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2025 Math League Finals and Summer Tournament – Pre-Tournament Learning and Training (Grades 6–9)

The 2025 Math League Finals and Summer Tournament for Grades 6–9 in the United States will be held from July 20, 2025 (check-in date) to July 28, 2025 (check-out date).

However, for students, the Finals and Summer Tournament experience begins earlier — on May 19, 2025. From May 19 to July 20, the Math League committee has arranged a structured program of pre-tournament learning and training to help students prepare.


  • There are eight weeks from May 19, 2025 until the students’ departure for the United States. Each week, we will send students electronic study materials and assessment questions by email.

    These materials are specially designed for students participating in the Finals and Summer Tournament. They are prepared by professors from the Math League, Columbia University, Princeton University, and Williams College.

    This pre-departure training plays a vital role in helping students perform well in the Finals and fully engage in the academic and cultural experience of the Summer Tournament.

  • Why Participate in Pre-Tournament Learning and Training?
    In past years, many students have not performed to their full potential in the Finals or fully benefited from the academic experience of the Summer Tournament. A key reason is the gap in understanding of American mathematics content and teaching methods.

    U.S. mathematics education is often heuristic, application-oriented, exploratory, research-driven, and closely connected to real-life contexts. The style is typically more relaxed, engaging, and focused on inquiry and creativity — a contrast to the traditional approach in many classrooms.

    Without preparation, students may struggle to fully follow or appreciate the lectures by professors from top U.S. universities during the Finals and Summer Tournament. They may also miss opportunities to participate actively or perform at their best.

    Participating in pre-tournament learning and training helps students:
    • Familiarize themselves with American-style math instruction
    • Bridge cultural and academic gaps
    • Gain confidence before traveling abroad
    • Deepen their appreciation for the knowledge, exploration, and fun that the program offers
    Ultimately, this preparation helps students maximize both their performance and their enjoyment of the Finals and Summer Tournament.

  • Pre-tournament learning and training are designed to align with the teaching content delivered by professors during the Finals and Summer Tournament. This preparation helps students fully understand, engage with, and benefit from the professors’ instruction during the program.

  • Pre-tournament learning and training include, but are not limited to, the following:
    • American “Gifted Class” courses and exercises designed to cultivate students’ creative thinking, critical thinking, and problem-solving skills.
    • Analysis of past final exam questions to help students develop mathematical reasoning in English, master relevant English math vocabulary, and gain a deeper understanding of problem-solving strategies.
    • Preview of professors’ lecture content to ensure students are better prepared to follow and understand the material during the Finals and Summer Tournament.
    • Study and analysis of test questions from other top U.S. math competitions, broadening students’ perspectives and exposure to diverse problem types.
    • Mathematics and Innovation – exploring how creativity and innovation play a role in mathematical thinking.
    • Comparative study of math education in Asia and the United States, helping students adapt to different instructional styles and learning environments.
    • Weekly training materials include key concept explanations, student learning handouts, and assessment questions. Answers to weekly assessments will be shared the following week.

  • In addition to the weekly learning materials and assessment questions, senior professors of the Math League also give live video lectures to students, explaining some of the final questions (Individual Round and Team Round Questions) of the Math League 2024, 2023, and 2019, and answering students' questions. (Due to the epidemic, no finals and summer tournaments were held from 2020 to 2022.) (The live video lectures are 7.5 hours in total, divided into 5 lectures, each lasting 1.5 hours.)