Telescoping — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses telescoping — 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
1985 AMC 8 Problem 9 · 1992 AMC 8 Problem 25 · 1997 AMC 8 Problem 19 · 2006 AMC 8 Problem 9 · 2018 AMC 8 Problem 2 · 2019 AMC 8 Problem 17 · 2022 AMC 8 Problem 8
AMC 10
2002 AMC 10B Problem 23 · 2005 AMC 10B Problem 17 · 2008 AMC 10A Problem 5 · 2010 AMC 10A Problem 23 · 2021 AMC 10A Spring Problem 10 · 2022 AMC 10B Problem 9 · 2025 AMC 10B Problem 15
AMC 12
2004 AMC 12A Problem 25 · 2005 AMC 12B Problem 13 · 2008 AMC 12A Problem 4 · 2010 AMC 12A Problem 19 · 2012 AMC 12B Problem 25 · 2014 AMC 12A Problem 21 · 2014 AMC 12B Problem 23 · 2016 AMC 12B Problem 21 · 2018 AMC 12B Problem 7 · 2018 AMC 12B Problem 18 · 2019 AMC 12A Problem 23 · 2019 AMC 12B Problem 22 · 2021 AMC 12A Spring Problem 9 · 2025 AMC 12B Problem 7
AIME
1997 AIME Problem 11 · 1999 AIME Problem 11 · 2000 AIME II Problem 14 · 2000 AIME II Problem 15 · 2002 AIME I Problem 4 · 2002 AIME II Problem 6 · 2003 AIME II Problem 15 · 2005 AIME II Problem 7 · 2006 AIME I Problem 15 · 2008 AIME II Problem 6 · 2008 AIME II Problem 8 · 2009 AIME I Problem 7 · 2014 AIME II Problem 7 · 2015 AIME II Problem 13 · 2025 AIME II Problem 4