Mathmodels.org Membership
Welcome to the new home of Mathmodels.org.
Powered by COMAP content, Mathmodels.org goes beyond our contests to make applied mathematics and modeling a year-round activity with problems, student solutions and commentaries. Teachers and students use the materials found on this site to enrich their classes and prepare for mathematical modeling competitions.
As a Mathmodels.org member, you will receive an electronic subscription to all the Mathmodels problems, student papers and commentaries found below for only $35.00 per year!
| Year | Problem Title | Student Level | Source | Commentary | Student Papers |
| 2025 | Global Sports League | High School | IM2C | No | Yes (2) |
| 2025 | Cyber Strong? | Undergraduate | ICM | No | Yes (5) |
| 2025 | Making Room for Agriculture | Undergraduate | ICM | No | Yes (4) |
| 2025 | A Roadmap to a Better City | Undergraduate | ICM | No | Yes (4) |
| 2025 | Models for Olympic Medal Tables | Undergraduate | MCM | No | Yes (18) |
| 2025 | Managing Sustainable Tourism | Undergraduate | MCM | No | Yes (7) |
| 2025 | Testing Time: The Constant Wear On Stairs | Undergraduate | MCM | No | Yes (5) |
| 2024 | To Play or not to Play: Modeling Future Olympic Games | High School | HiMCM | Yes (1) | Yes (5) |
| 2024 | Examining the Environmental Impact of High-Powered Computing | High School | HiMCM | Yes (1) | Yes (3) |
| 2024 | The Modeling Musical Tour | Middle School | MidMCM | No | Yes (2) |
| 2024 | Picking the Perfect Pet | High School | IM2C | Yes (1) | Yes (2) |
| 2024 | Reducing Illegal Wildlife Trade | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2024 | Sustainability of Property Insurance | Undergraduate | ICM | Yes (2) | Yes (6) |
| 2024 | Great Lakes Water Problem | Undergraduate | ICM | Yes (3) | Yes (4) |
| 2024 | Momentum in Tennis | Undergraduate | MCM | Yes (1) | Yes (11) |
| 2024 | Searching for Submersibles | Undergraduate | MCM | Yes (2) | Yes (4) |
| 2024 | Resource Availability and Sex Ratios | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2023 | Charging Ahead with E-buses | High School | HiMCM | Yes (1) | Yes (4) |
| 2023 | Dandelions: Friend? Foe? Both? Neither? | High School | HiMCM | Yes (1) | Yes (5) |
| 2023 | Preparing for Olympic Medal Ceremonies | Middle School | MidMCM | No | Yes (2) |
| 2023 | Using Land: A Valuable Resource | High School | IM2C | Yes (1) | Yes (2) |
| 2023 | The Future of the Olympics | Undergraduate | ICM | No | Yes (2) |
| 2023 | Understanding Used Sailboat Prices | Undergraduate | MCM | Yes (1) | Yes (3) |
| 2023 | Green GDP | Undergraduate | ICM | Yes (1) | Yes (4) |
| 2023 | Light Pollution | Undergraduate | ICM | Yes (2) | Yes (8) |
| 2023 | Prioritizing the UN Sustainability Goals | Undergraduate | ICM | Yes (1) | Yes (3) |
| 2023 | Predicting Wordle Results | Undergraduate | MCM | Yes (1) | Yes (12) |
| 2023 | Reimagining Maasai Mara | Undergraduate | MCM | Yes (1) | Yes (3) |
| 2023 | Drought-Stricken Plant Communities | Undergraduate | MCM | Yes (1) | Yes (7) |
| 2022 | CO2 and Global Warming | High School | HiMCM | Yes (1) | Yes (5) |
| 2022 | The Need for Bees (and not just for honey) | High School | HiMCM | Yes (1) | Yes (4) |
| 2022 | Polygon Paradise Park | Middle School | MidMCM | Yes (1) | Yes (3) |
| 2022 | Aboard! Boarding and Disembarking a Plane | High School | IM2C | Yes (1) | Yes (3) |
| 2022 | Data Paralysis? Use Our Analysis! | Undergraduate | ICM | Yes (1) | Yes (7) |
| 2022 | Forestry for Carbon Sequestration | Undergraduate | ICM | Yes (1) | Yes (10) |
| 2022 | All for One and One (Space) for All! | Undergraduate | ICM | Yes (1) | Yes (4) |
| 2022 | Trading Strategies | Undergraduate | MCM | Yes (1) | Yes (10) |
