Working systematically

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Can you find the hidden factors which multiply together to produce each quadratic expression?

An introduction to bond angle geometry.

What is the smallest number of answers you need to reveal in order to work out the missing headers?

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Use cunning to work out a strategy to win this game.

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.