Continued fraction — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses continued fraction — 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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 8

1993 AMC 8 Problem 16

AMC 10

2009 AMC 10A Problem 3 · 2022 AMC 10A Problem 1

More number theory concepts

Chicken McNugget TheoremChinese Remainder TheoremdigitsDiophantine EquationdivisibilityEuler’s Totient Functionfactorfactor countingFermat’s Little Theoremgreatest common divisorleast common multipleLegendre’s Formulamodular arithmeticmodular exponentiationmultiplemultiplicative orderpalindromeparityperfect powerperfect squarepower of 2primeprime factorizationsum of factorstrailing zerostriangular numberunits digit