ACU Mathematics Problem of the Week


Problem 1- October 16, 2017

The Problem of the Week competition, sponsored by Mu Sigma, is now live.  This week’s problem can be found below or slips of paper with the problem description can be found on the main bulletin board in the math department.  Students have two weeks from issuance of the problem to construct a solution.  Simple answers will not suffice for most problems.  Your solution must demonstrate a solution method and communicate some understanding of that method to qualify.  Students with correct responses will be identified on this blog and the math bulletin board, and the student or students with the most correct responses during the year will be recognized at the departmental dinner each spring.  This competition is open to all students regardless of major or affiliation with the department.  You may return your solutions to Gaye in the math office any time before noon on the final day.

Issued:  Monday, October 16th
Return Solutions By: Monday, October 30th


How Many Rectangles?
This problem was provided by Michael Khoury, US Math Olympiad Team Member.

Problem:  How many rectangles (of any size) are present on a standard 8×8 chessboard?

Solutions will be posted at the Problem of the Week Home Page after submissions are due.