{
  "paper": {
    "school": "Raffles Girls' Primary School",
    "year": 2024,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Raffles 2024 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In triangle ABC, if the base is AB, the height is ____________.",
      "answer0": "CD",
      "answer1": "AE",
      "answer2": "AC",
      "answer3": "CB",
      "correct_answer": 0,
      "skill_id": 186,
      "difficulty_id": 1,
      "explanation": "The height of a triangle is the perpendicular distance from a vertex to the line containing its base. With base AB, the height is the perpendicular drawn from C to AB, which is CD (CD is perpendicular to AB at D). Answer: CD.",
      "hints": ["The height must be perpendicular to the chosen base.", "Look for the line from a vertex that meets AB at a right angle."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "q1.png",
      "image_page": 3,
      "image_bbox": [0.18, 0.27, 0.78, 0.43],
      "notes": "Letter answer (line segment name) -> MCQ. Answer key: CD. Triangle ABC with C extended to base line; AE and CD are the dashed perpendicular heights shown, but for base AB the height is CD."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "What is the missing number in the box?<br>\\(16 : 36 = 28 : [?]\\)",
      "answer0": "63",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 181,
      "difficulty_id": 1,
      "explanation": "Find the scale factor from the first term: \\(28 \\div 16 = 1.75\\). Apply it to the second term: \\(36 \\times 1.75 = 63\\). Answer: 63.",
      "hints": ["Find how many times 28 is of 16.", "Multiply 36 by the same factor."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Equivalent ratios; missing term is an integer -> FIB."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "In triangle PQR, PQ = 13 cm, PR = 15 cm, QS = 4 cm and QR = 6 cm. Find the area of triangle PQR.<br>Ans: [?] cm²",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "QS is the height to base PR (QS is perpendicular to PR). Area = \\(\\dfrac{1}{2} \\times \\text{base} \\times \\text{height} = \\dfrac{1}{2} \\times 15 \\times 4 = 30\\) cm². Answer: 30 cm².",
      "hints": ["Use base PR with the perpendicular height QS.", "Area = \\(\\dfrac{1}{2} \\times 15 \\times 4\\)."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 4,
      "image_bbox": [0.16, 0.17, 0.60, 0.30],
      "notes": "Area of triangle; integer answer -> FIB. The 13 cm and 6 cm are distractors."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "In a school, the ratio of the number of Chinese pupils to Indian pupils is 7 : 2. There are 560 more Chinese pupils than Indian pupils. How many Indian pupils are there in the school?<br>Ans: [?]",
      "answer0": "224",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 182,
      "difficulty_id": 2,
      "explanation": "Difference in units = \\(7 - 2 = 5\\) units = 560 pupils, so 1 unit = \\(560 \\div 5 = 112\\). Indian pupils = 2 units = \\(112 \\times 2 = 224\\). Answer: 224.",
      "hints": ["The difference of 560 corresponds to (7 - 2) units.", "Find 1 unit, then multiply by 2 for Indian pupils."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Ratio word problem; integer answer -> FIB."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Find the area of the shaded part.<br>Ans: [?] cm²",
      "answer0": "6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "The shaded triangle on the 1 cm grid has base 3 cm and height 4 cm. Area = \\(\\dfrac{1}{2} \\times 3 \\times 4 = 6\\) cm². Answer: 6 cm².",
      "hints": ["Count the grid squares for the base and height of the triangle (each square is 1 cm).", "Area = \\(\\dfrac{1}{2} \\times \\text{base} \\times \\text{height}\\)."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 5,
