{
  "paper": {
    "school": "Tao Nan",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Tao Nan 2025 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Mr Samy has a rectangular plot of land measuring 22 m by 10 m. He wants to give all the land to his 3 sons. The eldest son will get the largest possible square piece of land. The second son will get a plot of land that is 4 times the area of the youngest son's land. Find the area of land each son receives, in m².<br>Eldest son: [?] m²<br>Second son: [?] m²<br>Youngest son: [?] m²",
      "answer0": "100",
      "answer1": "96",
      "answer2": "24",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "The largest square that fits in a 22 m by 10 m plot has side equal to the shorter side, 10 m, so the eldest son's land = \\(10 \\times 10 = 100\\) m². The land left over is \\(22 - 10 = 12\\) m by 10 m = \\(120\\) m². This is shared so the second son's land is 4 times the youngest son's: that is 4 units + 1 unit = 5 units = 120 m², so 1 unit = \\(120 \\div 5 = 24\\) m². Youngest son = 24 m² and second son = \\(4 \\times 24 = 96\\) m². Answer: eldest 100 m², second 96 m², youngest 24 m².",
      "hints": ["The largest square has a side equal to the shorter side of the rectangle (10 m).", "The remaining 12 m by 10 m = 120 m² splits into 5 equal units (4 for the second son, 1 for the youngest)."],
      "source": "Tao Nan 2025 P5 Weighted Assessment 2 Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "q1.png",
      "image_page": 1,
      "image_bbox": [0.30, 0.21, 0.70, 0.38],
      "notes": "Task 1 (Area of each plot of land). Open performance task originally asking for 2 methods, but the three areas are definite values -> rendered as a 3-blank FIB (eldest, second, youngest). Answer key: eldest 100 m², second 96 m², youngest 24 m² (largest square 10x10=100; remaining 12x10=120 m² split 4:1 -> 96 and 24). Figure: 22m x 10m rectangular plot top view."
    },
    {
      "n": 2,
      "type_id": 0,
      "question": "Using the area of the plot of land for each son (eldest 100 m², second 96 m², youngest 24 m²), explore and draw 2 possible ways in which the 22 m by 10 m land could be distributed among the 3 sons. For each way, draw the plan in the rectangle provided and label the owner's name and the dimensions of each plot. From your 2 drawings, which one would the youngest son choose? Give a possible reason for his choice.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "This is an open drawing-and-justification task. Each valid plan must partition the 22 m by 10 m plot into a 10 m by 10 m square for the eldest son (100 m²), a region of 96 m² for the second son and a region of 24 m² for the youngest son (for example, within the leftover 12 m by 10 m strip: second son 12 m by 8 m = 96 m² and youngest son 12 m by 2 m = 24 m², or second son 9.6 m by 10 m and youngest 2.4 m by 10 m). The youngest son's preferred drawing depends on the reason given (e.g. the plan giving him a more square or more useful 24 m² plot rather than a long thin strip). There is no single fixed answer; it is graded on a correct partition and a sensible reason.",
      "hints": ["Each plan must contain a 10 m by 10 m square (eldest), a 96 m² region (second) and a 24 m² region (youngest).", "Use the leftover 12 m by 10 m strip and split it so the areas are 96 m² and 24 m²; then justify the youngest son's choice."],
      "source": "Tao Nan 2025 P5 Weighted Assessment 2 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 3,
      "image_bbox": [0.14, 0.62, 0.86, 0.86],
      "notes": "Task 2 (Land Distribution). Open-ended draw-2-plans + give-a-reason task; interactive/free-text with no app question type -> type_id 0 (skipped on insert). Figure: blank 22m x 10m rectangle provided for the drawing."
    }
  ]
}