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2005 AMC 12B Problems: Difference between revisions
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== Problem 2 == | == Problem 2 == | ||
A positive number <math>x</math> has the property that <math>x\%</math> of <math>x</math> is <math>4</math>. What is <math>x</math>? | |||
<math> | <math> | ||
\mathrm{(A)}\ | \mathrm{(A)}\ 2 \qquad | ||
\mathrm{(B)}\ | \mathrm{(B)}\ 4 \qquad | ||
\mathrm{(C)}\ | \mathrm{(C)}\ 10 \qquad | ||
\mathrm{(D)}\ | \mathrm{(D)}\ 20 \qquad | ||
\mathrm{(E)}\ | \mathrm{(E)}\ 40 | ||
</math> | </math> | ||
Revision as of 21:07, 17 April 2009
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Problem 1
A scout troop buys
candy bars at a price of five for
dollars. They sell all the candy bars at the price of two for
dollar. What was their profit, in dollars?
Problem 2
A positive number
has the property that
of
is
. What is
?
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
$