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GED 150

Text:

Basic College Mathematics

Seventh Edition, 2012

ISBN-13: 9780321747594

Author(s):

John S. Tobey, Jr., Jeffrey L. Slater, Jamie Blair and Jennifer Crawford

Publisher:

Pearson

925 North Spurgeon Street, Santa Ana, CA 92701

Phone: 714-547-9625 Fax: 714-547-5777

www.calcoast.edu

12/14

Challenge Examination

Mathematics

All rights reserved. No part of this may be reproduced or transmitted

in any form or by any means, electronic or mechanical, including photocopying,

recording or by any information storage and retrieval system without written

permission, except for the inclusion of brief quotation in review.

Copyright © 2014 by California Coast University

GED 150 Mathematics

Instructions

Completing Your Challenge Examination

When you enrolled, the admissions committee reviewed the materials you submitted and determined that

based on your experience, you are eligible to challenge this course.

Challenge Examination Components

The Examination

The challenge examination is comparable to the final examination for

the course. Questions may be multiple choice or true/false

statements.

The Answer Sheet

The answer sheet for this challenge examination contains a bar code

with your name, identification number and course number. The

answer sheet may only be used for this examination. You may also

complete your examination online using the Coast Connection student

portal.

The Textbook

The examination is based on the contents of the textbook listed on the

cover of this booklet. Although you are being given an

opportunity to challenge this course based on academic

competencies identified in your occupational or life experiences, we

suggest you review the textbook prior to attempting the examination.

Before Beginning Your Examination

In order to successfully complete this course, we recommend that you

do the following before beginning:

•

Be sure that you have the correct edition of the course textbook.

•

Become familiar with the contents of the textbook, beginning

with the table of contents. Authors often include supplementary

material at the end of the text, such as a glossary and/or

reference section, that will help you as you complete your

examination.

Many textbook publishers have developed excellent websites to

accompany their textbooks. The site’s address is generally printed on

the introductory pages of the textbook or is sometimes found on the

back cover. We recommend that you visit the website for your text.

These sites can enrich your understanding of the course material.

5

GED 150 Mathematics

Instructions

Submitting Your Examination by Mail

You may send your completed challenge examination to the following

mailing address:

California Coast University

Testing Department

925 N. Spurgeon Street

Santa Ana, California 92701

Submitting Your Examination Online

Students may access the online testing features via the Coast

Connection student portal and complete and submit their examinations

online.

After logging in to your online account, click on My Academic Plan and

select the course you are working on to complete the challenge

examination. It is recommended that you keep a copy of your

examination answers for your own personal records.

Submitting Your Examination by Fax

You can also fax multiple choice examinations to the Grading

Department at (714) 547-1451. When faxing exams, please do not

resize your fax.

Examination Grading

Your grade in the course will be determined by the percentage of

correct answers.

A

B

C

D

F

=

=

=

=

=

90% – 100% correct

80% – 90% correct

70% – 79% correct

60% – 69% correct

59% and below correct

Undergraduate students who receive a letter grade of “F” on their

challenge examination will need to complete the study guide for the

course. Graduate students who receive a letter grade of “D” or “F” will

also be sent the study guide.

There is no additional charge for completing the study guide for the

course if you do not pass the challenge examination.

Be sure to keep a copy of all work you submit to the university.

6

GED 150 Mathematics

Challenge Examination

Multiple Choice Questions (Enter your answers on the enclosed answer sheet)

Choose the one alternative that best completes the statement or answers the question.

Write the word name for the given number.

1. 22,000,674

a. Twenty-two million, six thousand seventy-four

b. Two million, two thousand, six hundred seventy-four

c. Twenty-two hundred million, six hundred seventy-four

d. Twenty-two million, six hundred seventy-four

2. 2,601,400,070

a. Two hundred sixty million, one hundred forty thousand, seventy

b. Two hundred sixty-one million, four hundred thousand, seven hundred

c. Two billion, six hundred one million, four hundred thousand, seventy

d. Two billion, six hundred one million, forty thousand, seventy

Write each whole number in standard form.

3. Andy collected eighty-two thousand dollars for his campaign.

a. 8200

b. 82,000

c. 80,002

d. 802,000

Add.

4. 7,651 + 3,874 =

a. 11,525

b. 34,636

c. 31,487

d. 12,678

5. 148 + 55 =

a. 226

b. 212

c. 203

d. 213

7

GED 150 Mathematics

Challenge Examination

Solve.

6. A town’s population in 1976 was 111,835. By the year 2000 it had increased by 25,952.

How many people lived there in 2000?

a. 137,787 people

b. 138,787 people

c. 136,787 people

d. 137,887 people

Subtract.

