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PUMaC Practice Resources

PUMaC Past Papers & Practice Problems

Explore Princeton University Mathematics Competition (PUMaC) past papers and practice problems from past competitions. Work through Algebra, Combinatorics, Geometry, Number Theory, Individual Finals, Team Round, and Power Round problems to strengthen advanced mathematical problem-solving skills.

PUMaC Algebra

PUMaC Algebra Past Problems

Practice PUMaC Algebra problems covering equations, identities, inequalities, algebraic reasoning, and advanced competition problem solving.

PUMaC 2007 — Algebra A Practice 2007 Algebra A
PUMaC 2007 — Algebra B Practice 2007 Algebra B
PUMaC 2008 — Algebra A Practice 2008 Algebra A
PUMaC 2008 — Algebra B Practice 2008 Algebra B
PUMaC 2009 — Algebra A Practice 2009 Algebra A
PUMaC 2009 — Algebra B Practice 2009 Algebra B
PUMaC 2010 — Algebra A Practice 2010 Algebra A
PUMaC 2010 — Algebra B Practice 2010 Algebra B
PUMaC 2011 — Algebra A Practice 2011 Algebra A
PUMaC 2011 — Algebra B Practice 2011 Algebra B
PUMaC 2012 — Algebra A Practice 2012 Algebra A
PUMaC 2012 — Algebra B Practice 2012 Algebra B
PUMaC 2013 — Algebra A Practice 2013 Algebra A
PUMaC 2013 — Algebra B Practice 2013 Algebra B
PUMaC 2014 — Algebra A Practice 2014 Algebra A
PUMaC 2014 — Algebra B Practice 2014 Algebra B
PUMaC 2015 — Algebra A Practice 2015 Algebra A
PUMaC 2015 — Algebra B Practice 2015 Algebra B
PUMaC 2016 — Algebra A Practice 2016 Algebra A
PUMaC 2016 — Algebra B Practice 2016 Algebra B
PUMaC 2017 — Algebra A Practice 2017 Algebra A
PUMaC 2017 — Algebra B Practice 2017 Algebra B
PUMaC 2019 — Algebra A Practice 2019 Algebra A
PUMaC 2019 — Algebra B Practice 2019 Algebra B
PUMaC 2020 — Algebra A Practice 2020 Algebra A
PUMaC 2020 — Algebra B Practice 2020 Algebra B
PUMaC 2021 — Algebra A Practice 2021 Algebra A
PUMaC 2021 — Algebra B Practice 2021 Algebra B
PUMaC 2022 — Algebra A Practice 2022 Algebra A
PUMaC 2022 — Algebra B Practice 2022 Algebra B
PUMaC Algebra A Test Practice Algebra A Test
PUMaC Algebra B Test Practice Algebra B Test
PUMaC 2023 — Algebra A Practice 2023 Algebra A
PUMaC 2023 — Algebra B Practice 2023 Algebra B
PUMaC 2024 — Algebra A Practice 2024 Algebra A
PUMaC 2024 — Algebra B Practice 2024 Algebra B
PUMaC 2025 — Algebra A Practice 2025 Algebra A
PUMaC 2025 — Algebra B Practice 2025 Algebra B
View PUMaC Algebra A Solutions View PUMaC Algebra B Solutions
PUMaC Combinatorics

PUMaC Combinatorics Past Problems

Solve PUMaC Combinatorics problems involving counting, arrangements, discrete reasoning, patterns, and advanced combinatorial techniques.

