2011 AMC 8 真题与答案解析

2011 AMC 8 真题

答案详细解析请参考文末

Problem 1

Margie bought 2011 AMC 8 Problems apples at a cost of 2011 AMC 8 Problems cents per apple. She paid with a 5-dollar bill. How much change did Margie recieve?

2011 AMC 8 Problems

 

Problem 2

Karl's rectangular vegetable garden is 2011 AMC 8 Problems feet by 2011 AMC 8 Problems feet, and Makenna's is 2011 AMC 8 Problems feet by 2011 AMC 8 Problems feet. Whose garden is larger in area?

2011 AMC 8 Problems

2011 AMC 8 Problems

2011 AMC 8 Problems

2011 AMC 8 Problems

2011 AMC 8 Problems

 

 

Problem 3

Extend the square pattern of 8 black and 17 white square tiles by attaching a border of black tiles around the square. What is the ratio of black tiles to white tiles in the extended pattern?
2011 AMC 8 Problems

2011 AMC 8 Problems

 

Problem 4

Here is a list of the numbers of fish that Tyler caught in nine outings last summer: 2011 AMC 8 Problems Which statement about the mean, median, and mode is true?

2011 AMC 8 Problems

 

Problem 5

What time was it 2011 AMC 8 Problems minutes after midnight on January 1, 2011?

2011 AMC 8 Problems

2011 AMC 8 Problems

2011 AMC 8 Problems

2011 AMC 8 Problems

2011 AMC 8 Problems

 

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?

2011 AMC 8 Problems

 

Problem 7

Each of the following four large congruent squares is subdivided into combinations of congruent triangles or rectangles and is partially bolded. What percent of the total area is partially bolded?

2011 AMC 8 Problems

2011 AMC 8 Problems

 

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?

2011 AMC 8 Problems

 

Problem 9

Carmen takes a long bike ride on a hilly highway. The graph indicates the miles traveled during the time of her ride. What is Carmen's average speed for her entire ride in miles per hour? 2011 AMC 8 Problems

2011 AMC 8 Problems

 

Problem 10

The taxi fare in Gotham City is $2.40 for the first 2011 AMC 8 Problems 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?

2011 AMC 8 Problems

 

Problem 11

The graph shows the number of minutes studied by both Asha (black bar) and Sasha (grey bar) in one week. On the average, how many more minutes per day did Sasha study than Asha? 2011 AMC 8 Problems

2011 AMC 8 Problems

 

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?

2011 AMC 8 Problems

 

Problem 13

Two congruent squares, 2011 AMC 8 Problems and 2011 AMC 8 Problems, have side length 2011 AMC 8 Problems. They overlap to form the 2011 AMC 8 Problems by 2011 AMC 8 Problems rectangle 2011 AMC 8 Problems shown. What percent of the area of rectangle 2011 AMC 8 Problems is shaded? 2011 AMC 8 Problems

2011 AMC 8 Problems

 

Problem 14

There are 2011 AMC 8 Problems students at Colfax Middle School, where the ratio of boys to girls is 2011 AMC 8 Problems. There are 2011 AMC 8 Problems students at Winthrop Middle School, where the ratio of boys to girls is 2011 AMC 8 Problems. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?

2011 AMC 8 Problems

 

Problem 15

How many digits are in the product 2011 AMC 8 Problems?

2011 AMC 8 Problems

 

Problem 16

Let 2011 AMC 8 Problems be the area of the triangle with sides of length 2011 AMC 8 Problems, and 2011 AMC 8 Problems. Let 2011 AMC 8 Problems be the area of the triangle with sides of length 2011 AMC 8 Problems and 2011 AMC 8 Problems. What is the relationship between 2011 AMC 8 Problems and 2011 AMC 8 Problems?

2011 AMC 8 Problems

 

Problem 17

Let 2011 AMC 8 Problems, 2011 AMC 8 Problems, 2011 AMC 8 Problems, and 2011 AMC 8 Problems be whole numbers. If 2011 AMC 8 Problems, then what does 2011 AMC 8 Problems equal?

2011 AMC 8 Problems

 

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?

2011 AMC 8 Problems

 

Problem 19

How many rectangles are in this figure?

2011 AMC 8 Problems

2011 AMC 8 Problems

 

Problem 20

Quadrilateral 2011 AMC 8 Problems is a trapezoid, 2011 AMC 8 Problems, 2011 AMC 8 Problems, 2011 AMC 8 Problems, and the altitude is 2011 AMC 8 Problems. What is the area of the trapezoid?

2011 AMC 8 Problems

2011 AMC 8 Problems

 

Problem 21

Students guess that Norb's age is 2011 AMC 8 Problems, and 2011 AMC 8 Problems. Norb says, "At least half of you guessed too low, two of you are off by one, and my age is a prime number." How old is Norb?

2011 AMC 8 Problems

 

Problem 22

What is the tens digit of 2011 AMC 8 Problems?

2011 AMC 8 Problems

 

Problem 23

How many 4-digit positive integers have four different digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit?

2011 AMC 8 Problems

 

Problem 24

In how many ways can 10001 be written as the sum of two primes?

2011 AMC 8 Problems

 

Problem 25

A circle with radius 2011 AMC 8 Problems 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?

2011 AMC 8 Problems

2011 AMC 8 Problems

 

 

 

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