Digits — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Digits — 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
1985 AMC 8 Problem 15 • 1992 AMC 8 Problem 7 • 1993 AMC 8 Problem 20 • 1993 AMC 8 Problem 22 • 1994 AMC 8 Problem 8 • 1994 AMC 8 Problem 25 • 1996 AMC 8 Problem 14 • 1997 AMC 8 Problem 5 • 1997 AMC 8 Problem 23 • 2000 AMC 8 Problem 9 • 2000 AMC 8 Problem 11 • 2002 AMC 8 Problem 4 • 2002 AMC 8 Problem 19 • 2004 AMC 8 Problem 8 • 2006 AMC 8 Problem 11 • 2007 AMC 8 Problem 18 • 2007 AMC 8 Problem 24 • 2009 AMC 8 Problem 16 • 2009 AMC 8 Problem 22 • 2010 AMC 8 Problem 22 • 2011 AMC 8 Problem 15 • 2014 AMC 8 Problem 8 • 2014 AMC 8 Problem 21 • 2014 AMC 8 Problem 22 • 2015 AMC 8 Problem 10 • 2016 AMC 8 Problem 11 • 2018 AMC 8 Problem 3 • 2018 AMC 8 Problem 14 • 2020 AMC 8 Problem 7 • 2020 AMC 8 Problem 19 • 2023 AMC 8 Problem 25 • 2026 AMC 8 Problem 16
AMC 10
2001 AMC 10 Problem 6 • 2001 AMC 10 Problem 13 • 2002 AMC 10A Problem 15 • 2002 AMC 10B Problem 3 • 2002 AMC 10B Problem 14 • 2003 AMC 10A Problem 14 • 2003 AMC 10B Problem 13 • 2003 AMC 10B Problem 25 • 2004 AMC 10B Problem 2 • 2004 AMC 10B Problem 17 • 2005 AMC 10A Problem 14 • 2005 AMC 10A Problem 16 • 2005 AMC 10B Problem 11 • 2005 AMC 10B Problem 24 • 2006 AMC 10A Problem 4 • 2006 AMC 10A Problem 21 • 2006 AMC 10B Problem 11 • 2007 AMC 10A Problem 25 • 2007 AMC 10B Problem 8 • 2007 AMC 10B Problem 24 • 2009 AMC 10A Problem 5 • 2009 AMC 10B Problem 19 • 2010 AMC 10A Problem 9 • 2011 AMC 10A Problem 13 • 2011 AMC 10B Problem 5 • 2012 AMC 10B Problem 20 • 2013 AMC 10A Problem 13 • 2013 AMC 10B Problem 18 • 2014 AMC 10A Problem 20 • 2014 AMC 10B Problem 10 • 2014 AMC 10B Problem 14 • 2015 AMC 10A Problem 18 • 2016 AMC 10A Problem 6 • 2016 AMC 10A Problem 9 • 2016 AMC 10B Problem 6 • 2016 AMC 10B Problem 24 • 2017 AMC 10A Problem 20 • 2017 AMC 10A Problem 25 • 2017 AMC 10B Problem 1 • 2017 AMC 10B Problem 16 • 2017 AMC 10B Problem 17 • 2017 AMC 10B Problem 23 • 2018 AMC 10A Problem 25 • 2018 AMC 10B Problem 19 • 2019 AMC 10B Problem 6 • 2019 AMC 10B Problem 12 • 2019 AMC 10B Problem 14 • 2020 AMC 10A Problem 6 • 2020 AMC 10B Problem 19 • 2021 AMC 10A Fall Problem 5 • 2021 AMC 10A Fall Problem 8 • 2021 AMC 10B Fall Problem 19 • 2022 AMC 10A Problem 17 • 2022 AMC 10B Problem 3 • 2022 AMC 10B Problem 13 • 2023 AMC 10A Problem 5 • 2023 AMC 10A Problem 9 • 2023 AMC 10A Problem 12 • 2023 AMC 10B Problem 16
AMC 12
