Choosing the right AMC resources is the difference between busywork and real progress toward a qualifying score.
The American Mathematics Competitions (AMC), run by the Mathematical Association of America (MAA), are the entry point to the most prestigious math pathway in the United States. The AMC 8 is a 25-question, 40-minute contest for students in grade 8 and below; the AMC 10 and AMC 12 are 25-question, 75-minute multiple-choice contests for students in grades 10 and 12 (or below), each offered in an A and a B version. Strong AMC 10/12 scorers earn an invitation to the AIME, and from there the pathway continues toward the USAJMO, USAMO, and ultimately the International Mathematical Olympiad. Because rules, dates, and qualifying thresholds change yearly, always confirm current details on the official MAA AMC site.
With the format clear, the question becomes which study materials actually move the needle. Below are the AMC resources we recommend most often, grouped by how you should use them.
The Best AMC Books and Courses
Good preparation rests on a foundation of conceptual depth, not just exposure to tricks. These materials are widely regarded as the gold standard.
- Art of Problem Solving (AoPS) Introduction series — Introduction to Algebra, Counting & Probability, Number Theory, and Geometry build the core toolkit for the AMC 8 and AMC 10. They are thorough and take real time to finish, which is exactly the point.
- AoPS Intermediate series — for AMC 12 and AIME-level students who have mastered the introductory topics and want to push into harder algebra and counting.
- Topic-focused AMC prep books — compact volumes with hundreds of categorized practice problems and worked solutions are excellent for targeted drilling once the fundamentals are in place.
- The Art and Craft of Problem Solving by Paul Zeitz — a broader, more advanced look at problem-solving strategy for students who want to think like an olympian.
A book only helps if you do the problems with a pencil and reflect on every mistake. Passive reading of solutions builds false confidence. Solve first, check second.
Free and Online AMC Resources
Some of the most valuable tools cost nothing. Build your weekly routine around them.
- Official past AMC problems — the MAA and the AoPS Wiki host extensive archives of past contests organized by year and division, with full solutions. Nothing predicts performance better than real, full-length practice tests taken under timed conditions.
- AoPS Alcumus — a free, adaptive problem generator that adjusts difficulty to your level, ideal for daily skill maintenance.
- Community forums and solution discussions — reading multiple approaches to the same problem teaches flexibility, which is what separates a 100 from a 130.
If you want structure and feedback, a guided class can shorten the learning curve considerably. Our AMC competition track pairs curated problem sets with coaching so students learn why each technique works, not just that it does.
How to Turn Resources Into a Plan
Owning great AMC resources is not a strategy. Sequencing them is.
- Diagnose. Take one recent past paper untimed to find your weak topics — usually counting, number theory, or the final five problems.
- Build fundamentals. Work the relevant AoPS Introduction chapters before chasing competition tricks.
- Drill by topic. Use Alcumus and a focused prep book to close specific gaps.
- Simulate. In the final weeks, take full timed past papers, then review every missed problem until you can re-solve it from scratch.
Students aiming higher often pair AMC training with adjacent challenges. Strong logical thinking transfers well to competitive programming, and many of our families explore our broader math enrichment program to keep building momentum between contest seasons.
A Word for Parents
The AMC rewards consistent, thoughtful practice far more than last-minute cramming. Beware of any resource or coach promising guaranteed scores; none can. What works is a clear plan, honest review of mistakes, and steady effort over months. Read more contest guides on the BIAA blog.
Ready to give your child structure and expert guidance? Explore BIAA's programs and find the right starting point for their math competition journey.