PUMaC 2007 — Combinatorics A Practice 2007 Combinatorics A
PUMaC 2007 — Combinatorics B Practice 2007 Combinatorics B
PUMaC 2008 — Combinatorics A Practice 2008 Combinatorics A
PUMaC 2008 — Combinatorics B Practice 2008 Combinatorics B
PUMaC 2009 — Combinatorics A Practice 2009 Combinatorics A
PUMaC 2009 — Combinatorics B Practice 2009 Combinatorics B
PUMaC 2010 — Combinatorics A Practice 2010 Combinatorics A
PUMaC 2010 — Combinatorics B Practice 2010 Combinatorics B
PUMaC 2011 — Combinatorics A Practice 2011 Combinatorics A
PUMaC 2011 — Combinatorics B Practice 2011 Combinatorics B
PUMaC 2012 — Combinatorics A Practice 2012 Combinatorics A
PUMaC 2012 — Combinatorics B Practice 2012 Combinatorics B
PUMaC 2013 — Combinatorics A Practice 2013 Combinatorics A
PUMaC 2013 — Combinatorics B Practice 2013 Combinatorics B
PUMaC 2014 — Combinatorics A Practice 2014 Combinatorics A
PUMaC 2014 — Combinatorics B Practice 2014 Combinatorics B
PUMaC 2015 — Combinatorics A Practice 2015 Combinatorics A
PUMaC 2015 — Combinatorics B Practice 2015 Combinatorics B
PUMaC 2016 — Combinatorics A Practice 2016 Combinatorics A
PUMaC 2016 — Combinatorics B Practice 2016 Combinatorics B
PUMaC 2017 — Combinatorics A Practice 2017 Combinatorics A
PUMaC 2017 — Combinatorics B Practice 2017 Combinatorics B
PUMaC 2019 — Combinatorics A Practice 2019 Combinatorics A
PUMaC 2019 — Combinatorics B Practice 2019 Combinatorics B
PUMaC 2020 — Combinatorics A Practice 2020 Combinatorics A
PUMaC 2020 — Combinatorics B Practice 2020 Combinatorics B
PUMaC 2021 — Combinatorics A Practice 2021 Combinatorics A
PUMaC 2021 — Combinatorics B Practice 2021 Combinatorics B
PUMaC 2022 — Combinatorics A Practice 2022 Combinatorics A
PUMaC 2022 — Combinatorics B Practice 2022 Combinatorics B
PUMaC Combinatorics A Test Practice Combinatorics A Test
PUMaC Combinatorics B Test Practice Combinatorics B Test
PUMaC 2023 — Combinatorics A Practice 2023 Combinatorics A
PUMaC 2024 — Combinatorics A Practice 2024 Combinatorics A
PUMaC 2024 — Combinatorics B Practice 2024 Combinatorics B
PUMaC 2025 — Combinatorics A Practice 2025 Combinatorics A
PUMaC 2025 — Combinatorics B Practice 2025 Combinatorics B
View PUMaC Combinatorics A Solutions View PUMaC Combinatorics B Solutions
PUMaC Geometry

PUMaC Geometry Past Problems

Practice advanced PUMaC Geometry problems involving geometric reasoning, configurations, relationships, and creative mathematical problem solving.

