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Unit 4 Review

Total questions: 80

Worksheet time: 20hrs 0mins

Name
Class
Date
1.

A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)

a)

12:18

b)

3:2

c)

30:18

d)

18:7

2.
Simplify 12:36
a)
6:18
b)
3:9
c)
1:3
d)
3:1
3.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 : 5
b)
10 : 13
c)
3:4
d)
3:5
4.
Determine if the ratios are proportional.
4/5 and 15/20
a)
Yes
b)
No
5.
A class has 30 students. 18 are boys. What is the ratio of boys to girls?
a)
12:18
b)
3:2
c)
30:18
d)
18:7
6.
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
7.

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

8.

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

9.

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

10.

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

11.
An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.
a)
8 pack
b)
12 pack
12.
Calculate the rate of change.
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
13.

What is the constant rate of change?

a)

Not here.

b)

$80 per month.

c)

$82 per month.

d)

$41 per month.

14.
The table shows the cost of long distance calls based on the number of minutes used. Is there a constant rate of change, and if so what is it?
a)
Yes, 10 calls per minute
b)
Yes, $.10 per minute
c)
Yes, $.40 per minute
d)
Not a constant rate
15.
a)
40 CALORIES PER MIN.
b)
15 CALORIES PER MIN.
c)
4 CALORIES PER MIN.
d)
60 CALORIES PER MIN.
16.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
17.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
18.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

19.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

20.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

21.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
22.

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

a)

3.6

b)

2.5

c)

2.4

d)

.42

23.

A car travels 50 km in 40 minutes.

How many km does the car travel in 20 minutes?

a)

25 km

b)

60 km

c)

1.25 km

d)

70 km

24.
Solve for a
a)
29/12
b)
41/12
c)
107/12
d)
13
25.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
26.
**** 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
27.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
28.

Irene measured a shopping center and made a scale drawing. The scale she used was 2 inches : 1 foot. If a bakery in the shopping center is 104 inches in the drawing, how long is the actual bakery?

a)

52 ft

b)

208 ft

29.
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
30.
The scale of a mug in a picture is ½ in.=3 cm. Find the actual length of the 4 in. coffee mug.
a)
24 cm
b)
6 cm
c)
30 cm
d)
13 cm
31.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
32.
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.
33.
Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?
a)
3 units
b)
11.6 units
c)
5 units
d)
4.5 units
34.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
35.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
36.
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
37.
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
38.
a)
205
b)
105
c)
230
d)
135
39.
a)
15
b)
13
c)
11
d)
17
40.
78 is what percent of 450?
a)
5%
b)
.17
c)
17%
d)
18%
41.
34% of what number is 51?
a)
69
b)
71
c)
150
d)
196
42.

A student made an 85% on a test with 25 questions. What is the number of questions that the student answered correctly? Round to the nearest whole number.

a)

21 questions

b)

22 qestions

c)

23 questions

d)

24 questions

43.

Martin's class has 28 students in it. 25% of those students are home sick today. How many students are home sick?

a)

4 students

b)

7 students

c)

11 students

d)

13 students

44.
Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How many students do not take the bus to school?
a)
15
b)
20
c)
30
d)
35
45.

Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?

a)

94%

b)

86%

c)

83%

d)

90%

46.
Mrs. Adele is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost before taxes?
a)
$3.75
b)
$18.75
c)
$15.25
d)
$11.25
47.
A pair of boots are $94.99.  They are 25% off. With this discount, what is the sale price? Round to nearest cent if necessary.
a)
$71.24
b)
$118.74
c)
23.7475
d)
$23.75
48.
 If you receive 25% off an item costing $22.00, how much money do you save?
a)
$ 5.50
b)
$ 4.25
c)
$6.00
d)
$7.35
49.
You want to buy a shirt.  The original price was $27, and the sale says 25% off.  How much will pay for the shirt?
a)
0.25
b)
33.75
c)
6.75
d)
20.25
50.
You want to buy some groceries.  There is a coupon that offers a 15% discount on your total bill.  Your bill comes to $76.  How much will you pay for your groceries?
a)
$11.40
b)
$0.15
c)
$64.60
d)
$77.40
51.
 A store pays $1.50 for a bag of candy.  If the store wants to mark-up the price 60%, for how much will the store sell the bag of candy?

a)
$0.60
b)
$2.40
c)
$0.90
d)
$6.00
52.

A store pays $32.00 for each video game. The store’s percent of mark up is 75%. Which shows the retail price of the video game?

a)

$60.00

b)

$56.00

c)

$24.00

d)

$8.00

53.

