Math Olympiads for Elementary and Middle School (MOEMS): A Complete Guide

Math competitions can be a game-changer for young learners, and one of the most popular contests at the pre-high school level is the Math Olympiads for Elementary and Middle Schools (MOEMS). In this comprehensive guide, we’ll break down everything you need to know about MOEMS—what it is, how it works, the awards up for grabs, and tips on how to qualify, participate, and win.

• What Is the Math Olympiads for Elementary and Middle School (MOEMS)?
• Math Olympiads for Elementary and Middle School (MOEMS) Awards and Prizes
• How to Qualify for the Math Olympiads for Elementary and Middle School (MOEMS)
• How to Get into the Math Olympiads for Elementary and Middle School (MOEMS)
• How to Win in the Math Olympiads for Elementary and Middle School (MOEMS)
• Math Olympiads for Elementary and Middle School (MOEMS) Previous Winners
• Frequently Asked Questions
• Takeaways

What Is the Math Olympiads for Elementary and Middle School (MOEMS)?

Founded in 1979 as a 501(c)(3) nonprofit, Math Olympiads for Elementary and Middle Schools (MOEMS) is an international mathematics competition for students in grades 4-8. Participation is open to public, private, parochial, charter, and homeschool students, as well as learning centers.

MOEMS is team-based, though contests are completed individually. Each team may include up to 35 students, and schools may register multiple teams if needed. Individual scores contribute to team standings, which are calculated using the top 10 cumulative individual scores across all five contests. Each student can earn a maximum of 25 points per season.

MOEMS consists of five monthly contests held from November through March each academic year. Each contest includes problems that span core areas such as arithmetic, geometry, number theory, and logic, but are intentionally designed to require insight and flexible thinking through non-routine math questions.

MOEMS has two divisions:

• Division E (Elementary): Grades 4–6
• Division M (Middle): Grades 6–8

Grade 6 students may compete in either division based on their school setting.

Students not affiliated with a registered school may compete through an “Institute team,” typically organized by parents or math programs. If a student’s school already has a MOEMS team, they are expected to compete with that team.

As of 2026, MOEMS contests may be administered either On Paper (in person) or Online (remote). Teams may choose the format that best fits their circumstances, and mixed formats are permitted within a team under supervision. All students on a team must take each contest at the same time to ensure fairness.

Math Olympiads for Elementary and Middle School (MOEMS) Awards and Prizes

MOEMS is structured to recognize the very top performers and reward many students and teams for their hard work. In this section, we’ll list the awards and prizes that winners can take home.

All MOEMS participants receive formal recognition. Individual awards are based on cumulative performance across the five contests.

Team awards are based on cumulative team scores using the top 10 individual scores per team. Only school-based teams are eligible for these awards.

District teams and Institute teams are not eligible for team awards (plaques or certificates). However, students on these teams remain fully eligible for all individual awards.

How to Qualify for the Math Olympiads for Elementary and Middle School (MOEMS)

If you are in the right grade range and have a school or adult willing to register a team, you qualify to participate. In this section, we’ll break down the key qualification criteria for MOEMS.

Eligibility

MOEMS is open to students in grades 4 through 8 at the time of participation, with eligibility determined strictly by grade level rather than age, math course placement, or prior competition experience. MOEMS does not impose any academic prerequisites to participate.

Sixth graders may compete in either division, depending on the team’s makeup. Any team that includes at least one seventh or eighth grader must compete in Division M. Division placement is determined and declared by the team’s coach at the time of registration.

Required documents

Each team must have a registered adult coach, also known as the Person in Charge of the Olympiad (PICO), responsible for administration, testing, score submission, and team affiliation, which may be one of the following:

• Single-school team (public, private, charter, parochial)
• Homeschool team
• District team (students from multiple schools)
• Institute team (learning centers, parent-organized teams)

Students may not compete on an outside or non-school team if their school already has a registered MOEMS team; in such cases, they are expected to participate with their school.

