Recursive counting — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Recursive counting — a combinatorics 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 10
AIME
1990 AIME Problem 9 • 2001 AIME I Problem 14 • 2002 AIME II Problem 12 • 2004 AIME I Problem 15 • 2005 AIME I Problem 13 • 2006 AIME I Problem 11 • 2008 AIME I Problem 11 • 2015 AIME II Problem 10 • 2015 AIME II Problem 12 • 2016 AIME II Problem 12 • 2018 AIME I Problem 14 • 2018 AIME II Problem 11 • 2019 AIME II Problem 12 • 2021 AIME II Problem 8 • 2025 AIME I Problem 15 • 2026 AIME I Problem 15