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Unit 3 Mixed Review

Total questions: 125

Worksheet time: 6hrs 15mins

Name
Class
Date
1.
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
2.
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
3.
What number is missing?
a)
12
b)
3
c)
11
d)
13
4.
What is B?
a)
3
b)
9
c)
2
d)
6
5.
What is C?
a)
80
b)
24
c)
96
d)
92
6.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

7.

Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work.

a)

$60.00

b)

$20.00

c)

$40.00

d)

$10.00

8.
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
9.
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
10.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

4/6

c)

1/3

d)

10/16

11.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
12.
What is the ratio of green marbles to red marbles?
a)
3/2
b)
3/1
c)
3/3
d)
2/3
13.
What is the ratio of red circles to blue stars?
a)
3:4
b)
7/4
c)
11/4
d)
4 to 7
14.
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
15.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
16.
A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?
a)
Slower rate
b)
Faster rate
c)
He didn't grade them
d)
Everyone got 100
17.
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
18.
Four pounds of bananas cost $6.  What is the cost per pound of bananas?
a)
$24 per pound
b)
$1.50 per pound
c)
$1 per pound
d)
$6 per pound
19.
Which is the "better buy"?  A 12 ounce can of corn for $1.92 of  a 20 ounce can of corn for $3.00?
a)
They are the same
b)
The  20 ounce can
c)
The 12 ounce can
20.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
21.
Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz
a)
Oreos
b)
Chips Ahoy
22.
Which is the slowest reading rate?
a)
3 pages in 9 minutes
b)
4 pages in 10 minutes
c)
5 pages in 13 minutes
d)
7 pages in 20 minutes
23.

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

24.

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

a)

0

b)

3

c)

1

d)

2

25.

If Maya makes $10 an hour at her after school job, how many hours will it take her to earn $150?

a)

10 hours

b)

1.5 hours

c)

15 hours

d)

20 hours

26.

Julie can type about 300 words in 5 minutes. At this rate, about how many words can she type in an hour (60 minutes=1 hour)?

a)

3000 words in an hour

b)

3600 words in an hour

c)

60 words in an hour

d)

5000 words in an hour

27.

The Williams family bought 4 concert tickets for $148. What was the price per ticket?

a)

$40

b)

$37

c)

$32

d)

$20

28.
a)
8
b)
9
c)
72
d)
12
29.
a)
9
b)
12
c)
18
d)
1
30.
a)
14
b)
7
c)
2
d)
112
31.
a)
48
b)
120
c)
2.5
d)
15
32.
a)
1
b)
4
c)
2.5
d)
10
33.

The flag pole is 6 feet tall with a shadow of 10 feet. Using proportions, how tall is the pine tree?

a)

10 ft

b)

12 ft

c)

20 ft

d)

18 ft

34.

Mrs. Sparks has been craving smoothies lately. She buys a 20oz chocolate smoothie for $7. Mrs. Jones also buys a 17oz chocolate smoothie. How much is Mrs. Jones smoothie?

a)

$5.95

b)

$6

c)

8.24

35.

Ms. Hensley's family owns a green bean farm. If Ms. Hensley can grow 225 bushels in 3 acres, how many bushels can she grow in 9.6 acres?

a)

720 bushels

b)

675 bushels

c)

75 bushels

36.

A hiker want to determine the height of a cliff. She has measured her height (5.8ft) and shadow (7ft). She knows the cliff casts a shadow of 50ft. How tall is the cliff?

a)

41.4ft

b)

31.6ft

c)

35.6ft

37.
Two ratios that are equal are
a)
similar sides
b)
unit rates
c)
congruent
d)
proportional
38.

Simplify the ratio of

20 to 25

a)

1 to 5

b)

2 to 5

c)

3 to 5

d)

4 to 5

39.

The United States Air Force has 19 women

for every 81 men enlisted. If a squadron has

250 members, approximately how many are

men?

a)

about 203

b)

about 3

c)

about 100

d)

about 250

40.

