# Exam-Style Question on Approximation

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

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Question id: 273. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

Minerva's Revenge, the longest rollercoaster in the Funville Theme Park, takes 95 seconds (to the nearest 5 seconds) to complete one circuit of the 2280 metre long track.

(a) Mr Finklestein assumes that the track has been measured to the nearest 10m. What is the greatest possible speed of the rollercoaster train if his assumption is correct?

(b) Mr Finklestein finds out that in fact the track was measured to the nearest 5m. With this new information recalculate the greatest possible speed.

(c) Comment on the effect this new information had on the results of the calculations.

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