You may also like

problem icon


There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

problem icon


This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

problem icon

Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Mixed-up Socks

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair.


Now try it with four pairs of socks. Is there more than one way to do it?


Click here for a poster of this problem.

Printable NRICH Roadshow resource.