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Exploring the World of Math Contests: A Complete Guide

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The world of mathematics is vast and filled with intriguing problems and puzzles waiting to be solved. One way for individuals to challenge themselves and apply their mathematical skills is through participating in math contests. These competitions provide an avenue for students to develop their abilities while connecting with like-minded peers who share a love for mathematics.

What are Math Contests?

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Math contests, also commonly referred to as math competitions or Olympiads, are competitive events that test participants’ proficiency in various areas of mathematics. They usually consist of challenging problems drawn from different branches of mathematics such as algebra, geometry, number theory, combinatorics, and other topics. These competitions are designed to foster interest in and appreciation for mathematics as well as encourage students to develop their problem-solving skills and stretch their creative minds.

Benefits of Participating in Math Contests

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Aside from the excitement and challenge that math contests provide, they also offer numerous benefits that can contribute to personal and academic growth:

  • Enhanced Problem-Solving Skills: Math contests expose students to a wide range of problems that require creative, innovative, and analytical thinking. By participating in such events, students develop their ability to approach, analyze, and solve complex problems efficiently.
  • Opportunity to Learn Problem-Solving: As students prepare for math contests, they learn problem-solving techniques. If they have a qualified teacher or tutor teaching them, they can learn various techniques for solving complex problems from them. Problem-solving skills they learn become useful in university and workplace later in their life.
  • Recognition and Awards: Successful performance in math contests often leads to recognition and awards, which can be beneficial for college applications and future careers by showcasing a student’s strong mathematical skills and dedication.
  • Growth Mindset: Numerous studies show that a growth mindset—the belief that intelligence can be developed—is crucial for success in mathematics. By participating in math contests, students challenge themselves beyond their comfort zones, embrace failure as an opportunity to learn, and ultimately cultivate a growth mindset.
  • Networking Opportunities: Math contests bring together individuals with similar interests, providing a unique platform for participants to network with peers, mentors, and experts in the field of mathematics.
  • Promotion of Interest in STEM Fields: Participation in math contests has been shown to increase students’ interest in pursuing further education and careers in Science, Technology, Engineering, and Mathematics (STEM) fields.

List of Math Contests

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There is a wide array of math competitions available for students across different age groups and skill levels. Some cater only to a specific region or country, while others provide an international platform for students to compete. Here is an overview of several prominent math contests:

The American Mathematics Competitions (AMC) series

Run by the Mathematical Association of America (MAA), this series includes three main contests – the AMC 8 for middle school students, AMC 10/12 for high school students, and the American Invitational Mathematics Examination (AIME) for the top-performing students in AMC competitions. These contests primarily focus on problem-solving, critical thinking, and creative expression.


A national competition targeted at middle school students in the United States, MathCounts aims to foster an enthusiasm for mathematics through fun and engaging activities. The competition includes written contests, collaborative team rounds, and countdown rounds for fast-paced, head-to-head problem-solving.

Math Kangaroo

Math Kangaroo is an international mathematical competition held annually for students in grades 1-12. Established in 1991, the contest aims to promote a love for mathematics and develop critical thinking skills among participants. Over six million students from more than 80 countries participate, solving challenging problems that test their creativity and logical reasoning.

Noetic Learning Math Contest

The Noetic Learning Math Contest (NLMC) is a biannual mathematics competition for elementary and middle school students, aimed at inspiring young minds to excel in math. Organized by Noetic Learning, the contest features challenging problems that encourage creative problem-solving skills. Participants receive national recognition, with top scorers earning medals, team winner certificates, and National Honor Roll titles.

CEMC Gauss Contest

The CEMC Gauss Contest is an annual mathematics competition organized by the Centre for Education in Mathematics and Computing (CEMC) at the University of Waterloo, Canada. Designed for students in grades 7 and 8, the contest aims to foster interest in mathematics and develop problem-solving skills. Participants solve 25 multiple-choice questions within a 60-minute timeframe, with top performers receiving certificates and medals.


MathCON is an annual national mathematics competition that brings together thousands of middle and high school students from across the United States. The contest, which is organized by the non-profit organization Concept Schools, aims to promote STEM education and inspire students to excel in mathematics through engaging and challenging problems.

Canadian Open Mathematics Challenge (COMC)

The Canadian Open Mathematics Challenge (COMC) is an annual national competition organized by the Canadian Mathematical Society. Open to students in grades 7-12, the contest aims to foster mathematical talent and promote problem-solving skills. Participants compete for awards, scholarships, and qualification for the Canadian Mathematical Olympiad, a prestigious event for high school students.

Euclid Mathematics Contest

The Euclid Mathematics Contest is an annual high school mathematics competition organized by the University of Waterloo’s Centre for Education in Mathematics and Computing (CEMC). Established in 1963, the contest aims to develop students’ problem-solving skills and foster their interest in mathematics. Participants from across Canada and around the world compete by solving 10 challenging mathematical problems.

Purple Comet! Math Meet

The Purple Comet! Math Meet is an annual, international, online mathematics competition designed for middle and high school students. Launched in 2003, the contest aims to foster enthusiasm for mathematics by offering challenging problems in a fun and engaging format. Teams of up to six students participate, solving problems collaboratively within a 90-minute time frame.

