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

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

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

What is the formula to calculate percentage increase or decrease?

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

What does the term 'percentage' mean?

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

What does 50% mean?

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

How do you find 10% of 150?

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

How do you convert a decimal into a percentage?

<p>multiply by 100 (C)</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% (D)</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) (D)</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 (B)</p> Signup and view all the answers

What is compound interest?

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

What is the formula to calculate compound interest?

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

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