### Teddy Town

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

### Have You Got It?

Can you explain the strategy for winning this game with any target?

### Instant Insanity

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

# Conway's Chequerboard Army

##### Stage: 3 Challenge Level:

Here is a solitaire type environment for students to experiment with. It requires forward planning and logical thinking.

The narrator Christopher in the novel The Curious Incident of the Dog in the Night-time remarks that Conway's soldiers is "a good mathematics problem to do in your head when you don't want to think about something else because you can make it as complicated as you need to fill your brain by making the board as big as you want and the moves as complicated as you want" (Mark Haddon 2003).

If students have enjoyed this problem they may be interested in reading Mathematical mysteries: The Solitaire Advance and Conway's Angels and Devils Game