Problems Of The Month

Information for Teachers

The Problem of the Month is designed to be considerably more difficult than Problem E of Problem of the Week. These problems may be useful for students who:

• want to explore something extracurricular;

• would like to seriously prepare for challenging contest questions such as #4 on the Hypatia Contest, #9 and #10 on the Euclid Contest, or A6 and B3 on the Canadian Senior Mathematics Contest;

• enjoy a challenge.

Information for Students

We hope you are challenged by the Problem of the Month! Here a few things to keep in mind:

• Mathematics problems are solved by trying things until you find something that works, and this takes time!

• We expect that even the strongest students will sometimes require several hours, possibly spread over several weeks, to solve these problems completely.

• There may occasionally be a technique or topic that you have not encountered. We encourage you to explore these things on your own, but we will try to make note of such things in our hint.

We hope these problems will encourage you to think about something new!