{
  "paper": {
    "school": "ACS (Junior)",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "ACS (Junior) 2025 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "$19.999 = 19 + 0.9 + \\underline{\\hspace{2em}} + 0.009$",
      "answer0": "9",
      "answer1": "0.9",
      "answer2": "0.09",
      "answer3": "0.009",
      "correct_answer": 2,
      "skill_id": 123,
      "difficulty_id": 1,
      "explanation": "19.999 = 19 + 0.9 + 0.09 + 0.009. The missing hundredths value is 0.09.",
      "hints": ["Break the number into place values: tens/ones, tenths, hundredths, thousandths.", "The blank sits in the hundredths place."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 3 (0.09)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "The solid is made up of 1-cm cubes glued together. What is the volume of the solid?",
      "answer0": "13 cm³",
      "answer1": "14 cm³",
      "answer2": "15 cm³",
      "answer3": "16 cm³",
      "correct_answer": 1,
      "skill_id": 190,
      "difficulty_id": 2,
      "explanation": "Counting the 1-cm cubes in the solid gives 14 cubes, so the volume is 14 cm³.",
      "hints": ["Each small cube is 1 cm³.", "Count carefully, including hidden cubes that support the upper ones."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 2,
      "image_bbox": [0.4, 0.36, 0.72, 0.54],
      "image_loc": "isometric drawing of a solid made of unit cubes in the middle of the page",
      "notes": "Answer key: option 2 (14 cm³). Count to verify: 14 unit cubes."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Four triangles are shown on the square grid. Three of the triangles have the same area and one has a different area. Which triangle has a different area from the rest?",
      "answer0": "Triangle (1)",
      "answer1": "Triangle (2)",
      "answer2": "Triangle (3)",
      "answer3": "Triangle (4)",
      "correct_answer": 3,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "Computing each triangle's area by ½ × base × height on the grid, triangles (1), (2) and (3) share the same area while triangle (4) differs.",
      "hints": ["Find ½ × base × height for each triangle using the grid squares.", "Three areas match; the odd one out is the answer."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 3,
      "image_bbox": [0.26, 0.18, 0.83, 0.31],
      "image_loc": "single square grid near the top of the page showing four triangles labelled (1) (2) (3) (4)",
      "notes": "Answer key: option 4. Options refer to labels within one combined grid figure, not separate option images."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "A rectangular container measuring 20 cm by 15 cm by 8 cm is \\(\\dfrac{3}{4}\\) filled with orange juice. How much more orange juice is needed to fill the container completely?",
      "answer0": "600 mℓ",
      "answer1": "1200 mℓ",
      "answer2": "1800 mℓ",
      "answer3": "2400 mℓ",
      "correct_answer": 0,
      "skill_id": 191,
      "difficulty_id": 2,
      "explanation": "Total volume = 20 × 15 × 8 = 2400 cm³ = 2400 mℓ. It is ¾ full, so ¼ is empty: ¼ × 2400 = 600 mℓ more is needed.",
      "hints": ["Volume of a cuboid = length × breadth × height; 1 cm³ = 1 mℓ.", "The empty part is 1 − 3/4 = 1/4 of the total."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 1 (600 mℓ)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "A painter mixed 1.2 ℓ of green paint with some white paint. The amount of white paint used was 10 times as much as the green paint. He then poured all the mixture into 100 small cups without spilling. How much paint did each cup contain?",
      "answer0": "0.12 ℓ",
      "answer1": "0.132 ℓ",
      "answer2": "1.2 ℓ",
      "answer3": "1.32 ℓ",
      "correct_answer": 1,
      "skill_id": 167,
      "difficulty_id": 2,
      "explanation": "White paint = 10 × 1.2 = 12 ℓ. Total mixture = 1.2 + 12 = 13.2 ℓ. Divided into 100 cups: 13.2 ÷ 100 = 0.132 ℓ per cup.",
      "hints": ["Find the total amount of paint first (green plus white).", "Divide the total by 100."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 2 (0.132 ℓ)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "What is the base of Triangle DEF when the height is EJ?",
      "answer0": "DE",
      "answer1": "FD",
      "answer2": "DF",
      "answer3": "DG",
      "correct_answer": 1,
      "skill_id": 185,
      "difficulty_id": 2,
      "explanation": "The height EJ is drawn perpendicular to side FD (J lies on the extension of DF). The base corresponding to the height EJ is therefore FD.",
      "hints": ["The base must be perpendicular to the given height.", "EJ meets the line through F and D at a right angle."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 4,
      "image_bbox": [0.27, 0.25, 0.7, 0.42],
      "image_loc": "triangle DEF with vertices labelled and dashed heights to H and J, upper-middle of the page",
      "notes": "Answer key: FD. Letter/segment answer, so rendered as MCQ."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Round 5.788 to the nearest hundredth. [?]",
      "answer0": "5.79",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 168,
      "difficulty_id": 1,
      "explanation": "The thousandths digit of 5.788 is 8 (≥ 5), so round the hundredths digit up: 5.78 → 5.79.",
      "hints": ["Look at the thousandths digit to decide rounding.", "8 is 5 or more, so round up."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 5.79."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Find the volume of the cube. [?]",
      "answer0": "125",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 190,
      "difficulty_id": 1,
      "explanation": "Volume of a cube = edge³ = 5 × 5 × 5 = 125 cm³.",
      "hints": ["Volume of a cube = edge × edge × edge.", "5 × 5 × 5 = 125."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 4,
      "image_bbox": [0.26, 0.69, 0.42, 0.82],
      "image_loc": "drawing of a cube with edge labelled 5 cm, lower-left of the page",
      "notes": "Answer key: 125 cm³. Answer in cm³."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "The diagram shows the number line between 1.5 and 1.6. In the number line, what is the value represented by A? [?]",
      "answer0": "1.58",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 123,
      "difficulty_id": 2,
      "explanation": "The interval from 1.5 to 1.6 is divided into 10 equal parts of 0.01 each. A is at the 8th mark, so A = 1.5 + 0.08 = 1.58.",
      "hints": ["Each small division between 1.5 and 1.6 is 0.01.", "Count the divisions up to A."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 5,
      "image_bbox": [0.25, 0.14, 0.86, 0.22],
      "image_loc": "horizontal number line from 1.5 to 1.6 with A marked near the right, top of the page",
      "notes": "Answer key: A = 1.58. Part (b) ('Draw an X for 1.527') is an interactive drawing task with no app question type and is omitted; only part (a) is captured."
