wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Percent and Proportional Relationship

Total questions: 130

Worksheet time: 4hrs 45mins

Name
Class
Date
1.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
2.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
3.
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
4.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
5.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
6.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
7.
What is the unit rate for this graph?
a)
100
b)
25
c)
50
d)
200
8.
Which color car represents a proportional relationship?
a)
Red car
b)
White car
c)
Both cars
d)
None of the cars
9.
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
10.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
11.
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
12.
A line is linear if it forms a straight line.  A line that does not form a straight line is non-linear. Which best describes this graph?
a)
linear and non-proportional
b)
non-linear and non-proportional
c)
linear and proportional
d)
non-linear and proportional
13.
The graph shows the water level as a bathtub fills.  Select the correct choice that describes this graph.
a)
The graph is proportional.
b)
The graph is proportional and non-proportional.
c)
The graph is a unit rate and a percentage
d)
The graph is non-proportional.
14.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality? 
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
15.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
16.
Write an equation for this relationship.
a)
y=10.99x
b)
y=22.98x
c)
y=22x
d)
y=21.98x
17.
What are the main characteristics of a proportional relationship between two variables?
a)
They pass through the origin.
b)
They are linear and also pass through the origin.
c)
They are curved
d)
They have a negative relationship and pass through the origin.
18.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
19.
The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality the relates cost in dollars, y, to the number of pounds of grapes, x?
a)
6.09
b)
20.36
c)
8.12
d)
28.36
20.
Which color car represents a proportional relationship?
a)
Red car
b)
White car
c)
Both cars
d)
None of the cars
21.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
22.
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
23.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
24.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
25.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
26.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
27.
A bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?  
a)
x = 49 seconds
b)
x = 4 meters
c)
x = 49 meters
d)
x =  4 seconds
28.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
29.
Solve the proportion.
a)
n=6
b)
n=24
c)
n=7
d)
n=8
30.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
31.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
32.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
33.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
34.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
35.
change 25% to a decimal
a)
.25
b)
.2
c)
2.5
d)
.025
36.
change .3 to a percent
a)
3%
b)
30%
c)
300%
d)
.30%
37.
Find 25% of 200
a)
25
b)
50
c)
100
d)
5
38.
find 50% of 180
a)
9
b)
.9
c)
90
d)
900
39.
find 17% of 23
a)
3.91
b)
.391
c)
39.1
d)
391
40.
change 3.41 to a percent
a)
34.1%
b)
.341%
c)
.0341%
d)
341%
41.
What is 17% of 90
a)
45
b)
14.3
c)
12.4
d)
15.3
e)
12.5
42.
30 is 20% of what number
a)
234
b)
1123
c)
150
d)
130
e)
232
43.
What number is 70% of 45
a)
12
b)
32
c)
23
d)
33
e)
23
44.
What percent of 30 is 45
a)
160%
b)
543%
c)
547%
d)
324%
e)
150%
45.
What percent of 160 is 62
a)
38.75%
b)
39.74%
c)
45.75%
d)
38.76%
e)
16.43%
46.
What number is 45% of 580
a)
231
b)
261
c)
121
d)
264
e)
597
47.
320% of 69 is what number
a)
232.23
b)
232.93
c)
220.90
d)
220.80
e)
38.36
48.
If the tax rate is 7.5%, how much would you pay in taxes on a $199.00 phone
a)
14.76
b)
25.67
c)
14.93
d)
36.56
e)
24.67
49.
A price is to be increased by 15%. What do you need to multiply by?
a)
1.15
b)
0.15
c)
0.85
d)
15
50.
A value is to be decreased by 8%. What should you multiply by?
a)
0.92
b)
0.8
c)
0.2
d)
1.08
51.
A value is to be increased by 3%. What should you multiply by?
a)
1.03
b)
1.3
c)
0.3
d)
0.97
52.
A value is to be decreased by 2.5%. What should you multiply by?
a)
0.975
b)
2.5
c)
0.25
d)
0.75
53.
A value is to be increased by 50%. What should you multiply by?
a)
1.5
b)
50
c)
0.5
d)
1.05
54.
A survey of 1,000 people was done by the New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?
a)
200
b)
400
c)
600
d)
800
55.
Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How many students do not take the bus to school?
a)
15
b)
20
c)
30
d)
35
56.
Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
a)
20%
b)
40%
c)
60%
d)
80%
57.
The wholesale price of an item is $25. If the markup on the item is 10%, what will be the selling price?  (SOL 8.3a)
a)
$2.50
b)
$22.50
c)
$27.50
d)
$35.00
58.