| 2022 | Water and Hydroelectric Power Sharing | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2022 | Power Profile of a Cyclist | Undergraduate | MCM | Yes (1) | Yes (7) |
| 2021 | Tackling the Drought | High School | HiMCM | Yes (1) | Yes (5) |
| 2021 | Storing the Sun | High School | HiMCM | Yes (1) | Yes (3) |
| 2021 | Dog Park | Middle School | MidMCM | Yes (1) | Yes (2) |
| 2021 | Hot Dog Concession Stand (MidMCM Sample) | Middle School | MidMCM | Yes (1) | No |
| 2021 | Who is the Greatest? Maradona or Pelé? Biles or Khorkina? | High School | IM2C | Yes (1) | Yes (2) |
| 2021 | The Influence of Music | Undergraduate | ICM | Yes (2) | Yes (8) |
| 2021 | Re-Optimizing Food Systems | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2021 | Checking the Pulse and Temperature of Higher Education | Undergraduate | ICM | Yes (2) | Yes (6) |
| 2021 | Confirming the Buzz about Hornets | Undergraduate | MCM | No | Yes (6) |
| 2021 | Fighting Wildfires | Undergraduate | MCM | No | Yes (5) |
| 2021 | Fungi | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2020 | The Best Summer Job | High School | HiMCM | Yes (1) | Yes (5) |
| 2020 | Funding Biodiversity Conservation | High School | HiMCM | Yes (1) | Yes (3) |
| 2020 | Flash Sale | Undergraduate | IM2C | Yes (1) | Yes (2) |
| 2020 | Teaming Strategies | Undergraduate | ICM | Yes (2) | Yes (7) |
| 2020 | Drowning in Plastic | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2020 | The Place I Called Home | Undergraduate | ICM | Yes (1) | Yes (6) |
| 2020 | A Wealth of Data | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2020 | The Longest Lasting Sandcastle(s) | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2020 | Moving North | Undergraduate | MCM | Yes (1) | Yes (8) |
| 2019 | Charge! | High School | HiMCM | Yes (1) | Yes (5) |
| 2019 | Bottle Battles | High School | HiMCM | Yes (1) | Yes (4) |
| 2019 | What is the Earth's carrying capacity for human life? | High School | IM2C | Yes (1) | Yes (5) |
| 2019 | Time to leave the Louvre | Undergraduate | ICM | Yes (2) | Yes (7) |
| 2019 | What is the Cost of Environmental Degradation? | Undergraduate | ICM | Yes (1) | Yes (8) |
| 2019 | Universal, Decentralized, Digital Currency: Is it possible? | Undergraduate | ICM | Yes (2) | Yes (4) |
| 2019 | The Opioid Crisis | Undergraduate | MCM | No | Yes (6) |
| 2019 | Send in the Drones: Developing an Aerial Disaster Relief Response System | Undergraduate | MCM | No | Yes (5) |
| 2019 | Game of Ecology | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2018 | Roller Coaster | High School | HiMCM | Yes (1) | Yes (5) |
| 2018 | Cozy Smart House | High School | HiMCM | Yes (1) | Yes (2) |
| 2018 | The Best Hospital | High School | IM2C | Yes (1) | Yes (1) |
| 2018 | Cost of Privacy | Undergraduate | ICM | Yes (1) | Yes (4) |
| 2018 | How does climate change influence regional instability? | Undergraduate | ICM | Yes (1) | Yes (7) |
| 2018 | Out of Gas and Driving on E (for electric, not empty) | Undergraduate | ICM | Yes (1) | Yes (6) |
| 2018 | Energy Production | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2018 | How Many Languages? | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2018 | Multi-hop HF Radio Propagation | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2017 | Ski Slope | High School | HiMCM | Yes (1) | Yes (3) |
| 2017 | Drone Clusters as Sky Light Displays | High School | HiMCM | Yes (1) | Yes (6) |
| 2017 | Jet Lag | High School | IM2C | Yes (1) | Yes (1) |
