PROBLEM-OF-THE-WEEK

Welcome to Trent's Problem-of-the-Week Contest! On Monday ofeach week (give or take a few) a new problem will be postedhere. Solutions are due the following week -- they can bemailed in, e-mailed or slipped under my office door. Problemswill be also be posted electronically to the newsgrouptrentu.general and a hard copy will always beposted outside my office (LEC N127-2). Solvers will havetheir names posted and the best of the submitted solutionswill be given. Most of the problems can be done using onlyhigh school mathematics and logical reasoning so dust offthose little grey cells, sharpen your pencils and plungein!

At the end of the year, a prize will be awarded to the personwho has submitted the most correct solutions.

Send your solutions to David Poole, Department ofMathematics, LEC N127-2 or by e-mail to madgp@blaze.trentu.ca.Happy problem solving!

The Problems

Problem 1 (Week of October 6)

Problem 2 (Week of October 13)

Since there was no problem last week (reading week at Trent), this week we offer two.

Problem 3 (Week of October 27)

Problem 4 (Week of October 27)

Here is a tentative solution to Problem 4:

and an improvement:

-- can anyone do better?

Problem 5 (Week of November 3)

Problem 6 (Week of November 10)

Problem 7 (Week of November 17)

Problem 8 (Week of November 24)

Here is the last problem for this term:Problem 9 (Week of December 1)

Congratulations to Steve Sayer who wins a Trent Math Society T-shirt for solving the most problems last year!

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