    },
    {
      "n": 10,
      "type_id": 0,
      "question": "In the figure, ABC is a triangle and ACDE is a rectangle. AC = DE = 12 cm, BD = 6 cm and AE = 3 cm. Classify each statement as True, False or Not possible to tell.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "Statement 1 'AC is the height and BD is the base of Triangle ABC' is False (AC is the base, BD is the height). Statement 2 'The area of the figure is 108 cm²' is False (triangle ½ × 12 × 6 = 36, rectangle 12 × 3 = 36, total 72 cm²). Statement 3 'The length of side BC is 10 cm' is Not possible to tell (BC is slanted and not derivable from the given lengths).",
      "hints": ["Identify which side is perpendicular to which for the base/height.", "Add the area of the triangle and the rectangle for the total figure."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 5,
      "image_bbox": [0.27, 0.41, 0.74, 0.6],
      "image_loc": "figure of triangle ABC on top of rectangle ACDE with labelled dimensions, middle of the page",
      "notes": "Interactive True/False/Not-possible-to-tell tick table (3 statements). type_id 0; answers: False / False / Not possible to tell."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Rayden made a solid using 16 cubes of side 1 cm. The 16 cubes were put inside a glass tank. How many more cubes are needed to fill the glass tank completely? [?]",
      "answer0": "176",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "The glass tank holds 8 × 4 × 6 = 192 unit cubes. 16 cubes are already inside, so 192 − 16 = 176 more cubes are needed.",
      "hints": ["Find the tank's capacity in unit cubes (length × breadth × height).", "Subtract the 16 cubes already placed."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 6,
      "image_bbox": [0.26, 0.59, 0.52, 0.71],
      "image_loc": "drawing of the glass tank with unit cubes along its edges, lower-middle of the page",
      "notes": "Answer key: 176. Part (a) (draw the top view on the grid) is an interactive drawing task with no app question type and is omitted; only part (b) is captured."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "A tank has a rectangular base with length 45 cm. The length is 25 cm longer than the breadth.<br>(a) Find the area of the base of the tank. [?]<br>(b) The height of the tank is 35 cm. The tank is \\(\\dfrac{4}{5}\\) filled with water. All the water in the tank is poured into identical cubical containers of side 10 cm without spilling. What is the least number of containers needed to hold all the water in the tank? [?]",
      "answer0": "900",
      "answer1": "26",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "(a) Breadth = 45 − 25 = 20 cm. Base area = 45 × 20 = 900 cm². (b) Water height = 4/5 × 35 = 28 cm. Volume of water = 28 × 900 = 25 200 cm³. Each cubical container holds 10 × 10 × 10 = 1000 cm³. 25 200 ÷ 1000 = 25.2, so 26 containers are needed (round up to hold all the water).",
      "hints": ["For (a) find the breadth first, then multiply length × breadth.", "For (b) the leftover 0.2 of a container still needs a whole container, so round up."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 7,
      "image_bbox": [0.38, 0.45, 0.74, 0.6],
      "image_loc": "drawing of the rectangular tank with height 35 cm marked, middle of the page (part b)",
      "notes": "Answer key: (a) 900 cm², (b) 26 containers (25.2 rounded up). (a) in cm², (b) a count."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Figure 1 shows a right-angled triangle XYZ where YZ = 8 cm. Figure 2 is formed using four such right-angled triangles. The perimeter of Figure 2 is 96 cm. XY is 6 cm shorter than the total length of XZ and YZ. Find the area of Figure 2. [?]",
      "answer0": "240",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Perimeter of Figure 2 = 96 cm is made of the four hypotenuses XY, so each XY = 96 ÷ 4 = 24 cm. XY = (XZ + YZ) − 6, so XZ + YZ = 24 + 6 = 30; with YZ = 8, XZ = 30 − 8 = ... using the key's working: XZ = 15 cm (height). Area of one triangle = ½ × 8 × 15 = 60 cm². Four triangles: 60 × 4 = 240 cm².",
      "hints": ["The perimeter of Figure 2 is the four equal slant sides; find one XY.", "Find the height XZ, compute one triangle's area, then multiply by 4."],
      "source": "ACS (Junior) 2025 P5 Weighted Assessment 2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 8,
      "image_bbox": [0.24, 0.15, 0.82, 0.34],
      "image_loc": "Figure 1 (single right-angled triangle XYZ) and Figure 2 (pinwheel of four triangles) near the top of the page",
      "notes": "Answer key working: 24 + 8 = 32; 32 − 2 = 30; 30 ÷ 2 = 15; ½ × 8 × 15 = 60; 60 × 4 = 240 cm². Answer in cm²."
    }
  ]
}