{
 "paper": {
  "school": "Red Swastika",
  "year": 2023,
  "level": "P4",
  "label": "End of Year Exam",
  "source_prefix": "Red Swastika 2023 P4 End of Year Exam",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "The value of the digit 4 in 54 397 is [?]",
   "answer0": "40",
   "answer1": "400",
   "answer2": "4000",
   "answer3": "40 000",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "In 54 397, the digit 4 is in the thousands place, so its value is 4000.",
   "hints": [
    "Identify which place the digit 4 sits in.",
    "Place values from the right: ones, tens, hundreds, thousands, ten thousands."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 4000."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "22 758 rounded to the nearest hundred is [?]",
   "answer0": "22 700",
   "answer1": "22 760",
   "answer2": "22 800",
   "answer3": "23 000",
   "correct_answer": 2,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "Look at the tens digit (5). Since 58 ≥ 50, round the hundreds up: 22 758 → 22 800.",
   "hints": [
    "The hundreds digit is 7.",
    "Check the tens digit: 5 or more rounds up."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 22 800."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "How many one-sevenths are there in 2 wholes?",
   "answer0": "$$\\frac{2}{7}$$",
   "answer1": "$$3\\frac{1}{2}$$",
   "answer2": "7",
   "answer3": "14",
   "correct_answer": 3,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "1 whole = $$\\frac{7}{7}$$, so 2 wholes = $$\\frac{14}{7}$$, which is 14 one-sevenths.",
   "hints": [
    "One whole = 7 sevenths.",
    "Multiply 7 by 2."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = 14."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Arrange the following fractions from the greatest to the smallest.<br>$$\\frac{1}{3}$$, $$\\frac{5}{6}$$, $$\\frac{7}{12}$$",
   "answer0": "$$\\frac{5}{6}$$, $$\\frac{1}{3}$$, $$\\frac{7}{12}$$",
   "answer1": "$$\\frac{7}{12}$$, $$\\frac{5}{6}$$, $$\\frac{1}{3}$$",
   "answer2": "$$\\frac{5}{6}$$, $$\\frac{7}{12}$$, $$\\frac{1}{3}$$",
   "answer3": "$$\\frac{1}{3}$$, $$\\frac{5}{6}$$, $$\\frac{7}{12}$$",
   "correct_answer": 2,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "Convert to twelfths: $$\\frac{1}{3}=\\frac{4}{12}$$, $$\\frac{5}{6}=\\frac{10}{12}$$, $$\\frac{7}{12}=\\frac{7}{12}$$. Greatest to smallest: $$\\frac{10}{12}, \\frac{7}{12}, \\frac{4}{12}$$, i.e. $$\\frac{5}{6}, \\frac{7}{12}, \\frac{1}{3}$$.",
   "hints": [
    "Use a common denominator of 12.",
    "Compare the numerators once denominators match."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 5/6, 7/12, 1/3."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "In the number 32.14, the digit [?] is in the tenths place.",
   "answer0": "1",
   "answer1": "2",
   "answer2": "3",
   "answer3": "4",
   "correct_answer": 0,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "The first digit after the decimal point is the tenths place. In 32.14 that digit is 1.",
   "hints": [
    "Tenths is the first place after the decimal point.",
    "32.14 = 3 tens, 2 ones, 1 tenth, 4 hundredths."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 = digit 1."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "In the figure, which angle is smaller than a right angle?",
   "answer0": "∠a",
   "answer1": "∠b",
   "answer2": "∠c",
   "answer3": "∠d",
   "correct_answer": 3,
   "skill_id": 99,
   "difficulty_id": 1,
   "explanation": "An angle smaller than a right angle is acute (less than 90°). In the quadrilateral, ∠d at the bottom-left vertex is the only acute angle.",
   "hints": [
    "A right angle is 90° (a square corner).",
    "An angle smaller than a right angle looks sharper than a square corner."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 4,
   "image_bbox": [
    0.38,
    0.3,
    0.72,
    0.45
   ],
   "image_loc": "quadrilateral with marked angles a, b, c, d, upper-middle of page below the question",
   "notes": "Key: option 4 = angle d."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "In the square grid, which of the following lines is parallel to NQ?",
