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

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.