Power of a point — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses power of a point — 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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).
AMC 10
AMC 12
2000 AMC 12 Problem 24 · 2004 AMC 12A Problem 18 · 2006 AMC 12A Problem 17 · 2013 AMC 12A Problem 19 · 2017 AMC 12A Problem 24 · 2020 AMC 12B Problem 10 · 2021 AMC 12B Fall Problem 24
AIME
2002 AIME I Problem 13 · 2005 AIME I Problem 15 · 2010 AIME II Problem 14 · 2016 AIME I Problem 15 · 2016 AIME II Problem 10 · 2019 AIME I Problem 13 · 2019 AIME I Problem 15 · 2019 AIME II Problem 15 · 2021 AIME I Problem 13 · 2022 AIME I Problem 11 · 2023 AIME II Problem 9 · 2023 AIME II Problem 12 · 2024 AIME I Problem 10 · 2026 AIME II Problem 10