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# Round and Round and Round

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### Matching Fractions, Decimals and Percentages

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Age 11 to 14

Challenge Level

*Round and Round and Round printable worksheet*

This problem follows on from Going Round in Circles.

Watch the film below.

Imagine the dot starts at the point $(1,0)$, turns through $60$ degrees anticlockwise and then stops.

I was wondering, if the point hadn't stopped, and instead carried on until it had turned through $30$ $000$ degrees, might it have finished the same distance above the horizontal axis?

I took out my calculator and typed $30$ $000$ $\div$ $360$

The answer on the screen was $83.333333$.

How can I use this to help me solve my problem?

There are ideas for follow-up problems in the Notes .

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?