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iGCSE (2021 Edition)

2.03 Percentage of quantities

Worksheet
Percentage of quantities
1

Complete the table of fraction to percentage conversions.

Fraction\dfrac{1}{1}\dfrac{1}{2}\dfrac{1}{4}\dfrac{1}{5}\dfrac{1}{8}\dfrac{1}{20}\dfrac{1}{50}\dfrac{1}{100}
Percentage50\%10\%4\%1\%
2
Write the fraction or number that completes the following statements:
a

25\% of a quantity is the same as ⬚ of that quantity.

b

200\% of a quantity is the same as ⬚ of that quantity.

3

Find the following quantities by first converting the percentage into a fraction.

a

15\% of 160

b

250\% of 12

c

16\% of 275

d

175\% of 20

4

Find the following quantities by first converting the percentage into decimal.

a

90\% of 20

b

220\% of 10

c

60\% of 60

d

21\% of 400

5

Show a way to correctly calculate 25\% of 140.

6

Find the following:

a

10\% of 90

b

20\% of 45

c

1\% of 900

d

2\% of 400

e

500\% of 11

f

350\%of 16

g

60\% of 30

h

45\% of 160

i

200\% of 13

j

150\%of 18

k

80\% of 40

l

50\% of 320

7

Find the following:

a

10\% of 80\text{ g}

b

20\% of \$60

c

30\% of \$200

d

2\% of 300\text{ mL}

e

90\% of 80\text{ kg}

f

70\%of 20\text{ km}

g

25\% of 120\text{ L}

h

75\% of \$24

8

Follow the steps in each case to determine the given quantity:

a

75\% of 28.

i

How many groups of 25\% go into 75\%?

ii

What is 25\% of 28?

iii

Hence, find 75\% of 28.

b

140\% of 35.

i

How many groups of 20\% go into 140\%?

ii

What is 20\% of 35?

iii

Hence, find 140\% of 35.

c

28\% of of 175.

i

How many groups of 4\% go into 28\%?

ii

What is 4\% of 175?

iii

Hence, find 28\% of 175.

d

7\% of 300.

i

How many groups of 1\% go into 7\%?

ii

What is 1\% of 300?

iii

Hence, find 7\% of 300.

Percentage comparisons
9

Which is greater:

a

62\% of 38\quad or \quad62\% of 46?

b

27\% of 230\quad or \quad13\% of 230?

c

70\% of 30\quad or \quad250\% of 18?

d

45\% of 180\quad or \quad7\% of 700?

e

13\% of 17\quad or \quad29\% of 13?

f

36\% of 48\quad or \quad24\% of 63?

10
a

When finding a percentage of 82 that is above 100\%, will the result be smaller or larger than 82?

b

When finding a percentage of 82 that is below 100\%, will the result be smaller or larger than 82?

c

Find the following:

i

60\% of 82

ii

120\% of 82

Applications
11

Lisa scored 95\% on her geography exam, which was marked out of 160. What was Lisa's actual mark out of 160?

12

A theatre has a capacity of 3000 people. On the opening night the theatre was 97\% full. On the second night it was 78\% full.

a

How many people attended the theatre on the first night?

b

How many people attended theatre second night?

c

How many people attended the theatre in total during the first 2 nights.

13

A stadium can hold 5000 people. The stadium is 70\% full and 11\% of the audience are children.

a

How many people are there in the stadium?

b

How many children are there in the stadium?

14

Yuri is eating a box of cookies. The nutritional information states that each cookie contains 7\% of his recommended daily intake of sugar.

If his recommended daily intake of sugar is 37\,500\text{ mg}, how many milligrams of sugar does each cookie contain?

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Outcomes

0607C1.8

Percentages including applications such as interest and profit.

0607E1.8

Percentages including applications such as interest and profit.

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