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CanadaON
Grade 7

4.03 Percentages and decimals with technology

Worksheet
Decimal calculations
1

Use a calculator to evaluate the following:

a

0.96 \times 0.76

b

7.4 \times 0.065

c

4780 \times 3.58 \times 0.922

d

0.086 \div 8.4

e

1.36 \times 0.65 \div 2

f

83 \times (0.12 + 0.013)

g

12.4 \div 0.58 \div 0.844

h

52.3 \div (0.47 \times 78)

2

Use a calculator to convert the following fractions into decimals, rounded to three decimal places:

a

\dfrac{3}{0.29}

b

\dfrac{8.79}{40.5}

c

\dfrac{11}{125}

d

\dfrac{31}{16}

e

\dfrac{379}{512}

f

\dfrac{22.5}{8.8}

g

\dfrac{2.6}{65}

h

\dfrac{4.62}{15}

Percentage calculations
3

Use a calculator to express the following as percentages:

a

\dfrac{15}{8}

b

\dfrac{581}{700}

c

\dfrac{291}{485}

d

\dfrac{357}{680}

e

44 out of 64

f

899 out of 725

g

5.9 out of 0.32

h

76 out of 91.2

4

Use a calculator to convert the following into decimals:

a

\dfrac{33\,100}{25}\%

b

9.25\%

c

51\% \times 83\%

d

70\% of 617

e

135\% \times 24.6

f

\dfrac{67.2}{24}

g

\dfrac{3}{4} of 65.86

h

72\% \div 3

5

Use a calculator to find the following:

a

23\% of \dfrac{54}{17}

b

91.6\% of 97.3

c

317\% of \dfrac{23.6}{8}

d

126\% of 87.2

e

209\% of \dfrac{29}{22}

f

47.3\% of 1.764

6

Use a calculator to determine x in each of the following:

a

70\% of x is equal to 42.7

b

60\% of x is equal to 39.54

c

60.1\% of x is equal to 24.04

d

46\% of x is equal to 35.88

7

Give some examples of when it might be quicker not to use a calculator in percentage calculations.

Applications
8

The 64 girls at Victoria's party represent 80\% of all the guests. Find the total number of guests at the party.

9

Find the 13\% HST on the price of a dress that was originally \$160.

10

A city has a yearly water supply of 27\,000\,000 megalitres. It gets 14\% of this water supply from melted snow. Find the amount of water that comes from melted snow each year.

11

A bag of potatoes weighs 50\text{ kg}. When more potatoes are added, the weight of the bag increases by 35\% find the new weight of the bag of potatoes.

12

Duncan is going to buy a hat that is marked as 25\% off. The original price was \$30.

a

Find the discount amount.

b

Find the discounted price that Duncan will pay for the hat.

13

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

14
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.
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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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