Mean — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Mean — a probability and statistics 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).
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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 10 • 1985 AMC 8 Problem 17 • 1986 AMC 8 Problem 25 • 1987 AMC 8 Problem 16 • 1988 AMC 8 Problem 18 • 1988 AMC 8 Problem 21 • 1989 AMC 8 Problem 17 • 1990 AMC 8 Problem 20 • 1991 AMC 8 Problem 12 • 1991 AMC 8 Problem 19 • 1992 AMC 8 Problem 13 • 1993 AMC 8 Problem 15 • 1994 AMC 8 Problem 13 • 1995 AMC 8 Problem 17 • 1996 AMC 8 Problem 12 • 1996 AMC 8 Problem 19 • 1997 AMC 8 Problem 13 • 1997 AMC 8 Problem 14 • 1999 AMC 8 Problem 13 • 2000 AMC 8 Problem 23 • 2001 AMC 8 Problem 21 • 2002 AMC 8 Problem 3 • 2002 AMC 8 Problem 10 • 2002 AMC 8 Problem 18 • 2003 AMC 8 Problem 7 • 2004 AMC 8 Problem 9 • 2004 AMC 8 Problem 11 • 2005 AMC 8 Problem 12 • 2006 AMC 8 Problem 12 • 2006 AMC 8 Problem 25 • 2007 AMC 8 Problem 1 • 2007 AMC 8 Problem 7 • 2008 AMC 8 Problem 8 • 2008 AMC 8 Problem 10 • 2008 AMC 8 Problem 15 • 2009 AMC 8 Problem 21 • 2010 AMC 8 Problem 4 • 2011 AMC 8 Problem 4 • 2011 AMC 8 Problem 11 • 2012 AMC 8 Problem 7 • 2012 AMC 8 Problem 11 • 2013 AMC 8 Problem 5 • 2014 AMC 8 Problem 3 • 2015 AMC 8 Problem 13 • 2016 AMC 8 Problem 3 • 2018 AMC 8 Problem 8 • 2018 AMC 8 Problem 13 • 2019 AMC 8 Problem 7 • 2019 AMC 8 Problem 10 • 2020 AMC 8 Problem 2 • 2020 AMC 8 Problem 14 • 2020 AMC 8 Problem 20 • 2022 AMC 8 Problem 16 • 2025 AMC 8 Problem 9 • 2025 AMC 8 Problem 14
AMC 10
2000 AMC 10 Problem 14 • 2000 AMC 10 Problem 23 • 2001 AMC 10 Problem 1 • 2001 AMC 10 Problem 16 • 2002 AMC 10A Problem 9 • 2002 AMC 10A Problem 21 • 2002 AMC 10B Problem 3 • 2002 AMC 10B Problem 25 • 2004 AMC 10A Problem 14 • 2005 AMC 10A Problem 6 • 2005 AMC 10A Problem 17 • 2005 AMC 10B Problem 19 • 2007 AMC 10A Problem 10 • 2007 AMC 10B Problem 16 • 2008 AMC 10B Problem 13 • 2010 AMC 10A Problem 1 • 2010 AMC 10B Problem 4 • 2010 AMC 10B Problem 14 • 2011 AMC 10A Problem 3 • 2011 AMC 10A Problem 5 • 2011 AMC 10B Problem 2 • 2011 AMC 10B Problem 4 • 2012 AMC 10A Problem 5 • 2012 AMC 10A Problem 13 • 2013 AMC 10A Problem 5 • 2013 AMC 10B Problem 3 • 2013 AMC 10B Problem 6 • 2014 AMC 10A Problem 5 • 2014 AMC 10A Problem 10 • 2014 AMC 10B Problem 18 • 2015 AMC 10A Problem 5 • 2016 AMC 10A Problem 7 • 2016 AMC 10B Problem 5 • 2017 AMC 10B Problem 25 • 2019 AMC 10A Problem 12 • 2019 AMC 10B Problem 13 • 2020 AMC 10A Problem 2 • 2021 AMC 10A Spring Problem 5 • 2021 AMC 10A Spring Problem 22 • 2021 AMC 10B Spring Problem 6 • 2021 AMC 10B Spring Problem 19 • 2021 AMC 10A Fall Problem 10 • 2022 AMC 10A Problem 8 • 2022 AMC 10B Problem 10 • 2023 AMC 10A Problem 10 • 2024 AMC 10A Problem 12 • 2024 AMC 10B Problem 9 • 2024 AMC 10B Problem 15 • 2025 AMC 10A Problem 4 • 2025 AMC 10B Problem 17
AMC 12
1954 AMC 12 Problem 33 • 1958 AMC 12 Problem 6 • 1959 AMC 12 Problem 13 • 1959 AMC 12 Problem 18 • 1962 AMC 12 Problem 8 • 1963 AMC 12 Problem 11 • 1965 AMC 12 Problem 26 • 1966 AMC 12 Problem 3 • 1967 AMC 12 Problem 37 • 1968 AMC 12 Problem 17 • 1969 AMC 12 Problem 9 • 1971 AMC 12 Problem 16 • 1982 AMC 12 Problem 28 • 1994 AMC 12 Problem 24 • 1995 AMC 12 Problem 25 • 1997 AMC 12 Problem 18 • 1999 AMC 12 Problem 3 • 1999 AMC 12 Problem 20 • 2000 AMC 12 Problem 9 • 2000 AMC 12 Problem 14 • 2001 AMC 12 Problem 4 • 2002 AMC 12A Problem 15 • 2004 AMC 12A Problem 10 • 2004 AMC 12A Problem 11 • 2004 AMC 12B Problem 11 • 2005 AMC 12A Problem 5 • 2005 AMC 12B Problem 9 • 2007 AMC 12A Problem 15 • 2007 AMC 12B Problem 12 • 2008 AMC 12B Problem 12 • 2010 AMC 12B Problem 10 • 2011 AMC 12B Problem 2 • 2012 AMC 12A Problem 8 • 2013 AMC 12A Problem 5 • 2013 AMC 12A Problem 16 • 2013 AMC 12B Problem 1 • 2013 AMC 12B Problem 5 • 2014 AMC 12A Problem 5 • 2014 AMC 12A Problem 9 • 2014 AMC 12B Problem 11 • 2015 AMC 12A Problem 3 • 2016 AMC 12A Problem 4 • 2017 AMC 12B Problem 21 • 2018 AMC 12A Problem 6 • 2019 AMC 12A Problem 7 • 2019 AMC 12B Problem 7 • 2021 AMC 12B Spring Problem 4 • 2021 AMC 12B Spring Problem 12 • 2021 AMC 12A Fall Problem 7 • 2022 AMC 12A Problem 6 • 2022 AMC 12B Problem 7 • 2023 AMC 12A Problem 8 • 2023 AMC 12B Problem 1 • 2024 AMC 12A Problem 5 • 2024 AMC 12B Problem 10 • 2024 AMC 12B Problem 11 • 2025 AMC 12A Problem 3 • 2025 AMC 12B Problem 14