Mathematical Modelling - Upper Secondary

Where to Land

Stage: 4 Challenge Level: Challenge Level:1

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

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

Stage: 5 Challenge Level: Challenge Level:1

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

Dangerous Driver?

Stage: 5 Challenge Level: Challenge Level:1

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

Model Solutions

Stage: 5 Challenge Level: Challenge Level:1

How do these modelling assumption affect the solutions?

10 Olympic Starters

Stage: 5 Challenge Level: Challenge Level:1

10 intriguing starters related to the mechanics of sport.

The Not-so-simple Pendulum 1

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

Relative Time

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 25 - 2014
Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?

Trolley Park

Stage: 3 and 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 14 - 2016
In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?

Mathematical Modelling - Short Problems

Stage: 3 and 4

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

Mathematical Modelling - Short Problems

Stage: 3 and 4

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

London Eye

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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?