Understanding Percentages · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

What Percent Means

Mathematics · Fractions · ages 9-10
Name ______________________   Date ____________
  1. Write 35% as a decimal.

    Answer: ______________

  2. What is 35% written as a fraction with denominator 100?

    • 35/100
    • 35/10
    • 100/35
    • 3/35
  3. What does the percent sign (%) mean?

    • Out of 10
    • Out of 100
    • Out of 1000
  4. 100% means all of something, the whole amount.

    Circle one:   True   False

  5. In a class of 100 students, 50% are boys. What fraction of the class is boys?

    • 1/2
    • 1/4
    • 1/5
  6. What is 7/10 written as a percent?

    • 70%
    • 7%
    • 10%
    • 107%
  7. A 10 by 10 grid has 40 of its squares shaded. What percent of the grid is shaded?

    • 40%
    • 4%
    • 400%
    • 2.5%
  8. A grid has 100 equal squares. If 60% are shaded, how many squares are shaded?

    Answer: ______________

  9. Ravi writes 60% as the fraction 6/100. What mistake did he make?

    • He should have written 6/10 instead
    • There is no mistake
    • He forgot a zero; it should be 60/100
  10. A grid of 100 squares has 73 shaded. Write the percent shaded as just the number, no % sign.

    Shaded73Not shaded27

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

What Percent Means W1-mt_ZM9mhHsyYZ-s1

  1. 0.35 · 35% is 35/100, and 35 divided by 100 is 0.35.
  2. 35/100 · The word percent means out of one hundred, so 35% is 35 out of 100, written 35/100.
  3. Out of 100 · Percent always means 'out of 100' equal parts.
  4. True · 100% is 100 out of 100 parts, which is everything.
  5. 1/2 · 50% is 50 out of 100, and 50/100 is the same as 1/2.
  6. 70% · Percent counts parts out of one hundred, so change 7/10 into 70/100, which is 70%.
  7. 40% · A 10 by 10 grid has 100 squares, so 40 shaded squares is 40 out of 100, which is 40%.
  8. 60 · 60% means 60 out of 100, so 60 squares are shaded.
  9. He forgot a zero; it should be 60/100 · 60% means 60 out of 100, so the fraction is 60/100, not 6/100.
  10. 73 · 73 out of 100 squares shaded is 73%, so the number is 73.
Worksheet · LightMySky