Area of composite shapes

Sample Area of composite shapes questions

A few of the 19 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 3-4
   A shape is made from a rectangle with width $4$ cm and height $5$ cm, with a triangle on top. The base of the triangle equals the width of the rectangle, and the height of the triangle is $5$ cm. Calculate the total area of the shape.

What are the common mistakes in Area 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 rectangle area (20 cm²), forgetting to add the triangle.

• Adds an area/volume that should have been subtracted (e.g. a cut-out region) when finding a composite shape's total

  Calculated $108 + 3.14 ≈ 111.1$ cm², adding the circular area instead of subtracting it - a hole removes area, it doesn't add it.

• Fails to subtract a cut-out/hole region when finding a composite shape's area or volume

  Calculated only the rectangle area (108 cm²), forgetting to subtract the circular hole.

Quick answers about Area of composite shapes

How many Area of composite shapes practice questions are there?

There are 19 self-marking GCSE Maths questions on Area of composite shapes, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Area of composite shapes?

No. You can start practising Area of composite shapes straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.