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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!

Face Painting

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
How many faces/edges/vertices does this shape have?
How many other faces does each face touch?
Have you tried drawing a net of the shape?
It might help to make the shape out of Polydron, or perhaps you can find some solid shapes to work with?