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Ratios, Rates, and Proportions TEST REVIEW

Total questions: 113

Worksheet time: 6hrs 4mins

Name
Class
Date
1.
Harry mowed eight lawns and earned $96. How much did he earn for each lawn?
a)
$96
b)
$12
c)
$768
d)
$8
2.
150 grams of fertilizer is required for a land area of 6 square acres.  At this rate, how many grams of fertilizer is needed for 13 square acres?
a)
25 grams
b)
300 grams
c)
325 grams
d)
310 grams
3.
Solve for x please
a)
x  = 3
b)
x = -9
c)
x = 9
d)
x = 1/3
4.
Which rate is equivalent to $9 per hour?
a)
$27 in 3 hours
b)
$28 in 4 hours
c)
$33 in 3 hours
5.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

6.
a)
8
b)
9
c)
72
d)
12
7.
REVIEW QUESTION
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
8.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
9.

If chicken is selling for $3.99 a pound. How much would 5 pounds cost?

a)

$0.80

b)

$1.25

c)

$19.95

d)

$20.00

10.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
11.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
12.
A recipe requires 2 cups of milk for every 3 cups of flour. If you use 8 cups of milk, how many cups of flour do you need?
a)
9
b)
12
c)
16
d)
6
13.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

14.

Find the UNIT RATE:


19 dollars for 7 books = 

$___________ per book


*Remember to divide with $ on top, so 19/7

a)

$2.71

b)

$0.37

c)

$12

15.

Find the UNIT RATE:


7 calculators cost $135.00 =

$___________ per calculator


*Remember to divide with $ on top

a)

$19.28

b)

$0.05

c)

$1.92

16.

What is the formula we use to find constant of proportionality? (k)

a)

k = y / x

b)

k = y + x

c)

k = y - x

17.

What is the constant of proportionality? (Find k)

k=y/x

a)

$3

b)

$4

c)

$9

18.

What is the constant of proportionality? (k=y/x)

a)

1/3

b)

3

c)

5

19.

Simplify 30 : 45

a)

5 : 9

b)

2 : 3

20.
What are two equal ratios or rates called?
a)
Rate
b)
Ratio
c)
Proportion
d)
Unit Rate
21.

In one day, a Redbox rented out 20 comedies. If the ratio of comedies rented to action movies rented was 4:3, how many action movies were rented?

a)

5 action movies

b)

15 action movies

c)

3.3333 action movies

d)

4 action movies

22.

The ratio of a person's weight on Earth to his weight on the Moon is 6 to 1. Xavier weighs 90 pounds on Earth. How much would he weigh on the Moon?

a)

60 pounds

b)

96 pounds

c)

540 pounds

d)

15 pounds

23.
Are the two ratios proportional?
12/14 and 30:35
a)
Yes
b)
No
24.
Are the two ratios proportional?
7:12 and 5 to 8
a)
Yes
b)
No
25.
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
26.

Ratios can be represented as...

(Select ALL answers that apply!)

a)

A/B

b)

A to B

c)

A : B

27.

What is the ratio of total shapes to circles?

a)

3 : 4

b)

4 : 3

c)

7 : 3

d)

3 : 7

28.

A rate is a ratio that compares

a)

A part to a part

b)

A part to a whole

c)

Quantities with different units

d)

Quantities with the same units

29.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

30.
Water flows from a faucet at a rate of 5 gallons every 25 seconds. At this rate, how many gallons will flow from the faucet in 45 seconds?
a)
9 gallons
b)
5 gallons
c)
11 gallons
d)
40 gallons
31.

Express the ratio as a fraction in simplest form:
18 ounces to 3 ounces

a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
32.
All corresponding angles in similar figures are congruent.  
a)
True
b)
False
33.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
34.
Fernando bought 5 pencils for $1.00.  What is the unit price per pencil?
a)
$0.20
b)
$0.50
c)
$0.95
d)
$0.25
35.
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 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
36.
Charlie Browns Christmas tree is 18 inches tall. The Christmas tree at Mr.Bass' house is 8 ft tall. What is the ratio of Charlie Browns tree to Mr. Bass' Tree?
a)
18/8
b)
8/18
c)
3/16
d)
16/3
37.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
38.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
39.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
40.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
41.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
42.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
43.
Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?
a)
11 in.
b)
13.5 in.
c)
9 in.
d)
20.25 in.
44.
Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
45.
A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long.  What is the height of the second road sign?
a)
5 ft
b)
10 ft
c)
15 ft
d)
12 ft
46.
An Olympic size swimming pool has a length of 50m and a width of 25m.  Elizabeth wants to build a similar pool.  If her pool has a width of 6.25m, what is the length of the pool?
a)
12.5 cm
b)
3.125 cm
c)
100 cm
d)
25 cm
47.
Find side length X.
a)
30
b)
25
c)
15
d)
40
48.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
49.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
50.
All angles in similar figures are congruent.  
a)
True
b)
False
51.
Sides in similar figures must be proportional.  
a)
True
b)
False 
52.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
53.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
54.
Angles in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
55.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
56.

