Work backwards — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Work backwards — a problem-solving techniques 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).
Filter by difficulty
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
1987 AMC 8 Problem 15 • 1987 AMC 8 Problem 18 • 1990 AMC 8 Problem 21 • 1991 AMC 8 Problem 21 • 1996 AMC 8 Problem 12 • 1998 AMC 8 Problem 25 • 2002 AMC 8 Problem 25 • 2005 AMC 8 Problem 1 • 2005 AMC 8 Problem 24 • 2009 AMC 8 Problem 1 • 2010 AMC 8 Problem 21 • 2013 AMC 8 Problem 6 • 2020 AMC 8 Problem 22
AMC 10
2000 AMC 10 Problem 3 • 2002 AMC 10A Problem 6 • 2004 AMC 10B Problem 3 • 2009 AMC 10A Problem 8 • 2010 AMC 10A Problem 25 • 2011 AMC 10B Problem 2 • 2011 AMC 10B Problem 6 • 2012 AMC 10B Problem 11 • 2012 AMC 10B Problem 22 • 2013 AMC 10A Problem 21 • 2016 AMC 10A Problem 8 • 2017 AMC 10B Problem 1 • 2021 AMC 10B Spring Problem 9 • 2021 AMC 10A Fall Problem 2 • 2021 AMC 10A Fall Problem 23
AMC 12
1963 AMC 12 Problem 23 • 1976 AMC 12 Problem 29 • 2000 AMC 12 Problem 3 • 2002 AMC 12A Problem 2 • 2004 AMC 12B Problem 1 • 2007 AMC 12A Problem 5 • 2012 AMC 12B Problem 14 • 2013 AMC 12A Problem 7 • 2015 AMC 12B Problem 4 • 2021 AMC 12B Spring Problem 3 • 2021 AMC 12B Spring Problem 5 • 2023 AMC 12B Problem 2