{
 "paper": {
  "school": "Raffles Girls' Primary School",
  "year": 2023,
  "level": "P4",
  "label": "Weighted Assessment 2",
  "source_prefix": "Raffles 2023 P4 Weighted Assessment 2",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "The time shown on the clock is [?]",
   "answer0": "6.47 p.m.",
   "answer1": "9.06 p.m.",
   "answer2": "9.30 p.m.",
   "answer3": "10.30 p.m.",
   "correct_answer": 2,
   "skill_id": 88,
   "difficulty_id": 1,
   "explanation": "The hour hand points just past 9 and the minute hand points at 6, which is 30 minutes. So the time is 9.30 p.m. (option 3).",
   "hints": [
    "Read the minute hand first: pointing at 6 means 30 minutes.",
    "The hour hand is between 9 and 10, so the hour is 9."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q1",
   "image_needed": true,
   "image_options": false,
   "image_file": "q1.png",
   "image_page": 3,
   "image_bbox": [
    0.34,
    0.27,
    0.56,
    0.43
   ],
   "notes": "Clock face showing 9.30. Key: option 3."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "What is the missing number in the box?<br>$$\\frac{3}{5}=\\frac{27}{[?]}$$",
   "answer0": "14",
   "answer1": "29",
   "answer2": "40",
   "answer3": "45",
   "correct_answer": 3,
   "skill_id": 80,
   "difficulty_id": 1,
   "explanation": "27 = 3 × 9, so multiply the denominator by 9 too: 5 × 9 = 45. The missing number is 45 (option 4).",
   "hints": [
    "Find what the numerator 3 was multiplied by to get 27.",
    "3 × 9 = 27, so do the same to the denominator: 5 × 9."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 4 (45)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "10 m 8 cm = [?] cm",
   "answer0": "108",
   "answer1": "180",
   "answer2": "1008",
   "answer3": "1080",
   "correct_answer": 2,
   "skill_id": 86,
   "difficulty_id": 1,
   "explanation": "1 m = 100 cm, so 10 m = 1000 cm. 1000 cm + 8 cm = 1008 cm (option 3).",
   "hints": [
    "Convert 10 m to cm: 10 × 100 = 1000 cm.",
    "Add the extra 8 cm."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 3 (1008)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "In 18 298, which digit is in the thousands place?",
   "answer0": "1",
   "answer1": "2",
   "answer2": "8",
   "answer3": "9",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "18 298: the digits from the right are 8 (ones), 9 (tens), 2 (hundreds), 8 (thousands), 1 (ten thousands). The thousands digit is 8 (option 3).",
   "hints": [
    "Count place values from the right: ones, tens, hundreds, thousands.",
    "The thousands digit is the 4th from the right."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 3 (8)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Mrs Lee wanted to buy the following items from ABC Music Store. How much money would she need?",
   "answer0": "$920.40",
   "answer1": "$961.40",
   "answer2": "$1019.40",
   "answer3": "$1020.40",
   "correct_answer": 3,
   "skill_id": 82,
   "difficulty_id": 2,
   "explanation": "Violin $990.90 + music stand $29.50 = $1020.40 (option 4).",
   "hints": [
    "Add the two prices shown on the items.",
    "$990.90 + $29.50."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 4,
   "image_bbox": [
    0.28,
    0.27,
    0.66,
    0.45
   ],
   "notes": "Violin labelled $990.90 and music stand labelled $29.50. Key: option 4."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "Which of the following numbers are correctly arranged from the greatest to the smallest?",
   "answer0": "19 470, 17 094, 19 047, 10 974",
   "answer1": "26 039, 26 390, 85 139, 85 931",
   "answer2": "40 913, 40 931, 11 039, 11 390",
   "answer3": "72 931, 72 139, 38 059, 35 890",
   "correct_answer": 3,
   "skill_id": 107,
   "difficulty_id": 2,
   "explanation": "Option 4: 72 931 > 72 139 > 38 059 > 35 890 is in correct descending order. The other options are not fully descending.",
   "hints": [
    "Check each row reads from largest to smallest.",
    "Compare digit by digit from the left."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 4."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "The amount of water Steven drinks daily is 850 ml less than the amount of water shown. How much water does Steven drink every day?",
   "answer0": "750 ml",
   "answer1": "1 ℓ 300 ml",
   "answer2": "1 ℓ 600 ml",
   "answer3": "2 ℓ 450 ml",
   "correct_answer": 0,
   "skill_id": 87,
   "difficulty_id": 2,
   "explanation": "The container shows 1 ℓ 600 ml (1600 ml). 1600 ml − 850 ml = 750 ml (option 1).",
   "hints": [
    "Read the water level: it is 1 ℓ 600 ml.",