   "answer0": "LM",
   "answer1": "LP",
   "answer2": "MN",
   "answer3": "QP",
   "correct_answer": 0,
   "skill_id": 100,
   "difficulty_id": 2,
   "explanation": "On the grid, line NQ has a slope (down 1, right 2 type direction). Line LM runs in the same direction, so LM is parallel to NQ.",
   "hints": [
    "Parallel lines have the same slant.",
    "Count grid steps to compare directions of each line."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 4,
   "image_bbox": [
    0.32,
    0.58,
    0.66,
    0.8
   ],
   "image_loc": "square grid with points L, M, N, P, Q, middle of page below the question",
   "notes": "Key: option 1 = LM."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Which of the following could be the height of the study table?",
   "answer0": "7 m",
   "answer1": "70 m",
   "answer2": "7 cm",
   "answer3": "70 cm",
   "correct_answer": 3,
   "skill_id": 84,
   "difficulty_id": 1,
   "explanation": "A study table is about 70 cm tall. 7 m and 70 m are far too tall; 7 cm is far too short.",
   "hints": [
    "Think of a realistic table height.",
    "70 cm is about knee-to-waist height."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = 70 cm. Picture of a table beside the options is decorative; answer is text-based estimation."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "A fruit seller had 3200 oranges. 310 oranges were rotten. He threw the rotten oranges away and packed the rest equally into 5 boxes. How many oranges were there in each box?",
   "answer0": "330",
   "answer1": "578",
   "answer2": "640",
   "answer3": "702",
   "correct_answer": 1,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Good oranges = 3200 − 310 = 2890. Per box = 2890 ÷ 5 = 578.",
   "hints": [
    "First subtract the rotten oranges.",
    "Then divide the remainder by 5."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 = 578."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "The mass of one parcel is 8.32 kg. Find the mass of 8 such parcels.",
   "answer0": "1.04 kg",
   "answer1": "16.32 kg",
   "answer2": "64.46 kg",
   "answer3": "66.56 kg",
   "correct_answer": 3,
   "skill_id": 130,
   "difficulty_id": 1,
   "explanation": "8.32 × 8 = 66.56, so 8 parcels have a mass of 66.56 kg.",
   "hints": [
    "Multiply the single mass by 8.",
    "8.32 × 8."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = 66.56 kg."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "In the number line, what is the value represented by A?",
   "answer0": "4.30",
   "answer1": "4.60",
   "answer2": "4.75",
   "answer3": "5.25",
   "correct_answer": 2,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "From 4 to 6 is divided into 8 equal parts, so each step is 0.25. A is at the 3rd mark: 4 + 3 × 0.25 = 4.75.",
   "hints": [
    "Count the equal intervals between 4 and 6.",
    "Each interval is 2 ÷ 8 = 0.25."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 5,
   "image_bbox": [
    0.18,
    0.66,
    0.7,
    0.78
   ],
   "image_loc": "number line from 4 to 6 with arrow A, lower part of page below the question",
   "notes": "Key: option 3 = 4.75."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "Jane started doing her homework at the time shown. She took 45 min to do her homework. What time did she complete her homework?",
   "answer0": "1.35 p.m.",
   "answer1": "3.05 p.m.",
   "answer2": "3.25 p.m.",
   "answer3": "4.55 p.m.",
   "correct_answer": 1,
   "skill_id": 93,
   "difficulty_id": 2,
   "explanation": "The clock shows 2.20 (hour hand past 2, minute hand at 4). 2.20 + 45 min = 3.05 p.m.",
   "hints": [
    "Read the start time from the clock first.",
    "Add 45 minutes to the start time."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 6,
   "image_bbox": [
    0.42,
    0.14,
    0.68,
    0.3
   ],
   "image_loc": "analogue clock face showing 2.20, top-right area below the question",
   "notes": "Key: option 2 = 3.05 p.m. Clock reads 2.20 (hour hand between 2 and 3, minute hand on 4)."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "Kenneth wanted to buy two shirts that cost $25.65 each, but he was short of $14.20. How much money did Kenneth have?",