An item that costs $65 is selling for a discount of 40%. What is the amount of the discount? (SOL 8.3a)

a)

$6.00

b)

$26.00

c)

$20.40

d)

$0.20

59.
Elijah spent $42.50 at dinner with his family.  He wants to leave the server a 15% tip.  What is the total cost of his bill?  (SOL 8.3a)
a)
$6.38
b)
$36.12
c)
$48.88
d)
$57.20
60.
An item selling for $11 is discounted 25%. What is the sale price of the item?  (SOL 8.3a)
a)
$2.75
b)
$8.25
c)
$13.75
d)
$14.00
61.
Tyler bought a  pair of yeezys with a 25% markup. If the yeezys cost $282, how much would they cost. 
a)
$3000
b)
$352.50
c)
$103
d)
$1378
62.
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error?
a)
21%
b)
17.37%
c)
17.4%
d)
21.02%
63.
Romy's measurements: 6.02 m, 6. 04 m, 6.03 m
Actual Value: 6.02 m
How would you define her measurements?
a)
accurate and precise
b)
accurate 
c)
precise
d)
neither
64.
The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?
a)
16.67%
b)
20%
c)
2500%
d)
80%
65.
The students measured length during a science experiement, they got 12 cm. But the actual measurement was 14.25 cm. What was the percent error?
a)
15.79%
b)
18.75%
c)
2.25%
d)
18%
66.
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error?
a)
21%
b)
17.37%
c)
17.4%
d)
21.02%
67.
During the school fire drill the actual count of students was between 1380 and 1402. What is the most the absolute error could be?
a)
22
b)
-22
c)
2782
d)
22%
68.
During the school fire drill the actual count of students was between 1380 and 1402. What is the most the percent error could be? Round your answer to the nearest tenth of a percent.
a)
1.6%
b)
1.56%
c)
1.59%
69.
During the school fire drill the actual count of students was between 1380 and 1402. What is the most the percent error could be? Round your answer to the nearest tenth of a percent.
a)
1.6%
b)
1.56%
c)
1.59%
70.
Zed went to the store and bought a bag of chips.  He estimated there would be 350 chips in the package, but realized there were only 210 chips in that package.  What was his percent error?
a)
35%
b)
67%
c)
85%
d)
92%
71.
Jessie estimates the weight of her cat to be 8 pounds.  The actual weight of the cat was 10 pounds.  Find the percent error.  
a)
15%
b)
20%
c)
25%
d)
30%
72.
Bob estimates that there will be 230 people who attend the concert.  There was an actual total of 300 people who attended.  Find the percent error.  
a)
23%
b)
33%
c)
27%
d)
37%
73.
In one year Angelica’s height went from 60 inches to 63 inches. What was the percent of increase in Angelica’s height?
a)
0.05%
b)
4%
c)
4.8%
d)
5%
74.

