2024 AIME I Problems
2024 AIME I (Answer Key) | AoPS Contest Collections • PDF | ||
Instructions
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Contents
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
The vertices of a regular octagon are coloured either red or blue with equal probability. The probability that the octagon can be rotated in such a way that all blue vertices end up at points that were originally red is , where
and
are relatively prime positive integers. What is
?
Problem 12
Define and
. Find the number of intersections of the graphs of
Problem 13
Problem 14
Problem 15
See also
2024 AIME I (Problems • Answer Key • Resources) | ||
Preceded by 2023 AIME II |
Followed by 2025 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.