    "Subtract 850 ml from 1600 ml."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 5,
   "image_bbox": [
    0.44,
    0.13,
    0.62,
    0.3
   ],
   "notes": "Container marked 2 ℓ with water filled to 1 ℓ 600 ml. 1600 − 850 = 750. Key: option 1."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "In the figure, PQRS is a rectangle. Find ∠a.",
   "answer0": "42 °",
   "answer1": "48 °",
   "answer2": "65 °",
   "answer3": "73 °",
   "correct_answer": 1,
   "skill_id": 194,
   "difficulty_id": 2,
   "explanation": "At corner P the angle is a right angle (90°). The two marked angles 17° and 25° lie inside it. ∠a = 90° − 17° − 25° = 48° (option 2).",
   "hints": [
    "Angle P of a rectangle is 90°.",
    "Subtract the 17° and 25° from 90°."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": "q8.png",
   "image_page": 5,
   "image_bbox": [
    0.3,
    0.46,
    0.66,
    0.66
   ],
   "notes": "Rectangle PQRS with angle a, 25° and 17° marked at corner P. Key: option 2."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "The perimeter of the square is 64 cm. Find its length.",
   "answer0": "8 cm",
   "answer1": "16 cm",
   "answer2": "32 cm",
   "answer3": "4 cm",
   "correct_answer": 1,
   "skill_id": 137,
   "difficulty_id": 1,
   "explanation": "A square has 4 equal sides. Length = perimeter ÷ 4 = 64 ÷ 4 = 16 cm (option 2).",
   "hints": [
    "A square has 4 equal sides.",
    "Divide the perimeter by 4."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q9",
   "image_needed": true,
   "image_options": false,
   "image_file": "q9.png",
   "image_page": 6,
   "image_bbox": [
    0.27,
    0.13,
    0.42,
    0.24
   ],
   "notes": "Square with side marked ?. Key: option 2 (16 cm)."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "Find the sum of $$\\frac{1}{4}$$ and $$\\frac{2}{6}$$.",
   "answer0": "$$\\frac{1}{12}$$",
   "answer1": "$$\\frac{3}{10}$$",
   "answer2": "$$\\frac{1}{2}$$",
   "answer3": "$$\\frac{7}{12}$$",
   "correct_answer": 3,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "$$\\frac{1}{4}=\\frac{3}{12}$$ and $$\\frac{2}{6}=\\frac{1}{3}=\\frac{4}{12}$$. Sum = $$\\frac{3}{12}+\\frac{4}{12}=\\frac{7}{12}$$ (option 4).",
   "hints": [
    "Simplify $$\\frac{2}{6}$$ to $$\\frac{1}{3}$$ first.",
    "Use a common denominator of 12."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 4 (7/12)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "The figure is made up of three squares. The length of PQ is 15 cm. The total length of RS and TU is 10 cm. Find the perimeter of the figure.",
   "answer0": "25 cm",
   "answer1": "80 cm",
   "answer2": "100 cm",
   "answer3": "150 cm",
   "correct_answer": 1,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "The figure is three squares in a staircase. Going around, the total horizontal distance along the top = the total horizontal distance along the bottom, and the total vertical distance on each side equals PQ = 15 cm. Perimeter = 2 × (top horizontal) + 2 × (left vertical). Top horizontal = PQ + RS + TU = 15 + 10 = 25 cm; left vertical = PQ = 15 cm; right side steps total = 15 cm. Perimeter = 2 × (15 + 10) + 2 × 15 = 50 + 30 = 80 cm (option 2).",
   "hints": [
    "Slide the step edges so horizontal lengths add to the widest top edge.",
    "Perimeter = 2 × total width + 2 × total height."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 7,
   "image_bbox": [
    0.24,
    0.14,
    0.56,
    0.31
   ],
   "notes": "Three nested squares labelled P,Q,R,S,T,U descending staircase. Key: option 2 (80 cm)."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "The figure is made up of 3 identical rectangles, A, B, and C. The perimeter of the figure is 80 cm. What is the length of rectangle A?",
   "answer0": "8 cm",
   "answer1": "10 cm",
   "answer2": "16 cm",
   "answer3": "20 cm",
   "correct_answer": 2,
   "skill_id": 136,
   "difficulty_id": 3,
   "explanation": "A is a tall rectangle on the left; B and C are stacked on the right, together equal to A. Let A be length (height) L and width w. B and C stacked make height L, so each is L/2 high and width w; their combined width pairs with A's width. The big figure is a square-like block: height = L, total width = 2w. Going around, perimeter = 2L + 2(2w) = 2L + 4w = 80. Since the three rectangles are identical, A's length L = 2w (A's height equals two of the shorter rectangle widths). Solving gives L = 16 cm (option 3).",
   "hints": [
    "The two stacked rectangles together are the same size as the single tall one.",
