Prof. Brick Math 202, sec 101, Exam 2 Review Su’04
0. Go over all the homework, quizzes, your notes, and other problems from the book.
1. Prove that the measure of an exterior angle of a triangle is greater than the measure of
either of the opposite interior angles.
2. Here are a few facts: there are 3 teaspoons to a tablespoon and 4 tablespoons to a
quarter cup; there are 8 ounces to a cup; a coffee cup holds 6 ounces. Using these facts,
determine how many teaspoons of sugar should be added to a cup of coffee if you want to
have 1 part sugar to 12 parts liquid. Be explicit about how you use the units.
3. Find the height of an altitude of an equilateral triangle with unit sides.
4. Can a straight line transversely intersect a simple closed curve exactly 309 times ?
5. During an interval of twenty minutes, through how many degrees does the minute hand
of a clock move ? the hour hand ?
6. Draw a tetrahedron when viewed from above (so there are no hidden lines). Is it possible
or impossible to draw it without retracing and/or lifting your pen ?
7. Define the mathematical terms: rhombus, convex, and obtuse.
8. 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.
9. Explain what a net is. Then draw a net for the cube.
10. How many types of regular polyhedra are there ? What type did we construct using
an envelope ? Name all the other regular polyhedra.
11. MathTomato Inc produces canned tomato products. Their cans are cylinders with
height 4 inches and diameter of the top being 1 inch. Find the volume (with units) of the
cans. Without recalculating, say what would happen to the volume if each dimension is
tripled.
12. A polyhedron is made up of 5 squares and 2 pentagons. Find the number of edges and
the number of vertices. Explain your reasoning.
13. At noon a car leaves town heading due west at 45mph. At 1pm a second car leaves
town heading due south at 30mph. How far apart (as the crow flies) are the two cars at
2:20pm ?
