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Rates, Rations, and Proportional Relationships

Total questions: 115

Worksheet time: 6hrs 45mins

Name
Class
Date
1.

Sam reads at a rate of 160 words per minute. Who reads at the same rate as Sam?

a)

Molly

b)

Braxter

c)

Sarah

d)

Damian

2.

A 8-ounce bag of chocolate costs $4.08. An 10-ounce bag if chocolate costs $4.10. Which is a better deal?

a)

8 ounce bag

b)

They are equivalent.

c)

Neither

d)

10 ounce bag

3.

In 2015, the population of the United States was about 320 million people. About 22% of the total United States is 14 years old or younger. About how many million people is that?

a)

10

b)

250

c)

70

d)

45

4.

In 2015, the population of the United States was about 320 million people. About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities?

a)

224 million

b)

32 million

c)

96 million

d)

10 million

5.

In 2015, the population of the United States was about 320 million people. Females make up about 51% of the total population of the United States. About how many males live here?

a)

163 million

b)

145 million

c)

157 million

d)

173 million

6.

Which does not describe a ratio relationship between two quantities?

a)

3 to 4

b)

2:1

c)

$5 per slice

d)

$2.25

7.

Which statement is false:

a)

A ratio is a comparison of two quantities that uses division.

b)

A rate compares two quantities that have different units of measure.

c)

Equivalent ratios are ratios that name a different, unequal ratio.

d)

When the comparison is to one unit, the rate is called a unit rate.

8.

Find the missing value in the proportion:

43=z24\frac{4}{3}=\frac{z}{24}  

a)

32

b)

72

c)

8

d)

18

9.

Given 1 inch = 2.54 cm, how many centimeters are in 5 inches?

a)

7.62 cm

b)

12.7 cm

c)

5.08 cm

d)

1.97 cm

10.

A sign is 6 feet long and 4 feet high. Part of it is a red rectangle that is 3 feet by 2 feet. What percent of the sign is red? Explain.

4 lines
11.

Steve drives 78 miles on 3 gallons of gas. Find the miles per gallon.

a)

23

b)

24

c)

25

d)

26

12.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
13.

The T-Shirt Hut sells 3 shirts for $37.50. How much does one shirt cost?

a)

$1.25

b)

$125.00

c)

$12.50

d)

$15.20

14.

Mr. Speedster drove 390 miles in 6 hours. On average, how fast was he driving?

a)

55

b)

60

c)

65

d)

70

15.

A store owner estimates that 8 out of every 50 candy bars sold are Milky Way. What percentage of the candy bars sold are Milky Way?

a)

62.5%

b)

33%

c)

22%

d)

16%

16.

Ten daisies represents 20% of the flowers in a bouquet. How many flowers are in the bouquet?

17.

Mary's ribbon is 12 yards long.

How many feet is it?

(1 yd=3 ft)

a)

36

b)

4

c)

123

d)

32

18.

30% of the employees at a company picnic ate a hot dog for lunch. If 60 employees ate a hotdog, how many people were at the picnic?

19.

Frank's fence is 233 inches . Given that 1 inch = 2.54 centimeters, how many centimeters of fence does Steve have?

a)

5,9182

b)

59.182

c)

5918.2

d)

591.82

20.

In the parking lot, the ratio of white cars to grey cars is 3:4. If there are 120 white cars, how many total cars are in the parking lot?

a)

420

b)

120

c)

280

d)

160

21.

A recipe for banana bread calls for 8 cups of bananas for every 4 cups of flour. How many cups of bananas are needed per cup of flour?

a)

1/2

b)

2

c)

4

d)

16

22.
What is the missing number in the ratio table?
23.

If Sally earns $11.00 an hour. How much will she earn if she works 6.5 hours?

a)

55.00

b)

66.50

c)

71.50

d)

85.00

24.

Match each sale to its unit cost.

a)

5 apples for $1.65

1.

$0.33

b)

12 shirts for $99.60

2.

$8.30

c)

12 plums for $7.44

3.

$0.62

d)

8 yo-yos for $8.40

4.

$1.05

e)

6 plants for $39.30

5.

$6.55

25.

Match the equivalent ratios.

a)

5 to 1

1.

