Roots of unity — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses roots of unity — a algebra 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
AMC 12
2002 AMC 12A Problem 24 · 2005 AMC 12B Problem 22 · 2008 AMC 12A Problem 23 · 2009 AMC 12A Problem 21 · 2011 AMC 12A Problem 23 · 2011 AMC 12B Problem 24 · 2012 AMC 12B Problem 23 · 2015 AMC 12B Problem 25 · 2017 AMC 12A Problem 17 · 2017 AMC 12B Problem 12 · 2018 AMC 12B Problem 16 · 2019 AMC 12A Problem 21 · 2020 AMC 12B Problem 17 · 2020 AMC 12B Problem 23 · 2021 AMC 12A Spring Problem 15 · 2021 AMC 12A Spring Problem 22 · 2021 AMC 12B Spring Problem 20 · 2021 AMC 12A Fall Problem 25 · 2022 AMC 12A Problem 21 · 2022 AMC 12B Problem 11 · 2022 AMC 12B Problem 24 · 2023 AMC 12A Problem 14 · 2023 AMC 12B Problem 19