Difference of squares — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Difference of squares — 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).
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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
2007 AMC 8 Problem 19 • 2016 AMC 8 Problem 15 • 2019 AMC 8 Problem 20 • 2019 AMC 8 Problem 22 • 2025 AMC 8 Problem 23
AMC 10
2001 AMC 10 Problem 11 • 2001 AMC 10 Problem 24 • 2005 AMC 10A Problem 24 • 2005 AMC 10B Problem 24 • 2006 AMC 10B Problem 2 • 2007 AMC 10A Problem 23 • 2009 AMC 10A Problem 11 • 2011 AMC 10A Problem 19 • 2012 AMC 10A Problem 22 • 2014 AMC 10B Problem 17 • 2018 AMC 10A Problem 10 • 2019 AMC 10A Problem 19 • 2020 AMC 10B Problem 22 • 2021 AMC 10A Spring Problem 10 • 2021 AMC 10B Fall Problem 3 • 2021 AMC 10B Fall Problem 8 • 2022 AMC 10B Problem 5 • 2023 AMC 10A Problem 23 • 2023 AMC 10B Problem 9 • 2024 AMC 10A Problem 11 • 2024 AMC 10A Problem 15
AMC 12
1950 AMC 12 Problem 4 • 1950 AMC 12 Problem 16 • 1950 AMC 12 Problem 40 • 1952 AMC 12 Problem 39 • 1952 AMC 12 Problem 46 • 1953 AMC 12 Problem 18 • 1954 AMC 12 Problem 32 • 1955 AMC 12 Problem 13 • 1955 AMC 12 Problem 25 • 1956 AMC 12 Problem 39 • 1957 AMC 12 Problem 24 • 1958 AMC 12 Problem 9 • 1959 AMC 12 Problem 35 • 1960 AMC 12 Problem 9 • 1960 AMC 12 Problem 22 • 1960 AMC 12 Problem 25 • 1961 AMC 12 Problem 33 • 1962 AMC 12 Problem 9 • 1962 AMC 12 Problem 36 • 1962 AMC 12 Problem 38 • 1963 AMC 12 Problem 21 • 1964 AMC 12 Problem 2 • 1964 AMC 12 Problem 4 • 1971 AMC 12 Problem 32 • 1977 AMC 12 Problem 7 • 1977 AMC 12 Problem 12 • 1978 AMC 12 Problem 3 • 1979 AMC 12 Problem 29 • 1981 AMC 12 Problem 21 • 1984 AMC 12 Problem 1 • 1986 AMC 12 Problem 9 • 1999 AMC 12 Problem 15 • 2005 AMC 12B Problem 19 • 2006 AMC 12B Problem 2 • 2009 AMC 12A Problem 5 • 2009 AMC 12B Problem 19 • 2011 AMC 12B Problem 15 • 2011 AMC 12B Problem 21 • 2016 AMC 12A Problem 7 • 2016 AMC 12B Problem 10 • 2020 AMC 12B Problem 2 • 2021 AMC 12A Spring Problem 9 • 2021 AMC 12B Fall Problem 6 • 2022 AMC 12B Problem 8 • 2024 AMC 12A Problem 9
AIME
1985 AIME Problem 7 • 1986 AIME Problem 2 • 1989 AIME Problem 1 • 1989 AIME Problem 7 • 1991 AIME Problem 15 • 1997 AIME Problem 1 • 1999 AIME Problem 3 • 2000 AIME II Problem 2 • 2003 AIME I Problem 2 • 2003 AIME I Problem 7 • 2003 AIME I Problem 12 • 2003 AIME II Problem 10 • 2005 AIME I Problem 4 • 2005 AIME II Problem 3 • 2005 AIME II Problem 7 • 2006 AIME I Problem 7 • 2006 AIME II Problem 5 • 2006 AIME II Problem 13 • 2008 AIME I Problem 4 • 2008 AIME II Problem 1 • 2008 AIME II Problem 15 • 2010 AIME I Problem 5 • 2012 AIME I Problem 10 • 2017 AIME II Problem 6 • 2022 AIME I Problem 5 • 2026 AIME I Problem 3