30 to 6

b)

2 to 3

2.

6 to 9

c)

2 to 5

3.

4 to 10

d)

1 to 2

4.

9 to 18

e)

3 to 2

5.

15 to 10

26.

Sam reads at a rate of 160 words per minute. Who reads at the same rate as Sam?

a)

Molly

b)

Braxter

c)

Sarah

d)

Damain

27.

An 8-ounce bag of chocolate costs $4.08. An 10-ounce bag of chocolate costs $4.10. Which is the better deal?

a)

8 ounces

b)

They are equivalent

c)

Neither

d)

10 ounces

28.

In 2015, the population of the United States was about 320 million people.

About 22% of the total United States population is 14 years old or younger. About how many million people is that?

a)

10

b)

250

c)

70

d)

45

29.

In 2015, the population of the United States was about 320 million people.

About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities?

a)

224 million

b)

32 million

c)

96 million

d)

10 million

30.

In 2015, the population of the United States was about 320 million people.

Females make up about 51% of the total population of the United States. About how many males live here?

a)

163 million

b)

145 million

c)

157 million

d)

173 million

31.

Which DOES NOT describe a ratio relationship between two quantities?

a)

3 to 4

b)

2:1

c)

$5 per slice

d)

$2.25

32.

Which statement is FALSE:

a)

A ratio is a comparison of two quantities that uses division

b)

A rate compares two quantities that have different units of measure.

c)

Equivalent ratios are ratios that name a different, unequal ratio.

d)

When the comparison is to one unit, the rate is called a unit rate.

33.

Find the missing value in the proportion:

43 = z24\frac{4}{3}\ =\ \frac{z}{24}

a)

32

b)

72

c)

8

d)

18

34.

Given 1 in = 2.54 cm, how many centimeters are in 5 inches?

a)

7.62 cm

b)

12.7 cm

c)

5.08 cm

d)

1.97 cm

35.

A sign is 6 feet long and 4 feet high. Part of it is a red rectangle that is 3 feet by 2 feet. What percent of the sign is red? EXPLAIN.

4 lines
36.
Noah printed 24 photos in 8 minutes. How many photos did he print per minute?
a)
6 photos/minute
b)
3 minutes/photo
c)
12 minutes/photo
d)
3 photos/minute
37.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
38.

Ratios can be represented as...

(Select ALL answers that apply!)

a)

A/B

b)

A to B

c)

A : B

39.
In a bouquet of​ flowers, there are 7 daisies and 19 roses. Write the ratio of daisies to roses in three different ways.
a)
19 to 7, 19:7, 19/7
b)
19 to 7, 7:19, 7/19
c)
7 to 19, 7:19, 7/19
d)
7 to 19, 19:7, 19/7
40.
Which ratio is written incorrectly?
a)
X : Y
b)
X and Y
c)
X/Y
d)
X to Y
41.

What is the ratio of total shapes to circles?

a)

3 : 4

b)

4 : 3

c)

7 : 3

d)

3 : 7

42.
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
43.
Which represents the relationship of oranges to total fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
44.
Mr. Wright has 7 boys and 9 girls. What is the ratio of girls to boys?
a)
7 to 9
b)
9 to 7
45.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2:5
b)
5:3
c)
3:5
d)
5:2
46.
There are 10 dimes, 8 quarters, and 5 nickels?  What is the ratio of quarters to dimes?
a)
10 to 8
b)
8 : 10
c)
4 : 5
d)
5 to 4
47.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
48.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
49.
Simplify the ratio of
20 to 25
a)
1 to 5
b)
2 to 5
c)
3 to 5
d)
4 to 5
50.
There are 4 triangles, 12 squares, and 6 circles.  What is the ratio of triangles to squares? Simplify.
a)
12 : 4
b)
2 to 6
c)
1 : 3
51.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
52.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
53.
If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in 35 hours? 
a)
8 lawns in 35 hours
b)
12 lawns in 35 hours
c)
16 lawns in 35 hours
d)
20 lawns in 35 hours
54.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
55.
Which statement best describes what a ratio is.
a)
A number
b)
A comparison of two quantities using division.
c)
A comparison
d)
A comparison of many things.
56.
What word can be used when writing a ratio?
a)
a
b)
be
c)
to
d)
and
57.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
58.