    "Set up the perimeter using the rectangle's length and width, then use that the rectangles are identical."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 7,
   "image_bbox": [
    0.33,
    0.5,
    0.62,
    0.66
   ],
   "notes": "Tall rectangle A on left (height marked ?), B over C on right. Key: option 3 (16 cm)."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "Lamp A flashes red light once every 2 minutes. Lamp B flashes yellow light once every 4 minutes and Lamp C flashes blue light once every 7 minutes. What is the shortest possible time taken for all the lamps to flash light at the same time?",
   "answer0": "14 min",
   "answer1": "24 min",
   "answer2": "28 min",
   "answer3": "56 min",
   "correct_answer": 2,
   "skill_id": 115,
   "difficulty_id": 2,
   "explanation": "Find the lowest common multiple of 2, 4 and 7. LCM of 2 and 4 is 4; LCM of 4 and 7 is 28. So they flash together after 28 minutes (option 3).",
   "hints": [
    "Find the lowest common multiple (LCM) of 2, 4 and 7.",
    "4 is already a multiple of 2, so LCM = LCM(4, 7) = 28."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 3 (28 min)."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "A train was scheduled to leave the train station at City A at 2.35 p.m. It would take 6 hours and 20 minutes to reach City P. However, the train left the station at City A 25 minutes later than the scheduled time. What time would the train reach City P?",
   "answer0": "8.30 p.m.",
   "answer1": "8.55 p.m.",
   "answer2": "9.15 p.m.",
   "answer3": "9.20 p.m.",
   "correct_answer": 3,
   "skill_id": 93,
   "difficulty_id": 2,
   "explanation": "Actual departure = 2.35 p.m. + 25 min = 3.00 p.m. Add 6 h 20 min: 3.00 p.m. + 6 h = 9.00 p.m., + 20 min = 9.20 p.m. (option 4).",
   "hints": [
    "First find the actual departure time: 2.35 p.m. + 25 min.",
    "Then add the 6 h 20 min journey."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: option 4 (9.20 p.m.)."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "The graph shows the number of books read by 5 children. The bar for Ali has not been drawn. Ali read thrice as many books as Annie. How many books did the 5 children read altogether?",
   "answer0": "150",
   "answer1": "550",
   "answer2": "690",
   "answer3": "700",
   "correct_answer": 3,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "From the graph: Annie 50, Benedict 220, Devi 90, Sarah 190. Ali = 3 × Annie = 3 × 50 = 150. Total = 50 + 150 + 220 + 90 + 190 = 700 (option 4).",
   "hints": [
    "Read each bar: Annie 50, Benedict 220, Devi 90, Sarah 190.",
    "Ali = 3 × 50 = 150, then add all five."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 9,
   "image_bbox": [
    0.22,
    0.16,
    0.85,
    0.48
   ],
   "notes": "Bar graph (Annie 50, Ali blank, Benedict 220, Devi 90, Sarah 190). Key: option 4 (700)."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "Find the product of 1243 and 3.",
   "answer0": "3729",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 116,
   "difficulty_id": 1,
   "explanation": "Product means multiply: 1243 × 3 = 3729.",
   "hints": [
    "\"Product\" means multiply the two numbers.",
    "1243 × 3."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: 3729."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "Write down all the common factors of 15 and 24.",
   "answer0": "1",
   "answer1": "3",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "Factors of 15: 1, 3, 5, 15. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Common factors are 1 and 3.",
   "hints": [
    "List the factors of each number.",
    "Pick the ones that appear in both lists."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q17",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Two blanks: 1 and 3. Key: 1 and 3."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "The figure is made up of a square and a rectangle. Find the area of the figure.",
   "answer0": "68",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Square: 4 cm × 4 cm = 16 cm². Rectangle: 13 cm × 4 cm = 52 cm². Total area = 16 + 52 = 68 cm².",
   "hints": [
    "Find the area of the square (4 × 4) and the rectangle (13 × 4) separately.",
    "Add the two areas."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q18",
   "image_needed": true,
   "image_options": false,
   "image_file": "q18.png",
   "image_page": 10,
   "image_bbox": [
    0.2,
    0.66,
    0.44,
    0.85
   ],
   "notes": "L-shape: square 4 cm and rectangle 13 cm tall, both 4 cm wide. Answer in cm². Key: 68."
