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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?

Elf Suits

Age 7 to 11
Challenge Level

Why do this problem?

This problem requires children to work in a systematic way to find all possibilities.

Key questions

How will you record what you're doing?
How will you make sure you find all the possibilities?

Possible support

The problem could be simplified to just two elves, then three elves, so that children become confident with a particular system before there are too many possibilities. You could ask learners to record each possibility on a separate piece of paper so that a system can be imposed afterwards and gaps can be filled.