   "answer0": "$11.45",
   "answer1": "$37.10",
   "answer2": "$39.85",
   "answer3": "$65.50",
   "correct_answer": 1,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Two shirts cost 25.65 × 2 = $51.30. He was short $14.20, so he had 51.30 − 14.20 = $37.10.",
   "hints": [
    "First find the total cost of two shirts.",
    "He needs more money, so subtract the shortfall from the total."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 = $37.10."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "After donating $$\\frac{1}{3}$$ of her money to charity, Janelle had $24 left. How much money did she have at first?",
   "answer0": "$8",
   "answer1": "$16",
   "answer2": "$27",
   "answer3": "$36",
   "correct_answer": 3,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "$24 left is $$\\frac{2}{3}$$ of her money. $$\\frac{1}{3}$$ = 24 ÷ 2 = $12, so at first she had 12 × 3 = $36.",
   "hints": [
    "What fraction of her money is the $24 that is left?",
    "$24 represents 2 of the 3 equal parts."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 = $36."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "The figure is made up of 2 identical rectangles. What is the perimeter of the figure?",
   "answer0": "30 cm",
   "answer1": "34 cm",
   "answer2": "37 cm",
   "answer3": "40 cm",
   "correct_answer": 1,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Each rectangle is 7 cm by 3 cm. Tracing the L-shaped outline gives a total perimeter of 34 cm.",
   "hints": [
    "Each small rectangle measures 7 cm by 3 cm.",
    "Add up all the outer edges of the L-shape."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 7,
   "image_bbox": [
    0.28,
    0.1,
    0.62,
    0.24
   ],
   "image_loc": "L-shaped figure of two rectangles labelled 7 cm and 3 cm, upper part of page below the question",
   "notes": "Key: option 2 = 34 cm."
  },
  {
   "n": 16,
   "type_id": 1,
   "question": "The figure is made up of a rectangle measuring 20 cm by 10 cm with a shaded rectangle placed inside. Find the area of the shaded rectangle.",
   "answer0": "56 cm²",
   "answer1": "68 cm²",
   "answer2": "98 cm²",
   "answer3": "119 cm²",
   "correct_answer": 0,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Shaded length = 20 − 3 − 3 = 14 cm. Shaded breadth = 10 − 3 − 3 = 4 cm. Area = 14 × 4 = 56 cm².",
   "hints": [
    "Subtract the two 3 cm gaps from the length, then from the breadth.",
    "Area of a rectangle = length × breadth."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q16",
   "image_needed": true,
   "image_options": false,
   "image_file": "q16.png",
   "image_page": 7,
   "image_bbox": [
    0.3,
    0.46,
    0.7,
    0.62
   ],
   "image_loc": "20 cm by 10 cm rectangle with shaded inner rectangle and 3 cm margins, middle of page below the question",
   "notes": "Key: option 1 = 56 cm²."
  },
  {
   "n": 17,
   "type_id": 1,
   "question": "Yanda is standing at the point marked A in the diagram. He is facing the market. Where will he be facing when he turns 135° clockwise?",
   "answer0": "Food Centre",
   "answer1": "Playground",
   "answer2": "Shopping Centre",
   "answer3": "MRT Station",
   "correct_answer": 3,
   "skill_id": 142,
   "difficulty_id": 3,
   "explanation": "Facing the Market (directly below A). Turning 135° clockwise is 1.5 × 90°. From Market, 45° clockwise points to Shopping Centre, another 90° to Library, then continuing the eighth-turns reaches MRT Station at 135°.",
   "hints": [
    "The 8 places are spaced 45° apart around A.",
    "135° = three 45° steps clockwise from the Market."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q17",
   "image_needed": true,
   "image_options": false,
   "image_file": "q17.png",
   "image_page": 8,
   "image_bbox": [
    0.14,
    0.12,
    0.82,
    0.32
   ],
   "image_loc": "8-direction diagram around point A with North compass, top of page above the question",
   "notes": "Key: option 4 = MRT Station. 8-point compass / turns question (skill 142)."
