This test consists of 50 multiple choice questions. The
questions have not been arranged in order of difficulty .
For each question, choose the best of the five answer choices labeled A, B, C,
D, and E.
The test will be scored as follows: 5 points for each correct answer, 1 point
for each question left unanswered,
and 0 points for each wrong answer. (Thus a " perfect paper " with all questions
answered correctly earns a
score of 250, a blank paper earns a score of 50, and a paper with all questions
answered incorrectly earns a
score of 0.)
Random guessing will not, on average, either increase or decrease your score.
However, if you can eliminate
one of more of the answer choices as wrong, then it is to your advantage to
guess among the remaining
choices.
• All variables and constants , except those indicated otherwise, represent real
numbers.
• Diagrams are not necessarily to scale.
We use the following geometric notation:
• If A and B are points, then:
 is the segment between A and B
 is the line containing A and B
is the ray from A through B
AB is the distance between A and B |
• If A is an angle, then:
m∠A is the measure of angle A in degrees
• If A and B are points on a circle, then:
 is the arc between A and B
m is the measure of
in degrees |
Doing the Math to Find the Good Jobs
Mathematicians Land Top Spot in New Ranking of Best and Worst Occupations in the
U.S.
THE WALL STREET JOURNAL January 6, 2009
The Best
1. Mathematician
2. Actuary
3. Statistician
4. Biologist
5. Software Engineer
6. Computer Systems Analyst
7. Historian
8. Sociologist
9. Industrial Designer
10. Accountant
11. Economist
12. Philosopher13. Physicist
14. Parole Officer
15. Meteorologist
16. Medical Laboratory Technician
17. Paralegal Assistant
18. Computer Programmer
19. Motion Picture Editor
20. Astronomer |
The Worst
200. Lumberjack
199. Dairy Farmer
198. Taxi Driver
197. Seaman196. EMT
195. Roofer
194. Garbage Collector
193. Welder
192. Roustabout
191. Ironworker
190. Construction Worker
189. Mail Carrier
188. Sheet Metal Worker
187. Auto Mechanic
186. Butcher
185. Nuclear Decontamination Tech
184. Nurse (LN)
183. Painter
182. Child Care Worker
181. Firefighter |
 |
What You Can Do With A Mathematics Major
Occupational opportunities
Actuarial and Insurance
Computer & Information Sciences
Researcher
Demographers
Data Processor
Applications Programmer
Systems Analyst
Computer Applications Engineer
Control Systems Engineer
Numerical Analyst
Statistician
Technical Writer |
Government
Investment Analyst
Benefits Specialist
Computer Programmer
Navigator
Ecologist
Biomedical Engineer
Operations Analyst
Control Systems Engineer
Teaching
Engineering Analyst
Homeland Security |
Accountant
Financial Planner
Mathematician
Cartographer
Meteorologist
Health
Bio-mathematician
Operations Research
Systems Engineer
BusinessIndustry
Financial Analyst
Communications Engineer |
Study in the field of mathematics offers an education with
an emphasis on careful problem analysis, pre -
cision of thought and expression , and the mathematical skills needed for work in
many other areas. Many
important problems in government, private industry, health and environmental
fields, and the academic
world require sophisticated mathematical techniques for their solution . The
study of mathematics provides
specific analytical and quantitative tools, as well as general problem-solving
skills, for dealing with these
problems. The University of Alabama offers undergraduate and graduates degrees
in Mathematics.
1. In a triangle ABC, let a, b, c be the sides opposite
those angles A, B, C. If cosA + sinA -
, then 
?
(E) Cannot be determined
2. Let x denote the following infinite series:
: Express the series
in terms of x .
3. Two points A and B lie on a globe of radius 12. The
length of the straight line segment joining A
and B is 12. What is the length of the shortest path from A to B if every point
of the path lies on
the surface of the globe.
4. In the Cartesian coordinate plane , ABCD is a
parallelogram with A = (0, 0), B = (-20, 10) and
D = (-10, y). If the area of the parallelogram is 600, what is the value of y ?
5. If 
, what is f(2) ?
6. Let x be 
. Evaluate
(2x - 1)2.
7. Let a and b be the coefficients of
in 
and
, respectively.
Find the value of a - b .
8. What is the radius of a circle which circumscribes the
triangle with vertices (2, 0), (0, 4), and (4, 6) ?
9. Solve 
for x.
10. As shown in the diagram, two circles with
radii 8 and 18 respec-
tively, are tangent and two lines are tangent to both circles. The
distance from the intersection of these lines to the center of the
circle with radius 8 is
|
 |
11. A line of slope 2/3 passes through the point (1, 2).
What is its x- intercept ?
12. If 
, then what is
x?
13. If θ is an acute angle and sin θ = x then what is sin(θ/2)?
(E) None of these
14. If 
, what is the
value of 
?
15. Among the following shapes of equal perimeter, which
one has the largest area ?
(B) equilateral (C)
square (D) ellipse (E) regular pentagon
