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As the registration deadline for the first half of 2026 Euclid Mathematics Contest approaches, high school students around the globe are preparing for this grand mathematical competition. Hosted by the University of Waterloo in Canada, this contest is hailed as the "TOEFL of Mathematics." It is widely recognized not only for its high value but also attracts numerous math enthusiasts due to its rigorous assessment standards and rich challenges.

I. Basic Contest Information (2026 Season)

II. Target Audience

Those with Clear Goals:

Planning to apply to Canada's Top 5 universities (Toronto, UBC, McGill, Waterloo, McMaster).

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

Aiming to use contest results to compete for undergraduate scholarships (Waterloo has specific Euclid score thresholds for scholarships).

Those Seeking Background Enhancement:

Grade 10–12 students wanting to add high-value academic credentials to their applications for UK, US, or Canadian universities.

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

Those Seeking High Value for Effort:

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

III. Exam Content and Weight Distribution

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

Exam Features:

Does not test calculus, complex numbers, or solid geometry.

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

Strong comprehensiveness in final questions: Q8–Q10 often integrate 2–3 modules (e.g., "Sequences + Number Theory," "Geometry + Algebra").

IV. Question-Specific Answering Strategies (Progressive Breakdown of the 10 Questions)

Q1–Q4: Foundational Questions (Goal: Perfect Score)

Features: Direct application of formulas, mainly calculation.

Strategy:

Strengthen speed training; aim to complete the first 4 questions within 10 minutes.

If English reading is challenging, familiarize yourself with the wording of questions from the last 5 years' past papers in advance to build a vocabulary of common expressions.

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

Features: Require simple modeling or case discussion.

Strategy:

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

Avoid brute-force calculation: Complex equations often have clever solutions (e.g., using symmetry, substitution, factorization).

Write clearly and standardly: Even if your train of thought stalls, write down the given conditions and your attempted approaches.

Q8–Q10: Challenging Questions (Goal: Secure Partial Marks)

Features: Highly comprehensive, require deep thinking.

Strategy:

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

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

Time management: Spend no more than 15 minutes on each of these questions. Stop if you exceed the time limit and return to review the foundational questions.

Euclid Math Contest registration is now open! Scan the code to inquire about Agent Registration (agency registration) details!

Scan the code and send [Grade + School + Curriculum System]

Free access to past papers and solutions (1998-2025) + Essential Formulas + Categorized Question Banks!

Categorized Exercise Booklets + Competition Preparation Books

The Euclid Mathematics Contest, hosted by the Faculty of Mathematics and Computer Science at the University of Waterloo, Canada, is one of the world's most influential high school mathematics competitions. Renowned for its high academic standards, strong university preparation alignment, and direct reference value for University of Waterloo undergraduate admissions, it is hailed as the "SAT for Mathematics" and the "Golden Ticket for Canadian Science and Engineering Applications."

This article will systematically analyze the Euclid Contest's format, question type distribution, difficulty gradient, and award structure, and provide a phased preparation strategy to help you progress from building a strong foundation to achieving high scores, effectively preparing for the April 2026 exam.

I. Basic Euclid Contest Format

Key Features:

The first 5 questions are foundational, the last 5 are advanced, with difficulty increasing progressively.

The final challenging questions (#9–10) often involve Olympiad-level thinking, distinguishing top students.

High weightage for step-by-step solutions: "Write whatever you can solve" to earn partial marks.

II. Six High-Frequency Core Question Types (Based on the last 10 years of past papers)

Euclid questions cover core areas of high school mathematics. The following six types appear almost every year:

Trends:
In recent years, there has been an increase in comprehensive cross-module questions, such as "using trigonometry to solve geometric optimization problems" or "sequences combined with function iteration."

III. Question Difficulty Gradient Analysis (Layer 10 Questions)

Key to Winning Awards:
Securely score 70+ points on the first 8 questions, and strive for partial marks on the last 2 questions → Total score 80+ = Top 5% globally!

IV. Award Structure and Value

Value for Higher Education:

University of Waterloo: Euclid results are directly used in admissions evaluations for Engineering, Computer Science, and Mathematics programs.

UK/US Universities: Can serve as supplementary material demonstrating academic ability in STEM fields (especially beneficial for students without AMC scores).

Global Recognition: Complements contests like AMC12 and AIME, showcasing rigorous mathematical literacy.

