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Math 202 Spring ’06 Exam Solutions: Geometry, Algebra, and Probability, Exams of Elementary Mathematics

The solutions to the math 202 spring ’06 exam, covering topics such as geometry, algebra, and probability. Students will find answers to questions involving volume and surface area of a sphere, pie charts, similar triangles, symmetry, and more. Ideal for university students preparing for exams, quizzes, or assignments.

Typology: Exams

2012/2013

Uploaded on 03/31/2013

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parthavi 🇮🇳

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Prof. S. Brick Math 202
Spring ’06 Elem Ed Math II Final section 101
Print your name:
Show all of your work, and explain your reasoning. Be sure to give units for
your answers where appropriate.
1. Find the volume and surface area of a sphere of radius 5 cm.
2. The corporation Megaphar spends 60% of their budget on marketing. They spend 1/4 of
what remains on research. Make up a pie chart with three categories marketing,research,
and other. Find both the angles and the percentages. Show your work.
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Partial preview of the text

Download Math 202 Spring ’06 Exam Solutions: Geometry, Algebra, and Probability and more Exams Elementary Mathematics in PDF only on Docsity!

Prof. S. Brick Math 202

Spring ’06 Elem Ed Math II Final section 101

Print your name:

Show all of your work, and explain your reasoning. Be sure to give units for your answers where appropriate.

  1. Find the volume and surface area of a sphere of radius 5 cm.
  2. The corporation Megaphar spends 60% of their budget on marketing. They spend 1/4 of what remains on research. Make up a pie chart with three categories marketing, research, and other. Find both the angles and the percentages. Show your work.
  1. At 1pm a compact car leaves town heading due west at 50mph. At 2pm a truck leaves town heading due north at 60mph. How far apart (as the crow flies) are the two vehicles at 3pm? Draw a picture and show and explain your work. Give the name of the theorem you are using.
  2. A student club has 6 boys and 8 girls. A three person committee is chosen randomly. What is the probability that the committee has no boys on it?
  1. You are driving slowly to your favorite class – Math 202, of course – when you realize that you have forgotten your plate of brownies. You turn around and drive very fast back home, where you very quickly get the brownies. Then you hop in your car and start back towards school. But in your excitement over another math class, you drive way too fast and get pulled over for speeding. But you manage to use math to convince the policeman to refrain from giving you a ticket, though it does take you some time. Then you drive off slowly, but speed up again as soon as the cop is out of sight. Let f (t) be the distance you are from home, where t is time. Sketch a graph of f (t). Label the items of interest on the graph.
  2. What type of symmetry do the following figures possess
  1. A farmer has 60 animals. Some are cows and the rest are chickens. There are 200 legs overall. Using algebra (and not guessing), determine how many of animals are cows and how many are chickens. Show your reasoning.
  2. The standardized test MATHAPT consists of multiple choice questions, each of which has four possible answers. Each correct answer results in +2 points while each incorrect answer results in −1 points. Find the expected value of guessing. Using the expected value, determine whether guessing here would be a good thing, a bad thing or a neutral thing?
  1. Draw an obtuse scalene triangle and draw its medians, finding its centroid. Explain your choices and the steps you take. Be sure to draw large enough so that your work is legible.
  2. Find the mean, median and mode of the data 8, 4 , 6 , 8 , 4 , 3 , 6 , 5 , 5 , 8.

SCRATCH PAPER – not graded