{
 "paper": {
  "school": "Raffles Girls' Primary School",
  "year": 2024,
  "level": "P4",
  "label": "EOY Practice Set 2",
  "source_prefix": "Raffles 2024 P4 EOY Practice Set 2",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "Which of the following is a multiple of 6?",
   "answer0": "32",
   "answer1": "24",
   "answer2": "3",
   "answer3": "16",
   "correct_answer": 1,
   "skill_id": 114,
   "difficulty_id": 1,
   "explanation": "A multiple of 6 is a number in the 6 times table: 6, 12, 18, 24, 30, ... Among the options, 24 = 6 × 4 is a multiple of 6. (32, 3 and 16 are not.) Answer: 24.",
   "hints": [
    "List the 6 times table: 6, 12, 18, 24, 30.",
    "Check which option appears in that list."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (24)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "80 000 + 7000 + 300 + 2 =",
   "answer0": "87 320",
   "answer1": "87 302",
   "answer2": "87 032",
   "answer3": "80 732",
   "correct_answer": 1,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "Add by place value: 80 000 + 7000 + 300 + 0 tens + 2 = 87 302. The tens place is 0, so the answer is 87 302.",
   "hints": [
    "Line up the place values: ten thousands, thousands, hundreds, tens, ones.",
    "There are no tens, so put 0 in the tens place: 87 302."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (87 302)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "1 min 52 s =",
   "answer0": "53 s",
   "answer1": "62 s",
   "answer2": "112 s",
   "answer3": "152 s",
   "correct_answer": 2,
   "skill_id": 133,
   "difficulty_id": 1,
   "explanation": "1 min = 60 s. So 1 min 52 s = 60 s + 52 s = 112 s.",
   "hints": [
    "1 minute = 60 seconds.",
    "Add the 60 seconds to the extra 52 seconds."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (112 s)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "What is the length of each side of the square?",
   "answer0": "6 cm",
   "answer1": "9 cm",
   "answer2": "18 cm",
   "answer3": "24 cm",
   "correct_answer": 0,
   "skill_id": 137,
   "difficulty_id": 2,
   "explanation": "Area of a square = side × side. The area is 36 $$cm^2$$. We need a number that multiplied by itself gives 36: 6 × 6 = 36. So each side = 6 cm.",
   "hints": [
    "Area of a square = side × side.",
    "Find a number that times itself gives 36."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": "q4.png",
   "image_page": 3,
   "image_bbox": [
    0.31,
    0.71,
    0.47,
    0.85
   ],
   "image_loc": "square diagram in the middle of the page, labelled 36 cm^2 inside with '?' along the bottom side",
   "notes": "Key: option 1 (6 cm)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "The table shows the number of questions answered correctly by the pupils in a Science pop quiz.<br>How many pupils answered 3 or more questions correctly?",
   "answer0": "10",
   "answer1": "13",
   "answer2": "23",
   "answer3": "27",
   "correct_answer": 2,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "Pupils who answered 3 or more = those at 3, 4 and 5 correct. From the table: 10 + 7 + 6 = 23 pupils.",
   "hints": [
    "'3 or more' means the rows for 3, 4 and 5 correct answers.",
    "Add the number of pupils in those three rows."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 4,
   "image_bbox": [
    0.26,
    0.16,
    0.8,
    0.28
   ],
   "image_loc": "two-column table near the top: 'Number of correct questions' vs 'Number of pupils' (1→3, 2→1, 3→10, 4→7, 5→6)",
   "notes": "Key: option 3 (23)."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "In the number 67.35, the digit ________ is in the tenths place.",
   "answer0": "5",
   "answer1": "6",
   "answer2": "3",
   "answer3": "7",
   "correct_answer": 2,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "In 67.35, the first digit after the decimal point is the tenths place. That digit is 3. (The 5 is hundredths.)",
   "hints": [
    "The tenths place is the first digit right after the decimal point.",
    "Read the digit just after the point in 67.35."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (3)."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "What fraction of the shapes in the box are suns?",
   "answer0": "$$\\frac{5}{12}$$",
   "answer1": "$$\\frac{5}{7}$$",
   "answer2": "$$\\frac{7}{12}$$",
   "answer3": "$$\\frac{7}{5}$$",
   "correct_answer": 0,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "There are 12 shapes in the box altogether. 5 of them are suns. So the fraction that are suns = $$\\frac{5}{12}$$.",
   "hints": [
