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Study Guide for Rates and Percents Unit Test (MTM6)

Total questions: 160

Worksheet time: 7hrs 43mins

Name
Class
Date
1.

Match the following fraction to the equivalent percent:

a)

34\frac{3}{4}

1.

75%

b)

12\frac{1}{2}

2.

50%

c)

58\frac{5}{8}

3.

62.5%

d)

38\frac{3}{8}

4.

37.5%

e)

14\frac{1}{4}

5.

25%

2.

What decimal is equivalent to 5%?

3.

Convert 37.537.5 % to a fraction.

4.

Order the fractions from least to greatest:

a)

38\frac{3}{8}

b)

1213\frac{12}{13}

c)

1112\frac{11}{12}

d)

56\frac{5}{6}

e)

23\frac{2}{3}

1)
2)
3)
4)
5)
5.

What fraction is equivalent to 10%?

6.

Match the following fractions to decimals:

a)

13\frac{1}{3}

1.

.333

b)

712\frac{7}{12}

2.

.583

c)

19\frac{1}{9}

3.

.111

d)

49\frac{4}{9}

4.

.444

e)

78\frac{7}{8}

5.

.875

7.

What is 20%20\% of 150150 ?

8.

55 is what percentage of 2525 ?

Type your answer in as an integer. You do not need to type in the % symbol.

(a)  

9.

Victor wanted to tip his waitress 30%30\% , because he was hoping to get her number. He rounded his bill to the nearest whole dollar which was $ 3030 . How much did he tip her?

(a)  

10.

Which fraction is equivalent to 0.10.1 ?

a)

1100\frac{1}{100}

b)

110\frac{1}{10}

c)

11000\frac{1}{1000}

d)

1010

11.

0.810.81 % written as a decimal is... 

a)

8181

b)

0.810.81

c)

0.00810.0081

d)

0.0810.081

12.

22.622.6 written as a percentage is... 

a)

22602260 %

b)

22.622.6 %

c)

226226 %

d)

0.2260.226 %

13.

Express 0.520.52 as a fraction in lowest terms. 

a)

52100\frac{52}{100}

b)

1325\frac{13}{25}

c)

521000\frac{52}{1000}

d)

13250\frac{13}{250}

e)

1350\frac{13}{50}

14.

Write the fraction 38\frac{3}{8} as a decimal. 

a)

37.537.5

b)

2.6666...2.6666...

c)

0.3750.375

d)

0.266666...0.266666...

15.

Which expresses the fraction 23\frac{2}{3} as a decimal?

a)

2.32.3

b)

0.30.3

c)

0.60.6

d)

0.6666...0.6666...

16.

Express 75\frac{7}{5} as a percent.

a)

140140 %

b)

1.41.4 %

c)

0.710.71 %

d)

7575 %

17.

Express 1625\frac{16}{25} as a percent.

a)

0.640.64 %

b)

6464 %

c)

1.56251.5625 %

d)

15.62515.625 %

18.

What is the fraction for 3131 %?

a)

310\frac{3}{10}

b)

31100\frac{31}{100}

c)

311000\frac{31}{1000}

d)

3110000\frac{31}{10000}

19.

What is the percent for the fraction 920\frac{9}{20} ?

a)

99 %

b)

4545 %

c)

2020 %

d)

4.94.9 %

20.

In 2011 in Kentucky, sales tax was 66 %. What fraction would represent this tax?

(a)  

21.

Which is the decimal for 3.53.5 %?

22.

What is 164164 % as a decimal?

23.

What is 500500 % as a decimal

24.

Write the percent as a decimal: 217217 %

25.

Convert 2.752.75 to a percent.

You do not need to type the % symbol next to the answer.

(a)  

26.

Express 1150\frac{11}{50}  as a percent.

You do not need to type the % symbol next to the answer.

(a)  

27.

 True/False: 8%= 8100\frac{8}{100}  

a)

True

b)

False

28.

Percent is always out of

a)

10

b)

100

c)

1000

d)

10,000

29.

