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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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Tiles on a Patio

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

Square Corners

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

Thank you to all those who answered this problem, which is not as straightforward as it may seem.
John and Chadwick at Coleridge Community College sent in these solutions:

John

Chadwick
Kenny and Bon from Our Lady's School in Welwyn Garden City found these arrangements:

Kenny

Bon
Children from the Challenge Club at Lodgefields Primary School, Crewe have found more arrangements:

Emily

Ian

Christopher

David and Daniel
Maybe there are other possibilities?

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.