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AMC 8 2011
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Question 1

Margie bought apples at a cost of cents per apple. She paid with a 5-dollar bill. How much change did Margie receive?


Solution

  
  2020-07-09 06:39:19

Question 2

Karl's rectangular vegetable garden is feet by feet, and Makenna's is feet by feet. Which of the following statements are true?


Solution

  
  2020-07-09 06:39:19

Question 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?

Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 5

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


Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 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?

Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 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?

Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 13

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

Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 15

How many digits are in the product ?


Solution

  
  2020-07-09 06:39:19

Question 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 ?


Solution

  
  2020-07-09 06:39:19

Question 17

Let , , , and be whole numbers. If , then what does equal?


Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 19

How many rectangles are in this figure?


Solution

  
  2020-07-09 06:39:19

Question 20

Quadrilateral is a trapezoid, , , , and the altitude is . What is the area of the trapezoid?


Solution

  
  2020-07-09 06:39:19

Question 21

Students guess that Norb's age is , and . 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?


Solution

E is incorrect because 48 is not prime. D is incorrect because only the student who guessed 44 was off by one. A and B are both incorrect because less than half the students guessed lower. Answer is C.
  
JN  2019-08-16 17:56:25

Question 22

What is the tens digit of ?


Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Question 24

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


Solution

  
  2020-07-09 06:39:19

Question 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?


Solution

  
  2020-07-09 06:39:19

Answer Keys


Question 1: E
Question 2: E
Question 3: D
Question 4: C
Question 5: D
Question 6: D
Question 7: C
Question 8: B
Question 9: E
Question 10: C
Question 11: A
Question 12: B
Question 13: C
Question 14: C
Question 15: D
Question 16: C
Question 17: A
Question 18: D
Question 19: D
Question 20: D
Question 21: C
Question 22: D
Question 23: D
Question 24: A
Question 25: A



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