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Prof. Brick's Elem Ed Math II Exam 2 - Spring ’06, Exams of Elementary Mathematics

Professor brick's elem ed math ii exam 2 from spring ’06. The exam covers various math topics including geometry, algebra, and statistics. Students are required to solve problems and explain their reasoning. Questions involve creating pie charts, finding equations, determining congruent triangles, creating box and whisker plots, and finding the centroid of an obtuse scalene triangle.

Typology: Exams

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Elem Ed Math II Exam 2 Math 202
Spring ’06 section 101
Print your name:
Show all of your work, and explain your reasoning.
1. The corporation TyPharm spends 20% of their budget on research 50% on marketing
and the rest on other expenses. Make up a pie chart with three categories marketing,
research, and other. Find both the angles and the percentages. Show and explain your
work.
2. Find the equation through the point (−2,1) with slope 1/3. Sketch a graph showing
the line and the point.
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Prof. S. Brick Elem Ed Math II Exam 2 Math 202

Spring ’06 section 101

Print your name:

Show all of your work, and explain your reasoning.

  1. The corporation TyPharm spends 20% of their budget on research 50% on marketing and the rest on other expenses. Make up a pie chart with three categories marketing, research, and other. Find both the angles and the percentages. Show and explain your work.
  2. Find the equation through the point (− 2 , 1) with slope 1/3. Sketch a graph showing the line and the point.
  1. A triangle has 6 numerical quantities: the lengths of its 3 sides and the measures of its 3 angles. Suppose you know exactly two of the sides and one of the angles. In other words, you are in the situation described by one of the following triples of letters: SSA, SAS, or ASS. When do you have a congruency result? When don’t you?
  2. Draw a box and whisker plot for the data 5, 12 , 9 , 20 , 12 , 15 , 10 , 9 , 20.
  1. Find the mean of the data 8, 2 , 6 , 7 , 4 , 4 , 6 , 5. Explicitly mention the formula you are using.
  2. The final grades at Hogwarts are normally distributed. An A is a score of 90 or higher. It is possible to score greater than 100, due to magic. Professor’s Sprouts class has a mean score of 80 with a standard deviation of 2.5, while Professor Snape’s class has a mean score of 70 and a standard deviation of 15. Which professor gives out more A’s? Explain your resoning.
  1. At a math rave, a stranger offers to sell you a a proof that angles can be trisected using straightedge and compass only. What do you tell him and why? What method did we use in class to trisect angles?
  2. Nine years ago, Buffy was half the age that Boris will be five years from now. Use algebra to express that relationship. Be explicit about your terms.