What is the AIME exam?

The American Invitational Mathematics Examination (AIME) is an invitation-only math competition administered by the Mathematical Association of America (MAA). It serves as the second stage in the AMC competition series, following the AMC 10 and AMC 12. High scorers on the AIME may qualify for the USA Mathematical Olympiad (USAMO) or USA Junior Mathematical Olympiad (USAJMO).

Who is eligible to take the AIME?

Students qualify for the AIME by achieving a high score on the AMC 10 or AMC 12. Typical qualifying cutoffs are around 120 on the AMC 10 (approximately the top 2.5% of scorers) and around 100 on the AMC 12 (approximately the top 5%). Only students enrolled in high school or below in the United States and Canada are eligible to participate.

What topics are covered on the AIME?

The AIME covers advanced high school mathematics across four main areas: algebra, geometry, number theory, and combinatorics. Questions frequently involve trigonometry, complex numbers, polynomial manipulation, coordinate geometry, modular arithmetic, and counting techniques. Problems often require combining multiple topic areas and creative problem-solving approaches rather than rote calculation.

What is the format and scoring of the AIME?

The AIME consists of 15 problems to be solved in 3 hours. Each answer is an integer from 000 to 999. You earn 1 point for each correct answer, with no penalty for incorrect or blank responses, giving a maximum score of 15. No calculators, computers, or other electronic devices are permitted during the exam.

When and where is the AIME administered?

The AIME is offered on two dates each year, typically AIME I in early February and AIME II in mid-February or early March. Qualified students take the exam at their school or a designated testing center. Students may only sit for one of the two dates. Both versions are equally difficult and scored identically.

What AIME score do you need to qualify for USAMO or USAJMO?

Qualification for USAMO and USAJMO is based on a combined index score using your AMC and AIME results. For AMC 12 takers, the USAMO index equals AMC 12 score plus 10 times the AIME score, with cutoffs typically around 219-235. For AMC 10 takers, the USAJMO index uses a similar formula, with cutoffs usually around 216-230. Exact thresholds vary each year.

Are calculators allowed on the AIME?

No, calculators and all electronic devices are strictly prohibited during the AIME. All 15 problems must be solved using pencil, paper, and mental computation only. This is a deliberate design choice, as AIME problems test mathematical reasoning and ingenuity rather than computational speed. Practicing without a calculator is essential for effective preparation.

What are the best strategies to prepare for the AIME?

The most effective preparation involves working through past AIME problems, which are publicly available from 1983 to the present. Focus on building skills in number theory, combinatorics, and advanced geometry, as these topics appear most frequently. Timed practice sessions simulating the full 3-hour format help develop pacing. Resources like the Art of Problem Solving (AoPS) community and textbooks are widely used by successful AIME participants.

AIME Practice Test

Updated for August 2026

Dr. Alexandra KimAug 1, 202610 min read

The American Invitational Mathematics Examination (AIME) is a top math contest for the best high school students in the U.S. It tests their math skills with tough problems. Students need to solve complex math problems to show their skills.

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AIME Practice Test Questions

Prepare for the AIME - American Invitational Mathematics Examination exam with our free practice test modules. Each quiz covers key topics to help you pass on your first try.

AIME Algebra

AIME Exam Questions covering Algebra. Master AIME Test concepts for certification prep.

AIME Geometry

Free AIME Practice Test featuring Geometry. Improve your AIME Exam score with mock test prep.

AIME Inequalities and Optimization

AIME Mock Exam on Inequalities and Optimization. AIME Study Guide questions to pass on your first try.

AIME Polynomials and Functions

AIME Test Prep for Polynomials and Functions. Practice AIME Quiz questions and boost your score.

AIME Sequences and Series

AIME Questions and Answers on Sequences and Series. Free AIME practice for exam readiness.

AIME Trigonometry and Complex Numbers

AIME Mock Test covering Trigonometry and Complex Numbers. Online AIME Test practice with instant feedback.

AIME Combinatorics

Free AIME Quiz on Combinatorics. AIME Exam prep questions with detailed explanations.

AIME Mathematical Reasoning

AIME Practice Questions for Mathematical Reasoning. Build confidence for your AIME certification exam.

