Preparing for the AMC 12 requires more than just talent — it requires the right resources. With so many textbooks, online platforms, and practice materials available, it can be overwhelming to know where to start. In this comprehensive guide, we curate the best AMC 12 preparation resources for 2025–2026, organized by category, to help you build a study plan that is both effective and efficient. Whether you are a beginner or an advanced competitor, these resources will support your journey from foundational learning to competition mastery.
Essential Textbooks
Books remain one of the most reliable and in-depth resources for AMC 12 preparation. Here are the most highly recommended textbooks, organized by difficulty level:
Art of Problem Solving (AoPS) Series
The Art of Problem Solving series by Richard Rusczyk and Sandor Lehoczky is widely considered the gold standard for AMC preparation. These books are written by former competition math champions and are designed specifically for students preparing for contests like the AMC 10/12, AIME, and beyond.
The Art of Problem Solving, Vol. 1: The Basics: Perfect for students transitioning from AMC 8 to AMC 10/12. Covers algebra, geometry, counting, number theory, and probability at an introductory level.
The Art of Problem Solving, Vol. 2: and Beyond: For advanced students aiming for top AMC 12 scores and AIME qualification. Covers more challenging topics and problem-solving techniques.
Introduction to Algebra: A comprehensive deep dive into algebra, essential for AMC 12 success.
Introduction to Geometry: Covers all geometry topics that appear on the AMC 12, with an emphasis on problem-solving strategies.
Introduction to Counting & Probability: Master the counting and probability concepts that frequently appear in the later problems of the AMC 12.
Introduction to Number Theory: Essential for number theory problems, which are a staple of the AMC 12.
Price: $30–$50 per book | Best for: Students at all levels, from beginner to advanced
Intermediate AoPS Series
For students who have mastered the introductory series and are aiming for scores of 120+ on the AMC 12, the intermediate series offers deeper exploration:
Intermediate Algebra by Richard Rusczyk
Intermediate Counting & Probability by David Patrick
Precalculus by Richard Rusczyk and David Patrick (covers trigonometry and advanced topics)
Price: $40–$60 per book | Best for: Students aiming for AIME qualification and beyond
Other Recommended Books
101 Issues in Algebra by Titu Andreescu — A collection of challenging algebra problems with detailed solutions.
The Art and Craft of Problem Solving by Paul Zeitz — Focuses on problem-solving strategies and heuristics.
Problem-Solving Strategies by Arthur Engel — A classic text for advanced competition preparation.
Online Learning Platforms
Art of Problem Solving (AoPS) Online
The AoPS website offers a comprehensive suite of online resources:
Alcumus: A free adaptive learning system that provides personalized problem recommendations based on your skill level. Excellent for targeted practice.
AoPS Online Courses: Live and self-paced courses taught by experienced instructors. Courses include "AMC 12 Bootcamp," "Introduction to AMC/AIME," and subject-specific courses.
AoPS Community Forum: A vibrant online community where you can discuss problems, ask questions, and learn from other students and coaches.
Price: Alcumus is free; courses range from $200–$800 | Best for: All levels
Brilliant.org
Brilliant.org is an interactive learning platform that offers courses in mathematics, science, and computer science. Their competition math courses are well-designed and engaging, with a focus on building intuition through interactive problem-solving.
Interactive lessons with visual explanations
Courses covering algebra, geometry, counting, and probability
Progress tracking and personalized recommendations
Price: $25/month or $150/year | Best for: Students who prefer interactive, visual learning
Khan Academy
While Khan Academy is not specifically designed for competition math, it is an excellent resource for building foundational skills. Their courses in algebra, geometry, trigonometry, and statistics can help you master the fundamentals needed for the AMC 12.
Price: Free | Best for: Students who need to strengthen their foundational knowledge
Past Exams and Practice Problems
Nothing prepares you for the AMC 12 like actual AMC 12 problems. Here is where you can find them:
MAA Official AMC Website
The Mathematical Association of America provides access to past AMC 12 exams on their official website. You can find problems and solutions from recent years.