Contest fees

MOEMS fees cover contest materials, administration, scoring, and eligibility for both individual and team awards.

As of the 2026 season, official registration fees have not yet been announced, but here are the fees for the 2025–2026 cycle:

Registration deadlines

Registration is handled by the team’s PICO and is completed directly through MOEMS. The official timeline for 2025-2026 is as follows:

How to Get into the Math Olympiads for Elementary and Middle School (MOEMS)

Getting into MOEMS essentially means joining or forming a team and registering for the competition. Here’s a step-by-step guide to entering the world of MOEMS:

1. Find or form a team.

Participation in MOEMS begins with joining a registered team. Students should first check whether their school already has a MOEMS team by asking a math teacher, gifted coordinator, or school administrator. If a team exists, students typically join through school-organized sign-ups or tryouts held near the start of the school year.

If a school does not have one, students may work with a teacher or administrator to start a team, provided an adult is willing to serve as the PICO. If a school-based team is not feasible, students may form an independent Institute team, homeschool team, or parent-organized group.

2. Register the team with MOEMS.

Once a team and coach are in place, the PICO must complete official registration through the MOEMS website. Registration is completed online and includes selecting the appropriate division, providing team and coach information, and submitting the registration fee.

Registration typically opens in the spring for the upcoming contest season, and all registrations must be completed before the season begins.

3. Track registration deadlines and contest dates.

MOEMS uses a tiered registration system with multiple deadlines tied to fee levels. While exact dates vary each year, early registration generally closes in late July, standard registration in mid-October, and late or last-chance registration shortly before contests begin in November. Teams are strongly encouraged to register by mid-October to ensure full access to materials and adequate preparation time.

4. Prepare using official MOEMS materials.

After registration, the PICO receives access to official MOEMS materials through a secure portal. These include contest problems, answer keys, scoring instructions, and approximately 100 practice problems with solutions from recent years.

Coaches typically organize regular practice sessions to build familiarity with MOEMS-style problem solving. Coaches also receive updates and instructions throughout the season and are responsible for entering scores after each contest.

5. Administer contests and submit scores.

The contest season consists of five monthly contests. Each contest is offered within a designated date window, during which teams choose a single day to take the test.

Contests are administered under standardized conditions: 30 minutes, no calculators, and supervised testing. After each contest, the coach scores submissions using official answer keys and uploads individual scores to the MOEMS system before the deadline. Final rankings and award determinations are calculated after all five contests are completed.

6. Focus on participation and growth.

While participation in MOEMS requires organization and adherence to deadlines, the program is designed to emphasize problem-solving development and sustained engagement with mathematics. Teams often integrate MOEMS into regular enrichment activities, and schools may recognize participants at assemblies or through school communications. The structure encourages consistent effort across the season rather than performance on a single test.

How to Win in the Math Olympiads for Elementary and Middle School (MOEMS)

In this section, we’ll focus on strategies and tips to maximize your performance in MOEMS, from preparation to contest-taking techniques, so that you have the best shot at those medals and trophies.

1. Think about your preparation strategy.

Consistent practice is an important factor in performing well at MOEMS. The contest problems are non-routine and emphasize reasoning over computation, so success depends on developing problem-solving habits over time rather than memorization and last-minute study.

Students should begin preparing well before the first contest, ideally at the start of the school year. Coaches are advised to schedule multiple practice sessions prior to Contest 1, with regular practice continuing throughout the season.

2. Maximize practice materials.

The most effective preparation resource is past MOEMS contest problems. Registered teams receive the previous two years of official problems and solutions, which closely reflect current difficulty and style. Working through these problems helps students recognize common themes and reasoning patterns. Additional practice is available through MOEMS-published problem books, which contain hundreds of prior contest problems with solutions.

Students should solve problems and also review official solutions and why they work, especially for missed or partially solved questions.

