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Repeating decimal — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Repeating decimal — a arithmetic 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.

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AMC 8

1995 AMC 8 Problem 15 • 1998 AMC 8 Problem 5

AMC 10

2019 AMC 10A Problem 18 • 2021 AMC 10A Spring Problem 8 • 2022 AMC 10A Problem 17

AMC 12

1952 AMC 12 Problem 42 • 1960 AMC 12 Problem 8 • 1965 AMC 12 Problem 5 • 1966 AMC 12 Problem 39 • 1970 AMC 12 Problem 10 • 2002 AMC 12A Problem 20 • 2013 AMC 12A Problem 10 • 2014 AMC 12A Problem 23 • 2016 AMC 12B Problem 22 • 2019 AMC 12A Problem 11 • 2021 AMC 12A Spring Problem 5

AIME

1989 AIME Problem 3 • 1992 AIME Problem 5 • 2002 AIME I Problem 7 • 2006 AIME I Problem 6 • 2014 AIME II Problem 4 • 2022 AIME I Problem 13

More arithmetic concepts

clockdate and timedecimaldistance rate and timedistributive propertyestimationexponentfactorialfractionmoneynumber baseorder of operationspercentageplace valuerateratio and proportionrelative speedunit conversionwhole number operations