Math Quiz: Percentages, Fractions, and 3-Digit Numbers

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Questions and Answers

What is the percentage increase of 240 from 200?

  • 25%
  • 30%
  • 16%
  • 20% (correct)

What is 1/5 of 345?

  • 68
  • 69 (correct)
  • 67
  • 71

What is the equivalent fraction of 2/5 in thirds?

  • 3/7
  • 4/9
  • 5/12
  • 6/15 (correct)

What is the sum of 247, 189, and 216?

<p>652 (D)</p> Signup and view all the answers

What percentage decrease is 180 from 240?

<p>20% (D)</p> Signup and view all the answers

What percentage of 360 is 90?

<p>20% (D)</p> Signup and view all the answers

A bookstore has 420 books, and 30 more are added. What is the percentage increase?

<p>6.67% (A)</p> Signup and view all the answers

What is 3/4 of 288?

<p>216 (B)</p> Signup and view all the answers

What is the equivalent fraction of 3/4 in sixths?

<p>9/12 (B)</p> Signup and view all the answers

What is 0.45 as a percentage?

<p>45% (C)</p> Signup and view all the answers

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Study Notes

Percentages of 3-Digit Numbers

  • To find a percentage of a 3-digit number, multiply the number by the percentage (as a decimal)
  • For example, 25% of 240 = 240 × 0.25 = 60

Percentage Increase and Decrease

  • To find the percentage increase, first find the difference between the two values, then divide by the original value and multiply by 100
  • For example, if a value increases from 150 to 180, the percentage increase is ((180 - 150)/150) × 100 = 20%
  • To find the percentage decrease, follow the same steps, but subtract the difference from 100 to get the percentage decrease

Fractions of 3-Digit Numbers

  • To find a fraction of a 3-digit number, multiply the number by the numerator (top number) and divide by the denominator (bottom number)
  • For example, 1/4 of 240 = (1/4) × 240 = 60

Equivalent Fractions

  • Equivalent fractions have the same value, but different numerators and denominators
  • To find an equivalent fraction, multiply or divide both the numerator and denominator by the same number
  • For example, 1/2 is equivalent to 2/4, as both have the same value (halve of the whole)

Converting Decimals to Percentages

  • To convert a decimal to a percentage, multiply by 100
  • For example, 0.25 as a percentage is 0.25 × 100 = 25%

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