algebra
Binomial theorem — AMC & AIME Problems
42 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.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: Intro to Binomial Theorem, Pascal's Triangle and Binomial Coefficients.
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 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
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