Pairing and grouping — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Pairing and grouping — 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).
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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
1985 AMC 8 Problem 2 • 1989 AMC 8 Problem 1 • 1990 AMC 8 Problem 16 • 1992 AMC 8 Problem 1 • 1993 AMC 8 Problem 19 • 1996 AMC 8 Problem 16 • 1997 AMC 8 Problem 25 • 2013 AMC 8 Problem 3 • 2016 AMC 8 Problem 8 • 2018 AMC 8 Problem 5 • 2025 AMC 8 Problem 15 • 2025 AMC 8 Problem 16 • 2026 AMC 8 Problem 1
AMC 10
2003 AMC 10A Problem 1 • 2003 AMC 10B Problem 4 • 2005 AMC 10B Problem 25 • 2006 AMC 10B Problem 1 • 2009 AMC 10B Problem 21 • 2013 AMC 10B Problem 22 • 2014 AMC 10B Problem 6 • 2018 AMC 10A Problem 18 • 2020 AMC 10A Problem 8 • 2020 AMC 10A Problem 21 • 2021 AMC 10B Fall Problem 1 • 2022 AMC 10A Problem 14 • 2022 AMC 10B Problem 14 • 2023 AMC 10B Problem 15 • 2024 AMC 10B Problem 8 • 2025 AMC 10A Problem 21
AMC 12
1959 AMC 12 Problem 49 • 1963 AMC 12 Problem 37 • 1968 AMC 12 Problem 27 • 1971 AMC 12 Problem 1 • 1973 AMC 12 Problem 26 • 1975 AMC 12 Problem 6 • 1984 AMC 12 Problem 16 • 1999 AMC 12 Problem 1 • 2003 AMC 12A Problem 1 • 2006 AMC 12B Problem 1 • 2009 AMC 12A Problem 15 • 2019 AMC 12B Problem 8