Vector — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Vector — 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 10
2010 AMC 10A Problem 7 • 2014 AMC 10A Problem 18 • 2016 AMC 10B Problem 20 • 2023 AMC 10B Problem 24 • 2024 AMC 10B Problem 11
AMC 12
1959 AMC 12 Problem 40 • 1961 AMC 12 Problem 36 • 1962 AMC 12 Problem 15 • 1963 AMC 12 Problem 38 • 1964 AMC 12 Problem 17 • 1967 AMC 12 Problem 37 • 1970 AMC 12 Problem 28 • 1975 AMC 12 Problem 28 • 1978 AMC 12 Problem 28 • 1978 AMC 12 Problem 29 • 1980 AMC 12 Problem 9 • 1982 AMC 12 Problem 18 • 1982 AMC 12 Problem 21 • 1985 AMC 12 Problem 17 • 2001 AMC 12 Problem 20 • 2018 AMC 12B Problem 23 • 2019 AMC 12B Problem 18 • 2019 AMC 12B Problem 24 • 2021 AMC 12A Fall Problem 13 • 2022 AMC 12B Problem 14 • 2024 AMC 12A Problem 7
AIME
1983 AIME Problem 14 • 1986 AIME Problem 14 • 1987 AIME Problem 9 • 1988 AIME Problem 7 • 1989 AIME Problem 12 • 1989 AIME Problem 15 • 1990 AIME Problem 7 • 1991 AIME Problem 12 • 1991 AIME Problem 15 • 1993 AIME Problem 2 • 1994 AIME Problem 8 • 1995 AIME Problem 12 • 2000 AIME II Problem 8 • 2001 AIME I Problem 12 • 2003 AIME II Problem 14 • 2009 AIME I Problem 4 • 2011 AIME I Problem 2 • 2011 AIME I Problem 13 • 2011 AIME II Problem 13 • 2013 AIME I Problem 7 • 2013 AIME II Problem 4 • 2019 AIME II Problem 13 • 2020 AIME I Problem 15 • 2022 AIME I Problem 5 • 2023 AIME I Problem 12 • 2023 AIME I Problem 13 • 2023 AIME II Problem 12 • 2025 AIME I Problem 2 • 2025 AIME I Problem 12 • 2026 AIME I Problem 14