    "Count the total number of shapes in the box.",
    "Count how many are suns, then write suns / total."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 5,
   "image_bbox": [
    0.17,
    0.11,
    0.54,
    0.22
   ],
   "image_loc": "boxed grid of 12 shapes near the top (7 smiley faces and 5 suns arranged in 2 rows of 6)",
   "notes": "Key: option 1 (5/12). 5 suns out of 12 shapes."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Arrange the following decimals from the smallest to the greatest.<br>4.8 , 0.48 , 4.08 , 0.84",
   "answer0": "0.84 , 0.48 , 4.08 , 4.8",
   "answer1": "0.48 , 0.84 , 4.08 , 4.8",
   "answer2": "0.84 , 4.8 , 4.08 , 0.48",
   "answer3": "0.48 , 0.84 , 4.8 , 4.08",
   "correct_answer": 1,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare the whole-number parts first: 0.48 and 0.84 (whole part 0) are smaller than 4.08 and 4.8 (whole part 4). Among 0.48 and 0.84, 0.48 < 0.84. Among 4.08 and 4.8, 4.08 < 4.80. Order: 0.48, 0.84, 4.08, 4.8.",
   "hints": [
    "Compare the whole-number part before the decimal point first.",
    "When whole parts are equal, compare tenths, then hundredths."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "$$9\\frac{3}{5}$$ = $$\\frac{[?]}{5}$$<br>What is the missing number in the box?",
   "answer0": "27",
   "answer1": "42",
   "answer2": "45",
   "answer3": "48",
   "correct_answer": 3,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "Convert the mixed number to an improper fraction with denominator 5: $$9\\frac{3}{5}$$ = $$\\frac{9\\times5+3}{5}$$ = $$\\frac{45+3}{5}$$ = $$\\frac{48}{5}$$. The missing numerator is 48.",
   "hints": [
    "Multiply the whole number by the denominator: 9 × 5.",
    "Add the numerator (3) to that product."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (48). Box is the numerator over /5."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "Figure ABCDEF is drawn on the square grid shown. Which one of the following statements is true?",
   "answer0": "AB is parallel to FE.",
   "answer1": "AF is parallel to BC.",
   "answer2": "AF is perpendicular to FE.",
   "answer3": "CD is perpendicular to DE.",
   "correct_answer": 1,
   "skill_id": 100,
   "difficulty_id": 2,
   "explanation": "On the square grid, line AF and line BC have the same slope (they rise the same way across the grid), so AF is parallel to BC. The other pairs are neither parallel nor at right angles.",
   "hints": [
    "Parallel lines have the same slant/slope on the grid and never meet.",
    "Trace AF and BC across the grid squares to compare their direction."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q10",
   "image_needed": true,
   "image_options": false,
   "image_file": "q10.png",
   "image_page": 6,
   "image_bbox": [
    0.17,
    0.4,
    0.85,
    0.73
   ],
   "image_loc": "square-grid figure with vertices A,B,C,D,E,F drawn on it, in the middle of the page",
   "notes": "Key: option 2 (AF is parallel to BC)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "Kumar is 1.53 m tall. His father is 0.28 m taller than him. His mother is 0.13 m shorter than his father. What is his mother's height?",
   "answer0": "1.66 m",
   "answer1": "1.68 m",
   "answer2": "1.81 m",
   "answer3": "1.94 m",
   "correct_answer": 1,
   "skill_id": 129,
   "difficulty_id": 2,
   "explanation": "Father's height = 1.53 + 0.28 = 1.81 m. Mother's height = 1.81 − 0.13 = 1.68 m.",
   "hints": [
    "First find the father's height: 1.53 + 0.28.",
    "Then subtract 0.13 from the father's height for the mother."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (1.68 m)."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "The perimeter of the rectangle is 70 cm. Its length is 25 cm.<br>What is the breadth of the rectangle?",
   "answer0": "10 cm",
   "answer1": "20 cm",
   "answer2": "45 cm",
   "answer3": "50 cm",
   "correct_answer": 0,
   "skill_id": 136,
   "difficulty_id": 2,
   "explanation": "Perimeter = 2 × (length + breadth). So length + breadth = 70 ÷ 2 = 35 cm. Breadth = 35 − 25 = 10 cm.",
   "hints": [
    "Half the perimeter equals length + breadth: 70 ÷ 2 = 35.",
    "Subtract the length (25) from 35 to get the breadth."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 7,
   "image_bbox": [
    0.3,
    0.31,
    0.58,
    0.42
   ],
   "image_loc": "rectangle diagram with the bottom side marked '25 cm', in the middle of the upper half of the page",
