Why You Must Choose Euclid? A Summary of Euclid Contest Registration Methods! Your Euclid Preparation Guide is Here!

The Euclid Mathematics Contest is an international high school mathematics competition organized by the University of Waterloo in Canada. Renowned for its high academic standards, strong connection to university admissions, and significant weight as a reference for undergraduate admission to the University of Waterloo, it is often called the "TOEFL of Mathematics." This article will detail the registration methods, core advantages, difficulty range, and phased preparation strategies for the Euclid Contest, helping you efficiently prepare for the April 2026 exam.

I. Euclid Contest Registration Methods

1. School Group Registration

Eligible Participants: Students whose schools are official Euclid in-person test centers.

Process: Registration is organized and completed uniformly by the school. Individual self-registration is not supported.

Suggestion: Directly consult your school's math teacher or the teacher in charge of competitions for details.

For Canadian local students: You can register directly through your school.

2. Agency Agent Registration

Eligible Participants: Students whose schools are not Euclid contest test centers.

Process: Register through an authorized agency partnered with the contest.

Suggestion: Contact a teacher at a relevant agency for consultation and to obtain registration eligibility.

We are an official authorized test center and can provide agent registration services.

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II. Why You Must Choose Euclid?

1. Canada's "TOEFL of Mathematics," Highly Recognized by Elite Schools

Reference for North American University Admissions: Excellent results significantly enhance competitiveness when applying to top institutions like the University of Waterloo, University of Toronto, UBC, and McGill University.

High Global Recognition: Especially suitable for students without AMC scores, serving as supplementary academic material for STEM pathways.

2. Direct Link to Scholarships

Priority for University of Waterloo Entrance Scholarships: High-scoring students have opportunities to receive substantial scholarships, achieving "advancement and funding through competition."

3. Moderate Difficulty, Excellent Value

Focus on Logical Thinking: Unlike some competitions that emphasize knowledge beyond the syllabus, Euclid places greater importance on logical thinking, problem-solving steps, and mathematical expression.

Easy to Score with Systematic Training: With systematic preparation, most students can achieve impressive results, making it suitable for the majority of high school students aiming for a Sprint.

III. Euclid Difficulty Range and Benchmarking

1. Overall Difficulty Positioning

Ranges between AMC10 and AMC12, significantly lower than AIME, slightly harder than the later part of AMC10, and easier than the challenging final problems of AMC12.

Difficulty Curve: Gentle at the start, steep later, with a "cliff-like" rise:

Questions 1–5: "Gimme questions" – attainable with a solid foundation.

Questions 6–8: "Turning point" – require flexible application of in-class knowledge.

Questions 9–10: "Master zone" – test Olympiad-level thinking and技巧.

2. Knowledge Scope

Covers core high school mathematics areas: Algebra, Geometry, Number Theory, Combinatorics, Functions, Trigonometry, etc.

No calculus/linear algebra, but the depth of exploration into fundamental concepts and module integration far exceeds the standard curriculum.

Typical Question Types: Exponential and logarithmic operations, solving functions, analytic geometry, trigonometric simplification, recursive sequences, circle geometry problems, etc.

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IV. Euclid Preparation Guide: Phased Guide

Phase 1: Foundation Building

Quickly Scan Knowledge Points:

Core Resource: Past papers and solutions from the University of Waterloo official website.

Task: Quickly review core high school math Knowledge Points, ensuring no knowledge blind spots.

Practice First 8 Questions of Past Papers:

Goal: Master the logic of basic question types, improve accuracy in reading problems.

Task: Intensively practice the first 8 questions of past papers from 2015-2020, while memorizing essential math English vocabulary.

Create a Categorized Error Log:

Mark Error Causes: Such as unclear concepts, calculation mistakes, unclear problem-solving Thinking, etc.

Focused Breakthrough: Conduct Special Topic training for weak modules (e.g., constructing auxiliary lines in geometry).

Phase 2: Skill Enhancement

Focus on Comprehensive Question Types:

Target Questions: Questions 6-9 of past papers.

Method: Refine core models like substitution method and case analysis to form General problem-solving approaches.

Tackle Difficult Modules:

Focus on Conquer: Difficult areas like Number Theory and Combinatorics.

Task: Combine practice with similar problems from other contests to enhance problem-solving ability in complex scenarios.

Standardize English Solution Steps:

Requirement: Ensure clear derivation to avoid losing process points.

Structure: Write solutions following the "Given → Reasoning → Conclusion" format.

Phase 3: Final Sprint (March 26 – Before Exam)

Full-Length Mock Exams to Adapt to Pace:

Task: Use past papers from the last 5-10 years for timed mock exams (150 minutes), simulating exam conditions.

Time Allocation: Aim to complete Questions 1-7 within 90 minutes, leaving sufficient time for the challenging final problems.

Strategy to Maximize Points on Final Problems:

Priority: Tackle the first two sub-questions of Question 10.

Task: Organize your Thinking and list relevant formulas, striving for every possible point.

