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1.01 Percentage review

Worksheet
Convert percentages
1

Express the following percentages as fractions with a denominator 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\%
g
4.5\%
h
0.1\%
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\frac{3}{4}}{100}
e
\dfrac{14}{35}
f
\dfrac{4.5}{100}
g
1\dfrac{4}{5}
9
Convert the following percentages to decimals:
a
5\%
b
50\%
c
52\%
d
80\%
e
100\%
f
172\%
g
0.65\%
10

State whether the following are the same as 80\%.

a

\dfrac{80}{10}

b

\dfrac{4}{5}

c

0.8

d

\dfrac{80}{100}\%

11

Arrange \dfrac{1}{4}, 60\% and 0.3 from largest to smallest.

12

Arrange \dfrac{3}{8}, 20\% and 0.8 from smallest to largest.

13

Convert between percentages, fractions and decimals to complete the tables below:

a
FractionDecimalPercentage
\dfrac{11}{100}
1.83
\dfrac{5}{8}
b
FractionDecimalPercentage
\dfrac{1}{2}
0.75
30\%
c
FractionDecimalPercentage
1\dfrac{2}{5}
3.56
112\dfrac{1}{2}\%
Percentage of a quantity
14

Evaluate:

a

50\% of 720

b

10\% of 36

c

25\% of 80

d

46\% of 1000

e

30\% of 23 L

f

28\% of 500 m

g

16\% of 4 hrs

h

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

15

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 kg

f

30\% of 28.55 L

g

26\% of 4 hrs

h

33\% of 33 mL

16
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
Percentage problems
17

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?

18

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

What fraction of the entire population were born overseas?

19

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? Express your answer as a decimal.

20

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?
21

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

22

A theatre has a capacity of 1000 people. On the opening night, the theatre was 95\% full. On the second night, it was 70\% full. How many people attended the theatre in total on the first 2 nights?

23

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 one decimal place.

24

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?

25
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.
26

During a sale period, a shirt that normally costs \$674 is advertised at 50\% off. What is the sale price of the shirt?

27

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

a

Find 50\% of 60 hours.

b

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

28

A car weighs 700 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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