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2005 AMC 12B Problems
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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 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also
Problem 1
Two is of
and
of
. What is
?
Problem 2
The equations and
have the same solution for
. What is the value of
?
Problem 3
A rectangle with a diagonal of length is twice as long as it is wide. What is the area of the rectangle?
Problem 4
The average (mean) of numbers is
30
20
\mathrm{(A)}\ \frac14x^2 \qquad
\mathrm{(B)}\ \frac25x^2 \qquad
\mathrm{(C)}\ \frac12x^2 \qquad
\mathrm{(D)}\ x^2 \qquad
\mathrm{(E)}\ \frac32x^2
$