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Middle Years

4.04 One amount as a percentage of another

Worksheet
Express quantities as percentages
1

For each of the following, what percentage of the figures are shaded?

a
b
c
d
2

Express the following quantities as percentages, correct to two decimal places:

a

2 out of 4

b

8 out of 32

c

99 out of 110

d

66 out of 88

e

20 out of 40

f

5 out of 18

g

10 out of 19

h

134 \text{ L} out of 536 \text{ L}

3

State whether the following shows how to calculate 2 as a percentage of 38:

a

\dfrac{38}{100} \times 2

b

\dfrac{2}{38} \times 100\%

c

\dfrac{2}{38} \times 1

d

\dfrac{38}{2} \times 100\%

4

Find the following:

a

42 minutes as a percentage of an hour.

b

132 \text{ cm} as a percentage of 3 metres.

c

900 \text{ mL} as a percentage of 1 \text{ L}.

d

1 \text{ L} as a percentage of 450 \text{ mL}.

e

385 metres as a percentage of 4 \text{ km}.

f

24 minutes as a percentage of 2 hours.

g

50 \text{ cm} as a percentage of 4 \text{ m}.

h

94 \text{ g} as a percentage of 10 \text{ kg}.

i

443.22\text{ km} as a percentage of 890\text{ km}

j

164\text{ cm} as a percentage of 8.2\text{ m}

k

\$6 as a percentage of \$375

l

\$966 as a percentage of \$27\,600

m

45.5\text{ kg} as a percentage of 65\text{ kg}

n

8550\text{ mL} as a percentage of 28.5\text{ L}

o

36\text{ min} as a percentage of 4\text{ hrs}

p

108.9\text{ mL} as a percentage of 330\text{ mL}

Applications
5

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})

6

There are 2 boys and 7 girls in a class.

a

Find the total number of students in the class.

b

What percentage of the class is boys? Round your answer to two decimal places.

c

What percentage of the class is girls? Round your answer to two decimal places.

7

A box of fruit contains 20 apples, 15 mandarins, and 12 pineapples.

a

Find the total number of pieces of fruit inside the box.

b

What percentage of the box is apples? Round your answer to two decimal places.

c

What percentage of the box is mandarins? Round your answer to two decimal places

d

What percentage of the box is pineapples? Round your answer to two decimal places

8

At the beginning of the year, 200 people committed to going on a diet. By the end of the year, only 34 people were still on the diet. What percentage of people stuck with the diet?

9

If 57 people applied for a job and 38 were interviewed, what percentage of applicants were not interviewed? Round your answer to two decimal places.

10

When Bart looked at the bill from the mechanic, the total cost of repairs was \$800. \$640 of this was for labour and the rest was for replacement of parts.

a

What percentage of the cost of repairs was for labour?

b

What percentage of the cost of repairs was for replacement of parts?

11

In one day, the emergency line received 7520 calls. They found that 1128 of these calls were not an emergency.

a

What percentage of calls were not an emergency?

b

What percentage of calls were actual emergencies?

12

In a factory producing light bulbs, it is found that 27 out of a batch of 300 light bulbs are faulty. What percentage of the light bulbs are faulty?

13

Deborah scored 40 out of 50 in her history test and 57 out of 75 in her mathematics test.

a

What percentage score did Deborah get for her history test?

b

What percentage score did Deborah get for her mathematics test?

c

On which test did Deborah get a higher percentage score?

14

Justin and Georgia handed out fliers to advertise for their new concert.

Justin handed out 120 of his 400 fliers while Georgia handed out 360 of her 600 fliers.

a

What percentage of his fliers did Justin hand out?

b

What percentage of her fliers did Georgia hand out?

c

Who handed out a higher percentage of their fliers?

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