University of Waterloo CEMC contests · Grades 7 to 12 · 2026-27 dates published

CEMC Waterloo contest preparation, live online: Gauss, Pascal, Cayley, Fermat, Fryer, Galois, Hypatia and Euclid, with the real dates and the real rules.

More than 300,000 students from over 85 countries write a CEMC contest every year, and the Centre publishes every 2026-27 date in advance, including a separate ordering deadline for schools in India. Two things decide results: whether a student can move fast through a multiple-choice paper, and whether they can write a solution that a marker will credit. Most preparation drills the first and ignores the second. Our batches of five to ten, grouped by grade, do both, on CEMC's own past contests, counting back from the date your school has ordered.

Live online · 100% online · batch of 5 to 10 · grouped by grade · first class free

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The courses the Waterloo batches are built from

CEMC sets its papers on the school curriculum up to each grade, plus problems that need an idea nobody taught. The base is our live maths course for the grade band; the full-solution habit comes from the olympiad course.

Ans. The short version

The CEMC contests are the University of Waterloo's family of mathematics contests: Gauss for Grades 7 and 8, Pascal, Cayley and Fermat for Grades 9 to 11, Fryer, Galois and Hypatia as their full-solution counterparts, Euclid for Grade 12, and the Canadian Senior and Intermediate contests. Every 2026-27 date is published: Pascal, Cayley and Fermat on 24 to 25 February 2027 outside the Americas, Euclid on 7 April, Fryer, Galois and Hypatia on 8 April, Gauss in the 10 to 21 May window, with dates one day earlier in North and South America. Entry is through a school that holds a CEMC account; students cannot register individually and contests are written in a classroom under supervision. Modern Age Coders prepares students for them live online in batches of five to ten grouped by grade: one class a week on the mathematics and the multiple-choice technique, one on timed practice and full-solution writing using CEMC's own past contests. The first class is a free demo, and the group batch fee is shown on this page in your own currency.

Q1. Which contest, on which date, in what shape?

The 2026-27 CEMC contests, straight from the organiser

Everything below is taken from the CEMC contest table and rules pages on cemc.uwaterloo.ca, read on 22 September 2026. Dates outside North and South America are shown; the Americas write one day earlier.

ContestGradesDate (outside the Americas)Shape
Canadian Senior and Intermediate (CSMC, CIMC)9 to 1219 November 2026 (Americas: 18 November)Short answer and full solution
Pascal, Cayley, Fermat9, 10, 1124 to 25 February 2027 (Americas: 23 to 24 February)Multiple choice, auto-marked
Canadian Computing Competition (CCC)9 to 1218 February 2027 (Americas: 17 February)Programming; see our CCC page
Euclid127 April 2027 (Americas: 6 April)2.5 hours, out of 100, short answer and full solution, some calculators permitted
Fryer, Galois, Hypatia9, 10, 118 April 2027 (Americas: 7 April)Full solution, written individually on paper
Canadian Team Mathematics Contest (CTMC)9 to 1213 to 14 April 2027Team event
Gauss7 and 810 to 21 May 2027 (a window, same everywhere)Multiple choice, auto-marked
Ordering deadlinesAllPascal, Cayley, Fermat: India 27 January 2027, other overseas 2 February, Canada 9 February. Euclid and FGH: 11 March 2027. Gauss: 22 April 2027The school orders; the deadline is the school's
How to enterAllThrough a school with a CEMC School Account. "It is not possible for students to individually register for a contest." Written in a classroom under supervision, never remotely.CEMC's own words
Fee paid to CEMC (via the school)AllEuclid page: $18 per participant, $5 processing per order, and for schools outside Canada a shipping fee of 15% of the order (minimum $10). CEMC's published figures, charged to the school, not the family.Canadian dollars

Read that table and one fact stands above the rest: nobody can enter alone. A student writes a CEMC contest only at the school that ordered it, and if the school does not take part, CEMC's own advice is to "look for another local school that will allow them to join as a participant." So the first conversation is with your school's head of mathematics, and our first question on the call is which contest the school has ordered and for which date, because the plan counts back from it.

A naming trap to avoid: CEMC's Cayley Contest, for Grade 10, is not the UK Mathematics Trust's Cayley Olympiad. Two organisers, one surname, two different papers. Our Cayley, Hamilton and Maclaurin page is about the UK one; this page is about Waterloo.

Q2. What separates a good score from a top one?

Two skills, and the one most students never practise

CEMC runs two kinds of paper under one name. The multiple-choice contests reward speed and elimination; the full-solution contests reward a written argument. A student can be strong at one and lose most of the marks on the other.

Multiple choice

Gauss, Pascal, Cayley and Fermat

Auto-marked papers with a familiar shape: easier questions first, then a few that need an idea from outside the syllabus. The skill is pace, elimination, and knowing when a question is not worth the minutes. We drill both the mathematics and the clock, because a correct method that takes too long scores the same as no method.

