2022 AIME I Problems
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| 2022 AIME I (Answer Key) | AoPS Contest Collections • PDF | ||
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Instructions
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to 
, inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers.Contents
Problem 1
Quadratic polynomials 
and 
have leading coefficients 
and 
respectively. The graphs of both polynomials pass through the two points 
and 
Find 
Problem 2
Find the three-digit positive integer 
whose representation in base nine is 
where 
and 
are (not necessarily distinct) digits.
Problem 3
In isosceles trapezoid 
parallel bases 
and 
have lengths 
and 
respectively, and 
The angle bisectors of 
and 
meet at 
and the angle bisectors of 
and 
meet at 
Find 
Problem 4
![\[\textbf{Please do not post this problem until the contest is released.}\]](http://latex.artofproblemsolving.com/6/8/b/68b95cde68b1140211f4700c09dba3f89cc56b5a.png)
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
See also
| 2022 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by 2021 AIME II |
Followed by 2022 AIME II | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
- American Invitational Mathematics Examination
- AIME Problems and Solutions
- Mathematics competition resources
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
