Difference between revisions of "2016 AMC 8 Problems"
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[[2016 AMC 8 Problems/Problem 10|Solution | [[2016 AMC 8 Problems/Problem 10|Solution | ||
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+ | ==Problem 11== | ||
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+ | Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is <math>132.</math> | ||
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+ | <math>\textbf{(A) }5\qquad\textbf{(B) }7\qquad\textbf{(C) }9\qquad\textbf{(D) }11\qquad \textbf{(E) }12</math> | ||
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+ | [[2016 AMC 8 Problems/Problem 11|Solution | ||
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{{MAA Notice}} | {{MAA Notice}} |
Revision as of 10:33, 23 November 2016
Contents
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 ?
Problem 7
Which of the following numbers is not a perfect square?
Problem 8
Find the value of the expression
Problem 9
What is the sum of the distinct prime integer divisors of ?
Problem 10
Suppose that means What is the value of if
Problem 11
Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.