List

Decision Resources

Doodles
problem

Doodles

Age
14 to 16
Challenge level
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Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?
Network Trees
problem

Network Trees

Age
14 to 18
Challenge level
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Explore some of the different types of network, and prove a result about network trees.
Magic Caterpillars
problem

Magic Caterpillars

Age
14 to 18
Challenge level
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Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.
Stringing it Out
problem

Stringing it Out

Age
14 to 16
Challenge level
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Explore the transformations and comment on what you find.
Tourism
problem

Tourism

Age
11 to 14
Challenge level
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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
problem

Maximum Flow

Age
16 to 18
Challenge level
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Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.
Production Equation
problem

Production Equation

Age
16 to 18
Challenge level
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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
problem

flow chart

Age
11 to 14
Challenge level
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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
problem

Procedure solver

Age
16 to 18
Challenge level
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Can you think like a computer and work out what this flow diagram does?
Zeller's Birthday
problem

Zeller's Birthday

Age
14 to 16
Challenge level
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What day of the week were you born on? Do you know? Here's a way to find out.
Painting by Numbers
problem

Painting by Numbers

Age
16 to 18
Challenge level
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How many different colours of paint would be needed to paint these pictures by numbers?
Torus patterns
problem

Torus patterns

Age
16 to 18
Challenge level
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How many different colours would be needed to colour these different patterns on a torus?
Mad robot
problem

Mad robot

Age
16 to 18
Challenge level
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Can you work out what happens when this mad robot sets off?
Happy \birthDay
problem

Happy birthDay

Age
16 to 18
Challenge level
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Can you interpret this algorithm to determine the day on which you were born?
The Olympic Torch Tour
problem

The Olympic Torch Tour

Age
14 to 16
Challenge level
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Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
Drug testing
problem

Drug testing

Age
16 to 18
Challenge level
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How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?
Mystery Procedure
problem

Mystery Procedure

Age
14 to 16
Challenge level
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Can you work out what this procedure is doing?
Sorted
problem

Sorted

Age
14 to 18
Challenge level
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How can you quickly sort a suit of cards in order from Ace to King?
Simply Graphs
problem

Simply Graphs

Age
16 to 18
Challenge level
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Look for the common features in these graphs. Which graphs belong together?