Why Major in Mathematics, What sorts of jobs can I get with a mathematics degree Examples of occupational opportunities. available to math majors, Market Research Analyst Cryptanalyst Mathematician. Air Traffic Controller Professor Meteorologist,Climate Analyst Pollster Medical Doctor. Estimator Population Ecologist Lawyer,Research Scientist Operations Research Actuary. Computer Programmer Data Mining Statistician, Where can I work What sorts of companies hire mathematicians Well just to name a few. U S Government Agencies such as the National Center for Computing Sciences the National. Institute of Standards and Technology NIST the National Security Agency NSA and the U S. Department of Energy, Government labs and research offices such as Air Force Office of Scientific Research Los Alamos. National Laboratory and Sandia National Laboratory. Engineering research organizations such as AT T Laboratories Research Exxon Research and. Engineering and IBM Research, Computer information and software firms such as Adobe Google Mentor Graphics Microsoft. and Yahoo Research, Electronics and computer manufacturers such as Alcatel Lucent Hewlett Packard Honeywell. Philips Research and SGI, Aerospace and transportation equipment manufacturers such as Boeing Ford General Motors. and Lockheed Martin, Transportation service providers such as FedEx Corporation and United Parcel Service UPS. Financial service and investment manangement firms such as Citibank Morgan Stanley and. Prudential, A Mathematics Major isn t just for those wanting to be Mathematicians. The top scoring major on the Law School Entrance Exam LSAT is Mathematics Source Journal of. Economic Education, Mathematics is also a top 5 scoring major on the Medical School Entrance Exam MCAT Source. American Institute of Physics, Study in the field of mathematics offers an education with an emphasis on careful problem solving preci. sion of thought and expression and the mathematical skills needed for work in many other areas Many. important problems in government private industry and health and environmental fields require mathemat. ical techniques for their solutions 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 North. Alabama offers an undergraduate degree in Mathematics and has many great things to offer including a new. Mathematics Fellow program an active undergraduate research group and a new Dual Degree Engineering. program For more information go to www una edu math. 1 What is the equation of the line that goes through the point 2 5 and is parallel to x 3y 6. A 3y x 13 B 3y x 11 C 3y x 17 D 3y x 19 E None of these. 2 Find the volume of a cube with a surface area of 96 square feet. A 64 ft3 B 72 ft3 C 88 ft3 D 96 ft3 E None of these. 3 In the figure shown chord AB has a length of 18 and is bisected by the. chord CD What is the length of CD if DM is five times as long as. A B 22 C D 24 E None of these, 4 Given that the points 1 4 6 12 and c 10 are collinear what is the value of c. A 3 5 B 4 C 4 25 D 4 75 E None of these, 5 When the circumference of a sphere is increased from 20 meters to 25 meters the radius is increased. A m B 5 m C m D m E None of these, 6 An equilateral triangle and a regular hexagon have equal perimeters If the area of the regular hexagon. is 6 3 then what is the area of the equilateral triangle. A 4 3 B 6 3 C 8 3 D 2 3 E None of these, 7 In a trapezoid ABCD with AB parallel to CD the diagonals intersect. at a point E The area of triangle 4ABE is 32 and of triangle 4CDE. is 50 Find the area of the trapezoid,A 136 B 162 C 178 D 184 E None of these. 8 Name the polygon that satisfies all of the following characteristics. II Opposite Angles Congruent,III Diagonals are perpendicular bisectors. A Kite B Rhombus C Parallelogram D Trapezoid E Rectangle. 9 A 3 by 3 by 3 cube is formed by stacking 1 by 1 by 1 cubes How many cubes with sides of integer. length are contained in the 3 by 3 by 3 cube,A 18 B 27 C 36 D 50 E None of these. 10 Find the radius of the circle inscribed in a triangle with sides 5 12 and 13 in length. A B 2 C D 3 E None of these,11 The central angle of a regular decagon is. A 18 B 36 C 52 D 144 E None of these, 12 Two tangents to the same circle form a 50 angle The radius of the circle is 10 Find the length of. the smaller of the intercepted arcs,65 40 25 10,A B C D E None of these. 13 The diameter of a cone is 10 and its slant height is 13 What is its volume. A 100 B C 400 D E None of these, 14 A square with side length 2 is drawn in the Cartesian Plane with vertices 1 0 1 2 1 2 and. 1 0 Which of the following is a Line of Symmetry of the square. A II and IV B I and II C III and IV D I only E II and III. 15 The measure of each interior angle of a regular polygon is 8 times that of an exterior angle of the. polygon Find the number of sides of the polygon,A 14 B 18 C 22 D 24 E None of these. 16 The area of a square inscribed in a circle is 30 units Determine the perimeter of the square inscribed. in a semicircle of the same radius,A 4 15 B 4 30 C 8 3 D 8 15 E None of these. 