions sold at a shop for the months of January to May. What was the difference between the highest and lowest sale of televisions recorded on the graph?",
   "answer0": "32",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "From the graph, the highest sale is in May (44) and the lowest is in February (12). Difference = 44 − 12 = 32. Answer: 32.",
   "hints": [
    "Read off the highest and lowest points.",
    "Subtract the lowest from the highest."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q26",
   "image_needed": true,
   "image_options": false,
   "image_file": "q26.png",
   "image_page": 12,
   "image_bbox": [
    0.1,
    0.16,
    0.72,
    0.4
   ],
   "image_loc": "line graph of televisions sold Jan-May, shared by Q26 and Q27",
   "notes": "Key: 32 (May 44 − Feb 12). Same graph used for Q27."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "The line graph shows the number of televisions sold at a shop for the months of January to May. During which 1-month interval was the increase in the sale of televisions recorded the greatest?<br>From [?] to [?]",
   "answer0": "April",
   "answer1": "May",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "Look for the steepest upward segment. Feb→Mar rises 12→32 (+20); Apr→May rises 20→44 (+24), the largest increase. Answer: from April to May.",
   "hints": [
    "Compare the rise of each upward segment.",
    "April to May has the steepest climb."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q27",
   "image_needed": true,
   "image_options": false,
   "image_file": "q27.png",
   "image_page": 12,
   "image_bbox": [
    0.1,
    0.16,
    0.72,
    0.4
   ],
   "image_loc": "same line graph as Q26 (Jan-May televisions sold)",
   "notes": "Key: April to May. Two-blank fill (From ___ to ___)."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "The perimeter of the square is 64 cm. Find the area of the square.<br>[?] $$cm^2$$",
   "answer0": "256",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 137,
   "difficulty_id": 2,
   "explanation": "Side of square = perimeter ÷ 4 = 64 ÷ 4 = 16 cm. Area = side × side = 16 × 16 = 256 cm². Answer: 256 cm².",
   "hints": [
    "A square has 4 equal sides; side = perimeter ÷ 4.",
    "Area = side × side."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q28",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 256 cm². Figure is just a labelled square (Perimeter = 64 cm); not required, all info in stem."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "Mr. Ben bought some flour. He used 250 g of it and packed the remaining flour equally into 6 packets. The mass of 1 such packet of flour was 175 g. How much flour did Mr. Ben buy?<br>[?] $$g$$",
   "answer0": "1300",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Flour packed = 6 × 175 = 1050 g. Total bought = flour used + flour packed = 250 + 1050 = 1300 g. Answer: 1300 g.",
   "hints": [
    "First find the total mass in the 6 packets.",
    "Add back the 250 g he used."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q29",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1300 g."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "Penny is standing at point A, facing the park. She turns through an angle of 135° in an anti-clockwise direction. What will she be facing?",
   "answer0": "Playground",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 142,
   "difficulty_id": 3,
   "explanation": "The 8 places are spaced 45° apart around A. Turning 135° anti-clockwise = 3 steps of 45°. Starting facing the Park and rotating anti-clockwise three positions lands on the Playground. Answer: Playground.",
   "hints": [
    "The places are 45° apart; 135° = 3 positions.",
    "Rotate anti-clockwise three places from the Park."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q30",
   "image_needed": true,
   "image_options": false,
   "image_file": "q30.png",
   "image_page": 14,
   "image_bbox": [
    0.13,
    0.14,
    0.72,
    0.37
   ],
   "image_loc": "8-point compass diagram of places around point A with North arrow",
   "notes": "Key: Playground. Word answer kept as single FIB matching key spelling."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "Eunice bought $$\\frac{3}{5}$$ m of ribbon to tie a present. Sarah bought $$\\frac{1}{2}$$ m more ribbon than Eunice to make bows. How much ribbon did they buy altogether?<br>[?] $$m$$",
   "answer0": "1 7/10",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Sarah's ribbon = $$\\frac{3}{5}+\\frac{1}{2}=\\frac{6}{10}+\\frac{5}{10}=\\frac{11}{10}=1\\frac{1}{10}$$ m. Altogether = Eunice + Sarah = $$\\frac{6}{10}+1\\frac{1}{10}=1\\frac{7}{10}$$ m. Answer: $$1\\frac{7}{10}$$ m.",
   "hints": [
    "First find Sarah's amount: 3/5 + 1/2.",
    "Then add Eunice's 3/5 m to Sarah's amount."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q31",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1 7/10 m. FIB answer stored as plain mixed fraction '1 7/10'."
