Binomial theorem — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Binomial theorem — a algebra 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 12
1950 AMC 12 Problem 16 • 1954 AMC 12 Problem 10 • 1960 AMC 12 Problem 20 • 1961 AMC 12 Problem 5 • 1961 AMC 12 Problem 7 • 1962 AMC 12 Problem 12 • 1963 AMC 12 Problem 9 • 1964 AMC 12 Problem 20 • 1969 AMC 12 Problem 16 • 1971 AMC 12 Problem 13 • 1974 AMC 12 Problem 3 • 1975 AMC 12 Problem 5 • 1975 AMC 12 Problem 10 • 1975 AMC 12 Problem 29 • 1980 AMC 12 Problem 17 • 1986 AMC 12 Problem 23 • 1989 AMC 12 Problem 29 • 2006 AMC 12A Problem 23 • 2006 AMC 12A Problem 24 • 2008 AMC 12A Problem 23 • 2021 AMC 12A Spring Problem 15 • 2021 AMC 12A Fall Problem 12 • 2023 AMC 12A Problem 25 • 2025 AMC 12A Problem 23
AIME
1983 AIME Problem 6 • 1983 AIME Problem 13 • 1986 AIME Problem 11 • 1991 AIME Problem 3 • 1993 AIME Problem 5 • 1996 AIME Problem 3 • 1998 AIME Problem 13 • 2000 AIME I Problem 3 • 2000 AIME II Problem 7 • 2001 AIME I Problem 3 • 2002 AIME I Problem 7 • 2005 AIME I Problem 6 • 2007 AIME I Problem 3 • 2007 AIME II Problem 10 • 2018 AIME I Problem 11 • 2026 AIME I Problem 13