Arc — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Arc — a geometry 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
2008 AMC 8 Problem 18 • 2013 AMC 8 Problem 23 • 2013 AMC 8 Problem 25 • 2014 AMC 8 Problem 15 • 2014 AMC 8 Problem 25 • 2024 AMC 8 Problem 6 • 2026 AMC 8 Problem 11
AMC 10
2002 AMC 10A Problem 7 • 2006 AMC 10B Problem 6 • 2008 AMC 10A Problem 19 • 2011 AMC 10A Problem 20 • 2023 AMC 10B Problem 20
AMC 12
1951 AMC 12 Problem 46 • 1952 AMC 12 Problem 43 • 1954 AMC 12 Problem 13 • 1958 AMC 12 Problem 15 • 1960 AMC 12 Problem 35 • 1963 AMC 12 Problem 22 • 1964 AMC 12 Problem 36 • 1965 AMC 12 Problem 2 • 1968 AMC 12 Problem 11 • 1969 AMC 12 Problem 8 • 1971 AMC 12 Problem 5 • 1972 AMC 12 Problem 26 • 1972 AMC 12 Problem 35 • 1977 AMC 12 Problem 9 • 1981 AMC 12 Problem 27 • 1983 AMC 12 Problem 30 • 1985 AMC 12 Problem 2 • 1989 AMC 12 Problem 19 • 2000 AMC 12 Problem 24 • 2001 AMC 12 Problem 8 • 2002 AMC 12A Problem 7 • 2003 AMC 12B Problem 25 • 2007 AMC 12A Problem 8 • 2011 AMC 12B Problem 6 • 2025 AMC 12A Problem 10 • 2025 AMC 12B Problem 12