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Hexpentas

Age 5 to 11
Challenge Level Yellow star
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You've maybe come across a challenge of putting five squares together in different ways - often called pentominoes.

So here are five squares and four ways of putting them together - there are obviously more ways. (You could try the Penta Place problem if you haven't seen this before.)
Sq
You may even have done a similar challenge using triangles (if not have a go at our Tri-five problem). Like this:
Tri
But the challenge for today is to consider the same idea using hexagons.
Hex
So, the challenge is:

What different shapes can you make using five hexagons?

Be careful that you do not have any the same as each other. For example, these two look different but are in fact identical:

egs

Please send in all the different shapes you can get and let us know how you made sure you had found them all.

Perhaps you also have some ideas about how you may go further with the question "I wonder what would happen if I ...?"

You may also like

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?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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