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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?

Turning N Over

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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.
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