Year 8 Fractions Test Name: _________________________

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Year 8 Fractions Test

Multiple Choice: Circle the correct answer

1

Name: _________________________

18 marks

23

1.

Which is the correct set of words for

100

A. Twenty – three tenths

B. Twenty – three hundredths

C. One hundred and twenty-three tenths

D. Twenty-three thousandths

2.

Which pair of fractions below has the same numerator but different denominators?

A

2

3

and 4

5 B

2

5

and 4

5 C

2

3

and 2

5 D

1 2

3

and 2 4

5

3.

Which triangle does NOT have exactly half shaded

A. B. C. D.

4.

Mick cut all these oranges into quarters. How many quarters did he end up having?

A. 4 B. 5 C. 10

5.

Which fraction has a different value?

A.

1

2

B.

2

4

6.

How many pizzas are shown?

C.

3

6

D. 20

7

D.

10

A.

1

2 B.

3

3

2

4

C.

1

3

4

D.

1

3

3

2

7.

The circles are in a regular square pattern. Some of the circles are hidden by the card. What fraction of the circles is hidden?

1

A.

2

1

B.

3

8.

3

1

3 hours = ? minutes

A. 200 B. 210

3

9.

What is

10

of $80?

A. $8 B. $10

1

C.

4

C. 303

C. $24

D.

1

5

D. 320

D. $30

10.

Which set of numbers is in ascending order?

A

2

3

, 1

2

, 5

6

B

2

3

, 5

6

, 1

2

C

1

2

, 2

3

, 5

6

D

5

6

, 2

3

, 1

2

11.

Chose the fraction which represents the largest amount:

A

6

5

B

5

7

C

5

8

12.

The fraction of the diagram which is shaded is :

D

9

5

A

1

5

B

4

5

C

1

6

D

5

6

3

13.

How many different fractions are there between

2

5 and

5

3

?

B One C A few D Lots A None

14.

The 1

1

2

2

3

4

is equal to

A.

1

1

4

B.

1

3

4

C.

1

4

4

D.

1

4

2

15.

The following form a number pattern 5 , 4

1

4

, 3

1

2

,......

what is the next number in the sequence?

A. 2

1

4

B. 2

1

3

C. 2

3

4

D. 3

3

4

16.

A computer game was priced at $40. Its price has been reduced by a quarter. What is its price now?

A. $15 B. $30 C. $36 D. $40

17.

Georgia spent

1

2 an hour playing netball and

3

4 of an hour playing soccer. How long in total did she spend playing the two sports?

A. 1 hour B. 1

1

4

hours C. 1

3

4 hours D. 2 hours

18.

Find

9

25

=

3

A.

25

B.

9

25

3

C.

5

9

D.

15

4

Part A: Conceptual Understanding

1.

Circle the shapes that have been divided in halves:

8 marks

2.

Shade each shape to match the fraction given: a.

8

8

b.

3

5

c.

1

3

d.

5

3

3.

What fraction of the shape is shaded? _____________

4.

This is half a ribbon, draw a whole ribbon.

5.

This is 1

1

3

of a ribbon, draw a whole ribbon.

5

6.

There are 2 chocolate bars to share among Paige, Jess and Jade. Partition the chocolate bars below to show how much each girl gets?

7.

This is

3

5

of a set of marbles. Draw the whole set of marbles.

8.

This is 2

1

2

of a set of marbles. Draw the whole set of marbles.

Part B: Number Lines

1.

Show 1

1

4 on the number line.

7 marks

2.

What number could be shown at B on the number line below? _______

3.

Write a number that is between

1

2

and 1. __________

4.

Is

1

4

closer to 0 or 1 ? __________

6

5.

Round

3

4

to the nearest whole number. __________

6.

Round 1

3

8

to the nearest whole number. __________

7.

What number does the arrow point to on the number line? _________

Part C: Operations

1.

Fill in the missing numbers a.

3

4

4 _____ b.

5

8

_____

5 c.

2

_____

2

3 working space

2.

Simplify 12 fifths

2

3.

Simplify

10

1

-

10

4.

Simplify 1

1

2

1

4

1

5.

Find

3

of 21

___________

_____________

________________

_____________

7

6.

Simplify 3

2

3

+ 1

1

6

2

7.

Simplify 1

5

- 3

2

3

8.

Simplify

2

3

÷

1

6

____________

____________

____________

9.

Simplify 2

3

4

÷ 1

2

3

_____________

10.

How many thirds in 5? _____________

11.

Find 1

7

8

x 2

2

5

12.

Simplify

14

10

4

2

_____________

_____________

8

Part D: Applications

1.

10c is what fraction of $1?

3

2.

33 is

10

, what is a whole?

3.

Brodie uses 15 litres of water every minute when he has a shower. He uses 100 litres of water when he has a bath. How many litres of water does he save by having a 3

1

2 minute shower?

4.

When a kettle is full of water it has a mass of 2900 grams. When the kettle is half full of water is has a mass of 2050 grams. What is the mass of the kettle when it is empty?

5.

An amount is increased by a quarter of the original amount. The result is 125. What was the original amount?

6.

The Tigers have had a miracle and increased their previous goal total by two thirds.

Their new total is 25 goals. How many goals did they increase by?

7.

A ticket to watch the wonderful Sydney Swans for one adult costs $24. A ticket for a school student is three quarters of the cost of an adult. Because I am a swanderful teacher I buy tickets for 3 students as well as myself, how much change would I get from $100?

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