Search by Topic

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 10 results

Broad Topics > Secondary processes > PM - Mathematical Modelling

problem icon

Dangerous Driver?

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

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.

problem icon

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?

problem icon

10 Olympic Starters

Stage: 5 Challenge Level: Challenge Level:1

10 intriguing starters related to the mechanics of sport.

problem icon

Model Solutions

Stage: 5 Challenge Level: Challenge Level:1

How do these modelling assumption affect the solutions?

problem icon

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.

problem icon

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. . . .

problem icon

Hands Together

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Sometime during every hour the minute hand lies directly above the hour hand. At what time between 4 and 5 o'clock does this happen?

problem icon

Christmas Trees

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Christmas trees are planted in a rectangular array of 10 rows and 12 columns. The farmer chooses the shortest tree in each of the columns... the tallest tree from each of the rows ... Which is. . . .

problem icon

Friday 13th

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

This month there is a Friday the thirteenth and this year there are three. Can you explain why every year must contain at least one Friday the thirteenth?