Copyright © University of Cambridge. All rights reserved.

'Pencil Turning' printed from

Show menu

A pencil AB lying on a table is given a half turn about the end B (so that A moves to A*) and then a half turn about A* (so that B moves to B*). The point C on the pencil is one third of the way from A to B.

Weekly Problem 2

What is the ratio of the total distances moved by A and by C?


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

See all short problems arranged by curriculum topic in the short problems collection
This problem is taken from the UKMT Mathematical Challenges.