Your One-Stop Hub for AIME Math Competition Preparation
The American Invitational Mathematics Examination (AIME) offers a wide range of preparation materials to help students succeed in this prestigious competition. These resources include past exam problems, curated practice sets, categorized problem collections, difficulty-progression problem books, and recommended study materials.
Each resource is designed to help students develop a deeper understanding of AIME problem types, strengthen mathematical thinking, and improve problem-solving strategies. Through systematic practice and review, students can build the skills needed to perform at their best on the competition.
Available Preparation Resources
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1983–2025 AIME Past Problems + Official Answers
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300 Must-Practice AIME Problems with Detailed Solutions
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Categorized Problem Sets & Progressive Difficulty Workbooks
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Essential Reading List & Official Recommended Books
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AIME Knowledge Mind Map
AIME Course Trial
Students interested in guided preparation or coaching can scan the QR code to consult with our advisors and choose a course that fits their learning goals.
1. AIME Past Problems and Official Answers
Practicing past competition problems is one of the most effective ways to prepare for AIME. Below are AIME I and AIME II exam papers from recent years.
| Year | Exam Papers |
|---|---|
| 2025 | AIME I · AIME II |
| 2024 | AIME I · AIME II |
| 2023 | AIME I · AIME II |
| 2022 | AIME I · AIME II |
| 2021 | AIME I · AIME II |
| 2020 | AIME I · AIME II |
| 2019 | AIME I · AIME II |
| 2018 | AIME I · AIME II |
| 2017 | AIME I · AIME II |
| 2016 | AIME I · AIME II |
| 2015 | AIME I · AIME II |
| 2014 | AIME I · AIME II |
| 2013 | AIME I · AIME II |
| 2012 | AIME I · AIME II |
| 2011 | AIME I · AIME II |
| 2010 | AIME I · AIME II |
| 2009 | AIME I · AIME II |
| 2008 | AIME I · AIME II |
| 2007 | AIME I · AIME II |
| 2006 | AIME I · AIME II |
| 2005 | AIME I · AIME II |
| 2004 | AIME I · AIME II |
| 2003 | AIME I · AIME II |
| 2002 | AIME I · AIME II |
| 2001 | AIME I · AIME II |
| 2000 | AIME I · AIME II |
Scan the QR code to join the AIME learning community, where you can access preparation materials and experience trial lessons.
Students preparing for AIME can send the messages shown in the example image to receive the following resources for free:
AIME Past Problems + Detailed Solutions
2. 300 Essential AIME Practice Problems with Solutions
These 300 carefully selected problems represent common AIME question types and difficulty levels. Each problem includes step-by-step explanations designed to strengthen mathematical reasoning and problem-solving techniques.
Scan the QR code to join the AIME preparation community and download:
AIME 300 Essential Problems + Detailed Solutions
3. Categorized Problem Sets & Progressive Difficulty Workbooks
To help students master AIME topics systematically, we provide:
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Categorized problem collections organized by mathematical topic
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Progressive difficulty workbooks designed to build skills step by step
Each set includes complete explanations to help students understand key ideas and strategies.
Join the AIME learning community to download:
Categorized AIME Problem Sets & Progressive Practice Workbooks
4. AIME Preparation Books
1. Three Essential Books for AIME Preparation
These books are widely considered core reading for AIME preparation and help students develop the mathematical depth needed for high-level competition.
2. Recommended Reading List
These books provide comprehensive coverage of key AIME topics, along with extensive problem sets for practice.
Art of Problem Solving – Volume 2
A highly regarded resource that provides a strong overview of the most important concepts required for AIME.
Combinatorics
Intermediate Counting & Probability
An excellent advanced resource for studying combinatorics at the AIME level.
Algebra
Intermediate Algebra
A comprehensive guide covering most algebra concepts required for AIME.
AoPS Precalculus (Chapters 1–8)
Precalculus includes topics such as trigonometry, complex numbers, vectors, and matrices. Only the first eight chapters are directly relevant for AIME preparation.
Number Theory
UKMT Number Theory
Since AoPS does not provide an intermediate number theory text, this book is one of the best alternatives. It introduces key concepts such as:
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Modular arithmetic
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Sequences
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Diophantine equations
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Advanced number theory techniques
Geometry
UKMT Geometry
A strong alternative for intermediate geometry preparation, covering:
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The Pythagorean theorem
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Trigonometry
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Circle theorems
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Ceva’s and Menelaus’ theorems
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Geometric inequalities
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Coordinate geometry
Euclidean Geometry in Mathematical Olympiads
An advanced olympiad-level text best suited for students aiming to solve challenging AIME geometry problems (especially problems 11–15).
5. AIME Knowledge Mind Map
This knowledge map systematically organizes the core content tested in the American Invitational Mathematics Examination (AIME).
The framework focuses on the four foundational pillars of competition mathematics:
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Algebra
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Geometry
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Number Theory
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Combinatorics
Through a clear hierarchical structure and key terminology, the map helps students quickly identify the relationships between major mathematical topics and build a structured AIME knowledge system.
| Knowledge Area | Core Focus | Representative Topics |
|---|---|---|
| Algebra | Transformations and techniques for solving complex relationships | Higher-degree equations, inequalities, complex numbers, function iteration, sequences |
| Geometry | Properties of geometric figures and multi-method problem solving | Power of a point, triangle centers, Ceva’s theorem, analytic geometry |
| Number Theory | Deep properties of integers and theoretical applications | Congruence theory, modular arithmetic, Diophantine equations, prime factorization |
| Combinatorics | Abstract modeling and counting strategies | Combinatorial counting, probability models, recurrence relations, graph theory |
This structured overview helps students quickly activate relevant knowledge when tackling AIME problems, which often require creative thinking and the integration of multiple mathematical concepts.
Join the AIME preparation community to download:
AIME Knowledge Mind Map