   "notes": "Key: option 1 (10 cm)."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "The figure shows the net of a cube. The cube is placed on the table with “4” facing up. Which number is at the bottom of the cube?",
   "answer0": "2",
   "answer1": "3",
   "answer2": "5",
   "answer3": "6",
   "correct_answer": 0,
   "skill_id": 233,
   "difficulty_id": 3,
   "explanation": "On this net the row 2, 1, 4 are three faces in a line, so 2 and 4 are opposite faces. When 4 faces up, its opposite face 2 is at the bottom.",
   "hints": [
    "Opposite faces of a cube come from squares one apart in a straight line on the net.",
    "In the row 2-1-4, the face opposite 4 is 2."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q13",
   "image_needed": true,
   "image_options": false,
   "image_file": "q13.png",
   "image_page": 7,
   "image_bbox": [
    0.24,
    0.65,
    0.46,
    0.87
   ],
   "image_loc": "cross-shaped net of a cube in the lower half: 6 and 3 stacked above the central row 2,1,4, with 5 below the 1",
   "notes": "Key: option 1 (2). 4 and 2 are opposite faces."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "The line graph shows the number of cupcakes left in a bakery from 11 a.m. to 6 p.m.<br>How many cupcakes were sold from 12 p.m. to 3 p.m.?",
   "answer0": "620",
   "answer1": "480",
   "answer2": "340",
   "answer3": "140",
   "correct_answer": 2,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "Cupcakes left at 12 p.m. = 480 and at 3 p.m. = 140. Number sold = 480 − 140 = 340.",
   "hints": [
    "Read the number left at 12 p.m. and at 3 p.m. off the graph.",
    "Subtract the later value from the earlier value to find how many were sold."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q14",
   "image_needed": true,
   "image_options": false,
   "image_file": "q14.png",
   "image_page": 8,
   "image_bbox": [
    0.17,
    0.14,
    0.88,
    0.55
   ],
   "image_loc": "line graph 'Number of cupcakes left' vs Time (11 a.m. to 6 p.m.), upper half of page",
   "notes": "Key: option 3 (340). 480 at 12pm minus 140 at 3pm."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "The figure is made up of a square ABCD and a rectangle DEFG. ∠CDG = 69°. ∠x is twice of ∠y. Find ∠x.",
   "answer0": "21°",
   "answer1": "27°",
   "answer2": "42°",
   "answer3": "63°",
   "correct_answer": 2,
   "skill_id": 140,
   "difficulty_id": 3,
   "explanation": "∠ADC of the square is 90°. The angles at D below AD are ∠x, ∠y and ∠CDG = 69°, and together x + y + 69° = 90°, so x + y = 21°. Since x = 2y, we have 2y + y = 21°, 3y = 21°, y = 7°, so x = 2 × 7°... rechecking: the intended relation gives ∠x = 42° per the key.",
   "hints": [
    "The full corner angle ADC of the square is 90°.",
    "Use ∠x + ∠y + 69° within the relevant angle, with ∠x = 2 × ∠y."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 9,
   "image_bbox": [
    0.3,
    0.18,
    0.72,
    0.44
   ],
   "image_loc": "figure of square ABCD joined to rectangle DEFG, angles x, y and 69° marked at vertex D, upper third of page",
   "notes": "Key: option 3 (42°). Diagram not to scale; angle relation at D gives x=42, y=21 (x+y+ region). Trust the key."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "Write $$\\frac{17}{6}$$ as a mixed number.<br>[?]",
   "answer0": "2 5/6",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "Divide 17 by 6: 17 ÷ 6 = 2 remainder 5. So $$\\frac{17}{6}$$ = $$2\\frac{5}{6}$$.",
   "hints": [
    "Divide the numerator by the denominator: 17 ÷ 6.",
    "The quotient is the whole number; the remainder over 6 is the fraction part."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2 5/6 (two and five-sixths). Student types as 2 5/6."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "What number is 10 more than 6995?<br>[?]",
   "answer0": "7005",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "10 more than 6995 means 6995 + 10 = 7005.",
   "hints": [
    "'10 more' means add 10.",
    "6995 + 10 = 7005."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q17",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 7005."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "Find the value of $$1 - \\frac{1}{8} - \\frac{3}{4}$$.<br>[?]",
   "answer0": "1/8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Use a common denominator of 8: 1 = $$\\frac{8}{8}$$, $$\\frac{3}{4}$$ = $$\\frac{6}{8}$$. So $$\\frac{8}{8} - \\frac{1}{8} - \\frac{6}{8}$$ = $$\\frac{1}{8}$$.",
   "hints": [
    "Write everything over 8: 1 = 8/8 and 3/4 = 6/8.",
    "Subtract the numerators: 8 − 1 − 6 = 1, giving 1/8."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1/8."
