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WorksheetsRatios and proportions
Total questions: 140
Worksheet time: 2hrs 19mins
Name
Class
Date
1.
A ratio is...
a)
the difference between two numbers.
b)
a comparison of two numbers by division.
c)
a comparison of two numbers by multiplication.
d)
the sum of two numbers.
2.
Tell if the ratio is part-to-part or part-to-whole.
4 apples to 3 oranges
4 apples to 3 oranges
a)
Part-to-Part
b)
Part-to-Whole
3.
Tell if the ratio is part-to-part or part-to-whole.
10 questions : 3 incorrect
10 questions : 3 incorrect
a)
Part-to-Part
b)
Part-to-Whole
4.
Tell if the ratio is part-to-part or part-to-whole.
In a a mini bag of M&Ms, there are 16 M&Ms and 5 of them are red.
In a a mini bag of M&Ms, there are 16 M&Ms and 5 of them are red.
a)
Part-to-Part
b)
Part-to-Whole
5.
Tell if the ratio is part-to-part or part-to-whole.
4 inches of snow on Tuesday to 6 inches of snow on Friday
4 inches of snow on Tuesday to 6 inches of snow on Friday
a)
Part-to-Part
b)
Part-to-Whole
6.
Write the ratio as a fraction: 20 people RSVP'd to the party out of 30 invitees.
a)
⅞
b)
⅙
c)
½
d)
⅔
7.
Write the ratio as a fraction: 4:16
a)
¾
b)
¼
c)
⅓
d)
⅝
8.
Write the ratio as a colon: ⅝
a)
8:5
b)
10:18
c)
5:8
d)
12:4
9.
Which ratio is greater?
4:1 or 6:2
4:1 or 6:2
a)
4:1
b)
6:2
c)
They are equal
10.
Which ratio is greater?
⅞ OR ½
⅞ OR ½
a)
⅞
b)
½
c)
They are equal
11.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
12.
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
13.
What is an equivalent ratio to 3/4?
a)
1/4
b)
4/5
c)
12/16
d)
14/18
14.
What is a Ratio?
a)
Is a comparison of two quantities
b)
To multiply two fractions
c)
A number over another number
d)
Two decimals that can be multiplied
15.
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
16.
There are 13 boys and 10 girls in the classroom. What is the ratio of boys to girls?
a)
10 to 13
b)
23 to 13
c)
13 to 10
d)
23 to 10
17.
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
18.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
19.
Which ratio represents the relationship of bananas to apples?
a)
3:8
b)
8:3
c)
3:2
d)
2:3
20.
The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to all pets?
a)
2:4
b)
2:5
c)
2:11
d)
11:2
21.
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
22.
Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
23.
Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
24.
Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
25.
a)
a
b)
b
c)
c
d)
d
26.
What is the ratio of stars to circles?
a)
stars/circles = 11/5
b)
stars/circles = 5/11
c)
circles/stars = 5/11
27.
What is the ratio of the green apples to all of the apples?
a)
4 green to 3 red apples
b)
3 green to 4 red apples
c)
3 green to 7 apples
d)
7 apples to 3 green
28.
A container holds 20 total marbles. There are 13 red marbles and the rest are blue. Choose the correct ratio of blue marbles to red marbles.
a)
13:7
b)
7:13
c)
20:7
d)
13:20
29.
Beth went to a petting zoo with 23 animals. 9 were goats, 6 were sheep, and the rest were dogs. What is the ratio of dogs to goats?
a)
9 to 6
b)
8 to 9
c)
9 to 23
d)
6 to 9
30.
Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players?
a)
10 : 3
b)
10:13
c)
3 : 10
d)
3:13
31.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
32.
Simplify the ratio of
35 : 14
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
33.
88 students for 4 classes
How many students per class?
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
34.
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
35.
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
36.
a)
a
b)
b
c)
c
d)
d
37.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
38.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
39.
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
40.
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.
41.
What is the ratio of girls who chose soccer to girls who chose basketball?
a)
6 girls chose soccer for every 7 girls chose basketball.
b)
7 girls chose soccer for every 6 girls chose basketball.
c)
6 girls chose basketball for every 7 girls chose soccer.
d)
6 girls chose soccer for every 5 girls chose basketball.
42.
Which of the following options 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
43.
When looking at Gene's Movie Collection, what does the ratio 38:40 describe?
a)
The number of adventure, horror, or documentary movies Gene has compared to the total amount of movies.
b)
The number of drama and comedy movies Gene has compared to the number of horror and sci-fi movies he has.
c)
The amount of horror or comedy movies Gene has.
d)
All of the movies that aren't documentary compared to the total amount of movies Gene has.
44.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$35 per pound
c)
$5 per pound
d)
$0.125 per pound
45.
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
46.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$.50 per pound
b)
$1.25 per pound
c)
$3 per pound
d)
$2.50 per pound
47.
A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?
a)
16 customers
b)
10.5 customers
c)
7.5 customers
d)
14 customers
48.
How fast is Ernie travelling?
a)
70 miles per hour
b)
55 miles per hour
c)
65 miles per hour
d)
75 miles per hour
49.
After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?
a)
400 miles
b)
325 miles
c)
575 miles
d)
650 miles
50.
