Invitation-Only · Qualified from AMC 10/12 · 15 Fill-In Questions · 3 Hours · USAMO Selection Pathway
AIME (American Invitational Mathematics Examination) is the elite, invitation-only competition in the AMC pathway. Unlike AMC 8/10/12 which are open for registration, AIME can only be reached by scoring high enough on AMC 10 or AMC 12.
Established in 1983, AIME is held in February each year with two sittings (AIME I and AIME II). AIME scores, combined with AMC scores, determine qualification for the USA Mathematical Olympiad (USAMO). Simply qualifying for AIME is already an extraordinary achievement — it places you in the top 5% of math competitors worldwide.
| Competition | Qualification Rate | Typical Cutoff Score |
|---|---|---|
| AMC 10A / 10B | Top 2.5% | ~90–105 points (out of 150) |
| AMC 12A / 12B | Top 5% | ~78–95 points (out of 150) |
Cutoff scores fluctuate each year based on problem difficulty and are announced by MAA after the exam. Aim for at least 10 points above the historical average as a safety buffer.
| Exam | Date | How to Participate |
|---|---|---|
| AIME I | February 4, 2027 (Thu) | Automatically invited after qualifying from AMC; confirm participation with your test center |
| AIME II | February 10, 2027 (Wed) | Alternative sitting if unable to attend AIME I |
No separate AIME registration is required. After qualifying from AMC, you'll receive an invitation. Most students take AIME I; AIME II is the backup option.
Polynomial equations, complex numbers, logarithmic identities, function iteration
Modular arithmetic, Chinese Remainder Theorem, number-theoretic functions
Ptolemy's theorem, Stewart's theorem, power of a point, coordinate geometry
Generating functions, recursion, graph theory intro, advanced probability
AIME problems typically combine multiple mathematical areas creatively — the hallmark challenge that distinguishes AIME from standard examinations.
USAMO (USA Mathematical Olympiad) selects approximately 250–270 students each year from AIME participants: