Percentage Mastery
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Questions and Answers

Which of the following best defines a percentage?

  • The average of two quantities
  • A ratio of two quantities expressed as a fraction of 100 (correct)
  • The difference between two quantities
  • The total amount of a quantity

    • What does 50% of a number mean?

  • 50 parts of the number out of a total of 100
  • The sum of 50 and the number
  • Half of the number (correct)
  • The product of 50 and the number

    • What is the percentage increase or decrease a measure of?

  • How much a value has changed compared to its original amount (correct)
  • The average change in a value
  • The difference between two values
  • The total change in a value

    • If a value is greater than its original amount, it has ___.

    <p>Increased</p> Signup and view all the answers

    If a value is less than its original amount, it has ___.

    <p>Decreased</p> Signup and view all the answers

    What does it mean to express one quantity as a percentage of another?

    <p>To find the ratio of the two quantities</p> Signup and view all the answers

    What is the formula to calculate a given percentage of a quantity?

    <p>Percentage = (Percentage value / 100) * Quantity</p> Signup and view all the answers

    What is the formula to calculate percentage increase or decrease?

    <p>Percentage change = (Change / Original amount) * 100</p> Signup and view all the answers

    What does it mean to carry out calculations involving reverse percentages?

    <p>To find the cost price given the selling price and the percentage profit</p> Signup and view all the answers

    What does the term 'percentage' mean?

    <p>Number of parts per one hundred</p> Signup and view all the answers

    Which of the following is the correct equation to find the result of a percentage increase?

    <p>original amount + percentage change</p> Signup and view all the answers

    What does 50% mean?

    <p>1/2</p> Signup and view all the answers

    How do you find 10% of 150?

    <p>10/100 × 150</p> Signup and view all the answers

    How do you convert a decimal into a percentage?

    <p>multiply by 100</p> Signup and view all the answers

    What is the percentage error in Nicola's calculation if she measures the length of her textbook as 20cm, but the actual length is 17.6cm?

    <p>13.64%</p> Signup and view all the answers

    What is the formula to find the original value when given the new value and percentage change?

    <p>original value = new value × 100 / (100 + %change)</p> Signup and view all the answers

    What is the formula to calculate the amount in a bank after 1 year with a given percentage increase?

    <p>new value = 100 + percentage increase × original value / 100</p> Signup and view all the answers

    What is compound interest?

    <p>Interest that is calculated monthly</p> Signup and view all the answers

    What is the formula to calculate compound interest?

    <p>original value × (1 + percentage increase)^number of years</p> Signup and view all the answers

    How many of a certain rare breed of animal will be left at the end of 2005 if their number decreases by 12% each year?

    <p>3872</p> Signup and view all the answers

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