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2016年-AMC8-真题与答案-Problemsamp;-Solutions.pdf
2016 AMC 8 Problems
Problem 1
The longest professional tennis match ever played lasted a total of hours
and minutes. How many minutes was this?
Solution
Problem 2
In rectangle , and . Point is the midpoint of .
What is the area of ?
Solution
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?
Solution
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 travel a mile now compared to when he was a boy?
Solution
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 ?
1 / 19
Solution
Problem 6
The following bar graph represents the length (in letters) of the names of 19
people. What is the median length of these
names?
Solution
Problem 7
Which of the following numbers is not a perfect square?
Solution
Problem 8
2 / 19
Find the value of the expression
Solution
Problem 9
What is the sum of the distinct prime integer divisors of ?
Solution
Problem 10
Suppose that means What is the value of if
Solution
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
Solution
Problem 12
Jefferson Middle School has the same number of boys and girls. Three-fourths of
the girls and two-thirds of the boys went on a field trip. What fraction of the
students were girls?
Solution
Problem 13
Two different numbers are randomly selected from the set
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