# 2023 AIME I Answer Key Released

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On February 7th, 2023, select middle school and high school students participated in this year’s AIME I Competition.

The problems can now be discussed! See below for the answer key for the 2023 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.

1
191
combinatorics: pairs, permutations, and probability
2
881
algebra: logarithms and systems of equations
3
607
geometry and combinatorics: intersecting lines and overcounting
4
12
number theory: factors, squares, and sum of factors
5
106
geometry: cyclic quadrilaterals, areas, and equations
6
51
combinatorics: probability, logic, and expected value
7
49
number theory: remainders, modular arithmetic, and counting
8
125
geometry: rhombii, incircles, angle bisectors, and trigonometry
9
738
algebra and combinatorics: cubics, graphing, and Vieta’s theorem
10
944
algebra: sums, floor function, remainders, and estimation
11
235
combinatorics: counting, subsets, and recursions
12
75
geometry: trigonometry, cyclic quadrilaterals, and area methods
13
125
geometry: solids, rhombii, parallelepipeds, and volumes
14
608
combinatorics and number theory: counting, sequences, remainders, and bijections
15
349
algebra and number theory: complex numbers, primes, and triangle inequality

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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