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.
combinatorics: pairs, permutations, and probability
algebra: logarithms and systems of equations
geometry and combinatorics: intersecting lines and overcounting
number theory: factors, squares, and sum of factors
geometry: cyclic quadrilaterals, areas, and equations
combinatorics: probability, logic, and expected value
number theory: remainders, modular arithmetic, and counting
geometry: rhombii, incircles, angle bisectors, and trigonometry
algebra and combinatorics: cubics, graphing, and Vieta’s theorem
algebra: sums, floor function, remainders, and estimation
combinatorics: counting, subsets, and recursions
geometry: trigonometry, cyclic quadrilaterals, and area methods
geometry: solids, rhombii, parallelepipeds, and volumes
combinatorics and number theory: counting, sequences, remainders, and bijections
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.