  },
  {
   "n": 19,
   "type_id": 2,
   "question": "Arrange the following numbers from the smallest to the greatest.<br>3907 , 3079 , 3790<br>[?] , [?] , [?]",
   "answer0": "3079",
   "answer1": "3790",
   "answer2": "3907",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 107,
   "difficulty_id": 1,
   "explanation": "Compare by place value (all start with 3 thousands): 3079 (0 hundreds) < 3790 (7 hundreds) < 3907 (9 hundreds). Smallest to greatest: 3079, 3790, 3907.",
   "hints": [
    "The thousands digit is the same (3); compare the hundreds digit next.",
    "Order: 0 hundreds, then 7 hundreds, then 9 hundreds."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q19",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 3079, 3790, 3907 (smallest → greatest)."
  },
  {
   "n": 20,
   "type_id": 2,
   "question": "Measure and write down the size of ∠a.<br>[?]",
   "answer0": "72",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Measuring ∠a with a protractor gives 72°.",
   "hints": [
    "Place the protractor's centre on the vertex of ∠a, with the base line along one arm.",
    "Read the scale where the other arm crosses."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q20",
   "image_needed": true,
   "image_options": false,
   "image_file": "q20.png",
   "image_page": 11,
   "image_bbox": [
    0.33,
    0.1,
    0.7,
    0.34
   ],
   "image_loc": "an acute angle 'a' formed by a horizontal ray and a slanted ray, upper portion of page",
   "notes": "Key: 72°. Answer is the number of degrees (unit ° already printed). Measured value."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "Express $$\\frac{39}{100}$$ as a decimal.<br>[?]",
   "answer0": "0.39",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 127,
   "difficulty_id": 1,
   "explanation": "A fraction over 100 is written with two decimal places: $$\\frac{39}{100}$$ = 0.39.",
   "hints": [
    "Hundredths means two decimal places.",
    "39 hundredths = 0.39."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 0.39."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "In the figure shown, ABCD is a rectangle. Find ∠EDF.<br>[?]",
   "answer0": "12",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Corner D of the rectangle is a right angle, so ∠ADC = 90°. The given angles ∠ADE = 55° and ∠FDC = 23° lie inside it, so ∠EDF = 90° − 55° − 23° = 12°.",
   "hints": [
    "The corner of a rectangle is 90°.",
    "Subtract the two marked angles (55° and 23°) from 90°."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q22",
   "image_needed": true,
   "image_options": false,
   "image_file": "q22.png",
   "image_page": 11,
   "image_bbox": [
    0.17,
    0.66,
    0.57,
    0.86
   ],
   "image_loc": "rectangle ABCD with lines from D to E (on top) and to F (on right), angles 55° and 23° marked at D, lower-left of page",
   "notes": "Key: 90-(55+23)=12°. Answer is the number of degrees (° printed)."
  },
  {
   "n": 23,
   "type_id": 1,
   "question": "Name the 2 angles that are smaller than 90°.",
   "answer0": "∠a and ∠c",
   "answer1": "∠b and ∠d",
   "answer2": "∠e and ∠b",
   "answer3": "∠a and ∠e",
   "correct_answer": 2,
   "skill_id": 99,
   "difficulty_id": 2,
   "explanation": "Angles smaller than 90° are acute (sharp). In the pentagon the sharp/acute angles are ∠e and ∠b; the others are obtuse (larger than 90°).",
   "hints": [
    "An angle smaller than 90° is acute — it looks 'sharper' than a square corner.",
    "Compare each marked angle to a right angle and pick the two sharp ones."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q23",
   "image_needed": true,
   "image_options": false,
   "image_file": "q23.png",
   "image_page": 12,
   "image_bbox": [
    0.18,
    0.1,
    0.53,
    0.3
   ],
   "image_loc": "irregular pentagon with interior angles labelled a, b, c, d, e, upper-left of page",
   "notes": "Original is open-response ('∠ ___ and ∠ ___'). Converted to MCQ per spec (word/letter answers must be MCQ). Key: ∠e and ∠b (option 3). Other options are distractors."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "8.3 − 0.74 =<br>[?]",
   "answer0": "7.56",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 1,
   "explanation": "Align the decimal points: 8.30 − 0.74 = 7.56.",
   "hints": [
    "Write 8.3 as 8.30 so both have two decimal places.",
    "Subtract: 8.30 − 0.74 = 7.56."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 7.56."
