Decision Resources

Doodles

Age 14 to 16
Challenge Level

Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?

Network Treeslive

Age 14 to 18
Challenge Level

Explore some of the different types of network, and prove a result about network trees.

Magic Caterpillars

Age 14 to 18
Challenge Level

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

Stringing it Out

Age 14 to 16
Challenge Level

Explore the transformations and comment on what you find.

Tourism

Age 11 to 14
Challenge Level

If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

Maximum Flow

Age 16 to 18
Challenge Level

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Some Circuits in Graph or Network Theory

Age 14 to 18

Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.

Production Equation

Age 16 to 18
Challenge Level

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?

Flow Chart

Age 11 to 14
Challenge Level

The flow chart requires two numbers, M and N. Select several values for M and try to establish what the flow chart does.

Procedure Solver

Age 16 to 18
Challenge Level

Can you think like a computer and work out what this flow diagram does?

Zeller's Birthday

Age 14 to 16
Challenge Level

What day of the week were you born on? Do you know? Here's a way to find out.

Painting by Numbers

Age 16 to 18
Challenge Level

How many different colours of paint would be needed to paint these pictures by numbers?

Torus Patterns

Age 16 to 18
Challenge Level

How many different colours would be needed to colour these different patterns on a torus?

Mad Robot

Age 16 to 18 Short
Challenge Level

Can you work out what happens when this mad robot sets off?

Happy birthDay

Age 16 to 18
Challenge Level

Can you interpret this algorithm to determine the day on which you were born?

The Olympic Torch Tour

Age 14 to 16
Challenge Level

Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?

Drug Testing

Age 16 to 18
Challenge Level

How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?

Mystery Procedure

Age 14 to 16
Challenge Level

Can you work out what this procedure is doing?

Sorted

Age 14 to 18
Challenge Level

How can you quickly sort a suit of cards in order from Ace to King?

Simply Graphs

Age 16 to 18
Challenge Level

Look for the common features in these graphs. Which graphs belong together?