AIME Number Theory

AIME Test Online for Number Theory. Free practice with instant results and feedback.

AIME Problem-Solving Strategies

AIME Study Material on Problem-Solving Strategies. Prepare effectively with real exam-style questions.

Key Takeaways

Free AIME Practice Test Online

The AIME is a highly competitive math contest designed for top-performing high school students.
Participants must demonstrate advanced problem-solving skills and a mastery of complex mathematical concepts.
The AIME is known for its challenging problems that push the boundaries of traditional high school curricula.
Performing well on the AIME is a significant achievement that can open doors to prestigious universities and scholarships.
Preparing for the AIME helps develop critical thinking, logical reasoning, and a deeper appreciation for the beauty of mathematics.

What is the AIME?

Unveiling the AIME (American Invitational Mathematics Examination)

The AIME (American Invitational Mathematics Examination) is a top math contest for the best high school students in the U.S. It comes after the American Mathematics Competitions (AMC) exams, like the AMC 8, 10, and 12. The AIME lets students who are great at solving math problems show off their skills.

The AIME is an annual math test for students who did well on the AMC exams. It’s a big deal for finding and honoring the top young math whizzes in the country. The test is a 3-hour exam that tests students on advanced math topics. They need to use their critical thinking and problem-solving skills for tough, non-routine problems.

✓Review the official AIME exam content outline
✓Take a diagnostic practice test to identify weak areas
✓Create a study schedule (4-8 weeks recommended)
✓Focus on your weakest domains first
✓Complete at least 3 full-length practice exams
✓Review all incorrect answers with detailed explanations
✓Take a final practice test 1 week before exam day

Start Practice Test

History and Prestige of the AIME

The AIME has been around since 1983. Over the years, it’s become a top math event for U.S. high school students. It’s seen as a true test of math skill, inviting only the best AMC performers. Scoring well on the AIME is a big deal, opening doors to top colleges, scholarships, and math and science opportunities.

📄Free AIME Practice Test PDF

Mathematical Reasoning - American Invitational Mathematics Examination study guide

Mastering Problem-Solving and Mathematical Reasoning

The AIME (American Invitational Mathematics Examination) is a top contest for high school students. It tests their mathematical prowess. The AIME focuses on problem-solving skills and quantitative reasoning. Students face complex problems that cover advanced math like algebra, geometry, and more.

To do well, students must come up with creative solutions. They use math in new ways, showing off their critical thinking and advanced math skills. The test checks if they can think deeply, look at problems from different sides, and find the right strategies.

Getting ready for the AIME means more than just memorizing formulas. Winners practice a lot, solve many math problems, and understand math deeply. The competition makes students think differently, try new ideas, and expand their math knowledge.

By getting good at problem-solving and quantitative reasoning, AIME participants do well in the contest and set up for future success. These skills help them solve complex problems and advance knowledge in many areas.

American Invitational Mathematics Examination - American Invitational Mathematics Examination study guide

AIME Complete Guide: American Invitational Mathematics Exami

AIME Problems & Practice Tests: Free 2025 AMC Prep Guide

AIME Practice Test PDF (Free Printable 2026)

AIME Exam Eligibility Guide

AIME: Pros and Cons

✅Pros

+AIME exam preparation strengthens your knowledge across all domains
+Passing the exam proves competency to employers and clients
+Study materials and practice tests are widely available
+Exam-based credentials are portable across states and employers
+Clear exam objectives help focus your study plan effectively

❌Cons

−Exam anxiety can affect performance — practice tests help reduce it
−Registration fees are non-refundable if you miss your test date
−Limited retake opportunities may apply with waiting periods
−Exam content updates periodically — use current study materials
−Testing center availability may require advance scheduling

AIME Questions and Answers

About the Author

Dr. Alexandra KimPhD Professional Studies, CPLP, CPTD

Certified Professional Development Expert & Niche Certification Advisor

University of Pennsylvania Graduate School of Education

Dr. Alexandra Kim holds a PhD in Professional Studies from the University of Pennsylvania and is a Certified Professional in Learning and Performance (CPLP) and Certified Professional in Talent Development (CPTD). With 17 years of corporate training and professional certification advisory experience, she helps professionals navigate specialized, emerging, and cross-industry certification programs.

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