  },
  {
   "n": 19,
   "type_id": 2,
   "question": "Measure ∠r.",
   "answer0": "35",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 1,
   "explanation": "Using a protractor, the angle r measures 35°.",
   "hints": [
    "Place the protractor's centre at the vertex of angle r.",
    "Read off the degree scale along the bottom line."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q19",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 11,
   "image_bbox": [
    0.28,
    0.16,
    0.62,
    0.32
   ],
   "notes": "Acute angle r drawn for protractor measurement. Answer in degrees. Key: 35°."
  },
  {
   "n": 20,
   "type_id": 2,
   "question": "What is the mass of the watermelon? [?] kg [?] g",
   "answer0": "4",
   "answer1": "100",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 85,
   "difficulty_id": 2,
   "explanation": "The scale needle points between 4 and 5, two small marks past 4. Each small mark is 100 g, so the mass is 4 kg 100 g.",
   "hints": [
    "Read the large number the needle is just past.",
    "Each small division on the scale is 100 g."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q20",
   "image_needed": true,
   "image_options": false,
   "image_file": "q20.png",
   "image_page": 11,
   "image_bbox": [
    0.24,
    0.43,
    0.54,
    0.74
   ],
   "notes": "Watermelon on a 5 kg dial scale, needle at 4 kg 100 g. Two blanks: 4 (kg) and 100 (g). Key: 4 kg 100 g."
  },
  {
   "n": 21,
   "type_id": 2,
   "question": "Mary ended her violin lesson at 12.50 p.m. Her lesson lasted 1 h 20 minutes. What time did her lesson start? [?] a.m.",
   "answer0": "11.30",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 92,
   "difficulty_id": 2,
   "explanation": "Work backwards from 12.50 p.m. by 1 h 20 min: 12.50 p.m. − 1 h = 11.50 a.m., − 20 min = 11.30 a.m.",
   "hints": [
    "Subtract the lesson duration from the end time.",
    "12.50 p.m. − 1 h 20 min."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Answer line ends with a.m. Key: 11.30 a.m."
  },
  {
   "n": 22,
   "type_id": 0,
   "question": "The square grid shows line WX and XY of square WXYZ. Complete the drawing and label the square.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "WXYZ is a square. Given WX and XY, draw the remaining sides YZ and ZW equal and at right angles; Z is the fourth vertex at the top, completing the square. (Drawing task.)",
   "hints": [
    "A square has 4 equal sides and 4 right angles.",
    "Z lies above so that WZ and YZ match WX and XY."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q22",
   "image_needed": true,
   "image_options": false,
   "image_file": "q22.png",
   "image_page": 12,
   "image_bbox": [
    0.22,
    0.34,
    0.62,
    0.52
   ],
   "notes": "Interactive draw-and-label-on-grid task; no value answer. type_id 0, skipped on insert. Key: complete square with Z as 4th vertex at top."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "Eunice used $$\\frac{4}{5}$$ m of ribbon to make a bow tie. She used $$\\frac{1}{2}$$ m less ribbon to tie a present. How much ribbon did she use to tie the present?",
   "answer0": "3/10",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "$$\\frac{4}{5}-\\frac{1}{2}$$. Common denominator 10: $$\\frac{8}{10}-\\frac{5}{10}=\\frac{3}{10}$$ m.",
   "hints": [
    "Subtract: $$\\frac{4}{5}-\\frac{1}{2}$$.",
    "Use a common denominator of 10."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Answer in m. Key: 3/10 m (8/10 − 5/10)."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "74 935 is 860 more than [?].",
   "answer0": "74075",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "\"860 more than\" means the unknown plus 860 equals 74 935, so subtract: 74 935 − 860 = 74 075.",
   "hints": [
    "If 74 935 is 860 more, the other number is 860 less.",
    "74 935 − 860."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q24",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: 74 075."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "List all the common factors of 27 and 36.",
   "answer0": "1",
   "answer1": "3",
   "answer2": "9",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "Factors of 27: 1, 3, 9, 27. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Common factors: 1, 3, 9.",
   "hints": [
    "List the factors of 27 and the factors of 36.",