Ratios can be represented as...

(Select ALL answers that apply!)

a)

A/B

b)

A to B

c)

A : B

59.
In a bouquet of​ flowers, there are 7 daisies and 19 roses. Write the ratio of daisies to roses in three different ways.
a)
19 to 7, 19:7, 19/7
b)
19 to 7, 7:19, 7/19
c)
7 to 19, 7:19, 7/19
d)
7 to 19, 19:7, 19/7
60.
Which ratio is written incorrectly?
a)
X : Y
b)
X and Y
c)
X/Y
d)
X to Y
61.

What is the ratio of total shapes to circles?

a)

3 : 4

b)

4 : 3

c)

7 : 3

d)

3 : 7

62.
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
63.
Which represents the relationship of oranges to total fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
64.
Mr. Wright has 7 boys and 9 girls. What is the ratio of girls to boys?
a)
7 to 9
b)
9 to 7
65.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2:5
b)
5:3
c)
3:5
d)
5:2
66.
There are 10 dimes, 8 quarters, and 5 nickels?  What is the ratio of quarters to dimes?
a)
10 to 8
b)
8 : 10
c)
4 : 5
d)
5 to 4
67.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
68.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
69.
Simplify the ratio of
20 to 25
a)
1 to 5
b)
2 to 5
c)
3 to 5
d)
4 to 5
70.
There are 4 triangles, 12 squares, and 6 circles.  What is the ratio of triangles to squares? Simplify.
a)
12 : 4
b)
2 to 6
c)
1 : 3
71.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
72.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
73.
If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in 35 hours? 
a)
8 lawns in 35 hours
b)
12 lawns in 35 hours
c)
16 lawns in 35 hours
d)
20 lawns in 35 hours
74.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
75.
Which statement best describes what a ratio is.
a)
A number
b)
A comparison of two quantities using division.
c)
A comparison
d)
A comparison of many things.
76.
What word can be used when writing a ratio?
a)
a
b)
be
c)
to
d)
and
77.

What is the value of x. 35=x30\frac{3}{5}=\frac{x}{30}  

a)

28

b)

18

c)

50

d)

27

78.

What is the value of x. 58=x24\frac{5}{8}=\frac{x}{24}  

a)

3

b)

22

c)

21

d)

15

79.

What is the value of x. 1330=x90\frac{13}{30}=\frac{x}{90}  

a)

16

b)

39

c)

3

d)

83

80.

Hailey has 8 pairs of shoes and 12 pairs of sneakers. Which is NOT an accurate way to describe the ratio of sneakers to shoes?

a)

128\frac{12}{8}

b)

3 to 2

c)

2:3

d)

3:2

81.

Eileen has 8 female friends and 2 male friends. Which is NOT an accurate way to describe the ratio of female friends to male friends?

a)

28\frac{2}{8}

b)

8 to 2

c)

4:1

d)

41\frac{4}{1}  

82.

Zakai was playing basketball. He made 2 3-point shots and 6 2-point shots. Which is NOT a accurate way to describe the ratio of 2-pointers to 3-pointers?

a)

31\frac{3}{1}

b)

1 to 3

c)

3:1

d)

6:2 

83.

Ratios that are in proportion are also....

a)

reciprocals

b)

constraint

c)

bourgeoisie

d)

equivalent

84.

In a certain class 8 of the 24 scholars are boys. What is the ratio of boys to girls?

a)

1:2

b)

2:1

c)

1:3

d)

3:1

85.

On a farm 5 of the 30 chickens are roosters. What is the ratio of hens to roosters?

a)

6:1

b)

15\frac{1}{5}

c)

5 to 1

d)

1:6

86.

Armil's footwear is a collection of sneakers and shoes. If 8 of his 10 pairs of footwear are sneakers then what is the ratio of shoes to sneakers?

a)

4:5

b)

810\frac{8}{10}

c)

4 to 1

d)

1:4

87.

You a graph represents a proportional relationship when the graph...

a)

is a curved line

b)

is a straight line

c)

passes through the origin

d)

is a straight line AND passes through the origin

88.

