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Problem of the Month

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The Problem of the Month is intended to challenge enthusiastic high school math students. Most problems are designed with the assumption that students attempting them have a solid understanding of grade 11 math, but some problems may still be of interest to motivated younger students. 

A new problem will be posted on the first Tuesday of every month starting in October. A hint will follow 10 days later, and a solution another 10 days after that.

Current Problem

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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!

Current Problem Archive 2022-2023

September   October   November   December   January  

Hint 2022-2023

September   October   November   December   January  

Solution 2022-23

September   October   November   December   January  

Problem, Hint and Solution Archive

The booklets containing all the problems, hints and solutions from 2019-2020, 2020-2021, and 2021-2022 Problem of the Month are linked below. The problems are organized by date they appeared