Challenge Level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Challenge Level

Can you explain why every year must contain at least one Friday the thirteenth?

A collection of short Stage 3 and 4 problems on Mathematical Modelling.

Challenge Level

What's the largest volume of box you can make from a square of paper?

A chance to explore the mathematics of networks as applied to epidemics and the spread of disease.

Challenge Level

Have you ever wondered what it would be like to race against Usain Bolt?

Challenge Level

A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance up the wall which the ladder can reach?

Challenge Level

Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

Challenge Level

Can you work out which processes are represented by the graphs?

Challenge Level

10 intriguing starters related to the mechanics of sport.

Challenge Level

Work in groups to try to create the best approximations to these physical quantities.

Challenge Level

Was it possible that this dangerous driving penalty was issued in error?

Challenge Level

See how the motion of the simple pendulum is not-so-simple after all.