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Problem of the week – COMC 2024

Problem of the Week​

Nicolae Strungaru
Nicolae Strungaru

        by Prof. Nicolae Strungaru, Grant MacEwan University

The CMS is extremely grateful to Dr. Nicolae Strungaru (MacEwan) for creating the Problems of the Week to help thousands of students prepare for the COMC each year. Thank you, Professor Strungaru!

The COMC has three parts: In part A solutions do not require work be shown and may be possible to do in your head. In part B the problems begin to draw on more knowledge and have some more challenging aspects that will need a pencil and paper to solve. By Part C the problems require that work be shown and involve arguments to support the answer.

We have selected a cross section of contest problems from a variety of national and regional contests that we hope will stimulate interest in problem solving and give some experience to get ready to write the Canadian Open Mathematics Challenge in October. The problem areas are not tied to particular grade levels, or to the curriculum but cover a number of areas from algebra, through logic and some geometry.

We will post solutions to these problems one week later, but teachers should be aware that determined students may be able to locate solutions elsewhere online before then.

For a more comprehensive set of problems and solutions at each of these levels, please feel welcome to download past official exams and solutions from our archive.

Week 1

Problem A Solution:

Problem B Solution:

Week 2

Check back here on Tuesday for the solution.