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Difference between revisions of "2011 AMC 12A Problems"

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(Problem 4)
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== Problem 4 ==
 
== Problem 4 ==
 
[[2011 AMC 12A Problems/Problem 4|Solution]]
 
[[2011 AMC 12A Problems/Problem 4|Solution]]
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At an elementary school, the students in third grade, fourth grade, and fifth grade run an average of 12, 15, and 10 minutes per day, respectively. There are twice as many third graders as fourth graders, and twice as many fourth graders as fifth graders. What is the average number of minutes run per day by these students?
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<math> \textbf{(A)}\ 12 \qquad
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\textbf{(B)}\ \frac{37}{3} \qquad
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\textbf{(C)}\  \frac{88}{7}\qquad
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\textbf{(D)}\ 13  \qquad
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\textbf{(E)}\ 14</math>
  
 
== Problem 5 ==
 
== Problem 5 ==

Revision as of 15:25, 9 February 2011

Problem 1

Solution A cell phone plan costs $$20 dollars each month, plus $5$ cents per text message sent, plus $10$ cents for each minute used over $30$ hours. In January Michelle sent $100$ text messages and talked for $30.5$ hours. How much did she have to pay?

$\textbf{(A)}$\$24.00 \qquad \textbf{(B)}$\$24.50\qquad \textbf{(C)}$\$25.50\qquad \textbf{(D)}$\$28.00\qquad \textbf{(E)}$\$30.00$

Problem 2

Solution There are 5 coins placed flat on a table according to the figure. What is the order of the coins from top to bottom?

$\textbf{(A)}\ (C, A, E, D, B) \qquad \textbf{(B)}\ (C, A, D, E, B) \qquad \textbf{(C)}\  (C, D, E, A, B)$ $\textbf{(D)}\  (C, E, A, D, B) \qquad \textbf{(E)}\ (C, E, D, A, B)$

Problem 3

Solution A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy?

$\textbf{(A)}\ 11 \qquad \textbf{(B)}\ 12 \qquad \textbf{(C)}\  13 \qquad \textbf{(D)}\ 14  \qquad \textbf{(E)}\ 15$

Problem 4

Solution At an elementary school, the students in third grade, fourth grade, and fifth grade run an average of 12, 15, and 10 minutes per day, respectively. There are twice as many third graders as fourth graders, and twice as many fourth graders as fifth graders. What is the average number of minutes run per day by these students?

$\textbf{(A)}\ 12 \qquad \textbf{(B)}\ \frac{37}{3} \qquad \textbf{(C)}\  \frac{88}{7}\qquad \textbf{(D)}\ 13  \qquad \textbf{(E)}\ 14$

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

Problem 16

Solution

Problem 17

Solution

Problem 18

Solution

Problem 19

Solution

Problem 20

Solution

Problem 21

Solution

Problem 22

Solution

Problem 23

Solution

Problem 24

Solution

Problem 25

Solution