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Make a cube out of straws and have a go at this practical challenge.

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Reasoning about the number of matches needed to build squares that share their sides.

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Tangram Paradox

How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!

Tetrahedron Faces

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow.


How many different possibilities are there, if we count those that just differ by a rotation as the same?
How many different possibilities would there be if the tetrahedron was irregular?