Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Teddy Town

## Related Collections

## You may also like

### Geoboards

Or search by topic

Age 5 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

Clara from the United World College Singapore wrote:

If I was doing 4 houses and 4 teddies, I would make 2 of the houses red and the other 2 houses blue. And the 4 teddies, 2 red and the other 2 blue. I would put 1 of the red teddies in the blue House, and put 1 of the blue teddies in the red house. Then I would put the other two teddies in the opposite house.

Tim has been very busy arranging teddies. He sent us pictures of his arrangements. Well done Tim!

Tim said that he couldn't arrange the houses and teddies on the map when there were six colours, but he wasn't sure why. In fact, this is quite a famous problem. You can read about it on the NRICH site or at www.cut-the-knot.org, for example (our teddy bear problem is equivalent to finding two orthogonal Latin squares of different orders).

If I was doing 4 houses and 4 teddies, I would make 2 of the houses red and the other 2 houses blue. And the 4 teddies, 2 red and the other 2 blue. I would put 1 of the red teddies in the blue House, and put 1 of the blue teddies in the red house. Then I would put the other two teddies in the opposite house.

Tim has been very busy arranging teddies. He sent us pictures of his arrangements. Well done Tim!

Tim said that he couldn't arrange the houses and teddies on the map when there were six colours, but he wasn't sure why. In fact, this is quite a famous problem. You can read about it on the NRICH site or at www.cut-the-knot.org, for example (our teddy bear problem is equivalent to finding two orthogonal Latin squares of different orders).

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.