Unit 10 Section 3 : Fractions of Quantities

In this section we begin to use fractions in a more practical way.

Example Questions

(a) Find
1
of £30
5
(b) Find
4
of £30
5
To find one fifth of a number we divide the number by five.
Then, to find four fifths of a number, we first find one fifth of that number and then multiply this by four.
Look at the working in the box below.

Practice Question
Work out the answer to this question then click on Click on this button below to see the correct answer to see whether you are correct.

What is
3
of 28?
4

 

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the Click this button to see if you are correct button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on Click on this button to see the correct answer to see the answer.

Question 1
Work out:

(a)
1
of 12
2
(b)
1
of 8
4
(c)
1
of 15
5
(d)
1
of 12
3
(e)
1
of 30
5
(f)
1
of 40
4
(g)
1
of 14
7
(h)
1
of 64
8
(i)
1
of 40
8
(j)
1
of 24
3
(k)
1
of 32
4
(l)
1
of 36
9

Question 2
Work out:

(a)
3
of 24
4
(b)
4
of 20
5
(c)
3
of 14
7
(d)
2
of 18
9
(e)
5
of 30
6
(f)
4
of 28
7
(g)
3
of 15
5
(h)
7
of 45
9
(i)
3
of 64
8
(j)
5
of 36
9
(k)
3
of 45
5
(l)
7
of 56
8

Question 3
In a test there are 30 marks. Nasir gets
3
of the marks.
5

How many marks does he get?

Question 4
In a school
1
of the pupils are girls. There are 382 pupils in the school.
2

How many girls are there in the school?

Question 5
In a class there are 32 pupils. Of these,
3
come to school by bus.
8

How many pupils come to school by bus?

Question 6
In a school,
3
of the pupils have pets. There are 510 pupils in the school.
10

(a) How many of them have pets?

(b) How many of them do not have pets?

Question 7
There are 20 houses in a street and
3
of them have satellite TV.
4

How many of these houses do not have satellite TV?

Question 8
Rachel has 360 stamps in her stamp collection. 
5
of these stamps are foreign.
8

How many foreign stamps does she have?

Question 9
Ben and Chris sell some toys at a car boot sale for £45. They agree that Ben will have
2
of the money and Chris the rest.
5

How much does Ben get?
£
How much does Chris get?
£

Question 10
In a school there are 550 pupils. 
3
of the pupils are left-handed.
50

How many left-handed pupils are there in the school?

You have now completed Unit 10 Section 3
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Produced by A.J.Reynolds January 2001