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Current Problem
Below you will find the monthly problem. The first problem will be posted in September. After that, a new problem will be posted on the first Tuesday of every month. A hint will follow roughly 10 days later, and a solution another 10 days after that.
Problem of the Month
Problem 1: Displacing Permutations
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Solution posted on 10/27/2025
Hint posted on 10/17/2025
Solution posted on 10/27/2025
Previous Problems, Hints and Solutions
Below you will find problems from previous month(s).
Month |
Grade |
Title |
Problem |
Hint |
Solution |
|---|---|---|---|---|---|
|
September
|
9/10/11/12
|
Problem 0: September 2025
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May
|
9/10/11/12
|
Problem 8: May 2025
|
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|
April
|
9/10/11/12
|
Problem 7: April 2025
|
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|
March
|
9/10/11/12
|
Problem 6: March 2025
|
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|
February
|
9/10/11/12
|
Problem 5: February 2025
|
Problem and Solution Archive from 2023/2024, 2022/2023
Visit the archive page to access links to booklets containing all the problems, hints and solutions from the last two years.
Information for Educators
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 the Hint.
We hope these problems will encourage you to think about something new!