  },
  {
   "n": 32,
   "type_id": 0,
   "question": "The figure is made up of 16 identical squares. Line AB is the line of symmetry. Shade three more squares to make the figure symmetrical.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "Reflect each already-shaded square across line AB and shade its mirror image so the pattern is symmetrical about AB.",
   "hints": [
    "Mirror every shaded square across AB.",
    "Each shaded square needs a matching square on the opposite side."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q32",
   "image_needed": true,
   "image_options": false,
   "image_file": "q32.png",
   "image_page": 15,
   "image_bbox": [
    0.3,
    0.13,
    0.58,
    0.28
   ],
   "image_loc": "4x4 grid with some squares shaded and horizontal symmetry line AB",
   "notes": "Interactive shade-the-grid task; no value answer. type_id 0 (skipped on insert). Key shows the three mirror squares shaded."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "$$\\frac{3}{4}$$ of a number is 21. What is the number?",
   "answer0": "28",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "$$\\frac{3}{4}$$ of the number = 21, so $$\\frac{1}{4}$$ = 21 ÷ 3 = 7. The whole number = 7 × 4 = 28. Answer: 28.",
   "hints": [
    "3/4 is 3 units = 21, so 1 unit = 7.",
    "The whole is 4 units."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q33",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 21 ÷ 3 = 7, 7 × 4 = 28."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "Henry paid $4 for 8 identical erasers. What was the cost of 1 such eraser?<br>$[?]",
   "answer0": "0.50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 1,
   "explanation": "Cost of 1 eraser = $4.00 ÷ 8 = $0.50. Answer: $0.50.",
   "hints": [
    "Divide the total cost by the number of erasers.",
    "$4.00 ÷ 8."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q34",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: $0.50. Answer stored as plain 0.50 (the $ is in the stem)."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "A big box contains twice as many tarts as a small box. There are a total of 136 tarts in 3 big boxes and 2 small boxes. How many tarts are there in a big box?",
   "answer0": "34",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let a small box = 1 unit, so a big box = 2 units. 3 big + 2 small = 3×2 + 2×1 = 8 units = 136, so 1 unit = 17. A big box = 2 units = 2 × 17 = 34 tarts. Answer: 34.",
   "hints": [
    "Small box = 1 unit, big box = 2 units.",
    "3 big + 2 small = 8 units = 136."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q35",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 136 ÷ 8 = 17, 17 × 2 = 34."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Rectangle ABCD is made up of a square and 3 smaller identical rectangles. The breadth of 1 smaller rectangle is 13 cm. Find the length of the square.<br>[?] $$cm$$",
   "answer0": "39",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "The 3 smaller rectangles are stacked so their breadths total the side of the square: 3 × 13 = 39 cm. So the length (side) of the square = 39 cm. Answer: 39 cm.",
   "hints": [
    "The 3 identical small rectangles stack along one side of the square.",
    "Square side = 3 × 13 cm."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q36",
   "image_needed": true,
   "image_options": false,
   "image_file": "q36.png",
   "image_page": 17,
   "image_bbox": [
    0.24,
    0.13,
    0.58,
    0.27
   ],
   "image_loc": "rectangle ABCD split into a square (left) and 3 stacked smaller rectangles (right), one breadth marked 13 cm",
   "notes": "Key: 39 ÷ 3 = 13, 13 × 3 = 39 cm."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "There are 135 pies at a party. $$\\frac{2}{9}$$ of the pies are chicken pies and the rest are mushroom pies. How many more mushroom pies than chicken pies are there at the party?",
   "answer0": "75",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "1 unit = 135 ÷ 9 = 15. Chicken pies = 2 units = 30. Mushroom pies = 7 units = 105. Difference = 105 − 30 = 75. Answer: 75.",
   "hints": [
    "Find 1/9 of 135 first.",
    "Chicken = 2 units, mushroom = 7 units; find the difference of 5 units."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q37",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 135 ÷ 9 = 15; 15×2 = 30, 15×7 = 105, 105 − 30 = 75."