| 2017 | Optimizing the Passenger Throughput at an Airport Security Checkpoint | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2017 | Sustainable Cities Needed! | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2017 | Migration to Mars: Utopian Workforce of the 2100 Urban Society | Undergraduate | ICM | Yes (1) | Yes (4) |
| 2017 | Cooperate and navigate | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2017 | Merge After Toll | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2017 | Managing The Zambezi River | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2016 | Swim, Bike, and Run | High School | HiMCM | Yes (1) | Yes (4) |
| 2016 | Shop and Ship | High School | HiMCM | Yes (1) | Yes (5) |
| 2016 | Record Insurance | High School | IM2C | Yes (1) | Yes (3) |
| 2016 | A Hot Bath | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2016 | Space Junk | Undergraduate | MCM | Yes (1) | Yes (3) |
| 2016 | The Goodgrant Challenge | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2016 | Measuring the Evolution and Influence in Society's Information Networks | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2016 | Are we heading towards a thirsty planet? | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2016 | Modeling Refugee Immigration Policies | Undergraduate | ICM | Yes (1) | Yes (4) |
| 2015 | Preventing Road Rage | High School | HiMCM | Yes (1) | Yes (4) |
| 2015 | City Crime and Safety | High School | HiMCM | Yes (1) | Yes (4) |
| 2015 | Eradicating Ebola | Undergraduate | MCM | Yes (2) | Yes (5) |
| 2015 | Searching for a lost plane | Undergraduate | MCM | Yes (2) | Yes (5) |
| 2015 | Managing Human Capital in Organizations | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2015 | Is it sustainable? | Undergraduate | ICM | Yes (1) | Yes (4) |
| 2015 | Movie Scheduling | High School | IM2C | Yes (1) | Yes (4) |
| 2014 | Unloading Commuter Trains | High School | HiMCM | Yes (1) | Yes (5) |
| 2014 | The Next Plague? | High School | HiMCM | Yes (1) | Yes (4) |
| 2014 | The Keep-Right-Except-To-Pass Rule | Undergraduate | MCM | Yes (3) | Yes (6) |
| 2014 | College Coaching Legends | Undergraduate | MCM | Yes (3) | Yes (7) |
| 2014 | Using Networks to Measure Influence and Impact | Undergraduate | ICM | Yes (1) | Yes (6) |
| 2013 | Emergency Medical Response | High School | HiMCM | Yes (1) | Yes (5) |
| 2013 | Bank Service Problem | High School | HiMCM | Yes (1) | Yes (5) |
| 2013 | The Ultimate Brownie Pan | Undergraduate | MCM | Yes (1) | Yes (7) |
| 2013 | Water, Water, Everywhere | Undergraduate | MCM | Yes (2) | Yes (5) |
| 2013 | Network Modeling of Earth's Health | Undergraduate | ICM | Yes (1) | Yes (5) |
| 2012 | American Elk | High School | HiMCM | Yes (1) | Yes (3) |
| 2012 | How Much Gas Should I Buy This Week? | High School | HiMCM | Yes (1) | Yes (5) |
| 2012 | The Leaves of a Tree | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2012 | Camping along the Big Long River | Undergraduate | MCM | Yes (3) | Yes (6) |
| 2012 | Modeling for Crime Busting | Undergraduate | ICM | Yes (1) | Yes (7) |
| 2011 | Space Shuttle Problem: No More Space Shuttles | High School | HiMCM | Yes (1) | Yes (4) |
| 2011 | Search and Find | High School | HiMCM | Yes (1) | Yes (4) |
| 2011 | Snowboard Course | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2011 | Repeater Coordination | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2011 | How environmentally and economically sound are electric vehicles? Is their widespread use feasible and practical? | Undergraduate | ICM | Yes (1) | Yes (6) |
| 2010 | Bicycle Club | High School | HiMCM | Yes (1) | Yes (3) |
| 2010 | Curbing City Violence | High School | HiMCM | Yes (1) | Yes (6) |
| 2010 | The Sweet Spot | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2010 | Criminology | Undergraduate | MCM | Yes (2) | Yes (6) |
