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Given any three non intersecting circles in the plane find another circle or straight line which cuts all three circles orthogonally.

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

Is there a quick and easy way to calculate the sum of the first 100 odd numbers?

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?

If Tom wants to learn to cook his favourite supper, he needs to make a schedule so that everything is ready at the same time.

Can you make the birds from the egg tangram?

These practical challenges are all about making a 'tray' and covering it with paper.

Have a go at this 3D extension to the Pebbles problem.

In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?