png, 49.54 KB
png, 49.54 KB
html, 700 Bytes
html, 700 Bytes
Visualisation, circles
Key Stage: 3 ★★★

One circle rolls around another of equal size, without slipping. How many times does it revolve before it reurns to its starting position?

This problem is interesting because the answer is not at all obvious and will challenge students' perceptions. It is a great problem in visualisation and translating a visual concept into numbers or algebra.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.


The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Creative Commons "Sharealike"

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