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AMC area & similarity problems

Area decomposition, area ratios, similar figures, and how length, area and volume scale.

258 problems in the archive use these ideas — 145 from the AMC 10 and 113 from the AMC 12.

Picks a problem you have not seen, at about the difficulty you are handling.

60 most recent problems

Newest contests first. Every problem opens with its answer choices, hints and a worked solution.

Use Start area & similarity practice above to keep going through the remaining 198, or browse them by contest in the AMC 12 and AMC 10 archives.

Back to all geometry problems.