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The Math League – 10 Tips to Win It as a Middle Schooler

Writer's picture: Stephen TurbanStephen Turban

If you’re an academically motivated middle schooler, you should strongly consider participating in state or national academic challenges to help build your knowledge and demonstrate your expertise. Participating in academic contests like the Math League, the subject of our blog today, can significantly enhance your middle school experience and bolster your high school applications. Engaging in such competitions not only showcases your mathematical abilities but also demonstrates your commitment to academic excellence, problem-solving skills, and the ability to thrive under pressure—all qualities that will do wonders for you in high school and beyond.


What is the Math League?

The Math League organization runs the largest network of local and state mathematics competitions in the United States, running more than 400 contests involving more than 30,000 students annually. It organizes contests for elementary, middle, and high schoolers at the state and national levels, to encourage them to engage with mathematics beyond the standard curriculum. These competitions expose you to a broad range of topics, including number theory, statistics, probability, combinatorics, algebra, and geometry. By participating, you will be able to develop critical problem-solving strategies and have the chance to collaborate during team rounds, fostering both individual and collective mathematical growth.


Is the Math League prestigious?

Absolutely. The Math League holds a significant place in the academic community, with over 30,000 students participating annually across various grade levels. This extensive participation reflects the competition's depth and the comprehensive learning it offers. Engaging in The Math League connects you with a vast network of peers who are passionate about mathematics, providing an exclusive advantage in your academic journey. Surmounting the difficulty of the challenge at the national level in particular is a stamp of excellence on your profile, providing tangible proof of your academic prowess.


Who is eligible to participate?

To participate in The Math League's middle school contests, you must be enrolled in a grade no higher than 8. More importantly, your school must have a current membership with the Math League.


How do you apply and how is the competition structured?

Participating in the Math League requires participation in one of the many contest events that take place locally, online, or on demand. Each month provides a release of a problem set, and partner schools and sponsors are able to conduct events. These events may be:

  • In-person at a testing venue hosted by a member school or sponsor.

  • Online in a live proctored Zoom meeting.

  • On-Demand where you’re able to take the tests on your own at any time during a designated window of opportunity.


You will need to form a team of 1- 4 students from your middle school, and your team will need to be nominated by your school.

The contest events consist of several rounds:

  • Sprint Round: A 40-minute session with 30 questions, focusing on quick problem-solving without the use of calculators. Each correct answer earns one point.

  • Target Round: Comprising four pairs of problems, with 6 minutes allocated per pair. Calculators permitted. Each correct answer awards one point.

  • Team Round: Teams of up to four students collaborate for 20 minutes to solve 10 questions. Calculators are allowed. Each correct answer is worth one point.

  • Countdown Round: A head-to-head competition where top individuals answer questions promptly without calculators.


Individual scores are calculated by adding the Sprint Round score to twice the Target Round score, with a maximum possible score of 46 points. Team scores combine the average of the top four individual scores with twice the Team Round score, aiming for a maximum of 66 points. Your individual scores are what contribute to your selection for the State and National rounds. 


7 tips to excel in the Math League

  1. Master the basics: Math League papers involve deceptively challenging problems that require clever use of fundamental mathematical concepts. So the first step is to ensure that you have a strong grasp of these concepts and are well-practiced in their applications.

  2. Practice with past papers: Practice makes perfect. Regularly work through previous contest problems to familiarize yourself with the question formats and difficulty levels. This will minimize the amount of surprises you have to deal with during the exams themselves and allow you to focus your energy on solving the questions rather than deciphering them.

  3. Build your time management skills: Like any exam, Math League challenges require you to balance speed with accuracy, particularly for the Sprint Round where you cannot use calculators and have barely over a minute per question. You will need to develop strategies to allocate your time effectively during each round. One technique could be doing the paper in multiple passes: the first pass for extremely quick, easy answers, the second pass for questions requiring some calculation and effort, and the final pass for revision as well as attempting hard questions.

  4. Learn to efficiently use a calculator: The Target and Team rounds allow calculator usage, and practicing how to most efficiently use your calculator will greatly pay off in your time management and help you avoid basic mistakes.

  5. Play to your team’s strengths: Enhance your communication and teamwork skills to perform optimally in the Team Round. Whether you work in parallel, with one team member doing calculations while another cross-checks solution steps, or in sequence with each teammate dedicated to one step in the process, specialization will help you perform with greater effectiveness.

  6. Try to simulate test conditions: Practice under timed conditions to build comfort and reduce anxiety during the actual competition. You can reach out to teachers, mentors or even parents to help you set up a competition environment with timed conditions and invigilation.

  7. Learn from your mistakes: Review incorrect answers thoroughly to understand your errors and avoid repeating them. This is another area where the help of a teacher or mentor will come in handy, as they will be able to better direct you towards areas of improvement and practice.


We hope these tips help you excel in the Math League competitions. The Math League is a highly valuable opportunity to hone your mathematical ability and obtain proof of your skill for future endeavors. These 7 tips should be a good starting point for honing your efforts and give you a fighting chance at securing a winning spot. We wish you all the best!


One other option—the Lumiere Research Scholar Program

If you’re interested in pursuing independent research, consider applying to one of the Lumiere Research Scholar Programs, selective online high school programs for students founded with researchers at Harvard and Oxford. Last year, we had over 4,000 students apply for 500 spots in the program! You can find the application form here.


Also check out the Lumiere Research Inclusion Foundation, a non-profit research program for talented, low-income students. Last year, we had 150 students on full need-based financial aid!


Stephen is one of the founders of Lumiere and a Harvard College graduate. He founded Lumiere as a PhD student at Harvard Business School. Lumiere is a selective research program where students work 1-1 with a research mentor to develop an independent research paper.


Image Source - The Math League Logo



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