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2014 AMC 12B Problems

Revision as of 22:05, 8 February 2014 by Dragon6point1 (talk | contribs) (→‎Problem 14)

Problem 1

Solution

Problem 2

Solution

Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Amy, Bob, Charlie, and Dorothy each select distinct integers between $1$ and $10$, inclusive. What is the probability that the four integers are side lengths of a cyclic quadrilateral?

$\textbf{(A)}\ 0 \qquad \textbf{(B)}\ \frac{1}{16} \qquad \textbf{(C)}\ \frac{1}{12} \qquad \textbf{(D)}\ \frac{1}{8} \qquad \textbf{(E)}\ \frac{1}{4}$

Solution

Problem 15

Solution

Problem 16

Solution

Problem 17

Solution

Problem 18

Solution

Problem 19

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Problem 20

Solution

Problem 21

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Problem 22

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Problem 23

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Problem 24

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Problem 25

Solution

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