Inequality — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Inequality — 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 8
1985 AMC 8 Problem 18 • 1986 AMC 8 Problem 14 • 1989 AMC 8 Problem 17 • 1996 AMC 8 Problem 5 • 1999 AMC 8 Problem 6 • 2000 AMC 8 Problem 2 • 2001 AMC 8 Problem 20 • 2007 AMC 8 Problem 15 • 2008 AMC 8 Problem 22 • 2012 AMC 8 Problem 20 • 2022 AMC 8 Problem 20 • 2022 AMC 8 Problem 21
AMC 10
2002 AMC 10A Problem 4 • 2003 AMC 10B Problem 16 • 2004 AMC 10A Problem 15 • 2005 AMC 10A Problem 13 • 2005 AMC 10B Problem 6 • 2007 AMC 10B Problem 6 • 2008 AMC 10B Problem 4 • 2008 AMC 10B Problem 25 • 2009 AMC 10B Problem 14 • 2010 AMC 10A Problem 11 • 2010 AMC 10A Problem 23 • 2010 AMC 10B Problem 11 • 2010 AMC 10B Problem 15 • 2010 AMC 10B Problem 17 • 2011 AMC 10A Problem 14 • 2012 AMC 10B Problem 6 • 2012 AMC 10B Problem 8 • 2012 AMC 10B Problem 20 • 2014 AMC 10A Problem 7 • 2014 AMC 10A Problem 11 • 2014 AMC 10B Problem 11 • 2014 AMC 10B Problem 20 • 2015 AMC 10B Problem 12 • 2016 AMC 10A Problem 17 • 2017 AMC 10B Problem 3 • 2018 AMC 10A Problem 5 • 2019 AMC 10B Problem 24 • 2020 AMC 10A Problem 17 • 2020 AMC 10B Problem 24 • 2021 AMC 10A Fall Problem 20 • 2022 AMC 10B Problem 24 • 2023 AMC 10B Problem 2 • 2023 AMC 10B Problem 12 • 2024 AMC 10A Problem 4
AMC 12
1951 AMC 12 Problem 21 • 1952 AMC 12 Problem 45 • 1954 AMC 12 Problem 18 • 1957 AMC 12 Problem 13 • 1957 AMC 12 Problem 29 • 1957 AMC 12 Problem 34 • 1957 AMC 12 Problem 45 • 1958 AMC 12 Problem 17 • 1958 AMC 12 Problem 34 • 1958 AMC 12 Problem 38 • 1958 AMC 12 Problem 46 • 1959 AMC 12 Problem 25 • 1959 AMC 12 Problem 35 • 1959 AMC 12 Problem 44 • 1960 AMC 12 Problem 26 • 1960 AMC 12 Problem 29 • 1961 AMC 12 Problem 20 • 1961 AMC 12 Problem 27 • 1961 AMC 12 Problem 34 • 1962 AMC 12 Problem 29 • 1962 AMC 12 Problem 33 • 1963 AMC 12 Problem 5 • 1963 AMC 12 Problem 19 • 1963 AMC 12 Problem 24 • 1963 AMC 12 Problem 32 • 1963 AMC 12 Problem 34 • 1964 AMC 12 Problem 12 • 1964 AMC 12 Problem 27 • 1964 AMC 12 Problem 37 • 1964 AMC 12 Problem 39 • 1965 AMC 12 Problem 10 • 1965 AMC 12 Problem 13 • 1965 AMC 12 Problem 23 • 1965 AMC 12 Problem 24 • 1966 AMC 12 Problem 13 • 1966 AMC 12 Problem 15 • 1966 AMC 12 Problem 23 • 1967 AMC 12 Problem 7 • 1967 AMC 12 Problem 17 • 1967 AMC 12 Problem 18 • 1967 AMC 12 Problem 26 • 1968 AMC 12 Problem 16 • 1968 AMC 12 Problem 26 • 1968 AMC 12 Problem 29 • 1969 AMC 12 Problem 14 • 1970 AMC 