Percent - Grade 6 Math Questions and Problems
With Solutions and Explanations

Detailed solutions and full explanations to grade 6 percent questions are presented.


  1. 30% of 30 =


    Solution

    30% of 30 is equal to

    30% 30 = (30 / 100) 30 = 900 / 100 = 9


  2. 150% of 60 =


    Solution

    150% of 60 is equal to

    150% 60 = (150 / 100) 60 = (150 60) / 100 = 90


  3. 1/4 =
    1. 4%
    2. 1%
    3. 0.25%
    4. 25%
    Solution

    We need to change the fraction 1 / 4 into a fraction with denominator 100 which is a percent

    1 / 4 = (1 25) / (4 25) = 25 / 100 = 25%


  4. 0.05 =


    1. 50%
    2. 500%
    3. 5%
    4. 0.5%


    Solution

    We need to change the decimal number 0.05 into a fraction with denominator 100 which is a percent

    0.05 = 0.05 / 1 = (0.05 100) / (1 100) = 5 / 100 = 5%


  5. If 100% of a number is 15, what is 50% of the number?

    Solution

    Let n be the number

    100% of a number is 15 is written as: 100% n = 15

    100% = 100 / 100 = 1

    Hence

    100% n = n = 15

    We now need to find 50% of the number

    50% of 15 = (50 / 100) 15 = 750 / 100 = 7.5

    NOTE that the above problem could be solved by noting that 50% of something is half of 100% of the same thing. Hence if 100% of something is 15 then 50% of the same thing is haflf of 15 / 2 = 7.5


  6. If 10% of a number is 7, what is 80% of the number?

    Solution

    Note that 80% of something is 8 times 10% of the same thing. Hence if 10% of a number is 7 then 80% of the same number is given by

    8 7 = 56


  7. Which is the greatest?

    1. 90% of 10
    2. 6% of 1000
    3. 5% of 1400
    4. 3% of 2500


    Solution

    Express as fractions with same denominator 100 and then compare

    90% of 10 = (90 / 100) 10 = 900 / 100

    6% of 1000 = (6 / 100) 1000 = 6000 / 100

    5% of 1400 = (5 /100) 1400 = 7000 / 100

    3% of 2500 = (3 / 100) 2500 = 7500 / 100

    The largest fraction is 7500 / 100 which correspond to 3% of 2500. Hence 3% of 2500 is the largest.


  8. The original price of a toy was $15. If the price is reduced by 20%, what is the new price of the toy?

    Solution

    20% of price is

    20% 15 = $3

    The original price was $15 and was reduced by 20% or $3. Hence the new price after reduction is

    15 - 3 = $12


  9. George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he make?



    Solution

    The benefit in dollars is

    $5500 - $5000 = $500

    Express $500 as a percent of $5000 as follows

    500 / 5000 = 5 / 50 = 10 / 100 = 10%


  10. If 20% of n is equal to 40, what is n?



    Solution

    "20% of n is equal to 40" is written as

    20% n = 40 (20 / 100) n = 40

    Rewrite the above with fraction on the right side with denominator equal to 100

    20 n / 100 = 40 / 1 = 4000 / 100

    Since the two fractions have same denominator and are equal, their numerator must be equal. Hence

    20 n = 4000 which means that n = 200.

    1. 200
    2. 2000
    3. 800
    4. 80




  11. The price of a T-shirt was $20. It was first increased by 20%. They did not sell well the shop owner decreased the price by 20%. What is the new price of the T-shirt?

    1. $20
    2. $22
    3. $21
    4. $19.20




  12. What percent of 1 hour is 15 minutes?

    1. 50%
    2. 15%
    3. 75%
    4. 25%



Answers to the Above Questions

  1. C
  2. D
  3. D
  4. C
  5. A
  6. B
  7. D
  8. A
  9. B
  10. A
  11. D
  12. D
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Updated: 14 March 2009 (A Dendane)

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