Berkeley Math Tournament (BMT) Online加州伯克利大学数学锦标赛（线上赛）

竞赛简介

Introduction

加州伯克利大学数学锦标赛(Berkeley Math Tournament，简称BMT)，是一年一度由加州伯克利大学举办的数学盛会。BMT分为BmMT (Berkeley mini Math Tournament)和BMT(Berkeley Math Tournament)，其中BmMT面向初中和小学高年级学生开放，BMT面向高中生开放。学生可以根据是否能到达伯克利校园参赛选择参加BMT线下赛或线上赛。

由加州伯克利大学背书的数学竞赛，其含金量不言而喻，对于专业兴趣方向与数学有关的学生来说，是锻炼数学能力、丰富学术背景、为大学申请增光添彩的绝佳机会。

本文主要介绍BMT线上赛，主要针对无法到达伯克利校园现场参赛的学生。

The Berkeley Math Tournament Group hosts and organizes mathematical contests for middle and high school students. BmMT is open to middle school students in grades 8 or below. BMT is open to students in grade 12 or below.

Here we will introduce BMT Online for those who are unable to travel long-distance to California, or weren't able to register for BMT due to capacity limitations.

竞赛时间

Schedule

2025线上锦标赛时间安排：

11月29日-11月30日，Power Round

（自主调配时间自行完成试题）

12月6日，Power和Focus/General Rounds

（实时直播）

The online tournament will consist of an asynchronous Power Round on November 29–30, 2025, as well as the live event, including the Guts and Focus/General rounds on December 6, 2025.

参赛资格

Eligibility

必须是12年级及以下；

无需就读同一高中；

不能参加过同一年任何其他一场BMT比赛。

Students must be in grade 12 or below to be eligible for BMT.

Students do not have to be from the same school.

Students must not have competed in a prior iteration of BMT 2025, including the California version or any of our satellites.

竞赛流程

Contest Format

能力轮（自主调配时间自行完成试题）

能力轮是以证明为基础的团队赛。参赛者将回答围绕一般数学竞赛中不常见主题展开的一系列问题，最终在该主题领域得出答案。对所有问题（除非另有说明），各团队需用完整句子为其论断提供严谨的数学论证。

能力轮的主题预计涉及大学本科数学水平，但不需要参赛者具备深厚的数学背景。

Power Round (Async)

The Power Round is a proof-based team round. Contestants will answer a series of questions centered around a single topic not typically seen in competitive mathematics, culminating in incredible results in the field of that chosen topic. For all questions (unless stated otherwise), teams will need to provide a rigorous mathematical justification for their assertions in full sentences.

The topic for the Power Round will likely be at an undergraduate level, but no substantial previous mathematical background is expected.

个人赛

个人赛阶段，学生可选择参加综合测试或两项专项测试。

综合测试（90分钟）

综合测试为个人赛，涵盖专项测试各科目的题型。本测试难度低于专项测试，强烈建议竞赛经验较少的学生选择。

专项测试（60分钟）

专项测试设代数、几何、离散数学（组合与数论）、微积分四个科目，每科10题。每位学生可参加其中两项测试。

Individual Round

For the Individual Round, students may choose to take either the General Test or two Focus Tests.

General Test (90 mins)

The General Test is an individual test consisting of questions across the various subjects that comprise the Focus Tests. This test is intended to be easier than the Focus Tests and is highly recommended for students with less prior contest experience.

Focus Tests (60 mins)

There are four Focus Tests of 10 questions across four subjects — Algebra, Geometry, Discrete (Combinatorics and Number Theory), and Calculus. Each student can participate in two Focus Tests.

速解轮（75分钟）

速解轮包含9组题目，每组3道数学领域综合试题。本轮核心规则是：必须提交当前题组后方可获取下一题组。所有团队可通过实时积分榜查看当前排名。

Guts Round (75 mins)

The Guts Round consists of 9 sets of 3 problems across various subjects in math. The key feature of this round is that each set must be turned in before the next set is given. All teams can see a live scoreboard with their standings.

评分标准

Scoring

个人赛的排名仅基于考生所选试内的成绩。个人轮次得分由正确答案的数量决定，每答对一题计1分，即题目之间没有权重差异。

团队总分由团队在团体轮次的得分与队员个人轮次得分共同决定，具体权重见下方汇总表格。在计算团队加权分数时，各测试分数将按前10名平均分或前10%分数（以覆盖更多考生/团队为准）进行标准化处理。此外，若考生参加综合测试而非两个专项测试，其得分仅按专项测试组合的一半分值计算。

11/29-30举行的综合能力轮次不计入团队总成绩，该轮次将设有独立排名体系。

伯克利数学锦标赛将提供官方排名，并为高分团队提供获奖证书。

Individuals are only ranked within the tests they choose to take. Individual Round scores are determined by the number of correct answers. Each correct answer is worth 1 point, i.e. there is no weighting among the problems.

Team scores are determined based on a combination of teams' scores on the Guts Round and the Individual Round scores of their team members. The weights are displayed in the table in summary table below.

When weighting team scores, scores for a given test will be normalized by either the average of the top 10 scores or the top 10% of scores, whichever represents more students/teams. Additionally, if a student takes the General Test instead of the two Focus Tests, their score will only count for half as many points as the Focus Test combinations would.

The asynchronous Power Round will not be counted towards the overall team score; we will have a separate ranking category for the Power Round.

BMT will provide an official ranking as well as certificates for top-scoring teams.

Reference: https://berkeley.mt/events/bmt-2025-online/