# Exam-Style Question on Error Bounds

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

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Question id: 546. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

(a) Calculate the upper bound for the value of A giving your answer correct to 6 significant figures if:

$$A = \frac{3b}{2c^2}$$

$$b = 7.4$$ correct to 2 significant figures and $$c = 4.38$$ correct to 3 significant figures.

(b)The lower bound for the value of A is 0.573376 correct to 6 significant figures.

By considering bounds, write down the value of A to a suitable degree of accuracy. You must give a reason for your answer.

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If you need more practice try the self-checking interactive exercises called Upper and Lower Bounds.

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