7. 9699 – 5554 =

a. 9145

b. 4145

c. 4037

d. 4137

Subtract. Use borrowing, if necessary.

8. 83,128 – 58,955 =

a. 24,163

b. 24,123

c. 32,173

d. 24,173

Multiply.

9. 62 × 9 =

a. 551

b. 658

c. 548

d. 558

Provide an appropriate response.

10. What is x if x = 7 ∙ 1 ∙ 5 ∙ 0?

a. x = 35

b. x = 13

c. x = 1

d. x = 0

8

GED 150 Mathematics

Challenge Examination

Simplify.

11. 63 × 83 – (6 – 4) =

a. 286

b. 300

c. 2549

d. 5227

Write using exponential notation.

12. 9 × 9 × 9 × 9

a. 94

b. 94

c. 36

d. 92

Round as indicated.

13. 7101 to the nearest hundred

a. 7100

b. 7110

c. 7000

d. 7200

Solve.

14. A store has gross revenues of $6122, $6695, $4363, and $4601 in its first four weeks of

business. What was the gross revenue for those four weeks?

a. $21,881

b. $21,781

c. $20,781

d. $22,331

15. Leslie enjoys skiing in the winter. Last year she skied 21 times and spent a total of $693.

How much did it cost her each time?

a. $14,553

b. $672

c. $34

d. $33

9

GED 150 Mathematics

Challenge Examination

Write the fraction.

16. Of the 157 students at a high school, 35 are sophomores. What fraction of the students are

sophomores?

a. 157/35

b. 35/157

c. 35/122

d. 122/35

Reduce the fraction by finding a common factor in the numerator and in the denominator and

dividing by the common factor.

17. (55/65)

a. (55/65)

b. (5/13)

c. (11/13)

d. (11/5)

Identify if the whole number is prime or composite.

18. 30

a. Prime

b. Composite

Write the improper fraction as a mixed or whole number.

19. (252/11)

a. (11/252)

b. 252252/11

c. 25211/252

d. 2210/11

Reduce the improper fraction.

20. 99/44

a. 11/4

b. 9/11

c. 9/4

d. 4/11

10

GED 150 Mathematics

Challenge Examination

Change to a mixed number and reduce.

21. (344/20)

a. 171/4

b. 174/5

c. 171/5

d. 175/4

Multiply. Write the answer in simplest form.

22. (3/7) × (1/9) =

a. (1/21)

b. (1/4)

c. (7/27)

d. (4/63)

Solve. Write the answer in simplest form.

23. Julie’s Cinema received $5460 in movie admission tickets for one day. About (3/13) of this

amount was for G-rated movies. Find the amount of money received from G-rated movies.

a. $1260

b. $140

c. $23,660

d. $420

Divide, if possible. Write the answer in simplest form.

24. 55/9 ÷ 10 =

a. (6/9)

b. (4/9)

c. (5/8)

d. (5/9)

25. 51/3 ÷ 45/6 =

a. 13/29

b. 13/28

c. 14/29

d. 23/29

11

GED 150 Mathematics

Challenge Examination

Add or subtract. Simplify the answer.

26. (52/75) – (29/75) =

a. (23/150)

b. 12/25

c. (23/75)

d. 208/75

Add or subtract. Express the answer as a mixed number.

27. 191/7

+ 135/7 + 75/7 =

a. 404/7

b. 394/7

c. 40

d. 414/7

28. 14 – (2/9) =

a. 137/9

b. 117/9

c. 147/9

d. 13

Add or subtract.

29. 194/9 + 194/9

=

a. 378/9

b. 398/9

c. 388/9

d. 198/9

Write the words for the dollar amount as you would on a check.

30. $200.58

a. Two hundred dollars and 58 cents

b. Two hundred and (58/100) dollars

c. Two hundred (58/100) dollars

d. Two hundred dollars and 58

12

GED 150 Mathematics

Challenge Examination

Insert <, >, or = between each pair of numbers to form a true statement.