Review the picture. Find the missing side measurement in the picture using a proportion.

a)

x = 900 m

b)

x = 52 m

c)

x = 25 m

d)

x = 0.04 m

57.
What is true about the shape and size of similar figures?
a)
Same shape and same size
b)
Same shape and not the same size
c)
Different shape and same size
d)
Different shape and not the same size
58.
The term "congruent" means ...
a)
matching
b)
similar
c)
corresponding
d)
equal
59.
This symbol stands for ...
a)
similar
b)
congruent
c)
proportional
d)
corresponding
60.
This symbol stands for ...
a)
is corresponding to
b)
is proportional to
c)
is congruent to
d)
is similar to
61.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
62.
Vocabulary:  A proportional drawing of an object.
a)
similar figures
b)
scale drawing
c)
scale
d)
constant of proportionality
63.
Vocabulary:  A ratio between the measurements of the drawing and of the actual object.
a)
scale drawing
b)
constant of proportionality
c)
scale 
d)
unit rate
64.
The length of the car in the drawing is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
65.
A drawing of a flagpole uses the scale 1 in = 4 ft. If the pole measures 12 inches in drawing, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
66.
a)
8 ft
b)
12 ft
c)
12.5 ft
d)
25 ft
67.
Change both measurements to the same unit of measure, and find the scale factor.
1 ft model of a 1 in. fossil 
a)
12/1
b)
6/1
c)
18/1
d)
24/1
68.

When writing scale, which goes on top? ACTUAL or MODEL?

a)

Actual

b)

Model

69.

What is one more than 10?

a)

9

b)

8

c)

10

d)

11

70.

What is the name of the main character in CHRISTMAS STORY?

a)

Kevin

b)

Ralphy

c)

Phineas

d)

Scrooge

71.

What number makes up a dozen

a)

144

b)

12

c)

10

d)

2

72.

What shape is Phineas's head?

a)

Square

b)

Hexagon

c)

Triangle

d)

Rectangle

e)

Heart

73.
Who Is This?
a)
LeBron James 
b)
Stephen Curry
c)
Michael Jordan
d)
Kevin Durant
74.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

75.

What is the ratio of red apples to green apples

a)

7 to 3

b)

4 to 7

c)

4 to 3

d)

3 to 4

76.

A farmer used 518 pounds of fertilizer on 16 acres. How many pounds of fertilizer does Ben use per acre?

a)

12

b)

25.34

c)

32.375

d)

45.431

77.

A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?

a)

3 : 2

b)

3 to 2

c)

6 : 4

d)

2 : 3

78.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
79.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
80.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
81.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
82.
Does the graph show a proportional relationship?
a)
Yes
b)
No
83.
a)

Proportional

b)

Non-proportional

84.
a)

Proportional

b)

Non-proportional

85.
a)

Proportional

b)

Non-proportional

86.
a)

Proportional

b)

Non-proportional

87.
a)

Proportional

b)

Non-proportional

88.
a)

Proportional

b)

Non-proportional

89.
a)

Proportional

b)

Non-proportional

90.
Which of the following rates of change represents the graph shown?
a)
2 boys for every 1 girl
b)
0.5 boys for every 1 girl
c)
6 boys for every 1 girl
d)
3 boys for every 1 girl
91.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
92.

What format do we find the constant unit rate?

a)

x/y

b)

x,y

c)

y/x

d)

y,z

93.

Select all the required conditions to recognize the graph of a proportional relationship?

a)

Straight diagonal line

b)

Line passes through the origin (0,0)

c)

Straight vertical or horizontal line

d)

Curved line

94.

What format do we find the constant unit rate or constant of proportionality(k)?

a)

x/y

b)

x,y

c)

y/x

d)

y,z

95.
The constant of proportionality is also the unit rate.
a)
True
b)
False
96.

Is this graph proportional?

a)

Yes, because it has a straight line

b)

Yes, because it goes through the origin

c)

No, because it doesn't have a straight line

d)

No, because it goes through the origin

97.

is this graph proportional?

a)

Yes, because it goes through the origin and has a straight line

b)

No, because it has a straight line

c)

No, because it goes through the origin

d)

yes, because it has numbers

98.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

99.

k represents

a)

the constant of proportionality

b)

the king

c)

ketchup

d)

a strikeout

100.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
101.

How much does she earn per hour?

a)

$80 per hour

b)

$100 per hour

c)

math

d)

$8 per hour

102.
The ratio of Marvels fans to DC comics fans is 5 to 4. If there are 85 Marvels fans, how many DC comic fans are there? 
a)
68
b)
84
c)
106
d)
58
103.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
104.
a)
8
b)
9
c)
72
d)
12
105.
a)
2
b)
12
c)
108
d)
18
106.
a)
9
b)
12
c)
18
d)
1
107.
a)
3
b)
4
c)
12
d)
8
108.
a)
14
b)
7
c)
2
d)
112
109.
a)
1
b)
4
c)
2.5
d)
10
110.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
111.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
112.

Gracie brought 24 cookies to give to her 3 classes. Tomorrow she has 4 classes, so how many cookies should she bring?

a)

24

b)

32

c)

8

d)

64

113.

If I need 5 cups of flour to make 3 pies, how many pies can I make with 25 cups of flour?

a)

30

b)

15

c)

25

d)

5

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