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Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

Make Pairs

Age 7 to 11
Challenge Level

Put $10$ counters in a row.

10 counters

Find a way to arrange the counters into five pairs, one on top of another, evenly spaced in a row so that they look like this:

5 pairs

A counter can only be moved by picking it up, jumping over two counters and landing on another counter.

Can you do it in just five moves?


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.