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Tangrams

Can you make five differently sized squares from the tangram pieces?

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Baked Bean Cans

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

Tricky Triangles

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

You might like to print off this sheet with the empty shapes and the three triangles. Children could cut out the triangles and work in pairs to try to complete the shapes. They will be practising their visualisation skills as well as using a trial and improvement approach in many cases.

The twenty outlines in this problem have been constructed by keeping two of the pieces the same, which you could use as a talking point with the class. There are about sixteen ways of arranging the big triangle with just one of the others, so there are plenty more shapes to create - pupils could take up this idea by making empty shapes for their partner to fill.