Foundational Problem-Solving Texts
- *The Art of Problem Solving, Volume 1* — Sandor Lehoczky and Richard Rusczyk. The standard starting reference for AMC 8 and early AMC 10-level algebra, geometry, counting and number theory, published by AoPS (Art of Problem Solving).
- *The Art of Problem Solving, Volume 2* — Sandor Lehoczky and Richard Rusczyk. The natural next step once Volume 1 is comfortable, pushing into more advanced AMC 10 and early AIME-level technique.
- *Competition Math for Middle School* — Jason Batteron. A strong bridge text for students moving from school maths into AMC 8-style problem-solving, organized by topic.
- *Introduction to Counting & Probability and Introduction to Number Theory* — David Patrick, both published by AoPS. Focused, topic-specific texts for the two areas that most often trip up AMC 10 first-timers.
Past Papers
The MAA's own AMC archive, freely available on the Art of Problem Solving wiki and through the MAA's AMC resources page, is the single most valuable resource available — realistic, official, and the closest thing to genuine exam conditions a student can practice with. Working through past papers under timed conditions matters more than working through additional books once the core concepts are covered.
Topic-Specific Practice
Once past papers reveal a specific weak area — say, counting and probability, or number theory — a targeted text like Introduction to Counting & Probability is more efficient than working through a general book cover to cover again.
Community and Discussion Resources
The Art of Problem Solving Community (the AoPS online forum) has detailed, threaded discussions of nearly every past AMC problem, with multiple student- and mentor-contributed solution approaches to the same problem — often more instructive than a single textbook explanation, since seeing three different ways to attack a problem builds real flexibility.
What Matters More Than the Resource List
Consistent, timed practice with real feedback on mistakes — not the sheer number of books used — is what actually moves an AMC score. A small set of good resources, worked through deliberately and reviewed line by line, consistently outperforms a large pile of books skimmed quickly.
Summary Table
| Stage | Recommended Resource |
|---|---|
| AMC 8 / early AMC 10 | The Art of Problem Solving, Vol. 1, Competition Math for Middle School |
| AMC 10 depth | The Art of Problem Solving, Vol. 2, AoPS Introduction to series |
| Practice & review | MAA's official past-paper archive, AoPS Community discussion threads |