Sample Final Exam MATH 3032
Bring the following to the final exam.
* Calculator (check batteries)
* Tracing paper
* Straight edge (or ruler)
* Protractor
* Three 3x5 cards (both sides)
1. Find x in each of the following cases. ( 8 points each )
a)
b)
c)
2. Consider the three dimensional figure below.
a) Find the volume ( 6 points )
b) Find the total surface area. ( 8 points )
3. Evaluate the following: ( 4 points each )
a. 9! - 5!
b. 22!
19! 3!
4. Consider this figure.
a) This is a ______________. ( 2 points )
b) Find the height. ( 5 points )
c) Find the volume. ( 5 points )
5. Tell the number of faces, edges, and verticies for the pictured 3-D shape. ( 4 points )
F
V
E
This is a __________________
6. Measure each of the following angles. ( 3 points each )
7. Consider the following figure and calculate the measures
of the requested angles. The two horizontal lines are parallel.
( 3 points each )
The drawing is not to scale.
a. Angle 1
d. Angle 4
b. Angle 2
e. Angle 5
c. Angle 3
8. Consider the convex polygon shown:
a. The measures of the two missing interior angles are? ( 8 points )
b. The measure of Q, the exterior angle at point E? ( 2 points )
9. All of the students in a grade take a test and their mean score is 82.4 overall.
If the total points for the class is 8652 then how many students are there in the grade?
( 8 points )
10. Fill in each blank below: ( 4 points each )
a) The standard deviation is _________ of the variance.
b) If point A=(-2, 7) is moved down 5 and right 1 its new
coordinates are________.
c) If 3/5 of the sample is red what is the proportion of
red to non red? _________
d) If the odds are 8 to 5 then the probability is ________ .
e) If the side of a square is 3x then the diagonal is _________ .
f) The most common value of a set of data is? __________
g) If a ball is contained in a cube of side 4 then the
largest volume it can have is _________ .
h) If the total surface area of a cube is 12 then what
is its volume? ___________
i) The volume of a cylinder is _______ times the volume of the enclosed cone .
j) In the metric system the basic unit of length is the ___________.
11. Fill in each blank below to show a correct conversion: ( 4 points each )
a) 4524 m are _________ km.
b) 3 pecks are________pints.
c) 432 sq. in. _________ sq. ft.
d) 1/2 m3 is ________ cm3.
12. Jeff scored 72 on his math test. The averages were: median = 68, mode = 70, mean = 60.
The variance was 36 and the standard deviation was 6. What was his z-score? ( 8 points )
13. In each of the following cases determine if the information is sufficient to
prove that triangle ABC is congruent to triangle XYZ and, if they are congruent,
what congruence property applies. ( 4 points each )
a) These angles are congruent: A & X, B & Y, C & Z
b) These angles and lines are congruent: A & X; C & Z; AB & XY
c) These angles and lines are congruent: A & X; AB & XY; BC & YZ
14. Using the spinner below, find the following probabilities. ( 4 points each )
The probability of getting in one spin:
a) Black
b) Red or Green
c) White
15. For each of the below figures relocate the figure according to the
transformation indicated. (6 pts. each)
a) Shift right 2 & up 3.
b) Shrink about the point O by 3/4.
c) Rotation clockwise of 90° about the point O.
d) Reflection in the indicated line.
16. Consider a tournament with the best 2 out of 3 winning where the probability
that Chicago wins a given game is 2/3.
a) Draw the probability tree diagram for this tournament, and
label the probabilities for each branch. ( 6 points )
b) Determine the probability of Chicago winning at least
two games. ( 3 points )
c) Determine the probability that the tournament ends after
two games. ( 3 points )
17. Below there are three problems. Each has three sets of data and a description which fits one or
more of those sets of data. Choose the set(s) that fit each description ( 5 points each )
I. The data has a mean of 8 and a median of 5.
i 16, 4, 5, 14, 8, 4, 5
ii 3, 4, 9, 8, 1
iii 2, 3, 8, 2, 5
II. The data has a mode of 8 and a median of 5.
i
1 , 8 , 6 , 3 , 8 , 3 , 9 , 2 , 5 , 8 , 6
ii
2 , 3 , 8 , 5 , 8 , 4 , 1 , 3 , 9 , 6 , 8
iii
3 , 6 , 9 , 4 , 3 , 8 , 8 , 5 , 3
III. The data has a mean of 8 and a mode of 5.
i
2 , 9 , 17 , 5 , 12 , 4 , 8 , 19 , 6 , 5 , 13
ii
3 , 8 , 19 , 4 , 5 , 20 , 2 , 4 , 7
iii
8 , 18 , 4 , 5 , 15 , 9 , 5 , 3 , 5
18. For a regular six sided die the results of a number of rolls are in the rable below. ( 4 points each )
a) According to the table, how many times were the dice rolled?
b) According to the table, what is the probability of rolling a 2
on the die in this experiment?
c) What is the probability of rolling a 2
on a fair die (or the theoretical probability)?
d) Do you think that the die is a fair die? Explain ______
19. Find the perimiter and area of the below figure.
( 6 points each )
a) Perimiter _________
b) Area __________
20. Sketch the following six shapes on the isodot paper. ( 5 points each )
a) A kite that is not a parallelogram.
b) An isosceles trapezoid.
c) A rhombus that is not a rectangle.
d) An obtuse scalene triangle.
e) A non-convex hexagon.
f) A parallelogram that is not a rectangle.
This page updated by
Frank Matthews April 30, 2009