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 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 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
1957 AMC 12 Problem 5 • 1959 AMC 12 Problem 37 • 1959 AMC 12 Problem 45 • 1971 AMC 12 Problem 32 • 1974 AMC 12 Problem 20 • 1977 AMC 12 Problem 18 • 1977 AMC 12 Problem 24 • 1985 AMC 12 Problem 24 • 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
1987 AIME Problem 14 • 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