Complex number — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Complex number — 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 problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 12
1950 AMC 12 Problem 15 • 1950 AMC 12 Problem 37 • 1957 AMC 12 Problem 42 • 1959 AMC 12 Problem 27 • 1960 AMC 12 Problem 39 • 1962 AMC 12 Problem 21 • 1964 AMC 12 Problem 34 • 1965 AMC 12 Problem 11 • 1966 AMC 12 Problem 10 • 1966 AMC 12 Problem 22 • 1970 AMC 12 Problem 5 • 1971 AMC 12 Problem 22 • 1972 AMC 12 Problem 3 • 1972 AMC 12 Problem 22 • 1974 AMC 12 Problem 17 • 1977 AMC 12 Problem 16 • 1980 AMC 12 Problem 13 • 1980 AMC 12 Problem 17 • 1981 AMC 12 Problem 24 • 1982 AMC 12 Problem 27 • 1983 AMC 12 Problem 17 • 1984 AMC 12 Problem 10 • 1984 AMC 12 Problem 30 • 1985 AMC 12 Problem 23 • 1989 AMC 12 Problem 29 • 1992 AMC 12 Problem 15 • 2000 AMC 12 Problem 22 • 2001 AMC 12 Problem 23 • 2002 AMC 12A Problem 24 • 2004 AMC 12A Problem 23 • 2004 AMC 12B Problem 16 • 2005 AMC 12B Problem 22 • 2007 AMC 12A Problem 18 • 2008 AMC 12A Problem 23 • 2008 AMC 12A Problem 25 • 2008 AMC 12B Problem 19 • 2009 AMC 12A Problem 15 • 2009 AMC 12A Problem 21 • 2009 AMC 12B Problem 23 • 2010 AMC 12B Problem 15 • 2011 AMC 12A Problem 23 • 2011 AMC 12B Problem 24 • 2012 AMC 12B Problem 23 • 2013 AMC 12A Problem 25 • 2013 AMC 12B Problem 25 • 2015 AMC 12A Problem 24 • 2015 AMC 12B Problem 25 • 2017 AMC 12A Problem 17 • 2017 AMC 12A Problem 25 • 2017 AMC 12B Problem 12 • 2018 AMC 12A Problem 22 • 2019 AMC 12A Problem 14 • 2019 AMC 12A Problem 21 • 2019 AMC 12B Problem 17 • 2019 AMC 12B Problem 24 • 2020 AMC 12A Problem 15 • 2020 AMC 12A Problem 22 • 2020 AMC 12B Problem 17 • 2020 AMC 12B Problem 23 • 2021 AMC 12A Spring Problem 13 • 2021 AMC 12A Spring Problem 21 • 2021 AMC 12B Spring Problem 18 • 2021 AMC 12A Fall Problem 15 • 2021 AMC 12B Fall Problem 21 • 2022 AMC 12A Problem 22 • 2022 AMC 12B Problem 11 • 2023 AMC 12A Problem 14 • 2023 AMC 12A Problem 16 • 2023 AMC 12B Problem 12 • 2024 AMC 12A Problem 15 • 2024 AMC 12B Problem 12 • 2025 AMC 12A Problem 9 • 2025 AMC 12A Problem 17 • 2025 AMC 12B Problem 3 • 2025 AMC 12B Problem 22
AIME
1983 AIME Problem 5 • 1984 AIME Problem 8 • 1985 AIME Problem 3 • 1988 AIME Problem 11 • 1989 AIME Problem 14 • 1990 AIME Problem 10 • 1992 AIME Problem 10 • 1994 AIME Problem 13 • 1995 AIME Problem 5 • 1996 AIME Problem 11 • 1998 AIME Problem 13 • 1999 AIME Problem 9 • 2000 AIME II Problem 9 • 2001 AIME II Problem 14 • 2002 AIME I Problem 12 • 2005 AIME I Problem 6 • 2005 AIME II Problem 9 • 2007 AIME I Problem 3 • 2007 AIME II Problem 14 • 2008 AIME II Problem 9 • 2008 AIME II Problem 13 • 2009 AIME I Problem 2 • 2009 AIME II Problem 13 • 2010 AIME II Problem 7 • 2011 AIME II Problem 8 • 2012 AIME I Problem 6 • 2012 AIME I Problem 14 • 2012 AIME II Problem 6 • 2012 AIME II Problem 8 • 2013 AIME I Problem 10 • 2013 AIME I Problem 14 • 2013 AIME II Problem 12 • 2014 AIME I Problem 7 • 2014 AIME II Problem 10 • 2016 AIME I Problem 7 • 2017 AIME I Problem 10 • 2017 AIME II Problem 12 • 2018 AIME I Problem 6 • 2018 AIME II Problem 5 • 2019 AIME I Problem 12 • 2019 AIME II Problem 8 • 2020 AIME I Problem 8 • 2020 AIME I Problem 14 • 2021 AIME II Problem 4 • 2022 AIME I Problem 4 • 2023 AIME I Problem 15 • 2023 AIME II Problem 8 • 2024 AIME I Problem 7 • 2024 AIME II Problem 13 • 2025 AIME I Problem 8 • 2026 AIME I Problem 5