The Princeton University Mathematics Competition (PUMaC) is a student-run competition organized by the Princeton University Math Club since 2006 in Princeton, NJ. 2017 competition was held on Princeton campus on November 18th. You can find all the previous years’ problems and solutions here which can be very helpful to prepare for this competition. I would highly recommend to read the FAQs before participating in this competition.
I found PUMaC to be very intense and challenging competition. One week before the competition, you get Power Round questions. Power Round is a tough and time consuming round. You get the opportunity to work with your team for a week on these problems. You submit the power round before the competition begins on the campus. You will take individual tests in two sections of your choice (algebra, number theory, combinatorics, geometry), then compete in a team round, a live Round, and if you qualify then the Individual Finals. Princeton student volunteers had fully organized this contest and I found them nice, warm, and welcoming whenever we had questions or clarifications. Besides fun math activities and delicious lunch, there was also a session about majoring in math at Princeton with Prof. Mark McConnell which was super helpful.
I really enjoyed being part of a competition team and I met most of my team members for the first time on the day before the competition. This competition challenges you individually and as a team which I found a great learning experience.