Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
The price of an item is reduced by 20% in a sale. Two weeks later the price is increased to
20% more than the sale price. Do you think that the item has been restored to its original
price? If not, do you think its price is now higher or lower than the original price? Explain
your thinking.
1)
2)
Prepare a table showing the percent and decimal equivalents for these fractions: 1
2, 1
4, 1
8,
and 1
16 .
2)
3)
Roberto is an employee of a store and receives 20% discount off all items in the store.
During a sale, the price of a jacket is reduced by $15. Roberto will receive both his 20%
discount and the $15 off. Which is better for Roberto, to take the 20% discount first and
then subtract $15 or to subtract $15 first and then take his 20% discount? Explain you
answer.
3)
4)
How can you use a proportion to solve a percent word problem? Explain in your own
words.
4)
5)
Juan and Pete are on the same salary. Juan receives a 10% raise followed by an 8% raise a
year later. Pete receives an 8% raise followed by a 10% raise a year later. After the two
salary raises, whose salary is higher? Explain your answer.
5)
6)
Fill in the blanks. 92% represents parts out of equal parts.
6)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
7)
During one year, the Larson’s real estate bill included $450 for local schools. Of this amount, $230
went to the high school district. What percent did the Larsons pay to the high school district?
Round your answers to the nearest tenth, if necessary.
A)
50.9%
B)
10,350%
C)
51.1%
D)
48.9%
D)
Write as a decimal.
8)
0.39%
A)
0.39
B)
0.0039
C)
0.039
D)
0.0049
D)
Solve the problem.
9)
A survey of the 3398 vehicles on the campus of State University yielded the following circle graph.
10%
15%32%
9%
7% 27%
Find the number of sedans. Round your result to the nearest whole number.
A)
3160
B)
7
C)
68
D)
238
D)
Write as a percent.
10)
8.4
10)
A)
84%
B)
840%
C)
0.84%
D)
0.0084%
Solve the problem. Round to the nearest tenth if necessary.
11)
Enrollment in a business seminar increased from 71 people to 82 people. What was the percent of
increase?
11)
A)
86.6%
B)
13.4%
C)
15.5%
D)
84.5%
Solve the problem.
12)
Write 210 out of 500 insurance policies as a reduced fraction and as a percent.
12)
A)
4.2
100, 420%
B)
21
50 , 420%
C)
21
50 , 42%
D)
21
50 , 4.2%
13)
Write 32 out of 50 business owners as a decimal and as a percent.
13)
A)
0.64, 640%
B)
0.64, 64%
C)
6.4, 640%
D)
0.64, 6.4%
Use a calculator to find the interest earned if interest is compounded annually. Round to the nearest cent if necessary.
14)
$500 at 3% for 2 years
14)
A)
$530.45
B)
$1030.45
C)
$0.45
D)
$30.45
Solve the problem.
15)
Write 280 out of 500 college students as a decimal and as a percent.
15)
A)
0.56, 56%
B)
0.56, 5.6%
C)
5.6, 560%
D)
0.56, 560%
Find the simple interest. Round your answer to the nearest cent.
16)
Principal = $2610
Rate =17%
Time in months =23
16)
A)
$85,043.00
B)
$19.29
C)
$10,205.16
D)
$850.43
Find the percent using a proportion. Round your answer to the nearest tenth if necessary.
17)
$840.09 is what percent of $53.90?
17)
A)
15,586%
B)
0.6%
C)
1558.6%
D)
6.4%
Write any percent as a decimal and any decimal as a percent.
18)
0.008 of all math majors at a certain university double major in music.
18)
A)
0.8%
B)
8%
C)
8
D)
0.08%
Solve the problem.
19)
What is 100% of $300?
19)
A)
$150
B)
$30,000
C)
$30
D)
$300
Solve the problem. Round to the nearest tenth if necessary.
20)
On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the
student got 34 questions correct. What was the percent of increase?
20)
A)
26.5%
B)
9%
C)
64%
D)
36%
Find the part.
21)
0.2% of 1000 books
21)
A)
20 books
B)
0.2 books
C)
200 books
D)
2books
Write any percent as a decimal and any decimal as a percent.
22)
Attendance this year was 7.286 times greater than last year.
22)
A)
7286%
B)
72.86%
C)
0.07286%
D)
728.6%
Write the percent as a fraction or mixed number in lowest terms.
23)
27.5%
23)
A)
11
40
B)
11
80
C)
11
4
D)
11
20
Find the total amount due on the loan. Round to the nearest cent.
