Equation - Elementary Maths - Exam, Exams of Elementary Mathematics

Main points of this past exam are: Equation, Miles Per Hour, Approximately, Sometimes, Multiply, Sometimes Divide, Cunningly Devised Endeavour

Typology: Exams

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 202
Fall’05 Math for Elem Ed II; Exam1 section 101
Print your name:
Show all of your work, and explain your reasoning.
1. Using the fact that there are 5280 feet in one mile, set up an equation that shows that a
speed of 60 mph (miles per hour) is approximately equal to 88 fps (feet per second). Write
your equation so it is clear when and why you sometimes multiply and sometimes divide.
2. Explain in what way the following verse has mathematical significance:
Now I will a rhyme construct,
By chosen words the young instruct.
Cunningly devised endeavour,
Con it and remember ever.
Widths in circle here you see,
Sketched out in strange obscurity.
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Prof. S. Brick Math 202

Fall’05 Math for Elem Ed II; Exam1 section 101

Print your name:

Show all of your work, and explain your reasoning.

  1. Using the fact that there are 5280 feet in one mile, set up an equation that shows that a speed of 60 mph (miles per hour) is approximately equal to 88 fps (feet per second). Write your equation so it is clear when and why you sometimes multiply and sometimes divide.
  2. Explain in what way the following verse has mathematical significance: Now I will a rhyme construct, By chosen words the young instruct. Cunningly devised endeavour, Con it and remember ever. Widths in circle here you see, Sketched out in strange obscurity.
  1. What types of symmetry do the following figures possess:
  2. Give the names of all possible regular polyhedra. Which one did we construct in class and what did we use to construct it? Give Euler’s formula, explicitly defining each of your terms.
  1. Find the measure an interior angle of a regular heptagon. Explain your reasoning and explicitly mention any formula you use.
  2. How many rigid motions are there and what are their names? Which ones preserve orientation? Which ones reverse orientation? Which ones have no fixed points? (A fixed point is a point that is not moved by the rigid motion.)
  1. Draw a tetrahedron when viewed from above (so there are no hidden lines, but you can see all but one of its faces). Is it possible or impossible to draw it without retracing and/or lifting your pen? Explain.
  2. Draw the image of the triangle E (and its label, the letter E) under the dilation with pictured center and scaling factor 12. Explain each steps of your construction. Without doing any measurements, describe how the dilation has changed the area of the triangle.