More study resources

About this exam

CEMC refers to the mathematics contests and assessments written by the Centre for Education in Mathematics and Computing at the University of Waterloo. Students in elementary through high school take them to measure their problem-solving ability against a widely used Canadian standard, and strong results are often cited in scholarship and enrichment applications. The papers reward insight over memorization: expect algebra and functions, geometry and trigonometry, number theory and discrete mathematics, sequences and limits, combinatorics and probability, and general mathematical reasoning woven through multi-step problems. Most items are multiple choice, with later questions in a paper designed to separate the top scorers. Because the contests are written under time pressure and calculators are restricted in several divisions, preparation means practicing full papers under timed conditions, then reviewing every wrong answer to find the underlying gap rather than the arithmetic slip. Work through past contests in increasing difficulty, keep an error log, and drill the topics where you lose the most marks. The CEMC publishes current dates, formats, and eligibility rules for each contest on its own website; always confirm details there before registering, as these change from year to year.

What you'll study

Common questions

About CEMC preparation

Who writes and administers the CEMC contests?

They are produced by the Centre for Education in Mathematics and Computing at the University of Waterloo. Schools register students and supervise the writing. This page is independent study material and is not affiliated with or endorsed by the CEMC or the university.

What format are the papers?

Most CEMC contests are multiple choice, with a small number of written-answer problems in some divisions. Questions generally ascend in difficulty, so early items test fluency and later ones test genuine insight. Confirm the exact structure for your specific contest on the CEMC site.

How long is the exam and how many questions are there?

It varies by contest and division, and the CEMC adjusts these details periodically. Rather than rely on a secondhand number, check the official contest page for the current question count and time allowance before you plan your pacing practice.

How hard is it really?

Early questions are approachable for a well-prepared student; the final few are deliberately hard and are meant to be missed by most writers. The scoring curve reflects that. Aim to bank the easy and middle questions cleanly, then spend remaining time on the last problems.

Can I retake a contest?

Each contest is offered once per year, so a retake means waiting for the next cycle or entering a higher division the following year. There is no same-year resit. Check the CEMC site for the current schedule and eligibility rules for your grade.

Are calculators allowed?

Rules differ by contest and division, and several papers prohibit calculators entirely. Assume no calculator unless the official rules for your specific contest say otherwise, and practice accordingly, since mental arithmetic speed matters under time pressure.

What is the best study order?

Start with full past papers under timed conditions to find your weak topics. Then drill those topics in isolation, return to timed papers, and repeat. Keep an error log categorizing each mistake as concept, setup, or arithmetic. This cycle beats reading solutions passively.

What are the most common ways students lose marks?

Running out of time on early questions, misreading what is being asked, and refusing to skip a stubborn problem. Another frequent failure is guessing without eliminating options. Practice abandoning a question after a set time and returning only if time remains.

Do I need to know material beyond my grade level?

Not usually, but the harder problems combine grade-level ideas in unfamiliar ways. Comfort with number sense, algebraic manipulation, and basic counting helps enormously. Enrichment beyond the syllabus is useful for the top few questions, not the bulk of the paper.

How do I register and what does it cost?

Registration normally goes through your school, which handles fees and administration. The CEMC publishes current fees, dates, and registration procedures on its official website, and those figures change, so verify them there rather than relying on any summary.