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Prof. Brick's Math 202 Fall ’03 Final Exam: Solutions and Questions, Exercises of Elementary Mathematics

The final exam questions and directions for prof. Brick's math 202: math for elem ed ii course during the fall ’03 semester. The exam covers various topics such as regular polyhedra, geometry, probability, and algebra. Students are required to show their work and explain their reasoning.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 202
Fall ’03 Math for Elem Ed II; Final Exam section 102
Print your name:
Directions: Show all of your work, and explain your reasoning.
1. List all the regular polyhedra. If you knew the number of faces and which regular polygon
each face is, what formula could you use to find the number of vertices ?
2. How do we know that the constructions using math origami and those by straightedge and
compass actually work ? What can be done with math origami but not with straightedge
and compass ?
3. Juice Inc makes frozen orange juice. Their cans are cylinders with height 6 inches and
diameter of the top being 3 inches. Find the volume (with units) of the cans. Without
recalculating, say what would happen to the volume if each dimension is tripled.
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Download Prof. Brick's Math 202 Fall ’03 Final Exam: Solutions and Questions and more Exercises Elementary Mathematics in PDF only on Docsity!

Prof. S. Brick Math 202

Fall ’03 Math for Elem Ed II; Final Exam section 102

Print your name:

Directions: Show all of your work, and explain your reasoning.

  1. List all the regular polyhedra. If you knew the number of faces and which regular polygon each face is, what formula could you use to find the number of vertices?
  2. How do we know that the constructions using math origami and those by straightedge and compass actually work? What can be done with math origami but not with straightedge and compass?
  3. Juice Inc makes frozen orange juice. Their cans are cylinders with height 6 inches and diameter of the top being 3 inches. Find the volume (with units) of the cans. Without recalculating, say what would happen to the volume if each dimension is tripled.
  1. Describe in words and pictures the steps needed to find the perpendicular bisector of a line segment using only a straightedge and a compass.
  1. Professor Zer wishes to make T-shirts for the math club. A local business has a one time charge of $ 50 and then charges you $ 7 per shirt. Find the formula for cost as a function of number of shirts made. How many shirts can be made with a budget of $ 500?
  2. Professor Zer teaches two classes. His morning class has 30 students and his afternoon class has 20 students. Both classes have to take a skills test. The morning class has a mean score of 60 and the afternoon class has a mean score of 80. Is the mean score of all of Professor Zer’s students less than, equal to, or greater than 70? Is it possible to find the mean score exactly? If it is, do so.
  1. A two-person committee is chosen at random from a group of 10 men and 8 women. What is the chance that two men are chosen?
  2. Professor Zer is 6 feet tall. At noon on Thanksgiving, a tree in his back yard casts a shadow that is 36 feet long while his own shadow is 4 feet long. How tall is the tree? Sketch the similar triangles that you use in your reasoning.
  1. Explain what congruent triangles are. And explain using examples why there is no SSA congruence result.
  2. Let a, b be the current ages of Alice and Beth. Suppose five years ago, Alice was twice as old as Beth would be seven years from now. Find a formula that expresses a relationship between the current ages a and b of Alice and Beth.