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Geoboards

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

Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Fencing

Age 7 to 11
Challenge Level

There are lots of ways that you could choose to investigate this problem.

Have a go yourself, and if you discover anything interesting then let us know ! Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried.

Teachers - you might like to send in a summary of your children's work.


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.