Year 10 Similarity Worksheets (GCSE) | Printable PDFs
Year 10 Similarity worksheets for Year 10 Maths (Key Stage 4, GCSE). Students aged 14-15 learn how to identify similar shapes, calculate scale factors, and use proportional reasoning to find missing lengths. They also apply similarity to problems involving perimeter, area and volume, developing the skills needed for higher-tier GCSE questions.
To practice further Similarity problems see Year 9 Similarity Worksheets. Year 10 students extend their knowledge by solving multi-step problems, using scale factors in real-world contexts, and understanding how areas and volumes change when similar shapes are enlarged or reduced.
Sign Up to Unlock 10 Free Answers Every Month
Similarity and Scale Factors
For more Congruence and Similarity Worksheets, see Year 9 Congruence and Similarity Worksheets
Common Questions about Year 10 Similarity
What are similar shapes?
Similar shapes have the same angles and the lengths of corresponding sides are in the same ratio. They may be different sizes but have the same shape.How do you find the scale factor between two similar shapes?
Divide a length on the enlarged shape by the corresponding length on the original shape. The result is the scale factor.How do area and volume change when a shape is enlarged?
If the scale factor is k, areas are multiplied by k² and volumes are multiplied by k³.
Year 10 Similarity Common Mistakes
Common Mistake 1
A common mistake is assuming shapes are similar just because they look alike, without checking that corresponding angles are equal and corresponding sides are in the same ratio.Common Mistake 2
Students often divide the lengths the wrong way round when finding the scale factor, which gives the reciprocal of the correct answer.Common Mistake 3
Another common mistake is using the linear scale factor for area or volume, instead of using k² for area and k³ for volume.
Similarity Worksheets - Free Worksheets Above
Similar Shapes and Scale Factors (A)
Similar Shapes and Scale Factors (B)
More To Come