This years AIME I was February 1st, 2024. Middle school and high school students who qualified through the AMC 10 and AMC 12 were able to compete. Congrats to everyone who participated!
The problems can now be discussed! See below for the answer key for the 2024 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
204
algebra: motion, system of equations, and quadratics
2
025
algebra: logarithms and change of base
3
809
games: winning and losing positions, patterns, and modular arithmetic
4
116
combinatorics: subsets, conditional probability, and Bayes’ theorem
5
104
geometry: cyclic quadrilaterals, similar triangles, and equations
6
294
combinatorics: counting, paths, bijections, and stars and bars
7
540
algebra: complex numbers, inequalities, and trigonometry
8
197
geometry: inscribed circles, trigonometry, patterns, and equations
9
480
algebra and geometry: hyperbolas, rhombi, and inequalities
10
113
geometry: circles, similar triangles, and Stewart’s theorem
11
371
combinatorics: counting, probability, symmetry, cases, and careful thinking
12
385*
algebra: absolute values, trigonometry, graphing, and cases
13
110
number theory: modular arithmetic, multiplicative order, and binomial theorem
14
104
geometry: tetrahedra, inscribed polyhedra, volumes, surface areas, and circumradii of polyhedra
15
721
algebra and geometry: surface area and volume, circumradii of boxes, Vieta’s formulas, and inequalities
Note on Question 12: As of 2/2/2024, 384 is the answer in the official MAA portal. The correct answer should be 385. We will update this post once we hear an official update from the MAA.
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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