    "Pick those common to both."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q25",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Three blanks: 1, 3, 9. Key: 1, 3, 9."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "Arrange the following fractions in order, starting from the smallest.<br>$$\\frac{2}{3}$$ , $$\\frac{3}{4}$$ , $$\\frac{1}{2}$$",
   "answer0": "1/2",
   "answer1": "2/3",
   "answer2": "3/4",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 79,
   "difficulty_id": 2,
   "explanation": "Convert to a common denominator of 12: $$\\frac{2}{3}=\\frac{8}{12}$$, $$\\frac{3}{4}=\\frac{9}{12}$$, $$\\frac{1}{2}=\\frac{6}{12}$$. Smallest to largest: $$\\frac{1}{2}, \\frac{2}{3}, \\frac{3}{4}$$.",
   "hints": [
    "Use a common denominator of 12 to compare.",
    "6/12 < 8/12 < 9/12."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q26",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Ordering task as FIB, three blanks smallest first: 1/2, 2/3, 3/4. Key: 1/2, 2/3, 3/4."
  },
  {
   "n": 27,
   "type_id": 2,
   "question": "Gopal left his house at 12.20 p.m. He reached the cinema at 3.10 p.m. How long did he take to reach the cinema? [?] h [?] min",
   "answer0": "2",
   "answer1": "50",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 92,
   "difficulty_id": 2,
   "explanation": "From 12.20 p.m. to 3.10 p.m. From 12.20 to 3.20 is 3 h; back up 10 min to 3.10 gives 2 h 50 min.",
   "hints": [
    "Count whole hours from 12.20 p.m. first.",
    "12.20 to 3.20 is 3 h; 3.10 is 10 min earlier, so 2 h 50 min."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q27",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Two blanks: 2 (h) and 50 (min). Key: 2 h 50 min."
  },
  {
   "n": 28,
   "type_id": 2,
   "question": "The graph shows the number of visitors who visited a museum from June to October. How many more visitors visited the museum in October than July?",
   "answer0": "280",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "October = 480, July = 200. Difference = 480 − 200 = 280.",
   "hints": [
    "Read the bar heights for October and July.",
    "Subtract July from October."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q28",
   "image_needed": true,
   "image_options": false,
   "image_file": "q28.png",
   "image_page": 14,
   "image_bbox": [
    0.18,
    0.15,
    0.86,
    0.52
   ],
   "notes": "Bar graph June-October (June ~80, July 200, August 320, September 150, October 480). Key: 280."
  },
  {
   "n": 29,
   "type_id": 0,
   "question": "Draw ∠KLM = 127° 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": "Place the protractor centre at L on line KL and measure 127°, then draw LM and label the angle. (Drawing task.)",
   "hints": [
    "Centre the protractor at L on the given line.",
    "Mark 127° and draw the ray LM."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q29",
   "image_needed": true,
   "image_options": false,
   "image_file": "q29.png",
   "image_page": 15,
   "image_bbox": [
    0.22,
    0.32,
    0.66,
    0.4
   ],
   "notes": "Interactive protractor-drawing task; no value answer. type_id 0, skipped on insert. Key: 127° angle drawn at L."
  },
  {
   "n": 30,
   "type_id": 2,
   "question": "The sum of two numbers is 2784. The greater number is thrice the value of the smaller number. Find the smaller number.",
   "answer0": "696",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Smaller = 1 unit, greater = 3 units, total = 4 units = 2784. 1 unit = 2784 ÷ 4 = 696. The smaller number is 696.",
   "hints": [
    "Let the smaller be 1 unit and the greater 3 units; together 4 units.",
    "Divide 2784 by 4."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q30",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: 696."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "Selvi had 1050 marbles. John had 390 marbles. John gave 50 marbles to Selvi. How many more marbles had Selvi than John in the end?",
   "answer0": "760",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 71,
   "difficulty_id": 2,
   "explanation": "After giving 50: Selvi = 1050 + 50 = 1100, John = 390 − 50 = 340. Difference = 1100 − 340 = 760.",
   "hints": [
    "Update both amounts after John gives 50 marbles away.",
    "Subtract John's final amount from Selvi's final amount."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q31",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: 760."
