Similarity — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Similarity — a geometry 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
1994 AMC 8 Problem 16 • 1999 AMC 8 Problem 25 • 2002 AMC 8 Problem 20 • 2016 AMC 8 Problem 22 • 2017 AMC 8 Problem 22 • 2018 AMC 8 Problem 20 • 2018 AMC 8 Problem 22 • 2023 AMC 8 Problem 19 • 2023 AMC 8 Problem 24 • 2025 AMC 8 Problem 18
AMC 10
2000 AMC 10 Problem 19 • 2001 AMC 10 Problem 21 • 2002 AMC 10A Problem 20 • 2002 AMC 10A Problem 25 • 2003 AMC 10B Problem 20 • 2004 AMC 10B Problem 20 • 2004 AMC 10B Problem 24 • 2006 AMC 10A Problem 16 • 2006 AMC 10A Problem 23 • 2007 AMC 10B Problem 21 • 2008 AMC 10A Problem 20 • 2009 AMC 10A Problem 17 • 2009 AMC 10A Problem 23 • 2009 AMC 10B Problem 18 • 2009 AMC 10B Problem 22 • 2011 AMC 10A Problem 24 • 2011 AMC 10B Problem 9 • 2012 AMC 10A Problem 11 • 2012 AMC 10B Problem 19 • 2013 AMC 10A Problem 12 • 2013 AMC 10B Problem 23 • 2014 AMC 10A Problem 16 • 2014 AMC 10A Problem 19 • 2015 AMC 10B Problem 22 • 2016 AMC 10A Problem 19 • 2016 AMC 10B Problem 10 • 2016 AMC 10B Problem 19 • 2016 AMC 10B Problem 23 • 2017 AMC 10A Problem 21 • 2017 AMC 10B Problem 15 • 2017 AMC 10B Problem 22 • 2018 AMC 10A Problem 9 • 2018 AMC 10A Problem 13 • 2018 AMC 10A Problem 15 • 2021 AMC 10A Spring Problem 12 • 2021 AMC 10A Spring Problem 17 • 2021 AMC 10B Fall Problem 13 • 2021 AMC 10B Fall Problem 15 • 2021 AMC 10B Fall Problem 25 • 2022 AMC 10A Problem 13 • 2022 AMC 10B Problem 16 • 2023 AMC 10B Problem 25 • 2024 AMC 10A Problem 16 • 2025 AMC 10A Problem 15 • 2025 AMC 10A Problem 23 • 2025 AMC 10B Problem 19
AMC 12
1950 AMC 12 Problem 47 • 1951 AMC 12 Problem 29 • 1953 AMC 12 Problem 12 • 1954 AMC 12 Problem 29 • 1956 AMC 12 Problem 26 • 1957 AMC 12 Problem 18 • 1957 AMC 12 Problem 35 • 1957 AMC 12 Problem 37 • 1958 AMC 12 Problem 19 • 1958 AMC 12 Problem 42 • 1958 AMC 12 Problem 47 • 1958 AMC 12 Problem 50 • 1959 AMC 12 Problem 2 • 1960 AMC 12 Problem 15 • 1960 AMC 12 Problem 37 • 1962 AMC 12 Problem 16 • 1963 AMC 12 Problem 18 • 1964 AMC 12 Problem 29 • 1965 AMC 12 Problem 8 • 1965 AMC 12 Problem 12 • 1965 AMC 12 Problem 36 • 1966 AMC 12 Problem 40 • 1967 AMC 12 Problem 15 • 1967 AMC 12 Problem 21 • 1967 AMC 12 Problem 29 • 1968 AMC 12 Problem 18 • 1971 AMC 12 Problem 28 • 1972 AMC 12 Problem 13 • 1972 AMC 12 Problem 18 • 1973 AMC 12 Problem 8 • 1974 AMC 12 Problem 23 • 1977 AMC 12 Problem 2 • 1979 AMC 12 Problem 28 • 1979 AMC 12 Problem 30 • 1980 AMC 12 Problem 26 • 1981 AMC 12 Problem 23 • 1982 AMC 12 Problem 10 • 1982 AMC 12 Problem 14 • 1983 AMC 12 Problem 23 • 1983 AMC 12 Problem 24 • 1983 AMC 12 Problem 27 • 1983 AMC 12 Problem 28 • 1984 AMC 12 Problem 17 • 1984 AMC 12 Problem 27 • 1989 AMC 12 Problem 4 • 1999 AMC 12 Problem 2 • 2000 AMC 12 Problem 21 • 2001 AMC 12 Problem 22 • 2002 AMC 12A Problem 18 • 2003 AMC 12B Problem 14 • 2004 AMC 12B Problem 14 • 2006 AMC 12A Problem 16 • 2007 AMC 12B Problem 22 • 2008 AMC 12B Problem 11 • 2009 AMC 12A Problem 20 • 2013 AMC 12A Problem 9 • 2013 AMC 12B Problem 19 • 2013 AMC 12B Problem 24 • 2014 AMC 12B Problem 12 • 2016 AMC 12B Problem 21 • 2017 AMC 12A Problem 19 • 2017 AMC 12A Problem 24 • 2017 AMC 12B Problem 14 • 2017 AMC 12B Problem 18 • 2017 AMC 12B Problem 24 • 2018 AMC 12A Problem 8 • 2018 AMC 12A Problem 11 • 2021 AMC 12A Spring Problem 10 • 2021 AMC 12A Spring Problem 17 • 2021 AMC 12B Fall Problem 24 • 2025 AMC 12B Problem 15
AIME
1984 AIME Problem 3 • 1986 AIME Problem 9 • 1987 AIME Problem 15 • 1991 AIME Problem 2 • 1995 AIME Problem 11 • 1996 AIME Problem 4 • 1998 AIME Problem 6 • 1999 AIME Problem 8 • 2000 AIME I Problem 8 • 2000 AIME II Problem 6 • 2001 AIME I Problem 7 • 2001 AIME II Problem 7 • 2001 AIME II Problem 13 • 2002 AIME II Problem 14 • 2003 AIME I Problem 15 • 2003 AIME II Problem 6 • 2004 AIME I Problem 9 • 2004 AIME II Problem 13 • 2006 AIME I Problem 7 • 2006 AIME II Problem 12 • 2007 AIME I Problem 12 • 2007 AIME I Problem 15 • 2008 AIME I Problem 2 • 2009 AIME I Problem 5 • 2010 AIME I Problem 13 • 2011 AIME I Problem 8 • 2012 AIME I Problem 8 • 2013 AIME I Problem 13 • 2015 AIME I Problem 7 • 2015 AIME II Problem 7 • 2015 AIME II Problem 11 • 2016 AIME I Problem 6 • 2016 AIME I Problem 15 • 2016 AIME II Problem 5 • 2016 AIME II Problem 10 • 2018 AIME II Problem 7 • 2019 AIME I Problem 6 • 2019 AIME II Problem 7 • 2019 AIME II Problem 11 • 2019 AIME II Problem 15 • 2021 AIME I Problem 11 • 2022 AIME II Problem 7 • 2024 AIME II Problem 5 • 2024 AIME II Problem 8