Relative speed — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Relative speed — a arithmetic 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 17 • 2006 AMC 10A Problem 15 • 2012 AMC 10A Problem 16 • 2021 AMC 10A Fall Problem 11 • 2023 AMC 10A Problem 1
AMC 12
1950 AMC 12 Problem 28 • 1950 AMC 12 Problem 50 • 1952 AMC 12 Problem 48 • 1954 AMC 12 Problem 36 • 1954 AMC 12 Problem 48 • 1955 AMC 12 Problem 50 • 1959 AMC 12 Problem 30 • 1960 AMC 12 Problem 34 • 1962 AMC 12 Problem 35 • 1964 AMC 12 Problem 26 • 1965 AMC 12 Problem 28 • 1966 AMC 12 Problem 27 • 1968 AMC 12 Problem 25 • 1970 AMC 12 Problem 32 • 1971 AMC 12 Problem 18 • 1973 AMC 12 Problem 29 • 1989 AMC 12 Problem 12 • 1996 AMC 12 Problem 13 • 2004 AMC 12A Problem 15 • 2006 AMC 12B Problem 5 • 2007 AMC 12B Problem 6 • 2008 AMC 12B Problem 20 • 2011 AMC 12A Problem 12