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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?

Colour in the Square

Age 7 to 16
Challenge Level

Liam and Joanne from Moorfield Junior School sent us this solution:

We worked out that every new line we started had to have each colour two spaces away from the same colour on the line above.


Do you agree with them? Did you find any of the other ways to solve this problem?


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.