Review and Optimize Exam Strategy:

Check Against Scoring Guidelines: Correct issues with solution steps and time allocation.

Optimize Strategy: Adjust question order and time management based on mock exam performance.

Euclid Mathematics Contest registration is in full swing! Scan the QR code to inquire about Agent registration details!

Scan and send [Grade + School + Curriculum System]

Get free access to past paper solutions (1998-2025), essential formulas, and categorized question banks!

Categorized question booklets + preparation materials

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Euclid Mathematics Contest 2026 Comprehensive Guide! A Complete Compilation of Exam Content, Weight Distribution & Question-Specific Answering Strategies!

As the registration deadline for the first half of 2026 Euclid Mathematics Contest approaches, high school students around the globe are gearing up for this grand mathematical competition. Hosted by the University of Waterloo in Canada, this contest is hailed as the "TOEFL of the mathematics world," widely recognized for its high value, rigorous assessment standards, and rich challenges that attract countless math enthusiasts.

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I. Basic Contest Information (2026 Season)

Item Details
Organizer CEMC, University of Waterloo, Canada
Registration Deadline March 5, 2026 (Schools are advised to complete registration 1–2 weeks in advance)
Exam Date • North & South America: Tuesday, March 31, 2026
• Other Regions (including China): Wednesday, April 1, 2026
Exam Format In-person paper-based exam (organized by authorized test centers)
Exam Duration 2.5 hours
Question Types & Scoring 10 short-answer questions, total 100 points.
• Some questions contain (a)(b) sub-questions.
• Must write the complete solution process (answers alone receive no points).
Score Release 5–6 weeks after the contest (expected mid-to-late May 2026)

II. Suitable Participants

Students with Clear Goals:

Planning to apply to Canada's Top 5 universities (U of T, UBC, McGill, Waterloo, McMaster).

Intending to apply to the University of Waterloo's Faculty of Mathematics, Computer Science, Engineering, Actuarial Science, or Business School.

Aiming to compete for undergraduate scholarships through contest scores (Waterloo has specific scholarship thresholds for Euclid scores).

Students Seeking Background Enhancement:

G10–G12 students wanting to add a high-value academic credential to their applications for UK, US, or Canadian universities.

Students with a solid math foundation (equivalent to domestic Grade 12 / Canadian Grade 12 level) but who have not participated in high-level contests like AIME.

Students Seeking High Value for Effort:

Compared to AIME (average score only 4–5/15), achieving 75+ in Euclid is more attainable, and its recognition in Canada is extremely high.

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III. Exam Content and Weight Distribution

The Euclid contest's knowledge points are highly stable, focusing on core high school mathematics + logical expression:

Module Proportion High-Frequency Topics
Plane Geometry & Analytic Geometry ≈35% Triangle properties, circle power theorems, finding area using coordinate method, vector applications, proving比例 divisions
Algebraic Operations ≈30% Solving equations, inequalities, function properties, sequences (arithmetic/geometric), polynomials (factoring, relationship between roots and coefficients)
Permutations, Combinations & Probability 必考 (Always tested) Basic counting principles, probability models (often combined with Number Theory/Algebra, appearing in Q5–Q10)
Trigonometry ≈1 question Trigonometric identity transformations, solving triangles (an advantage area for Chinese students)
Number Theory 1–2 questions Prime numbers, GCD/LCM, modular arithmetic, Diophantine equations (often appear in Q9–Q10)
Functions & Logarithms Interspersed Inverse functions, composite functions, logarithm change of base formula

Exam Characteristics:

Does not test Calculus, Complex Numbers, or Solid Geometry.

Emphasizes writing the process: Even if the final answer is incorrect, a clear logical process can earn partial marks.

Strongly comprehensive in challenging problems: Q8–Q10 often integrate 2–3 modules (e.g., "Sequences + Number Theory," "Geometry + Algebra").

IV. Question-Specific Answering Strategies (Breaking Through the 10 Questions Step by Step)

Q1–Q4: Basic Questions (Goal: All Correct)

Characteristics: Direct application of formulas, calculation-focused.

Strategy:

Intensify speed training, aim to complete the first 4 questions within 10 minutes.

If English reading is challenging, familiarize yourself with question stems from past papers (last 5 years) in advance and accumulate high-frequency expressions.

Q5–Q7: Intermediate Questions (Goal: Score 70%+)

Characteristics: Require simple modeling or case discussions.

Strategy:

Sub-questions are independent: If you can't solve (a), you can skip directly to (b).

Avoid brute-force calculation: Complex equations must have a clever solution (e.g., symmetry, substitution, factorization).

Write clearly and normatively: Even if you get stuck, write down the given conditions and your attempted approach.

Q8–Q10: Challenging Problems (Goal: Grab Process Points)

Characteristics: Highly comprehensive, require deep thinking.

Strategy:

Priority: Ensure accuracy on the first 7 questions before tackling these.

Write down key steps: E.g., "Let the common ratio be r," "From the Pythagorean theorem we get…".

Time allocation: Spend ≤15 minutes per question. Stop if time is exceeded and go back to check basic questions.

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