A greyhound can run 330 ft in 5 seconds. How far can they run in 12 seconds?

a)

66 ft

b)

634 ft

c)

792 ft

d)

500 ft

41.
A variable represents what is ______________. 
a)
the answer
b)
the operation
c)
the difference
d)
unknown 
42.

A variable is . . .

a)

an awesome number

b)

a number represented by a letter

c)

an infinite number

d)

a number multiplied by another number

43.
Solve for c
a)
-7/2
b)
-2
c)
-1
d)
-13/2
44.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
45.
Solve for w
a)
10/3
b)
50/9
c)
46/9
d)
22/3
46.
Solve for c
a)
-7/2
b)
-2
c)
-1
d)
-13/2
47.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
48.
All angles in similar figures are congruent.  
a)
True
b)
False
49.
Find the missing measure. 
a)
12
b)
14
c)
196
d)
168
50.
Solve for x.
a)
100
b)
143
c)
4
d)
95
51.
Click to see image.
a)
A
b)
B
c)
C
d)
D
52.
Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?
a)
3 ft
b)
7.5 ft
c)
1.2 ft.
d)
0.8 ft.
53.
Click to see question.
a)
100 ft.
b)
33.5 ft.
c)
536 ft.
d)
1206 ft.
54.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
55.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
56.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
57.
a)
4 ft
b)
15 ft
c)
18 ft
d)
2 ft
58.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

59.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

60.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

a)

13 m

b)

2 m

c)

1 m

d)

52 m

61.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)

1 inch = 40 miles
62.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
63.
A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.
a)
7.5
b)
13.5
c)
1.5
d)
1.7
64.
If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?
a)
1cm : 9ft
b)
1cm : 8ft
c)
4cm : 1ft
d)
1cm : 4ft
65.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
66.

Which graphs are proportional? Select all.

a)

A

b)

B

c)

C

d)

D

67.

What is the constant of proportionality? Remember to simplify your answer.

a)

k=9/3

b)

k=6

c)

k=9

d)

k=3

e)

y=1

68.

What is the constant of proportionality? Remember to simplify your answer.

a)

k=5

b)

k=6

c)

k=30

d)

k=1

e)

k= 306\frac{30}{6}

69.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
70.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
71.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
72.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
73.
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
74.
Does the graph show a proportional relationship?
a)
Yes
b)
No
75.
Students at Appleton Middle School recently voted for a school mascot. The results are shown in the circle graph below. Which mascot received 30% of the votes?
a)
tiger
b)
stallion
c)
bull
d)
lion
76.
Express 0.87 as a percent.
a)
0.87%
b)
8.7%
c)
87%
d)
870%
77.
Express 56% as a decimal.
a)
0.056
b)
5.6
c)
0.56
d)
0.0056
78.
Express 0.08 as a percent.
a)
0.08%
b)
80%
c)
8%
d)
0.008%
79.
What fraction of the students in the 6th grade participate in scouts?
a)
1/4
b)
1/2
c)
1/10
d)
3/20
80.
In the graph, what fraction of people conserve water?
a)
3/4
b)
1 2/5
c)
15/20
d)
75/100
81.
Write a percent to represent the shaded portion of the model.
a)
16%
b)
42%
c)
64%
d)
80%
82.
Express 11/50 as a percent.
a)
220%
b)
22%
c)
50%
d)
55%
83.
Express 40% as a fraction in simplest form.
a)
8/25
b)
4/5
c)
2/5
d)
2/25
84.
There are 4 trombones out of 25 instruments in the Landers town band. What percent of the instruments are trombones?
a)
4%
b)
20%
c)
16%
d)
25%
85.
Order 2/3, 4/5, 8/15 and 3/5 from least to greatest
a)
4/5, 2/3, 3/5, 8/15
b)
8/15, 3/5, 2/3, 4/5
c)
2/3, 3/5, 4/5, 8/15
d)
2/3, 4/5, 3/5, 8/15
86.
Compare 2/5 to 0.2
a)
<
b)
>
c)
=
87.
Compare 35% to 3/8
a)
<
b)
>
c)
=
88.
Order 5/8, 0.5, 58.3% from greatest to least.
a)
5/8, 0.5, 58.3%
b)
5/8, 58.3%, 0.5
c)
58.3%, 5/8, 0.5
d)
58.3%, 0.5, 5/8
89.
Jennifer has a coupon for 25% off her entire meal of $17.89. What is the discount?
a)
$13.42
b)
$4.47
c)
$4.48
d)
$0.44
90.
The romantic couple went out for dinner. They spent $78.89 for dinner. Tax was 8% and the tip was 20%. What was the total bill?
a)
$6.31
b)
$15.78
c)
$78.89
d)
$100.90
91.
Michael spent $210 on school supplies and books. This amount was 30% of his savings. How much was his savings?
a)
$700
b)
$63
c)
$630
d)
$763
92.
The sales tax on a new car is $979.60. The car sold for $15,800. What is the sales tax rate? 
a)
5%
b)
0.062
c)
6.2%
d)
62%
93.
A waitress recieved a 15% tip. If her tip was $8.25 how much was the bill?
a)
$1.23
b)
$55
c)
$16.50
d)
$1.24
94.
How much commission would a solesperson earn for selling a $25,000. car? He recieves a 18% commission.
a)
$4500
b)
$45
c)
$29,500
d)
$2500
95.
On a 50 question test, Danielle answered 78% of the questions correctly. How many questions did she get wrong?
a)
39
b)
11
c)
28
d)
78
96.
Skateboards are on slae for 30% off. The regular price of a skateboard is $89,what is the discounted price?
a)
$26.70
b)
$36.70
c)
$62.30
d)
$54.30
97.
Emily receives a 9.8% raise. She currently earns $1789.46 per month. What will her new monthly earnings be?
a)
$175.37
b)
$1964.83
c)
$1753.67
d)
$1950.51
98.
75% of students in Grace's class are 60 inches or taller. If there are 20 students in the class, how many are 60 inches or taller?
a)
15
b)
5
c)
7
d)
12
99.