24)
Principal = $380
Rate =12%
Time in months =2
24)
A)
$402.80
B)
$5031.20
C)
$39,140.00
D)
$387.60
Solve the problem.
25)
The following graph shows types of paint sold at a local hardware store and the percent of sales for
each type of paint.
If the hardware store sold 1500 cans of paint, how many cans of exterior paint were sold?
25)
A)
525
B)
300
C)
450
D)
375
Find the whole.
26)
32% of what number of miles is 65 miles?
26)
A)
203 miles
B)
50 miles
C)
2030 miles
D)
0.5 miles
Solve the problem. Round to the nearest tenth, if necessary
27)
The part is 50 and the whole is 20. Find the percent.
27)
A)
25%
B)
250%
C)
125%
D)
40%
Find the part.
28)
140% of 4280 colleges
28)
A)
5992 colleges
B)
59,920 colleges
C)
599,200 colleges
D)
599 colleges
Set up the percent proportion, and write “unknown” for the value that is not given. Recall that the percent proportion is
part
whole
=percent
100 . Do not try to solve for any unknowns.
29)
29.7% of 71 is what?
29)
A)
71
29.7 =unknown
100
B)
71
unknown =29.7
100
C)
unknown
71 =29.7
100
D)
29.7
71 =unknown
100
Write any percent as a decimal and any decimal as a percent.
30)
At a certain company 28.6% of the employees have engineering degrees.
30)
A)
0.286
B)
286
C)
0.0286
D)
2.86
Find the percent. Round to the nearest tenth of a percent.
31)
3.8 miles is what percent of 16 miles?
31)
A)
421.1%
B)
0.2%
C)
23.8%
D)
4.2%
Find the percent using a proportion. Round your answer to the nearest tenth if necessary.
32)
71.2 inches is what percent of 6inches?
32)
A)
1186.7%
B)
11,867%
C)
0.8%
D)
8.4%
Solve the problem.
33)
The sales tax rate in one state is 6.25%. How much tax will be charged on a purchase of 4 chairs at
$49 apiece? Round your answer to the nearest cent.
33)
A)
$52.06
B)
$12.25
C)
$3.06
D)
$122.50
Write the percent as a fraction or mixed number in lowest terms.
34)
375%
34)
A)
33
4
B)
37 1
2
C)
71
2
D)
3
20
Write as a percent.
35)
1.746
35)
A)
174.6%
B)
1920.6%
C)
1746%
D)
192.06%
Solve the problem.
36)
One of Sal’s customers ordered items costing $7.79, $14.74, $17.51, and $24.38. If Sal’s commission
on each item is 30%, what is his total commission on this sale? Round to the nearest cent.
36)
A)
$12.01
B)
$16.99
C)
$14.07
D)
$19.33
Write a percent for both the shaded and unshaded parts of the figure.
37)
37)
A)
60% shaded; 40% unshaded
B)
7% shaded; 3% unshaded
C)
7% shaded; 93% unshaded
D)
70% shaded; 30% unshaded
Solve the problem. Round to the nearest tenth, if necessary
38)
Find the whole if the part is 6 and the percent is 15.
38)
A)
20
B)
4
C)
250
D)
40
Find the percent. Round to the nearest tenth of a percent.
39)
$682.31 is what percent of $63.41?
39)
A)
9.3%
B)
1076%
C)
10,760%
D)
0.9%
Solve the problem.
40)
In Little League, Andrew hit 4 home runs in 20 at–bats. What percent of the at–bats were not home
runs?
40)
A)
80%
B)
85%
C)
77%
D)
82%
Find the percent. Round to the nearest tenth of a percent.
41)
What percent of 102 miles is 17.4 miles?
41)
A)
0.2%
B)
586.2%
C)
0.1%
D)
17.1%
Find the whole.
42)
57 birds is 20% of what number of birds?
42)
A)
28.5
B)
11.4
C)
285
D)
2850
Set up the percent proportion, and write “unknown” for the value that is not given. Recall that the percent proportion is
part
whole
=percent
100 . Do not try to solve for any unknowns.
43)
What is 139% of 38?
43)
A)
unknown
38 =139
100
B)
38
139 =unknown
100
C)
38
unknown =139
100
D)
139
38 =unknown
100
Find the total amount due on the loan. Round to the nearest cent.
44)
Principal = $5000
Rate =61
2%
Time in months =9
44)
A)
$5225.00
B)
$5243.75
C)
$5262.50
D)
$2925.00
Solve the problem.
45)
A retail store had monthly sales of $69,800 and spent 22% of it on promotions. How much was
spent on promotions?