  },
  {
   "n": 38,
   "type_id": 0,
   "question": "In the square grid, line AB and line BC form half a rectangle. Draw the missing lines to complete the rectangle.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Draw the two missing sides parallel and equal to AB and BC so that ABCD becomes a rectangle: from A draw a line parallel to BC, and from C draw a line parallel to AB; they meet at the fourth vertex D.",
   "hints": [
    "A rectangle has opposite sides equal and parallel.",
    "Complete the fourth corner so all angles are right angles."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q38",
   "image_needed": true,
   "image_options": false,
   "image_file": "q38.png",
   "image_page": 18,
   "image_bbox": [
    0.27,
    0.14,
    0.7,
    0.45
   ],
   "image_loc": "square grid with lines AB and BC drawn (half a rectangle)",
   "notes": "Interactive draw-on-grid task; no value answer. type_id 0 (skipped on insert)."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "Measure and write down the size of ∠x.<br>[?] $$degrees$$",
   "answer0": "69",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Using a protractor at the vertex of ∠x, the angle measures 69°. Answer: 69°.",
   "hints": [
    "Place the protractor centre on the angle's vertex.",
    "Read off where the second arm crosses the scale."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q39",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 18,
   "image_bbox": [
    0.3,
    0.53,
    0.52,
    0.7
   ],
   "image_loc": "single angle x to be measured",
   "notes": "Key: 69°. Answer stored plain as 69 (unit in stem)."
  },
  {
   "n": 40,
   "type_id": 1,
   "question": "Alice was at one of the points shown in the grid at first. She walked 2 steps to the east, 3 steps to the south and 2 steps to the West. She was at point B in the end. Which point was she at first?",
   "answer0": "A",
   "answer1": "C",
   "answer2": "D",
   "answer3": "E",
   "correct_answer": 1,
   "skill_id": 142,
   "difficulty_id": 3,
   "explanation": "Work backwards from B: reverse 2 steps West → 2 East; reverse 3 South → 3 North; reverse 2 East → 2 West. Net of the forward walk: east 2 then west 2 cancel, leaving 3 steps south. So the start is 3 steps north of B, which is point C. Answer: C.",
   "hints": [
    "East 2 then West 2 cancel out.",
    "Only the 3 steps south remain, so start is 3 steps north of B."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q40",
   "image_needed": true,
   "image_options": false,
   "image_file": "q40.png",
   "image_page": 19,
   "image_bbox": [
    0.27,
    0.12,
    0.65,
    0.36
   ],
   "image_loc": "square grid with points A, C, D, F, B, E and a North arrow",
   "notes": "Key: C. Section B Q40 is a 4-option MCQ (key gives 'C'); options reflect grid points; correct index 1 = C."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "Dora, Erica and Felicia had $4300 altogether. Dora had $980 more than Erica. Felicia had $340 less than Erica. How much money did Felicia have?<br>$[?]",
   "answer0": "880",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Take Erica as 1 unit. Dora = 1 unit + $980, Felicia = 1 unit − $340. Total: 3 units + $980 − $340 = $4300, so 3 units = $4300 − $980 + $340 = $3660, 1 unit = $1220 (Erica). Felicia = $1220 − $340 = $880. Answer: $880.",
   "hints": [
    "Let Erica be 1 unit; write Dora and Felicia in terms of Erica.",
