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CanadaON
Grade 7

4.02 Percentages of quantities

Worksheet
Percentages of quantities
1

Consider the task of finding 15\% of 6 hours:

a

Calculate the minutes in 6 hours.

b

Find 10\% of the answer for part (a).

c

Find 5\% of the answer for part (a).

d

Hence, find 15\% of 6 hours, in minutes.

2

Suppose we want to find 75\% of 28.

a

How many lots of 25\% are in 75\%?

b

What is 25\% of 28?

c

Find 75\% of 28.

3

Suppose we want to find 28\% of 175.

a

How many lots of 4\% are in 28\%?

b

What is 4\% of 175?

c

Find 28\% of 175.

4

Suppose we want to find 15\% of 160.

a

Write 15\% as a simplified fraction.

b

Find 15\% of 160.

5

Explain how you could find 35\% of \$280 without a calculator.

6

Find the following:

a

10\% of 90

b

20\% of 45

c

1\% of 900

d

2\% of 400

e

90\% of 20

f

7\% of 300

g

45\% of 200

h

60\% of 30

i

86\% of 5000

j

50\% of 5200

k

25\% of 120

l

80\% of 30

m

30\% of 6000

n

11\% of 5200

o

25\% of 140

7

Find the following:

a

50\% of 420 \text{ cm}

b

7\% of 30 \text{ kg}

c

700\% of 30 \text{ kg}

d

94\% of 4000 \text{ km}

8

Which is greater:

a

70\% of 30\quad or \quad 90\% of 18?

b

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

Applications
9

Lisa scored 95\% on her Geography exam, which was marked out of 200. What was Lisa's actual mark out of 200?

10

A stadium can hold 5000 people. The stadium is 60\%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?

11

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\,000\text{ mg}, how many milligrams of sugar does each cookie contain?

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Outcomes

7.B2.1

Use the properties and order of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and percents, including those requiring multiple steps or multiple operations.

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