Sample Test II MATH 3032
1. Complete the following statements. (3 points each)
a) How many pints are a peck? ___________
b) How many teaspoons are a ounce? ___________
c) How many mg are in a kg? _______
d) How many gills are a quart? _______
e) Hecto represents what multiple in the metric system?___________
f) What is the prefix for 10 in the metric system___________
2.What is the basic old fashioned unit for measuring small farms? ( 4 points)
3. Mark each of the following as either TRUE or FALSE. (3 points each)
a) For all numbers the GCF is less than or equal to the LCM.
b) The cube of any number has a prime decomposition with only
odd exponents.
c) The square of any number has a prime decomposition with
only even exponents.
d) A scalene triangle is not a right triangle.
e) An equilateral triangle is isosceles.
f) A polyhedron must have more vertices than faces.
4. Write each of the following with only one exponent. (2 points each)
a) 7 2 9 divided by 32
b) 4 x 83 x 642
5. Which is larger 810 or 168? And why. (3 points)
6. What is the digit in the ones place of 350? (4 points)
7. What is the digit in the 200th place of 0.(23873498765120) (5 points)
8. Represent the following repeating decimals as a fraction. (5 points each)
a) 0.35(647) .
b) 0.2(34) .
c) 0.254(87) .
9. Given the following values:
L = 55 x 7 x 114 x 134
M = 53 x 74 x 112 x 132
N = 56 x 72 x 115
what are each of the following numbers? You do not need to multiply them out. (4 points each)
a) The G C F of M and N.
b) The L C M of M and N.
c) The G C F of L and N
d) The L C M of L and M
10. What is the GCF & LCM of
64 x 73 x 83 and
66 x 72 x 82.
(3 points each)
11. What are the G C F and L C M of 96 and 72? (3 points each)
a) G C F
b) L C M
12. How many factors are there in each of the following? (3 points each)
a) 32 x 53 x 72
b) 62 x 74 x 82
13. Dr. Xiadies has 104 students in his classes. The ratio of math majors to non
math majors is 4 to 9. How many math majors does he have? (4 points)
14. Cary was going to meet Jane at the train station. If he traveled at 60 mph he
would be 1 hour early. If he traveled at 30 mph he would be 1/2 hour late.
How far was the station? (4 points)
15. Ms. Lippy has three times as many girls as boys in her class while Ms. Price has
twice as many boys as girls. If Ms. Lippy has 48 students and Ms. Price has 69 students
what will be the ratio of girls to boys if the classes are combined? (4 points)
16. Suppose that you drive an average of 4460 miles every six months in your car.
At the end of 2 3/4 years how far will you have driven your car? (4 points)
17. Change this fraction 7/19 to a repeating decimal. (4 points)
18. Consider the following figure and calculate the measures
of the requested angles. The two horizontal lines are parallel.
(2 points each)
a. Angle 1
b. Angle 2
c. Angle 3
d. Angle 4
e. Angle 5
f. Angle 6
19. Given a triangle and a circle draw examples where they intersect at exactly
the requested number of points. (3 points each)
a. Four
b. Five
20. The measure of angle 1 is 10 degrees more than twice that of angle 2. If the
two angles are supplementary what is the measure of angle 1? (3 points)
21 How many sides are there in a regular polygon with a vertex angle of 176 degrees?
(4 points)
22. What is the maximum number of points of intersection between a triangle and a
hexagon if there are no line segments in the intersection? (4 points)
23. Describe a pair of parallel lines and another pair of lines which are skew
from a real life situation. (4 points)
24. One container holds the letters D A D while a second holds A D D. A letter is drawn
from the first container and put into the second.
What is the chance that an A was drawn from the first container if you know that
the second letter was an A. (4 points)
25. Given that vertex A of triangle A,B1,C1 coincides with that of A,B2,C2 while
segment AB1 is a subset of AB2 and AC1 is a subset of AC2 with segment B1C1 parallel
to B2C2 if AB1=2 while AB2=5 what is the length of B2C2 in terms of the length of B1C1?
(4 points)
26. If you have a right prism where the base is a regular pentagon describe
all of the faces of the prism. (5 points)
27. If you have a right pyramid where the base is a regular hexagon describe
all of the faces of the pyramid. (5 points)
28. How many planes of symmetry are there in a right octagonal pyramid? (3 points)
29. Apply Euler's formula to a truncated right square pyramid and show how it works.
(3 points)
30. Slicing a cube with a plane show how the intersection can be an equilateral
triangle. (3 points)
31. Describe a figure with a cross section that has a constant diameter but where
the cross section is not a circle. (5 points)
32. Find the value of x in the below figure. (5 points)
This page updated by
Frank Matthews Apr. 1, 2009