Full solution

Fryer, Galois and Hypatia

Written on paper, marked by a person. CEMC says each solution "is assessed for completeness, clarity, and presentation style; a correct solution, poorly presented, will lose marks." That sentence is the whole reason these papers need separate preparation: the answer is not the mark, the argument is.

The capstone

Euclid, Grade 12

Two and a half hours, out of 100, a mix of short-answer and full-solution questions, some calculators permitted, content "up to and including the final year of secondary school" with problems that go beyond it. Universities notice it. It rewards the student who can do both kinds of paper in one sitting.

The senior pair and the team event

CSMC, CIMC and CTMC

The Canadian Senior and Intermediate contests in November mix short answers with full solutions for Grades 9 to 12, and the Team contest in April is written as a group. CEMC also runs invitational tiers above these; the route to them runs through the contests on this page.

Question counts and mark schemes per paper are on CEMC's own contest pages and past papers, which we use in class rather than reproduce here. What every student sees on the first day is the real paper for their grade, from CEMC's archive, with a clock. Students who want the proof-writing side taken further sit in our olympiad mathematics course, and Grade 7 to 8 students still building the base use elementary maths alongside.

Q3. Why the argument is the mark on a full-solution paper

The same question, answered by two students

A Fryer-style question: "Show that the sum of any three consecutive integers is divisible by 3." Both students below know it is true. Only one of them earns the marks.

The answer without the argumentan example, not a proof
Take 4, 5 and 6.
4 + 5 + 6 = 15
15 / 3 = 5, so it works.

Take 10, 11, 12: sum 33, 33 / 3 = 11.
It always works.

# Marker: two examples show it worked
# twice. They do not show it always
# works. Most of the marks are gone.

Correct instinct, no argument. On a multiple-choice paper this student would have circled the right letter. On Fryer, Galois or Hypatia the page is nearly blank to a marker.

The argumentwritten in class, every week
Let the integers be n, n + 1 and n + 2,
where n is any integer.

Sum = n + (n + 1) + (n + 2)
    = 3n + 3
    = 3(n + 1).

Since n + 1 is an integer, the sum is
3 times an integer, so it is divisible
by 3 for every choice of n.

# Four lines. Complete, clear, general.

Same fact, same student a few months later. Naming the integers, computing the sum, factoring, and saying why the factor matters: that is what "completeness, clarity, and presentation style" means in practice.

Every full-solution contest has a version of this. Teaching a student to find the answer takes weeks; teaching them to write the argument takes months, which is why our plan starts it in the second month and never stops.

Q4. How does the batch prepare?

Five steps, counted back from the contest your school ordered

Two live classes a week. One on the mathematics and the technique for the paper's shape, one on timed practice from CEMC's own past contests, reviewed question by question the next class.

  1. A placement paper in the first week, on the real contest for the grade

    CEMC publishes its past contests and solutions, so the placement is a genuine Gauss, Pascal, Cayley, Fermat or Euclid paper, sat alone with the clock, then walked through together. It tells the teacher which topics will earn the marks and which will lose them, and it tells you where your child stands before any preparation.

  2. The curriculum first, because the paper is built on it

    Every contest is set "based on curricula up to and including" the grade, plus a few problems that need an outside idea. The base course for the grade band is taught alongside the contest work, so the student is not preparing for a contest on top of a gap.

  3. Multiple-choice technique with a clock, every week

    Elimination, order of attack, when to leave a question and when to return. On Gauss, Pascal, Cayley and Fermat a slow correct method and a fast one score the same, so we time everything from the first month.

  4. Full-solution writing from the second month

    One argument a week, written, handed in, marked the way CEMC marks: completeness, clarity, presentation. For students entered in Fryer, Galois, Hypatia or Euclid this becomes half of every class by the third month.

  5. Two full timed rehearsals, then the real paper

    The last four weeks before the school's date are past contests under contest conditions, reviewed line by line. Students walk into the classroom having already sat the paper twice.

Timings are after-school and weekend slots in Indian Standard Time, fixed on the call once we know the grade and the contest, and families abroad on the same calendar join the same batches. The fee for families outside India is shown in your own currency on this page.

Q5. Is this batch right for my child?

Who it suits, and who it does not

It suits

A Grade 7 to 12 student whose school orders CEMC contests, or can be persuaded to, and who wants to write the paper prepared rather than surprised. A student strong at school maths who has never met a problem that needs an idea from outside the textbook. A family aiming at Euclid in Grade 12 who wants the full-solution habit built early.

It also suits

A student who wrote Pascal or Cayley last year on instinct and wants Fermat or a full-solution contest this year. An Indian school cohort ordering before the 27 January deadline. A family in Canada, the Gulf, Singapore or the UK on the same CEMC calendar who wants an English-medium batch at an evening hour in their own time zone.

It does not suit

A student whose school will not order a contest and cannot find a participating local school, because there is no individual entry and we will not pretend otherwise. A student aiming at the IOQM and INMO proof pathway in India, who needs our olympiad course rather than this batch. A family looking for a two-session crash the week before the date.

Q6. What does it cost?

Monthly fees, the same for every course we teach

Billed monthly, no admission fee, stop at any month end. The free demo class comes first, or book a Priority Live Demo for a full class today or tomorrow.

