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Art of Problem Solving

2011 AMC 8 Problems

From AoPSWiki

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 910 Problem 1011 Problem 1112 Problem 1213 Problem 1314 Problem 1415 Problem 1516 Problem 1617 Problem 1718 Problem 1819 Problem 1920 Problem

2021 Problem 2122 Problem 22

23 Problem 2324 Problem 2425 Problem

2526 See Also

Problem 1

Margie bought

apples at a cost of cents per apple. She paid with a 5-dollar bill. How m uch change did

Margie recieve?

Solution

Problem 2

Karl's rectangular vegetable garden is feet by

feet, and Makenna's is

feet by

feet. Whose

garden is larger in area?

Solution

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?

Solution

Problem 4

Here is a list of the num bers of fish that Tyler caught in nine outings last sum m er:

Which statem ent about the m ean, m edian, and m ode is true?

Solution

Problem 5

What tim e was it m inutes after m idnight on January 1, 2011?

Solution

Problem 6

In a town of 351 adults, every adult owns a car, m otorcycle, or both. If 331 adults own cars and 45 adults own m otorcycles, how m any of the car owners do not own a m otorcycle?

Solution

Problem 7

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

Solution

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 m any different values are possible for the sum of the two num bers on the chips?

Solution

Problem 9

Carm en takes a long bike ride on a hilly highway. The graph indicates the m iles traveled during the tim e of her ride. What is Carm en's average speed for her entire ride in m iles per hour?

Solution

Problem 10

The taxi fare in Gotham City is $2.40 for the first m ile and additional m ileage charged at the rate $0.20 for each additional 0.1 m ile. You plan to give the driver a $2 tip. How m any m iles can you ride for $10?

Solution