17 Ray OB bisects AOC If m AOB 2x 10 and m BOC 8x 14 what is m AOC. A 36 B 42 C 54 D 72 E None of these, 18 Assume p k q in the figure shown Find the angle supplementary to angle. A 112 B 122 C 128 D 138 E None of these 118, 19 Two circular gears are tangent to each other The centers are fixed and the radii are 60 feet and 80. feet respectively How many revolutions has the larger gear made when the smaller gear has made 6. revolutions,A 8 B C 6 D E None of these, 20 The four angles of a quadrilateral form an arithmetic sequence The largest is 15 degrees less than. twice the smallest What is the degree measure of the largest angle. A 75 B 85 C 115 D 125 E None of these, 21 A rectangular picture of width 20 inches and height of 10 inches is framed in a rectangular frame 3. inches wide What is the area of the frame, A 216 in2 B 212 in2 C 194 in2 D 182 in2 E None of these. 22 Given that it is 3 o clock exactly how long will it take for the minute hand to catch up with the hour. A 15 min B 16 min C 16 min D 17 min E None of these. 23 What is the total surface area of a right circular cylinder whose radius is 6 units and whose height is. A 156 u2 B 172 u2 C 188 u2 D 192 u2 E None of these. 24 A parallelogram s vertices have coordinates of 0 0 1 3 4 0 and 5 3 What is the area of. the parallelogram,A 2 3 B 4 C 4 3 D 8 E None of these. 25 Points A B C and D lie on a circle with AC a diameter AB 4 and BC 2. ABD CBD What is BD,A 2 3 B 5 2 C 3 3 D 3 2 E None of these. 26 If the altitude of an equilateral triangle is 6 then what is its area. A 2 3 B 6 3 C 2 6 D 4 3 E None of these, 27 For what value of k are the lines 2x 3y 4k and x 2ky 7 perpendicular. A B C D E None of these, 28 A rectangular field is half as wide as it is long and is completely enclosed by x yards of fencing The. area in terms of x is,A 2x2 B C 4x2 D E None of these. 29 A regular hexagon is inscribed in a circle of radius 10 What is the area of the hexagon. A 150 3 B 150 C 600 D 300 3 E None of these, 30 A man who is 6 ft tall would like to determine the height of a building He measures its shadow and. finds it to be 28 ft long while his own shadow is 3 5 ft long How tall is the building. A 98 ft B 75 ft C 56 ft D 48 ft E None of these, 31 In the figure shown the line y x 1 intersects the parabola y x2 3x 4. at points P and Q What are the coordinates of point Q. A 1 0 B 4 0 C 4 5 D 5 6 E None of these, 32 Eight times the reciprocal of the circumference of a circle equals the diameter of the circle Find the. area of the circle,A 1 B 2 C 4 D 8 E None of these. 33 The area of a rectangle is 54 square feet If its width is 2 3 of the length then what is the perimeter. of the rectangle, A 18 ft B 20 ft C 25 ft D 27 ft E None of these 30 ft. 34 The smallest angle of a rhombus is one half the measure of the larger angle The shorter diagonal is. 20 m Find the perimeter of the rhombus,A 40 m B 60 m C 80 m D 100 m E None of these. 35 In the polygon pictured BC 12 CD 5 and EF 3 All angles are right. angles Find the area of the polygon,A 69 B 78 C 87 D 96 E Not enough information. 36 What is the center of the circle described by the equation x2 y 2 8x 16y 25. A 4 4 B 4 8 C 8 4 D 0 7 E None of these, 37 Three circles of radii 2 4 and 6 are tangent to each other externally Find the area of the triangle. formed by connecting their centers,A 18 B 20 C 22 D 24 E None of these. 38 A rectangular box measures 2 feet by 4 feet by 5 feet What is the length of the longest pole that can. fit in the box,A 5 B 5 2 C 3 5 D 5 3 E None of these. 39 A regular n gon has interior angles each of measure 162 What is the value of n. A 18 B 20 C 22 D 24 E None of these, 40 Which of the following is an intersection point of the line y 2x 1 and the circle x 1 2 y 1 2. 11 27 11 3,A B C 3 7 D 1 3 E None of these, 41 Quadrilateral ABCD is inscribed in a circle with m C 85 Find m A. A 85 B 95 C 105 D 115 E Not enough information, 42 If the radius of a sphere is tripled what is the ratio of the new volume to the old volume. A 9 1 B 27 1 C 32 1 D 64 1 E None of these, 43 Determine the measure of an angle in degrees such that the sum of its supplement and its complement. A 33 B 57 C 66 D 124 E None of these, 44 Find the area of an equilateral triangle whose vertices lie on a circle with radius 2 cm. A 3 cm2 B 3 3 cm2 C 3 cm2 D 6 cm2 E None of these, 45 Which of the following classical constructions is impossible using only a compass and a straight edge. I Draw the perpendicular bisector of a segment,II Find the midpoint of a segment. III Inscribe a regular hexagon in a circle,IV Trisect an angle. A IV Only B III and IV C I and III D II Only E I and II. 46 In the figure shown the circle is inscribed in isosceles triangle 4ABC with segment. AP passing through center O of the circle AC AB 12 and BP 4 Find the. radius of the circle,A 2 3 B 4 2 C 4 3 D 2 2 E None of these. 47 Find the radius of the largest sphere that can fit entirely inside a rectangular box with dimensions of. 5 in by 7 in by 11 in,A B C D E None of these, 48 A particular brand of pepperoni pizza has 16 calories per square inch If a pizza 14 inch in diameter. is cut into 8 equal slices how many calories are in one slice. A 28 B 392 C 98 D 28 E None of these, 49 A straight line joins the points 3 9 and 1 1 Find the non zero coordinate of the x intercept of. A B 2 C 3 D E None of these,50 For defined in the figure find cos.

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