Euclid Math Contest registration is now open! Scan the code to inquire about Agent Registration (agency registration) details!

Scan the code and send [Grade + School + Curriculum System]

Free access to past papers and solutions (1998-2025) + Essential Formulas + Categorized Question Banks!

Categorized Exercise Booklets + Competition Preparation Books

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.

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.

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

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.

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.

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.

The Euclid Mathematics Contest, hosted by the Faculty of Mathematics and Computer Science at the University of Waterloo in Canada, is one of the world's most influential high school mathematics competitions. Due to its high academic standards, strong connection to university academics, and direct reference value for University of Waterloo undergraduate admissions, it is hailed as the "SAT of the mathematics world" and the "golden stepping stone for Canadian STEM applications."

This article will systematically analyze the Euclid Contest's format characteristics, question type distribution, difficulty gradient, award settings, and provide a phased award-winning preparation strategy to help you move from foundation building to high-score breakthroughs, efficiently preparing for the April 2026 exam.

I. Basic Format of the Euclid Contest

Item	Details
Organizer	University of Waterloo, Canada (CEMC)
Exam Format	Written exam (paper-based or computer-based, depending on the test center)
Exam Duration	2.5 hours (150 minutes)
Number of Questions	10 long-answer questions, each containing 2–3 sub-questions
Total Score	100 points (10 points per question, marks awarded for steps)
Question Type Requirements	Short answer + full solution questions: Must write the complete reasoning process; answers alone receive no points.
Exam Language	English (Chinese can be used for rough work/drafts, but the final answer must be in English)

Key Features:

The first 5 questions are basic, the last 5 are advanced, with difficulty increasing in a stepped manner.

The most challenging problems (Questions 9–10) often involve Olympiad-level thinking, distinguishing top students.

High weight on step-by-step marks: "Write down whatever you know" to score points.

II. Six High-Frequency Core Question Types (Based on Past Papers from the Last 10 Years)

Euclid questions cover core high school mathematics areas. The following six types appear almost every year:

Question Type	Core Content	Score Proportion	Student Pain Points
1. Logarithms & Exponents	Rules of operation, change of base formula, exponential equations	≈15–20 points	Confusing logarithm properties, neglecting domain restrictions
2. Functions & Equations	Polynomials, quadratic functions, solving equations, function graphs	≈15 points	Neglecting case discussions, incomplete solutions
3. Analytic Geometry	Line/circle equations, distance formula, calculating intersection points	≈10–15 points	Calculation errors, unclear geometric meaning
4. Trigonometry	Simplification, proving identities, solving trigonometric equations	≈10–15 points	Weak area for most students, confusion with formula memorization
5. Sequences & Series	Arithmetic/geometric, recurrence relations, summation techniques	≈10 points	Difficulty modeling recurrences, limited summation methods
6. Circle Geometry	Circle power theorems, tangent properties, angle relationships	≈10 points	Inability to construct auxiliary lines, rigid application of theorems

Question Trends: In recent years, there has been an increase in cross-module comprehensive questions, such as "using trigonometry to solve geometric optimization problems" or "sequences + function iteration."

III. Analysis of Question Difficulty Gradient (Layering of 10 Questions)

Question Numbers	Difficulty Level	Ability Requirements	Target Score
Questions 1–5	Basic Questions	Mastery of in-class knowledge + basic computation	Goal: All correct (50 points)
Questions 6–8	Intermediate Questions	Flexible application + multi-step reasoning	Goal: Get 6–8 points per question
Questions 9–10	Advanced/Challenging Questions	Innovative thinking + Olympiad techniques	Goal: Secure sub-question (1) (2–4 points each)

Key to Winning Awards:

Aim to securely score over 70+ points on the first 8 questions, and strive for step marks on the last 2 questions → A total score of 80+ = Top 5% globally!

IV. Award Settings and Value

Award	Description	Value
Certificate of Distinction	Awarded to students scoring in the top 25% globally.	An important credential for applications to top Canadian universities like Waterloo, U of T, UBC.
Honour Rolls	Divided into three lists: Canadian (Official/Informal) and International.	For international students, making the Honour Rolls demonstrates顶尖 mathematical ability.
Contest Medal	Awarded to the top-scoring student at each participating school.	The highest honor within the school.
Plaque + Cash Prize	Top 5 in Canada: $500 CAD; Ranks 6–15: $200 CAD.	Only applicable to Canadian official participants.

