Recursion — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Recursion — 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 10
2002 AMC 10A Problem 22 • 2004 AMC 10A Problem 24 • 2004 AMC 10B Problem 19 • 2005 AMC 10B Problem 11 • 2006 AMC 10B Problem 18 • 2008 AMC 10B Problem 11 • 2009 AMC 10A Problem 15 • 2009 AMC 10B Problem 14 • 2010 AMC 10A Problem 25 • 2011 AMC 10A Problem 17 • 2011 AMC 10B Problem 25 • 2012 AMC 10B Problem 20 • 2018 AMC 10B Problem 20 • 2019 AMC 10A Problem 15 • 2019 AMC 10B Problem 18 • 2019 AMC 10B Problem 24 • 2021 AMC 10A Fall Problem 23 • 2023 AMC 10B Problem 6 • 2024 AMC 10A Problem 10 • 2025 AMC 10A Problem 19 • 2025 AMC 10B Problem 3
AMC 12
1950 AMC 12 Problem 42 • 1951 AMC 12 Problem 42 • 1958 AMC 12 Problem 40 • 1964 AMC 12 Problem 31 • 1966 AMC 12 Problem 25 • 1969 AMC 12 Problem 32 • 1970 AMC 12 Problem 16 • 1971 AMC 12 Problem 30 • 1975 AMC 12 Problem 15 • 1976 AMC 12 Problem 25 • 1977 AMC 12 Problem 13 • 1978 AMC 12 Problem 28 • 1979 AMC 12 Problem 26 • 1982 AMC 12 Problem 30 • 1984 AMC 12 Problem 12 • 1985 AMC 12 Problem 27 • 1989 AMC 12 Problem 10 • 1999 AMC 12 Problem 20 • 2001 AMC 12 Problem 25 • 2004 AMC 12A Problem 17 • 2004 AMC 12B Problem 12 • 2005 AMC 12A Problem 20 • 2005 AMC 12B Problem 10 • 2005 AMC 12B Problem 22 • 2006 AMC 12A Problem 23 • 2008 AMC 12A Problem 17 • 2008 AMC 12B Problem 24 • 2009 AMC 12A Problem 24 • 2009 AMC 12A Problem 25 • 2009 AMC 12B Problem 11 • 2009 AMC 12B Problem 21 • 2011 AMC 12A Problem 21 • 2011 AMC 12B Problem 17 • 2011 AMC 12B Problem 22 • 2012 AMC 12B Problem 24 • 2013 AMC 12A Problem 7 • 2014 AMC 12A Problem 24 • 2015 AMC 12B Problem 20 • 2016 AMC 12B Problem 21 • 2016 AMC 12B Problem 25 • 2017 AMC 12A Problem 7 • 2018 AMC 12B Problem 18 • 2019 AMC 12A Problem 9 • 2019 AMC 12A Problem 17 • 2019 AMC 12A Problem 25 • 2019 AMC 12B Problem 22 • 2021 AMC 12A Spring Problem 8 • 2021 AMC 12A Fall Problem 20 • 2021 AMC 12B Fall Problem 18 • 2022 AMC 12A Problem 16 • 2023 AMC 12A Problem 17 • 2023 AMC 12A Problem 20 • 2023 AMC 12A Problem 22 • 2024 AMC 12A Problem 21
AIME
1984 AIME Problem 7 • 1985 AIME Problem 1 • 1985 AIME Problem 5 • 1985 AIME Problem 12 • 1988 AIME Problem 2 • 1990 AIME Problem 15 • 1992 AIME Problem 8 • 1993 AIME Problem 11 • 1993 AIME Problem 12 • 1994 AIME Problem 3 • 1998 AIME Problem 8 • 1998 AIME Problem 13 • 2001 AIME II Problem 3 • 2001 AIME II Problem 12 • 2002 AIME I Problem 8 • 2002 AIME I Problem 12 • 2005 AIME II Problem 11 • 2006 AIME I Problem 15 • 2006 AIME II Problem 11 • 2007 AIME I Problem 14 • 2008 AIME II Problem 6 • 2009 AIME I Problem 13 • 2009 AIME II Problem 14 • 2011 AIME II Problem 11 • 2013 AIME I Problem 13 • 2014 AIME II Problem 15 • 2015 AIME I Problem 9 • 2016 AIME I Problem 13 • 2017 AIME I Problem 9 • 2018 AIME II Problem 2 • 2019 AIME II Problem 2 • 2020 AIME II Problem 6 • 2020 AIME II Problem 8 • 2021 AIME I Problem 10 • 2023 AIME II Problem 13 • 2025 AIME II Problem 13