Parity — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Parity — a number theory 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 17 • 1987 AMC 8 Problem 24 • 1987 AMC 8 Problem 25 • 1989 AMC 8 Problem 16 • 1989 AMC 8 Problem 25 • 1991 AMC 8 Problem 5 • 1991 AMC 8 Problem 22 • 1992 AMC 8 Problem 7 • 1994 AMC 8 Problem 22 • 1996 AMC 8 Problem 21 • 2002 AMC 8 Problem 2 • 2003 AMC 8 Problem 2 • 2004 AMC 8 Problem 21 • 2005 AMC 8 Problem 8 • 2005 AMC 8 Problem 15 • 2006 AMC 8 Problem 17 • 2006 AMC 8 Problem 25 • 2007 AMC 8 Problem 19 • 2007 AMC 8 Problem 25 • 2011 AMC 8 Problem 24 • 2014 AMC 8 Problem 4 • 2014 AMC 8 Problem 13 • 2015 AMC 8 Problem 7 • 2018 AMC 8 Problem 19 • 2019 AMC 8 Problem 18 • 2023 AMC 8 Problem 8 • 2024 AMC 8 Problem 7
AMC 10
2000 AMC 10 Problem 11 • 2002 AMC 10A Problem 14 • 2002 AMC 10B Problem 15 • 2005 AMC 10A Problem 14 • 2005 AMC 10B Problem 9 • 2007 AMC 10A Problem 16 • 2007 AMC 10A Problem 23 • 2007 AMC 10B Problem 8 • 2007 AMC 10B Problem 19 • 2008 AMC 10A Problem 9 • 2008 AMC 10A Problem 22 • 2008 AMC 10B Problem 8 • 2008 AMC 10B Problem 16 • 2009 AMC 10B Problem 11 • 2011 AMC 10B Problem 24 • 2012 AMC 10A Problem 14 • 2012 AMC 10B Problem 9 • 2013 AMC 10A Problem 4 • 2015 AMC 10B Problem 10 • 2016 AMC 10A Problem 12 • 2016 AMC 10A Problem 14 • 2016 AMC 10B Problem 12 • 2016 AMC 10B Problem 15 • 2019 AMC 10A Problem 20 • 2020 AMC 10A Problem 18 • 2020 AMC 10B Problem 23 • 2021 AMC 10B Spring Problem 12 • 2021 AMC 10A Fall Problem 9 • 2022 AMC 10B Problem 3 • 2023 AMC 10A Problem 9 • 2023 AMC 10B Problem 6 • 2023 AMC 10B Problem 11 • 2023 AMC 10B Problem 12 • 2023 AMC 10B Problem 21 • 2024 AMC 10A Problem 3 • 2024 AMC 10A Problem 15 • 2024 AMC 10B Problem 16 • 2024 AMC 10B Problem 24 • 2025 AMC 10B Problem 9 • 2025 AMC 10B Problem 25
AMC 12
1951 AMC 12 Problem 18 • 1954 AMC 12 Problem 49 • 1956 AMC 12 Problem 34 • 1959 AMC 12 Problem 14 • 1960 AMC 12 Problem 25 • 1963 AMC 12 Problem 13 • 1963 AMC 12 Problem 31 • 1966 AMC 12 Problem 36 • 1967 AMC 12 Problem 31 • 1968 AMC 12 Problem 17 • 1968 AMC 12 Problem 27 • 1973 AMC 12 Problem 21 • 1974 AMC 12 Problem 8 • 1979 AMC 12 Problem 5 • 1983 AMC 12 Problem 3 • 1984 AMC 12 Problem 19 • 1986 AMC 12 Problem 17 • 1991 AMC 12 Problem 28 • 1992 AMC 12 Problem 4 • 1995 AMC 12 Problem 20 • 1996 AMC 12 Problem 12 • 1997 AMC 12 Problem 10 • 2000 AMC 12 Problem 6 • 2002 AMC 12A Problem 12 • 2002 AMC 12B Problem 11 • 2005 AMC 12A Problem 11 • 2005 AMC 12A Problem 14 • 2006 AMC 12A Problem 24 • 2006 AMC 12B Problem 18 • 2006 AMC 12B Problem 25 • 2007 AMC 12A Problem 12 • 2008 AMC 12A Problem 5 • 2008 AMC 12B Problem 5 • 2009 AMC 12B Problem 1 • 2010 AMC 12B Problem 8 • 2012 AMC 12B Problem 5 • 2013 AMC 12A Problem 2 • 2015 AMC 12A Problem 13 • 2015 AMC 12B Problem 6 • 2016 AMC 12B Problem 12 • 2019 AMC 12A Problem 16 • 2019 AMC 12B Problem 10 • 2021 AMC 12A Spring Problem 8 • 2021 AMC 12B Spring Problem 2 • 2021 AMC 12B Fall Problem 16 • 2023 AMC 12A Problem 7 • 2023 AMC 12B Problem 6 • 2023 AMC 12B Problem 19
AIME
1984 AIME Problem 7 • 1994 AIME Problem 11 • 1997 AIME Problem 1 • 1998 AIME Problem 4 • 1998 AIME Problem 5 • 1998 AIME Problem 7 • 1998 AIME Problem 15 • 2000 AIME II Problem 2 • 2001 AIME I Problem 10 • 2005 AIME I Problem 12 • 2005 AIME II Problem 6 • 2006 AIME I Problem 15 • 2006 AIME II Problem 13 • 2007 AIME II Problem 6 • 2008 AIME I Problem 6 • 2008 AIME I Problem 11 • 2009 AIME I Problem 11 • 2011 AIME II Problem 3 • 2012 AIME I Problem 11 • 2014 AIME II Problem 7 • 2015 AIME I Problem 3 • 2018 AIME I Problem 1 • 2018 AIME II Problem 13 • 2019 AIME II Problem 4 • 2021 AIME II Problem 15 • 2022 AIME I Problem 9 • 2022 AIME II Problem 5 • 2026 AIME I Problem 2 • 2026 AIME I Problem 8 • 2026 AIME II Problem 14