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Difference between revisions of "2015 AMC 10B Problems"
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==Problem 3==
 
==Problem 3==
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Isaac has written down one integer two times and another integer three times. The sum of the five numbers is 100, and one of the numbers is 28. What is the other number?
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<math>\textbf{(A)}\; 8 \qquad\textbf{(B)}\; 11 \qquad\textbf{(C)}\; 14 \qquad\textbf{(D)}\; 15 \qquad\textbf{(E)}\; 18</math>
  
 
[[2015 AMC 10B Problems/Problem 3|Solution]]
 
[[2015 AMC 10B Problems/Problem 3|Solution]]
 
==Problem 4==
 
==Problem 4==
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Four siblings ordered an extra large pizza.  Alex ate \frac{1}{5}, Beth \frac{1}{3}, and Cyril \frac{1}{4} of the pizza.  Dan got the leftovers.  What is the sequence of the siblings in decreasing order of the part of the pizza they consumed?
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<math>\textbf{(A)}\; ? \qquad\textbf{(B)}\; ? \qquad\textbf{(C)}\; ? \qquad\textbf{(D)}\; ? \qquad\textbf{(E)}\; ? </math>
  
 
[[2015 AMC 10B Problems/Problem 4|Solution]]
 
[[2015 AMC 10B Problems/Problem 4|Solution]]

Revision as of 15:15, 3 March 2015

Problem 1

What is the value of $2-(-2)^{-2}$ ?

$\textbf{(A)}\; -2 \qquad\textbf{(B)}\; \dfrac{1}{16} \qquad\textbf{(C)}\; \dfrac{7}{4} \qquad\textbf{(D)}\; \dfrac{9}{4} \qquad\textbf{(E)}\; 6$

Solution

Problem 2

Marie does three equally time-consuming tasks in a row without taking breaks. She begins the first task at 1:00 PM and finishes the second task at 2:40 PM. When does she finish the third task?

$\textbf{(A)}\; 3:10 PM \qquad\textbf{(B)}\; 3:30 PM \qquad\textbf{(C)}\; 4:00 PM \qquad\textbf{(D)}\; 4:10 PM \qquad\textbf{(E)}\; 4:30 PM$

Solution

Problem 3

Isaac has written down one integer two times and another integer three times. The sum of the five numbers is 100, and one of the numbers is 28. What is the other number?

$\textbf{(A)}\; 8 \qquad\textbf{(B)}\; 11 \qquad\textbf{(C)}\; 14 \qquad\textbf{(D)}\; 15 \qquad\textbf{(E)}\; 18$

Solution

Problem 4

Four siblings ordered an extra large pizza. Alex ate \frac{1}{5}, Beth \frac{1}{3}, and Cyril \frac{1}{4} of the pizza. Dan got the leftovers. What is the sequence of the siblings in decreasing order of the part of the pizza they consumed?

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

Solution

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

See also

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

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