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Third in our series of problems on population dynamics for advanced students.

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

Can you make a new type of fair die with 14 faces by shaving the corners off a cube?

The challenge here is to find as many routes as you can for a fence to go so that this town is divided up into two halves, each with 8 blocks.

Can you sketch these difficult curves, which have uses in mathematical modelling?

This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.