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 monthly.  

April Challenge

Frog Party

Six frogs sit on six lily pads arranged in a circle.  The frogs wish to party, and as such must all hop to a single pad.  So that things do not get too crazy, they agree that exactly two frogs will hop at a time, and that frogs will only hop to one of the two pads adjacent to their current location.  The frogs wonder what is the fastest they can all arrive on a common pad.

The Challenge: Prove that no matter what, the frogs will never all occupy a common lily pad.

challenge art

Submit solutions to Ross 2239G or by email to oscar.levin@unco.edu.
Deadline: Friday, April 28.

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.

 

Previous Problems

2016-2017

September Challenge | October Challenge | November Challenge | January Challenge | February Challenge | March Challenge | April Challenge

2015-2016

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 2 | April Challenge

2014-2015

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

2013-2014

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 2 | April Challenge 1 | April Challenge 2

2012 - 2013

September Challenge | October ChallengeNovember Challenge | January Challenge | February Challenge  | March Challenge  | April Challenge

2011 - 2012

September Challenge | October Challenge | November Challenge | January Challenge | February Challenge 1 | February Challenge 2 | March Challenge | April Challenge