Copyright © University of Cambridge. All rights reserved.

'Weighing Scales' printed from

Show menu

See all short problems arranged by curriculum topic in the short problems collection

A child's box of bricks contains cubes, cones and spheres. Two cones and a sphere on one side of a pair of scales will just balance a cube on the other side;

and a sphere and a cube together will just balance three cones.
How many spheres will just balance a single cone?


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



This problem is taken from the UKMT Mathematical Challenges.