About the COMC

Click on the links below to view nine weeks of videos solutions, which I made for high school students practicing for the 2019 Canadian Open Mathematical Challenge (COMC) offered by the Canadian Mathematical Society (CMS). Written problem and solutions may be found on the Problem of the Week page.

About the first week of September, the CMS begins posting weekly samples problem to familiarize contestants with the kinds of questions found on the COMC exam, which takes place about the end of October. The solution is posted the following week when the next problem is posted. The COMC is Canada's premier national mathematics competition that is open to any student with an interest in and grasp of high school math. Approximately the top 50 students from the COMC will be invited to write the Canadian Mathematical Olympiad (CMO). Students who excel in the CMO will have the opportunity to be selected as part of Math Team Canada -- a small team of students who travel to compete in the International Mathematical Olympiad (IMO).

Video Solutions to Practice Problems for the COMC 2019

Click any of the ten links below to view the corresponding video on YouTube.

• Week 1 Problem A (25:15) shows how to solve a problem involving repunit primes from the Chilean Mathematical Olympiads 1994-95.
  
• Week 1 Problem B (30:50) shows how to solve a geometrical problem involving triangles from the XV Gara Nazionale di Matematica 1999.
  
• Week 2 (1:00:18) shows how to solve a problem involving the counting of mathematical subsets from the Icelandic Mathematical Contest 2004-05.
  
• Week 3 (33:44) shows how to solve a problem involving the sequences made from recurrence relations from the Mathematical Olympiad of the Asociación Venezolana de Competencias Matemáticas, 2006.
  
• Week 4 (31:06) shows how to solve an algebra problem involving radicals from 31st Spanish Mathematical Olympiad, First Round.
  
• Week 5 (1:03:52) shows how to solve a problem involving a Diophantine Equation from the 26th Belgian Mathematical Olympiad.
  
• Week 6 (42:44) shows how to solve an algebra problem involving bijective real-valued functions of a real variable from the 17th Balkan Mathematical Olympiad.
  
• Week 7 (46:02) shows how to solve a problem involving a tiling formed from equilateral triangles from the Olimpiada Nacional Escolar de Matematica 2009, Level 2.
  
• Week 8 (40:09) shows how to solve an algebra problem whose solution requires knowledge of the Unique Factorization Theorem, from the Second paper, Sixth Irish Mathematical Olympiad.
  
• Week 9 (1:19:14) shows how to solve a geometrical problem involving knowledge of Similar Triangles. Bonus footage provides an alternative solution using the Law of Sines. This bonus material is not found in the written solutions. This problem is from the 30th Spanish Mathematical Olympiad, First Round, 1993.