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Ratio & Proportions Unit Review

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.

The scale of the drawing shown is 1 cm = 3 in. How high is the mug in real life?

a)

3 inches

b)

6 inches

c)

9 inches

d)

12 inches

2.

A floor plan of a doctor's office is shown.

1 inch = 20 ft

What are the actual dimensions of the doctor's office?

a)

length: 30 ft width: 20 feet

b)

length: 60 feet width: 40 feet

c)

length: 90 feet width: 60 feet

d)

length: 20 feet width: 10 feet

3.

In the map, 1/4 inch = 30 miles.

How many miles does 1 inch represent?

a)

30 miles

b)

60 miles

c)

90 miles

d)

120 miles

4.

A model car has a scale of 1/2 cm = 4 inches.

What is the length of the car in real life?

***Don't forget to find out what 1 cm equals!**

a)

90 inches

b)

150 inches

c)

180 inches

d)

240 inches

5.

Jan ran 5 miles in 48 minutes. What was her time per mile?

a)

10 min/mi

b)

9.6 min/mi

c)

about 12 min/mi

d)

9.5 min/mi

6.

A major league baseball player was able to hit 70 home runs in 162 games. Create a unit rate for this information.

a)

2.3 homeruns per 1 game

b)

70 homeruns per 1 game

c)

1 homerun per 2.3 games

d)

cannot be determined

7.

Find the unit rate miles per hour.

a)

24 miles per hour

b)

3 miles per hour

c)

1 miles per hour

d)

8 miles per hour

8.

1500 students and 75 classrooms. Create a unit rate.

a)

20 classrooms to 1 student

b)

20 students to 1 classroom

c)

1,125 classroom to 100 students

d)

not here

9.
What makes a graph proportional?
a)
Straight line
b)
The line goes through the origin
c)
Curvy line
d)
Straight line and the line goes through the origin
10.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

d)

constant

11.
How much does it cost to have your lawn mowed for 2 hours?
a)
$16
b)
$17
c)
$18
d)
$19
12.

Is the graph proportional?

a)

Proportional

b)

nonproportional

13.

Is the graph proportional or non proportional?

a)

Proportional

b)

Non proportional

14.
Does this table represent a proportional relationship?
a)
Yes
b)
No
15.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
16.
Which table shows a proportional relationship?
a)
A
b)
B
c)
C
d)
D
17.

Is the graph shown proportional or non-proportional? Explain how you know.

a)

proportional because it goes to the origin

b)

non-proportional because it doesn't go to the origin

c)

non-proportional because it is not a straight line

18.

Solve for X x8=2540\frac{x}{8}=\frac{25}{40}  

a)

5

b)

12.8

c)

200

d)

480

19.

Solve for X 47=20x\frac{4}{7}=\frac{20}{x}  

a)

35

b)

11.43

c)

140

d)

80

20.

Solve for X x−214=47\frac{x-2}{14}=\frac{4}{7}  

a)

10

b)

14

c)

8.29

d)

26.5

21.

Solve for X x+410=35\frac{x+4}{10}=\frac{3}{5}  

Don't forget to distribute 5(x+4)

You will need to solve a two step equation this time

a)

2

b)

5.2

c)

6

d)

10

22.

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)

1.75 cups milk

b)

2 cups milk

c)

2.25 cups milk

d)

2.5 cups milk

23.

The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2.5 inches, what is the width?

a)

0.7 inches

b)

7.5 inches

c)

9.5 inches

d)

21.5 inches

24.
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?
a)
39 Computers
b)
4.3 Homes
c)
39 Homes
d)
4.3 Computers
25.
A scale model of a whale is being built. The actual length of the whale is 65 feet. The scale of the model is 2 in : 3 ft. What will be the length of the model?
a)
97.5 inches
b)
30.6 inches
c)
41.56 inches
d)
43.33 inches
26.
Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. wide and 4 in. tall? 
a)
17 in.
b)
20 in. 
c)
5 in. 
d)
23 in. 
27.

Heyzzel's favorite food is Elote Loco. She needs 1/4 cup of cheese for every 2 tablespoons of chili powder. If she uses 3 cups of cheese, how many tablespoons of chili powder will she need?

(a)  

28.

Sayed's favorite food is pizza. When he makes the dough he uses 1 tsp of sugar with 2.5 cups of water. If he uses 10 cups of water, how many tsp of sugar will he need?

(a)  

29.
Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72
a)
15 kg for $32.25
b)
4 kg for $8.72
c)
Neither
30.
Identify the best deal.
27 ounces of nacho chips for $3.51
10 ounces of nacho chips for $1.30
a)
27 ounces of nacho chips for $3.51
b)
10 ounces of nacho chips for $1.30
c)
Neither
31.
Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.
$16.52 per 6 yd
$13.85 per 5 yd
a)
$16.52 for 6 yd
b)
$13.85 for 5 yd
c)
Neither
32.
A 20 fl. oz. bottle of orange juice costs $1.80 and a 35 fl. oz. bottle of orange juice costs $3.50. Which is a better buy?
a)
35 fl. oz. for $3.50
b)
20 fl. oz. for $1.80
c)
Neither
33.
There are 6 fourth - grade students, 8 fifth - grade students, and 10 sixth - grade students on the girls soccer team at Truman Elementary School.
What is the ratio of fifth - grade students to sixth - grade students?
a)
4/9
b)
4/5
c)
5/4
d)
9/4
34.
Rob made a playlist and burned it to a CD. There are 10 rock songs, 6 rap songs, and 2 pop songs on the playlist.
What is the ratio of rap songs to all songs?
a)
1 to 3
b)
1 to 2
c)
2 to 1
d)
3 to1
35.
Which describe a ratio of 1 to 1?
a)
touchdown to field goal
b)
field goal to point - after - touchdown
c)
two-point conversion to safety
d)
safety to touchdown
36.
There are 15 cars and 25 trucks in the parking garage. What is the ratio of cars to total vehicles?
a)
3:8
b)
3:5
c)
5:3
d)
8:3
37.
In his last soccer game, Chris made 9 saves and let in 3 goals. What was his ratio of saves to total shots on goal?
a)
3/1
b)
4/3
c)
3/4
d)
1/3
38.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
39.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
40.
Find missing side
a)
5
b)
7
c)
9
d)
11
41.
Find side length X.
a)
30
b)
25
c)
15
d)
40
42.
Find the missing side length.
a)
32
b)
35
c)
20
d)
16
43.
Find the missing side length. 
a)
9
b)
8
c)
6
d)
12
44.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
45.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
46.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
47.
Sides in similar figures must be proportional.  
a)
True
b)
False 
48.
A group of students were asked about their favorite foods. Out of the 50 students surveyed, 30 listed pizza among their favorite foods. At that rate, if 190 students were surveyed, how many would you expect to list pizza as a favorite food?
a)
114
b)
55
c)
48
d)
168
49.
Krystle is selling magazine subscriptions as part of a school fundraiser. During the first 72 days of the fundraiser Krystle sold 56 subscriptions. If Krystle maintained that rate, how many subscriptions would Krystle sell in a 216-day period?
a)
168
b)
55
c)
48
d)
114
50.
In his first 40 games, Rashad hit 88 homeruns. If he continues at that rate, how many homeruns will Rashad hit in his next 60 games?
a)
132
b)
120
c)
216
d)
100