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1.01 Percentage of an amount

Worksheet
Convert percentages
1

Express the following percentages as fractions with denominators of 100:

a
6\%
b
23\%
c
25\%
d
55\%
e
80\%
f
100\%
2

Express the following percentages as simplified fractions:

a
7\%
b
8\%
c
10\%
d
27\%
e
25\%
f
47\%
g
50\%
h
65\%
i
75\%
j
90\%
k
96\%
l
100\%
3

Express the following percentages as improper fractions:

a
225\%
b
427\%
c
899\%
d
368\%
4

Express the following percentages as mixed numbers:

a
159\%
b
543\%
c
991\%
d
278\%
5

Express the following percentages as simplified fractions:

a
1.2\%
b
28.8\%
c
30.1\%
d
4.25\%
e
18.97\%
f
43.55\%
6
Express the following fractions as percentages:
a
\dfrac{6}{100}
b
\dfrac{10}{100}
c
\dfrac{35}{100}
d
\dfrac{50}{100}
e
\dfrac{84}{100}
f
\dfrac{100}{100}
7
Express the following fractions as percentages:
a
\dfrac{9}{10}
b
\dfrac{2}{5}
c
\dfrac{2}{25}
d
\dfrac{1}{4}
e
\dfrac{7}{20}
f
\dfrac{35}{35}
8
Express the following fractions as percentages:
a
\dfrac{1}{3}
b
\dfrac{16}{32}
c
\dfrac{136}{400}
d
\dfrac{9\dfrac{3}{4}}{100}
e
\dfrac{14}{35}
f
\dfrac{4.5}{100}
9
Convert the following percentages to decimals:
a
5\%
b
50\%
c
52\%
d
80\%
e
100\%
f
172\%
Percentage of a quantity
10

Evaluate:

a

50\% of 720

b

10\% of 36

c

25\% of 80

d

46\% of 1000

e

30\% of 23\text{ L}

f

28\% of 500\text{ m}

g

16\% of 4\text{ hrs}

h

33 \dfrac{1}{3}\% of 96\text{ mL}

11

Evaluate to two decimal places:

a

49.8\% of 890

b

18 \dfrac{2}{5}\% of 8273

c

1.57\% of \$426.23

d

3.5\% of \$27\,599

e

70\% of 63.9\text{ kg}

f

30\% of 28.55\text{ L}

g

16\% of 4\text{ hrs}

h

33\% of 33\text{ mL}

12
a

What percentage of the squares are shaded?

i
ii
b

What percentage of one whole circle is shaded in each set of the diagrams below?

i
ii
iii
Applications
13

Shaun spends 75\% of his pocket money each week.

a

What fraction of his pocket money does he spend?

b

What fraction of his pocket money does he save?

14

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

15

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?

16

Icy Ice-creams uses 78\% of their weekly earnings on expenses.

a
As a decimal, how much of the earnings is used for expenses?
b
As a decimal, how much of the profit is remaining?
17

Ryan scored 60\% on her Maths exam, which was marked out of 110. What was Ryan's actual mark out of 110?

18

A theatre has a capacity of 1000 people. On opening night the theatre was 95\% full. On the second night it was 70\% full. Find the total number of people that attended the theatre on the first two nights.

19

A frozen apple pie weighing 331 grams is advertised as being 90\% fat free. How many grams of fat are there in the pie? Round your answer to 1 decimal place.

20

Jay scored 92\% of a possible 600 marks. He had aimed to score 96\% of the marks. How many more marks were required to reach his goal?

21
Jane paid \$750 to get a dress made. \$450 of this was for the materials and the rest was for the labour required.
a
Find the percentage of the cost that paid for the materials.
b
Find the percentage of the cost that paid for the labour.
22

During a sale period, there is 50\% off on a shirt whose original price was \$674. Find the sale price of the shirt.

23

Oprah has completed 50\% of the necessary 60 hours of pilot training.

a

Find 50\% of 60 hours.

b

Sam has completed 5\% more of the required training hours than Oprah. How many hours has he completed?

24

A car weighs 700\text{ kg} and a truck weighs 2 tonnes. Express the weight of the car as a percentage of the weight of the truck. (Note that 1 tonne=1000\text{ kg})

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Outcomes

1.1.5

apply percentage increase or decrease in contexts, including determining the impact of inflation on costs and wages over time, calculating percentage mark-ups and discounts, calculating GST, calculating profit or loss in absolute and percentage terms, and calculating simple and compound interest

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