Sample Problems


Featured Practice Problems

Check out the 2017 Challenge Problem: From Sea to Shining Sea: Looking Ahead with the National Park Service.

Chat with the Problem Author Dr. Neil Nicholson on Monday, March 13 2:30-4:00pm EST! 

Post your questions, ideas for starting, or solutions about the problem at any time for feedback in the "Comments" section below the problem.

2017 CHALLENGE PROBLEM


Modeling Scenarios: Levels 1, 2, and 3  

Several examples of the types of problems you may be asked to solve in the M3 Challenge are presented here.

It is highly recommended that participants read and work through some problems at each level before moving on

 

Level 1:

Modeling Scenarios [14K PDF]

This list is intended to give students a taste of some of the scenarios that may be presented as modeling problems in the M3 Challenge. This can be considered basic training material, designed to prompt targeted brainstorming.

List provided courtesy of William P. Fox, Department of Mathematics, Francis Marion University, Florence, SC.

Level 2: AIM Resource Books

Students:

A Backwater Curve for the Windsor Locks Canal [1.09MB PDF]

Budgeting Time and Money [382K PDF]

Pricing Auto Insurance [466K PDF]

Volcanic Eruption Fallout [560K PDF]

Teachers:

A Backwater Curve for the Windsor Locks Canal [1.73MB PDF]

Budgeting Time and Money [1.8MB PDF]

Pricing Auto Insurance [1.7MB PDF]

Volcanic Eruption Fallout [1.5MB PDF]

These booklets detail modeling problems that remain relevant today despite being somewhat dated in appearance. These examples have considerable background data, which gives insight into the types of details that need to be considered when solving the Challenge problem. Remember that creativity and originality are highly valued characteristics of a winning solution—along with good quantitative and qualitative analysis.

Used with the permission of the Mathematical Association of America.

Have your own idea for a problem? Suggest it!

 

Level 3: M3 Challenge Archives: Past Problems and Outstanding Solution Papers

M3 Challenge 2017 Problem

Please note that the papers posted here are the solutions of the top six teams in the 2017 M3 Challenge. The students completed these papers within the 14-hour time period allowed for the contest and were selected by the judges to receive an award.

 

M3 Challenge Champions - Adlai E. Stevenson High School

M3 Challenge First Runner Up, $15,000 Team Prize - Westford Academy 

M3 Challenge Third Place - Johns Creek High School 

M3 Challenge Finalist - High Technology High School 

M3 Challenge Finalist - Montgomery Blair High School 

M3 Challenge Finalist - NC School of Science and Mathematics 

Past Problems

2016 Problem

2015 Problem 

2014 Problem 

2013 Problem 

2012 Problem 

2011 Problem

2010 Problem 

2009 Problem 

2008 Problem 

2007 Problem

2006 Problem 

Go to the M3 Challenge archive to see these problems and their solutions.