{
  "paper": {
    "school": "Anglo-Chinese School (Junior)",
    "year": 2024,
    "level": "P5",
    "label": "Bite-Sized Assessment 2",
    "source_prefix": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "SR is the height of Triangle PQR. What is the base of the triangle?",
      "answer0": "PS",
      "answer1": "PR",
      "answer2": "QP",
      "answer3": "QU",
      "correct_answer": 2,
      "skill_id": 185,
      "difficulty_id": 1,
      "explanation": "The base of a triangle is the side perpendicular to the marked height. SR is the height and meets the triangle at the side QP (extended), so the corresponding base is QP.",
      "hints": ["The base is the side that the height is perpendicular to.", "Find the side that SR meets at a right angle."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "q1.png",
      "image_page": 3,
      "image_bbox": [0.3, 0.25, 0.72, 0.45],
      "image_loc": "middle of page 3; triangle PQR with dashed height SR and right-angle marks at S and U",
      "notes": "Key: option 3 (QP)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "There are 36 pens, 9 highlighters and 12 rulers in a box. What is the ratio of the number of highlighters to the number of pens to the number of rulers in the box?",
      "answer0": "1 : 4 : 12",
      "answer1": "3 : 12 : 4",
      "answer2": "6 : 3 : 2",
      "answer3": "12 : 3 : 4",
      "correct_answer": 1,
      "skill_id": 180,
      "difficulty_id": 1,
      "explanation": "Highlighters : pens : rulers = 9 : 36 : 12. Divide each by 3: 3 : 12 : 4.",
      "hints": ["Write the ratio in the order asked: highlighters, pens, rulers.", "Divide all three numbers by their common factor 3."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ratio answer so MCQ. Key: option 2 (3 : 12 : 4)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "The solid is made up of unit cubes. How many unit cubes are there?",
      "answer0": "8",
      "answer1": "9",
      "answer2": "10",
      "answer3": "11",
      "correct_answer": 3,
      "skill_id": 188,
      "difficulty_id": 2,
      "explanation": "Counting all the unit cubes in the solid, including those partly hidden behind others, gives a total of 11 cubes.",
      "hints": ["Count layer by layer, including cubes hidden at the back.", "Do not forget cubes stacked behind the visible ones."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 4,
      "image_bbox": [0.26, 0.12, 0.72, 0.38],
      "image_loc": "upper-middle of page 4; isometric drawing of a solid built from unit cubes",
      "notes": "Key: option 4 (11). Count to verify against the figure: 11 unit cubes."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Fiona made a bracelet with 48 blue and pink beads. For every 3 blue beads, she used 5 pink beads. How many more pink beads did she use?",
      "answer0": "12",
      "answer1": "14",
      "answer2": "30",
      "answer3": "32",
      "correct_answer": 0,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Blue : pink = 3 : 5, total 8 units = 48 beads, so 1 unit = 6 beads. Difference = 5 − 3 = 2 units = 2 × 6 = 12 more pink beads.",
      "hints": ["Add the ratio parts (3 + 5 = 8) and find one unit from 48.", "The difference is 2 units (5 − 3)."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (12)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "The cuboid has a square base of length 4 cm. Its height is twice its length. Find the volume of the cuboid.",
      "answer0": "4 cm³",
      "answer1": "32 cm³",
      "answer2": "128 cm³",
      "answer3": "256 cm³",
      "correct_answer": 2,
      "skill_id": 190,
      "difficulty_id": 2,
      "explanation": "Base is a 4 cm by 4 cm square. Height = 2 × 4 = 8 cm. Volume = 4 × 4 × 8 = 128 cm³.",
      "hints": ["The height is twice the base length (2 × 4 = 8 cm).", "Volume = length × breadth × height."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 5,
      "image_bbox": [0.42, 0.21, 0.6, 0.38],
      "image_loc": "upper-middle of page 5; a tall cuboid with '4 cm' marked at the base",
      "notes": "Key: option 3 (128 cm³). Dimensions given in the stem; figure is the cuboid."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "3 : 8 = [?] : 208. What is the missing number?",
      "answer0": "78",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 181,
      "difficulty_id": 1,
      "explanation": "208 ÷ 8 = 26, so each part is multiplied by 26. Missing number = 3 × 26 = 78.",
      "hints": ["Find how many times 8 was multiplied to get 208.", "Multiply 3 by that same factor."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 78."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "ABCD is a rectangle. AE = 6 cm, BC = 15 cm and DC = 24 cm. Find the area of the shaded triangle.<br>[?]",
      "answer0": "108",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "The shaded triangle has base DC = 24 cm and its height is ED = AD − AE = 15 − 6 = 9 cm. Area = \\(\\dfrac{1}{2} \\times 24 \\times 9 = 108\\) cm².",
      "hints": ["The triangle's base is the bottom side DC = 24 cm.", "Its height is the rectangle side minus 6 cm (15 − 6 = 9 cm)."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 6,
      "image_bbox": [0.2, 0.48, 0.6, 0.68],
      "image_loc": "middle of page 6; rectangle ABCD with shaded triangle, 6 cm (AE), 15 cm (BC), 24 cm (DC) marked",
      "notes": "Key: 108 cm². Answer in cm²."
