Euclid Mathematics Contest — A contest you do not answer. You argue it.
Ten problems, two and a half hours, one hundred marks — and the marks follow the writing. The Euclid’s full-solution problems are graded step by step for completeness, clarity and presentation. This guide teaches the argument.
The Euclid is the flagship Grade-12 contest of the CEMC, University of Waterloo, written by around 25,000 students worldwide each April.
A problem graded on the written argument: step marks for completeness, clarity and presentation — not the final answer alone.
The certificate awarded to the top 25% of writers worldwide; in 2026 that meant roughly 66 of 100 against an average of 52.2.
Sitting: April 6–7, 2027. Registration closes March 11, 2027 — a month before the paper.
Three propositions, then the proof
What the Euclid is
The CEMC’s flagship Grade-12 paper: ten problems across 2.5 hours, mixing short answers with full-solution problems drawn from final-year mathematics — geometry, algebra, trigonometry, logarithms, sequences, number theory.
Written at school, on paper, individually; some calculators permitted.
Read Prop. I ∎Who should write it
Final-year students with serious mathematical ambition — including international-curriculum students across China. Strong Euclid results are weighed in University of Waterloo Mathematics admissions and entrance scholarships.
If your applications lean on mathematics, this paper is evidence.
Read Prop. II ∎How scoring works
One hundred marks, earned in steps. Graders reward completeness, clarity and presentation — a well-written partial solution routinely outscores a right answer with no reasoning shown.
2026: average 52.2; Certificate of Distinction from roughly 66+.
Read Prop. III ∎One paper, seven books
Everything on the Euclid is based on final-year secondary mathematics. The challenge is depth, not scope — familiar territory, argued further than school ever asks.
The 2026–27 season, in order
Registration opens
Schools begin ordering papers for the 2026/27 contest year.
Ordering deadline
The hard stop — orders close a full month before the paper is written.
Hard deadlineThe sitting
April 6 across the Americas; April 7 everywhere else. Written at school, on paper.
Results & certificates
Averages and distinction lines are published; certificates, medals and honour rolls follow.
Strong Euclid results are weighed in University of Waterloo Faculty of Mathematics admissions — and in the entrance scholarships that follow.
One of the few pieces of evidence every applicant earns under identical conditions — read alongside the transcript, not instead of it.
Contest performance is part of the entrance-scholarship calculus at the Faculty of Mathematics.
Where the distinction line fell
all writers worldwide
Certificate of Distinction
Awarded to the top 25% of all writers worldwide — roughly 66 marks and above in 2026.
Contest Medal
Struck for each school’s champion — the strongest paper written in the building.
Honour Rolls
National and international honour rolls record the highest-standing writers of the year.
Recently recorded
Open the full chronicle →-
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One scan, four offers
Add the Euclid desk on enterprise WeChat and take the whole package in one chat.
1998–2026 past papers, free — contests, solutions and categorized question banks.
9.9 RMB trial lesson — one full placed lesson before any course decision.
2027 registration service — an authorized test-centre seat, paperwork handled.
488 / 888 RMB scholarships — desk-registered writers reaching Distinction / honour rolls.
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