American Invitational Mathematics Examination (AIME)

The American Invitational Mathematics Examination (AIME) is a prestigious, invitation-only math competition for high school students in the United States. Organized by the Mathematical Association of America (MAA), the AIME aims to identify and encourage talented young mathematicians. Participants qualify through exceptional performance on the American Mathematics Competitions (AMC) 10/12. The AIME consists of 15 challenging problems, with a time limit of 3 hours, and serves as a gateway to the USA Mathematical Olympiad (USAMO).

United States of America Mathematical Olympiad (USAMO)

The United States of America Mathematical Olympiad (USAMO) is a prestigious, invitation-only math competition for high school students in the United States. Organized by the Mathematical Association of America (MAA), the USAMO aims to identify and encourage exceptional mathematical talent. Participants are selected based on their performance in the American Mathematics Competitions (AMC) and the American Invitational Mathematics Examination (AIME). The top performers in USAMO are invited to join the USA International Mathematical Olympiad (IMO) team.

United States of America Junior Mathematical Olympiad

The United States of America Junior Mathematical Olympiad (USAJMO) is a prestigious, invitation-only math competition for middle and high school students in the United States. Organized by the Mathematical Association of America (MAA), the contest aims to identify and encourage exceptional mathematical talent. Participants are selected based on their performance in the American Mathematics Competitions (AMC) and the American Invitational Mathematics Examination (AIME). The USAJMO challenges students with six proof-based problems over a two-day period, fostering creativity and problem-solving skills.

Harvard-MIT Mathematics Tournament

The Harvard-MIT Mathematics Tournament (HMMT) is an annual high school math competition held in February, organized by students from Harvard University and the Massachusetts Institute of Technology. Established in 1998, the contest attracts over 900 participants from across the United States and around the world, testing their problem-solving skills in algebra, geometry, combinatorics, and number theory.

International Mathematical Olympiad (IMO)

Renowned as the most prestigious math competition globally, the IMO brings together the best young mathematicians from around the world to compete in a challenging two-day event. To participate, students must first qualify through their country’s selection process, which usually involves multiple rounds of national tests and training programs.

European Girls’ Mathematical Olympiad (EGMO)

Created to encourage more female participation in mathematical pursuits, the EGMO is an international competition explicitly designed for female high school students. Similar to the IMO, participants must qualify through their country’s selection process to compete in this prestigious event.

Preparing for Math Contests

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Preparation for math contests generally involves a combination of practice problems, self-study of relevant mathematical concepts, and working with peers. Here are some tips to help you prepare effectively:

  • Find a study group or club where you can work collaboratively with peers who also have an interest in math contests.
  • Take advantage of online resources such as blogs, forums, and websites that offer practice problems and advice on preparing for math contests.
  • Participate in mock exams or previous years’ contests to gain a better understanding of the format and level of difficulty of the problems.
  • Seek guidance from teachers, mentors, or coaches who have experience with math contests and can provide valuable insights and advice.
  • Find a tutor or a tutorial program that specializes in math contests.

Is There Any Downside To Doing Math Contests?

There are a few potential downsides to participating in a math contest, but they generally depend on the individual’s perspective and circumstances.

  • Stress and anxiety: Math contests can be stressful for some students, as they may feel pressure to perform well or worry about being compared to their peers.
  • Time commitment: Preparing for and participating in a math contest can require a significant amount of time, which might interfere with other academic or extracurricular activities.
  • Focus on competition: Some people argue that math contests promote an unhealthy focus on competition rather than collaboration and learning for the sake of understanding.
  • Narrow focus: Math is much more than just solving questions on paper, and success in math is more than getting questions right. However, math contests may give students the wrong idea that math is just about getting paper questions right.
  • Limited scope: Math contests often focus on specific types of problems or areas of mathematics, which may not align with a student’s interests or strengths.
  • Cost: There may be fees associated with participating in a math contest, such as registration fees or travel expenses, which could be a barrier for some students.
  • Potential disappointment: Not everyone will win or perform as well as they hoped in a math contest, which could lead to feelings of disappointment or discouragement.

Participating in a math contest can be an exciting and enriching experience for many students. However, it is essential to recognize the potential drawbacks of engaging in such competitions, particularly if a student is struggling with basic math concepts. Math contests generally demand a strong foundation in fundamental math skills, including calculation abilities and elementary geometry knowledge. This is due to the emphasis on critical thinking in these contests, which necessitates that participants have a solid grasp of mathematical theories, formulas, and concepts relevant to their grade level.

Preparing for a math contest can be time-consuming, often requiring months of dedication if a student is genuinely committed. The preparation process typically involves honing problem-solving and critical thinking skills rather than revisiting basic concepts. Consequently, students who lack this foundational knowledge may find themselves ill-equipped for success in a math contest. In my experience, those who struggle with basic math skills often face difficulties in performing well during such competitions.

If a student invests significant time and resources into preparing for a math contest but ultimately does not perform well, this can lead to wasted efforts and financial investments. Furthermore, the disappointment of not achieving success may result in disinterest or even aversion to mathematics as a subject. While challenging oneself can be beneficial, it is crucial for parents to consider the potential downsides of math contests if their child is already grappling with difficulties in school. By being aware of these potential pitfalls, parents can make more informed decisions about whether participating in such competitions would be advantageous or detrimental for their child’s educational journey.


In conclusion, math contests offer captivating opportunities for young mathematicians to challenge themselves while fostering an appreciation for mathematics. There are a variety of contests available to suit different age groups and skill levels—each providing its own unique set of benefits. However, as a parent, you’ll also want to be aware of potential downsides of math contests.