PUMaC 2007 — Geometry A Practice 2007 Geometry A
PUMaC 2007 — Geometry B Practice 2007 Geometry B
PUMaC 2008 — Geometry A Practice 2008 Geometry A
PUMaC 2008 — Geometry B Practice 2008 Geometry B
PUMaC 2009 — Geometry A Practice 2009 Geometry A
PUMaC 2009 — Geometry B Practice 2009 Geometry B
PUMaC 2010 — Geometry A Practice 2010 Geometry A
PUMaC 2010 — Geometry B Practice 2010 Geometry B
PUMaC 2011 — Geometry A Practice 2011 Geometry A
PUMaC 2011 — Geometry B Practice 2011 Geometry B
PUMaC 2012 — Geometry A Practice 2012 Geometry A
PUMaC 2012 — Geometry B Practice 2012 Geometry B
PUMaC 2013 — Geometry A Practice 2013 Geometry A
PUMaC 2013 — Geometry B Practice 2013 Geometry B
PUMaC 2014 — Geometry A Practice 2014 Geometry A
PUMaC 2014 — Geometry B Practice 2014 Geometry B
PUMaC 2015 — Geometry A Practice 2015 Geometry A
PUMaC 2015 — Geometry B Practice 2015 Geometry B
PUMaC 2016 — Geometry A Practice 2016 Geometry A
PUMaC 2016 — Geometry B Practice 2016 Geometry B
PUMaC 2017 — Geometry A Practice 2017 Geometry A
PUMaC 2017 — Geometry B Practice 2017 Geometry B
PUMaC 2019 — Geometry A Practice 2019 Geometry A
PUMaC 2019 — Geometry B Practice 2019 Geometry B
PUMaC 2020 — Geometry A Practice 2020 Geometry A
PUMaC 2020 — Geometry B Practice 2020 Geometry B
PUMaC 2021 — Geometry A Practice 2021 Geometry A
PUMaC 2021 — Geometry B Practice 2021 Geometry B
PUMaC Geometry B Test Practice Geometry B Test
PUMaC 2022 — Geometry A Practice 2022 Geometry A
PUMaC 2022 — Geometry B Practice 2022 Geometry B
PUMaC Geometry A Test Practice Geometry A Test
PUMaC 2023 — Geometry A Practice 2023 Geometry A
PUMaC 2024 — Geometry A Practice 2024 Geometry A
PUMaC 2024 — Geometry B Practice 2024 Geometry B
PUMaC 2025 — Geometry A Practice 2025 Geometry A
PUMaC 2025 — Geometry B Practice 2025 Geometry B
View PUMaC Geometry A Solutions View PUMaC Geometry B Solutions
PUMaC Number Theory

PUMaC Number Theory Past Problems

Strengthen number theory skills with PUMaC problems involving divisibility, integers, modular reasoning, and advanced number-theoretic ideas.

PUMaC 2007 — Number Theory A Practice 2007 Number Theory A
PUMaC 2008 — Number Theory A Practice 2008 Number Theory A
PUMaC 2008 — Number Theory B Practice 2008 Number Theory B
PUMaC 2009 — Number Theory A Practice 2009 Number Theory A
PUMaC 2009 — Number Theory B Practice 2009 Number Theory B
PUMaC 2010 — Number Theory A Practice 2010 Number Theory A
PUMaC 2010 — Number Theory B Practice 2010 Number Theory B
PUMaC 2011 — Number Theory A Practice 2011 Number Theory A
PUMaC 2011 — Number Theory B Practice 2011 Number Theory B
PUMaC 2012 — Number Theory A Practice 2012 Number Theory A
PUMaC 2012 — Number Theory B Practice 2012 Number Theory B
PUMaC 2013 — Number Theory A Practice 2013 Number Theory A
PUMaC 2013 — Number Theory B Practice 2013 Number Theory B
PUMaC 2014 — Number Theory A Practice 2014 Number Theory A
PUMaC 2014 — Number Theory B Practice 2014 Number Theory B
PUMaC 2015 — Number Theory A Practice 2015 Number Theory A
PUMaC 2015 — Number Theory B Practice 2015 Number Theory B
PUMaC 2016 — Number Theory A Practice 2016 Number Theory A
PUMaC 2016 — Number Theory B Practice 2016 Number Theory B
PUMaC 2017 — Number Theory A Practice 2017 Number Theory A
PUMaC 2017 — Number Theory B Practice 2017 Number Theory B
PUMaC 2019 — Number Theory A Practice 2019 Number Theory A
PUMaC 2019 — Number Theory B Practice 2019 Number Theory B
PUMaC 2020 — Number Theory A Practice 2020 Number Theory A
PUMaC 2020 — Number Theory B Practice 2020 Number Theory B
PUMaC 2021 — Number Theory A Practice 2021 Number Theory A
PUMaC 2021 — Number Theory B Practice 2021 Number Theory B
PUMaC 2022 — Number Theory A Practice 2022 Number Theory A
PUMaC 2022 — Number Theory B Practice 2022 Number Theory B
PUMaC Number Theory A Test Practice Number Theory A Test
PUMaC Number Theory B Test Practice Number Theory B Test
PUMaC Number Theory B Practice Number Theory B
PUMaC 2023 — Number Theory A Practice 2023 Number Theory A
PUMaC 2024 — Number Theory A Practice 2024 Number Theory A
PUMaC 2024 — Number Theory B Practice 2024 Number Theory B
PUMaC 2025 — Number Theory A Practice 2025 Number Theory A
PUMaC 2025 — Number Theory B Practice 2025 Number Theory B
View PUMaC Number Theory A Solutions View PUMaC Number Theory B Solutions
Individual Finals

