Rules

Teams of up to five high school students will compete in individual, team, and proof-based rounds. After the rounds are over, there will be social events and academic activities. The day will conclude with an awards ceremony congratulating the top-performing teams and individuals. 

• The proof round is an individual round. Students will have 60 minutes to solve 4 essay questions. 
• The first, second, third, and fourth problems will be worth 10, 20, 20, and 30 points respectively. 
• Partial credit will be given to (i) submissions that do not solve the problem but make substantial progress and (ii) almost-complete solutions that have mistakes. As such, students are encouraged to submit any non-trivial progress.
• Participants are expected to write arguments in prose, with equations and diagrams as necessary to explain ideas. For geometry diagrams, students are encouraged to submit an accurate, page-sized diagram to accompany their solution.
• Students may only use paper, writing utensils, protractors, compasses, and rulers during the proof round. In particular, reference materials, calculators, and computers are not allowed.
• Students are allowed to cite named theorems and results (e.g. Law of Cosines), as long as they do not trivialize the problem. Students are encouraged to prove any lemmas or results if they are not sure that it is “well-known”. The CUBRMC Committee reserves the final judgment on whether a proposed solution is valid within these guidelines.

• Students will have 120 minutes to solve 16 short-answer questions.
• Students may only use paper, writing utensils, protractors, compasses, and rulers during the proof round. In particular, reference materials, calculators, and computers are not allowed.
• Each problem will be worth 10 points. Should two participants answer the same number of problems correctly, a tie will be broken by considering the relative difficulty of the problems solved (which will be predetermined).
• Students should submit their answers on the official CUBRMC answer sheet provided. More details on formatting guidelines will be given on the day of the competition.

• Students will work in teams of up to five students to solve 10 short-answer questions in 30 minutes. Students not in predetermined teams will be randomly assigned to a team on the day of the competition.
• Students are encouraged to collaborate with team members to solve the problems, but they are not allowed to communicate with students on other teams or coaches for the duration of the round.
• Students may only use paper, writing utensils, protractors, compasses, and rulers during the proof round. In particular, reference materials, calculators, and computers are not allowed.
• Each problem on the team round will be worth 10 points.
• Students should submit their answers on the official CUBRMC answer sheet provided. Only one answer sheet will be submitted per team. More details on formatting guidelines will be given on the day of the competition.

• The top scoring teams and participants will be announced at the award ceremony.
• A team’s score will be calculated as the sum of its team round score and the average of its members’ individual scores. The top three teams will be awarded.
• An individual’s score will be calculated as the sum of their proof round and individual round scores. The top six individuals will be awarded.
• The top high school underclassman student and the middle school student will be awarded.
• The CUBRMC committee reserves final judgment on scoring.