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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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.