# PUMaC: Princeton University Mathematics Competition PUMaC (Princeton University Mathematics Competition) is one of the most prestigious and competitive high school mathematics tournaments in the United States, hosted annually by Princeton University's undergraduate math community. Held each fall on Princeton's campus in New Jersey, PUMaC attracts hundreds of the nation's brightest mathematical minds to compete in a rigorous, college-campus experience unlike any other math tournament. ## What Is PUMaC? PUMaC was founded in 2006 by Princeton University students passionate about fostering mathematical excellence among high schoolers. The competition is organized, run, and proctored entirely by Princeton undergraduates—many of whom were high school math competitors themselves—creating a uniquely mentorship-driven atmosphere. The competition spans a full day and includes multiple rounds: - **Individual Tests**: Students choose two subject areas from Algebra, Combinatorics, Geometry, and Number Theory, taking 30-minute tests in each - **Team Round**: An 80-minute collaborative problem-solving round for the full team of 8 students - **Power Round**: A proof-based, multi-part problem set completed as a team the week before the in-person event - **Relays**: Fast-paced, communication-dependent relay rounds where answers pass between teammates ## Why PUMaC Matters for College Applications Performing well at PUMaC is a meaningful signal to college admissions committees, especially at highly selective institutions. Princeton, MIT, Harvard, and peer schools are well aware of PUMaC's difficulty and prestige. A top individual finish or strong team placement demonstrates sustained mathematical ability, competition experience, and intellectual ambition. Because the competition is organized by Princeton students, attending PUMaC also gives high schoolers a glimpse into the culture of elite university mathematics departments—an invaluable experience if you're considering STEM at a top college. ## Who Should Apply? PUMaC is best suited for students who: - Have competed in MATHCOUNTS, AMC 10/12, AIME, or state-level math leagues - Are comfortable with proof-based problem solving (for the Power Round) - Want to experience a college campus competition environment - Have a team of up to 8 students from their school Teams with no prior competition experience are welcome, but the problems are genuinely difficult—expect AMC/AIME-level challenges throughout. ## Competition Format & Timeline PUMaC typically takes place in **November** each year. Registration opens in September and spots fill quickly—teams must register early. The Power Round packet is distributed prior to the in-person event and submitted as a PDF. Individual and team rounds occur on the day of the competition. Awards are given for: - Top individual scorers per subject area - Top overall individual composite scores - Top team Power Round scores - Top overall team scores ## Cost & Travel Teams are responsible for their own travel and accommodation. Princeton is accessible by NJ Transit from New York Penn Station or Philadelphia. Registration fees are modest—typically $10–$15 per person—kept low intentionally to maximize access. ## How to Prepare The PUMaC website maintains an archive of past competitions with answer keys and solutions. Working through past Power Rounds is especially valuable. Strong preparation resources include: - Art of Problem Solving (AoPS) textbooks in Algebra, Combinatorics, and Number Theory - Past AMC 12 and AIME problems - Past PUMaC individual and team rounds (all free on the official site) - Art of Problem Solving's online competition forums PUMaC represents the gold standard of college-run high school math competitions. For serious math students, competing at PUMaC is a bucket-list experience—and a strong result here distinguishes you on any college application.