Graph theory — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses graph theory — a combinatorics concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All of these problems are used with official legal permission of the Mathematical Association of America (MAA).
AMC 10
2006 AMC 10A Problem 25 · 2010 AMC 10A Problem 20 · 2011 AMC 10A Problem 22 · 2012 AMC 10A Problem 23 · 2012 AMC 10B Problem 15 · 2015 AMC 10B Problem 20 · 2016 AMC 10B Problem 22 · 2020 AMC 10A Problem 19 · 2020 AMC 10B Problem 17 · 2021 AMC 10B Fall Problem 23 · 2023 AMC 10A Problem 18 · 2023 AMC 10A Problem 25 · 2025 AMC 10B Problem 16
AMC 12
2006 AMC 12A Problem 20 · 2011 AMC 12A Problem 16 · 2012 AMC 12A Problem 19 · 2013 AMC 12B Problem 12 · 2016 AMC 12B Problem 20 · 2017 AMC 12A Problem 5 · 2019 AMC 12A Problem 13 · 2019 AMC 12B Problem 10 · 2020 AMC 12B Problem 15 · 2021 AMC 12A Fall Problem 16 · 2022 AMC 12A Problem 7 · 2023 AMC 12A Problem 21 · 2024 AMC 12A Problem 22 · 2025 AMC 12B Problem 13