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Spiral Snail

Age 11 to 14 Short
Challenge Level

A coordinate grid has its x-axis pointing due East and its y-axis pointing due North.

A sluggish snail starts at point (0,0) and slowly slithers 1 unit North, 2 units East, 3 units South, 4 units West, 5 units North, 6 units East, 7 units South, 8 units West, 9 units North and (lastly!) 10 units East.

What are the coordinates of the snail's finishing point?


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.