Write 910\frac{9}{10} as a percent.

You do not need to type the % symbol next to the answer.

(a)  

30.

Change to a percent:

0.0390.039

You do not need to type the % symbol next to the answer.

(a)  

31.

Change to Percent:

1720\frac{17}{20}

You do not need to type the % symbol next to the answer.

(a)  

32.

Change to a Percent:

0.08250.0825

You do not need to type the % symbol next to the answer.

(a)  

33.

Change to a percent:

0.0070.007

a)

0.70.7 %

b)

0.070.07 %

c)

77 %

d)

7070 %

34.

What is 0.30.\overline{3}   as a fraction?

a)

13\frac{1}{3}  

b)

33\frac{3}{3}  

c)

310\frac{3}{10}  

d)

31\frac{3}{1}  

35.

What is 0.60.\overline{6}  as a fraction?

a)

23\frac{2}{3}  

b)

210\frac{2}{10}  

c)

16\frac{1}{6}  

d)

66\frac{6}{6}  

36.

What is 14\frac{1}{4}  as a percent?

a)

75%

b)

25%

c)

50%

d)

100%

37.

What is 75% as a decimal?

a)

.75

b)

.25

c)

.50

d)

1.0

38.

What is 15\frac{1}{5}  as a decimal?

a)

0.20

b)

0.40

c)

0.50

d)

0.10

39.

What is 0.40 as a fraction?

a)

15\frac{1}{5}  

b)

25\frac{2}{5}  

c)

35\frac{3}{5}  

d)

45\frac{4}{5}  

40.

What is 35\frac{3}{5}  as a decimal?

a)

0.60

b)

0.80

c)

0.30

d)

0.50

41.

What is 0.80 as a percent?

a)

80%

b)

8.0%

c)

0.80%

d)

800%

42.

What is 18\frac{1}{8}  as a decimal?

a)

0.125

b)

0.150

c)

0.175

d)

0.200

43.

What is 38\frac{3}{8}  as a decimal?

a)

0.375

b)

0.350

c)

0.325

d)

0.300

44.

What is 0.625 as a fraction?

a)

18\frac{1}{8}  

b)

38\frac{3}{8}  

c)

58\frac{5}{8}  

d)

78\frac{7}{8}  

45.

What is 78\frac{7}{8}  as a decimal?

a)

0.875

b)

0.800

c)

0.825

d)

0.850

46.

What is 0.1 as a fraction?

a)

110\frac{1}{10}  

b)

1010\frac{10}{10}  

c)

101\frac{10}{1}  

d)

11\frac{1}{1}  

47.

Write 34\frac{3}{4}  as a decimal.

a)

3.4

b)

0.34

c)

0.75

d)

0.075

48.
What is the percent represented in the model? 
a)

20%

b)

2%

c)

.2%

d)

0.02%

49.

What percent of the model is shaded?

a)

36%

b)

50%

c)

45%

50.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of ___?

a)

20

b)

50

c)

3.14

d)

100

51.

To convert from a percent to a decimal we divide by 100 or move the decimal two places to the ​ ​ (a)  

Choose from the below words
left
up
down
right
52.

To convert from a decimal to a percent we multiply by 100.

This means we move the decimal to the _____ two places.

a)

right

b)

left

53.

What is 7878 % written as a decimal?

54.

What is 3.23.2 % written as a decimal?

55.

Write 50% as a fraction.

a)

510\frac{5}{10}

b)

12\frac{1}{2}

c)

50100\frac{50}{100}

d)

All are correct

e)

None are correct

56.

Write 1925\frac{19}{25} as a percent.

a)

1919 %

b)

2525 %

c)

7676 %

d)

7878 %

57.

Match the following fractions to there percentages.

a)

310\frac{3}{10}

1.

30%

b)

14\frac{1}{4}

2.

25%

c)

13\frac{1}{3}

3.

33%

d)

15\frac{1}{5}

4.

20%

e)

23\frac{2}{3}

5.

