Symmetry (algebra) — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Symmetry (algebra) — 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 10
2006 AMC 10B Problem 14 • 2007 AMC 10A Problem 20 • 2008 AMC 10B Problem 5 • 2015 AMC 10A Problem 16 • 2021 AMC 10B Spring Problem 15 • 2021 AMC 10A Fall Problem 16
AMC 12
1958 AMC 12 Problem 13 • 1958 AMC 12 Problem 30 • 1958 AMC 12 Problem 41 • 1963 AMC 12 Problem 40 • 1966 AMC 12 Problem 10 • 1969 AMC 12 Problem 7 • 1970 AMC 12 Problem 33 • 1976 AMC 12 Problem 30 • 1978 AMC 12 Problem 20 • 1981 AMC 12 Problem 17 • 1982 AMC 12 Problem 12 • 1982 AMC 12 Problem 27 • 1984 AMC 12 Problem 16 • 2000 AMC 12 Problem 20 • 2002 AMC 12B Problem 19 • 2005 AMC 12B Problem 23 • 2007 AMC 12A Problem 7 • 2010 AMC 12B Problem 23 • 2014 AMC 12B Problem 16 • 2019 AMC 12B Problem 8 • 2025 AMC 12A Problem 19
AIME
1983 AIME Problem 5 • 1988 AIME Problem 12 • 1990 AIME Problem 15 • 1991 AIME Problem 1 • 1995 AIME Problem 7 • 1996 AIME Problem 5 • 2000 AIME I Problem 7 • 2000 AIME II Problem 7 • 2001 AIME I Problem 9 • 2014 AIME I Problem 14 • 2015 AIME II Problem 14 • 2021 AIME II Problem 7 • 2023 AIME II Problem 4 • 2024 AIME II Problem 11