geometry
Parabola — AMC & AIME Problems
37 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Parabola — 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: Parabola - Definition & Graph, Vertex and Axis of Symmetry of a Parabola, Focus and Directrix of a Parabola.
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
AMC 12
- 1954 AMC 12 Problem 42
- 1957 AMC 12 Problem 10
- 1957 AMC 12 Problem 40
- 1957 AMC 12 Problem 43
- 1958 AMC 12 Problem 22
- 1963 AMC 12 Problem 4
- 1965 AMC 12 Problem 9
- 1969 AMC 12 Problem 26
- 1969 AMC 12 Problem 31
- 1984 AMC 12 Problem 22
- 1986 AMC 12 Problem 13
- 2001 AMC 12 Problem 13
- 2003 AMC 12A Problem 19
- 2004 AMC 12B Problem 18
- 2005 AMC 12B Problem 8
- 2005 AMC 12B Problem 24
- 2006 AMC 12B Problem 12
- 2008 AMC 12B Problem 17
- 2009 AMC 12A Problem 23
- 2011 AMC 12A Problem 14
- 2011 AMC 12B Problem 14
- 2013 AMC 12B Problem 20
- 2013 AMC 12B Problem 21
- 2014 AMC 12A Problem 25
- 2014 AMC 12B Problem 17
- 2015 AMC 12A Problem 12
- 2016 AMC 12B Problem 6
- 2018 AMC 12A Problem 16
- 2021 AMC 12A Spring Problem 20
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