Math Challenge Problem
The Math Challenge problem has returned to UNC's School of Mathematical Sciences! This is a problem that everyone is welcomed to try their hand at. New problems twice a month.
September Challenge 1
You have 15 3x1 rectangular tiles, plus one "L" shaped tile (made up of three 1x1 squares). You would like to use these tiles to cover the floor of your 7x7 dorm room. Of course doing so will leave a 1x1 square missing, but you figure you will put a plant there to cover up the hole.
The Challenge: Prove that such a tiling is possible, but that the missing square cannot be adjacent to the wall (i.e., on any side of the square).
Submit solutions to Ross 2239G or by email to firstname.lastname@example.org.
Deadline: Tuesday, September 15.
Win PRIZES! A winner will be selected from all correct answers received for each challenge problem to receive a fun math prize of his or her choice.
September Challenge 1 | September Challenge 2 | October Challenge 1 | January Challenge | February Challenge 1 | February Challenge 2 | March Challenge 1 | March Challenge 2 | April Challenge 1 | April Challenge 2
September Challenge 1 | September Challenge 2 | October Challenge 1 | October Challenge 2 | November Challenge 1 | November Challenge 2 | January Challenge | February Challenge 1 | February Challenge 2 | March Challenge 1 | March Challenge 1 | April Challenge 1 | April Challenge 2