A Toyota Sienna sells for $41,899. A year later, the value is $36,469. What is the percent change to the nearest tenth of a percent?

a)

12% increase

b)

13% decrease

c)

112% decrease

d)

113% increase

75.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
76.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$840.00
c)
$58.44
d)
$840.57
77.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
78.
Discount is ____________ from the price.
a)
added
b)
divided
c)
subtracted
d)
multiplied
79.
Eliza bought a meal that cost $12.00. She tipped the waiter 25% of that amount. How much was the tip?
a)
$ 15.00
b)
$ 12.25
c)
$3.00
d)
$4.00
80.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket?  (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
81.
Find the total cost. $50 item; $10 coupon off; 10% sales tax
a)
$ 45
b)
$10
c)
$ 44
d)
$55
82.
The regular price of a sofa is $599.99. 
If there sales tax is 6%
How much will the sofa cost?
a)
$508.79
b)
$479.99
c)
$635.99
d)
$489.59
83.
Find the total earnings:
Commission Rate: 5.5%
Sales: $18,200
a)
$1001
b)
$10,010
84.
A sports store near Big Bear Lake
is having a 20% off sale on all water skis. 
What will the sale price be for water ski’s that regularly sell for $248?
a)
$297.60
b)
$198.40
c)
$49.60
d)
$201.40
85.
The regular price of a sofa is $599.99. 
If there is a 20% discount and
the sales tax is 6%
(based on the discounted price),
How much will the sofa cost?
a)
$508.79
b)
$479.99
c)
$635.99
d)
$489.59
86.
Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37000 worth of items this month, what is her salary for the month?
a)
$14,800
b)
$5,180
c)
$629
d)
$6,290
87.
Amelia sells jewelry.  She make a total of 12% of commission off of her sales.  How much commission Amelia make when she sells $22,540 worth of jewelry.
a)
13,780.80
b)
$450.80
c)
$2,704.80
d)
$304.80
88.
How do you find the SALE PRICE?
a)
calculate the discount
b)
original price + tax
c)
original price - discount
89.
Miss Colwell gives you the best Buffalo Wild Wings service you have ever had and you want to leave her a 25% tip. How much of a tip would you leave her if your meal was $38.47?
a)
$9.62
b)
$28.85
c)
$48.09
d)
$961.75
90.
How much would a new iPhone 7 cost total if it's $649.00 and there's a 7% tax rate?
a)
$45.43
b)
$649.07
c)
$603.57
d)
$694.43
91.
What percent of Miss Colwell's day does she spend watching Netflix if she watches 4 hours a night?
a)
25%
b)
16.7%
c)
6%
d)
33.3%
92.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
93.

If there are 120 boys in the group, how many boys and girls are there TOTAL? Use the tape diagrams to solve.

a)

150

b)

270

c)

250

d)

360

94.
a)
The ratio of red balloons to blue balloons is 1:3.
b)
The ratio of blue balloons to total balloons is 3:1.
c)
The ratio of red balloons to yellow balloons is 1:2.
d)
The ratio of yellow balloons to total balloons is 1:6.
95.
If there are 120 boys in the group, how many boys and girls are there TOTAL?  Use the tape diagrams to solve.
a)
150
b)
270
c)
250
d)
360
96.
 What is the ratio of triangle and the sum of the circles and triangles?
a)
1 to 6
b)
40 to 8
c)
8 to 40
d)
6 to 1
97.
Complete the ratio tables
a)
10, 15, 20
b)
15, 20, 25
c)
10, 35, 45
d)
10, 15, 30
98.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
99.
Hilbert burns 120 calories per 30 minutes of weight training.  Complete the table to chart his calorie expenditure for different amounts of time. What is value of b?
a)
b= 80
b)
b= 40
c)
b= 4
d)
b= 240
100.
Refer to the double number line.
If Kim makes 8
 loaves of bread, how many cups of raisins did she use?
a)
4
b)
12
c)
16
d)
24
101.
What  number is missing?
a)
7
b)
3
c)
10
d)
5
102.
What is A?
a)
84
b)
7
c)
28
d)
82
103.
Refer to the double number line.
If Kim makes 8
 loaves of bread, how many cups of raisins did she use?
a)
4
b)
12
c)
16
d)
24
104.
What is the missing number in the ratio table?
a)
75
b)
77
c)
88
d)
85
105.

