Finding a quarter of an amount

Part ofMathsFractionsYear 1

A girl pointing

What is a quarter?

A quarter is when something has been split into four equal parts.

You can find a quarter of a shape, measure or a quantity.

There are four quarters in a whole.

A girl pointing
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Quiz: Finding a quarter of an amount

Why not see how much you know about this topic already? Then complete the guide and see if you can beat your score.

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Find a quarter of an object

Harry, Betty, Isma and Charlie want to share a pizza. How could they slice the pizza so they each get an equal piece?

An illustration of 4 kids and a pizza.

There are four children so they need to cut it into four pieces.

If they cut the pizza like this, they will each get an equal piece, or a quarter.

A pizza cur horizontally and vertically to make 4 equally sized pieces.
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Finding a quarter of an amount

Here are some apples. Can you count how many there are?

8 different colour apples in a row.

There are 8 apples in total.

To find a quarter, you have to split the 8 apples into 4 equal groups.

8 apples arranged in 4 equal groups. 2 apples in each group

Can you see how the apples have been split into 4 equal parts?

Each of these parts represents one quarter.

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Writing a quarter

Look at this bar model. This bar model has been divided into four equal parts. One part has been shaded.

A bar model showing 4 equal parts with 1 part shaded.

So, you could say that this bar model shows one quarter.

You could also write this as a fraction, like this \( \frac{1}{4} \).

The number on the bottom shows you how many equal parts of the whole there are (4).

The number on top shows you how many parts you have (1).

Here are some different ways to represent or write one quarter.

One-quarter shown as a bar model, written as 'one-quarter' and written as a fraction 1/4 (or one over 4).
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Finding a quarter of a number

Let's look at another example.

This time we will use some cubes and a bar model to help us.

Image gallerySkip image gallerySlide1 of 6, 12 cubes arranged in a row, Here are 12 cubes. We are going to use them to work out what one-quarter of 12 is.
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Example

Charlie has a box of doughnuts. There are 8 doughnuts in a box.

8 doughnuts in a box

Charlie wants to find a quarter of the doughnuts. He says that you can find a quarter, if you find a half and then halve it again?

Is Charlie correct?

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