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Watching the Wheels Go 'round and 'round

Age 7 to 11
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A man on a Penny Farthing bicycle.

The front wheel on the penny-farthing bicycle has a circumference of 200 centimetres.

If you were describing the circumference in metres, what would it be?
How many times would the wheel turn if the bicycle travels one kilometre?

The back wheel on the cycle has a 50 centimetres circumference.

If you were describing this circumference in metres, what would it be?
How many times would this wheel turn if the bicycle travels one kilometre?
Would the large or the small tyre get more wear and tear on a long journey?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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