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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

\dfrac{67.2}{24}

h

0.07\%

i

0.65\%

j

736.5\%

k

303\%

l

51\% \times 83\%

m

70\% of 617

n

135\% \times 24.6

o

\dfrac{3}{4} of 65.86

p

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
\dfrac{40}{50}
h

0.411

i

0.876

j

\dfrac{93}{150}

k

\dfrac{21}{35}

l

1.1

m

\dfrac{3}{8}

n

\dfrac{9}{22}

o

\dfrac{97}{250}

p

899 out of 725

q

5.9 out of 0.32

r

76 out of 91.2

s

44 out of 64

3

Express 27.11\% as a fraction in simplest form.

4

Express 784\% as a fraction. Give your answer as a simplified mixed number.

5

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.

6

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.

7

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.

8

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

9

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

10

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

Applications
11

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

12

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.

13

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.

14

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.

15

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

16
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

1.1.3

understand the meaning and magnitude of numbers involved, including fractions, percentages and the significance of place value after the decimal point

1.1.8

convert between fractions, decimals and percentages, using a calculator when appropriate

1.1.12

use a calculator appropriately and efficiently for multi-step calculations

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