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Worksheets

Fractions, Decimals and Percentages

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

 311\frac{3}{11}  as a decimal is:

a)

0.311

b)

3.11

c)

.27

d)

 0.27‾0.\overline{27}  

2.

The fraction 13\frac{1}{3} as a percentage is:

a)

13%

b)

31%

c)

33%

d)

 331333\frac{1}{3}  %

3.

What is 3.75 as a fraction in simplest form?

a)

375/100

b)

375/1000

c)

15/4

d)

3/20

4.

Write 0.045 as a fraction in simplest form.

a)

9/200

b)

45/1000

c)

9/20

d)

45/100

5.

Select all the rational numbers.

a)

5

b)

0.376543

c)
d)
6.

Write 0.55 as a percentage.

a)

5.5%

b)

555%

c)

0.55%

d)

55%

7.

What is 20% of 50

a)

10

b)

20

c)

15

d)

2

8.
Convert 2/25 from a fraction to a decimal
a)
2.25
b)
.25
c)
.8
d)
.08
9.
Which describes the shaded portion of the figure?
a)
1/2 = 50%
b)
1/6 = 0.166....
c)
1/5 = 25%
d)
1/5 = 20%
10.

The time of 15 seconds out of 2 minutes is

a)

152%

b)

1.25%

c)

12.5%

d)

125%

11.

The water jug shown in the image on the right, has evenly spaced marks on the side. It appears to be:

a)

About 45% full

b)

About 42% empty

c)

About 50% empty

d)

About 36% full

12.

 −125−345=-1\frac{2}{5}-3\frac{4}{5}=  

a)

 −515-5\frac{1}{5}  

b)

 −225-2\frac{2}{5}  

c)

 −525-5\frac{2}{5}  

d)

 −535-5\frac{3}{5}  

13.

Use a calculator to write the following as decimals and classify them as terminating, recurring or irrational:
a) 1101\frac{1}{101}           b)  138\frac{13}{8}          c)  232\sqrt{3}  

4 lines
14.

Write 23% as a decimal.

(a)  

15.

Write 215% as a fraction in simplest form.

(a)  

16.

Write 100 metres as a percentage of 175 metres correct to two decimal places.

(a)  

17.

The value of a house worth $1 800 000 is increased by 12% over the year. Find the value of this house.

(a)  

18.

Find 6% of $250.

(a)  

19.

A sound engineer purchased an antique stereo for $520. After he restored it to its original condition he sold it for $1085.

a) Calculate the profit he made.

b) Calculate the profit as a percentage of the price he originally paid.

4 lines
20.

55% of the residents in a suburb have their newspapers delivered. If the suburb contains 36000 people:

a) How many households have the paper delivered?

b) What percentage of households do not have the paper delivered?

c) Therefore or otherwise, calculate how many households do not have the paper delivered.

4 lines