31. 0.463 _____ 0.46300

a. >

b. <
c. =
Arrange in order from smallest to largest.
32. 6.09, 6.9, 6.099, 6.999
a. 6.999, 6.9, 6.099, 6.09
b. 6.09, 6.9, 6.099, 6.999
c. 6.099, 6.09, 6.999, 6.9
d. 6.09, 6.099, 6.9, 6.999
Solve.
33. According to his ultra-precise scale, Jeremy gained 3.249 pounds in a three-month period.
Round this amount off to the nearest hundredth.
a. 3.2 pounds
b. 3.25 pounds
c. 0.25 pounds
d. 3.26 pounds
Divide.
34. (2.24) divided by 7
a. 1.32
b. 13.2
c. 3.2
d. 0.32
35. (3.9732) divided by 516
a. 0.0077
b. 0.0087
c. 0.78
d. 0.77
13
GED 150 Mathematics
Challenge Examination
36. (163.2186) divided by 2.8 Round to the nearest hundredth.
a. 58.33
b. 58.332
c. 58.29
d. 5.83
Solve.
37. 0.028 × n = 0.7
a. 24.8
b. 26
c. 25
d. 0.0196
Write as an equivalent decimal. If a repeating decimal is obtained, use notation such as 0.4,
0.23, or 0.567
38. 317/20
a. 3.85
b. 3.855
c. 3.85
d. 3.85
Simplify by using the order of operations. Round your answer to the nearest hundredth.
39. 2.9 + (13.9 - 3.8) ∙ 7.2
a. -38.36
b. 99.18
c. 75.62
d. 93.60
First round each number to one non-zero digit. Then perform the calculation using the rounded
numbers to obtain an estimate.
40. 51.7 - 5.17
a. estimate: 45
b. estimate: 55
c. estimate: 54
d. estimate: 46
14
GED 150 Mathematics
Challenge Examination
Round as indicated.
41. Round 25.4564 to the nearest hundredth.
a. 25.56
b. 25.36
c. 25.46
d. 25.44
Divide.
42. (0.00786) divided by 0.04
a. 0.201
b. 0.1965
c. 0.1977
d. 0.1974
Write the ratio in lowest terms.
43. 20:14
a. (7/10)
b. (20/14)
c. (14/20)
d. (10/7)
Write the following as a rate in lowest terms.
44. $685 for 20 rolls of film
a. ($137/20 rolls of film)
b. ($685/4 rolls of film)
c. ($5/20 rolls of film)
d. ($137/4 rolls of film)
Write the rate as a unit rate.
45. 8 cents for 4 marbles
a. 2 cents/marble
b. 0.5 cents/marble
c. 12 cents/marbles
d. 32 cents/marble
15
GED 150 Mathematics
Challenge Examination
46. 420 people in 20 buses
a. 210 people/bus
b. 400 people/bus
c. 21 people/bus
d. 0.048 person/bus
Solve using a proportion. Round your answer to the nearest hundredth when necessary.
47. Find which is the better buy (lower cost per ounce) by finding each unit price rounded to
three decimal places if necessary.
Jelly:
$1.41 for 6 ounces
$2.35 for 10 ounces
a. $2.35 for 10 ounces
b. $1.41 for 6 ounces
c. Both cost the same per ounce.
d. None of the above.
Write as a proportion.
48. If 60 pounds of potatoes is enough to feed 150 children, then 68 pounds should be the right
amount for 170 children.
a. (60 pounds/150 children)
b. (150 children/60 pounds)
c. (60 pounds/150 children)
d. (60 pounds/170 children)
=
=
=
=
(170 children/68 pounds)
(68 pounds/170 children)
(68 pounds/170 children)
(68 pounds/150 children)
Solve each proportion for the given variable.
49. (n/22) = (6/11)
a. 12
b. 401/3
c. 3
d. 24
50. (x/3.9) = (0.08/9) Round to the nearest hundredth.
a. 0.03
b. 438.75
c. 2.81
d. 28.85
16
GED 150 Mathematics
Challenge Examination
Find the value of n. Round to the nearest hundredth if necessary.
51. (1200 revolutions/20 minutes) = (n revolutions/21 minutes)
a. 1134
b. 1260
c. 2.86
d. 25,200
52. (n pounds/4 kilograms) = (11.35 pounds/5 kilograms)
a. 8.63
b. 9.08
c. 2.84
d. 9.53
Solve using a proportion. Round your answer to the nearest hundredth when necessary.
53. On an architect’s blueprint, 1 inch corresponds to 12 feet. If an exterior wall is 68 feet long,
find how long the blueprint measurement should be. Write answer as a mixed number if
necessary.
a. 113/17 inches
b. 51 inches
c. 52/3 inches
d. 68 inches
Solve.
54. In a survey of 100 people, 8 preferred relish on their hot dogs. What percent preferred
relish?
a. 0.8%
b. 0.08%
c. 2/25%
d. 8%
Write as a decimal.
55. 0.079%
a. 0.00079
b. 7.9
c. 0.0079
d. 0.000079
17
GED 150 Mathematics
Challenge Examination
Write the percent as a decimal.
56. In the last election Mr. Thomas received 0.2% of the vote.
a. 0.02
b. 2
c. 0.2
d. 0.002
Write as a fraction or as a mixed number
57. 50%
a. 5
b. 1/4
c. 1/2
d. 1
58. 1713/7%
a. 171/7
b. 33/7
c. 6/7
d. 15/7
Solve. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent.
59. Write the equivalent decimal and percent for (7/12).
a. 0.703;70.3%
b. 0.583;58.3%
c. 0.703;703%
d. 0.583;5.83%
Solve.
60. 37% of what is 74?
a. 0.5
b. 50
c. 2000
d. 200
18
GED 150 Mathematics
Challenge Examination
61. A $210 camera is on sale at 5% off. How much will the camera cost?
a. $2089.50
b. $1.05
c. $199.50
d. $10.50
62. A stock broker is paid $600 per month plus 2% of the total sales of stocks that she sells.
Last month Cora sold $68,000 worth of stock. What was her total income for the month?
a. $13,600
b. $1360
c. $14,200
d. $1960
63. Raya borrowed $10,000 to finish college at an interest rate of 6.5% per year. How much
interest will Raya need to pay next year?
a. $10,650
b. $6500
c. $16,500
d. $650
Convert. When necessary, round the answer to two decimal places.
64. 23/4 pounds = ____ ounces
a. 52
b. 44
c. 32
d. 45
Solve the problem.
65. Dennis is hosting a dinner party. His recipe calls for 4 ounces of chicken per person. If he
is expecting 24 guests, how many pounds of chicken should he buy? Round your answer to
two decimal places if necessary.
a. 1536 pounds
b. 96 pounds
c. 6 pounds
d. 12 pounds
19
GED 150 Mathematics
Challenge Examination
66. A rectangular window is 3 feet 10 inches wide and 6 feet 9 inches tall. If the window needs
to be sealed with insulation that costs $1.22 per inch, how much will it cost to insulate the
perimeter?
a. $265.96
b. $309.88
c. $26.60
d. $319.15
Change to a convenient unit of measure and add.
67. 53 cm + 9 dm + 19 mm
a. 1449 cm
b. 144.9 cm
c. 243.9 cm
d. 81 cm
Write true or false for the statement.
68. A grown man might weigh 101 kilograms.
a. True
b. False
Perform the conversion. Round to the nearest hundredth when necessary.
69. 33 L to qt
a. 14.98 qt
b. 39.60 qt
c. 31.22 qt
d. 34.88qt
Convert as indicated. When necessary, round to the nearest tenth of a degree.
70. 230° F to degrees Celsius
a. 446° C
b. 145.6° C
c. 110° C
d. 95.8° C
20
GED 150 Mathematics
Challenge Examination
Solve.
71. The flow rate of a safety discharge pipe at a dam is rated for a maximum of 204,000 gallons