Group batch · by grade band

₹1,499

per month

  • Five to ten students, in the same grade band
  • Two live classes a week, mathematics and timed contest practice
  • Placement paper, weekly marked solutions, two full rehearsals
  • Certificate on completion
Book the free demo

Mini batch

₹2,999

per month

  • Three to four students
  • Timings agreed around the family
  • More marked full-solution writing per student
Ask about timings

One to one

₹4,999

per month

  • Private teaching on your own schedule
  • Pace set by the student, not the batch
  • The usual choice when the school's date is close
Enquire

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Related pages

The other contests, and the maths underneath them

CEMC's programming contest, the American and Indian pathways, and the live courses this batch is built on.

Questions parents ask

About the CEMC contests and the preparation batch

Can I register my child for a CEMC contest directly?

No. CEMC states that "it is not possible for students to individually register for a contest," that every student takes part through their school, and that contests are written in a classroom under the supervision of school staff, never remotely. A school applies for a CEMC School Account through its principal or head of mathematics and orders the contest. If your school does not take part, CEMC suggests finding a participating local school that will let your child join. We prepare students for the paper; we cannot enter them for it.

What are the CEMC dates for 2026-27?

Outside North and South America: the Canadian Senior and Intermediate contests on 19 November 2026, Pascal, Cayley and Fermat on 24 to 25 February 2027, Euclid on 7 April 2027, Fryer, Galois and Hypatia on 8 April 2027, and Gauss in the window of 10 to 21 May 2027. In the Americas each date is one day earlier. CEMC published the whole table on its site; we read it on 22 September 2026.

Is there a special deadline for schools in India?

Yes. For Pascal, Cayley and Fermat, CEMC lists a separate ordering deadline for schools in India, 27 January 2027, ahead of 2 February for other overseas schools and 9 February for Canada. Euclid and the Fryer, Galois and Hypatia contests must be ordered by 11 March 2027, and Gauss by 22 April 2027. These are the school's deadlines, so tell your coordinator early.

Which contest is right for my child's grade?

Gauss is for Grades 7 and 8. Pascal is the Grade 9 contest, Cayley Grade 10 and Fermat Grade 11, each multiple choice, with Fryer, Galois and Hypatia as the full-solution papers for the same three grades. Euclid is for Grade 12. CEMC allows a student working ahead to write the contest for a more advanced grade. We batch by grade band and help you choose on the call.

Is CEMC's Cayley Contest the same as the UKMT Cayley Olympiad?

No. The University of Waterloo's Cayley Contest is a multiple-choice paper for Grade 10 written in February. The UK Mathematics Trust's Cayley is one of its Intermediate Mathematical Olympiad papers, a proof paper reached through the Intermediate Challenge. Same surname, different organisers, different papers, different dates. This page is about Waterloo; our separate page covers the UK one.

What is the Euclid Contest like?

CEMC describes it as 2.5 hours, scored out of 100, with a mix of short-answer and full-solution questions, some calculators permitted, and content based on curricula up to the final year of secondary school with some problems that need an idea beyond it. It is the Grade 12 capstone, and the paper universities most often mention, so it is the one we prepare hardest for.

How are the full-solution contests marked?

By people, against a written standard. CEMC says each solution "is assessed for completeness, clarity, and presentation style; a correct solution, poorly presented, will lose marks." That is why our batches write one marked argument a week from the second month: a student who can find the answer but not explain it loses most of the marks on Fryer, Galois, Hypatia and the full-solution half of Euclid.

Do you use CEMC's past contests?

Yes, for practice, because CEMC publishes its past contests and solutions on its own site for exactly that purpose. We use the real papers for placement, weekly practice and the two full rehearsals, and we send families to CEMC's own archive rather than reproducing papers here. Every past paper a student sits is reviewed question by question in the next class.

Does this help with AMC, IOQM or other contests?

The multiple-choice technique transfers directly to AMC 8, 10 and 12, and the full-solution writing is the same skill the IOQM to INMO pathway and the UK olympiads demand. Students in our olympiad course often sit CEMC contests as milestones. If your child's goal is the Indian pathway or the American one, we will say so on the call and point you to the right batch.

What happens after I send the form?

A mentor calls within a few hours, asks which grade your child is in and which contest the school has ordered or could order, and books a free demo class at a time that suits you. The demo is a real session: a handful of questions from a past CEMC paper for the grade, worked live, with the teacher showing the reasoning rather than the answer key. There is no card, no enrolment fee and no pressure on the call.

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The free demo is a real past-paper session

Book it and your child joins a live session on a CEMC paper for their grade: a few multiple-choice questions attacked with a clock, one full-solution question written out together, and the honest verdict on where they stand. You watch from the next chair. If you would rather see a full 45-60 minute class today or tomorrow, book a Priority Live Demo instead; its fee is adjusted against your first month if you enrol.

Read first instead? The maths challenges guide compares the contests students sit, and the CCC page covers CEMC's programming contest on 18 February 2027.

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