Percentages

Question 1

What does a percentage mean?

Answer 1

A percentage is a number that represents a value per hundred. For example, 45% means 45 out of 100. So if there are 200 items, then 45% means 90 items.

Question 2

Convert 50% to a fraction.

Answer 2

To convert a percentage to a fraction, we divide the percentage by 100 and simplify. 50% = 50/100 = 1/2.

Question 3

Convert 3.5% to a fraction.

Answer 3

3.5/100 = 0.035 - use your calculator. Always divide by 100.

Question 4

Convert 115% to a fraction.

Answer 4

Divide by 100. 115/100 = 1 15/100 or 1 3/20.

Question 5

Change 0.95 to a percentage.

Answer 5

To change to a percentage, multiply by 100 and add the % sign. So 0.95 x 100 = 95%.

Question 6

Change 1.13 to a percentage.

Answer 6

1.13 x 100 = 113% Yes, you can have percentages that are greater than 100%.

Question 7

Change 0.005 to a percentage.

Answer 7

0.005 x 100 = 0.5%

Question 8

Convert 110% to a decimal.

Answer 8

To convert a percentage to a decimal we divide by 100. So 110% = 110/100 = 1.1.

Question 9

Convert 35.8% to a decimal.

Answer 9

Divide by 100. 35.8/100 = 0.358.

Question 10

Convert 1.9% to a decimal.

Answer 10

Divide by 100. 1.9/100 = 0.019.

Question 11

Find what percentage 6 is out of 20.

Answer 11

To find the percentage of a quantity, we divide the quantity by the total and then multiply by 100.
So 6/20 x 100 = 30%

Question 12

Jimmy gets 3 pieces of an 8 piece Pizza. What percentage did he get?

Answer 12

quantity/total x 100.
So 3/8 X 100 = 35.5%

Question 13

What percentage is 14 out of 25?

Answer 13

number / total x 100.
14/25x100 = 56%

Question 14

What percentage out of 76 is 19?

Answer 14

Again, number / total x 100.
So 19 / 76 x 100 = 25%

Question 15

Jacob pays 15% tax on his income. If he earns $320, how much tax did he pay?

Answer 15

To find an amount from a percentage, we convert the percentage to a decimal first and them multiply by the total amount.
15 / 100 x 320 = $48.00

Question 16

A class of 40 students is made up of 25 boys and 15 girls. 40% of the boys play cricket and 60% of the girls play netball. What percentage of the class are boys and girls? How many boys play cricket and how many girls play netball?

Answer 16

Boys = 25/40 x 100 = 62.5%
Girls = 15/40 x 100 = 37.5%
Notice that they must add up to 100%.
Boys playing cricket = 40/100 x 25 = 10.
Girls playing netball = 60/100 x 15 = 9.