per hour. Convert this rate to pints per second. Round your answer to the nearest tenth.

During a flood, the flow rate at the dam is measured as 428 pints per second. Could the

safety discharge pipe safely handle this flow rate?

a. 226.7 pints per second; no

b. 214.8 pints per second; no

c. 566.7 pints per second; yes

d. 453.3 pints per second; yes

72. Brian and Heather drove 426 miles in 6 hours. What was their average speed in kilometers

per hour? (Round your answer to the nearest whole number, if necessary.)

a. 686 km/hr

b. 44 km/hr

c. 114 km/hr

d. 71 km/hr

Perform the conversion. Round to the nearest hundredth when necessary.

73. 898 yd = ____ m

a. 821.13

b. 2945.44

c. 978.82

d. 273.89

Find the perimeter of the shape made up of rectangles and squares.

74.

23 in

5 in.

17in

5 in.

a. 90 in.

b. 72 in.

c. 45 in.

d. 200 in.

21

GED 150 Mathematics

Challenge Examination

Find the area of the rectangle or square.

75. Length = 0.53 m, width = 0.24 m

a. 0.2544 m to power of ((2))

b. 0.77 m to power of ((2))

c. 1.54 m to power of ((2))

d. 0.1272 m to power of ((2))

Find the perimeter and area of the rhombus.

76. The height is 8 m and the base is 17 m

a. P = 34 m, A = 68 m to power of ((2))

b. P = 17 m, A = 25 m to power of ((2))

c. P = 68 m, A = 136 m to power of ((2))

d. P = 136 m, A = 68 m to power of ((2))

Find the area of the trapezoid.

