Stage: 3 Challenge Level:
Why do this problem?
I've set this as an introductory problem to a day's workshop on
Problem Solving. Students reaction has often been "It's
Once the problem was solved it provided a useful vehicle for
discussing what mathematicians do when they are stuck: experiment,
explore dead ends, discuss with friends, walk away from the problem
and return to it later...
Teachers may want to use this problem to help students think about
what they do when they want to give up.