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Worksheets

Ratio and Proportion

Total questions: 90

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
2.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
3.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
4.
For every 3 cups of rice you need 2 cups of water, if you use 12 cups of rice, how much water will you need.
a)
4
b)
8
c)
24
d)
6
5.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
6.
Every 7 days, you work 40 hours. How many hours do you work over 30 days?
a)
52.5
b)
4.75
c)
171.4
d)
8.5
7.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
8.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
9.
Which rate of change represents the graph shown?
a)
80 mile per hour
b)
2 hours per mile
c)
40 miles per hour
d)
60 miles per hour
10.
What is it called when two or more of the same units are being compared?
a)
Rate
b)
Ratio
c)
Proportion
d)
Unit Rate
11.
What is it called when two different units are being compared?
a)
Rate
b)
Ratio
c)
Proportion
d)
Unit Rate
12.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

2/3

c)

1/3

d)

10/16

13.

Is this graph proportional

a)

No

b)

Yes

c)

I have no idea

d)

Maybe

14.

How do you tell if a graph is proportinal?

a)

It goes through the origin in a straight line

b)

It goes in a zigzag

c)

Idk

d)

It goes in a swirl

15.

3:4 =15:20 True or False?

a)

False

b)

True

c)

Why you asking me?

16.

What is a ratio?

a)

I don't care

b)

A number that can be written as a fraction

c)

Why you asking me

d)

A number line

17.

Simplify 36 : 54 : 72.

a)

2 : 3 : 4

b)

2 : 4 : 9

c)

3 : 4 : 9

d)

3 : 6 : 8

18.

If a : b = 4 : 7 and b : c = 3 : 5, find a : b : c.

a)

12 : 20 : 35

b)

12 : 35 : 28

c)

12 : 21 : 35

d)

20 : 21 : 28

19.

Given that x : y = 2 : 5 and y : z = 9 : 7, find x + z.

a)

11

b)

12

c)

59

d)

80

20.

If a : b = 4 : 5, a : d = 2 : 3 and d : c = 4 : 3, find a : b : c : d.

a)

4 : 5 : 12 : 9

b)

6 : 10 : 12 : 9

c)

8 : 12 : 9 : 10

d)

8 : 10 : 9 : 12

21.

If 30 : 38 = 27 : x, what is the value of x?

a)

16.5

b)

20.8

c)

34.2

d)

42.7

22.

The ratio of nurse to patient is 5 : 37. How many nurses are needed to take care 629 patients?

a)

79

b)

85

c)

90

d)

95

23.

A school has a total of 3,300 students. The ratio of female to male students is 4 : 7. How many female students are there?

a)

1,180

b)

1,200

c)

2,000

d)

2,100

24.

The length of a square is 5 cm. What is the ratio of the length to the area of this square?

a)

1 : 3

b)

1 : 5

c)

5 : 3

d)

5 : 1

25.

The ratio of the sides of a triangle is 2 : 3 : 5. The shortest side of the triangle is 15 cm. How long is the longest side?

a)

27.5 cm

b)

37.5 cm

c)

47.5 cm

d)

57.5 cm

26.

Nat, Nid and Nut are given money in the ratio of 3 : 5 : 7. If Nat and Nut receive 3,500 Baht, how much money does Nid receive?

a)

1,050 Baht

b)

1,500 Baht

c)

1,750 Baht

d)

2,450 Baht

27.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
28.
In a theme park for 6 people the ticket cost £39. How much does it cost for 9 people?
                             
a)
£45.8
b)
£48
c)
£58.50
d)
£52.60
29.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
c)
dont know
d)
none of these
30.
A shop had 4 blue chairs for £73.48 and 5 red chairs for £91.40. Write the cost of one chair of each colour ?
a)
blue = £18.37 , red = £18.28
b)
blue = £18.37, red = £18.46
c)
blue = £18.58, red = £18.28
d)
blue = £18.58, red = £18.63
31.
Which is the better deal?
Doritos
£4.20 for 10kg
OR
Cheetos
£4.80 for 12kg
a)
Doritos
b)
Cheetos
32.
An eight pack of juice boxes cost £4.81, and a twelve pack of juice boxes cost £6.48. Which is a better buy?
a)
8 pack
b)
12 pack
c)
They have the same unit price
33.
Which of these ratios is equivalent to 3:4?
a)
12:9
b)
9:20
c)
9:12
d)
803:804
34.
Josh bought a pizza with eight slices of pizza for £12. What is the cost of a slice of pizza?
a)
£12
b)
£1.50
c)
£3
d)
£1
35.
a)
1
b)
3
c)
12
d)
2
36.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
37.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
38.
75 is 15% of what number?
a)
500
b)
20
c)
350
d)
425
39.
Tickets to Disney World are £100.The price is going to increase on January 1st. What is the percent of change if the cost increases to a £120?
a)
25%
b)
18%
c)
20%
d)
50%
40.
Find the unit rate of the ratio below:
30 cm of snow in 6 hours
a)
6 cm of snow per hour
b)
30 cm of snow per hour
c)
5 cm of snow per hour
d)
3 cm of snow per hour
41.
Paige rode her bike 4/5 mile. Megan rode her bike 3/4 mile.   Which statement is true?
a)
4/5 = 3/4
b)
4/5 > 3/4 
c)
3/4 > 4/5
d)
4/5 < 3/4 
42.
A recipe for a pizza that serves 5 people is as follows:
500g pizza dough
36g tomato puree
225g cheese
106g salami
What is the recipe for 2 people?
a)
200g pizza dough
7.2g tomato puree
90g cheese
21.2g salami
b)
150g pizza dough
14.4g tomato puree
90g cheese
42.4g salami
c)
200g pizza dough
14.4g tomato puree
80g cheese
42.4g salami
d)
200g pizza dough
14.4g tomato puree
90g cheese
42.4g salami
43.
The scales have 3 pink cubes on one side and 5 purple cubes on the other.
If 2 pink cubes = 1.84kg, how much do 3 purple cubes weigh?
a)
1.651
b)
1.656
c)
0.546
d)
2.73
44.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
45.
Bonus question!
If my bus departs from Liverpool at 12:49 and arrives in Leeds at 14:03, how long was my journey?
a)
2 hours 14 minutes
b)
1 hour 14 minutes
c)
1 hour 34 minutes
d)
1.3 hours
46.
Bonus question!
What is 3.85 hours in minutes?
a)
252
b)
218
c)
221
d)
231
47.