  },
  {
   "n": 25,
   "type_id": 0,
   "question": "Draw ∠KLM = 115° using the given line. Mark and label the angle.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Using a protractor at vertex L on ray LK, mark 115° and draw ray LM. The constructed ∠KLM measures 115°.",
   "hints": [],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q25",
   "image_needed": true,
   "image_options": false,
   "image_file": "q25.png",
   "image_page": 11,
   "image_bbox": [
    0.28,
    0.83,
    0.74,
    0.95
   ],
   "image_loc": "a given line/ray with K on the left and L on the right (with a short arm at L), lower part of page",
   "notes": "Interactive draw-and-label construction — no value answer, set type_id 0 (SKIPPED on insert). Key answer is the construction (∠KLM = 115°)."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "A ribbon was 27.3 m long. Siti used 2.98 m of it for her project. She then cut the remaining ribbon equally into 8 pieces. What was the length of each piece of ribbon?<br>[?]",
   "answer0": "3.04",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Remaining ribbon = 27.3 − 2.98 = 24.32 m. Each piece = 24.32 ÷ 8 = 3.04 m.",
   "hints": [
    "First subtract what Siti used: 27.3 − 2.98.",
    "Then divide the remainder by 8."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q26",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 27.3-2.98=24.32; 24.32÷8=3.04 m. Unit m printed on answer line."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "Muthu slept at 21 35 on Saturday night and woke up at 06 00 the next day. How long did he sleep?<br>[?] h [?] min",
   "answer0": "8",
   "answer1": "25",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 2,
   "explanation": "From 21 35 to 22 00 is 25 min. From 22 00 to 06 00 is 8 h. Total = 8 h 25 min.",
   "hints": [
    "Count up to the next hour first: 21 35 → 22 00 is 25 min.",
    "Then count whole hours from 22 00 to 06 00 (8 h)."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q27",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 8 h 25 min. Two blanks (hours, minutes)."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "The pie chart shows how Rajesh used his monthly salary. The amount of money that he saved is equal to the amount of money he spent on games. He spent $54 on transport.<br>How much money did Rajesh save?<br>$[?]",
   "answer0": "27",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 236,
   "difficulty_id": 2,
   "explanation": "Transport is a right angle (90°) on the pie chart, representing $54. Savings is shown as half of the transport sector (a 45° sector), so savings = $54 ÷ 2 = $27.",
   "hints": [
    "The transport sector is a right angle (a quarter of the circle) worth $54.",
    "Compare the savings sector to the transport sector — it is half as big, so $54 ÷ 2."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q28",
   "image_needed": true,
   "image_options": false,
   "image_file": "q28.png",
   "image_page": 14,
   "image_bbox": [
    0.36,
    0.17,
    0.65,
    0.38
   ],
   "image_loc": "pie chart with sectors Meals, Transport, Savings, Clothes, Games (right-angle mark on the Transport sector), upper-middle of page",
   "notes": "Key: 54÷2=27, so $27. Unit $ printed. Shared figure with Q29."
  },
  {
   "n": 29,
   "type_id": 2,
   "question": "The pie chart shows how Rajesh used his monthly salary. The amount of money that he saved is equal to the amount of money he spent on games. He spent $54 on transport.<br>How much money did Rajesh spend on clothes?<br>$[?]",
   "answer0": "36",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 236,
   "difficulty_id": 3,
   "explanation": "Transport = 90° = $54, so the whole circle (360°) = $54 × 4 = $216. Savings = games = $27 each, so savings + games = $54. Clothes = total − (transport + savings + games) ... using the key: 54×2 = 108 for the two equal-and-related sectors; clothes = 216 − (108 + 72) = $36.",
   "hints": [
    "Find the whole salary: transport is a quarter, so total = $54 × 4.",
    "Subtract the transport, savings and games (and meals) sectors to find clothes."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q29",
   "image_needed": true,
   "image_options": false,
   "image_file": "q29.png",
   "image_page": 14,
   "image_bbox": [
    0.36,
    0.17,
    0.65,
    0.38
   ],
   "image_loc": "same pie chart as Q28 (Meals, Transport, Savings, Clothes, Games), upper-middle of page",
   "notes": "Key working: 54x2=108; 216-(108+72)=36, so $36. Unit $ printed. Shared figure with Q28."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "Ling Ling used 6 identical squares in Figure A to make a rectangular card as shown in Figure B. The perimeter of Figure A was 80 cm. What was the length of the card?<br>[?]",
   "answer0": "12",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Figure A is made of 6 identical squares; its perimeter of 80 cm is made up of 20 square-sides (4 sides each × ... ), giving one side = 4 cm. The card (Figure B) is 3 squares long, so length = 3 × 4 = 12 cm.",
   "hints": [
    "Find the length of one square's side from Figure A's perimeter.",
    "The card's length is 3 squares: multiply one side by 3."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q30",
   "image_needed": true,
   "image_options": false,
   "image_file": "q30.png",
   "image_page": 15,
   "image_bbox": [
    0.22,
    0.17,
    0.78,
    0.32
   ],
   "image_loc": "Figure A (6 squares joined edge-to-edge in a zig-zag) on the left and Figure B (3-by-2 grid of squares with top side marked '?') on the right, upper portion of page",
   "notes": "Key: 4x3=12 cm. One square side = 4 cm; card length = 3 squares. Unit cm printed."
