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Find One Third and One Quarter of a Set of Objects

In this worksheet, students will use pictures to help them work out 1/4 and 1/3 of a set of objects.

'Find One Third and One Quarter of a Set of Objects' worksheet

Key stage:  KS 1

Year:  Year 2 Maths worksheets

Curriculum topic:   Number: Fractions

Curriculum subtopic:   Recognise Fractions

Difficulty level:  

Worksheet Overview

In this activity, we will be finding 1/4 or 1/3 of a set of objects. 

 

1/4 is one quarter

1/3 is one third

 

Let's have a look at how we can do this. 

 

girl thinking

 

1. Finding 1/4 of a set of objects.

Here we have 12 pencils:

 

12 pencils

 

To find 1/4 of these pencils, the first thing we need to do is split them into equal groups. 

We look at the bottom number (the second number) of 1/4 which is 4 - this is how many groups we will be splitting the pencils into. 

 

One way to split pencils into four equal groups is to draw a little picture to help you.

First, draw a circle and split it into four groups:

 

circle split into 4 groups

 

Now we are going to equally share our 12 pencils between the four groups, counting round as we go.

Here is how we count out the first four:

 

 circle split into 4 parts 

 

We have shared the first four equally between the groups, so now count around the next four:

 

 circle split into 4 groups with 8 pencils shared  

 

Keep counting around until you have counted out all 12 pencils:

 

 circle split into 4 parts with 12 pencils shared 

 

We have now counted out all 12 pencils (each line represents a pencil). 

They have been shared equally between four groups. 

How many pencils are in each group? There are three. 

This means that 1/4 of 12 pencils is three pencils. 

1/4 of 12 = 3

 

Now, let's have a look at finding a third. 

 

2. Finding 1/3 of a set of objects.

Here we have 12 pencils:

 

12 pencils

 

To find 1/3 of these pencils, the first thing we need to do is split them into equal groups. 

We look at the bottom number (the second number) of 1/3 which is 3 - this is how many groups we will be splitting the pencils into. 

 

One way to split pencils into three equal groups is to draw a little picture to help you.

First, draw a circle and split it into three groups:

 

 circle split into 3 parts 

 

It doesn't have to be drawn perfectly because it is just a little sketch to help you work out the answer. 

Just as before with finding 1/4, share the 12 pencils into the three groups:

 

 circle in 3 parts with 12 candles 

 

Here we have shared the 12 pencils equally between the three groups. There are four pencils in each group.

This means that 1/3 of 12 pencils is 4 pencils. 

1/3 of 12 = 4

 

Are you ready to tackle some of these questions? 

 

two friends

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