Difference between revisions of "2018 AIME I Problems"
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==Problem 15== | ==Problem 15== | ||
| − | + | How many integers <math>n</math> leave a remainder of <math>\frac{n}{2}</math> when divided by a perfect square less than <math>100</math>? | |
[[2018 AIME I Problems/Problem 15 | Solution]] | [[2018 AIME I Problems/Problem 15 | Solution]] | ||
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{{AIME box|year=2018|n=I|before=[[2017 AIME II]]|after=[[2018 AIME II]]}} | {{AIME box|year=2018|n=I|before=[[2017 AIME II]]|after=[[2018 AIME II]]}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
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Revision as of 17:58, 6 March 2018
| 2018 AIME I (Answer Key) | AoPS Contest Collections • PDF | ||
|
Instructions
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| 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
Problem 2
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
How many integers 
leave a remainder of 
when divided by a perfect square less than 
?
| 2018 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by 2017 AIME II |
Followed by 2018 AIME II | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