Mrs. Allison buys Gucci bags wholesale for $28.00 and marks them up 900% to sell on her online store, what is the selling price of the bags?

a)

$280.00

b)

$252.00

c)

$928.00

d)

$224.00

54.

A computer store used a markup rate of 40%. Find the selling price of a computer game that costs $25.

a)

$35.50

b)

$15

c)

$33

d)

$35

55.

The Ipad costs $850, and has a sales tax of 11%. What is the final cost?

a)

$850

b)

$875

c)

$943.50

d)

$950

56.

The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?

a)

$500

b)

$575

c)

$515

d)

$550

57.

The shirt that you bought was $20. The sales tax was 15%, what was the final price?

a)

$20

b)

$22

c)

$23

d)

$17

58.

The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.

a)

$900

b)

$990

c)

$810

d)

$1035

59.
Mr. Sam is buying some DVDs. They total to $35.50. The sales tax is 4.5%. When she goes to pay, how much will she owe?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$2.50
60.

You went to Denny's for breakfast and you total bill was $12.37. You wanted to leave a 20% tip. How much did you pay including a tip?

a)

$2.474

b)

$2.47

c)

$14.844

d)

$14.84

61.

Jonathan went to Chili's with his mom for lunch. Their total bill was $41.65 and they wanted to leave a 22% tip. How much did they leave for a tip?

a)

$9.10

b)

$9.163

c)

22%

d)

$9.16

62.

Lauren went to Buffalo Wild Wings with her friends for dinner. Her total bill was $18.75 and she wanted to leave an 18% tip. How much did Lauren leave for a tip?

a)

$3.38

b)

$3.375

c)

$3.37

d)

$3.30

63.

Luis wants to buy a skateboard that usually sells for $80. All merchandise is discounted 20%. What is the total cost of the skateboard if Luis has to pay a state sales take of 6%?

a)

$3.84

b)

$64

c)

$67.84

d)

$101.76

64.

Beth works at a car lot. This week she sells $23,200 in cars. She earns 4% commission for all the cars she sells. How much will she earn this week?

a)

24,128

b)

928

c)

1028

d)

92.8

65.

Timothy earns a 15% commission on each household appliance he sells. If he sells 6 toasters at $20 each, how much does he earn in commission?

a)

$18

b)

$3

c)

$17

d)

$4

66.

Felipe earns 5% commission on his sales at Best Buy. One week his sales totaled $9,650. What was his commission for the week?

a)

$9,167.50

b)

$482.50

c)

$965

d)

$487.50

67.

Find the percent of change from 10 inches to 14 inches.

(a)  

68.

Find the percent of change from 48 to 36.

(a)  

69.

Find the percent of change from $52 to $125. Round your answer to the nearest whole percent.

(a)  

70.
Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
71.
Find the PERCENT of Change.
The original cost was $50 and the new cost is $60. 
a)
Increase 20%
b)
Increase 16.67%
c)
Increase $10
d)
Decrease $10
72.
Find the percent of change if the original cost was $5 and the new cost is $1. 
a)
Increase $4
b)
Decrease $4
c)
Decrease 80%
d)
Decrease 400%
73.
Last week, you finished level 2 of a video game in 32 minutes. Today, you finished level 2 in 28 minutes. What is your percent of change?
a)
Increase 12.5%
b)
Decrease 12.5%
c)
Increase 4%
d)
Decrease 4%
74.

This mysterious hand went to the mall and saw a massage chair that he would have to take a loan out to purchase. The total of the loan was $6600. The bank said that he could get a simple interest rate of 8% for 5 years. What is the total amount that the mysterious hand will pay for the chair?

a)

$2600

b)

$924

c)

$9240

d)

$260

75.

Alexton the Skeleton borrowed $4,000 for 5 years at 6% simple interest rate to pay for his band equipment. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

76.

Kermit took out a 4 year loan for $5,500. He had to pay a total of $1,870 in interest payments. What rate did he pay for his loan?

a)

85%

b)

5.5%

c)

8.5%

d)

14%

77.
Convert 18 months to years. 
a)
18 Years
b)
1.5 Years
c)
.18 Years
d)
You cannot change it to years.
78.
Anna invested $2,500 at an annual rate of 5%.  How long will it take until Anna earns $1,125 in interest?
a)
5 years
b)
8 years
c)
10 years
d)
9 years
79.
If you are calculating the simple interest and you are given the time in months.  How can you find the time in years?
a)
divide 12 by the months
b)
divide the months by 12
c)
multiply 12 times the months
d)
change the months to a decimal
80.
Principal = $800
Interest Rate = 3.5%
Time = 6 months
Find the interest earned.
a)
14
b)
140
c)
168
d)
16.80

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