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Find 1/3 of Numbers

In this worksheet, students will find a third of numbers with pictures to help.

'Find 1/3 of Numbers' worksheet

Key stage:  KS 1

Year:  Year 2 Maths worksheets

Curriculum topic:   Number: Fractions

Curriculum subtopic:   Write Fractions

Difficulty level:  

Worksheet Overview

In this activity, we will be looking at how to find a third of a number. 

We can use pictures and we can draw our own pictures to help us to work these out. 

So, let's have a look at the different ways we can find a third of 12. 


Things to remember:

-  A third written as a fraction is 1/3

-  Numerator is the name of the first number (top number) in a fraction, which for 1/3 is 1

-  Denominator is the name of the second number (bottom number) in a fraction, which for 1/3 is 3


girl thinking


Example 1 

Find 1/3 of 12. 

Here we have 12 stars:


 12 stars      


To find 1/3 we need to look at the denominator of the fraction, which is 3. 

This means we need to split the stars into three equal groups. 


 12 stars split into 3 groups 


Here, we have three equal groups of stars - there are four in each group. 

The numerator is one, so we are only looking at one of the groups. 

So 1/3 of 12 is four. 


Example 2 

Find 1/3 of 12. 

Another way to find a third is to draw a picture to help us. 

The denominator in 1/3 is 3, so this means we need to share 12 between three groups. 

We can draw a circle and split it into three parts, then we can share 12 dots between the three groups. 

Share the dots counting them out like this:


6 dots shared into 3 parts  


Keep sharing the dots between the three groups until all 12 have been shared:


There are four dots in each group. 


 12 dots shared into 3 groups 


This also shows us that 1/3 of 12 is four.  


Let's use these methods to help us solve these questions. 


boy counting

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