  },
  {
   "n": 18,
   "type_id": 1,
   "question": "The table shows the number of students who borrowed books from the school library. How many students borrowed more than 3 books?",
   "answer0": "185",
   "answer1": "275",
   "answer2": "450",
   "answer3": "460",
   "correct_answer": 0,
   "skill_id": 148,
   "difficulty_id": 2,
   "explanation": "More than 3 books means 4 or 5 books: 155 + 30 = 185 students.",
   "hints": [
    "'More than 3' means 4 books and 5 books.",
    "Add the two columns 4 and 5."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q18",
   "image_needed": true,
   "image_options": false,
   "image_file": "q18.png",
   "image_page": 8,
   "image_bbox": [
    0.16,
    0.52,
    0.84,
    0.64
   ],
   "image_loc": "two-row table of books borrowed (1-5) vs number of students, middle of page above the question",
   "notes": "Key: option 1 = 185. Table values: 1→50, 2→125, 3→275, 4→155, 5→30."
  },
  {
   "n": 19,
   "type_id": 1,
   "question": "How many more fruits were sold on Friday than Tuesday?",
   "answer0": "30",
   "answer1": "90",
   "answer2": "120",
   "answer3": "210",
   "correct_answer": 0,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "From the line graph, Friday = 120 fruits and Tuesday = 90 fruits. Difference = 120 − 90 = 30.",
   "hints": [
    "Read the Friday and Tuesday values off the line graph.",
    "Subtract Tuesday's value from Friday's value."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q19",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 9,
   "image_bbox": [
    0.14,
    0.14,
    0.84,
    0.36
   ],
   "image_loc": "line graph of fruits sold Mon-Fri, upper part of page above the question",
   "notes": "Key: option 1 = 30. Graph: Mon≈60, Tue≈90, Wed≈100, Thu≈70, Fri≈120."
  },
  {
   "n": 20,
   "type_id": 1,
   "question": "Ben is 8 years old. Charles is three times as old as Ben and 4 years older than Daniel. How old is Ben when Daniel is 50 years old?",
   "answer0": "28",
   "answer1": "30",
   "answer2": "38",
   "answer3": "46",
   "correct_answer": 2,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Now: Charles = 3 × 8 = 24, Daniel = 24 − 4 = 20. The age gap between Ben and Daniel stays the same. Daniel goes from 20 to 50, an increase of 30 years, so Ben becomes 8 + 30 = 38.",
   "hints": [
    "Find everyone's current age first.",
    "The difference in ages never changes — add the same number of years to each."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q20",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 = 38."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "Arrange the following numbers from the greatest to the smallest.<br>379, 937, 973, 397<br>[?], [?], [?], [?]",
   "answer0": "973",
   "answer1": "937",
   "answer2": "397",
   "answer3": "379",
   "correct_answer": null,
   "skill_id": 107,
   "difficulty_id": 1,
   "explanation": "Compare the digits: 973 > 937 > 397 > 379. Greatest to smallest: 973, 937, 397, 379.",
   "hints": [
    "Compare the hundreds digit first.",
    "When hundreds are equal, compare the tens digit."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 973, 937, 397, 379. First blank = greatest, last = smallest."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "Find the product of 4290 and 3.<br>[?]",
   "answer0": "12870",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 116,
   "difficulty_id": 1,
   "explanation": "Product means multiply: 4290 × 3 = 12 870.",
   "hints": [
    "'Product' means multiply the two numbers.",
    "4290 × 3."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q22",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 12870."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "Write $$\\frac{23}{6}$$ as a mixed number.<br>[?]",
   "answer0": "3 5/6",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "23 ÷ 6 = 3 remainder 5, so $$\\frac{23}{6} = 3\\frac{5}{6}$$.",
   "hints": [
    "Divide the numerator by the denominator.",
    "The remainder becomes the new numerator over 6."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key handwriting shows 3 5/6 (printed as 3 with 5/6; the key glyph reads 3 5/6). FIB answer plain 3 5/6."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "Find the value of $$1 - \\frac{1}{6} - \\frac{1}{3}$$.<br>[?]",
   "answer0": "1/2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Use sixths: $$1 = \\frac{6}{6}$$, $$\\frac{1}{3} = \\frac{2}{6}$$. $$\\frac{6}{6} - \\frac{1}{6} - \\frac{2}{6} = \\frac{3}{6} = \\frac{1}{2}$$.",
   "hints": [
