Yesterday, selected middle school and high school students participated in this year’s AIME I Competition (including some students proctored by Areteem online).
The problems can now be discussed! See below for the answer key for the 2021 AIME I questions as well as the concepts tested on each problem. All answers for the AIME are in the form of 3-digit integers.
combinatorics: probability and independence
geometry: areas, rectangles, and similar triangles
number theory: counting, factoring, and cases
combinatorics: counting, cases, and overcounting
algebra: arithmetic sequences, factoring, and equations
geometry: 3D space, points, distances, and equations
algebra and number theory: trigonometric equations and mods
algebra: absolute values, symmetry, and cases
geometry: trapezoids, similar triangles, and Ptolemy’s theorem
number theory: recursive sequences, GCDs, and Euclidean Algorithm
geometry: cyclic quadrilaterals, similar quadrilaterals, and areas
combinatorics: expected values, states, and conditional expectation
geometry: circles, radical axis, and triangles
number theory: primes, divisors, and multiplicative orders
algebra: equations for conics and factoring
Want to practice more AMC and AIME Problems? Check out the Zoom International Math League (ZIML) practice page here for practice resources, including Mock Exams and old Exams.
The AIME I exam is administered by the Mathematical Association of America (MAA). Students are invited to take the AIME based on their scores for the AMC 10 and 12 exams. For general information about the AMC 10 and 12, click here.
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