Find 250% of 25

(a)  

100.

9 is 45% of what number?

(a)  

101.

What percent of 60 is 12?

(a)  

102.

What percent of 40 is 9?

(a)  

103.
Sally went to the clearance rack at a department store and found a shirt she wanted to buy.  The shirt was $36.00 and is on sale for $24.00.  What is the percent of the decrease?
a)
33%
b)
67%
c)
50%
d)
34%
104.
In 1999, the price of unleaded fuel was $1.09.  In 2015, the price of unleaded fuel is $1.89.  What is the percent change?
a)
173% increase
b)
73% increase
c)
73% decrease
d)
27% increase
105.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
106.
Solve: 4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
107.
Find the Percent of Change.  Round to nearest Percent.
What is the markup rate on a $470 ring that is now $634.50?
a)
26% Decrease
b)
35% Decrease
c)
35% Increase
d)
26% Increase
108.
Find the Percent of Change.  Round to nearest Percent.
Microwave:  Originally $96;  Markup to $115.20
a)
20% Increase
b)
17% Increase
c)
20% Decrease 
d)
17% Decrease
109.
Find the Percent of Change.  Round to nearest Percent. 
From 45 mph to 24 mph
a)
47% Increase
b)
88% Increase
c)
88%  Decrease
d)
47% Decrease
110.
 A DVD movie originally cost $24.99. Its current price is $19.99. What is the percent of change rounded to the nearest percent?
a)
20%
b)
20.008%
c)
25%
d)
25.01%
111.
A car dealer raised the price of a car from $10,500 to $11,000. What was the percent of change?
a)
4.76% increase
b)
4.54 % increase
c)
4.54% decrease
d)
4.76% decrease
112.
Kate had $2,251.35 in her bank account. Currently, she has $1,975.86 in her account. Find the percent of change rounded to the nearest percent.
a)
12% decrease
b)
12% increase
c)
14% increase
d)
14% decrease
113.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
114.
Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?
a)
95
b)
105
c)
125
d)
135
115.
Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?
a)
$120
b)
$144
c)
$1,200
d)
$1,440
116.
Jenna borrowed $5,000 for 3 years and had to pay $1,350 simple interest at the end of that time. What rate of interest did she pay?
a)
6%
b)
6%
c)
8%
d)
9%
117.
The simple interest formula is I=Prt.  What does the t represent?
a)
Principle
b)
Interest
c)
Time, in hours
d)
Time, in years
118.
Convert 18 months to years. 
a)
18 Years
b)
1.5 Years
c)
.18 Years
d)
You cannot change it to years.
119.
What does the "I" in the interest formula stand for?
a)
Important
b)
Interest
c)
Internet
d)
Igloo
120.
What does the "r" in the interest formula stand for?
a)
Principal
b)
Interest
c)
rate
d)
time
121.
The Principal and Interest are always___________.
a)
fraction
b)
decimal
c)
percent
d)
money
122.
The simple interest formula is I=Prt.  The P represents the principle.  The principle is ___________________.  
a)
the amount of money borrowed or deposited
b)
the percent interest for his year
c)
the amount taxed
d)
the amount the bank owes you for being a customer at their bank
123.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
124.

Calculate the interest. I = PRT,

Principal = $1000,

Rate = 6%,

Time = 2 years

a)

$100

b)

$120

c)

$180

d)

1200

125.
Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase.  The bank said that she could get a simple interest rate of 8% for 5 years.  What is the total amount that Beyonce will pay for the chair?
a)
$2600
b)
$910
c)
$9100
d)
$260