Working systematically

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?

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Find out about the lottery that is played in a far-away land. What is the chance of winning?

Can you work out the probability of winning the Mathsland National Lottery?