Yesterday, select 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 2022 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

116

algebra: quadratics, equations, and logic

2

227

number theory: bases and digits

3

242

geometry: trapezoids, angle bisectors, and similar triangles

4

834

algebra and number theory: complex numbers, polar form, and modular arithmetic

5

550

algebra and geometry: motion, vectors, equations, and relative speeds

6

228

algebra and combinatorics: sequences, counting, and careful thinking

7

289

algebra and number theory: cases, substitution, and minimums

8

378

geometry: triangles, circles, and tangents

9

247

combinatorics: counting, careful thinking, and permutations

10

756

solid geometry: spheres, cross-sections, and distance formula

11

150

geometry: parallelograms, circles, and power of a point

12

245

combinatorics: sets, counting, sums, and combinatorial identities

13

392

number theory and combinatorics: repeating decimals and counting multiples

14

459

geometry and number theory: triangles, polynomials, and Pythagorean triples

15

33

algebra: geometric interpretations and trigonometric substitutions

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.