Midpoint — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Midpoint — 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
2002 AMC 8 Problem 20 • 2006 AMC 8 Problem 5 • 2006 AMC 8 Problem 19 • 2016 AMC 8 Problem 2 • 2022 AMC 8 Problem 18
AMC 10
2000 AMC 10 Problem 5 • 2004 AMC 10A Problem 4 • 2005 AMC 10B Problem 14 • 2005 AMC 10B Problem 23 • 2012 AMC 10A Problem 21 • 2014 AMC 10A Problem 16 • 2017 AMC 10B Problem 8 • 2018 AMC 10A Problem 24
AMC 12
1954 AMC 12 Problem 39 • 1957 AMC 12 Problem 50 • 1959 AMC 12 Problem 22 • 1963 AMC 12 Problem 6 • 1963 AMC 12 Problem 12 • 1964 AMC 12 Problem 22 • 1965 AMC 12 Problem 25 • 1970 AMC 12 Problem 12 • 1970 AMC 12 Problem 20 • 1971 AMC 12 Problem 26 • 1972 AMC 12 Problem 13 • 1975 AMC 12 Problem 11 • 1976 AMC 12 Problem 3 • 1976 AMC 12 Problem 9 • 1978 AMC 12 Problem 28 • 1979 AMC 12 Problem 1 • 1980 AMC 12 Problem 21 • 1981 AMC 12 Problem 19 • 1984 AMC 12 Problem 26 • 1989 AMC 12 Problem 4 • 1999 AMC 12 Problem 22 • 2001 AMC 12 Problem 20 • 2004 AMC 12B Problem 18 • 2005 AMC 12A Problem 15 • 2017 AMC 12B Problem 6 • 2018 AMC 12A Problem 18 • 2018 AMC 12A Problem 23 • 2023 AMC 12A Problem 6