This is a simple maths exercise worksheet based on fractions. It has TEN exercises for you to work through in your own time. The answers are also attached. This worksheet is related to the NinetyEast tutorial available here: http://www.ninetyeast.net/maths/foundation/numbers/fractions The tutorial covers what fractions are, why we use them, and how to write them. Once you've done this worksheet, why not move to the next tutorial about how to simplify fractions?

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Fractions - Worksheet
This is the complimentary worksheet for this tutorial. Below are ten different exercises for you to work
through in your own time, with answers on the following pages for you to check your answers against.
Exercises
1. A cake is cut into ten pieces. You eat one piece. Express how many pieces you've eaten as a
fraction.
2. There are twenty-eight people in your class. Express what fraction you make up of the class.
3. There are 30 houses on Tuvalu Street, 14 on the right hand side and the rest on the left hand side.
Express how many houses are on the left hand side of Tuvalu Street as a fraction of the total number
of houses.
4. It takes 1 hour to fly from Melbourne to Sydney. Express this as a proportion of the total number of
hours in the day.
5. There are 14 apples in a bowl. You take three apples. Express how many apples are left as a
fraction.
6. There are five languages spoken in your country, of which you speak two. Express how many
languages you speak as a fraction of the total number of languages spoken in the country.
7. There are six states and two territories in Australia. Express the number of states and the number
of territories, each as a fraction as the total number of states and territories.
8. A person weighing 65 kg gets sick and loses 5 kilos. Express their weight loss as a fraction of their
initial weight.
9. There are sixty people in a children's' choir. There are 44 boys in this choir. Express the proportion
of girls as a fraction of the entire choir.
10. A person is 32 years old. They are likely to live to 84 years old. Express how old they are as a
fraction of how long they're likely to live.

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Answers
1. A cake is cut into ten pieces. You eat one piece. Express how many pieces you've eaten as a
fraction.
1
/10
2. There are twenty-eight people in your class. Express what fraction you make up of the class.
1
/28
3. There are 30 houses on Tuvalu Street, 14 on the right hand side and the rest on the left hand side.
Express how many houses are on the left hand side of Tuvalu Street as a fraction of the total number
of houses.
16
/30
4. It takes 1 hour to fly from Melbourne to Sydney. Express this as a proportion of the total number of
hours in the day.
1
/24
5. There are 14 apples in a bowl. You take three apples. Express how many apples are left as a
fraction.
11
/14
6. There are five languages spoken in your country, of which you speak two. Express how many
languages you speak as a fraction of the total number of languages spoken in the country.
2
/5
7. There are six states and two territories in Australia. Express the number of states and the number
of territories, each as a fraction as the total number of states and territories.
States:
6
/8
Territories:
2
/8

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8. A person weighing 65 kg gets sick and loses 5 kilos. Express their weight loss as a fraction of their
initial weight.
5
/65
9. There are sixty people in a children's' choir. There are 44 boys in this choir. Express the proportion
of girls as a fraction of the entire choir.
16
/60
10. A person is 32 years old. They are likely to live to 84 years old. Express how old they are as a
fraction of how long they're likely to live.
32
/84