Perimeter of composite shapes

Sample Perimeter of composite shapes questions

A few of the 7 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 14 marksGrade 5-6
   A shape is made from a rectangle of length $6$ cm and width $6$ cm, with one of the short ends replaced by a semicircle (the semicircle's diameter equals the width of the rectangle). Calculate the perimeter of the shape. Give your answer correct to 1 decimal place.
   Show the worked solution

   Straight sides $= 6 + 6 + 6 = 18$

What are the common mistakes in Perimeter of composite shapes?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Omits one of the component shapes when finding the total area/volume of a composite shape

  Calculated only the three straight sides ($20$ cm), forgetting to add the semicircular arc length.

• Uses the full circumference instead of half when finding the perimeter of a shape with a semicircular edge

  Calculated $2\pi \times 3 ≈ 18.85$ cm for the curved edge instead of half the circumference ($\pi r$

Quick answers about Perimeter of composite shapes

How many Perimeter of composite shapes practice questions are there?

There are 7 self-marking GCSE Maths questions on Perimeter of composite shapes, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

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