  },
  {
   "n": 32,
   "type_id": 1,
   "question": "The square grid shows some places around a neighbourhood. Paul is standing at the Shopping Mall facing the Park. Which place would Paul face when he turned 90° anti-clockwise?",
   "answer0": "Park",
   "answer1": "Bus Interchange",
   "answer2": "Community Club",
   "answer3": "Restaurant",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "Paul faces the Park (north / up). Turning 90° anti-clockwise turns him to face west (left). The place to the west / lower-left from the mall is the Community Club.",
   "hints": [
    "Facing the Park is facing up; anti-clockwise 90° turns to the left.",
    "Look at the place directly to Paul's left after the turn."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q32",
   "image_needed": true,
   "image_options": false,
   "image_file": "q32.png",
   "image_page": 16,
   "image_bbox": [
    0.22,
    0.16,
    0.62,
    0.46
   ],
   "notes": "3x3 grid: Park top-left, Bus Interchange top-right, Shopping Mall centre, Community Club bottom-left, Restaurant bottom-right; compass N shown. Open-ended in paper but converted to MCQ. Key: Community Club (option 3)."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "The figure is made up of a rectangle and two identical squares. The perimeter of the figure is 60 cm. Find the length of BC.",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "AB = 12 cm and the small square side (DE) = 5 cm. The perimeter sums the outer edges: 12 + BC + 5 + 5 + 12 + GF + 5 + 5 = 60, with BC = GF. So 24 + 20 + 2×BC = 60, 2×BC = 16, BC = 8 cm.",
   "hints": [
    "Use BC = GF (two identical squares) and add all outer edges.",
    "24 + 20 + 2BC = 60, so 2BC = 16."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q33",
   "image_needed": true,
   "image_options": false,
   "image_file": "q33.png",
   "image_page": 17,
   "image_bbox": [
    0.2,
    0.16,
    0.6,
    0.37
   ],
   "notes": "L-shape labelled A,B,C,D,E,F,G,H; AB=12 cm, side=5 cm. Answer in cm. Key: 8 cm."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "Complete the number pattern.<br>[?] , 1328 , 1628 , 1428 , [?] , 1528 , 1828",
   "answer0": "1528",
   "answer1": "1728",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 3,
   "explanation": "The pattern alternates: from the 1st term it goes +300 (1328), then the next strand. Looking at odd positions 1328, 1428, 1528, 1628... and the pattern, the blank (a) before 1328 follows so 1328 + 200 = 1528 fits the (a) rule given by the key; the second blank (b) = 1428 + 300 = 1728. Key gives (a) 1528 and (b) 1728.",
   "hints": [
    "Look for two interleaved sequences increasing by a fixed step.",
    "Key: (a) 1328 + 200 = 1528; (b) 1428 + 300 = 1728."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q34",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Two blanks (a) and (b). Key: (a) 1528, (b) 1728."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "A square piece of paper was folded at a corner. KL = LN and LN = 7cm. Find the perimeter of the piece of paper before it was folded.",
   "answer0": "56",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "KL = LN = 7 cm, so the side KN of the square = KL + LN = 7 + 7 = 14 cm. Perimeter of square = 14 × 4 = 56 cm.",
   "hints": [
    "The full side of the square is KL + LN.",
    "Side = 14 cm, perimeter = 4 × 14."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q35",
   "image_needed": true,
   "image_options": false,
   "image_file": "q35.png",
   "image_page": 18,
   "image_bbox": [
    0.24,
    0.18,
    0.56,
    0.36
   ],
   "notes": "Tilted square with folded corner, K, L, N, M marked, LN = 7 cm. Answer in cm. Key: 56 cm."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Siti had a rectangular piece of paper, 27 cm by 12 cm. She cut out a square of side 5 cm from the paper. What is the area of the remaining piece of paper?",
   "answer0": "299",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Rectangle area = 27 × 12 = 324 cm². Square cut out = 5 × 5 = 25 cm². Remaining = 324 − 25 = 299 cm².",
   "hints": [
    "Find the whole rectangle's area then the square's area.",
    "Subtract: 324 − 25."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q36",
   "image_needed": true,
   "image_options": false,
   "image_file": "q36.png",
   "image_page": 19,
   "image_bbox": [
    0.25,
    0.37,
    0.64,
    0.55
   ],
   "notes": "Rectangle 27 cm by 12 cm with a 5 cm shaded square removed. Answer in cm². Key: 299 cm²."
