Chinese Remainder Theorem — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Chinese Remainder Theorem — 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 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
2010 AMC 10A Problem 24 • 2013 AMC 10B Problem 25 • 2016 AMC 10B Problem 8 • 2017 AMC 10B Problem 23 • 2020 AMC 10A Problem 24
AMC 12
1999 AMC 12 Problem 4 • 2010 AMC 12A Problem 23 • 2015 AMC 12A Problem 22 • 2017 AMC 12B Problem 25 • 2022 AMC 12B Problem 20
AIME
1993 AIME Problem 9 • 2002 AIME II Problem 7 • 2011 AIME II Problem 14 • 2012 AIME I Problem 10 • 2012 AIME II Problem 12 • 2013 AIME I Problem 11 • 2014 AIME I Problem 8 • 2017 AIME I Problem 14 • 2021 AIME II Problem 13 • 2023 AIME I Problem 7 • 2024 AIME II Problem 14 • 2025 AIME II Problem 13