Mathematical Modelling - Upper Secondary

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?

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?

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.

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.

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.

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?

What's That Graph?

Age 14 to 16 Challenge Level:

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

The London Eye

Age 14 to 16 Short Challenge Level:

Weekly Problem 18 - 2014
The 80 spokes of the giant wheel The London Eye are made from 4 miles of cable. What is the approximate circumference of the wheel?

Travelator

Age 14 to 16 Short Challenge Level:

When Andrew arrives at the end of the walkway, how far is he ahead of Bill?