    "3 units + extras = $4300; solve for 1 unit then find Felicia."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key working: 3u = 4300 − 980 − 340 − 340 = 2640; 1u = 880; Felicia = $880."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Julian read $$\\frac{2}{9}$$ of a book on Monday and $$\\frac{2}{3}$$ of the book on Tuesday. He read the remaining pages of the book on Wednesday. He read 76 more pages on Tuesday than on Monday. What fraction of the book did he read on Wednesday?",
   "answer0": "1/9",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Monday + Tuesday = $$\\frac{2}{9}+\\frac{2}{3}=\\frac{2}{9}+\\frac{6}{9}=\\frac{8}{9}$$. Wednesday = whole − $$\\frac{8}{9}$$ = $$\\frac{9}{9}-\\frac{8}{9}=\\frac{1}{9}$$. Answer: $$\\frac{1}{9}$$.",
   "hints": [
    "Add Monday and Tuesday fractions (common denominator 9).",
    "Wednesday = 1 whole minus that sum."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Part (a). Key: 1/9. Part (b) is Q42 second blank below."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Julian read $$\\frac{2}{9}$$ of a book on Monday and $$\\frac{2}{3}$$ of the book on Tuesday. He read the remaining pages of the book on Wednesday. He read 76 more pages on Tuesday than on Monday. How many pages did the book have?",
   "answer0": "171",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Tuesday $$\\frac{6}{9}$$ minus Monday $$\\frac{2}{9}$$ = $$\\frac{4}{9}$$ of the book = 76 pages. So 1 unit ($$\\frac{1}{9}$$) = 76 ÷ 4 = 19 pages. Whole book = 9 units = 19 × 9 = 171 pages. Answer: 171.",
   "hints": [
    "The 76-page difference equals 4 units (6/9 − 2/9).",
    "1 unit = 76 ÷ 4; the whole book is 9 units."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Q42 part (b). Key: 1u = 76 ÷ 4 = 19, 9u = 171 pages. Same source Q as previous (Q42); split into separate manifest rows for (a) and (b)."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "There were some pears and apples for sale at a fruit stall. Pears are sold only in packs of 3 while apples are sold only in packs of 5. 3 Pears for $4.75. 5 Apples for $6. Mandy bought 12 pears. How much did she pay for the pears?<br>$[?]",
   "answer0": "19",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "12 pears = 12 ÷ 3 = 4 packs. Each pack of 3 pears costs $4.75, so 4 × $4.75 = $19. Answer: $19.",
   "hints": [
    "12 pears is how many packs of 3?",
    "Multiply the number of packs by $4.75."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q43",
   "image_needed": true,
   "image_options": false,
   "image_file": "q43.png",
   "image_page": 22,
   "image_bbox": [
    0.18,
    0.11,
    0.74,
    0.3
   ],
   "image_loc": "fruit-stall figure: 3 pears labelled '3 Pears for $4.75' and 5 apples labelled '5 Apples for $6'",
   "notes": "Q43 part (a). Key: 12 ÷ 3 = 4 packs; 4 × $4.75 = $19. Figure shared with Q45 row below (Q43 part b)."
  },
  {
   "n": 45,
   "type_id": 2,
   "question": "Pears are sold only in packs of 3 while apples are sold only in packs of 5. 3 Pears for $4.75. 5 Apples for $6. Caleb had $50. What was the greatest number of apples he could buy?",
   "answer0": "40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Each pack of 5 apples costs $6. With $50: 50 ÷ 6 = 8 packs (cost 8 × $6 = $48, with $2 left over, not enough for another pack). 8 packs × 5 = 40 apples. Answer: 40.",
   "hints": [
    "How many $6 packs fit into $50?",
    "8 full packs of 5 apples each."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Q43 part (b). Key: 40 apples (8 packs of 5). Prices restated in stem; figure not strictly needed."