45)
A)
$15,356
B)
$317,273
C)
$31,727
D)
$153,560
Write as a percent. Round the percent to the nearest tenth if necessary.
46)
7
12
46)
A)
48.6%
B)
120%
C)
58.3%
D)
5.8%
Solve the problem.
47)
The Blacks have saved $12,480 for a down payment on a house. If a 19 1
2% down payment is
required, what price house can they buy?
47)
A)
$2434
B)
$64,000
C)
$243,400
D)
$640
Find the simple interest. Round your answer to the nearest cent.
48)
Principal = $3800
Rate =71
2%
Time in years =6
48)
A)
$1710.00
B)
$1881.00
C)
$17,100.00
D)
$1596.00
Find the part.
49)
87% of 301 miles
49)
A)
26,187 miles
B)
26.19 miles
C)
261.87 miles
D)
2618.7 miles
Set up the percent proportion, and write “unknown” for the value that is not given. Recall that the percent proportion is
part
whole
=percent
100 . Do not try to solve for any unknowns.
50)
What is 29% of 92?
50)
A)
unknown
92 =29
100
B)
29
92 =unknown
100
C)
unknown
29 =92
100
D)
92
unknown =29
100
Solve the problem.
51)
A salesman earns a straight commission of 25%. One week he had sales of $1960. Find his gross pay
for the week.
51)
A)
$49,000.00
B)
$490.00
C)
$49.00
D)
$4900.00
Find the whole.
52)
55 computers is 124% of what number of computers?
52)
A)
15,400 computers
B)
154 computers
C)
44 computers
D)
440 computers
Find the commission earned or the rate of commission. Round money answers to the nearest cent if necessary.
53)
Sales: $610 Commission rate: 41
2%
53)
A)
$274.50
B)
$21.35
C)
$27.45
D)
$33.55
Solve the problem. Round to the nearest tenth if necessary.
54)
All 40 of the students in a mathematics class attended class on Monday. On Tuesday only 32
students attended. What was the percent of decrease?
54)
A)
25%
B)
20%
C)
75%
D)
80%
Find the amount or rate of discount and the sale price after the discount. Round money answers to the nearest cent if
necessary.
55)
Original price: $212 Rate of discount: 10%
55)
A)
$10.60, $201.40
B)
$19.08, $192.92
C)
$23.32, $188.68
D)
$21.20, $190.80
Find the whole.
56)
13 trees is 0.76% of what number of trees?
56)
A)
580 trees
B)
17,110 trees
C)
5.8 trees
D)
1711 trees
Find the total amount due on the loan. Round to the nearest cent.
57)
Principal = $91,500
Rate =4%
Time in years =1
57)
A)
$114,375.00
B)
$457,500.00
C)
$101,016.00
D)
$95,160.00
Find the commission earned or the rate of commission. Round money answers to the nearest cent if necessary.
58)
Sales: $570 Commission: $57.00
58)
A)
10%
B)
11%
C)
12%
D)
1%
Find the part.
59)
61
5% of 8500 chickens
59)
A)
527 chickens
B)
5270 chickens
C)
52,700 chickens
D)
53 chickens
Solve the problem.
60)
A decorator has 68 clients, 50% of whom are businesses. Find the number of business clients.
60)
A)
34,000 clients
B)
34 clients
C)
340 clients
D)
3400 clients
Find the total amount due on the loan. Round to the nearest cent.
61)
Principal = $1660
Rate =4%
Time in years =51
2
61)
A)
$2025.20
B)
$3942.50
C)
$1862.52
D)
$1672.07
Solve the problem.
62)
A computer printer costs $440. If the sales tax rate is 61
2%, how much tax is charged and what is the
total price? Round your answers to the nearest cent.
62)
A)
$286.00, $726.00
B)
$33.00, $473.00
C)
$24.20, $464.20
D)
$28.60, $468.60
Set up the percent proportion for the application problem. Do not try to solve for any unknowns.
63)
A team won 18 of the 22 games it played. What percent of its games did it win?
63)
A)
18
unknown =22
100
B)
18
22 =unknown
100
C)
22
18 =unknown
100
D)
unknown
22 =18
100
Find the whole.
64)
576 hotels is 12.6% of what number of hotels?
64)
A)
45,710 hotels
B)
457,100 hotels
C)
4571 hotels
D)
1.6 hotels
Find the commission earned or the rate of commission. Round money answers to the nearest cent if necessary.
65)
Sales: $820 Commission rate: 6%
65)
A)
$41
B)
$57.40
C)
$492.00
D)
$49.20