Symmetry — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Symmetry — a problem-solving techniques 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 8
1986 AMC 8 Problem 10 • 1989 AMC 8 Problem 11 • 1990 AMC 8 Problem 3 • 1990 AMC 8 Problem 25 • 1995 AMC 8 Problem 20 • 2001 AMC 8 Problem 23 • 2005 AMC 8 Problem 3 • 2005 AMC 8 Problem 23 • 2009 AMC 8 Problem 20 • 2010 AMC 8 Problem 6 • 2011 AMC 8 Problem 18 • 2016 AMC 8 Problem 21 • 2019 AMC 8 Problem 6 • 2022 AMC 8 Problem 23 • 2022 AMC 8 Problem 25 • 2023 AMC 8 Problem 2 • 2025 AMC 8 Problem 1 • 2025 AMC 8 Problem 25
AMC 10
2001 AMC 10 Problem 5 • 2001 AMC 10 Problem 23 • 2003 AMC 10B Problem 23 • 2004 AMC 10B Problem 25 • 2005 AMC 10B Problem 20 • 2006 AMC 10B Problem 17 • 2007 AMC 10B Problem 13 • 2009 AMC 10A Problem 22 • 2009 AMC 10B Problem 24 • 2009 AMC 10B Problem 25 • 2010 AMC 10A Problem 18 • 2012 AMC 10A Problem 20 • 2012 AMC 10A Problem 25 • 2012 AMC 10B Problem 8 • 2013 AMC 10A Problem 16 • 2014 AMC 10B Problem 25 • 2016 AMC 10A Problem 18 • 2017 AMC 10A Problem 15 • 2017 AMC 10B Problem 18 • 2017 AMC 10B Problem 24 • 2018 AMC 10A Problem 18 • 2018 AMC 10A Problem 20 • 2018 AMC 10B Problem 9 • 2019 AMC 10A Problem 8 • 2019 AMC 10B Problem 17 • 2019 AMC 10B Problem 22 • 2020 AMC 10A Problem 13 • 2020 AMC 10B Problem 16 • 2021 AMC 10B Fall Problem 20 • 2022 AMC 10A Problem 23 • 2022 AMC 10B Problem 19 • 2023 AMC 10A Problem 22 • 2023 AMC 10A Problem 25 • 2023 AMC 10B Problem 13 • 2023 AMC 10B Problem 19
AMC 12
1953 AMC 12 Problem 32 • 1955 AMC 12 Problem 28 • 1958 AMC 12 Problem 48 • 1969 AMC 12 Problem 10 • 1972 AMC 12 Problem 23 • 1972 AMC 12 Problem 26 • 1977 AMC 12 Problem 20 • 1979 AMC 12 Problem 28 • 1981 AMC 12 Problem 18 • 1984 AMC 12 Problem 10 • 1989 AMC 12 Problem 21 • 1994 AMC 12 Problem 17 • 1994 AMC 12 Problem 30 • 1995 AMC 12 Problem 9 • 1996 AMC 12 Problem 22 • 2000 AMC 12 Problem 25 • 2001 AMC 12 Problem 11 • 2003 AMC 12A Problem 9 • 2003 AMC 12A Problem 14 • 2003 AMC 12A Problem 16 • 2003 AMC 12B Problem 10 • 2003 AMC 12B Problem 15 • 2007 AMC 12B Problem 16 • 2008 AMC 12A Problem 21 • 2008 AMC 12B Problem 7 • 2009 AMC 12A Problem 23 • 2010 AMC 12A Problem 16 • 2010 AMC 12A Problem 18 • 2010 AMC 12A Problem 24 • 2011 AMC 12A Problem 12 • 2011 AMC 12B Problem 23 • 2012 AMC 12A Problem 12 • 2012 AMC 12A Problem 15 • 2012 AMC 12B Problem 19 • 2012 AMC 12B Problem 25 • 2014 AMC 12B Problem 22 • 2015 AMC 12A Problem 9 • 2015 AMC 12B Problem 7 • 2016 AMC 12A Problem 8 • 2016 AMC 12A Problem 14 • 2016 AMC 12B Problem 18 • 2017 AMC 12A Problem 10 • 2017 AMC 12A Problem 22 • 2017 AMC 12B Problem 12 • 2017 AMC 12B Problem 13 • 2018 AMC 12A Problem 13 • 2018 AMC 12A Problem 15 • 2019 AMC 12A Problem 4 • 2019 AMC 12A Problem 6 • 2019 AMC 12B Problem 13 • 2019 AMC 12B Problem 19 • 2020 AMC 12A Problem 6 • 2020 AMC 12A Problem 11 • 2020 AMC 12B Problem 14 • 2021 AMC 12B Fall Problem 1 • 2021 AMC 12B Fall Problem 13 • 2021 AMC 12B Fall Problem 15 • 2022 AMC 12A Problem 20 • 2023 AMC 12A Problem 21 • 2023 AMC 12B Problem 9 • 2024 AMC 12A Problem 7 • 2024 AMC 12A Problem 13 • 2024 AMC 12B Problem 11 • 2025 AMC 12A Problem 18 • 2025 AMC 12B Problem 11
AIME
1984 AIME Problem 6 • 1998 AIME Problem 2 • 1998 AIME Problem 12 • 1999 AIME Problem 2 • 1999 AIME Problem 4 • 2000 AIME I Problem 12 • 2001 AIME I Problem 5 • 2001 AIME II Problem 11 • 2003 AIME I Problem 13 • 2003 AIME II Problem 5 • 2003 AIME II Problem 14 • 2006 AIME I Problem 6 • 2006 AIME I Problem 10 • 2006 AIME I Problem 14 • 2006 AIME II Problem 8 • 2006 AIME II Problem 10 • 2007 AIME II Problem 5 • 2008 AIME II Problem 13 • 2009 AIME II Problem 8 • 2010 AIME I Problem 8 • 2010 AIME II Problem 9 • 2011 AIME I Problem 14 • 2011 AIME II Problem 6 • 2012 AIME I Problem 7 • 2013 AIME I Problem 4 • 2015 AIME I Problem 5 • 2016 AIME II Problem 14 • 2017 AIME II Problem 14 • 2017 AIME II Problem 15 • 2018 AIME I Problem 14 • 2018 AIME II Problem 4 • 2021 AIME I Problem 4 • 2025 AIME I Problem 9 • 2026 AIME II Problem 12