CEMC, University of Waterloo · Canada
Cayley practice
Grade 10 CEMC contest: a step up from Pascal, with harder algebra and geometry in Parts B and C.
Contest facts
- Who can write:
- Grade 10
- Format:
- 25 questions: Parts A and B multiple-choice (10 each), Part C integer answers from 0 to 99 (5)
- Time limit:
- 60 minutes
- Calculator:
- Calculating devices allowed, except devices with internet access, communication with other devices, previously stored information, a computer algebra system, or dynamic geometry software
- Dates:
- 23-24 Feb 2027
- Scoring:
- Correct answers earn their Part points, 2 per blank answer (up to 10 blanks), 0 per wrong answer, 150 points maximum
Topics: Grade-10 curriculum, Harder algebra, Geometry. Official information: CEMC, University of Waterloo
About these questions
Every question on this page is original: written for this site in the style of the Cayley contest, never copied from a past paper. Each question passed an independent second solve before publication, and every answer comes with a full worked solution and the most common mistake.
Practice one question at a time, take the timed mock under the real contest clock, or print the set with its answer key. Progress is saved in your browser only; there is no account.
Practice engine
Question 1 of 50 · Part A · Quadratic equations · 5 points · Calculating devices allowed, except devices with internet access, communication with other devices, previously stored information, a computer algebra system, or dynamic geometry software
What is the larger solution of x² − 5x + 6 = 0?
Progress is saved only in this browser. There is no account and nothing is sent to us.
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