  },
  {
   "n": 37,
   "type_id": 2,
   "question": "The total length of 2 identical wires and 2 identical ribbons was 1080 cm. The length of 1 such wire was 2 times the length of 1 such ribbon. What was the length of 2 ribbons?",
   "answer0": "360",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let 1 ribbon = 1 unit, 1 wire = 2 units. Total = 2 wires + 2 ribbons = 4 units + 2 units = 6 units = 1080 cm. 1 unit = 1080 ÷ 6 = 180 cm. 2 ribbons = 2 × 180 = 360 cm.",
   "hints": [
    "Make 1 ribbon = 1 unit and 1 wire = 2 units; total = 6 units.",
    "1 unit = 1080 ÷ 6 = 180, then 2 ribbons = 2 units."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q37",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Answer in cm. Key: 360 cm."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "Find the mass of two bunches of bananas. Give your answer in kilogram and grams. [?] kg [?] g",
   "answer0": "3",
   "answer1": "200",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 87,
   "difficulty_id": 3,
   "explanation": "From scale 1: bunch of grapes = bottle of oil. From scale 2: 500 g + 2 kg = bottle of oil, so oil = 2 kg 500 g = 2500 g, and grapes = 2500 g. From scale 3: bunch of bananas + 900 g balances the grapes, so bananas = 2500 − 900 = 1600 g. Two bunches = 1600 × 2 = 3200 g = 3 kg 200 g.",
   "hints": [
    "First find the oil's mass: 2 kg + 500 g.",
    "Grapes = oil; bananas = grapes − 900 g; then double it."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q38",
   "image_needed": true,
   "image_options": false,
   "image_file": "q38.png",
   "image_page": 21,
   "image_bbox": [
    0.2,
    0.14,
    0.85,
    0.52
   ],
   "notes": "Three balance scales: grapes=oil; 500g+2kg=oil; bananas+900g=grapes. Two blanks: 3 (kg) and 200 (g). Key: 3 kg 200 g."
  },
  {
   "n": 39,
   "type_id": 2,
   "question": "There were some passengers in a bus. The bus stopped at Bus Stop Q first, followed by Bus Stop R. At Bus Stop Q, 9 passengers alighted and 15 passengers boarded. At Bus Stop R, half of the passengers alighted and 23 passengers were left on the bus. How many passengers were on the bus at first?",
   "answer0": "40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Work backwards. At R half remained = 23, so before R there were 23 × 2 = 46. At Q: +15 then − net... reverse: before R is after Q = 46. At Q, 9 alighted and 15 boarded, net change +6. So before Q = 46 − 15 + 9 = 40. At first there were 40 passengers.",
   "hints": [
    "Work backwards: 23 left is half, so 46 before Bus Stop R.",
    "Reverse the Q changes: subtract the 15 who boarded, add back the 9 who alighted."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q39",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: 40."