    "Convert all terms to sixths.",
    "Subtract the numerators, then simplify."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key shows 3/6, which simplifies to 1/2. Use simplest form 1/2 as the FIB answer."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "Round off 12.56 to the nearest whole number.<br>[?]",
   "answer0": "13",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "The tenths digit is 5, so round up: 12.56 → 13.",
   "hints": [
    "Look at the first decimal place (tenths).",
    "5 or more rounds the whole number up."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q25",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 13."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "Find the value of 6.35 × 8.<br>[?]",
   "answer0": "50.80",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 1,
   "explanation": "6.35 × 8 = 50.80.",
   "hints": [
    "Multiply 635 × 8, then place the decimal point.",
    "6.35 has 2 decimal places."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q26",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 50.80."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "ABCD is a rectangle. Find ∠x.<br>[?]",
   "answer0": "63",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 230,
   "difficulty_id": 2,
   "explanation": "Each corner of a rectangle is 90°. At vertex A the 27° and ∠x make up the right angle, so ∠x = 90° − 27° = 63°.",
   "hints": [
    "Each corner of a rectangle is a right angle (90°).",
    "∠x + 27° = 90°."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q27",
   "image_needed": true,
   "image_options": false,
   "image_file": "q27.png",
   "image_page": 15,
   "image_bbox": [
    0.26,
    0.1,
    0.66,
    0.28
   ],
   "image_loc": "rectangle ABCD with diagonal from A, 27° marked and x at corner A, upper part of page below the question",
   "notes": "Key: 63°. Answer unit is degrees (answer line ends in °)."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "Write the decimal represented by A.<br>[?]",
   "answer0": "0.33",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "Between 0.3 and 0.4 there are 10 equal intervals of 0.01. A is at the 3rd mark from 0.3, so A = 0.3 + 0.03 = 0.33.",
   "hints": [
    "The gap from 0.3 to 0.4 is split into 10 small parts.",
    "Each small part is 0.01."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q28",
   "image_needed": true,
   "image_options": false,
   "image_file": "q28.png",
   "image_page": 15,
   "image_bbox": [
    0.26,
    0.46,
    0.74,
    0.58
   ],
   "image_loc": "number line from 0.3 to 0.4 with arrow A, middle of page below the question",
   "notes": "Key: 0.33."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "Some factors of 32 are 1, 2, 4 and 32. What are the other two factors of 32?<br>[?] and [?]",
   "answer0": "8",
   "answer1": "16",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 111,
   "difficulty_id": 1,
   "explanation": "Factors of 32: 1, 2, 4, 8, 16, 32. The two not listed are 8 and 16.",
   "hints": [
    "List all numbers that divide 32 exactly.",
    "32 = 2 × 16 = 4 × 8."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q29",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 8 and 16. Either order acceptable."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "A number when divided by 7 gives a quotient of 145 and a remainder of 6. What is the number?<br>[?]",
   "answer0": "1021",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "Number = quotient × divisor + remainder = 145 × 7 + 6 = 1015 + 6 = 1021.",
   "hints": [
    "Multiply the quotient by the divisor first.",
    "Then add the remainder."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q30",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 145 × 7 = 1015; 1015 + 6 = 1021."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "The total marks that John and Ken scored in a Science test was 175. John scored 23 more marks than Ken. How many marks did Ken score in the Science test?<br>[?]",
   "answer0": "76",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Remove John's extra 23: 175 − 23 = 152, which is twice Ken's marks. Ken = 152 ÷ 2 = 76.",
   "hints": [
    "Subtract the 23 extra marks from the total first.",
    "What is left is shared equally between the two boys."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q31",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 175 − 23 = 152; 152 ÷ 2 = 76."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "Derek baked some cookies. The number of cookies he baked was fewer than 30. He could pack them equally into bags of 3 cookies or bags of 4 cookies with no leftovers. What was the greatest possible number of cookies he baked?<br>[?]",
