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First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2...

A sequence of polynomials starts 0, 1 and each poly is given by combining the two polys in the sequence just before it. Investigate and prove results about the roots of the polys.

Can you match up the entries from this table of units?

Can you work out where the blue-and-red brick roads end?

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

This short question asks if you can work out the most precarious way to balance four tiles.

This train line has two tracks which cross at different points. Can you find all the routes that end at Cheston?

Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?