Mathematical Modelling

Mathematical Modelling is part of our Working Mathematically collection.

Friday 13th

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

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

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 the taller tree, A or B?

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?

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?

Where to Land

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

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?

Cuboid Challenge

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

What size square corners should be cut from a square piece of paper to make a box with the largest possible volume?

Speed-time Problems at the Olympics

Stage: 4 Challenge Level: Challenge Level:1

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

Place Your Orders

Stage: 3 Challenge Level: Challenge Level:1

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

What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

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

Disease Dynamics - understanding the spread of diseases

Stage: 4

A collection of resources for students to explore the mathematics of networks as applied to epidemics and the spread of disease.

Mathematical Modelling - Short Problems

Stage: 3 and 4

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