77. The height is 5 m and the bases are 7 m and 8 m.

a. 140 m to power of ((2))

b. 75 m to power of ((2))

c. 10 m to power of ((2))

d. 37.5 m to power of ((2))

Find the perimeter of the triangle.

78. An equilateral triangle whose side measures 8 mi

a. 23 mi

b. 32 mi

c. 24 mi

d. 16 mi

Find the diameter of a circle if the radius has the value given.

79. r = 22 ft

a. 44 ft

b. 1519.76 ft

c. 69.08 ft

d. 11 ft

22

GED 150 Mathematics

Challenge Examination

The pair of figures is similar. Find the missing side n. Round to the nearest tenth when

necessary.

80.

3 yd.

6 yd.

12 yd.

n

a. n = 1.5 yd

b. n = 24 yd

c. n = 0.5 yd

d. n = 6 yd

Solve.

81. The rectangular part of the field shown below is 160 yd long and the diameter of each

semicircle is 12 yd. How much will it cost to fertilize the field at $0.25 per square yard?

Use π ≈ 3.14 and round to the nearest cent.

a. $593.04

b. $508.26

c. $268.26

d. $484.71

23

GED 150 Mathematics

Challenge Examination

The circle graph shows the results of the student council presidential election. The complete

circular area represents 100% of the votes.

Matt

25%

Lili

Ben

32%

16%

Gina

27%

700 total votes

The circle graph shows what percent of the vote each person received.

82. Who got the fewest votes?

a. Matt

b. Lili

c. Ben

d. Gina

Find the grade point average. Round to the nearest tenth when necessary.

83. The grades are given for a student for a particular semester. Find the grade point average.

Assume the grade point values are A = 4, B = 3, C = 2, D = 1, and F = 0.

Grade

B

D

F

D

D

a. 18

b. 1.3

c. 1.2

d. 3.6

24

Credit Hours

4

3

3

4

4

GED 150 Mathematics

Challenge Examination

Find the median. Round to the nearest tenth when necessary.

84. The numbers of vehicles passing though a toll booth in one hour for five consecutive hours

are as follows: 7, 16, 25, 34, 40

a. Median = 16 vehicles

b. Median = 25 vehicles

c. Median = 34 vehicles

d. Median = 26.1 vehicles

85. A national safety organization records the number of motor vehicle accidents that take place

each year in a certain country. An example of this data is recorded in the following chart.

Determine the median number of accidents that occur per year based on this data.

Year

Approximate Number

of Accidents

2007

10,800,000

2008

9,800,000

2009

11,100,000

2010_____

10,400,000

a. 10,600,000

b. 10,800,000

c. 11,600,000

d. 10,400,000

Find the mode.

86. The last seven computer games sold at the local electronics store cost $20, $33, $46, $33,

$49, $33, $49.

a. The mode is $37.60.

b. The mode is $46.

c. The mode is $33.

d. The mode is $49.

25

GED 150 Mathematics

Challenge Examination

The following double-bar graph illustrates the revenue for a company for the four quarters of the

year for two different years. Use the graph to answer the question.

87. How much more revenue was generated from 2009 to 2010 in the fourth quarter?

a. $10,000,000

b. $15,000,000

c. $1,000,000

d. $5,000,000

26

GED 150 Mathematics

Challenge Examination

The following comparison line graph indicates the number of vehicles sold for a seven week

period by two different salespeople. Use the graph to answer the question.

88. How many vehicles did Chris sell in the sixth week?

a. 4 vehicles

b. 5 vehicles

c. 2 vehicles

d. 3 vehicles

Add.

89. 21 + (-68)

a. -47

b. 89

c. -89

d. 47

Subtract.

90. (1/4) – (1/6)

a. – (1/12)

b. (1/24)

c. (1/12)

d. – (1/2)

27

GED 150 Mathematics

Challenge Examination

Perform the set of operations, working from left to right.

91. -4 + 20 – 6 – (-18) + (-11)

a. -19

b. 17

c. -25

d. -7

Multiply or divide.

92. (5.04/-9)

a. -5.6

b. -0.56

c. -1.56

d. 5.6

Write in scientific notation.

93. 550,000

a. 5.5 × 10 to power of ((-6))

b. 5.5 × 10 to power of ((6))

c. 5.5 × 10 to power of ((5))

d. 5.5 × 10 to power of ((-5))

Write in standard notation.

94. 6.756 × 10 to power of ((7))

a. 6,756,000

b. 472.92

c. 675,600,000

d. 67,560,000

Solve for the variable.

95. 1.2x = 0.06

a. 0.005

b. 0.0005

c. 0.5

d. 0.05

28

GED 15 …

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