    },
    {
      "n": 8,
      "type_id": 0,
      "question": "Yasmin stacked 6 cubes and glued them together to form the solid. Draw the top view of the solid on the square grid.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 188,
      "difficulty_id": 2,
      "explanation": "Looking straight down on the solid, the top view is the footprint of the cubes: an L-shaped arrangement of unit squares (two squares in one row and the remaining squares forming the bend), as marked shaded in the answer key.",
      "hints": ["Imagine looking straight down from above the solid.", "Shade the grid squares that any cube occupies when seen from the top."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 7,
      "image_bbox": [0.18, 0.14, 0.62, 0.45],
      "image_loc": "upper part of page 7; isometric drawing of the 6-cube solid with Top/Front/Side View arrows",
      "notes": "Interactive draw-the-top-view task (type_id 0, skipped on insert). Answer: an L-shaped top view as shaded in the key."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "A cuboid had its length increased three times, its breadth increased four times and its height increased two times. How many times has the volume of this cuboid increased?<br>[?]",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 2,
      "explanation": "Volume is length × breadth × height. Multiplying each dimension: 3 × 4 × 2 = 24, so the volume increased 24 times.",
      "hints": ["Volume depends on all three dimensions multiplied together.", "Multiply the three scale factors: 3 × 4 × 2."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 24 times."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Ken was given a piece of paper in the shape of a right-angled triangle. Two of its sides are equal in length. He then folded the triangular paper along the dotted line. After folding, the base shows 10 cm and 4 cm. Find the area of the paper before folding.<br>[?]",
      "answer0": "162",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "After folding, the part folded over reduces the base by 4 cm twice... per the key: one full side of the original right-angled isosceles triangle = 10 + 8 = 18 cm (the 4 cm flap doubles to 8 cm). The triangle is right-angled with the two equal sides = 18 cm, so area = \\(\\dfrac{1}{2} \\times 18 \\times 18 = 162\\) cm².",
      "hints": ["The folded flap of 4 cm covers an 8 cm portion of the base.", "The original triangle has two equal sides of 18 cm; use area = 1/2 × base × height."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 8,
      "image_bbox": [0.14, 0.43, 0.82, 0.68],
      "image_loc": "middle of page 8; before/after fold diagrams of a right-angled triangle, 10 cm and 4 cm marked on the after-folding base",
      "notes": "Key: 162 cm² (working: 1 side = 10 + 8 = 18 cm; Area = 1/2 × 18 × 18 = 162). Answer in cm²."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Ray and Ahmad shared a sum of $6349 in the ratio 5 : 2. How much more did Ray have than Ahmad?<br>[?]",
      "answer0": "2721",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Total units = 5 + 2 = 7. 1 unit = 6349 ÷ 7 = $907. Difference = 5 − 2 = 3 units = 3 × 907 = $2721.",
      "hints": ["Add the ratio parts and divide $6349 by 7 to find one unit.", "Ray has 3 units more than Ahmad."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $2721 more. Answer in dollars."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "ABCD is a square. AEGD and EBCG are rectangles and EBF and JHD are triangles. AB = 24 cm and FC = 18 cm. AE = EB = JD = GC and DH = HG = BF. Find the total area of the shaded parts.<br>[?]",
      "answer0": "288",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "AB = 24 cm so the square is 24 by 24. From the key: area of triangle EBF = \\(\\dfrac{1}{2} \\times 6 \\times 12 = 36\\) cm²; area of triangle JOH = \\(\\dfrac{1}{2} \\times 12 \\times 6 = 36\\) cm²; area of triangle EGH = \\(\\dfrac{1}{2} \\times 24 \\times 6 = 72\\) cm². The shaded parts together make exactly half of the figure: \\(\\dfrac{1}{2} \\times 12 \\times 24 = 288\\) cm².",
      "hints": ["The square is 24 cm by 24 cm.", "Combine the shaded triangles; they total half the figure's area."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 10,
      "image_bbox": [0.16, 0.18, 0.6, 0.48],
      "image_loc": "left-middle of page 10; square ABCD with points E, F, G, H, J and shaded triangular regions; 24 cm and 18 cm marked",
      "notes": "Key: 288 cm². Answer in cm². AB = 24 cm and FC = 18 cm read from the corrected figure labels."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The ratio of the length to the breadth to the height of a cuboid is 5 : 2 : 4. The height is 12 cm longer than the breadth.<br>(a) Find the length of the cuboid. [?]<br>(b) Find the volume of the cuboid. [?]",
      "answer0": "30",
      "answer1": "8640",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 3,
      "explanation": "(a) Height − breadth = 4 − 2 = 2 units = 12 cm, so 1 unit = 6 cm. Length = 5 units = 5 × 6 = 30 cm. (b) Breadth = 2 units = 12 cm, height = 4 units = 24 cm. Volume = 30 × 12 × 24 = 8640 cm³.",
      "hints": ["The 12 cm difference equals the difference in units between height and breadth (4 − 2 = 2 units).", "Find one unit, then use length × breadth × height for the volume."],
      "source": "Anglo-Chinese School (Junior) 2024 P5 Bite-Sized Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 30 cm, (b) 8640 cm³. Two blanks in order: length then volume. Answers in cm and cm³."
    }
  ]
}