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


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?

Seating Arrangements

Age 7 to 11
Challenge Level

Why do this problem?

This problem encourages children to work systematically and it will consolidate their understanding of positional language.

Key questions

Which two girls are sitting next to each other?
Can you choose places for Felix and Carol?

Possible extension

Those who finish quickly could try this much harder logic problem.

Possible support

Children could use counters with the initial letter of each person on them so that they can be moved around easily.