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

The Glacier Ski Resort has this sign showing the safety limit for each cable car:

MAXIMUM WEIGHT OF
ALL PASSENGERS
IN EACH CAR IS 500kg

Eddie and some other people are in one of the cable cars. Their total mass is 570 kg to the nearest 5 kg

Eddie gets out. He has a mass of 74 kg to the nearest kg.

Is the cable car now safe to use? You must show your working.

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

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