Summation — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses summation — 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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).
AMC 8
1996 AMC 8 Problem 16 · 1998 AMC 8 Problem 12 · 2013 AMC 8 Problem 3 · 2015 AMC 8 Problem 9 · 2020 AMC 8 Problem 16 · 2025 AMC 8 Problem 20
AMC 10
2002 AMC 10B Problem 19 · 2003 AMC 10A Problem 1 · 2003 AMC 10A Problem 23 · 2003 AMC 10B Problem 3 · 2003 AMC 10B Problem 7 · 2003 AMC 10B Problem 22 · 2004 AMC 10A Problem 7 · 2006 AMC 10A Problem 14 · 2008 AMC 10B Problem 13 · 2009 AMC 10A Problem 15 · 2011 AMC 10A Problem 4 · 2012 AMC 10A Problem 22 · 2014 AMC 10A Problem 24 · 2018 AMC 10B Problem 8 · 2019 AMC 10A Problem 23 · 2020 AMC 10A Problem 8 · 2021 AMC 10A Spring Problem 4 · 2021 AMC 10B Fall Problem 22 · 2022 AMC 10B Problem 15 · 2023 AMC 10A Problem 15 · 2023 AMC 10B Problem 5 · 2024 AMC 10B Problem 5 · 2024 AMC 10B Problem 23 · 2025 AMC 10B Problem 17
AMC 12
1999 AMC 12 Problem 1 · 2002 AMC 12A Problem 21 · 2003 AMC 12A Problem 1 · 2004 AMC 12A Problem 17 · 2006 AMC 12A Problem 12 · 2007 AMC 12A Problem 24 · 2008 AMC 12B Problem 12 · 2008 AMC 12B Problem 24 · 2009 AMC 12A Problem 11 · 2010 AMC 12A Problem 2 · 2010 AMC 12A Problem 22 · 2010 AMC 12B Problem 10 · 2014 AMC 12A Problem 15 · 2018 AMC 12A Problem 19 · 2018 AMC 12B Problem 9 · 2020 AMC 12A Problem 22 · 2020 AMC 12A Problem 25 · 2021 AMC 12A Spring Problem 14 · 2024 AMC 12B Problem 18 · 2025 AMC 12B Problem 2
AIME
1998 AIME Problem 5 · 2000 AIME I Problem 10 · 2002 AIME II Problem 4 · 2003 AIME I Problem 2 · 2006 AIME I Problem 4 · 2006 AIME I Problem 13 · 2006 AIME II Problem 11 · 2006 AIME II Problem 14 · 2007 AIME I Problem 7 · 2008 AIME II Problem 1 · 2009 AIME I Problem 8 · 2011 AIME II Problem 5 · 2013 AIME II Problem 3 · 2013 AIME II Problem 14 · 2015 AIME I Problem 1 · 2022 AIME II Problem 10 · 2023 AIME I Problem 10 · 2026 AIME II Problem 7