High School

Below is a list of programs currently offered to students in grades 9 - 12. Click on any heading for more information on a program (*Note: some are external sites)

Math Kangaroo

  • Math Kangaroo is a 60 minute, multiple choice contest for students from grades 3 - 12
  • It takes place each year in the spring (the next competition is on March 28th, 2010)
  • Problem sets consist of three sections 8 questions each.
  • It is a contest game that originated in France in 1991 and quickly became famous in Europe. Several years later the International Association "Kangourou sans frontières" had been founded. With each passing year the popularity of the competition continues to grow attracting new cities and new countries. This year the Kangaroo will be conducted in five Canadian cities: Ottawa, Toronto, Edmonton, St. John's and Moncton.
  • Winners will be awarded with prizes and awards at a ceremony in May and students with top results will have an opportunity to participate in one of the Summer International Math Kangaroo camps organised every year in various places in Europe.
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Tournament of Towns

  • The International Mathematics Tournament of the Towns is a mathematical competition which originated in Russia. Currently, students from more than 100 cities in countries around the world, including Australia, Austria, Bulgaria, Canada, Columbia, Germany, Great Britain, Israel, Russia, Slovenia, Ukraine, and the United States take part in the Tournament of the Towns. 
  • Most mathematical competitions are usually multi-level and higher levels are offered only to students who excel on a lower level. In the Tournament of the Towns everybody is admitted to any level
  • There are two levels of difficulty in the Tournament of the Towns:
    • Level A: where some problems are as challenging as problems of the International Mathematical Olympiad
    • Level O: the main purpose of which is to attract every student interested in mathematics. However, Level 0 is still hard and challenging
  •  Most problems of the Tournament of the Towns don't require special knowledge or highly developed technical skills but require an imagination and fresh ideas
  • Most students are not equally good in all types of problems but in other mathematical competitions to score well students need to solve all the suggested problems. In the Tournament of the Towns you have a choice: you can solve up to three problems out of suggested 5-8 because only three of your best scored problems are counted.
  • Although the Tournament of the Towns is not divided by grades (there are only by Junior and Senior divisions), every grade is assigned a special coefficient to ensure fairness
  • Participation in Tournament of Towns is paid by the Department of Mathematics, University of Toronto, registration is mandatory
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Math Olymon

  • Olymon (the Mathematics Olympiads Correspondence Program) is a problems correspondence program for secondary students sponsored jointly by the Canadian Mathematical Society and the Mathematics Department of the University of Toronto. Currently, a Problem of the Week is posed and secondary students are invited to submit solutions for grading. It is intended to provide students with some background mathematics and experience and feedback on solving and writing up solutions for problems.
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Math Battle

  • Math Battle is a problem-solving competition between two teams, which usually represent two different schools. 
  • The Math Club at the University of Toronto's Department of Mathematics conducted the first Math Battle in Toronto several years ago. Since then, the competition became very popular with many high school students and grew into a city-wide event.
  • There are six reasons that explain Math Battle's growing popularity:
    • Math Battle is an excellent way to prepare for The Tournament of Towns. 
      To begin with, both competitions offer problems with a similar level of difficulty as well as a similar orientation on mathematical research. 
    • Furthermore, Math Battle trains students to present their solutions in a clear and in a mathematically rigorous way. As "speakers" students learn to deliver concise, but at the same time comprehensive, reports. As "opponents" they are trained to detect gaps and faults in practically correct solutions, which the opposite team presents. The above training becomes key to ensuring student success during The Tournament of Towns (and other competitions), during which the judges have a propensity to subtract points due to poor presentation of an otherwise correct solution. 
      During Math Battle competitions students gain a necessary understanding of the factors that constitute a good presentation. Also, they learn to accurately estimate the scores that they get in the Tournament of Towns and other math competitions. 
    • Math Battle is a team competition. Often, team spirit becomes a decisive factor in winning The Tournament of Towns. Consequently, Math Battle becomes an effective forum that teaches co-operation. Indeed, one of the main benefits of Math Battle is the fact that students learn mathematics from each other in quick, effective and unique ways, which are inaccessible in classrooms. 
    • Math Battle is a strategic game. Sometimes, it happens that stronger teams are beaten due to their poor choice of strategies. Not only does this add a certain level of excitement to the game, but it also teaches students to strategize. 
    • There is little doubt that every student with a somewhat quizzizal mind will find Math Battle problems interesting. Frequently, such students get inspired during Math Battle and develop a real taste for problem solving. Some of them get involved in Mathematics and devout themselves to further study of the subject. 
    • Finally, Math Battle is fun
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  • PUMP is a non-credit course specially designed to prepare students for entry-level mathematics courses, like calculus and linear algebra, at the University of Toronto.
  • PUMP is for those who want to close any existing gap between high school math and university level math courses. It covers algebra, geometry, trigonometry and calculus at the high school level. PUMP would also be beneficial to those who wish to review high school math before attempting university-level math or other science courses.
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Math Circles


  • Offered by the Fields Institute, Math Circles have been active in Toronto for several years. While some of the students who attend simply like to work on challenging problems, many others use the weekly circles meetings to help them prepare for competitive mathematics contests, either individually or as members of a team. 
  • Some of the past participants in this program have gone on to represent Canada at the International Mathematical Olympiad, the most elite and prestigious of these competitions. 

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Resources for High School Students