The American Invitational Math Exam (AIME) is an invitational exam for top-scoring students from AMC 10 and AMC 12. It is a 15 question, 3-hour examination, each answer is an integer number between 0 to 999. Top scoring participants on the AIME are invited to take the USA Math Olympiads (USAMO) or USA Junior Math Olympiads (USAJMO). Starting in 2022, it is offered in February. AIME is the second exam in a series of competitions that eventually lead all the way to the International Mathematical Olympiad (see Invitational Competitions).
You can learn more about AMC 10/12 preparation and registration here.
AlphaStar Academy has several offerings for AIME preparation.
All of the courses have live and self-study formats. Live course students participate in interactive online live sessions. Both formats give access to the video recordings from the live sessions.
This is a free AIME practice test prepared by AlphaStar Academy. It is offered annually, a few months before the official competition. The test is similar in style to the official tests but does not contain any problems from past official competitions. Students will be able to take the test online in a timed exam environment, and then see their scores along with written solutions.
It contains four practice tests with solutions. They are written by AlphaStar Math Development Team, a group of expert students and alumni of AlphaStar Academy.
It contains the same four practice tests as in the book above, in an online format. Students will be able to take the practice tests online in a timed exam environment, and then see their scores along with written and video solutions.
These courses give students a boosting opportunity to review the materials, practice, and master their AIME test-taking strategies and problem-solving skills. They consist of selected essential topics, problem-solving, practice exams, solutions, and strategy sessions.
Fundamental courses help students master problem-solving techniques and skills for AIME in Algebra, Counting, Geometry, or Number Theory. They cover the whole contest curriculum.
Many of the questions and answers below are from the official AIME website.
It is a 15 question, 3-hour examination, each answer is an integer number between 0 to 999.
Qualification parameters for AIME vary with the results of the AMC 10/12 competitions. For AMC 10, invitations are issued to at least the top 2.5% of all scorers. For AMC 12, invitations are issued to at least the top 5% of all scorers. The exact cutoffs will depend on the difficulty of each competition. To see AIME cutoff scores and other historical data, you can check here.
Both AIME I (main AIME competition) and AIME II (alternate AIME competition) have the same number of questions, the same scoring, and the same rules for administration.
Invited students can only take one of these two exams. Check with your AMC 10/12 contest center to find out which one they are offering.
The AIME dates are moved from March to February. In 2022, the contest dates were as follows:
AIME I: Tuesday, Feb. 8, 2022
AIME II: Wednesday, Feb. 16, 2022
You can prepare by solving problems from past competitions or similar problems. Taking timed practice tests, going over the solutions, and analyzing your mistakes is also a great way to improve your exam performance. When analyzing your mistakes, you should create strategies to avoid them in the future. You can read this article to learn how making mistakes while practicing can actually help you avoid them in official contests.
AlphaStar offerings contain problems, tests, and exam strategies for AIME, developed by AlphaStar Academy faculty and development team. To see all of our offerings, see the AIME Preparation section above.