  },
  {
   "n": 31,
   "type_id": 0,
   "question": "The square grid shows line WX and XY of rectangle WXYZ. Complete the drawing and label the rectangle.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Complete the rectangle by drawing YZ parallel and equal to XW and ZW parallel and equal to XY, then label the fourth vertex Z. (Construction answer.)",
   "hints": [],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q31",
   "image_needed": true,
   "image_options": false,
   "image_file": "q31.png",
   "image_page": 15,
   "image_bbox": [
    0.23,
    0.59,
    0.66,
    0.92
   ],
   "image_loc": "square grid with two sides WX and XY of a tilted rectangle already drawn (W at top, X on left, Y at bottom), lower portion of page",
   "notes": "Interactive draw-and-label construction — no value answer, set type_id 0 (SKIPPED on insert)."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "The table shows the cost of flight tickets to three cities, Sydney, London and New York. London $1100, New York $1620.<br>The total cost of tickets to New York and London is 4 times the cost of ticket to Sydney. What is the cost of ticket to Sydney?<br>$[?]",
   "answer0": "680",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Total of New York + London = 1100 + 1620 = 2720. This is 4 times Sydney's cost, so Sydney = 2720 ÷ 4 = $680.",
   "hints": [
    "Add the London and New York ticket prices.",
    "That total is 4 times Sydney, so divide by 4."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q32",
   "image_needed": true,
   "image_options": false,
   "image_file": "q32.png",
   "image_page": 16,
   "image_bbox": [
    0.18,
    0.15,
    0.58,
    0.26
   ],
   "image_loc": "table of Country vs Ticket Price ($): Sydney '?', London $1100, New York $1620, upper-left of page",
   "notes": "Key: 1100+1620=2720; 2720÷4=680, so $680. Unit $ printed."
  },
  {
   "n": 33,
   "type_id": 0,
   "question": "Complete the symmetric figure with the dotted line as a line of symmetry.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "Reflect each vertex of the given half across the dotted diagonal line of symmetry and join them to complete the symmetric figure. (Construction answer.)",
   "hints": [],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q33",
   "image_needed": true,
   "image_options": false,
   "image_file": "q33.png",
   "image_page": 16,
   "image_bbox": [
    0.22,
    0.5,
    0.66,
    0.92
   ],
   "image_loc": "square grid with a partial zig-zag figure on one side and a dotted diagonal line of symmetry, lower portion of page",
   "notes": "Interactive draw/reflect construction — no value answer, set type_id 0 (SKIPPED on insert)."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "Container X has 96 more balls than Container Y. How many balls must be transferred from Container Y to Container X so that it has 112 balls less than Container X?<br>[?]",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "The required new difference is 112. The difference grows by 2 for every ball moved from Y to X (X gains one, Y loses one). Extra difference needed = 112 − 96 = 16. Balls to transfer = 16 ÷ 2 = 8.",
   "hints": [
    "Moving 1 ball from Y to X changes the difference by 2.",
    "Find how much the difference must increase (112 − 96), then divide by 2."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q34",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 112-96=16; 16÷2=8."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "A grocery store has a special offer for potato chips. One packet costs $1.90. Offer: 3 packets for $5.40.<br>Bryan wants to buy 14 packets of potato chips. What is the least amount of money he has to pay?<br>$[?]",
   "answer0": "25.40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Buy as many 3-packet bundles as possible: 14 ÷ 3 = 4 bundles (12 packets) remainder 2 packets. 4 bundles cost 4 × $5.40 = $21.60. The remaining 2 packets cost 2 × $1.90 = $3.80. Total = $21.60 + $3.80 = $25.40.",
   "hints": [
    "The bundle (3 for $5.40 = $1.80 each) is cheaper, so buy as many bundles as you can.",
    "14 = 4 bundles (12 packets) + 2 single packets; add the costs."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q35",
   "image_needed": true,
   "image_options": false,
   "image_file": "q35.png",
   "image_page": 17,
   "image_bbox": [
    0.3,
    0.45,
    0.66,
    0.6
   ],
   "image_loc": "a packet of chips labelled '$1.90 per packet' next to a starburst label '3 packets for $5.40', upper-middle of page",
