Similar Shapes and Enlargements GCSE revision and worksheets

Similar shapes is an ever increasingly difficult topic at GCSE Maths as new questions types seem to appear each year as part of the new 9-1 course. The similar shape questions can often be part of a multi-topic question which adds to the difficulty of solving the problem. However, in order to apply your knowledge of similar shapes you first need to master them and fully understand the different question types that can appear. Take a look at our similar shape resource below to see what you find useful.

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What you need to know

What you need to know:

Two shapes are similar if they are the same shape but not necessarily the same size. Geometrically, this means that all angles in two similar shapes are identical, but their side lengths can be different. Typically, we relate two similar shapes of different sizes with a scale factor – a fixed number that when multiplied by the side-lengths of the smaller shape gives us the side-lengths of the bigger shape. A typical question may ask you to find the missing side-length of a shape by using information in the question to find (and then use) the scale factor.

You should additionally understand the relationship between similarity and ratios. For example, if two rectangles are similar, then the ratio of the two shorter sides is the same as the ratio of the two longer sides.

In the higher course only, you are expected to answer questions about areas and volumes (as well as side-lengths) in similar shapes. For this, they key point is to note that if the side-lengths increase by a fixed scale factor, then the area increases by the scale factor squared, and the volume increases by that scale factor cubed.

Similar Shapes Revision and Worksheets

Similar Shapes
Level 4-5
Similar Shapes 2
Level 4-5
Similar Shapes 3
Level 4-5
Similar shapes: area
Level 6-7
Similar shapes: volume
Level 6-7
Similar shapes: further
Level 6-7
Similar shapes: Finding Sides
Level 4-5
Similar Shapes (Area and Volume)
Level 6-7

You may be a GCSE Maths tutor in Harrogate or a trainee teacher in London and you need some new resources for a GCSE Maths class you are about to teach. Whether you are teaching a class or an individual student, the similar shapes revision worksheets on this page will come in handy. From straight forward questions to reverse scale factor questions, the similar shape revision materials presented cover many different question types suitable for many different abilities. For more GCSE Maths resources visit our main page.

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