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Geoboards

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

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Polydron

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

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My New Patio

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?

Tiles on a Patio

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

Using squared paper and drawing your arrangement of tiles might help.
Can you use one of the ways you've already found to find a way using a different number of tiles? Try changing just a part of it, perhaps.
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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.