      "image_bbox": [0.31, 0.40, 0.65, 0.62],
      "notes": "Shaded triangle on 1 cm grid; base 3 cm, height 4 cm -> area 6 cm². Integer -> FIB. Crop must show the full grid with shaded triangle."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Penny made some ice cream following this recipe.<br>Milk - 200 mℓ<br>Whipping Cream - 500 mℓ<br>Maple Syrup - 100 mℓ<br>Find the ratio of the quantity of milk to the quantity of whipping cream to the quantity of maple syrup needed in the recipe. Express the ratio in its simplest form.",
      "answer0": "2 : 5 : 1",
      "answer1": "1 : 5 : 2",
      "answer2": "4 : 10 : 1",
      "answer3": "2 : 5 : 2",
      "correct_answer": 0,
      "skill_id": 179,
      "difficulty_id": 1,
      "explanation": "Milk : Whipping Cream : Maple Syrup = 200 : 500 : 100. Divide each term by 100: 2 : 5 : 1. Answer: 2 : 5 : 1.",
      "hints": ["Write the three quantities as a ratio 200 : 500 : 100.", "Divide every term by the common factor 100."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Q6(a). Ratio answer -> MCQ. The recipe values are transcribed into the stem so no image is needed."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Penny made some ice cream following this recipe.<br>Milk - 200 mℓ<br>Whipping Cream - 500 mℓ<br>Maple Syrup - 100 mℓ<br>Penny used 150 mℓ of maple syrup. How much whipping cream did she use?<br>Ans: [?] mℓ",
      "answer0": "750",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Whipping cream : maple syrup = 500 : 100 = 5 : 1. Maple syrup used = 150 mℓ, so whipping cream = \\(5 \\times 150 = 750\\) mℓ. Answer: 750 mℓ.",
      "hints": ["The ratio of whipping cream to maple syrup is 5 : 1.", "Multiply 150 by 5."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Q6(b) split out. Integer answer -> FIB."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "In the figure, AE = ED. Find the area of the shaded part.<br>Ans: [?] cm²",
      "answer0": "1050",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "The big triangle ABC has base BC = 50 cm and height (D to A) = 84 cm, area = \\(\\dfrac{1}{2} \\times 50 \\times 84 = 2100\\) cm². E is the midpoint of AD, so DE = EA = \\(84 \\div 2 = 42\\) cm. The shaded part is the two triangles meeting at E; together they form a triangle with base BC = 50 cm and height DE = 42 cm: \\(\\dfrac{1}{2} \\times 50 \\times 42 = 1050\\) cm². Answer: 1050 cm².",
      "hints": ["Find the full height AD = 84 cm; since AE = ED, each is 42 cm.", "Shaded area = \\(\\dfrac{1}{2} \\times 50 \\times 42\\)."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 7,
      "image_bbox": [0.18, 0.12, 0.52, 0.40],
      "notes": "This is paper Q7 (V-shaped shaded figure, B-D-C top, A bottom, E midpoint). Answer key 1050 cm². Integer -> FIB. NOTE: paper question numbering -> our n is sequential; this corresponds to printed Q7."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Adam, Bill and Carlos had marbles in the ratio of 3 : 10 : 8. After Adam received a total of 180 marbles from Bill and Carlos, the three boys had the same number of marbles. How many marbles did Bill give to Adam?<br>Ans: [?]",
      "answer0": "135",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Total units = \\(3 + 10 + 8 = 21\\). Equal share = \\(21 \\div 3 = 7\\) units each. Bill must give away \\(10 - 7 = 3\\) units and Carlos gives \\(8 - 7 = 1\\) unit, so the 180 marbles Adam received = \\(3 + 1 = 4\\) units. 1 unit = \\(180 \\div 4 = 45\\). Bill gave Adam 3 units = \\(45 \\times 3 = 135\\). Answer: 135.",
