Place value — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Place value — 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).
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 1 • 1987 AMC 8 Problem 8 • 1988 AMC 8 Problem 8 • 1988 AMC 8 Problem 12 • 1989 AMC 8 Problem 2 • 1989 AMC 8 Problem 3 • 1989 AMC 8 Problem 13 • 1989 AMC 8 Problem 14 • 1990 AMC 8 Problem 1 • 1990 AMC 8 Problem 2 • 1991 AMC 8 Problem 1 • 1991 AMC 8 Problem 3 • 1991 AMC 8 Problem 20 • 1993 AMC 8 Problem 4 • 1993 AMC 8 Problem 20 • 1994 AMC 8 Problem 23 • 1997 AMC 8 Problem 1 • 1997 AMC 8 Problem 3 • 1997 AMC 8 Problem 6 • 1998 AMC 8 Problem 5 • 2001 AMC 8 Problem 4 • 2005 AMC 8 Problem 6 • 2006 AMC 8 Problem 24 • 2008 AMC 8 Problem 2 • 2009 AMC 8 Problem 24 • 2010 AMC 8 Problem 22 • 2012 AMC 8 Problem 16 • 2013 AMC 8 Problem 13 • 2016 AMC 8 Problem 11 • 2017 AMC 8 Problem 7 • 2024 AMC 8 Problem 15 • 2025 AMC 8 Problem 2
AMC 10
2001 AMC 10 Problem 7 • 2002 AMC 10A Problem 15 • 2002 AMC 10B Problem 3 • 2003 AMC 10A Problem 11 • 2004 AMC 10B Problem 13 • 2005 AMC 10A Problem 16 • 2005 AMC 10B Problem 20 • 2007 AMC 10A Problem 22 • 2008 AMC 10B Problem 12 • 2016 AMC 10A Problem 6 • 2020 AMC 10B Problem 12 • 2021 AMC 10A Spring Problem 3 • 2021 AMC 10B Fall Problem 1 • 2025 AMC 10B Problem 4 • 2025 AMC 10B Problem 8
AMC 12
1950 AMC 12 Problem 7 • 1951 AMC 12 Problem 19 • 1952 AMC 12 Problem 42 • 1953 AMC 12 Problem 24 • 1954 AMC 12 Problem 34 • 1956 AMC 12 Problem 31 • 1957 AMC 12 Problem 19 • 1960 AMC 12 Problem 16 • 1961 AMC 12 Problem 17 • 1962 AMC 12 Problem 22 • 1965 AMC 12 Problem 15 • 1967 AMC 12 Problem 1 • 1967 AMC 12 Problem 16 • 1968 AMC 12 Problem 33 • 1969 AMC 12 Problem 3 • 1970 AMC 12 Problem 33 • 1971 AMC 12 Problem 1 • 1973 AMC 12 Problem 6 • 1975 AMC 12 Problem 10 • 1976 AMC 12 Problem 5 • 1979 AMC 12 Problem 5 • 1983 AMC 12 Problem 16 • 1985 AMC 12 Problem 29 • 1993 AMC 12 Problem 7 • 1996 AMC 12 Problem 1 • 1997 AMC 12 Problem 29 • 1998 AMC 12 Problem 3 • 2001 AMC 12 Problem 2 • 2002 AMC 12B Problem 1 • 2002 AMC 12B Problem 15 • 2003 AMC 12A Problem 5 • 2004 AMC 12B Problem 15 • 2005 AMC 12B Problem 15 • 2007 AMC 12A Problem 11 • 2007 AMC 12B Problem 18 • 2008 AMC 12B Problem 6 • 2014 AMC 12A Problem 6 • 2014 AMC 12A Problem 15 • 2014 AMC 12B Problem 8 • 2014 AMC 12B Problem 10 • 2021 AMC 12A Spring Problem 3 • 2021 AMC 12B Fall Problem 1 • 2025 AMC 12B Problem 6
AIME
1986 AIME Problem 7 • 1986 AIME Problem 10 • 1987 AIME Problem 1 • 1997 AIME Problem 3 • 2002 AIME II Problem 1 • 2004 AIME I Problem 1 • 2006 AIME I Problem 3 • 2015 AIME I Problem 8 • 2016 AIME I Problem 8 • 2017 AIME I Problem 5 • 2018 AIME I Problem 2 • 2019 AIME I Problem 1 • 2021 AIME II Problem 1 • 2024 AIME II Problem 3