### Sense of Direction

Weekly Problem 5 - 2012
Can you work out the direction of Abbots Morton from Wyre Piddle?

### Overbearing

Weekly Problem 33 - 2009
In a village the pub, church and school are at different lengths and bearings from each other. What is the bearing of the school from the church?

### Kangaroo Hops

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?

# Turning N Over

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

A square card printed with the letter N is held horizontally, as shown in the diagram, where the arrow indicates the direction of North.

The card is turned over by rotating it through $180^{\circ}$ about an axis running from East to West, and then turned over by rotating it through $180^{\circ}$ about an axis runnning from North-East to South West.

How does the diagram now look to a person facing North?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.