The William Lowell Putnam Exam is the premier undergraduate Mathematics competition in the US and Canada. It is given annually on the first Saturday in December and consists of 6 problems in each of two 3-hour sessions. The problems are always challenging, and a score of one correct problem usually places a student in the top quartile. Here is a nice article by Bruce Reznick (former Putnam problem-writer and professor at UIUC) on writing Putnam problems:
I will be running Putnam problem solving sessions for ISU undergraduate students - Wednesdays at 4:25pm in Carver 400. Typically we will talk about problems from the previous week, discuss a new idea or problem strategy, and hand out problems for the following week. The hope is that students might solve a couple and be willing to present solutions a week later.
2021 Problem Sets:
2020 Problem Sets:
Older Problem Sets: