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.  

January Challenge

Frog Reversal

Six frogs have hopped onto the first six of seven squares.  Unfortunately, they have arrived in reverse order.  The frogs would like to rearrange themselves so their numbers are increasing.  A frog may slide to an adjacent open square, or may hop over exactly one other frog, landing on an empty square, but no other moves are allowed.

The Challenge: What is the least number of hops and slides required for the frogs to reverse their positions?

challenge art

Submit solutions to Ross 2239G or by email to oscar.levin@unco.edu.
Deadline: Tuesday, January 31.

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

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