PUMaC Individual Finals Past Papers

Challenge yourself with PUMaC Individual Finals problems designed for advanced mathematical reasoning across multiple competition topics.

PUMaC 2007 — Finals A Practice 2007 Finals A
PUMaC 2007 — Finals B Practice 2007 Finals B
PUMaC 2008 — Finals A Practice 2008 Finals A
PUMaC 2008 — Finals B Practice 2008 Finals B
PUMaC 2012 — Finals A Practice 2012 Finals A
PUMaC 2012 — Finals B Practice 2012 Finals B
PUMaC 2013 — Finals A Practice 2013 Finals A
PUMaC 2013 — Finals B Practice 2013 Finals B
PUMaC 2014 — Finals A Practice 2014 Finals A
PUMaC 2014 — Finals B Practice 2014 Finals B
PUMaC 2015 — Finals A Practice 2015 Finals A
PUMaC 2015 — Finals B Practice 2015 Finals B
PUMaC 2016 — Finals A Practice 2016 Finals A
PUMaC 2016 — Finals B Practice 2016 Finals B
PUMaC 2017 — Finals A Practice 2017 Finals A
PUMaC 2017 — Finals B Practice 2017 Finals B
PUMaC 2019 — Individual Finals A Practice 2019 Finals A
PUMaC 2019 — Individual Finals B Practice 2019 Finals B
PUMaC 2020 — Individual Finals A Practice 2020 Finals A
PUMaC 2020 — Individual Finals B Practice 2020 Finals B
PUMaC 2021 — Finals A Practice 2021 Finals A
PUMaC 2021 — Finals B Practice 2021 Finals B
PUMaC 2022 — Individual Finals A Practice 2022 Finals A
PUMaC 2022 — Individual Finals B Practice 2022 Finals B
PUMaC Individual Finals A Test Practice Finals A Test
PUMaC Individual Finals B Test Practice Finals B Test
PUMaC 2023 — Individual Finals A Practice 2023 Finals A
PUMaC 2024 — Individual Finals A Practice 2024 Finals A
PUMaC 2024 — Individual Finals B Practice 2024 Finals B
PUMaC 2025 — Individual Finals A Practice 2025 Finals A
PUMaC 2025 — Individual Finals B Practice 2025 Finals B
View PUMaC Individual Finals A Solutions View PUMaC Individual Finals B Solutions
Team Round

PUMaC Team Round Past Problems

Practice PUMaC Team Round problems and develop collaborative problem-solving strategies for challenging team-based mathematics competition questions.

PUMaC 2024 — Team Round Practice 2024 Team Round
PUMaC 2025 — Team Round Practice 2025 Team Round
View PUMaC Team Round Solutions
PUMaC Power Round

PUMaC Power Round Practice Problems

Explore PUMaC Power Round problems and practice advanced mathematical reasoning, structured solutions, and multi-step problem solving.

PUMaC 2024 — Power Round Practice 2024 Power Round
PUMaC 2025 — Power Round Practice 2025 Power Round
Use these PUMaC past papers to become familiar with advanced competition mathematics, identify challenging topics, practice different problem-solving strategies, and prepare for future mathematics competitions such as AMC, AIME, HMMT, ARML, and other high-level contests.
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Prof Ved Transforming children into math geniuses — trusted by 25,000+ families in the US & Canada