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3.1.9: Proficiency Exam

  • Page ID
    116778
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    Proficiency Exam

    Exercise \(\PageIndex{1}\)

    Compare 4 cassette tapes to 7 dollars.

    Answer

    \(\dfrac{\text{4 cassette tapes}}{\text{7 dollars}}\)

    Exercise \(\PageIndex{2}\)

    What do we call a comparison, by division, of two unlike denominate numbers?

    Answer

    Rate

    For problems 3 and 4, express each ratio or rate as a fraction.

    Exercise \(\PageIndex{3}\)

    11 to 9

    Answer

    \(\dfrac{11}{9}\)

    Exercise \(\PageIndex{4}\)

    5 televisions to 2 radios

    Answer

    \(\dfrac{\text{5 televisions}}{\text{2 radios}}\)

    For problems 5 and 6, write each ratio or rate in the form "\(a\) to \(b\)".

    Exercise \(\PageIndex{5}\)

    \(\dfrac{\text{8 maps}}{\text{3 people}}\)

    Answer

    8 maps to 3 people

    Exercise \(\PageIndex{6}\)

    \(\dfrac{\text{2 psychologists}}{\text{75 people}}\)

    Answer

    two psychologists to seventy-five people

    For problems 7-9, solve each proportion.

    Exercise \(\PageIndex{7}\)

    \(\dfrac{8}{x} = \dfrac{48}{90}\)

    Answer

    15

    Exercise \(\PageIndex{8}\)

    \(\dfrac{x}{7} = \dfrac{4}{28}\)

    Answer

    1

    Exercise \(\PageIndex{9}\)

    \(\dfrac{\text{3 computers}}{\text{8 students}} = \dfrac{\text{24 computers}}{\text{x students}}\)

    Answer

    64

    Exercise \(\PageIndex{10}\)

    On a map, 4 inches represents 50 miles. How many miles does 3 inches represent?

    Answer

    \(37\dfrac{1}{2}\)

    Exercise \(\PageIndex{11}\)

    An acid solution is composed of 6 milliliters of acid to 10 milliliters of water. How many milliliters of acid are there in an acid solution that is composed of 3 milliliters of water?

    Answer

    1.8

    Exercise \(\PageIndex{12}\)

    The odds that a particular event will occur are 9 to 7. If the event occurs 27 times, how many times would you predict it will it not occur?

    Answer

    21

    For problems 13 and 14, convert each decimal to a percent.

    Exercise \(\PageIndex{13}\)

    0.82

    Answer

    82%

    Exercise \(\PageIndex{14}\)

    \(3.\overline{7}\)

    Answer

    \(377 \dfrac{7}{9}\)%

    For problems 15 and 16, convert each percent to a decimal.

    Exercise \(\PageIndex{15}\)

    2.813%

    Answer

    0.02813

    Exercise \(\PageIndex{16}\)

    0.006%

    Answer

    0.00006

    For problems 17-19, convert each fraction to a percent.

    Exercise \(\PageIndex{17}\)

    \(\dfrac{42}{5}\)

    Answer

    840%

    Exercise \(\PageIndex{18}\)

    \(\dfrac{1}{8}\)

    Answer

    12.5%

    Exercise \(\PageIndex{19}\)

    \(\dfrac{800}{80}\)

    Answer

    1,000%

    For problems 20 and 21, convert each percent to a fraction.

    Exercise \(\PageIndex{20}\)

    15%

    Answer

    \(\dfrac{3}{20}\)

    Exercise \(\PageIndex{21}\)

    \(\dfrac{4}{27}\)%

    Answer

    \(\dfrac{4}{2,700}\) or \(\dfrac{1}{675}\)

    For problems 22-25, find each indicated quantity.

    Exercise \(\PageIndex{22}\)

    What is 18% of 26?

    Answer

    4.68

    Exercise \(\PageIndex{23}\)

    0.618 is what percent of 0.3?

    Answer

    206

    Exercise \(\PageIndex{24}\)

    0.1 is 1.1% of what number?

    Answer

    \(9.\overline{09}\)

    Exercise \(\PageIndex{25}\)

    A salesperson makes a monthly salary of $1,000.00. He also gets a commission of 12% of his total monthly sales. If, in a particular month, he sells $5,500.00 worth of merchandise, what is his income that month?

    Answer

    $1,660


    3.1.9: Proficiency Exam is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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