The Department of Mathematics invites all CUA students to compete, for the fun of it, in a mathematics contest. The contest consists of mathematical problems or puzzles which can be understood by anyone with the usual high school mathematics background. The most successful contestants will be invited to the Mathematics Department end-of-semester party to receive prizes. There will be prizes for the students who solve the most problems and for those who submit the most interesting or original solutions (even if for only one problem).
Send your solutions by November 28, 2023 to Dr. Alexander Levin at the Mathematics Department, firstname.lastname@example.org. They need not be typed but should be legible and should show or explain how you solved the puzzle.
The questions are below, you can also see the full PDF version at this link.