wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Proportional Relationships

Total questions: 75

Worksheet time: 3hrs 16mins

Name
Class
Date
1.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
2.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
3.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
4.
A job pays $56 for 8 hours of work.  How much money does the job pay per hour?
a)
$7 per hour
b)
$8 per hour
c)
$6 per hour
d)
$7.50 per hour
5.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
6.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
7.

Samantha drives at a rate of 30 mph. Tracy drives at a rate of 60 miles every 2 hours. Who drives faster?

a)

Samantha

b)

Tracy

c)

They drive the same speed per hour

8.

Evan bought 5 pounds of bananas for $10. How much did he pay per pound?

a)

$.50 per pound

b)

$5 per pound

c)

$2 per pound

d)

$10 per pound

9.
Which statement best describes the relationship of x and y in the table?
a)
Proportional
b)
Not Proportional
10.
Is this table proportional?
a)
yes
b)
no
c)
I'm not sure, I need extra help!
11.
Does the table show a proportional relationship?
a)
Yes
b)
No
12.
This is a table with a proportional relationship between A and B.  Find the missing value of B. 
a)
33
b)
44
c)
32
d)
48
13.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
14.
What is the constant of proportionality?
a)
15
b)
5
c)
75
d)
25
15.
Is the given table a proportional relationship? If so, what is the constant of proportionality?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
16.
What is the constant ratio or constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
17.
Which table shows a proportional relationship?
a)
A
b)
B
c)
C
d)
D
18.
Does this table represent a proportional relationship?
a)
Yes
b)
No
19.

Which statement best describes the relationship between x (dogs) and y(paws) in the table?

a)

Proportional

b)

Not Proportional

20.
Is this table proportional?
a)
Yes
b)
No
21.
Is this table proportional?
a)
Yes
b)
No
22.
Does the table show a proportional relationship?
a)
Yes
b)
No
23.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
24.
Determine the missing value in the table. 
a)
15
b)
3
c)
1/3
d)
9
25.
Determine if the linear relationship is proportional or nonproportional. 
a)
Proportional
b)
Nonproportional
c)
Neither
26.
Does the table represent a proportional relationship?
a)
yes
b)
no
27.
Does the table represent a proportional relationship?
a)
yes
b)
no
28.
The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.
a)
The table is not proportional because the unit rate is not constant.
b)
The table is proportional and the unit rate is 1/13
c)
The table is proportional and the unit rate is 13.
d)
The table is not proportional because it doesn't pass through the origin.
29.

What ratio is equivalent to 4:5? Select all that apply.

a)

8:10

b)

20:25

c)

5:6

d)

1:5/4

30.

How many tbsp of honey is needed for 20 cups of flour?

a)

2

b)

18

c)

25

d)

16

31.
On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?
a)
His rate on Saturday was 2 miles per hour slower than his rate on Sunday.
b)
His rate on Sunday was 2 miles per hour slower than his rate on Saturday.
c)
His rate on Saturday was the same as his rate on Sunday.
d)
His rate on Sunday was 2 miles per hour faster than his rate on Saturday.
32.
Is this table proportional?
a)
Yes
b)
No
33.
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
34.

Jane wants to triple her lemonade recipe. For two drinks, she mixes 3 lemons with 2 cups of water. What will she need to triple her recipe?

a)

6 lemons, 4 cups of water

b)

8 lemons, 6 cups of water

c)

9 lemons, 6 cups of water

d)

12 lemons, 8 cups of water

35.

Carley is throwing a party. She needs 3 liters of soda for every 12 guests. If there are 48 guests attending the party, how many liters of soda will she need?

a)

144 liters

b)

36 liters

c)

8 liters

d)

12 liters

36.
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
37.
A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute.  What is the number of boxes it packs per minute?
a)
1/3
b)
3/4
c)
7/6
d)
4/3
38.
Is this table proportional?
a)
Yes
b)
No
39.
Jasmin is baking a cake that calls for 1/4 cup water for every 1/2 cup of flour. How much flour will she need if she uses 1.5 cups of water?
a)
4 cups of flour
b)
.75 cups of flour
c)
3 cups of flour
d)
.25 cups of flour
40.
Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?
a)
1.25 miles per hour
b)
1/10 miles per hour
c)
1.6 miles per hour
d)
2 miles per hour
41.
Alexis used 2.5 cups of oreo bits in a dish that serves 10 people. Kaden used 1.6 cups of oreo bits in a dish that serves 8 people. How much more oreo is in one serving of Alexis' dish?
a)
.5 cup
b)
.05 cup
c)
.2 cup
d)
.25 cup
42.
Perry earned $96 shoveling snow from 8 driveways.  At that rate, how much would he have made if he had shoveled only 6 driveways?
a)
$120
b)
$12
c)
$84
d)
$72
43.
Is the given table a proportional relationship? If so, write an equation that relates y to x.
a)
Yes;  y=1/3x
b)
Yes;  y=3x
c)
Yes;  y=5x 
d)
No
44.
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
45.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
46.

What best describes the data on this graph?

a)

This graph is linear and not proportional.

b)

This graph is proportional.

c)

This graph is non-linear.

47.
Which line shows a proportional relationship between x and y?
a)
Line L
b)
Line M
48.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
49.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
50.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
51.
Which equation matches the graph?
a)
y = 8x
b)
y = 1x
c)
y = 3x
d)
y = 16x
52.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
53.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
54.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
55.
A store sees 120 customers in 8 hours. What is the constant of proportionality?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
56.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
57.
Is this graph proportional?
a)
Yes
b)
No
58.
What does k represent in the equation y = kx?
a)
constant for preparation
b)
constant of proportionality
c)
kangaroos
d)
krispy kreme
59.
Is this graph proportional?
a)
Yes
b)
No
60.
Is this table proportional?
a)
Yes
b)
No
61.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
62.
What does the point (2, 94) represent in this situation?
a)
Every week, they earn $94.
b)
After 94 weeks, they save $2.
c)
After 1 week, they save $47.
d)
After 2 weeks, they save $94.
63.
What does the ordered pair (20, 3000) represent?
a)
The machine folds 3,000 sheets in 20 minutes.
b)
The machine folds 20 sheets in 3,000 minutes.
c)
There are 3,000 sheets in 20 minutes.
d)
There are 20 sheets in 3,000 minutes.
64.
The equation y=6.5x represents a proportional relationship. What is the constant of proportionality?
a)
x
b)
1/6.5
c)
6.5
d)
y
65.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
66.
REVIEW QUESTION
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
67.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
68.
The cost of popcorn is $2.50 for each bag.
a)
Proportional
b)
Nonproportional
69.
The table shows the distance of a train from a station and the time it will take to arrive. The relationship is linear. Is it proportional or nonproportional?
a)
Proportional
b)
Nonproportional
c)
Neither
d)
Both
70.
What makes a graph proportional?
a)
Linear
b)
The line is only in quadrant 1
c)
Curvy line
d)
Linear and the line goes through the origin
71.
Is this table proportional?
a)
Yes
b)
No
72.
Is this graph proportional?
a)
Yes
b)
No
73.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
74.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
75.
Find the Unit Rate.
405 rotations in 5 minutes   
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes