## Exam-Style Question on Standard Form## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 97. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

The Moon appears to orbit around the Earth with an average radius of 385 thousand kilometres.

(a) Write down this radius, in kilometres, in the form \(a\times 10^k\), where \( 1 \le a\lt 10,k\in \mathbb Z\)

(b) Calculate the distance, in kilometres, the Moon travels around the Earth in one orbit, assuming that the orbit is a circle.

It takes approximately 27.3 days for the Moon to complete one orbit.

(c) Calculate the total distance the Moon appears to travel around the earth during a leap year.

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