Difference between revisions of "2025 AIME II Problems"
(→Problem 1) |
(→Problem 2) |
||
| Line 8: | Line 8: | ||
== Problem 2 == | == Problem 2 == | ||
| − | + | Find the sum of all positive integers <math>n</math> such that <math>n + 2</math> divides the product <math>3(n + 3)(n^2 + 9)</math>. | |
| − | |||
[[2025 AIME II Problems/Problem 2|Solution]] | [[2025 AIME II Problems/Problem 2|Solution]] | ||
Revision as of 20:38, 13 February 2025
| 2025 AIME II (Answer Key) | AoPS Contest Collections • PDF | ||
|
Instructions
| ||
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
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
Six points 
and 
lie in a straight line in that order. Suppose that 
is a point not on the line and that 
and 
Find the area of 
Problem 2
Find the sum of all positive integers 
such that 
divides the product 
.
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
See also
| 2025 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by 2025 AIME I |
Followed by 2026 AIME I | |
| 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. 
