Perfect square — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses perfect square — a number theory 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 8
1986 AMC 8 Problem 7 · 1988 AMC 8 Problem 11 · 1990 AMC 8 Problem 4 · 1993 AMC 8 Problem 24 · 2002 AMC 8 Problem 11 · 2006 AMC 8 Problem 11 · 2008 AMC 8 Problem 24 · 2009 AMC 8 Problem 17 · 2009 AMC 8 Problem 18 · 2016 AMC 8 Problem 7 · 2017 AMC 8 Problem 11 · 2022 AMC 8 Problem 12 · 2024 AMC 8 Problem 4
AMC 10
2000 AMC 10 Problem 12 · 2002 AMC 10A Problem 22 · 2002 AMC 10B Problem 16 · 2003 AMC 10B Problem 7 · 2004 AMC 10B Problem 6 · 2005 AMC 10A Problem 24 · 2005 AMC 10B Problem 24 · 2008 AMC 10B Problem 15 · 2010 AMC 10A Problem 25 · 2011 AMC 10A Problem 19 · 2014 AMC 10A Problem 8 · 2015 AMC 10B Problem 24 · 2020 AMC 10A Problem 11 · 2020 AMC 10A Problem 15 · 2020 AMC 10B Problem 7 · 2021 AMC 10B Spring Problem 8 · 2021 AMC 10B Fall Problem 10 · 2023 AMC 10A Problem 3 · 2023 AMC 10B Problem 9 · 2023 AMC 10B Problem 15 · 2024 AMC 10A Problem 15 · 2025 AMC 10A Problem 5 · 2025 AMC 10B Problem 2
AMC 12
2000 AMC 12 Problem 8 · 2002 AMC 12B Problem 12 · 2002 AMC 12B Problem 13 · 2003 AMC 12A Problem 23 · 2005 AMC 12B Problem 19 · 2007 AMC 12B Problem 18 · 2011 AMC 12B Problem 21 · 2013 AMC 12B Problem 9 · 2016 AMC 12A Problem 25 · 2020 AMC 12A Problem 8 · 2020 AMC 12B Problem 1 · 2020 AMC 12B Problem 6 · 2021 AMC 12A Fall Problem 1 · 2022 AMC 12A Problem 16 · 2023 AMC 12A Problem 3 · 2024 AMC 12A Problem 9
AIME
1999 AIME Problem 3 · 2000 AIME I Problem 6 · 2001 AIME II Problem 1 · 2003 AIME II Problem 10 · 2005 AIME I Problem 12 · 2006 AIME I Problem 13 · 2007 AIME I Problem 1 · 2008 AIME I Problem 7 · 2008 AIME II Problem 15 · 2010 AIME I Problem 1 · 2011 AIME I Problem 15 · 2011 AIME II Problem 15 · 2013 AIME II Problem 6 · 2018 AIME I Problem 1 · 2018 AIME II Problem 3 · 2018 AIME II Problem 7 · 2019 AIME I Problem 9 · 2019 AIME II Problem 4 · 2021 AIME II Problem 15 · 2023 AIME I Problem 4