geometry
Midpoint — AMC & AIME Problems
47 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.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: Coordinate Geometry: Midpoint of Two Points, Midpoints and Segment Bisectors, Triangle Mid-Segments.
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
AMC 10
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
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