AoPS Wiki and Past Contests
The AoPS website maintains an extensive collection of past AMC 12 exams with detailed solutions. The solutions are often written by top scorers and provide multiple approaches to each problem.
AMC 12 Problem Books
AoPS publishes compiled collections of past AMC exams with detailed solutions:
AMC 12 Preparations — A collection of past AMC 12 exams with solutions.
101 Problems from the AMC 12 — A curated selection of challenging problems.
Price: $20–$40 | Best for: Students who prefer working with physical books
Mobile Apps and Digital Tools
For students who prefer to study on the go, here are some useful mobile apps and digital tools:
Alcumus App (iOS/Android): The AoPS adaptive learning system is available as a mobile app, allowing you to practice problems anywhere.
Brilliant App (iOS/Android): Interactive math courses available on mobile devices.
Desmos Graphing Calculator: A free online graphing tool that can help you visualize functions and geometric problems (though calculators are not allowed on the AMC 12, Desmos is great for learning).
GeoGebra: A free geometry and graphing tool that can help you explore geometric concepts visually.
Communities and Forums
Learning is not a solitary activity. Engaging with a community of fellow competitors can provide motivation, support, and new perspectives on problem-solving. Here are some of the best online communities for AMC 12 preparation:
AoPS Community Forum: The largest and most active community for competition math. You can ask questions, discuss problems, and learn from top scorers and coaches.
Reddit (r/math and r/learnmath): General math communities where you can ask questions and find resources.
Discord Math Servers: Several Discord servers are dedicated to competition math, where you can chat with other students in real-time.
School Math Clubs: If your school has a math team or club, join it! Working with peers in person is invaluable.
Free vs. Paid Resources: What Do You Really Need?
One of the most common questions students ask is whether they need to spend money on preparation resources. The truth is that you can prepare effectively for the AMC 12 with free resources alone. Here is a suggested approach:
Free Resources (Sufficient for Most Students)
Past AMC 12 exams and solutions from the MAA and AoPS websites
Alcumus (free adaptive learning system)
Khan Academy for foundational skills
AoPS Community Forum for discussion and support
Paid Resources (Worth the Investment)
AoPS textbooks (if you prefer structured, in-depth learning)
AoPS online courses (if you benefit from live instruction and interaction)
Brilliant.org (if you prefer interactive, visual learning)
Ultimately, the most important factor is consistent, focused practice, not how much money you spend. Use the resources that work best for your learning style and budget.
Creating Your Personalized Resource Plan
With so many resources available, how do you decide what to use? Here is a simple framework:
Assess your current level: Take a past AMC 12 exam under timed conditions. How many problems can you solve? This will help you determine whether you need foundational resources or advanced materials.
Set a clear goal: Are you aiming to qualify for the AIME? Score 120+? Just improve from last year? Your goal will determine how intensive your preparation needs to be.
Choose 2–3 core resources: Do not try to use everything. Pick one textbook, one online platform, and commit to working through them thoroughly.
Supplement with past exams: Regardless of which resources you choose, make sure to work through at least 5–10 past AMC 12 exams under timed conditions.
Join a community: Find a forum or study group where you can ask questions and stay motivated.
Final Thoughts: The Best Resource Is Consistent Practice
No matter which resources you choose, remember that the most important factor in AMC 12 success is consistent, deliberate practice. It is better to work through one textbook thoroughly than to skim through five. It is better to solve 10 problems deeply and understand every step than to solve 50 problems superficially.
Use the resources above as tools to support your journey, but never forget that you are the one doing the work. Stay disciplined, stay curious, and enjoy the process of becoming a stronger mathematician. The AMC 12 is not just a competition — it is an opportunity to grow, to challenge yourself, and to discover the beauty of mathematics.
What resources have worked best for you? Share your recommendations in the comments below and help fellow students find the tools they need to succeed!