67%

58.

Match the following percents to fractions.

a)

50%

1.

20/40

b)

26%

2.

13/50

c)

44%

3.

11/25

d)

86%

4.

43/50

e)

96%

5.

24/25

59.

If Blake gets 18 out of 25 on his quiz what percentage grade does her receive?

a)

7070 %

b)

7474 %

c)

7272 %

d)

6868 %

60.

35 is what percent of 700?

You do not need to type the % symbol next to the answer.

(a)  

61.

What is 25% of 36?

(a)  

62.

4848 is 8080 % of what number?

(a)  

63.

58\frac{5}{8}  of 24002400

(a)  

64.

The regular price of a diaper bag at Bed Bath & Beyond is $ 7070 . What is the new price of the item after MJ uses the one single item in-store coupon for 2020 % off before tax?

(a)  

65.

Lexi's mom bought a used Jeep Cherokee for $24,000. She paid 7575 % of what the car was originally worth MSRP. What was the original price of the car at the dealer?

(a)  

66.

Luis needs $150 for new Apple AirPods. So far, he has saved $50. What percent of the price of the AirPod has he saved? Round answer to the nearest whole percent!

(a)  

67.

What percent of 1212 is 88 ?

a)

60%

b)

66 23\frac{2}{3} %

c)

75%

d)

130 13\frac{1}{3} %

68.

If Chase's monthly salary of $3,750 is 75 percent of Jalal's monthly salary, what is Jalal's monthly salary?

(a)  

69.

The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Keenan bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is what percent of the amount he paid? READ THIS QUESTION VERY CAREFULLY!

a)

12%

b)

20%

c)

25%

d)

30%

70.

Match the following percents to fractions.

a)

25\frac{2}{5}

1.

40%

b)

310\frac{3}{10}

2.

30%

c)

920\frac{9}{20}

3.

45%

d)

1120\frac{11}{20}

4.

55%

e)

35\frac{3}{5}

5.

60%

71.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
72.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
73.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
74.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
75.
Solve the proportion.
a)
10.8
b)
7.5
76.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
8
b)
15
c)
40
d)
29
77.

The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 24 passes, how many did he complete?

a)

21 passes

b)

8 passes

c)

3 passes

d)

27 passes

78.

It takes Emma 18 minutes to type and spell check 14 pages of manuscript. How long will it take her to type and spell check 77 pages?

a)

18 minutes

b)

99 minutes

c)

60 minutes

d)

1,386 minutes

79.

5 kilometers is equivalent to about 3.1 miles. About how many miles would 20 kilometers be?

a)

12.4 miles

b)

7.2 miles

c)

8.8 miles

d)

3.5 miles

80.

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480 miles

b)

1,960 miles

c)

84 miles

d)

25 miles

81.

The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 10 loads of dishes?

a)

75 gallons

b)

85 gallons

c)

80 gallons

d)

100 gallons

82.

A baseball player makes 4 hits in every 7 times at bat. At this rate, if he made 24 hits, how many times was he at bat?

a)

42 times at bat

b)

96 times at bat

c)

168 times at bat

d)

24 times at bat

83.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
84.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
85.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
86.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
87.
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
88.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
89.
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
90.
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
91.

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

a)

120 miles

b)

200 miles

c)

10 miles

d)

40 miles

92.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
93.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
94.
Solve the proportion
a)
48
b)
6
c)
8
d)
24
95.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
96.

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

a)

3.6

b)

2.5

c)

2.4

d)

.42

97.
a)
3
b)
5.3
c)
1.08
d)
27
98.
Jordyn bought 4 gallons of gasoline and it cost $16.80. What is the price per gallon?
a)
$67.20 per gallon
b)
I have no clue!
c)
$3.00 per gallon
d)
$4.20 per gallon
99.
Solve the proportion.
a)
5
b)
10
c)
15
d)
6
100.

Solve:

a)

2

b)

9

c)

35

d)

7

101.