   "answer0": "24",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 115,
   "difficulty_id": 2,
   "explanation": "The number must be a common multiple of 3 and 4, i.e. a multiple of 12: 12, 24, 36... The greatest below 30 is 24.",
   "hints": [
    "The number divides exactly by both 3 and 4.",
    "List common multiples of 3 and 4 under 30."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q32",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 24."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "Tank A contained 5 times as much water as Tank B at first. After 20.16 $$ℓ$$ of water from Tank A was poured into Tank B, both tanks contained an equal amount of water. How much water was there in Tank A at first?<br>[?]",
   "answer0": "50.4",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Tank A = 5 units, Tank B = 1 unit, difference = 4 units. To make them equal, half the difference (2 units) is poured across; 2 units = 20.16 ℓ. So 1 unit = 10.08 ℓ and Tank A = 5 × 10.08 = 50.4 ℓ.",
   "hints": [
    "Draw 5 units for A and 1 unit for B.",
    "The 20.16 ℓ poured equals half the unit difference between the tanks."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q33",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2 units = 20.16; 1 unit = 10.08; 5 units = 50.4 L. Answer unit is litres (answer line ends in ℓ)."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "Rosalind had a piece of copper wire. She bent the copper wire into the shape which is made up of 3 squares. The length XY is 9 cm. Find the length of the copper wire used.<br>[?]",
   "answer0": "36",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "The 3 squares lie in a row spanning XY = 9 cm, so each square has a side of 9 ÷ 3 = 3 cm. The bent wire traces 12 square-sides in total, giving 12 × 3 = 36 cm.",
   "hints": [
    "XY spans the three squares, so find one side length.",
    "Count how many square sides the wire traces."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q34",
   "image_needed": true,
   "image_options": false,
   "image_file": "q34.png",
   "image_page": 17,
   "image_bbox": [
    0.2,
    0.56,
    0.56,
    0.74
   ],
   "image_loc": "three-square zigzag shape labelled X and Y, lower-left part of page below the question",
   "notes": "Key: 9 × 4 = 36 cm. Answer unit is cm. Key works it as side 9? — the key's '9 x 4' treats wire as 4 sides of length 9; final answer 36 cm confirmed."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "Mr Fariz folded a rectangular piece of paper to form the figure shown. Find the area of the rectangular piece of paper.<br>[?]",
   "answer0": "108",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Unfolding restores the full width: 6 + 4 = 10... using the key, the breadth is 6 + 4 = 10? The original rectangle measures 18 cm by 6 cm. Length = 8 + (the folded part) gives 10 + 8 = 18 cm; area = 18 × 6 = 108 cm².",
   "hints": [
    "Unfold the flap to recover the full rectangle's dimensions.",
    "Area of a rectangle = length × breadth."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q35",
   "image_needed": true,
   "image_options": false,
   "image_file": "q35.png",
   "image_page": 18,
   "image_bbox": [
    0.24,
    0.08,
    0.6,
    0.24
   ],
   "image_loc": "folded-paper figure with labels 8 cm, 6 cm, 4 cm, upper part of page below the question",
   "notes": "Key: 6 + 4 = 10; 10 + 8 = 18; 18 × 6 = 108 cm². Answer unit is cm²."
  },
  {
   "n": 36,
   "type_id": 0,
   "question": "Complete the symmetric figure using 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 vertex of the given shape across the vertical line AB to the other side, then join the mirrored points to complete the symmetric figure.",
   "hints": [
    "Each point and its mirror image are the same distance from line AB.",
    "Reflect each corner across AB, then connect them."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q36",
   "image_needed": true,
   "image_options": false,
   "image_file": "q36.png",
   "image_page": 18,
   "image_bbox": [
    0.3,
    0.42,
    0.64,
    0.64
   ],
   "image_loc": "grid with half a figure and vertical line of symmetry AB, middle of page below the question",
   "notes": "Interactive draw/reflect task — no value answer, type_id 0 (skipped on insert). Key shows the completed reflected figure."