3. Improve your problem-solving skills.

MOEMS problems often allow multiple solution paths. During practice, students should explore different approaches to the same problem by using logical reasoning, casework, pattern recognition, or visual strategies. Coaches commonly emphasize core techniques such as drawing diagrams, working backward, making organized lists, and testing small cases. Flexible strategy selection is more valuable than speed alone.

Students should identify weak areas (for example, geometry or counting problems) and target those topics in practice. At the same time, basic skills such as arithmetic accuracy and fraction manipulation should also be reinforced.

4. Consider your contest-day strategy.

Each contest allows 30 minutes for five problems, averaging six minutes per problem. Students should quickly scan all problems at the start, solve easier problems first, and return to more difficult ones if time permits. There is no penalty for incorrect answers, so students should attempt every problem.

Careful reading is critical. MOEMS problems often hinge on precise wording, and misinterpreting the question is a common source of lost points. Students should write out their reasoning clearly on scratch paper, draw diagrams when appropriate, and stay organized to reduce errors.

If time allows, students should review their answers, recheck calculations, and confirm that their solution addresses exactly what the problem asks for.

5. Consider the contest as an ongoing improvement.

MOEMS is a five-contest season, and performance often improves over time. After each contest, students should review their results, note recurring mistakes, and adjust their preparation accordingly. One difficult contest does not determine the season outcome, and steady improvement across contests is common among high-performing students.

Math Olympiads for Elementary and Middle School (MOEMS) Previous Winners

To inspire you, let’s talk about a few examples of previous MOEMS winners and the notable achievements they earned in the competition.

In the 2019–2020 MOEMS, students from Mathnasium Acton–Concord–Burlington–Lexington Centers in Massachusetts achieved multiple top individual and team honors.

In Division E, four students earned first-place finishes and received Gold Medals, the Dr. George Lenchner Award, and Highest Individual Scorer trophies, with additional students earning Honor Roll recognition, Gold and Silver Logo Pins, and team awards from a field of more than 39,000 participants nationwide.

In Division M, an eighth-grade student placed first overall and received the Gold Medal and Highest Individual Scorer honors, while other team members earned Honor Roll recognition and medal distinctions among nearly 8,900 competitors.

In January 2025, ten students from the American Heritage School’s Broward campus earned perfect scores in Round 2 of MOEMS, spanning grades five through eight, marking one of the largest groups of perfect scorers recognized in a single round.

Frequently Asked Questions

1. How hard is the Math Olympiads for Elementary and Middle School (MOEMS)?

Math Olympiads for Elementary and Middle School is challenging since problems go beyond routine schoolwork and emphasize logic, creativity, and multi-step reasoning rather than relying on memorized formulas.

2. How many hours should you study for the Math Olympiads for Elementary and Middle School (MOEMS)?

Plan for about 1 hour per day during the season. Consistent weekly practice over several months is more effective than cramming.

3. Do you need to memorize everything for the Math Olympiads for Elementary and Middle School (MOEMS)?

No. MOEMS does not reward memorization. Success depends on understanding concepts, applying strategies, and reasoning through unfamiliar problems.

4. When is the Math Olympiads for Elementary and Middle School (MOEMS)?

MOEMS runs as five monthly contests from November through March, with one contest administered each month during that window.

Takeaways

• Strong performance in Math Olympiads for Elementary and Middle School (MOEMS) reflects advanced mathematical reasoning, consistency, and the ability to solve non-routine problems across topics such as arithmetic, geometry, number theory, and logic.
• Each year, more than 120,000 students worldwide participate in MOEMS through a five-contest season, yet only a relatively small percentage earn top distinctions such as Gold or Silver Pins, team plaques, or perfect scores.
• The MOEMS season follows the academic calendar, with monthly contests typically held from November through March, emphasizing sustained performance rather than a single high-stakes exam.
• Not sure how to position a strong Math Olympiads for Elementary and Middle School (MOEMS) result on your college application? A college admissions expert can help frame it as evidence of early mathematical ability, sustained commitment, and advanced problem-solving, qualities valued by highly selective colleges.