Devon does 3 math problems every 2 minutes. At this rate, how many math problems will he do in 1 hour (60 minutes)?

a)

90 questions

b)

50 questions

c)

10 questions

d)

14 questions

102.
Mike can do 7 push-ups every 15 seconds.  How long would it take him to do 42 push-ups?
a)
90 seconds
b)
21 seconds
c)
6 seconds
d)
2 hours
103.

Aryon reads 4 books every 3 weeks. At this rate, how long will it take Aryon to read 20 books?

a)

10 weeks

b)

8 weeks

c)

15 weeks

d)

24 weeks

104.

Angelo buys Takis that cost $5 for 3 bags. If Angelo has $20 to spend, how many bags can he get?

a)

6 bags

b)

10 bags

c)

20 bags

d)

12 bags

105.

If 1 foot = 12 inches, how many inches are in 5 feet?

a)

30 inches

b)

40 inches

c)

50 inches

d)

60 inches

106.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

107.
Solve the proportion below:
a)
418
b)
2
c)
38
d)
11
108.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

109.

 

21x=68\frac{21}{x}=\frac{6}{8}  

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

110.
My father drove 231 miles with 7 gallons of gas.  What was his mileage (miles per gallon)?
a)
35 miles per gallon
b)
33 miles per gallon
c)
37 miles per gallon
111.

60% of 145 is what number?

(a)  

112.

What is 90% of 120?

(a)  

113.

What percent of 70 is 21?

(a)  

114.

What percent of 56 is 42?

(a)  

115.

150 is 15% of what number?

(a)  

116.

198 is 33% of what number?

(a)  

117.

12% of 150 is what number?

(a)  

118.

What percent of 48 is 12?

(a)  

119.

In the United States, 13 out of every 20 cans are recycled. What percent of cans are recycled?

a)

55%

b)

63%

c)

65%

d)

85%

120.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
121.

A student made an 85% on a test with 25 questions. What is the number of questions that the student answered correctly? Round the the nearest whole number.

a)

21 questions

b)

23 questions

c)

4 questions

d)

2 questions

122.

Martin's class has 28 students in it. 25% of those students are home sick today. How many students are home sick?

a)

4 students

b)

11 students

c)

13 students

d)

7 students

123.

There are 35 boys out for football. This is about 5% of the total enrollment. How many total kids are in the school?

a)

30

b)

350

c)

700

d)

1235

124.

Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?

a)

94%

b)

86%

c)

83%

d)

90%

125.
What number is 20% of 102?
a)
204
b)
122.4
c)
20.4
d)
20
126.
What is 40% of 230?
a)
92
b)
9200
c)
9.20
d)
575
127.
What is 23% of 65?
a)
14.95
b)
15.95
c)
16
d)
13.75
128.

12% of the cars that went through the car wash were blue. If 75 cars went through the car wash, how many of the cars were blue?

a)

900

b)

90

c)

0.09

d)

9

129.

Pridgeon Stadium has a capacity of 11,000. At the time of kickoff, 60% of the stadium was full. How many fans were in the stadium?

a)

5,500

b)

6,600

c)

660

d)

1,100

130.

The arena at the Berry Center holds 9,500 people. During one of the graduation ceremonies, 95% of the seats were occupied. How many people attended the ceremony?

a)

950

b)

8,550

c)

9,025

d)

9,500

131.
The middletown Zoo has 130 different exhibits.  Of those 130 exhibits, 30% of them contain birds.  How many exhibits contain birds?
a)
49
b)
39
c)
60
d)
25
132.

50 is what percent of 20?

a)

40%

b)

25%

c)

2.5%

d)

4%

133.
78 is what percent of 450?
a)
5%
b)
.17
c)
17%
d)
18%
134.
The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are empty?
a)
10%
b)
20%
c)
80%
d)
90%
135.
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%
136.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
137.

Mr. Linh took his family out for dinner. The dinner cost $85. He always leaves a 20% tip. Which proportion can be used to find the amount of tip Mr. Linh left?

a)

A

b)

B

c)

C

d)

D

138.