| 2010 | The Great Pacific Ocean Garbage Patch | Undergraduate | ICM | Yes (2) | Yes (4) |
| 2009 | Water, Water Everywhere | High School | HiMCM | Yes (1) | Yes (4) |
| 2009 | Tsunami ("Wipe Out!") | High School | HiMCM | Yes (1) | Yes (4) |
| 2009 | Designing a Traffic Circle | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2009 | Energy and the Cell Phone | Undergraduate | MCM | Yes (2) | Yes (5) |
| 2009 | Creating Food Systems: Re-Balancing Human-Influenced Ecosystems | Undergraduate | ICM | Yes (2) | Yes (2) |
| 2008 | National Debt and National Crisis | High School | HiMCM | Yes (1) | Yes (3) |
| 2008 | Going Green | High School | HiMCM | Yes (1) | Yes (4) |
| 2008 | Take a Bath | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2008 | Creating Sudoku Puzzles | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2008 | Finding the Good in Health Care Systems | Undergraduate | ICM | Yes (1) | Yes (3) |
| 2007 | Smoke Alarms | High School | HiMCM | Yes (1) | Yes (1) |
| 2007 | Car Rentals | High School | HiMCM | Yes (1) | Yes (1) |
| 2007 | Gerrymandering | Undergraduate | MCM | No | Yes (5) |
| 2007 | The Airplane Seating Problem | Undergraduate | MCM | Yes (1) | Yes (8) |
| 2007 | Organ Transplant: The Kidney Exchange Problem | Undergraduate | ICM | Yes (3) | Yes (2) |
| 2006 | Inflation of the Parachute | High School | HiMCM | Yes (1) | Yes (1) |
| 2006 | A South Sea Island Resort | High School | HiMCM | Yes (1) | Yes (1) |
| 2006 | Positioning and Moving Sprinkler Systems for Irrigation | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2006 | Wheel Chair Access at Airports | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2006 | Trade-offs in the fight against HIV/AIDS | Undergraduate | ICM | Yes (2) | Yes (4) |
| 2005 | Modeling Ocean Bottom Topography | High School | HiMCM | Yes (1) | Yes (1) |
| 2005 | Gas Prices, Inventory, National Disasters, and the Mighty Dollar | High School | HiMCM | Yes (1) | Yes (1) |
| 2005 | Flood Planning | Undergraduate | MCM | Yes (1) | Yes (3) |
| 2005 | Tollbooths | Undergraduate | MCM | Yes (1) | Yes (7) |
| 2005 | Nonrenewable Resources | Undergraduate | ICM | Yes (2) | Yes (3) |
| 2004 | Motel Cleaning Problem | High School | HiMCM | Yes (1) | Yes (1) |
| 2004 | The Art Gallery Security System | High School | HiMCM | Yes (1) | Yes (1) |
| 2004 | Are Fingerprints Unique? | Undergraduate | MCM | Yes (3) | Yes (3) |
| 2004 | A Faster QuickPass System | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2004 | To Be Secure or Not to Be? | Undergraduate | ICM | Yes (2) | Yes (4) |
| 2003 | What is it worth? | High School | HiMCM | Yes (1) | Yes (1) |
| 2003 | How fair are major league baseball parks to the players? | High School | HiMCM | Yes (1) | Yes (1) |
| 2003 | The Stunt Person | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2003 | Gamma Knife Treatment Planning | Undergraduate | MCM | No | Yes (5) |
| 2003 | Aviation Baggage Screening Strategies: To Screen or Not to Screen, that is the Question | Undergraduate | ICM | Yes (2) | Yes (5) |
| 2002 | School Busing | High School | HiMCM | Yes (1) | Yes (1) |
| 2002 | The Falling Ladder | High School | HiMCM | Yes (1) | Yes (1) |
| 2002 | Wind and Waterspray | Undergraduate | MCM | Yes (1) | Yes (4) |
| 2002 | Airline Overbooking | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2002 | If we SCRUB our land too much, we may lose the LIZARDs | Undergraduate | ICM | Yes (2) | Yes (2) |
| 2001 | Design of an Airline Terminal | High School | HiMCM | Yes (1) | Yes (1) |
| 2001 | Forest Service | High School | HiMCM | Yes (1) | Yes (1) |
