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## 'Spiral Snail' printed from http://nrich.maths.org/

A sheet of graph paper is placed with its

x-axis pointing due East and its

y-axis pointing due North. A sluggish snail starts at point (0,0) and slowly, but smoothly, 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.

At which point does the snail finally arrive?

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*This problem is taken from the UKMT Mathematical Challenges.*

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