Logical deduction — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Logical deduction — a logic 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
1985 AMC 8 Problem 25 • 1986 AMC 8 Problem 22 • 1987 AMC 8 Problem 17 • 1993 AMC 8 Problem 14 • 1993 AMC 8 Problem 23 • 1994 AMC 8 Problem 11 • 1996 AMC 8 Problem 14 • 1998 AMC 8 Problem 11 • 1999 AMC 8 Problem 6 • 2001 AMC 8 Problem 20 • 2003 AMC 8 Problem 17 • 2004 AMC 8 Problem 11 • 2004 AMC 8 Problem 13 • 2004 AMC 8 Problem 18 • 2007 AMC 8 Problem 9 • 2007 AMC 8 Problem 11 • 2011 AMC 8 Problem 21 • 2013 AMC 8 Problem 19 • 2014 AMC 8 Problem 23 • 2015 AMC 8 Problem 23 • 2017 AMC 8 Problem 8 • 2017 AMC 8 Problem 13 • 2019 AMC 8 Problem 12 • 2020 AMC 8 Problem 6 • 2023 AMC 8 Problem 8 • 2025 AMC 8 Problem 21 • 2026 AMC 8 Problem 10 • 2026 AMC 8 Problem 12
AMC 10
2000 AMC 10 Problem 13 • 2000 AMC 10 Problem 21 • 2001 AMC 10 Problem 13 • 2003 AMC 10A Problem 24 • 2004 AMC 10A Problem 6 • 2007 AMC 10B Problem 5 • 2010 AMC 10A Problem 15 • 2010 AMC 10B Problem 17 • 2011 AMC 10B Problem 8 • 2013 AMC 10A Problem 6 • 2015 AMC 10B Problem 5 • 2015 AMC 10B Problem 6 • 2016 AMC 10A Problem 13 • 2016 AMC 10B Problem 15 • 2017 AMC 10A Problem 6 • 2018 AMC 10A Problem 5 • 2021 AMC 10A Spring Problem 7 • 2021 AMC 10B Spring Problem 17 • 2021 AMC 10B Fall Problem 10 • 2022 AMC 10A Problem 12 • 2022 AMC 10B Problem 11 • 2023 AMC 10B Problem 18 • 2025 AMC 10A Problem 8
AMC 12
1951 AMC 12 Problem 14 • 1951 AMC 12 Problem 36 • 1957 AMC 12 Problem 21 • 1958 AMC 12 Problem 44 • 1959 AMC 12 Problem 6 • 1959 AMC 12 Problem 47 • 1960 AMC 12 Problem 10 • 1962 AMC 12 Problem 30 • 1963 AMC 12 Problem 26 • 1964 AMC 12 Problem 12 • 1964 AMC 12 Problem 17 • 1964 AMC 12 Problem 18 • 1965 AMC 12 Problem 17 • 1966 AMC 12 Problem 20 • 1967 AMC 12 Problem 13 • 1967 AMC 12 Problem 28 • 1967 AMC 12 Problem 38 • 1968 AMC 12 Problem 10 • 1974 AMC 12 Problem 13 • 1975 AMC 12 Problem 8 • 1975 AMC 12 Problem 14 • 1975 AMC 12 Problem 25 • 1976 AMC 12 Problem 11 • 1978 AMC 12 Problem 22 • 1979 AMC 12 Problem 17 • 1999 AMC 12 Problem 10 • 2001 AMC 12 Problem 6 • 2003 AMC 12A Problem 12 • 2010 AMC 12A Problem 12 • 2011 AMC 12A Problem 2 • 2015 AMC 12B Problem 4 • 2016 AMC 12A Problem 5 • 2016 AMC 12A Problem 10 • 2016 AMC 12B Problem 12 • 2017 AMC 12A Problem 3 • 2018 AMC 12A Problem 4 • 2021 AMC 12A Spring Problem 4 • 2022 AMC 12A Problem 9 • 2023 AMC 12B Problem 15 • 2023 AMC 12B Problem 18 • 2025 AMC 12A Problem 4