| 2001 | Adolescent Pregnancy | High School | HiMCM | Yes (1) | Yes (1) |
| 2001 | Skyscrapers | High School | HiMCM | Yes (1) | Yes (1) |
| 2001 | The Bicycle Wheel Problem | Undergraduate | MCM | Yes (1) | Yes (3) |
| 2001 | The Hurricane Evacuation Problem | Undergraduate | MCM | Yes (1) | Yes (6) |
| 2001 | The Zebra Mussel Problem | Undergraduate | ICM | Yes (2) | Yes (3) |
| 2000 | Bank Robbers | High School | HiMCM | Yes (1) | Yes (1) |
| 2000 | Elections | High School | HiMCM | Yes (1) | Yes (1) |
| 2000 | Air Traffic Control | Undergraduate | MCM | Yes (2) | Yes (4) |
| 2000 | Radio Channel Assignments | Undergraduate | MCM | Yes (1) | Yes (5) |
| 2000 | Elephants: When is Enough, Enough? | Undergraduate | ICM | Yes (1) | Yes (3) |
| 1999 | Traffic Lights | High School | HiMCM | Yes (1) | Yes (1) |
| 1999 | Deep Impact | Undergraduate | MCM | Yes (1) | Yes (5) |
| 1999 | Unlawful Assembly | Undergraduate | MCM | Yes (2) | Yes (5) |
| 1999 | Ground Pollution | Undergraduate | ICM | Yes (2) | Yes (2) |
| 1998 | The Scanner Problem | Undergraduate | MCM | Yes (2) | Yes (4) |
| 1998 | The Grade Inflation Problem | Undergraduate | MCM | Yes (2) | Yes (3) |
| 1997 | The Velociraptor Problem | Undergraduate | MCM | Yes (1) | Yes (5) |
| 1997 | Mix Well For Fruitful Discussions | Undergraduate | MCM | Yes (2) | Yes (4) |
| 1996 | The Submarine Detection Problem | Undergraduate | MCM | Yes (2) | Yes (4) |
| 1996 | The Contest Judging Problem | Undergraduate | MCM | Yes (2) | Yes (4) |
| 1995 | The Single Helix | Undergraduate | MCM | Yes (3) | Yes (3) |
| 1995 | Aluacha Balaclava College | Undergraduate | MCM | Yes (1) | Yes (4) |
| 1994 | The Communications Network Problem | Undergraduate | MCM | Yes (2) | Yes (1) |
| 1994 | The Concrete Slab Problem | Undergraduate | MCM | Yes (1) | Yes (1) |
| 1993 | The Coal-Tipple Operations Problem | Undergraduate | MCM | Yes (2) | Yes (1) |
| 1993 | The Optimal Composting Problem | Undergraduate | MCM | Yes (2) | Yes (2) |
| 1992 | The Emergency Power-Restoration Problem | Undergraduate | MCM | Yes (2) | Yes (1) |
| 1992 | The Air-Traffic-Control Radar Problem | Undergraduate | MCM | Yes (2) | Yes (2) |
| 1991 | The Steiner Tree Problem | Undergraduate | MCM | Yes (2) | Yes (1) |
| 1991 | The Water Tank Problem | Undergraduate | MCM | Yes (2) | Yes (3) |
| 1990 | The Brain-Drug Problem | Undergraduate | MCM | Yes (2) | Yes (1) |
| 1990 | The Snowplow Problem | Undergraduate | MCM | Yes (1) | Yes (4) |
| 1989 | The Midge Classification Problem | Undergraduate | MCM | Yes (1) | Yes (1) |
| 1989 | The Aircraft Queueing Problem | Undergraduate | MCM | Yes (2) | Yes (5) |
| 1988 | The Drug Runner Problem | Undergraduate | MCM | Yes (1) | Yes (1) |
| 1988 | The Railroad Flatcar Problem | Undergraduate | MCM | Yes (1) | Yes (4) |
| 1987 | The Salt Storage Problem | Undergraduate | MCM | Yes (1) | Yes (1) |
| 1987 | The Parking Lot Problem | Undergraduate | MCM | Yes (2) | Yes (1) |
| 1986 | The Hydrographic Data Problem | Undergraduate | MCM | Yes (1) | Yes (1) |
| 1986 | The Emergency-Facilities Location Problem | Undergraduate | MCM | Yes (1) | Yes (1) |
| 1985 | The Strategic Reserve Problem | Undergraduate | MCM | No | Yes (1) |
| 1985 | The Animal Population Problem | Undergraduate | MCM | No | Yes (1) |
| Year | Problem Title | Student Level | Source | Commentary | Student Papers |
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Typically, new problems are added after the current contest is over.
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Typically, commentaries are available 2-3 months after the contest results are announced.
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