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Pascal, Cayley and Fermat Mathematics Contests

The Pascal, Cayley and Fermat Contests are an opportunity for students to have fun and to develop their mathematical problem solving ability.

Visit our Coronavirus Information webpage for more details on the impact of COVID-19 on CEMC contests, workshops and resources.


Students in Grade 9 or below are eligible to write the Pascal Contest.
Students in Grade 10 or below are eligible to write the Cayley Contest.
Students in Grade 11 or below are eligible to write the Fermat Contest.


Written in February. See details for current year.


In 2021, some students will write a paper-based contest and some will write online. Schools have the option of allowing their students to write in either mode. Individuals/Home Schools write online. More information for the supervising teachers is available.

More Details for 2021

  • Students can register through their school or as an Individual/Home School.
  • Schools can choose to have some or all of their students write on paper and some or all of their students write online. Schools do not need to provide the breakdown of paper/online to the CEMC in advance of the contest.
  • Students registered as Individuals/Home Schools will write online and will not be mailed any materials.
    Please contact us if you anticipate difficulties with this requirement.
  • Through their supervisor, each student writing online will be provided a link and a password to access a secure online platform assembled specifically for our 2021 multiple choice contests.
  • Students writing online will:
    • Enter all of the information normally provided on the Student Information Form
    • Download (and print, if they wish) the contest paper
    • Solve as many questions as possible and enter their 25 multiple choice answers
    • Submit
    The online platform will record their start time and their end time; students must complete these tasks in, at most, 65 minutes to be considered eligible.
  • Students writing online will not receive their scores immediately. Supervisors will be informed by email once the contest results are available.
  • The online platform will be available in early February 2021 to anyone registered to allow interested students to practice using the system with the 2020 Pascal, Cayley and Fermat problems.

Mathematical Content

Early questions require only concepts found in the curriculum common to all provinces. The last few questions are designed to test ingenuity and insight. Rather than testing content, most of the contest problems test logical thinking and mathematical problem solving.

Contest Registration Information

Register for contests through our website by the deadline. View fees.

Schools and Individuals/Home Schools that have not registered for previous contests are encouraged to participate, and can start by filling out either a New School Application form or a New Individual/Home School Application form.

Contest Preparation

We recommend that students spend some time preparing for our contests by trying to solve problems. Many teachers use past contests in the classroom and the CEMC problem set generator allows anyone to create random sets of problems with the option to customize the topics covered.

Results and Recognition

Results booklets (Pascal, Cayley, Fermat) and averages and cutoffs are online.
Teachers can access their students' results and generate certificates.

We recognize top-performing students and schools.