Tangent line — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Tangent line — 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).
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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 10
2004 AMC 10A Problem 22 • 2004 AMC 10B Problem 12 • 2006 AMC 10A Problem 23 • 2007 AMC 10A Problem 24 • 2009 AMC 10B Problem 16 • 2010 AMC 10B Problem 20 • 2012 AMC 10A Problem 11 • 2014 AMC 10B Problem 19 • 2017 AMC 10A Problem 22 • 2019 AMC 10B Problem 23 • 2021 AMC 10A Fall Problem 15 • 2024 AMC 10A Problem 14 • 2024 AMC 10B Problem 14 • 2025 AMC 10A Problem 20
AMC 12
1951 AMC 12 Problem 16 • 1952 AMC 12 Problem 8 • 1954 AMC 12 Problem 26 • 1959 AMC 12 Problem 32 • 1960 AMC 12 Problem 32 • 1961 AMC 12 Problem 11 • 1962 AMC 12 Problem 25 • 1963 AMC 12 Problem 4 • 1964 AMC 12 Problem 13 • 1965 AMC 12 Problem 30 • 1966 AMC 12 Problem 40 • 1967 AMC 12 Problem 29 • 1969 AMC 12 Problem 10 • 1969 AMC 12 Problem 21 • 1971 AMC 12 Problem 9 • 1971 AMC 12 Problem 19 • 1974 AMC 12 Problem 23 • 1976 AMC 12 Problem 18 • 1976 AMC 12 Problem 26 • 1978 AMC 12 Problem 11 • 1982 AMC 12 Problem 14 • 1983 AMC 12 Problem 27 • 1984 AMC 12 Problem 29 • 1990 AMC 12 Problem 6 • 2000 AMC 12 Problem 17 • 2002 AMC 12A Problem 18 • 2004 AMC 12A Problem 18 • 2004 AMC 12B Problem 10 • 2004 AMC 12B Problem 19 • 2004 AMC 12B Problem 21 • 2005 AMC 12B Problem 14 • 2006 AMC 12A Problem 16 • 2006 AMC 12A Problem 17 • 2006 AMC 12A Problem 19 • 2011 AMC 12B Problem 6 • 2015 AMC 12A Problem 11 • 2019 AMC 12A Problem 22 • 2019 AMC 12B Problem 20 • 2021 AMC 12B Fall Problem 22 • 2023 AMC 12B Problem 21
AIME
1983 AIME Problem 15 • 1993 AIME Problem 13 • 1994 AIME Problem 7 • 2000 AIME I Problem 13 • 2002 AIME II Problem 14 • 2002 AIME II Problem 15 • 2004 AIME I Problem 14 • 2005 AIME I Problem 11 • 2006 AIME II Problem 9 • 2008 AIME I Problem 14 • 2009 AIME I Problem 12 • 2014 AIME I Problem 7 • 2018 AIME II Problem 14 • 2019 AIME II Problem 11 • 2020 AIME II Problem 13 • 2020 AIME II Problem 15 • 2022 AIME I Problem 11 • 2022 AIME II Problem 7 • 2024 AIME I Problem 10 • 2025 AIME I Problem 8 • 2026 AIME II Problem 6