Which graph represents a proportional relationship?

a)
b)
c)
d)
89.

Which is NOT an equivalent ratio to 4:3

a)

6:5

b)

8/6

c)

12 to 9

d)

2015\frac{20}{15}

90.

Which is NOT equivalent to 1620\frac{16}{20}  

a)

8:10

b)

32 to 40

c)

45\frac{4}{5}  

d)

5 to 4

91.

Which is NOT equivalent to 30 to 24 

a)

10:8

b)

15 to 12

c)

45\frac{4}{5}  

d)

60 to 48

92.

Which is NOT equivalent to 8 to 12 

a)

16:24

b)

3 to 2

c)

46\frac{4}{6}  

d)

24 to 36

93.

Which number belongs above the 6?

a)

7

b)

3

c)

5

d)

4

94.

Which 2 numbers belongs below the 8?

a)

12 and below that a 20

b)

10 and below that a 15

c)

3 and below that a 5

d)

15 and below that a 25

95.

Which numbers belongs right above the 150?

a)

120

b)

90

c)

100

d)

80

96.

A ratio is a

a)

comparison of two quantitities

b)

a comparison of two quantities with units

c)

a comparison of two quantities with units when the quantity in the denominator is 1

d)

the number in front of the variable in an expression or equation

97.

Which of the following is NOT an example of a ratio?

a)

3:1

b)

31\frac{3}{1}  

c)

3 and 1

d)

3 to 1

e)

(3, 1)

98.

What is the ratio of TRIANGLES TO SQUARES?

a)

2:1

b)

3:0

c)

1:3

d)

1:2

99.

What is the ratio of TRIANGLES TO SQUARES?

a)

1:4

b)

4:1

c)

3:1

d)

1:3

100.

Check the boxes of the ratios that ARE EQUIVALENT. (HINT: find a common denominator, and see if they are equal)

a)
b)
c)
d)
101.

Fill in the missing value

(a)  

102.

Fill in the missing value

(a)  

103.

Fill in the missing value

(a)  

104.

For every 1 cup of flour, 5 batches of cookies can be made.

How many batches of cookies can be made with 5 cups of flour?

a)

5 batches of cookies

b)

10 batches of cookies

c)

15 batches of cookies

d)

25 batches of cookies

105.

A rate is a

a)

comparison of two quantitities

b)

a comparison of two quantities with units

c)

a comparison of two quantities with units when the quantity in the denominator is 1

d)

the number in front of the variable in an expression of equation

106.

A unit rate is a

a)

comparison of two quantitities

b)

a comparison of two quantities with units

c)

a comparison of two quantities with units when the quantity in the denominator is 1

d)

the number in front of the variable in an expression of equation

107.

What does the word PER mean?


example: 35 miles PER hour

a)

for every ONE item

b)

for every TWO items

108.

Is the following a rate or a unit rate?


$5 per pound

a)

rate

b)

unit rate

109.

Is the following a rate or a unit rate?


$15 for 3 boxes of Cheez-Itz

a)

rate

b)

unit rate

110.

Is the following a rate or a unit rate?


type 800 words in 12 minutes

a)

rate

b)

unit rate

111.

Match the following vocabulary terms to their definitions.

a)

comparison of two quantitities

1.

ratio

b)

a comparison of two quantities with units

2.

rate

c)

a comparison of two quantities with units when the quantity in the denominator is 1

3.

unit rate

112.

A package of 20 crayons from Crayola costs $18 and a package of 30 crayons from Walmart costs $28.

Which package has the lower cost per crayon? Use unit rates to choose which package of crayons is the better deal.

a)

20 pack of crayons is the better deal

b)

30 pack of crayons is the better deal

113.

Check all of the following that ARE examples of a ratio?

a)

3:1

b)

31\frac{3}{1}  

c)

3 and 1

d)

3 to 1

e)

(3, 1)

114.

Find the unit rate in pages per minute.

A person can read 30 pages in 15 minutes

a)

2 pages per minute

b)

1/2 page per minute

115.

Find the unit rate in minutes per page.

In 15 minutes, a person reads 30 pages.

a)

2 minutes per page

b)

1/2 minute per page

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