• What angles can you see in these photos of Olympic sports? Can you estimate them? This challenging activity is aimed at older primary pupils at Key Stage 2.

• What could the half-time scores have been in these Olympic hockey matches? This activity encourages systematic working and discussion, and is designed to be accessible to primary pupils at Key Stages 1 and 2.

• Four sporty brainteasers in the context of fencing, hockey, football and international medal tables. This activity challenges students to be resourceful, to think logically and to work systematically, and is designed to be accessible to secondary maths students at Key Stages 3 and 4.

• If two goals are scored in a hockey match between two equally-matched teams, what are the possible scores? This activity gives an opportunity to investigate probability in the context of sport, and is designed to be accessible to secondary maths students at Key Stage 3.

• Team games like football, hockey, basketball, handball and wheelchair rugby are played on pitches or courts of different sizes with different numbers of players. The density of players on the pitch plays a significant role in determining the nature of the game and how fast players need to react. This investigative activity challenges students to research information about a number of sports and to engage in mathematical modelling, and is aimed at higher level GCSE and A Level students (Key Stage 4 and 5).