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\lhead{\color{cyan} \Large Sample Quiz}
\chead{\LARGE Fractions - Part 1}
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\lfoot{\small \copyright  \;  Hidegkuti, 2013}
\rfoot{\small Last revised: July 20, 2013}
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\begin{enumerate}
\item Compute $\dfrac{4}{9}$ of $63$.

\item Shade $\dfrac{5}{9}$ of the circle shown below.\FRAME{dtbpF}{1.5056in}{%
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\item Compute $\dfrac{5}{6}$ of $24$.

\item The price of a TV is $\$400$. \ We want to raise the price by $5\%$. \
What is the new price?

\item The price of a couch is $\$700$. \ Next week, it will go on a $15\%$
sale. \ What is the new price? (A $15\%$ sale means that the price of the
item is lowered by $15\%$.)

\item Find $\dfrac{3}{4}$ of $56$.

\item We placed $\$2000$ into a bank account with $6\%$ yearly interest
rate. How much money do we have in the bank after one year?

\item This problem is about a method of comparing fractions.

\begin{enumerate}
\item Compute $\dfrac{3}{7}$ \ of \ $420$.

\item Compute $\dfrac{4}{10}$ of $420$.

\item Based on the results of parts a) and b), which fraction is larger, $%
\dfrac{3}{7}$ \ or $\dfrac{4}{10}$?
\end{enumerate}

\item Bert has made $\$54\,000$ last year. \ If he has to pay $32\%$ of his
income in taxes, how much taxes does he owe and how much of his income will
he keep?

\item Sally used to make $\$2400$ per month, but now she got a $3\%$ raise.
\ How much is her monthly salary now?

\item Mr. X won \thinspace $\$600\,000$ in the lottery two yers ago. \ By
now he has spent some of the money. \ When he was asked what happened, he
said the following. \ "\textit{I didn't spend it all. \ I spent }$\dfrac{1}{3%
}$\textit{\ of the money by taking a luxury yacht trip around the world. \
Then I put the rest in the bank. \ Later I decided to buy a house I really
liked. \ So I took }$\dfrac{3}{4}$\textit{\ of the money out of the bank and
baught the house. \ For half of what was left, I purchased stocks that
completely lost their value. \ Finally, I gave }$\dfrac{2}{5}$\textit{\ of
what's left to my niece for her college education."}

How much money is left from the winnings?
\end{enumerate}

\end{document}