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Proportions

Total questions: 57

Worksheet time: 2hrs 22mins

Name
Class
Date
1.
There are 17 boys and 20 girls in the Renner Math Club. Write the ratio of girls to total number of players.
What type of ratio is this?
a)
17:20 (Part to Part)
b)
20:17 (Part to Part)
c)
17: 37 (Part to Whole)
d)
20:37  (Part to Whole)
2.
What type of ratio is the following?
20 volleyball players to 32 basketball players
a)
part to part
b)
part to whole
c)
whole to part
d)
whole to whole
3.
Are the ratios equivalent?
a)
Yes
b)
No
4.
Solve for the missing piece?
a)
55
b)
2695
c)
77
d)
96.25
5.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
6.
How much money would you make in 6 hours?
a)
$44
b)
$9
c)
$54
d)
$45
7.
X= hours and Y= Money
How much would you get paid for 10 hours of work?
a)
$64
b)
$72
c)
$8
d)
$80
8.
Solve the proportion
a)
144
b)
4
c)
6
d)
9
9.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
10.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles in 1 hour
b)
55 miles in 1 hour
c)
110 miles in 1 hour
d)
44 miles in 1 hour
11.
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
12.
Which is the better deal?
Doritos
$4.39 for 11.5 oz
OR
Cheetos
$2.24 for 9.75 oz
a)
Doritos
b)
Cheetos
13.
There are 56 cookies and 14 cupcakes leftover at a bake sale. What ratio goes from cupcakes to cookies? Your answer It must be in simplest form.
a)
56 to 14
b)
1 to 4
c)
2 to 9
d)
14 to 56
14.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
15.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
16 feet
b)
21 feet
c)
24 feet
d)
28 feet
16.
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
17.
Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz
a)
Oreos
b)
Chips Ahoy
18.
Dentists recommend people brush their teeth at least twice per day for two minutes each time. At this rate, how many minutes per week would a person spend brushing their teeth?
a)
14 minutes
b)
7 minutes
c)
30 minutes
d)
28 minutes
19.
A bus traveled 315 miles in 9 hours. At this rate, how far did the bus travel in 3 hours? 
a)
105 miles
b)
35 miles
c)
135 miles
d)
120 miles
20.
 The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm: 50 miles. Find the actual distances in between Houston and Austin.
a)
45 miles 
b)
317. 5 miles
c)
145 miles 
d)
225 miles 
21.
The distance from Denver to Chicago on the map is 3 inches. If the scale of the map is 1 inch = 300 miles, find the actual distance between the two cities.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
22.
**** A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?
a)
2 feet = 50 yards
b)
1 foot = 200 yards
c)
1 foot = 100 yards
d)
1 foot = 50 yards
23.
5. What is the scale of a drawing where a 6 m wall is 4 cm long?
a)
1 cm = .66 m
b)
1 cm = 1.5 m
c)
1 cm = 3 m
d)
1 cm = 4 m
24.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
25.
Hunter wants to go on vacation. The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
26.
The scale drawing car length 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
27.
Find the unit rate.
Julio walks 3.5 miles in 1.25 hours
a)
2.5 miles per hour
b)
3.25 miles per hour
c)
3 miles per hour
d)
2.8 miles per hour
28.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
29.
If the rangers won 100 games and lost 60, what is the simplified ratio of wins to losses?
a)
10: 6
b)
5:3
c)
6:10
d)
3:5
30.
Which of these ratios is equivalent to 3:4?
a)
12:9
b)
9:20
c)
9:12
d)
803:804
31.
What word can be used when writing a ratio?
a)
a
b)
be
c)
to
d)
and
32.
What is a scale drawing?
a)
A drawing that shows a real object enlarged or reduced
b)
A drawing of the weight of an object
c)
A life size drawing of an object
d)
A drawing that shows all the sdies of a building
33.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
34.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
35.
Maura is building a 2 ft. tall model of the Gateway Arch in St. Louis, Missouri.  The scale is 3 in : 78.75 ft.  Estimate the height of the actual arch.
a)
630
b)
600
c)
400
d)
200
36.
Solve the proportion.
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
37.
Do the ratios form a proportion?
____ = ____
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
38.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
39.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
40.
Review the picture.  Find the missing side measurement in the picture using a proportion.
a)
x = 900 m
b)
25 m
c)
x = 25 m
d)
x = 0.04 m
41.
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
42.
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.
43.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
44.
Find y.
a)
144
b)
18
c)
72
d)
12
45.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
46.
a)
Tangled
b)
Frozen
c)
Cinderella
d)
Princess and the Frog
47.
Name this movie?
a)
Wiz Kidz
b)
Maze Runner
c)
Harry Potter
d)
Pixel 
48.
a)
The Avengers
b)
Ant-man
c)
Batman Begins
d)
Cinderella
49.
a)
Good friends
b)
Suits
c)
Men with glasses
d)
Men in black
50.
Name this character from the movie "Inside Out"
a)
Anger
b)
Fear
c)
Sadness
d)
Joy
51.
What is  character from 
a)
Peter Pan 
b)
hook 
c)
once upon a time 
52.
At a restaurant 3 people were at a table when the waiter brought out one-half of a plate of nachos.  If they split the plate evenly, how much would each person get?
a)
6
b)
1/6
c)
12
d)
9
53.
A hamburger shop used one-half of a box of French fries every day they were open.  How many days would 9 whole boxes last them?
a)
1/18
b)
18
c)
7
d)
1/2
54.
Of 100 children in Grade 5 and Grade 6, three-quarters have pets; 40 children have a dog, and 18 children have a cat. How many children have other kinds of pets? 
a)
17 children
b)
300 children
c)
75 children
d)
40 children
55.
Of the 95 children in 6th grade, 3/5 went to holiday parties. How many students went to holiday parties in all?
a)
285 students
b)
75 students
c)
57 students
d)
258 students
56.
Order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
57.
Which number is between -2 and -3?
a)
-5/2
b)
-7/2
c)
-10/3
d)
-3/2