Mr. Linh took his family out for dinner. The dinner cost $85. He always leaves a 20% tip. What is the total amount Mr. Linh spent on dinner and a tip?

a)

$95.80

b)

$105.00

c)

$17.00

d)

$102.00

139.

Mrs. Neary bought a leaf-blower that was 19% off the original price. If Mrs. Neary saved $40, what is the best estimate of the original price of the leaf-blower?

a)

$50

b)

$200

c)

$100

d)

$80

140.
Austin went to Denny's for breakfast today.  He ordered a Grand Slam for $7.95 and an orange juice for $2.05.  He left the waitress a tip worth 10% of the total bill. How much money did he leave the waitress?
a)
$1.50
b)
$2.00
c)
$3.00
d)
$1.00
141.

Samuel took a test with 40 questions on it. He got 22 questions wrong on his test. What is the percent of the questions she got wrong?

a)

45%

b)

55%

c)

32%

d)

95%

142.

Paul wants to buy a shirt for his brother for Christmas. The regular price of the shirt is $20. There is a 40% discount in the entire store. How much is the discount on the shirt?

a)

$50 discount

b)

$8 discount

c)

$12 discount

d)

$6 discount

143.

75 students received a coupon. These students represent 5% of the total students at Seven Lakes JH. How many total students attend Seven Lakes JH?

a)

1,600 students

b)

1,000 students

c)

1,500 students

d)

1,200 students

144.

Jason saved 30% of the money he got for his birthday. If he saved $12, how much money did he get for his birthday?

a)

$40

b)

$80

c)

$25

d)

$50

145.

60% of the animals at a pet shop are dogs. If there are 42 dogs at the shop, then how many animals are there altogether?

(a)  

146.

A fruit stand’s most popular fruit is strawberries, which account for 35% of their total sales. If they usually sell $70 worth of strawberries each day, what would their usual total daily income be?

(a)  

147.

What is the percent of the shaded region in the figure? (Hint: It might help to write as a fraction first)

a)

60%

b)

12%

c)

40%

d)

8%

148.
In the school election James ran against Ben for secretary.  James received 75% of the votes.  If 240 students voted, how many votes did James receive?
a)
175
b)
160
c)
153
d)
180
149.

Caroline took a math test and answered 19 questions correctly and 6 questions incorrectly. What percent of the questions did she answer correctly?

a)

76%

b)

66%

c)

24%

d)

54%

150.

What Percent of the image is shaded?

a)

3%

b)

30%

c)

33%

d)

300%

151.

There are 10 girls and 15 boys in French class. What percent are girls?

a)

40%

b)

60%

c)

75%

d)

66 ⅔%

152.
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%
153.

Write a percent to represent the shaded portion of the model. (Hint: you might write it as a fraction first)

a)

16%

b)

42%

c)

64%

d)

80%

154.

A painter has finished painting 45% of a really long fence. If she has painted 90 feet so far, how long is the entire fence?

a)

80 ft

b)

200 ft

c)

80 ft

d)

300 ft

155.

In a food survey of 350 people, 70 people said they like to eat Ajillos tacos. What percent of people do NOT like to eat Ajillos Tacos

a)

25%

b)

20%

c)

80%

d)

85%

156.

What percent of the image is shaded?

a)

3%

b)

37.5%

c)

30%

d)

62.5%

157.

There were 160 people in a school cafeteria. Fifty percent of them had pizza and the rest had chicken. How many students had chicken?

a)

180

b)

160

c)

130

d)

80

158.

800 balloons were made to use for a water balloon fight. They used 160 of the balloons on the opponents. What percent of the balloons were used on the opponents?

a)

20%

b)

40%

c)

10%

d)

15%

159.
Angela made 90% of the 50 free throws she attempted.  How many free throws did Angela make?
a)
10
b)
27
c)
41
d)
45
160.

A store’s parking lot is 10% full. If there are 12 cars in the parking lot, how many cars can the entire parking lot hold?

(a)