A Clear Roadmap from
AMC to Olympiad
Structured topics, curated problems, and a clear path to Olympiad-level problem solving
Learn Contest Math
Carefully designed for math contest students - available to everyone, for free.
Curated Resources
Learn new topics from a vetted list of high-quality resources. If one resource doesn't click, look at another!Explore Foundations Resources
| Math Resources | ||
|---|---|---|
| AoPS | Number Theory Basics | modular arithmetic, gcd, and classic lemmas |
| AoPS | Geometry Essentials | similarity, circles, power of a point |
| MATH | Combinatorics Toolkit | invariants, pigeonhole, and double counting |
| OLYM | Functional Equations | standard substitutions and symmetry tricks |
Extensive Problemsets
Practice each topic with extensive problemsets and solutions covering a wide range of difficulties.Go to Problems Page
| Source | Problem Name | Difficulty |
|---|---|---|
| AMC 10 | Modular Patterns | Easy |
| AIME | Counting Arrangements | Normal |
| USAMO | Geometry Chase | Hard |
| AoPS | Inequality Practice Set | Hard |
Progress Tracking
Use our progress-tracking tools to track your progress in the Guide and stay motivated.Open Dashboard
Modules Progress
12 total
Help when you need it
Ask questions, share solutions, and learn from other contest students in the AoPS community.Visit AoPS Community →
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Frequently asked questions
- What are AMC, AIME, and USAMO?
The AMC (8/10/12) and AIME are the main pipeline contests in the U.S. that culminate in USAMO. For official contest information and schedules, see the MAA competitions page.
- Is this an official syllabus?
No. This guide is a community-curated roadmap that reflects common contest topics and problem-solving techniques. It does not represent an official syllabus.
- How do I report a problem or ask a question?
If you encounter an issue while using the guide (website bug, typo, broken link, unclear explanation, etc), use the "Contact Us" button. Alternatively, email us at contact@usamoguide.com.
- I'm looking for classes, club curriculum...
Check out AoPS classes and community-led study groups, or join the USAMO Guide study cohorts.
- Is this guide only for USAMO qualifiers?
Not at all. The guide is designed to support AMC 8, AMC 10/12, and AIME learners to reach USAMO.
- How can I get help?
If you get stuck, ask questions in the AoPS community or reach out via the Contact Us button.
- How can I contribute?
Contributions are welcome! Visit our GitHub repositoryto find guidelines and open issues.
- Is this open source?
Yes! Check out our GitHub Repository.
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