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Can you make sense of the three methods to work out what fraction of the total area is shaded?

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Can you use the information to find out which cards I have used?

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?

This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.