Difference between revisions of "2017 AIME I Problems"
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==Problem 1== | ==Problem 1== | ||
| + | Fifteen distinct points are designated on <math>\triangle ABC</math>: the 3 vertices <math>A</math>, <math>B</math>, and <math>C</math>; <math>3</math> other points on side <math>\overline{AB}</math>; <math>4</math> other points on side <math>\overline{BC}</math>; and <math>5</math> other points on side <math>\overline{CA}</math>. Find the number of triangles with positive area whose vertices are among these <math>15</math> points. | ||
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[[2017 AIME I Problems/Problem 1 | Solution]] | [[2017 AIME I Problems/Problem 1 | Solution]] | ||
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==Problem 2== | ==Problem 2== | ||
Revision as of 14:29, 8 March 2017
| 2017 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
Fifteen distinct points are designated on 
: the 3 vertices 
, 
, and 
; 
other points on side 
; 
other points on side 
; and 
other points on side 
. Find the number of triangles with positive area whose vertices are among these 
points.
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
| 2017 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by 2016 AIME II |
Followed by 2017 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. 
