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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?

Eight Queens

Age 7 to 11
Challenge Level

Why do this problem?

This problem involves logical thinking and spatial awareness. You could also focus on working systematically if you encouraged children to find all the possible solutions.

Key questions

Where could you put the first queen?
Where could the next queen go? And the next ...?
Have you checked that each queen cannot capture any of the others?

Possible extension

Children could investigate how the size of the grid affects the problem.

Possible support

Drawing or printing off this grid and using counters will help children try out their ideas.