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This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

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Order, Order!

Can you place these quantities in order from smallest to largest?

Triangle Animals

Age 5 to 7
Challenge Level

I can join two equilateral triangles together along their edges like this:


two triangles


How many different ways are there to join three equilateral triangles together? (You must match an edge to an edge.)

How do you know you have got them all? You may find it useful to print out and cut up triangles from this sheet.


How many different ways are there to join four equilateral triangles together?

Have you got a system for checking that you have them all?

For a further challenge, you might like to look at Tri-Five.