Mathematical Modelling


Mathematical Modelling is part of our Thinking Mathematically collection.

Place Your Orders

Age 11 to 14
Challenge Level

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

Friday 13th

Age 11 to 14
Challenge Level

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

Cuboid Challenge

Age 11 to 16
Challenge Level

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

Disease Dynamics - understanding the spread of diseases

Age 14 to 16

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

Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level

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

Slippage

Age 14 to 16
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?

Where to Land

Age 14 to 16
Challenge Level

Chris is enjoying a swim but needs to get back for lunch. If she can swim at 3 m/s and run at 7m/sec, how far along the bank should she land in order to get back as quickly as possible?

What's That Graph?

Age 14 to 18
Challenge Level

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

Dangerous Driver?

Age 16 to 18
Challenge Level

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

Model Solutions

Age 16 to 18
Challenge Level

How do these modelling assumption affect the solutions?

10 Olympic Starters

Age 16 to 18
Challenge Level

10 intriguing starters related to the mechanics of sport.

Big and Small Numbers in Physics - Group Task

Age 16 to 18
Challenge Level

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

The Not-so-simple Pendulum 1

Age 16 to 18
Challenge Level

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