In today's increasingly homogeneous application landscape, high GPAs and high standardized test scores have become standard. What truly sets you apart is often an authentic, quantifiable, and internationally recognized proof of mathematical ability. The Euclid Mathematics Contest, organized by the University of Waterloo, is precisely such a mirror that reflects talent, defines trajectories, and plans futures.
I. Why Do These Three Types of Students Particularly Need to Participate in Euclid?
Type 1: Students with good grades but an unclear understanding of their own level.
"I always score 95+ in school, but where do I rank nationwide or globally?"
Euclid provides a global uniform benchmark: In 2025, 27,092 participants worldwide with an average score of 54.8, requiring 68 points to reach the top 25%.
It is not a test where "high scores come from mere practice," but a comprehensive assessment of logic, rigor, and mathematical intuition.
A single participation allows you to clearly position yourself: Are you a "top student at school" or an "international contender"?
Type 2: Students aiming for STEM, Computer Science, or Economics.
"Who doesn't have A* in the applicant pool? Why choose you?"
These majors demand extremely high levels of mathematical modeling, abstract reasoning, and precise expression.
The Euclid certificate serves as an invisible advantage for top Canadian universities such as the University of Waterloo, the University of Toronto, and UBC.
More importantly, its underlying logic aligns with that of Oxford MAT, Cambridge STEP, and TMUA—all emphasizing process, proof, and critical thinking.
A top 25% scorecard is more persuasive than ten statements of "I'm strong in math."
Type 3: Students who can solve problems but cannot "write solutions" (a common pain point for A-Level/IB students).
Skipping steps in homework and providing only answers in exams may yield short-term gains but plants long-term pitfalls. University interviews require in-person deductions, personal statements demand descriptions of thought processes, and research calls for written proofs.
Euclid forces you to articulate a complete logical chain, serving as the ultimate training ground for academic writing skills.
It tests not just "whether you can solve" but "whether you can explain clearly."
II. Is Euclid Worth It? Two Key Data Points
| Indicator | 2025 Data |
|---|---|
| Global Participants | 27,092 |
| Average Score | 54.8 / 100 |
| Distinction (Top 25%) | 68 points |
| Honor Roll (Top 5%) | ≥ 90 points |
Conclusion: It is not a "free-points contest"—the average score of only 55 indicates it is properly discerning. But it is also not "exclusive to geniuses"—with systematic preparation, reaching the top 25% is entirely achievable.
Extremely cost-effective: One exam simultaneously builds skills, secures validation, and clarifies direction.
III. Post-Exam Alignment: Three Types of Students, Three Paths
1. Aim for Top 2.5%+ (Honor Roll Level)
Characteristics:
- Can handle most of Q8–Q10;
- Proofs are logically rigorous and written in a standardized manner;
- Demonstrates curiosity and analytical skills when facing new problems.
Talent Recognition: A genuinely rigorous STEM prospect with an integrated triad of abstract thinking, mathematical intuition, and precise expression.
Recommended Next Steps:
- Major Directions: Pure Mathematics, Theoretical Physics, Computer Science (AI/Theoretical), Financial Engineering.
- Advanced Competitions: Immediately begin AMC10/12 → AIME; aim for BMO (British Mathematical Olympiad) or COMC (Canadian Open Mathematics Challenge).
- Target Universities: G5 (Oxbridge, Imperial, UCL), Ivy League, MIT, Stanford, Waterloo CS Co-op.
- Admissions Test Preparation: Focus on Oxford MAT/Cambridge STEP/TMUA as core goals; Euclid is just the starting point.
2. Solidly Secure Top 25% (Distinction Level)
Characteristics:
- First 7 questions are mostly correct with proficient computation;
- Q8–Q10 are completely unfathomable or can only solve part (a);
- Can use formulas to solve problems but lacks deep deductive ability.
Talent Recognition: An excellent "user of mathematical tools," but not a "creator of mathematical ideas."
Recommended Next Steps: Immediately pivot and switch lanes! Leverage the Euclid Distinction certificate to prove a solid STEM foundation. Starting in April, pivot to applied-science competitions such as Physics Bowl, BPhO, and Chemistry Olympiads.
- Major Direction Adjustment: Avoid the "intense competition hell" of pure mathematics and theoretical physics; shift to Electronic Engineering, Mechanical Engineering, Materials Science, and Computer Applications (e.g., Software Engineering, Data Science).
3. High Probability of No Award
Characteristics:
- Struggles even with the first 4 questions;
- Gives up immediately upon seeing proof questions;
- Feels frustrated, anxious, and doubtful after the exam.
Talent Recognition: Rationally face reality: the high-intensity STEM track is not where you shine.
Recommended Next Steps: Cut losses in time; do not stubbornly persist. Do not force yourself to aim for BMO, STEP, or AMC12—that is a path to becoming cannon fodder. Shift to advantageous tracks:
- Humanities & Social Sciences (PPE, International Relations, Psychology);
- Business Management (Marketing, Strategy, Entrepreneurship—avoiding Financial Engineering/Actuarial Science);
- Art & Design (Interaction Design, Digital Media, Architecture).
Core Strategy: Use your existing standardized test scores + the Euclid participation experience (demonstrating courage) + authentic passion projects to craft a differentiated application story.
