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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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Multilink Cubes

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

Counters

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Once player 1 has had their first turn, what options are there for the second player? Which counter/s could he or she take? How will you know which would be the best to remove?
Might it help to record the results of the games?

How many different ways are there for the first player to begin? Does the grid have any symmetry that may help you?