Fractions Worksheets

## How much is Shaded? (Circles)

Fractions in this worksheet are

represented as circles divided into sectors. The task is to work out what

fraction of each circle has been shaded.

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## How far along each line are the arrows?

Each fraction on

this worksheet is shown using an arrow above a point on a straight

line.

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## Oblong Fractions

The task here is to work out what fraction of each oblong has been shaded.

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## Pie Shading

29 circles need to be shaded in order to

represent given fractions.

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## Polygon Fractions

This worksheet shows 20 partially shaded polygons. The task is to work out what fraction of each polygon has been shaded.

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## Coordinates and Fractions Game

This can be used as a

fast paced warm up game. Fractions are represented by 35 partially shaded

circles and are arranged on a coordinates grid. Percentage or decimal

related questions might also be asked.

## Improper Fractions

24 illustrations (pies and slices) provide a visual representation of improper fractions. As an extra activity, learners can also give their answers as mixed fractions (also known as mixed numbers).

## Mixed Fractions

Mixed fractions are illustrated here as points on a line. Answers may also be given as improper fractions.

## Shading Blocks

This worksheet gives learners practice in finding fractions of whole number quantities represented by blocks of squares. This may also provide an opportunity to explore and discuss equivalent fractions.

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## Equivalent Fractions 1

The task here is to find fractions of small numbers represented by groups of shapes. Learners can then simplify the answers as far as possible.

## Equivalent Fractions 2

On this worksheet, learners shade in circles or blocks to visually illustrate equivalent fractions.

## Changing Fractions | Worksheet 1 (Circles)

This worksheet is designed to help learners reinforce their concept of equivalent fractions by dividing sectors of partially shaded circles.

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## Changing Fractions | Worksheet 2 (Rectangles)

This worksheet is like the one above, but this time the task is to divide rectangles.

## Equivalent Fractions 3

This worksheet allows learners to demonstrate their understanding of equivalent fractions by shading in a range of shapes.

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The following 3 worksheets use lines to demonstrate the idea of fractions of whole number quantities:

## Unusual Linear Scales 1

12 linear scales aimed at those familiar with the 2, 5 and 10

multiplication tables

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## Unusual Linear Scales 2

12 linear scales aimed at those familiar with the 3, 4 and 6

multiplication tables

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## Unusual Linear Scales 3

12 linear scales aimed at those familiar with the 7, 8 and 9

multiplication tables

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These worksheets use dials to show fractions of whole number quantities:

## Unusual Dials (Volume)

20 dials, each with 8 intervals

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## Unusual Dials (Weight)

20 dials, each with 10 intervals

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## Unusual Dials (Temperature)

20 dials, each with 12 intervals

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## Fractions of whole numbers | 1

30 questions e.g. 1/2 x 10.

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## Fractions of whole numbers | 2

30 questions e.g. 4/5 x 55.

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## Loop | Fractions of whole numbers | a

## Loop | Fractions of whole numbers | b

Cut up along the DOTTED lines only.

You should now have 32 rectangles (16 from each sheet).

The rectangles are given out so each player has at least one each.

Encourage the players to look at the number on the left of their rectangles and consider what questions might give their number.

Any player can start by reading aloud the ‘question part’ on the right of their rectangle.

If another player has the answer on their card they call it out, and then ask their question.

This continues until the loop ends when the player who asked the first question gives the answer to the very last question.

Tips:

It’s worth printing out two extra sheets just so you can keep track!

For smaller groups some players may be given 2 or more rectangles, or if you prefer the loop itself may be shortened with a little cutting and sticking.

## Simplifying Fractions | Worksheet 1

30 fractions (e.g. 5/15) need to be written in their simplest form

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## Simplifying Fractions | Worksheet 2

30 more fractions (e.g. 81/90) need to be written in their simplest form

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## Adding fractions with the same denominator

20 questions e.g. 4/5 + 3/5

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The following 2 worksheets allow learners to practice adding fractions with different denominators:

## Adding Fractions | Worksheet 1

20 questions e.g. 1/8 + 1/4

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## Adding Fractions | Worksheet 2

20 questions e.g. 1/3 + 1/12

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## Mixed Fractions | Addition

Here are 20 questions involving mixed fractions with different denominators e.g. 2 11/12 + 2/3

These worksheets give learners practice subtracting fractions with different denominators:

## Subtracting Fractions | Worksheet 1

20 questions e.g. 3/4 – 1/2

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## Subtracting Fractions | Worksheet 2

20 questions e.g. 5/12 – 1/6

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## Multiplication of Fractions

20 questions e.g. 1/2 x 5/6.

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Hopefully this mnemonic will come in handy when demonstrating the algorithm…

##
“A fraction divided by a fraction? Turn right around to multiplication!”

## Dividing Fractions

20 questions e.g. 1/4 รท 1/10.

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## Changing Fractions into Decimals (and vice versa)

This worksheet has 2 sections. The first tests learners’ ability to change fractions into decimals. The second section allows learners to show that they can change decimals into fractions.

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**Note: There are many different

ways to correctly shade in the shapes.

These are not the only “answers”.