Mathematics Concepts 2 Exam 2 Version 1 20 October 2017 Name: Permissible Aides: The small ruler distributed by the proctor Prohibited: Class Notes Class Handouts Study Guides and Materials The Book Any Electronics (including calculators and phones) Other People s Exams Page: 3 4 5 6 7 8 9 Total Points: 35 20 15 25 20 20 15 150 Score:
MATH 202 Exam 2, Page 2 of 10 20 October 2017 Instructions Be sure to read each problem s directions. If you are caught cheating on the exam, you will be given a 0 for a grade. Write clearly during the exam and fully erase or mark out anything you do not want graded. You must show all your work to receive full credit unless otherwise stated. out of a possible 0 points
MATH 202 Exam 2, Page 3 of 10 20 October 2017 Multiple Choice & Matching 1. For the following multiple choice questions, you must write the letter corresponding to the correct answer in the blank space provided on the right side of the exam. Markings on the question itself will not be given any credit.you do not have to show any work for the multiple choice parts. (a) (5 points) How many feet are in a mile? A. 100 B. 660 C. 1760 D. 5280 (b) (5 points) If a right triangle has legs of length 5ft and 12ft, how long is the hypotenuse? A. 15ft B. 13ft C. 17ft D. 5ft (c) (5 points) The volume of a sphere of radius r is given by the formula: 4 A. 3 πr3 B. 4πr 2 C. 3πr 2 3 D. 4 πr3 (c) (a) (b) (d) (5 points) The number π is defined to be: A. the height of the tallest pillar at the temple of Zeus in Athens. B. the ratio of a circle s circumference to its area. C. about 3. D. the ratio of a circle s circumference to its diameter. (e) (5 points) The slant height of a right regular pyramid is: A. the distance from the apex to the center of an edge of the base. B. the distance from the apex to a corner of an edge of the base. C. the distance from the apex to the center of the base. D. the height at which exactly half the volume of the pyramid is below. (d) (f) (5 points) This question is a check to see that you re reading directions carefully. Mark a = in the answer line to receive full credit. A. 3πr 3 B. πr 2 C. 4πr 2 D. 2πr 3 (g) (5 points) The property to be measured if you wanted to determine the proper amount of cloth to buy if you are going to quilt a baby blanket for your cousin s newborn daughter. A. perimeter B. weight C. volume D. surface area (e) (f) (g) out of a possible 35 points
MATH 202 Exam 2, Page 4 of 10 20 October 2017 2. (20 points) Draw a line connecting each property to be measured on the left to the most appropriate unit of measurement on the right. You may only use each unit of measure once. Property Weight of the instructor Unit Degrees fahrenheit Inches Distance from here to the moon Tablespoons Gallons A serving of milk Kilograms Milligrams Weight of a sheet of paper Feet Cups Perimeter of this room Miles out of a possible 20 points
MATH 202 Exam 2, Page 5 of 10 20 October 2017 Computation and Techniques 3. (15 points) Your professor is known for his blueberry pies while his colleague is known for her raspberry pies. At a picnic, Eric cut his blueberry pie into 10 pieces and 5 were eaten while Lisa cut her raspberry pie into 6 pieces and 4 were eaten. Assuming both pies were circular with a diameter of 8 inches and a height of 3 inches, how much pie was eaten? (Leave your answer in 3 ) out of a possible 15 points
MATH 202 Exam 2, Page 6 of 10 20 October 2017 4. (10 points) Assume that a right regular cone with a circular base has base radius 6cm and slant height 8cm. Determine the surface area of the cone. 5. (15 points) The sprinter Usain Bolt has a top speed of 12.27 meters per second. How fast is this in kilometers per hour? out of a possible 25 points
MATH 202 Exam 2, Page 7 of 10 20 October 2017 4ft 5ft 12ft 1ft 1ft 5ft 15ft Figure 1: Diagram Reading 6. For this question, consider the associated diagram labelled figure 1. Draw a S in the lower right corner of this page for 2 points. (a) (10 points) Determine the perimeter of the shaded figure. (b) (10 points) Determine shaded area of the shaded figure. out of a possible 20 points
MATH 202 Exam 2, Page 8 of 10 20 October 2017 7. (a) (10 points) Draw a circle inscribed inside a square. (b) (10 points) What percentage of the area of the square is inside the circle. out of a possible 20 points
MATH 202 Exam 2, Page 9 of 10 20 October 2017 Concepts 8. (15 points) Explain the the Similarity Principle and demonstrate it using an example from 1D to 2D to 3D. For your example, let your 1D length to be 1 yard = 3 feet. out of a possible 15 points
MATH 202 Exam 2, Page 10 of 10 20 October 2017 Extra Credit 9. (3 points (bonus)) Explain why it is more convenient to measure surface area of an object in square units rather than circular units. In essence, why don t we say a unit of measurement is the area of a circle of diameter 1cm but always prefer a square of side length 1cm?