  },
  {
   "n": 46,
   "type_id": 2,
   "question": "Michael has a piece of rectangular paper measuring 24 cm by 8 cm. He cuts out a square of length 2 cm and a rectangle measuring 6 cm by 4 cm. What is the area of the remaining paper?<br>[?] $$cm^2$$",
   "answer0": "148",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Whole paper area = 24 × 8 = 192 cm². Cut-outs: rectangle 6 × 4 = 24 cm² and square 2 × 2 = 4 cm². (Per the key, an extra 4 × 4 = 16 cm² region is also removed.) Remaining = 192 − 24 − 16 − 4 = 148 cm². Answer: 148 cm².",
   "hints": [
    "Find the area of the whole sheet first.",
    "Subtract every cut-out region's area."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q44",
   "image_needed": true,
   "image_options": false,
   "image_file": "q44.png",
   "image_page": 23,
   "image_bbox": [
    0.17,
    0.13,
    0.74,
    0.32
   ],
   "image_loc": "24 cm by 8 cm rectangle with a 6 cm by 4 cm and 2 cm square notch cut out (shaded remaining region)",
   "notes": "Q44 part (a). Key: 24×8 = 192; 192 − (6×4) − (4×4) − (2×2) = 148 cm². Figure shared with next row (Q44 part b)."
  },
  {
   "n": 47,
   "type_id": 2,
   "question": "Michael has a piece of rectangular paper measuring 24 cm by 8 cm. He cuts out a square of length 2 cm and a rectangle measuring 6 cm by 4 cm. What is the perimeter of the remaining paper?<br>[?] $$cm$$",
   "answer0": "72",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Trace the outline of the remaining L/stepped shape and add all edge lengths. Per the key: 24 + 8 + 22 + 2 + 4 + 4 + 6 + 2 = 72 cm. Answer: 72 cm.",
   "hints": [
    "Walk around the whole boundary of the remaining shape.",
    "Add every straight edge, including the notch edges."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q44",
   "image_needed": true,
   "image_options": false,
   "image_file": "q47.png",
   "image_page": 23,
   "image_bbox": [
    0.17,
    0.13,
    0.74,
    0.32
   ],
   "image_loc": "same cut-paper figure as Q44 part (a)",
   "notes": "Q44 part (b). Key: 24 + 8 + 22 + 2 + 4 + 4 + 6 + 2 = 72 cm."
  },
  {
   "n": 48,
   "type_id": 2,
   "question": "Dots and triangles are used to form figures that follow a pattern. The table shows the number of dots and triangles for Figures 1 to 3 (Fig 1: 4 dots, 1 triangle; Fig 2: 9 dots, 4 triangles; Fig 3: 16 dots, 9 triangles). Fill in the table for Figure 4: number of dots = [?], number of triangles = [?].",
   "answer0": "25",
   "answer1": "16",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 2,
   "explanation": "Dots follow square numbers: Fig n has (n+1)² dots — 4, 9, 16, so Fig 4 = 25. Triangles follow n²: 1, 4, 9, so Fig 4 = 16. Answer: 25 dots, 16 triangles.",
   "hints": [
    "Dots: 4, 9, 16 are 2², 3², 4² — next is 5².",
    "Triangles: 1, 4, 9 are 1², 2², 3² — next is 4²."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q45",
   "image_needed": true,
   "image_options": false,
   "image_file": "q48.png",
   "image_page": 24,
   "image_bbox": [
    0.17,
    0.1,
    0.74,
    0.31
   ],
   "image_loc": "Figures 1-3 made of dots and triangles, above the data table",
   "notes": "Q45 part (a) converted to FIB (two blanks). Key: 25, 16."
  },
  {
   "n": 49,
   "type_id": 2,
   "question": "Dots and triangles are used to form figures that follow a pattern. Fig 1 has 4 dots, Fig 2 has 9 dots, Fig 3 has 16 dots (the number of dots is (figure number + 1) squared). Which Figure Number has a total of 100 dots?",
   "answer0": "9",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 3,
   "explanation": "Dots for Figure n = (n+1)². Set (n+1)² = 100, so n+1 = 10, n = 9. Figure 9 has 100 dots. Answer: Figure 9.",
   "hints": [
    "Dots = (figure number + 1) squared.",
    "Which number squared is 100? Then subtract 1."
   ],
   "source": "Catholic High 2023 P4 End of Year Exam Q45",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Q45 part (b). Key: Fig. 9. Answer stored as 9."
  }
 ]
}