      "hints": ["After redistribution each boy has 7 units (21 ÷ 3).", "Bill gives 3 units and Carlos 1 unit; their total 4 units = 180 marbles."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q8. Integer answer -> FIB."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Mr Yeo had 84 mangoes and some pineapples at his fruit stall. The ratio of the number of mangoes to the number of pineapples was 4 : 5. He sold 35 mangoes and 35 pineapples. What was the ratio of the number of mangoes to the number of pineapples in the end?",
      "answer0": "7 : 10",
      "answer1": "49 : 70",
      "answer2": "4 : 5",
      "answer3": "7 : 9",
      "correct_answer": 0,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Mangoes : pineapples = 4 : 5, with 84 mangoes (4 units) so 1 unit = \\(84 \\div 4 = 21\\); pineapples = \\(21 \\times 5 = 105\\). After selling: mangoes = \\(84 - 35 = 49\\), pineapples = \\(105 - 35 = 70\\). Ratio = 49 : 70 = 7 : 10. Answer: 7 : 10.",
      "hints": ["Find the number of pineapples first using the 4 : 5 ratio and 84 mangoes.", "Subtract 35 from each, then simplify the new ratio."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q9. Ratio answer -> MCQ. Simplest form 7 : 10."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "A figure is formed with a small heart and a big heart overlapping at the shaded part. The ratio of the area of the small heart to the shaded area of the figure to the unshaded area of the figure is 15 : 7 : 27. The shaded area is 735 cm². Find the area of the big heart.<br>Ans: [?] cm²",
      "answer0": "2730",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Shaded area = 7 units = 735 cm², so 1 unit = \\(735 \\div 7 = 105\\) cm². The big heart = unshaded part (27 units) less the small heart's outside? Per the key, big heart = unshaded (27u) minus small-heart-non-overlap (15u)... actually big heart = 19u + 7u = 26 units = \\(105 \\times 26 = 2730\\) cm². Answer: 2730 cm².",
      "hints": ["1 unit = 735 ÷ 7 = 105 cm².", "The big heart is made of 26 units (per the key: 19u unshaded portion + 7u shaded)."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 9,
      "image_bbox": [0.30, 0.27, 0.62, 0.43],
      "notes": "Printed Q10. Answer key: 2730 cm² (big heart = 26 units; 1u = 105). Integer -> FIB."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "The perimeter of rectangle PQRS is 38 cm. PY = QX = SY. SR = 11 cm. Find the length of QR.<br>Ans: [?] cm",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 136,
      "difficulty_id": 2,
      "explanation": "Perimeter = 2(length + breadth) = 38 cm. The two longer sides PQ and SR total \\(11 \\times 2 = 22\\) cm, so the two shorter sides total \\(38 - 22 = 16\\) cm. QR = \\(16 \\div 2 = 8\\) cm. Answer: 8 cm.",
      "hints": ["PQ = SR = 11 cm; their total is 22 cm.", "The remaining perimeter (38 - 22) is shared by PS and QR."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 10,
      "image_bbox": [0.16, 0.11, 0.70, 0.32],
      "notes": "Printed Q11(a). SR = 11 cm read from figure. Integer answer -> FIB."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The perimeter of rectangle PQRS is 38 cm. PY = QX = SY. SR = 11 cm and QR = 8 cm. Find the area of triangle RXY.<br>Ans: [?] cm²",
      "answer0": "36",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Area of rectangle PQRS = \\(11 \\times 8 = 88\\) cm². PY = YS = XQ = \\(8 \\div 2 = 4\\) cm. Area YSR = \\(\\dfrac{1}{2} \\times 4 \\times 11 = 22\\); Area XQR = \\(\\dfrac{1}{2} \\times 4 \\times 8 = 16\\); Area PXY = \\(\\dfrac{1}{2} \\times 4 \\times (11 - 4) = 14\\). Area RXY = \\(88 - 22 - 16 - 14 = 36\\) cm². Answer: 36 cm².",
      "hints": ["Find the rectangle's area (11 × 8) and split PS into PY = YS = 4 cm, XQ = 4 cm.", "Subtract triangles YSR, XQR and PXY from the rectangle."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 10,
      "image_bbox": [0.16, 0.11, 0.70, 0.32],
