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  MOEMS offers monthly math problem-solving competitions for elementary and middle school students. There are two divisions, Elementary (4th and 5th graders) and Middle School (6th, 7th, and 8th graders). Each division participates as an institutional team. Students are given unique problem sets with five problems each month. Students are administered five exams from November through March, resulting in the team attempting 25 problems overall. Students can qualify for medals and awards at the end of the exams. As a team, we have consistent results to achieve higher ranks than the national average. 

 The AMC 8, conducted by the Mathematical Association of America (MAA), is a 25-question, 40-minute, multiple-choice examination in middle school mathematics designed to promote the development of problem-solving skills. The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. The AMC 8 allows middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. 

The AMC 10/12 allows 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 to the International Mathematical Olympiad. The AMC 10/12 is a 25-question, 75-minute, multiple-choice examination in high school mathematics designed to promote developing and enhancing problem-solving skills.

• The AMC 10 is for students in 10th grade and below and covers the high school curriculum up to 10th grade.
• The AMC 12 covers the entire high school curriculum, including trigonometry, advanced algebra, and advanced geometry, excluding calculus.

 Those who excelled on the AMC 10 and/or AMC 12 are invited to the American Invitational Mathematics Examination (AIME), the next step to continue challenging students in mathematical competitions. The AIME is a 15-question, 3-hour examination. Top-scoring participants on the AIME are invited to take the USAMO or USAJMO. 

 Those who excelled on the AMC 10 and AIME are invited to compete in the United States of America Junior Mathematical Olympiad (USAJMO), a six-question, two-day, 9-hour essay/proof examination. 

 Those who excelled on the AMC 12 and AIME are invited to compete in the United States of America Mathematical Olympiad (USAMO), a six-question, two-day, 9-hour essay/proof examination. 

 The qualifying students at the USAMO or USAJMO are later invited to the Mathematical Olympiad Program (MOP) in the summer after the competition. Participants from the Mathematical Olympiad Program are then eligible to be selected for the following summer’s six-member team representing the United States of America at the IMO. 

 The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition held annually for high school students. The IMO brings together the top mathematics students worldwide to stimulate and encourage mathematical excellence through competition. This two-day competition consists of three problems to be solved within a 4.5-hour window each day. Each year, the U.S. team, organized by the MAA AMC, selects six students to compete. In 2020, over 600 students from 105 countries and territories participated. 

 The top female-identifying students from MOP are eligible to represent the United States at the European Girls’ Mathematical Olympiad (EGMO). EGMO is a challenging high school competition hosted annually to uplift girls worldwide and acknowledge them internationally. Each year, the US Team consists of four high school girls who solve three rigorous problems over two days. During the competition, the US Team connects with other international teams and mathematicians in competitions and excursions. In 2020, over 50 countries competed with 204 student participants. The MAA AMC organizes the US Team yearly to compete in the EGMO. 

 Math Kangaroo math competition is open to all students in grades 1 – 12 and very popular among elementary school students; the Math Kangaroo offers a variety of non-standard problems that serve as a great introduction to the world of math competitions for young students. This exciting international competition is designed to help kids of all ages explore and grow their love of math. 

 A monthly online mathematics competition where students are given one math problem to solve. Because of the difficulty level, students have the remainder of the month to work out solutions. Mathematicians grade students’ solutions and comments are returned to the students to develop their problem-solving skills and writing abilities. 

 Students compete in 3-5 meets between November and March. During each meet, students are asked to solve 6 problems in 30 minutes. A student’s individual score is the total number of problems they solve over all meets. The team score for each meet is the sum of top 6 individual scores. 

 The Noetic Learning Math Contest (NLMC) is a semiannual problem-solving contest for elementary and middle school students. During the contest, students have 45 minutes (50 minutes online) to solve 20 creative problems independently without a calculator. 

 The Purple Comet Math Meet is a free, annual, international, online, team, mathematics competition designed for middle and high school students that has been held every year since 2003. Teams of from one to six students compete by submitting solutions to a list of mathematics problems. 

 The Rocket City Math League is an international math contest that is open to all middle, high school, and two-year college students enrolled in pre-algebra through pre-calculus and above math courses. 

 Perennial Math is an international competition for grades 3-8. It has 2 seasons to choose from with 4 tests per season – one each month. Season 1 is November through February and Season 2 is January through April. The tests are composed of 6 questions that can be taken online, or printed out with teacher grading and entering the scores. 

 Founded in 1998, HMMT is one of the largest and most prestigious high school competitions in the world. Each tournament draws close to 1000 students from around the globe, including top scorers at national and international Olympiads. Comprising two annual events, the February competition is known for being more difficult and providing a challenge for the world’s top math whizzes. 

 The Stanford Math Tournament (SMT) is a high school math tournament run by students at Stanford University. They are supported by the Stanford Undergraduate Mathematics Organization (SUMO) and the Stanford Department of Mathematics.