12 Problem 6 • 1970 AMC 12 Problem 17 • 1971 AMC 12 Problem 8 • 1971 AMC 12 Problem 27 • 1971 AMC 12 Problem 29 • 1972 AMC 12 Problem 5 • 1972 AMC 12 Problem 10 • 1972 AMC 12 Problem 17 • 1972 AMC 12 Problem 33 • 1973 AMC 12 Problem 11 • 1973 AMC 12 Problem 16 • 1973 AMC 12 Problem 22 • 1973 AMC 12 Problem 27 • 1974 AMC 12 Problem 10 • 1974 AMC 12 Problem 14 • 1974 AMC 12 Problem 15 • 1974 AMC 12 Problem 27 • 1975 AMC 12 Problem 3 • 1975 AMC 12 Problem 13 • 1976 AMC 12 Problem 2 • 1976 AMC 12 Problem 7 • 1976 AMC 12 Problem 21 • 1977 AMC 12 Problem 26 • 1977 AMC 12 Problem 29 • 1978 AMC 12 Problem 18 • 1978 AMC 12 Problem 25 • 1979 AMC 12 Problem 13 • 1980 AMC 12 Problem 1 • 1980 AMC 12 Problem 6 • 1981 AMC 12 Problem 12 • 1981 AMC 12 Problem 13 • 1981 AMC 12 Problem 20 • 1981 AMC 12 Problem 28 • 1982 AMC 12 Problem 15 • 1982 AMC 12 Problem 29 • 1983 AMC 12 Problem 21 • 1983 AMC 12 Problem 22 • 1983 AMC 12 Problem 26 • 1984 AMC 12 Problem 5 • 1984 AMC 12 Problem 24 • 1985 AMC 12 Problem 8 • 1985 AMC 12 Problem 14 • 1985 AMC 12 Problem 27 • 1985 AMC 12 Problem 30 • 1986 AMC 12 Problem 15 • 1989 AMC 12 Problem 11 • 2002 AMC 12A Problem 6 • 2004 AMC 12A Problem 2 • 2004 AMC 12A Problem 16 • 2007 AMC 12B Problem 5 • 2007 AMC 12B Problem 17 • 2009 AMC 12B Problem 11 • 2009 AMC 12B Problem 15 • 2010 AMC 12A Problem 4 • 2010 AMC 12A Problem 5 • 2010 AMC 12A Problem 19 • 2010 AMC 12B Problem 8 • 2010 AMC 12B Problem 14 • 2010 AMC 12B Problem 24 • 2011 AMC 12A Problem 10 • 2012 AMC 12A Problem 24 • 2012 AMC 12B Problem 6 • 2012 AMC 12B Problem 14 • 2013 AMC 12B Problem 17 • 2014 AMC 12A Problem 8 • 2014 AMC 12A Problem 18 • 2014 AMC 12B Problem 20 • 2015 AMC 12A Problem 5 • 2015 AMC 12B Problem 5 • 2016 AMC 12A Problem 13 • 2017 AMC 12B Problem 2 • 2018 AMC 12A Problem 4 • 2018 AMC 12A Problem 9 • 2018 AMC 12A Problem 21 • 2018 AMC 12B Problem 17 • 2020 AMC 12B Problem 21 • 2021 AMC 12A Fall Problem 17 • 2023 AMC 12B Problem 7 • 2023 AMC 12B Problem 18 • 2025 AMC 12A Problem 18
AIME
1987 AIME Problem 8 • 1987 AIME Problem 12 • 1988 AIME Problem 4 • 1990 AIME Problem 11 • 1991 AIME Problem 3 • 1992 AIME Problem 3 • 1998 AIME Problem 2 • 2003 AIME II Problem 12 • 2004 AIME I Problem 5 • 2004 AIME II Problem 5 • 2010 AIME II Problem 13 • 2011 AIME I Problem 12 • 2013 AIME II Problem 6 • 2015 AIME II Problem 5 • 2015 AIME II Problem 8 • 2016 AIME II Problem 15 • 2022 AIME II Problem 6 • 2025 AIME I Problem 12