Art of Problem Solving

2023 AIME I Problems: Difference between revisions

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{{AIME Problems|year=2023|n=I}}
{{AIME Problems|year=2023|n=I}}
==Problem 1==
==Problem 1==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 1|Solution]]
[[2023 AIME I Problems/Problem 1|Solution]]


==Problem 2==
==Problem 2==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 2|Solution]]
[[2023 AIME I Problems/Problem 2|Solution]]


==Problem 3==
==Problem 3==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 3|Solution]]
[[2023 AIME I Problems/Problem 3|Solution]]


==Problem 4==
==Problem 4==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 4|Solution]]
[[2023 AIME I Problems/Problem 4|Solution]]


==Problem 5==
==Problem 5==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 5|Solution]]
[[2023 AIME I Problems/Problem 5|Solution]]


==Problem 6==
==Problem 6==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 6|Solution]]
[[2023 AIME I Problems/Problem 6|Solution]]


==Problem 7==
==Problem 7==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 7|Solution]]
[[2023 AIME I Problems/Problem 7|Solution]]


==Problem 8==
==Problem 8==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 8|Solution]]
[[2023 AIME I Problems/Problem 8|Solution]]


==Problem 9==
==Problem 9==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 9|Solution]]
[[2023 AIME I Problems/Problem 9|Solution]]


==Problem 10==
==Problem 10==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 10|Solution]]
[[2023 AIME I Problems/Problem 10|Solution]]


==Problem 11==
==Problem 11==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 11|Solution]]
[[2023 AIME I Problems/Problem 11|Solution]]


==Problem 12==
==Problem 12==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 12|Solution]]
[[2023 AIME I Problems/Problem 12|Solution]]


==Problem 13==
==Problem 13==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 13|Solution]]
[[2023 AIME I Problems/Problem 13|Solution]]


==Problem 14==
==Problem 14==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 14|Solution]]
[[2023 AIME I Problems/Problem 14|Solution]]


==Problem 15==
==Problem 15==
These problems will not be available until the 2023 AIME I is released in February 2023.
These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.


[[2023 AIME I Problems/Problem 15|Solution]]
[[2023 AIME I Problems/Problem 15|Solution]]

Revision as of 00:19, 8 February 2023

2023 AIME I (Answer Key)
Printable version | AoPS Contest CollectionsPDF

Instructions

  1. This is a 15-question, 3-hour examination. All answers are integers ranging from $000$ to $999$, inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers.
  2. No aids other than scratch paper, rulers and compasses are permitted. In particular, graph paper, protractors, calculators and computers are not permitted.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Problem 1

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 2

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 3

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 4

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 5

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 6

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 7

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 8

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 9

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 10

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 11

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 12

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 13

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 14

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

Problem 15

These problems will not be available until the 2023 AIME I is released on February 8th, 2023, at 12:00 AM.

Solution

See also

2023 AIME I (ProblemsAnswer KeyResources)
Preceded by
2022 AIME II
Followed by
2023 AIME II
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America.