Value for University Applications:

University of Waterloo: Euclid scores are directly used in admissions evaluations for Engineering, CS, and Math programs.

UK/US Institutions: Can serve as supplementary material demonstrating academic ability in STEM fields (especially suitable for students without AMC scores).

Global Recognition: Complements AMC 12 and AIME, showcasing rigorous mathematical literacy.

The Euclid Mathematics Contest is an international mathematics competition for high school students hosted by the University of Waterloo in Canada. Renowned for its high academic standards, strong connection to university academics, and significant reference value for University of Waterloo undergraduate admissions, it is hailed as the "TOEFL of the mathematics world." This article will provide a detailed analysis of the Euclid Contest's registration methods, core advantages, difficulty range, and phased preparation strategies to help you prepare efficiently for the April 2026 exam.

I. Euclid Contest Registration Methods

1. Unified School Registration

Applicable Students: Students whose schools are official in-person test centers for Euclid.

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

Recommendation: Consult your school's math teacher or the teacher in charge of competitions directly for more information.

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

2. Registration via Institution Agent

Applicable Students: Students whose schools are not Euclid Contest test centers.

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

Recommendation: Add and consult teachers from relevant institutions for information and to obtain registration eligibility.

We are an officially authorized test center and can provide代理 registration services.

II. Why You Must Choose Euclid?

1. Canada's "TOEFL of Mathematics," Highly Recognized by Top Universities

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

High Global Recognition: Especially suitable for students without AMC scores, serving as supplementary material demonstrating academic ability in STEM fields.

2. Direct Link to Scholarships

Priority for Entrance Scholarships at the University of Waterloo: High-scoring students have the opportunity to receive substantial scholarships, achieving "furthering studies through competition, earning scholarships through competition."

3. Moderate Difficulty, Extremely High Cost-Effectiveness

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

Easy to Score with Systematic Training: As long as students undergo systematic training, most can achieve outstanding results, making it suitable for the vast majority of high school students aiming for success.

III. Euclid Difficulty Range and Benchmarking

1. Overall Difficulty Positioning

Falls between AMC 10 and AMC 12, significantly lower than AIME, slightly higher than the later part of AMC 10, and lower than the most challenging AMC 12 problems.

Difficulty Curve: Gentle at the start, steep at the end, with a sharp increase —

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

Questions 6–8: "The dividing line," require flexible application of in-class knowledge.

Questions 9–10: "The master zone," test Olympiad-level thinking and techniques.

2. Knowledge Scope

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

No Calculus/Linear Algebra: However, the depth of exploration of basic concepts and the integration across modules far exceed in-class requirements.

Typical Question Types: Exponential and logarithmic operations, solving functions, analytic geometry, trigonometric simplification, sequence recurrence relations, circle geometry problems, etc.

IV. Euclid Preparation Tips: Phased Strategy

Phase 1: Foundation Building

1. Quickly Scan and Master Knowledge Points

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

Task: Quickly review core high school math knowledge points to ensure no knowledge gaps.

2. Intensively Practice the First 8 Questions of Past Papers

Goal: Master the logic of basic question types and improve accuracy in reading questions.

Task: Carefully work through the first 8 questions of past papers from 2015-2020, while memorizing mathematical English vocabulary.

3. Create a Categorized Error Log

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

Targeted Breakthrough: Conduct specialized practice for weak modules (e.g., geometric auxiliary line construction).

Phase 2: Ability Strengthening

1. Focus on Comprehensive Question Types

Target Question Numbers: Past paper questions 6-9.

Method: Refine core models like substitution methods, case discussions, forming general problem-solving approaches.

2. Tackle Difficult Modules

Key Focus: Tackle challenging areas like Number Theory, Combinatorics.

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

3. Standardize English Solution Steps

Requirement: Ensure derivations are clear to avoid losing points on process.

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

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

1. Full Mock Exams to Adapt to the Pace

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

Time Allocation: Control the time for questions 1-7 within 90 minutes, leaving enough time for the most challenging problems.

2. Score-Grabbing Strategy for Challenging Problems

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

Task: Organize your thoughts, list relevant formulas, and strive for every possible point.

3. Review and Optimize Test-Taking Strategy

Compare with Scoring Guidelines: Identify issues in steps and time allocation.

Optimization Strategy: Adjust the order of answering and time management based on mock exam performance.