The ratio of dogs to cats in a pet store is 3:2. Which of the following is an equivalent ratio?

a)

4:6

b)

9:6

c)

6:10

d)

6:9

106.

In a fruit basket there are 5 apples, 7 pears and 10 bananas. What is the ratio of bananas to total fruit in simplest form?

a)

10:12

b)

22:10

c)

5:11

d)

11:5

107.

The ratio of red paint to yellow paint in a mixture is shown in the diagram above. How many ml of yellow paint are in 4 batches?

a)

8

b)

16

c)

4

d)

6

108.

The ratio of red paint to yellow paint in a mixture is shown in the double number line above. How many teaspoons of yellow paint are in 4 batches?

a)

20

b)

4

c)

12

d)

15

109.

Which numbers come next on the double number line?

a)

Sugar: 12

Flour: 8

b)

Sugar: 12

Flour: 18

c)

Sugar: 8

Flour: 12

d)

I have no idea!

110.

Select the TRUE statement.

a)

For every tbsp. of vegetable oil, there are 3 tbsp. of chopped bell pepper.

b)

For every 3 eggs, there are 2 tbsp. of chopped bell pepper.

c)

For every tbsp. of chopped onion, there are 2 eggs.

d)

For every tbsp. of chopped bell pepper there is 1 tbsp. of chopped onion.

111.

The ratio of eggs to chopped onion is

a)

3 to 1

b)

1 : 3

c)

1 : 1

d)

2 to 1

112.

Write a true ratio statement.

The ratio of tbsp. of ____________ to tbsp. of chopped onion is 2:1.

a)

chopped ham

b)

vegetable oil

c)

eggs

d)

chopped bell pepper

113.

To double the recipe, you would need ________ eggs.

a)

2

b)

4

c)

6

d)

8

114.

The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.

a)

6

b)

24

c)

18

d)

72

115.

The ratio of sweaters to vests is 6:5. If there are 30 vests, how many sweaters are there? Use the tape diagram to find your answer.

a)

36

b)

42

c)

66

d)

6

116.

Which tape diagram is correctly set up according to the following problem:


During the holiday sale, Save at Gabe's sold sweaters and pogo sticks in the ratio of 2:3. The store sold a total of 20 items. How many pogo sticks were sold?

a)
b)
c)
d)
e)
117.

Pick the tape diagram below that best shows the situation in this problem.


For every 7 cakes that Morgan sold, Derek sold 2. Derek sold 55 fewer cakes than Morgan. How many cakes did Derek sell?

a)
b)
c)
d)
118.
If there are 24,000 maned wolves, how many dholes are there?  Use the tape diagrams to solve.
a)
240
b)
2400
c)
2640
d)
24,240
119.

The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?

a)

15

b)

32

c)

45

d)

60

120.

What decimal is equivalent to 1/10?

a)

0.1

b)

10.1

c)

1.10

d)

10

121.
What decimal is equivalent to 9/10?
a)
0.9
b)
9.0
c)
9.10
d)
10.9
122.
What decimal is equivalent to 1/3?
a)
0.13
b)
0.3
c)
0.33...
d)
0.31
123.
What decimal is equivalent to 7/10?
a)
1/7
b)
7.0
c)
0.07
d)
0.7
124.
What decimal is equivalent to 1/5?
a)
0.2
b)
0.1
c)
0.15
d)
0.51
125.
What fraction is equivalent to 0.8?
a)
8/1
b)
4/5
c)
8/100
d)
8/1
126.
What fraction is equivalent to 0.25?
a)
2/5
b)
1/4
c)
3/8
d)
5/2
127.
What fraction is equivalent to 0.6?
a)
1/6
b)
6/9
c)
1/3
d)
3/5
128.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
129.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
130.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4