Mathematics Concepts 2 Exam 2 Version 2 20 October 2017
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1 Mathematics Concepts 2 Exam 2 Version 2 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: Total Points: Score:
2 MATH 202 Exam 2, Page 2 of 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
3 MATH 202 Exam 2, Page 3 of 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 meters are in a centimeter? A B. 100 C. 1/100 D. 1/1000 (b) (5 points) If a right triangle has legs of length 9ft and 12ft, how long is the hypotenuse? A. 15ft B. 13ft C. 17ft D. 5ft (c) (5 points) The surface area 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) 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 (e) (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. the ratio of a circle s circumference to its diameter. D. about 3. (d) (f) (5 points) The 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 height at which exactly half the volume of the pyramid is below. D. the distance from the apex to the center of the base. (e) (g) (5 points) The property to be measured if you wanted to determine the proper amount of stuffing to buy if you are going to fill a baby blanket that you made for your cousin s newborn daughter. A. perimeter B. area C. volume D. surface area (f) (g) out of a possible 35 points
4 MATH 202 Exam 2, Page 4 of October (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 a sheet of paper Unit Degrees fahrenheit Inches Perimeter of this room Miles Cups Distance from here to the moon Tablespoons Gallons A serving of milk Kilograms Milligrams Weight of the instructor Feet out of a possible 20 points
5 MATH 202 Exam 2, Page 5 of 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 in 3 ) out of a possible 15 points
6 MATH 202 Exam 2, Page 6 of October (10 points) Assume that a right regular cone with a circular base has base radius 4cm and slant height 10cm. Determine the surface area of the cone. 5. (15 points) The swimmer Katie Ledecky swam the 200 meter free-style race in 1 minutes and 54 seconds (rounded to the nearest second) which is a speed of approximately 1.75 meters per second. What was her speed in kilometers per hour? out of a possible 25 points
7 MATH 202 Exam 2, Page 7 of October ft 4ft 5ft 2ft 1ft 15ft Figure 1: Diagram Reading 6. For this question, consider the associated diagram labelled figure 1. Draw a ò 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
8 MATH 202 Exam 2, Page 8 of October (a) (10 points) Draw a square inscribed inside a circle. (b) (10 points) What percentage of the area of the circle is inside the square. out of a possible 20 points
9 MATH 202 Exam 2, Page 9 of October 2017 Concepts 8. (15 points) Explain the Similarity Principle and demonstrate it using an example from 1D to 2D to 3D. For your example, let your 1D length be 1 yard = 3 feet. out of a possible 15 points
10 MATH 202 Exam 2, Page 10 of 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?
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