If Antonia can type 408 words in 4 minutes, how many words can she type per minute?
a)
408 words per minute
b)
100 words per minute
c)
400 words per minute
d)
102 words per minute
51.
It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?
a)
$3.60
b)
$3.55
c)
$3.40
d)
$3.50
52.
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
53.
You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?
a)
$4.95 per pizza
b)
$5.75 per pizza
c)
$7.25 per pizza
d)
$6.50 per pizza
54.
You go to the grocery store to buy dog food. The store has three sizes available:
A 20-lb bag for $23.44
An 8-lb bag for $9.88
A 40-lb bag for $49.00
Which size bag has the lowest cost per pound rounded to the nearest cent?
a)
The 8-lb bag
b)
The 20-lb bag
c)
The 40-lb bag
d)
I have a cat
55.
Henry can write 5 ¼ pages of his novel in 3 hours. How many pages does he write per hour?
a)
15.25 pages per hour
b)
15.75 pages per hour
c)
1.75 pages per hour
d)
not here
56.
Luke can paint 91 portraits in 7 weeks. How many portraits does he paint each week?
a)
637 cars per week
b)
13
c)
.08 portraits per week
d)
13 portraits per week
57.
At the market, 7 apples cost $4.55. What is the cost per apple?
a)
1.54 apples per dollar
b)
1.54 dollars per apple
c)
$0.65 per apple
d)
not here
58.
Ken can walk 40 dogs in 8 hours. Determine how many dogs he can walk in one hour.
a)
5 hours per dog
b)
5 dogs per hour
c)
320 dogs per hour
d)
not here
59.
Alicia drove at a constant speed and traveled 182.4 miles in 3 hours. What is her rate in miles per hour?
a)
60.8 hours per mile
b)
547.2 miles per hour
c)
56 miles per hour
d)
60.8 miles per hour
60.
Charles can type 675 words in 9 minutes. How many words can he type per minute?
a)
75 words per minute
b)
6075 words per minute
c)
86 words per minute
d)
75 minutes per word
61.
How are rates and unit rates similar?
a)
They both are fractions.
b)
They both compare two different quantities of information.
c)
They are not similar at all.
d)
not here
62.
A rate is a ratio that compares 2 different_______________________________.
a)
people
b)
units/measurements
c)
fractions
d)
denominators
63.
A unit rate is a ratio in fraction form that has a _____________________________ of 1.
a)
numerator
b)
bottom number
c)
fraction
d)
denominator
64.
How are rates and unit rates different?
a)
A rate has a denominator of 1. A unit rate does not.
b)
A rate is just like a fraction. A unit rate is a ratio.
c)
Rates involve a measurement of time, but unit rates do not.
d)
A rate compares two different quantities. A unit rate has a denominator of 1.
65.
One real world example of when we use rates and unit rates is ______________________________________.
a)
miles per hour
b)
apples to oranges
c)
girls to boys
d)
teachers to students
66.
The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to all pets?
a)
2:4
b)
2:5
c)
2:11
d)
11:2
67.
Which of the following is a UNIT RATE?
a)
10 miles / 2 hours
b)
$6 for each hour
c)
1 box / $3
d)
15 pounds every 5 servings
68.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
69.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
70.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
71.
The vertical number line in the coordinate plane is called what?
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
72.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
73.
What are the coordinates of Point C?
a)
(-4, -2)
b)
(-2,-4)
74.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
75.
What is the distance from Point A to Point B?
a)
8 units
b)
16 units
c)
0 units
d)
32 units
76.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
77.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
78.
In which quadrant is the following point?
(-3, 12)
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
79.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
80.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
81.
a)
I
b)
IV
c)
III
d)
II
82.
The axes divide the coordinate plane into four sections called what?
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
83.
Name the quadrant where POINT A is located.
a)
Quadrant I
b)
Quadrant IV
c)
No Quadrant
d)
Quadrant II
84.
Name the quadrant where POINT C is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
85.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
86.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
87.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
88.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
89.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
90.
The coordinate plane is divided by a horizontal number line called what?
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
91.
The vertical number line in the coordinate plane is called what?
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
92.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
93.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
94.
The Y axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
95.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
96.
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
97.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
98.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
99.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
100.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
101.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
102.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
103.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
104.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
105.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
106.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
107.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
108.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
109.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
110.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
111.
Write an equation for this relationship.
a)
y=1/5x
b)
y=1/2x
c)
y=2x
d)
y=5x
112.
Which line shows a proportional relationship between x and y?
a)
Line L
b)
Line M
113.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
114.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
115.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
116.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
117.
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)
118.
What is the constant of proportionality?
a)
15
b)
5
c)
75
d)
25
119.
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
120.
How do you find k?
a)
x/y
b)
y/x
c)
y=kx
d)
x ⋅ y
121.
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
122.
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
123.
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
124.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
125.
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
126.
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.
127.
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.
128.
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
129.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
130.
How many different ways can you write a ratio
a)
1
b)
2
c)
3
d)
4
131.
Solve for x
a)
x = 19.6
b)
x = 5/98
c)
x = 101/5
132.
Solve for x
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
133.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
134.
Solve the proportion.
a)
10.8
b)
7.5
135.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
136.
Solve for x
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
137.
Explain your answer.
a)
1
b)
3
c)
9
d)
8
138.
Solve for x
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
139.
Solve for x
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
140.
Solve for x
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
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