Volume — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses 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).
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
1990 AMC 8 Problem 17 • 1991 AMC 8 Problem 24 • 1992 AMC 8 Problem 16 • 1994 AMC 8 Problem 17 • 1997 AMC 8 Problem 22 • 2002 AMC 8 Problem 13 • 2006 AMC 8 Problem 21 • 2008 AMC 8 Problem 16 • 2008 AMC 8 Problem 21 • 2013 AMC 8 Problem 18 • 2019 AMC 8 Problem 9 • 2022 AMC 8 Problem 24 • 2025 AMC 8 Problem 8
AMC 10
2003 AMC 10A Problem 3 • 2003 AMC 10B Problem 17 • 2004 AMC 10A Problem 11 • 2006 AMC 10A Problem 24 • 2007 AMC 10A Problem 3 • 2008 AMC 10B Problem 19 • 2009 AMC 10A Problem 11 • 2009 AMC 10B Problem 22 • 2010 AMC 10A Problem 17 • 2011 AMC 10A Problem 24 • 2011 AMC 10B Problem 22 • 2012 AMC 10A Problem 25 • 2012 AMC 10B Problem 17 • 2012 AMC 10B Problem 23 • 2014 AMC 10B Problem 23 • 2015 AMC 10A Problem 9 • 2015 AMC 10A Problem 21 • 2015 AMC 10B Problem 17 • 2016 AMC 10A Problem 5 • 2017 AMC 10A Problem 11 • 2017 AMC 10B Problem 6 • 2018 AMC 10B Problem 10 • 2020 AMC 10B Problem 2 • 2020 AMC 10B Problem 20 • 2021 AMC 10A Spring Problem 12 • 2021 AMC 10A Spring Problem 13 • 2021 AMC 10B Spring Problem 10 • 2021 AMC 10A Fall Problem 3 • 2022 AMC 10A Problem 16 • 2025 AMC 10B Problem 19
AMC 12
1950 AMC 12 Problem 21 • 1951 AMC 12 Problem 6 • 1951 AMC 12 Problem 23 • 1952 AMC 12 Problem 41 • 1954 AMC 12 Problem 27 • 1957 AMC 12 Problem 6 • 1960 AMC 12 Problem 23 • 1971 AMC 12 Problem 15 • 1972 AMC 12 Problem 12 • 1973 AMC 12 Problem 32 • 1985 AMC 12 Problem 25 • 1989 AMC 12 Problem 26 • 1990 AMC 12 Problem 21 • 1999 AMC 12 Problem 29 • 2003 AMC 12A Problem 3 • 2003 AMC 12B Problem 13 • 2005 AMC 12A Problem 17 • 2007 AMC 12A Problem 2 • 2007 AMC 12A Problem 20 • 2008 AMC 12A Problem 8 • 2008 AMC 12A Problem 18 • 2008 AMC 12B Problem 18 • 2009 AMC 12A Problem 5 • 2010 AMC 12A Problem 7 • 2010 AMC 12A Problem 9 • 2012 AMC 12A Problem 3 • 2012 AMC 12B Problem 15 • 2014 AMC 12B Problem 19 • 2015 AMC 12A Problem 7 • 2015 AMC 12A Problem 16 • 2015 AMC 12B Problem 16 • 2016 AMC 12A Problem 23 • 2016 AMC 12B Problem 23 • 2017 AMC 12A Problem 8 • 2017 AMC 12B Problem 14 • 2020 AMC 12B Problem 9 • 2021 AMC 12B Spring Problem 6 • 2021 AMC 12A Fall Problem 9 • 2022 AMC 12A Problem 15 • 2025 AMC 12A Problem 20 • 2025 AMC 12B Problem 15
AIME
1983 AIME Problem 11 • 1984 AIME Problem 9 • 1985 AIME Problem 2 • 1985 AIME Problem 15 • 1992 AIME Problem 7 • 1999 AIME Problem 15 • 2000 AIME I Problem 8 • 2001 AIME I Problem 12 • 2001 AIME II Problem 12 • 2003 AIME I Problem 5 • 2003 AIME II Problem 5 • 2005 AIME II Problem 10 • 2008 AIME II Problem 3 • 2010 AIME I Problem 11 • 2012 AIME I Problem 8 • 2012 AIME II Problem 5 • 2015 AIME II Problem 9 • 2017 AIME I Problem 4 • 2022 AIME II Problem 3 • 2023 AIME I Problem 13 • 2023 AIME II Problem 14 • 2024 AIME I Problem 14