• AMC 8 – G8 and under 

The AMC 8 is a contest for students in grades 8 and below, hosted annually by the American Mathematics Competitions (AMC) to students all over the United States. Usually, high scoring students will be given a chance by their school to take the more challenging AMC 10 exam. However, there is no requirement for the AMC 10 besides the fact that you have to be 10 grade or below.

The AMC 8 is a 25-question, 40-minute, multiple-choice examination in middle school mathematics designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.

The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include but are not limited to counting and probability, estimation, proportional reasoning, elementary geometry including the Pythagorean Theorem, spatial visualization, everyday applications, and reading and interpreting graphs and tables. In addition, some of the later questions may involve linear or quadratic functions and equations, coordinate geometry, and other topics traditionally covered in a beginning algebra course.

Students with a passion for problem-solving who are in grade 8 or below and under 14.5 years of age on the day of the competition are eligible to participate in the AMC 8.

• Prealgebra

• Introduction to Geometry

Links (Past AMC 8 exams)

https://artofproblemsolving.com/wiki/index.php/AMC_8_Problems_and_Solutions

• AMC 10 – G10 and under

The American Mathematics Contest 10 (AMC 10), along with the AMC 12, is one of the first exams in the series of exams used to challenge bright students, grades 10 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO).

High scoring AMC 10 and AMC 12 students are invited to take the American Invitational Mathematics Examination (AIME).

The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple-choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.

The AMC 10 is scored in a way that penalizes guesses. Correct answers are worth 6 points, incorrect questions are worth 0 points, and unanswered questions are worth 1.5 points, to give a total score out of 150 points. From 2002 to 2006, unanswered questions were awarded 2.5 points. In 2006 and 2007, unanswered questions were awarded 2 points. Students that are in the top 2.5% of the AMC 10 contest are invited to take the AIME.[1]

The AMC 10 is for students in 10th grade and below and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. The AMC 12 covers the entire high school curriculum, including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.

The AMC 10/12 provides an opportunity for high school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. The AMC 10/12 is the first in a series of competitions that eventually lead all the way to the International Mathematical Olympiad 

• Introduction to Algebra

• Introduction to Counting & Probability

• Introduction to Geometry

• Introduction to Numver Theory

• Volume 1

• Volume 2

Links (Past AMC 10 exams ) https://artofproblemsolving.com/wiki/index.php/AMC_10_Problems_and_Solutions

• AMC 12 – G12 and under 

 The American Mathematics Contest 12 (AMC 12) is the first exam in the series of exams used to challenge bright students, grades 12 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO).

The AMC 12 is a 25 question, 75 minute multiple choice test. Problems generally increase in difficulty as the exam progresses. Ever since 2008, calculators have been banned from use during the test; however, calculators were never required to solve any problems, and students who did not use calculators were not disadvantaged.

The AMC 12 is scored in a way that penalizes guessing. Correct answers are worth 6 points, incorrect answers are worth 0 points, and unanswered questions are worth 1.5 points, to give a total score out of 150 points. From 2002 to 2006, the number of points for an unanswered question was 2.5 points and before 2002 it was 2 points. Students that score over 100 points or in the top 5% of the AMC 12 contest are invited to take the AIME.

High scoring AMC 12 students are invited to take the more challenging American Invitational Mathematics Examination (AIME).

• Intermediate Algebra

• Intermediate Counting & Probability

• Precalculus

• Volume 1

Links (Past AMC 12 exams)

https://artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions