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Year 8 Maths • AC9M8M01 • Authored homework

Area and perimeter of composite shapes

Practise Area and perimeter of composite shapes through calculations, explanation, modelling and checking. Show reasoning in full sentences where useful, and check calculations or conclusions before finishing.

10
Short-answer questions
10
Long-answer questions
1
Research/application task

Part A

Short-answer questions

  1. Find the perimeter of an L-shape made from a 10 m by 6 m rectangle with a 3 m by 2 m corner removed.

  2. Find the area of that L-shape.

  3. Explain why area units are squared but perimeter units are not.

  4. A student adds all visible lengths but misses an inside edge. Explain how to avoid this.

  5. Write the rule or formula most useful for Area and perimeter of composite shapes.

  6. Show how to check one answer using estimation, substitution or inverse operations.

  7. Write one common mistake students make in Area and perimeter of composite shapes and correct it.

  8. Create a small table, diagram or equation that represents this topic.

  9. State where units, exact form or rounding matter in this topic.

  10. Write one exam-style short question on Area and perimeter of composite shapes and solve it.

Part B

Long-answer questions

  1. A garden is made from two rectangles: 8 m by 5 m and 4 m by 3 m. Find total area and fencing length.

  2. Design a composite floor plan and calculate the amount of carpet and skirting board needed.

  3. Solve a multi-step problem involving Area and perimeter of composite shapes and explain every step clearly.

  4. Create a realistic word problem for Area and perimeter of composite shapes, solve it and interpret the answer.

  5. Compare two methods for a problem in Area and perimeter of composite shapes and explain which is more efficient.

  6. Write a worked solution that includes a check for reasonableness.

  7. Create a problem with a deliberate trap, then solve it correctly and explain the trap.

  8. Use a diagram, table, graph or equation to model a situation involving Area and perimeter of composite shapes.

  9. Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

  10. Write a full-mark response to a challenging Area and perimeter of composite shapes question, including reasoning and final answer.

Part C

Research and understanding task

Research a room, garden or playground layout. Draw a composite shape and calculate area and perimeter.