The Bennett contest exam is a competition held at The University of Texas Mathematics Department at the end of every regular semester. Participation is limited to UT students who are finishing the Calculus sequence that semester. The questions are based on the topics covered in the Calculus courses, but require more than the usual amount of persistence and cleverness. There are cash prizes for the top scorers.
There are also Bennett competitions in Linear Algebra and in Differential Equations, held annually in alternating semesters, for students who have taken the relevant courses within the preceding 11 months.
UT students interested in taking the Putnam exam in December should check out the department's Putnam page. This is an extremely difficult exam in which the problems typically require an understanding of core undergraduate-level mathematics such as Real Analysis and Abstract Algebra. We typically hold weekly prep sessions every Fall.
I am not directly involved with these but recommend them to students who want some mathematical opportunities outside the classroom:
I have had the good fortune to be involved with the recognition of stellar undergraduates, in some cases meaning they become recipients of scholarships, prizes, and awards.
I have a few things to say about the word game Wordle
A URL for the page you are reading is
http://www.ma.utexas.edu/users/rusin/index.html