      "notes": "Printed Q11(b). Uses QR = 8 cm from part (a). Integer answer -> FIB."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "The figure is made up of rectangle ABCD and triangle EFG. The area of the unshaded part of the figure is \\(\\dfrac{3}{5}\\) of the area of triangle EFG. The total area of the shaded parts is 96 cm². DC = 6 cm, the height of triangle EFG (FG) = 12 cm, and the base EH = 4 cm. Find the length of BC.<br>Ans: [?] cm",
      "answer0": "18",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Area of triangle EFG = \\(\\dfrac{1}{2} \\times (6 + 4) \\times 12 = 60\\) cm². Unshaded part = \\(60 \\times \\dfrac{3}{5} = 36\\) cm², so the shaded part of EFG = \\(60 - 36 = 24\\) cm². Area of rectangle ABCD = (96 - 24) + 36 = 108 cm². BC = \\(108 \\div 6 = 18\\) cm. Answer: 18 cm.",
      "hints": ["Area of triangle EFG = \\(\\dfrac{1}{2} \\times (6 + 4) \\times 12 = 60\\) cm².", "Find the rectangle's area, then divide by its width DC = 6 cm."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q14.png",
      "image_page": 11,
      "image_bbox": [0.24, 0.18, 0.64, 0.42],
      "notes": "Printed Q12. The triangle EFG base spans 6 cm (DC) + 4 cm (E left of D) = 10 cm; height 12 cm. Integer answer -> FIB."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "There were green, red and blue pens in the school bookshop. The number of green pens to the number of red pens was in the ratio of 8 : 5 at first. Then, \\(\\dfrac{1}{4}\\) of the green pens and \\(\\dfrac{1}{2}\\) of the blue pens were sold, but none of the red pens were sold. The number of blue pens left was twice the sum of red and green pens left. A total of 360 pens were sold. What was the ratio of the number of green pens left to the number of red pens left in the end?",
      "answer0": "6 : 5",
      "answer1": "8 : 5",
      "answer2": "2 : 5",
      "answer3": "3 : 5",
      "correct_answer": 0,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Green : red = 8 : 5. \\(\\dfrac{1}{4}\\) of the green were sold, so green left = \\(8 \\times \\dfrac{3}{4} = 6\\) units; that is \\(8 - 2 = 6\\) units. Red left = 5 units (none sold). Ratio of green left to red left = 6 : 5. Answer: 6 : 5.",
      "hints": ["Green sold = \\(\\dfrac{1}{4}\\) of 8 units = 2 units, so green left = 6 units.", "Red is unchanged at 5 units; form the ratio 6 : 5."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q13(a). Ratio answer -> MCQ. Key: 6 : 5."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "There were green, red and blue pens in the school bookshop. The number of green pens to the number of red pens was in the ratio of 8 : 5 at first. Then, \\(\\dfrac{1}{4}\\) of the green pens and \\(\\dfrac{1}{2}\\) of the blue pens were sold, but none of the red pens were sold. The number of blue pens left was twice the sum of red and green pens left. A total of 360 pens were sold. How many blue pens were there at first?<br>Ans: [?]",
      "answer0": "660",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Green left = 6 units, red left = 5 units, so green + red left = 11 units. Blue left = twice that = 22 units, which is \\(\\dfrac{1}{2}\\) of the blue pens, so blue at first = 44 units. Pens sold = \\(\\dfrac{1}{4}\\) of green (2 units) + \\(\\dfrac{1}{2}\\) of blue (22 units) = 24 units = 360 pens. 1 unit = \\(360 \\div 24 = 15\\). Blue at first = \\(15 \\times 44 = 660\\). Answer: 660.",
      "hints": ["Blue left = 2 × (green left + red left) = 2 × 11 = 22 units, so blue at first = 44 units.", "Total sold = 2 units (green) + 22 units (blue) = 24 units = 360 pens."],
      "source": "Raffles 2024 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "image_page": null,
      "image_bbox": null,
      "notes": "Printed Q13(b). Integer answer -> FIB. Key: 660."
    }
  ]
}