Power scaling of length, area, and volume — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Power scaling of length, area, and volume — 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 8
1997 AMC 8 Problem 22 • 2001 AMC 8 Problem 8 • 2001 AMC 8 Problem 9 • 2002 AMC 8 Problem 13 • 2010 AMC 8 Problem 10 • 2018 AMC 8 Problem 15 • 2025 AMC 8 Problem 18
AMC 10
2007 AMC 10B Problem 23 • 2008 AMC 10B Problem 7 • 2010 AMC 10A Problem 12 • 2013 AMC 10B Problem 15 • 2016 AMC 10B Problem 10 • 2025 AMC 10B Problem 19
AMC 12
1950 AMC 12 Problem 8 • 1950 AMC 12 Problem 33 • 1951 AMC 12 Problem 10 • 1959 AMC 12 Problem 1 • 1960 AMC 12 Problem 7 • 1960 AMC 12 Problem 21 • 1962 AMC 12 Problem 16 • 1973 AMC 12 Problem 8 • 1983 AMC 12 Problem 24 • 2004 AMC 12A Problem 9 • 2008 AMC 12B Problem 11 • 2010 AMC 12A Problem 7 • 2016 AMC 12B Problem 8 • 2016 AMC 12B Problem 23 • 2018 AMC 12A Problem 8 • 2021 AMC 12A Spring Problem 10