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In how many ways can you halve a piece of A4 paper? How do you know they are halves?

Can you fit the tangram pieces into the outlines of the telescope and microscope?

It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.

In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

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

This task is looking at creating polygons with specific lengths. Also, there's a chance to explore symmetry.