  },
  {
   "n": 40,
   "type_id": 2,
   "question": "A magazine cost $4. It cost $1 less than a coin pouch. Cindy bought 3 such magazines and gave the cashier $50.<br>(a) How much did a coin pouch cost?<br>(b) What is the greatest number of coin pouches that she can buy with the remaining amount of money?",
   "answer0": "$5",
   "answer1": "7",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "(a) Magazine $4 is $1 less than a coin pouch, so coin pouch = 4 + 1 = $5. (b) 3 magazines cost 3 × 4 = $12; remaining = 50 − 12 = $38. $38 ÷ $5 = 7 R 3, so 7 coin pouches.",
   "hints": [
    "(a) Coin pouch = magazine price + $1.",
    "(b) Subtract the cost of 3 magazines from $50, then divide the remainder by $5."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q40",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Two-part question. Blank0 = (a) $5, blank1 = (b) 7. Key: (a) $5, (b) 7."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "Siti had some pears. When she packed them in bags of 6, she had 2 pears left. When she packed them in bags of 7, she was short of 3 pears. What was the smallest possible number of pears that Siti had?",
   "answer0": "32",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 115,
   "difficulty_id": 3,
   "explanation": "Number leaves remainder 2 when divided by 6: 2, 8, 14, 20, 26, 32... Short of 3 when packed in 7 means remainder 4 (7 − 3): 4, 11, 18, 25, 32... The smallest common value is 32.",
   "hints": [
    "List numbers giving remainder 2 with bags of 6: 8, 14, 20, 26, 32...",
    "\"Short of 3\" with bags of 7 means remainder 4; find the smallest match."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Key: 32."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "4 identical glasses can hold as much water as a bottle. 5 such bottles can hold as much water as a jug. The capacity of a jug is 950 ml less than a kettle. The capacity of a kettle is 2 ℓ 50 ml.<br>(a) What is the capacity of a jug?<br>(b) What is the capacity of a glass?",
   "answer0": "1100 ml",
   "answer1": "55 ml",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 87,
   "difficulty_id": 3,
   "explanation": "(a) Kettle = 2 ℓ 50 ml = 2050 ml. Jug = 2050 − 950 = 1100 ml. (b) Jug = 5 bottles = 1100 ml, so 1 bottle = 1100 ÷ 5 = 220 ml. 1 bottle = 4 glasses, so 1 glass = 220 ÷ 4 = 55 ml.",
   "hints": [
    "(a) Jug = kettle (2050 ml) − 950 ml.",
    "(b) Divide the jug by 5 for a bottle, then by 4 for a glass."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Two-part question. Blank0 = (a) 1100 ml, blank1 = (b) 55 ml. Key: (a) 1100 ml, (b) 55 ml."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "There were twice as many girls as boys at a camp at first. After half of the girls and 102 boys went home, there were 4 times as many girls as boys left.<br>(a) How many more girls than boys were there at first?<br>(b) Each mini bus can carry 8 passengers. What was the least number of mini buses needed to bring the 102 boys home?",
   "answer0": "136",
   "answer1": "13",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "(a) Let boys = B, girls = 2B at first. After: girls = B (half left), boys = B − 102. Given girls = 4 × boys left: B = 4(B − 102), B = 4B − 408, 3B = 408, B = 136. Girls at first = 272, boys = 136; more girls than boys = 272 − 136 = 136. (Key states 102 ÷ 3 = 34, 34 × 4 = 136 for part a working, with answer 136; the answer key prints a = 136.) (b) 102 ÷ 8 = 12 R 6, so 12 + 1 = 13 mini buses.",
   "hints": [
    "(a) Let boys = 1 unit, girls = 2 units; set up the after-camp ratio.",
    "(b) Divide 102 by 8 and round up for the leftover passengers."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Two-part. Answer key working: (a) 102÷3=34, 34×4=136 -> 136 more girls than boys; (b) 102÷8=12 R6 -> 13 buses. Blank0=(a) 136, blank1=(b) 13."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "At a shop the price of a pen is $2. For every 4 pens bought, the shop gives away 1 pen free.<br>(a) Sarah bought 3 pens. How much did she pay for it?<br>(b) Rahmat spent $36 buying pens. How many pens did he get altogether?",
   "answer0": "$6",
   "answer1": "22",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "(a) 3 pens × $2 = $6 (fewer than 4, so no free pen). (b) $36 ÷ $2 = 18... actually with $36 he buys 36 ÷ 2 = 18 paid pens; per key: 20 pens cost $32 leaving $4 for 2 more paid pens. Following the key: 20 pens → $32 (16 bought + 4 free); $36 − $32 = $4; $4 ÷ $2 = 2 more pens; total = 20 + 2 = 22 pens.",
   "hints": [
    "(a) 3 is fewer than 4, so just 3 × $2.",
    "(b) Count free pens: every 4 bought gives 1 free; work out how many sets $36 buys."
   ],
   "source": "Raffles 2023 P4 Weighted Assessment 2 Q44",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "image_page": null,
   "image_bbox": null,
   "notes": "Pen poster '1 for $2, Buy 4 get 1 free' (decorative). Two-part. Blank0=(a) $6, blank1=(b) 22. Key: (a) $6, (b) 22."
  }
 ]
}