   "notes": "Key: 14÷3=4R2; 5.40x4=21.60; 1.90x2=3.80; 21.60+3.80=$25.40. Unit $ printed."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Factory A and Factory B produce 1508 boxes a day. Factory B produces 3 times as many boxes as Factory A. How many boxes does Factory B produce?<br>[?]",
   "answer0": "1131",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Factory B is 3 times Factory A, so together they are 3 + 1 = 4 equal units = 1508 boxes. One unit (Factory A) = 1508 ÷ 4 = 377. Factory B = 3 × 377 = 1131 boxes.",
   "hints": [
    "A = 1 unit, B = 3 units, so total = 4 units = 1508.",
    "Find 1 unit (1508 ÷ 4), then Factory B is 3 units."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q36",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 3+1=4; 1508÷4=377; 377x3=1131."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "The line graph shows Mary's savings from January to June.<br>a) What was the amount of money Mary saved in January?<br>[?]<br>b) What was the difference between the amount of savings in the month that Mary saved the most and the least?<br>[?]",
   "answer0": "1160",
   "answer1": "560",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 147,
   "difficulty_id": 2,
   "explanation": "a) Reading the graph at January gives $1160. b) The most was February ($1380) and the least was June ($820). Difference = 1380 − 820 = $560.",
   "hints": [
    "For (a) read the height of the January point on the graph.",
    "For (b) find the highest and lowest points and subtract."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q37",
   "image_needed": true,
   "image_options": false,
   "image_file": "q37.png",
   "image_page": 19,
   "image_bbox": [
    0.18,
    0.12,
    0.85,
    0.58
   ],
   "image_loc": "line graph 'Mary's Savings' (Monthly Savings $ vs Month Jan–Jun), upper half of page",
   "notes": "Key: a) $1160; b) 1380-820=560, so $560. Two parts (a, b)."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Mrs Choo bought a peach, 2 pears and 6 apples for $8.70. The cost of 1 pear and 3 apples was $2.60. What was the cost of the peach?<br>$[?]",
   "answer0": "3.50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "2 pears + 6 apples = 2 × (1 pear + 3 apples) = 2 × $2.60 = $5.20. Peach = total − (2 pears + 6 apples) = $8.70 − $5.20 = $3.50.",
   "hints": [
    "2 pears + 6 apples is double (1 pear + 3 apples).",
    "Subtract that doubled cost from $8.70 to get the peach."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q38",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 2.60x2=5.20; 8.70-5.20=$3.50. Unit $ printed."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "Ali bought 8 kg of flour. He used $$\\frac{2}{5}$$ kg of the flour to bake a cake and $$\\frac{1}{4}$$ kg of it to bake chocolate cookies.<br>a) What was the total mass of flour he used altogether?<br>[?]<br>b) What was the mass of flour he had left?<br>[?]",
   "answer0": "13/20",
   "answer1": "7 7/20",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "a) Total used = $$\\frac{2}{5} + \\frac{1}{4}$$. Common denominator 20: $$\\frac{8}{20} + \\frac{5}{20}$$ = $$\\frac{13}{20}$$ kg. b) Left = 8 − $$\\frac{13}{20}$$ = $$7\\frac{7}{20}$$ kg.",
   "hints": [
    "Use a common denominator of 20 to add 2/5 and 1/4.",
    "Subtract the total used from 8 kg for the amount left."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q39",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 13/20 kg; b) 8 - 13/20 = 7 7/20 kg. Two parts; student types fractions as 13/20 and 7 7/20."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "Mr Wong earned $0.25 for every newspaper he sold. He earned an additional $1.50 for every 10 copies of newspaper sold.<br>a) How much did Mr Wong earn in total for selling 10 copies of newspaper?<br>$[?]<br>b) He earned $48 one day. How many copies of newspaper did he sell that day?<br>[?]",
   "answer0": "4",
   "answer1": "120",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "a) 10 copies earn 10 × $0.25 = $2.50 plus the $1.50 bonus = $4.00. b) Every 10 copies earn $4, so $48 ÷ $4 = 12 sets of 10 copies = 12 × 10 = 120 copies.",
   "hints": [
    "For (a): 10 × $0.25 then add the $1.50 bonus.",
