# Exam-Style Question on Similarity

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 516. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

The circumference of the red circle is 80% of the circumference of the blue circle.

(a) Find the ratio of the area of the red circle to the area of the blue circle.

The green square has sides of length $$a$$ cm.

The yellow square has sides of length $$b$$ cm.

The area of the green square is 21% greater than the area of the yellow square.

(b) Work out the ratio $$a : b$$

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