Difference between revisions of "2016 AMC 8 Problems"
Line 34: | Line 34: | ||
[[2016 AMC 8 Problems/Problem 4|Solution | [[2016 AMC 8 Problems/Problem 4|Solution | ||
+ | ]] | ||
+ | |||
+ | ==Problem 5== | ||
+ | |||
+ | The number <math>N</math> is a two-digit number. | ||
+ | |||
+ | • When <math>N</math> is divided by <math>9</math>, the remainder is <math>1</math>. | ||
+ | |||
+ | • When <math>N</math> is divided by <math>10</math>, the remainder is <math>3</math>. | ||
+ | |||
+ | What is the remainder when <math>N</math> is divided by <math>11</math>? | ||
+ | |||
+ | |||
+ | <math>\textbf{(A) }0\qquad\textbf{(B) }2\qquad\textbf{(C) }4\qquad\textbf{(D) }5\qquad \textbf{(E) }7</math> | ||
+ | |||
+ | [[2016 AMC 8 Problems/Problem 5|Solution | ||
]] | ]] | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 11:21, 23 November 2016
Contents
[hide]Problem 1
The longest professional tennis match ever played lasted a total of hours and
minutes. How many minutes was this?
Problem 2
In rectangle ,
and
. Point
is the midpoint of
. What is the area of
?
Problem 3
Four students take an exam. Three of their scores are and
. If the average of their four scores is
, then what is the remaining score?
Problem 4
When Cheenu was a boy he could run miles in
hours and
minutes. As an old man he can now walk
miles in
hours. How many minutes longer does it take for him to walk a mile now compared to when he was a boy?
Problem 5
The number is a two-digit number.
• When is divided by
, the remainder is
.
• When is divided by
, the remainder is
.
What is the remainder when is divided by
?
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.