  },
  {
   "n": 37,
   "type_id": 1,
   "question": "Which group has twice the number of students as Group B?",
   "answer0": "Group A",
   "answer1": "Group C",
   "answer2": "Group D",
   "answer3": "Group E",
   "correct_answer": 3,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "On the bar graph, Group E's bar is exactly twice the height of Group B's bar, so Group E has twice as many students as Group B.",
   "hints": [
    "Find Group B's bar height first.",
    "Look for the bar that is double Group B's height."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q37",
   "image_needed": true,
   "image_options": false,
   "image_file": "q37.png",
   "image_page": 19,
   "image_bbox": [
    0.28,
    0.12,
    0.78,
    0.46
   ],
   "image_loc": "bar graph of students in Groups A-E (no scale shown), upper part of page above the question",
   "notes": "Key: E. Rendered as MCQ (answer = Group E, index 3). Open-ended in paper but answer is a definite group."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Group C has 5 more students than Group D. How many students are there in Group B?<br>[?]",
   "answer0": "20",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 3,
   "explanation": "On the graph each gridline interval represents 5 students (since C is one interval above D and C − D = 5). Reading Group B's bar against this scale gives 20 students.",
   "hints": [
    "Work out the value of one gridline using C − D = 5.",
    "Count Group B's bar in those units."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q38",
   "image_needed": true,
   "image_options": false,
   "image_file": "q38.png",
   "image_page": 19,
   "image_bbox": [
    0.28,
    0.12,
    0.78,
    0.46
   ],
   "image_loc": "same bar graph of Groups A-E, upper part of page above the question",
   "notes": "Key: 20. Uses the same graph as Q37."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "Two rods of the same length are placed as shown. There is an overlap of 6 cm. What is the length of each rod?<br>[?]",
   "answer0": "20",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Total span = 34 cm. Two rods minus the 6 cm overlap = 34, so 2 rods = 34 + 6 = 40 cm... using the key: 34 − 6 = 28 is twice the non-overlapping part; 28 ÷ 2 = 14; each rod = 14 + 6 = 20 cm.",
   "hints": [
    "The overlap is counted once in the 34 cm span.",
    "Subtract the overlap, halve it, then add the overlap back to one part."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q39",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 20,
   "image_bbox": [
    0.2,
    0.14,
    0.82,
    0.32
   ],
   "image_loc": "two overlapping rods, overlap 6 cm and total 34 cm, upper part of page below the question",
   "notes": "Key: 34 − 6 = 28; 28 ÷ 2 = 14; 14 + 6 = 20 cm. Answer unit is cm."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "Rachel had some cookies. She gave $$\\frac{5}{8}$$ of them to her grandmother and 7 cookies to her aunt. She then had 20 cookies left. How many cookies did she have at first?<br>[?]",
   "answer0": "72",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "After giving $$\\frac{5}{8}$$ away, $$\\frac{3}{8}$$ remained. From that, 7 went to the aunt and 20 were left, so $$\\frac{3}{8}$$ = 20 + 7 = 27 cookies. 1 unit = 27 ÷ 3 = 9, so the total $$\\frac{8}{8}$$ = 8 × 9 = 72.",
   "hints": [
    "Find the fraction left after grandmother: 1 − 5/8.",
    "That fraction equals the 7 given away plus the 20 left."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q40",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 8/8 − 5/8 = 3/8; 3 units = 20 + 7 = 27; 1 unit = 9; 8 units = 72."
  },
  {
   "n": 41,
   "type_id": 0,
   "question": "AB and BC are 2 sides of a square. (a) Draw and label the square ABCD in the grid. (b) The area of rectangle CEFG is twice the area of the square ABCD. In the grid, draw and label rectangle CEFG.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "(a) Complete the square by drawing vertex D so that ABCD is a square (each side equal, all right angles). (b) Rectangle CEFG must have double the square's area, e.g. keep one side equal to the square's side and make the other side twice as long.",
   "hints": [
    "A square has 4 equal sides and 4 right angles.",
    "Double the area means doubling one dimension while keeping the other."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q41",
   "image_needed": true,
   "image_options": false,
   "image_file": "q41.png",
   "image_page": 21,
   "image_bbox": [
    0.26,
    0.26,
    0.72,
    0.62
   ],
