The American Mathematics Competition (AMC) 10/12 is one of the most prestigious high school Math competitions in the USA and the world. It is a 25-question, 75-minute, multiple-choice contest. Starting 2021 Fall, it is offered in November. The AMC 10/12 is the first in a series of competitions that eventually lead all the way to the International Mathematical Olympiad (see Invitational Competitions).
Students can register for AMC 10/12 through a test center. You can find the list of test centers here.
AlphaStar Academy is one of the official test centers for AMC 10/12.
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AlphaStar Academy has several offerings for AMC 10 preparation and AMC 12 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 AMC 10 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 AMC 10 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 AMC 10/12 in Algebra, Counting, Geometry, or Number Theory. They cover the whole contest curriculum.
Many of the questions and answers below are from the official AMC 10/12 website.
It is a 25-question, 75-minute, multiple-choice exam.
The AMC 10 covers mathematics normally associated with grades 9 and 10. The AMC 10 assumes knowledge of elementary algebra; basic geometry knowledge including the Pythagorean Theorem, area and volume formulas; elementary number theory; and elementary probability. What are excluded are trigonometry, advanced algebra, and advanced geometry. The AMC 12 covers the entire high school mathematics curriculum including the above as well as trigonometry, advanced algebra, and advanced geometry but excludes calculus.
Both the A and the B versions of the AMC 10 and the AMC 12 have the same number of questions, the same scoring and the same rules for administration. The only differences are the competition dates and that each version has a distinct set of questions, although the two examinations are designed to be equal in difficulty and distribution of topics.
Yes, as long as a student is eligible to take the appropriate competitions. That is, a 10th grader or below can take the both AMC 10 A and the AMC 10 B, the AMC 12 A and the AMC 12 B, etc, and an 11th or 12th grader can take the AMC 12 A and the AMC 12 B. However, a student cannot take two tests on the same day. For example, taking AMC 10A and AMC 12A is not allowed.
The AMC 10/12 dates are moved from February to November. The contest dates are as follows this year:
AMC 10/12 A: Wednesday, Nov. 8, 2023
AMC 10/12 B: Tuesday, Nov. 14, 2023
Students can only register for AMC 10/12 through a test center. You can find the list of test centers here. AlphaStar Academy is one of the official test centers for AMC 10/12. You can learn more here.
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 AMC 10/12, developed by AlphaStar Academy faculty and development team. To see all of our offerings, see AMC 10 Preparation and AMC 12 Preparation section above.