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?

a)

20

b)

10

c)

5

d)

2

48.

One jar of crushed ginger costs $2. How many jars can you buy for $4?

a)

2

b)

6

c)

8

d)

10

49.

One cantaloupe costs $2. How many cantaloupes can you buy for $6?

a)

2

b)

3

c)

6

d)

12

50.

One package of blueberries costs $3. How many packages of blueberries can you buy for $9?

a)

27

b)

12

c)

3

d)

9

51.

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

a)

1 in

b)

2 in

c)

3 in

d)

4 in

52.

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for

$2. How many Tala would she get if she exchanged $6?

a)

12 Tala

b)

14 Tala

c)

16 Tala

d)

18 Tala

53.

Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?

a)

10

b)

8

c)

6

d)

4

54.

If you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?

a)

40

b)

24

c)

16

d)

3

55.

One bunch of seedlees black grapes costs $2. How many bunches can you buy for $20?

a)

10

b)

8

c)

6

d)

4

56.

The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinars. Find how many dollars you would receive if you exchanged 22 Dinars.

a)

$44

b)

$33

c)

$22

d)

$11

57.

Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?

a)

3

b)

6

c)

9

d)

12

58.

Jenny was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is 4 Dirhams for every $1. How many Dirhams would she get if she exchanged $5?

a)

10 Dirhams

b)

20 Dirhams

c)

30 Dirhams

d)

40 Dirhams

59.

Castel bought four bunches of fennel for $9. How many bunches of fennel can Mofor buy if he has $18?

a)

2

b)

4

c)

6

d)

8

60.

If you can buy one fruit basket for $30 then how many can you buy with $60?

a)

1

b)

2

c)

3

d)

4

61.

Molly bought two heads of cabbage for $1.80. How many heads of cabbage can Willie buy if he has $28.80?

a)

30

b)

31

c)

32

d)

33

62.

Totsakan enlarged the size of a photo to a height of 18 in. What is the new width if it was originally 2 in tall and 1 in wide?

a)

3 in

b)

9 in

c)

18 in

d)

12 in

63.

The money used in Saudi Arabia is called the Riyal. The exchange rate is 4 Riyals to $1. Find how many Riyals you would receive if you exchanged $5.

a)

10 Riyals

b)

15 Riyals

c)

20 Riyals

d)

25 Riyals

64.

The currency in Bolivia is the Boliviano. The exchange rate is approximately $1 = 8 Bolivianos. At this rate, how many Bolivianos would you get if you exchanged $3?

a)

12 Bolivianos

b)

18 Bolivianos

c)

24 Bolivianos

d)

30 Bolivianos

65.

The money used in Poland is called the Zlotych. The exchange rate is 3 Zlotych for every $1. Find how many Zlotych you would receive if you exchanged $3.

a)

3 Zlotych

b)

6 Zlotych

c)

9 Zlotych

d)

12 Zlotych

66.

The money used in Malaysia is called the Ringgit. The exchange rate is 4 Ringgits to $1. Find how many dollars you would receive if you exchanged 12 Ringgits

a)

$3

b)

$4

c)

$5

d)

$6

67.

Simplify the ratio below.


4:8

(a)  

68.

Simplify the ratio below.


3:12

(a)  

69.

Simplify the ratio below.


7:56

(a)  

70.

Simplify the ratio below.


3:20

(a)  

71.

Simplify the ratio below.


8:2

(a)  

72.

Simplify the ratio below.


10:100

(a)  

73.

Simplify the ratio below.


9:24

(a)  

74.

12:45

(a)  

75.

8:25

(a)  

76.

33:11

(a)  

77.

Find the value of N.


2:8 = N:12

(a)  

78.

Find the value of N.


N:3 = 10:15

(a)  

79.

Find the value of N.


5:12 = 10:N

(a)  

80.

Find the value of N.


6:N = 72:12

(a)  

81.

Find the value of N.


9:2 = 27:N

(a)  

82.
In a class there are 30 boys and 12 girls. Find the ratio of number of boys to number of girls.
a)
2 : 5
b)
5 : 2
c)
3 : 4
d)
None of the above
83.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
84.
a)
3
b)
4
c)
5
d)
1
85.
Which ratio is greater?
3 : 4 or 5 : 6
a)
3 : 4
b)
5 : 6
86.
Identify the number in the blank:
7 kg : _____kg = 14 m : 6 m 
a)
3
b)
6
c)
4
d)
2
87.
Write 'True' or 'False'.
6 : 8 and 9 : 12 are equivalent ratios of 3 : 4
a)
TRUE
b)
FALSE
88.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
89.
a)
1
b)
3
c)
12
d)
2
90.
Solve the proportion.
a)
18
b)
3
c)
2
d)
9