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'The Add and Take-away Path' printed from http://nrich.maths.org/
Try it out!
You could start with $10$ counters and add more or take them away
as you move along your path. Then, when you reach the end of
the path, you can count the number of counters you have left
to find out your score.
How will you make sure you remember the paths you've tried?
How will you remember the score each time?