Copyright © University of Cambridge. All rights reserved.

'Peri the Winkle' printed from https://nrich.maths.org/

Show menu


Peri the winkle starts at the origin $(0,0)$ and slithers anticlockwise around a semicircle with centre at $(4,0)$.

Peri then slides anticlockwise around a second semicircle with centre at $(6,0)$.

Finally, Peri slides clockwise around a third semicircle with centre at $(3,0)$.

Where does Peri end this expedition?


If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.