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2.02 Use a calculator with percentages

Worksheet
Calculators with percentages
1

Express the following as decimals:

a

10\%

b

38.76\%

c

82.9\%

d

0.075\%

e

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

f

9.25\%

g

51\% \times 83\%

h

70\% of 617

i

135\% \times 24.6

j

\dfrac{67.2}{24}

k

\dfrac{3}{4} of 65.86

l

72\% \div 3

2

Express the following as percentages:

a

0.61

b

0.4

c

\dfrac{15}{8}

d

\dfrac{581}{700}

e

\dfrac{291}{485}

f

\dfrac{357}{680}

g

44 out of 64

h
\dfrac{40}{50}
i

899 out of 725

j

5.9 out of 0.32

k

76 out of 91.2

3

Express 27.11\% as a fraction in simplest form.

4

Consider the following group of numbers:\dfrac{1}{4}, \, 80\%, \, 0.7

a

Rewrite the group as percentages

b

Hence, write the numbers in ascending order.

5

Consider the following statement:

\dfrac{67}{50} >154\%
a

Convert \dfrac{67}{50} to a percentage.

b

Hence, state whether the statement is true or false.

6

Consider the following group of numbers:

56\%, \, \dfrac{5}{7}, \, \dfrac{8}{1000}, \, 0.9, \, 0.91, \, 50.8\%

a

State the number which has the largest value.

b

State the number which has the smallest value.

c

State the number which has a value closest to 0.5.

7

Calculate:

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

8

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

9

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

Applications
10

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

11

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.

12

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.

13

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.

14

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

15
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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