topic badge
AustraliaVIC
VCE 11 General 2023

4.02 Percentages

Worksheet
Percentages and decimals
1

Convert the following to decimals:

a

62\%

b

591\%

c

9.7\%

d

0.69\%

e

75.08\%

2

Using a calculator, convert 38.76\% to a decimal.

3

Convert the following to percentages:

a

0.13

b

0.9

c

8.34

d

0.051

4

Convert 0.\overline{6} into a mixed number percentage.

5

Interest rates are often listed as percentages, but decimal values are needed when using them in calculations. What is the decimal representation of each of the following interest rates?

a

12\%

b

8.2\%

c

7.14\%

6

A bushfire moves through an area of land. If 25\% of the land is burned by the bushfire, what proportion of the land is not burned? Write your answer as a decimal.

7

Patricia and Nadia are among the candidates for a school leader. Patricia receives 0.3 votes for every vote cast and Nadia receives 0.6 votes for every vote cast.

a

What was the combined percentage of votes for Patricia and Nadia?

b

What percentage of votes did not go to Patricia?

8

Irene spends 27\% of her pocket money each week.

a

Express how much of her pocket money she spends as a decimal.

b

Express how much of her pocket money she saves as a decimal.

Percentages and fractions
9

Convert the following into simplified fractions:

a

50\%

b

90\%

c

29.4\%

10

Express 107\% as a mixed number in its simplest form.

11

Express 27.11\% as a fraction in simplest form.

12

Convert the following into percentages:

a

\dfrac{69}{100}

b

\dfrac{3}{5}

c

\dfrac{3}{8}

13

Consider the following fraction: \dfrac{144}{400}

a

Convert it to a fraction with a denominator of 100.

b

Convert it to a percentage.

14

In a census, it was found that 25.5\% of the population were born overseas.

What fraction of the entire population were born overseas?

15

Shaun spends 94\% of his pocket money each week.

a

What fraction does he spend?

b

What fraction does he save?

Percentages of quantities
16

Evaluate:

a

28\% of 5000

b

900\% of 90 metres

c

5.2\% of 80 kilograms

17

Find 10\% of \$321.06, rounded to the nearest 5 cents.

18

In a recent survey of planes landing at a major airport, it was observed that 19\% of the flights were delayed less than an hour and 3\% of the flights were delayed an hour or more but less than two hours.

a

Find the percentage of flights that are delayed less than two hours.

b

If 9000 flights arrive at the airport in a day, how many flights are delayed less than two hours?

19

Amelia spends 40\% of her weekly income on rent. If her rent is \$440 each week, using a calculator, find her weekly income.

One quantity as a percentage of another
20

What percentage is 8 of 32?

21

What percentage is 50 \text{ cm} of 4 \text{ m}?

22

Using a calculator, what percentage is 75 of 100?

23

A car weighs 2200 \text{ kg} and a truck weighs 4 tonnes. Using a calculator, express the weight of the car as a percentage of the weight of the truck. (Note that 1 \text{ tonne} = 1000 \text{ kg}.)

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

U1.AoS2.6

concepts of ratio, proportion, percentage, percentage change and rate, and unitary method

What is Mathspace

About Mathspace