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Math Exam: Summer '04, Math for Elem Ed II, Final Exam Solutions, Exams of Elementary Mathematics

The solutions to a final exam for a math for elementary education ii course, covering topics such as drawing an obtuse scalene triangle, algebraic relationships, percentages, geometry, probability, and constructions. Instructions for each problem and requires students to explain their reasoning.

Typology: Exams

2012/2013

Uploaded on 03/31/2013

parthavi
parthavi 🇮🇳

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Prof. S. Brick Math 202
Summer ’04 Math for Elem Ed II; Final section 101
Print your name:
Show all of your work, and explain your reasoning.
1. Draw an obtuse scalene triangle and find its centroid. Explain your choices and the steps
you take. Be sure to draw large enough so that your work is legible.
2. Six years from now, Buffy will be 1/3 the age that Boris was seven years ago. Use algebra
to express that relationship. Be explicit about your terms and explain your reasoning.
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Download Math Exam: Summer '04, Math for Elem Ed II, Final Exam Solutions and more Exams Elementary Mathematics in PDF only on Docsity!

Prof. S. Brick Math 202

Summer ’04 Math for Elem Ed II; Final section 101

Print your name:

Show all of your work, and explain your reasoning.

  1. Draw an obtuse scalene triangle and find its centroid. Explain your choices and the steps you take. Be sure to draw large enough so that your work is legible.
  2. Six years from now, Buffy will be 1/3 the age that Boris was seven years ago. Use algebra to express that relationship. Be explicit about your terms and explain your reasoning.
  1. The Zer family spends 30% of their income on food. They spend 5/7 of what remains on food. Make up a pie chart with three categories housing, food, and other. Find both the angles and the percentages. Show and explain your work.
  2. At 12:30pm a car leaves town heading due west at 40mph. At 1:45pm a second car leaves town heading due north at 80mph. How far apart (as the crow flies) are the two cars at 2:30pm? Draw a picture and show and explain your work. Give the name of the theorem you are using.
  1. Give the names of all possible regular polyhedra. Which one did we construct in class? What did we use to construct it? State Euler’s formula for polyhedra, defining each of its terms.
  2. Name a construction about angles that can be done and another that cannot be done with straightedge and compass. What is the type of method (from class) that handles the latter construction?
  1. A triangle has a side of length 7 inches and another of length 1 foot. What can you say about the length of the other side? Explain using words and some pictures. Can the triangle ever be isosceles? If so, draw the possible isosceles triangles that could result.
  2. Draw the image of the triangle E (and its label, the letter E) under the dilation with pictured center and scaling factor 14. Explain each steps of your construction. Without doing any measurements, describe how the dilation has changed the area of the triangle.
  1. A birthday cake has been baked in a “square” cake pan that measures 7′′^ by 7′′^ by 2′′. When baked, the cake rises one inch above the rim of the pan. The top and the sides are frosted. Find the volume of the cake and the surface area that is frosted. Explicitly mention what formulas you are using.
  2. A club has 28 members. How many ways are there to pick a president, a vice president, a secretary and a treasurer? A five person committee must be chosen from the remaining members. How many different committees can be chosen? Explicitly mention what formulas (and their names in symbols) that you use.

SCRATCH PAPER below– will not be graded