    "For (b): each block of 10 copies earns $4; divide $48 by $4, then × 10."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q40",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 0.25x10=2.50; 2.5+1.5=$4. b) 48÷4=12; 12x10=120. Two parts; (a) is $4, (b) is 120 copies."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "The time in New Zealand is 4 hours ahead of the time in Singapore. When it is 10 00 in Singapore, it is 14 00 in New Zealand. Kathy went to New Zealand for a work trip. She would be taking a flight from New Zealand at 06 40 to come back to Singapore. The flight duration is 9 h 55 min. At what time would Kathy reach Singapore?<br>[?]",
   "answer0": "1235",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 135,
   "difficulty_id": 3,
   "explanation": "Flight leaves NZ at 06 40. Arrival in NZ time = 06 40 + 9 h 55 min = 16 35 (NZ time). Singapore is 4 h behind NZ, so subtract 4 h: 16 35 − 4 h = 12 35. Kathy reaches Singapore at 12 35.",
   "hints": [
    "Add the flight duration to the departure time (in NZ time).",
    "Then convert to Singapore time by subtracting 4 hours."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1235 (12 35 Singapore time)."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "The figures are formed using identical sticks. In the table: Figure 1 uses 8 sticks (2 triangles), Figure 2 uses 15 sticks (4 triangles), Figure 3 uses 22 sticks (6 triangles), Figure 4 uses (a) sticks (8 triangles).<br>a) How many sticks are there in Figure 4?<br>[?]<br>b) How many triangles are there in Figure 18?<br>[?]<br>c) How many sticks are there in Figure 50?<br>[?]",
   "answer0": "29",
   "answer1": "36",
   "answer2": "351",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 3,
   "explanation": "Sticks follow 7 × figure number + 1: Figure n has 7n + 1 sticks. a) Figure 4 = 7×4 + 1 = 29 sticks. b) Triangles = 2 × figure number, so Figure 18 = 2 × 18 = 36 triangles. c) Figure 50 sticks = 7×50 + 1 = 351 sticks.",
   "hints": [
    "Sticks increase by 7 each time (8, 15, 22, ...); the rule is 7 × figure + 1.",
    "Triangles are 2 × the figure number."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q42",
   "image_needed": true,
   "image_options": false,
   "image_file": "q42.png",
   "image_page": 24,
   "image_bbox": [
    0.18,
    0.13,
    0.82,
    0.28
   ],
   "image_loc": "Figures 1–4 of stick patterns (stacks of triangle/diamond shapes) above the data table, upper portion of page",
   "notes": "Key: a)22+7=29; b)18x2=36; c)(7x50)+1=351. Three parts. Table reproduced in stem so the figure is the pattern pictures only."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Mr Lim had 344 fruits. $$\\frac{3}{4}$$ of the fruits sold were apples. Half of the remaining fruits sold were oranges and the rest were pears.<br>a) How many apples did he sell?<br>[?]<br>b) Mr Lim wanted to sell as many oranges as apples. How many more oranges would he need?<br>[?]",
   "answer0": "258",
   "answer1": "215",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "1 unit = 344 ÷ 4 = 86. a) Apples = $$\\frac{3}{4}$$ = 3 units = 3 × 86 = 258. b) Remaining = 86; oranges = half = 86 ÷ 2 = 43. To match the apples (258), more oranges needed = 258 − 43 = 215.",
   "hints": [
    "Find 1 unit: 344 ÷ 4 = 86. Apples are 3 units.",
    "Oranges are half of the remaining quarter; subtract that from the apple count."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: a) 344÷4=86, 86x3=258 apples; b) 86÷2=43 oranges, 258-43=215 more."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 $$cm^2$$. Find the area of the unshaded square.<br>[?]",
   "answer0": "121",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "The big (outer) square's side = perimeter of the shaded L-shape ÷ 4 = 64 ÷ 4 = 16 cm, so the big square's area = 16 × 16 = 256 $$cm^2$$. The unshaded square = big square − shaded part = 256 − 135 = 121 $$cm^2$$.",
   "hints": [
    "The outer (big) square's perimeter equals the shaded part's perimeter: side = 64 ÷ 4.",
    "Big square area minus shaded area gives the unshaded square area."
   ],
   "source": "Raffles 2024 P4 EOY Practice Set 2 Q44",
   "image_needed": true,
   "image_options": false,
   "image_file": "q44.png",
   "image_page": 26,
   "image_bbox": [
    0.38,
    0.18,
    0.65,
    0.37
   ],
   "image_loc": "a large square with an L-shaped shaded border and a smaller unshaded square in the lower-right corner, upper-middle of page",
   "notes": "The printed answer-key box for Q44 mistakenly repeats Q43's working (86, 215); the handwritten working beside it (64÷4=16; 16x16=256; 256-135=121 cm^2) is the correct Q44 answer. Key (corrected): 121 cm^2."
  }
 ]
}