Testinar Grade 6 math

What Is a Percent?

Students will build Grade 6 mastery of what is a percent? using models, equations, and test-style reasoning.

CH01-07 Ratios, Rates, and Percents
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A \(10\times10\) grid has \(35\) shaded squares. What percent of the grid is shaded?

    1. \(3.5\%\)
    2. \(35\%\)
    3. \(65\%\)
    4. \(350\%\)

  2. Which fraction is equivalent to \(72\%\)?

    1. \(\frac{72}{1000}\)
    2. \(\frac{28}{100}\)
    3. \(\frac{100}{72}\)
    4. \(\frac{72}{100}\)

  3. Convert \(\frac{3}{4}\) to a percent.

    1. \(34\%\)
    2. \(0.75\%\)
    3. \(75\%\)
    4. \(340\%\)

  4. What percent of the grid is shaded?

    What Is a Percent? visual for G6-C01-T07-Q004
    1. \(26\%\)
    2. \(30\%\)
    3. \(74\%\)
    4. \(42\%\)

  5. A decimal is \(0.58\). What is this as a percent?

    1. \(5.8\%\)
    2. \(58\%\)
    3. \(0.058\%\)
    4. \(580\%\)

  6. Write \(19\%\) as a decimal.

    1. \(0.019\)
    2. \(19.0\)
    3. \(1.9\)
    4. \(0.19\)

  7. A soccer team won \(80\%\) of its games. Which decimal represents this percent?

    1. \(0.008\)
    2. \(0.80\)
    3. \(8.0\)
    4. \(80.0\)

  8. A recipe calls for \(\frac{2}{5}\) cup of sugar. What percent is this of \(1\) cup?

    1. \(25\%\)
    2. \(50\%\)
    3. \(60\%\)
    4. \(40\%\)
Teacher and parent reference

Answer key and explanations

  1. B. \(35\%\)

    A \(10\times10\) grid has \(100\) squares. A percent is a ratio out of \(100\). So \(35\) out of \(100\) squares shaded \(=\frac{35}{100}=35\%\).

  2. D. \(\frac{72}{100}\)

    Percent means "per 100." So \(72\% = \frac{72}{100}\).

  3. C. \(75\%\)

    To convert a fraction to a percent, write it as a fraction with denominator \(100\). \(\frac{3}{4} = \frac{75}{100} = 75\%\).

  4. A. \(26\%\)

    Counting the shaded squares: 18 in the upper region \(+\) 8 in the right region \(= 26\) squares out of \(100\). So \(26\%\).

  5. B. \(58\%\)

    To convert a decimal to a percent, multiply by \(100\) (or move the decimal two places right). \(0.58 \times 100 = 58\%\).

  6. D. \(0.19\)

    To convert a percent to a decimal, divide by \(100\) (or move the decimal two places left). \(19\% = 0.19\).

  7. B. \(0.80\)

    \(80\% = \frac{80}{100} = 0.80\).

  8. D. \(40\%\)

    \(\frac{2}{5} = \frac{40}{100} = 40\%\), since \(2 \times 20 = 40\) and \(5 \times 20 = 100\).

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