You should come to the Problem Group meetings for fun, and also to help get a feel for the types of problems that show up on various math competitions like Lafayette’s weekly Team Barge Competition and the national Putnam Mathematics Competition. Contact Professor Smith for more information.
Try the old problem sets linked below. Don’t worry if you can’t solve any or many of the problems right away — we work on them as a group.
Some problem sets from fall 2014
Some problem sets from fall 2013
Some problem sets from fall 2008