Have you heard of the National Young Mathematicians' Award (NYMA)? If not, you can find out more here.
Bernard, one of the members of the NRICH team, creates the brain-stretching activities used in the NYMA. In this feature, we have gathered together some tasks which will help you 'limber up' for the main NYMA tasks. Have a go at these tricky challenges and see how you get on ...
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?