Induction — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses induction — a problem-solving techniques 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 10

2014 AMC 10A Problem 20 · 2022 AMC 10B Problem 9

More problem-solving techniques concepts

bounding to limit casescaseworkextremal argumentinvariantoptimizationpairing and groupingpattern recognitionprocess simulationsmall casessymmetrysystematic listingwork backwards