### Cubes

How many faces can you see when you arrange these three cubes in different ways?

### Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

### Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

# Cops and Robbers

##### Age 7 to 16 Challenge Level:

Can you help the police locate the robber?

The robber is hiding in a modern city, where the roads are all at right angles and equally spaced. Imagine the grid lines represent roads. The robber is hiding at a crossroads.

Input coordinates to help the police search and find the robber with the fewest guesses. The interactivity gives you the shortest distance you'd have to travel (along the roads) to reach the robber.

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

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