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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Decision Resources

### Doodles

### Network Trees

### Magic Caterpillars

### Stringing it Out

### Tourism

### Maximum Flow

### Some Circuits in Graph or Network Theory

### Production Equation

### Flow Chart

### Procedure Solver

### Zeller's Birthday

### Painting by Numbers

### Torus Patterns

### Mad Robot

### Happy birthDay

### The Olympic Torch Tour

### Drug Testing

### Sorted

### Simply Graphs

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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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?

Age 14 to 18

Challenge Level

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

Age 14 to 18

Challenge Level

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

Age 14 to 16

Challenge Level

Explore the transformations and comment on what you find.

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.

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.

Age 14 to 18

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

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?

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.

Age 16 to 18

Challenge Level

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

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.

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

ShortChallenge Level

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

Age 16 to 18

Challenge Level

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

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?

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?

Age 14 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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