2011 AMC 8 Problems
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
Problem 1
Margie bought apples at a cost of
cents per apple. She paid with a 5-dollar bill. How much change did Margie recieve?
Problem 2
Karl's rectangular vegetable garden is feet by
feet, and Makenna's is
feet by
feet. Whose garden is larger in area?
Problem 3
Problem 4
Here is a list of the numbers of fish that Tyler caught in nine outings last summer: Which statement about the mean, median, and mode is true?
Problem 5
What time was it minutes after midnight on January 1, 2011?
Problem 6
In a town of 351 adults, every adult owns a car, motorcycle, or both. If 331 adults own cars and 45 adults own motorcycles, how many of the car owners do not own a motorcycle?
Problem 7
Problem 8
Bag A has three chips labeled 1, 3, and 5. Bag B has three chips labeled 2, 4, and 6. If one chip is drawn from each bag, how many different values are possible for the sum of the two numbers on the chips?
Problem 9
Problem 10
The taxi fare in Gotham City is $2.40 for the first mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10?
Problem 11
Problem 12
Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side. What is the probability that Angie and Carlos are seated opposite each other?
Problem 13
Problem 14
There are students at Colfax Middle School, where the ratio of boys to girls is
. There are
students at Winthrop Middle School, where the ratio of boys to girls is
. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?
Problem 15
How many digits are in the product ?
Problem 16
Let be the area of the triangle with sides of length
, and
. Let
be the area of the triangle with sides of length
and
. What is the relationship between
and
?
Problem 17
Let ,
,
, and
be whole numbers. If
, then what does
equal?
Problem 18
A fair 6-sided die is rolled twice. What is the probability that the first number that comes up is greater than or equal to the second number?
Problem 19
How many rectangles are in this figure?
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
A circle with radius is inscribed in a square and circumscribed about another square as shown. Which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?