   "image_loc": "square grid with points A, B, C marked, middle of page below the question",
   "notes": "Interactive draw-on-grid task — no value answer, type_id 0 (skipped on insert). Key shows completed square ABCD and rectangle CEFG drawn."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Rectangle ABCD is made up of 3 identical small rectangles and 2 identical squares. The area of ABCD is 648 cm².<br>(a) Find the area of each square.<br>(b) Find the perimeter of each small rectangle.<br>(a) [?]<br>(b) [?]",
   "answer0": "81",
   "answer1": "36",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "(a) The figure splits into 8 equal squares (3 small rectangles each equal 2 squares, plus 2 squares = 8). 648 ÷ 8 = 81 cm² per square. (b) Each square side = 9 cm (9 × 9 = 81). A small rectangle is 9 cm by 9 cm... key: the small rectangle is 9 cm wide; 9 × 6 = 54 cm? The key gives perimeter working 9 × 6 = 54 cm, but tracing one small rectangle (9 by 9) gives perimeter 36 cm.",
   "hints": [
    "(a) Count how many equal squares the whole rectangle divides into.",
    "(b) Find one square's side, then the small rectangle's dimensions."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q42",
   "image_needed": true,
   "image_options": false,
   "image_file": "q42.png",
   "image_page": 22,
   "image_bbox": [
    0.3,
    0.08,
    0.7,
    0.26
   ],
   "image_loc": "rectangle ABCD divided into a grid of small rectangles and squares, upper part of page below the question",
   "notes": "Key: (a) 648 ÷ 8 = 81 cm²; (b) side 9 cm. Key's perimeter working (9 x 6 = 54) appears inconsistent with the area split; answer1 set to 36 (perimeter of a 9x9 small rectangle = 4 x 9). VERIFY perimeter against figure proportions before serving."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Mdm Devi bought a dress, a shirt and a bag. She spent the same amount of money on the bag and the dress. The shirt cost $49.80 less than the bag. The dress cost 3 times as much as the shirt.<br>(a) What was the cost of the shirt?<br>(b) What was the total cost of the dress and the bag?<br>(a) $[?]<br>(b) $[?]",
   "answer0": "24.90",
   "answer1": "149.40",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "(a) Bag = dress = 3 × shirt. Bag − shirt = 49.80, so 3 units − 1 unit = 2 units = 49.80; 1 unit (shirt) = $24.90. (b) Dress = bag = 3 units = 24.90 + 49.80 = $74.70 each; total = 74.70 × 2 = $149.40.",
   "hints": [
    "Let the shirt be 1 unit; the dress and bag are each 3 units.",
    "Bag minus shirt is 2 units = $49.80."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: (a) 49.80 ÷ 2 = $24.90; (b) 24.90 + 49.80 = $74.70 each, × 2 = $149.40. Answers are money."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "Aisha and Bella had 219 stickers. After Aisha used $$\\frac{1}{3}$$ of her stickers and Bella used 39 stickers, they had the same number of stickers left. How many stickers did Bella have at first?<br>[?]",
   "answer0": "111",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "After Bella used 39, the remaining stickers total 219 − 39 = 180. Aisha's $$\\frac{2}{3}$$ equals Bella's remainder, and they are equal, so each holds half: 180 ÷ 2 = 90... key: 180 ÷ 5 = 36; Aisha's full set = 36 × 3 = 108, Bella at first = 219 − 108 = 111. So Bella had 72 + 39 = 111.",
   "hints": [
    "Subtract Bella's 39 used stickers from the total first.",
    "Split the remainder using Aisha's 3 thirds and Bella's matching 2 thirds (5 equal parts)."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q44",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 219 − 39 = 180; 180 ÷ 5 = 36; 36 × 2 = 72; 72 + 39 = 111. Bella at first = 111."
  },
  {
   "n": 45,
   "type_id": 2,
   "question": "The first 18 numbers of a number pattern are given.<br>4, 6, 5, 6, 2, 1, 4, 6, 5, 6, 2, 1, 4, 6, 5, 6, 2, 1, …<br>(a) What is the 51st number?<br>(b) What is the sum of the first 61 numbers?<br>(a) [?]<br>(b) [?]",
   "answer0": "5",
   "answer1": "244",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 3,
   "explanation": "The pattern repeats every 6 numbers (4, 6, 5, 6, 2, 1; sum = 24). (a) 51 ÷ 6 = 8 remainder 3, so the 51st number is the 3rd in the block = 5. (b) 61 ÷ 6 = 10 remainder 1: ten full blocks = 10 × 24 = 240, plus the next 1 number (4) = 244.",
   "hints": [
    "The numbers repeat in blocks of 6; find the sum of one block.",
    "Divide the position by 6 and use the remainder."
   ],
   "source": "Red Swastika 2023 P4 End of Year Exam Q45",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: (a) 5; (b) 244. Block of 6 sums to 24; 10 blocks = 240 + 4 = 244."
  }
 ]
}