1950 AMC 12 Problem 7 • 1952 AMC 12 Problem 44 • 1957 AMC 12 Problem 24 • 1957 AMC 12 Problem 38 • 1958 AMC 12 Problem 45 • 1960 AMC 12 Problem 16 • 1968 AMC 12 Problem 26 • 1969 AMC 12 Problem 20 • 1970 AMC 12 Problem 31 • 1970 AMC 12 Problem 33 • 1971 AMC 12 Problem 25 • 1972 AMC 12 Problem 33 • 1973 AMC 12 Problem 31 • 1976 AMC 12 Problem 5 • 1979 AMC 12 Problem 5 • 1980 AMC 12 Problem 30 • 1981 AMC 12 Problem 16 • 1982 AMC 12 Problem 11 • 1983 AMC 12 Problem 16 • 1984 AMC 12 Problem 9 • 1985 AMC 12 Problem 29 • 1995 AMC 12 Problem 13 • 1997 AMC 12 Problem 1 • 1997 AMC 12 Problem 13 • 1998 AMC 12 Problem 2 • 1998 AMC 12 Problem 3 • 1999 AMC 12 Problem 6 • 1999 AMC 12 Problem 11 • 2001 AMC 12 Problem 2 • 2001 AMC 12 Problem 6 • 2002 AMC 12A Problem 17 • 2002 AMC 12B Problem 1 • 2002 AMC 12B Problem 15 • 2003 AMC 12B Problem 8 • 2004 AMC 12B Problem 4 • 2004 AMC 12B Problem 25 • 2005 AMC 12A Problem 8 • 2005 AMC 12A Problem 11 • 2005 AMC 12B Problem 10 • 2005 AMC 12B Problem 15 • 2005 AMC 12B Problem 19 • 2006 AMC 12A Problem 4 • 2006 AMC 12B Problem 9 • 2006 AMC 12B Problem 19 • 2007 AMC 12A Problem 16 • 2007 AMC 12A Problem 22 • 2008 AMC 12B Problem 17 • 2009 AMC 12A Problem 12 • 2009 AMC 12B Problem 10 • 2010 AMC 12A Problem 6 • 2011 AMC 12B Problem 4 • 2011 AMC 12B Problem 5 • 2011 AMC 12B Problem 17 • 2011 AMC 12B Problem 21 • 2013 AMC 12A Problem 22 • 2014 AMC 12A Problem 6 • 2014 AMC 12A Problem 16 • 2014 AMC 12A Problem 23 • 2016 AMC 12A Problem 25 • 2017 AMC 12A Problem 18 • 2017 AMC 12B Problem 19 • 2018 AMC 12A Problem 25 • 2018 AMC 12B Problem 15 • 2019 AMC 12A Problem 24 • 2020 AMC 12A Problem 4 • 2023 AMC 12A Problem 4 • 2023 AMC 12A Problem 7 • 2025 AMC 12B Problem 9
AIME
1983 AIME Problem 10 • 1983 AIME Problem 12 • 1984 AIME Problem 2 • 1986 AIME Problem 10 • 1987 AIME Problem 1 • 1988 AIME Problem 2 • 1989 AIME Problem 3 • 1990 AIME Problem 13 • 1992 AIME Problem 2 • 1992 AIME Problem 6 • 1993 AIME Problem 1 • 1994 AIME Problem 5 • 1999 AIME Problem 5 • 2000 AIME I Problem 1 • 2001 AIME I Problem 1 • 2001 AIME I Problem 8 • 2001 AIME II Problem 1 • 2002 AIME I Problem 3 • 2002 AIME II Problem 1 • 2003 AIME I Problem 9 • 2003 AIME II Problem 2 • 2004 AIME I Problem 6 • 2004 AIME II Problem 4 • 2004 AIME II Problem 14 • 2006 AIME I Problem 3 • 2006 AIME I Problem 6 • 2006 AIME II Problem 7 • 2006 AIME II Problem 14 • 2007 AIME II Problem 6 • 2009 AIME I Problem 1 • 2010 AIME I Problem 10 • 2010 AIME I Problem 14 • 2010 AIME II Problem 1 • 2012 AIME I Problem 1 • 2013 AIME I Problem 2 • 2014 AIME I Problem 8 • 2014 AIME II Problem 4 • 2015 AIME I Problem 8 • 2015 AIME II Problem 3 • 2017 AIME II Problem 4 • 2019 AIME I Problem 1 • 2020 AIME I Problem 3 • 2020 AIME I Problem 4 • 2020 AIME II Problem 5 • 2022 AIME I Problem 2 • 2024 AIME II Problem 3 • 2024 AIME II Problem 7 • 2024 AIME II Problem 14 • 2026 AIME I Problem 2 • 2026 AIME II Problem 4