Custom operation — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Custom operation — a algebra 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
1986 AMC 8 Problem 11 • 1987 AMC 8 Problem 21 • 1992 AMC 8 Problem 6 • 1993 AMC 8 Problem 9 • 1998 AMC 8 Problem 2 • 2000 AMC 8 Problem 17 • 2001 AMC 8 Problem 12 • 2007 AMC 8 Problem 10 • 2010 AMC 8 Problem 2 • 2016 AMC 8 Problem 10 • 2022 AMC 8 Problem 2
AMC 10
2002 AMC 10A Problem 2 • 2002 AMC 10B Problem 2 • 2003 AMC 10A Problem 6 • 2004 AMC 10A Problem 2 • 2005 AMC 10A Problem 2 • 2005 AMC 10B Problem 4 • 2006 AMC 10A Problem 2 • 2006 AMC 10B Problem 2 • 2007 AMC 10A Problem 2 • 2007 AMC 10B Problem 2 • 2008 AMC 10B Problem 5 • 2010 AMC 10A Problem 6 • 2010 AMC 10B Problem 4 • 2011 AMC 10A Problem 3 • 2011 AMC 10B Problem 15 • 2013 AMC 10B Problem 14 • 2015 AMC 10B Problem 7 • 2016 AMC 10A Problem 23 • 2016 AMC 10B Problem 2 • 2022 AMC 10B Problem 1
AMC 12
1962 AMC 12 Problem 27 • 1968 AMC 12 Problem 4 • 1969 AMC 12 Problem 4 • 1970 AMC 12 Problem 13 • 1971 AMC 12 Problem 6 • 1973 AMC 12 Problem 5 • 1973 AMC 12 Problem 19 • 1974 AMC 12 Problem 6 • 1982 AMC 12 Problem 7 • 2006 AMC 12A Problem 2 • 2006 AMC 12B Problem 2 • 2008 AMC 12B Problem 7 • 2016 AMC 12A Problem 3 • 2016 AMC 12A Problem 20 • 2019 AMC 12A Problem 23 • 2022 AMC 12B Problem 1 • 2023 AMC 12B Problem 12