Final Exam Review – Math 1351
1. A couple decides to have 3 children.
a) Use a tree diagram to create the sample space of all possible gender outcomes.
b) Calculate the probability of having exactly 2 girls
c) Calculate the probability of having at least one girl.
2. In the 1960 presidential election, John F. Kennedy received 34,226,731 votes and Richard
Nixon received 34,108,157 votes. If one voter is chosen at random, calculate:
a) P(voted for Nixon)
b) P(voted for JFK)
3. A box contains 3 white balls and 5 black balls. If two balls are chosen at random, find the
probability that 2 white balls are chosen if the draws are made:
a) with replacement
b) without replacement
4. Five horses run in a race. How many ways can 1st, 2nd, and 3rd place be awarded?
5. Find the number of 4-member committees that can be formed from a group of 10 people.
6. Use the following list of data for parts a–g:
5
a)
b)
c)
d)
e)
f)
8
6
3
5
4
3
6
1
9
Calculate the mean
Calculate the median
Calculate the mode
Calculate Q1
Calculate Q3
Calculate the IQR
7. Find the complement and supplement of 87º.
8. Find the measure of the sum of the interior angles in a regular hexagon.
9. In a certain regular polygon, the measure of each interior angle is 176º.
How many sides does the polygon have?
10. In a certain triangle, the measure of one angle is twice the measure of the smallest angle.
The measure of the third angle is 7 times greater than the measure of the smallest angle.
Find the measure of each angle in the triangle.
11. Find the measure of angles 1, 2, 3, 4, and 5:
(Given: ED parallel to AB; AC parallel to DF)
C
70°
E
D
3
2 5
1
4
F
A
45°
B
12. Find the measure of angle DCB:
C
55°
A
D
B
13. Are the following triangles congruent, similar, or neither (give a reason)
a)
b)
c)
d)
14. Solve the following using either Substitution or Elimination:
 x  2y  3

2 x  y  9
15. Calculate the slope of the line that goes through the points (-8, 4) and (9, -3).
16. The following are illustrations of similar triangles. Find the missing side.
a)
b)
x
x
3 in
20 m
64 m
16 m
8 in
5 in
17. Convert the following:
50 ft
= ______________________yd
947 yd = ______________________mi
5 km
= ______________________m
165 cm = ______________________m
52 cm = ______________________mm
20 km2 = ______________________m2
5.6 mm2 = ______________________m2
1.45 cm3 = ______________________m3
18. Find the area of a parallelogram with base 6 m and height 4 m.
19. Find the area of a circle with diameter 18 mm.
20. Find the area of a trapezoid with height 4 in, bases of 10 in and 12 in.
21. Find the surface area and volume of a right cylinder with a radius of 3 cm and a height of 10 cm.
22. Find the surface area and volume of a sphere with a radius of 5 m.
23. Find the surface area and volume of a rectangular prism that is 8 meters high and has a base
that is 4m wide and 10m long.
24. Find the volume of a pyramid with a square base (8 mm each side) and a height of 6 mm.
25. Complete the following translations:
•
•
•
•
•
•
•
(x, y)  (x-3, y+2)

•
•
•
•
•
•
•
•X
•
•
•
•
•
•



•
•
• x′ •
•
•
•
•
•
•
•
•
•
•













26. Construct the reflection about line m
(tracing paper)
27. Construct a size transformation
centered at O with a scale factor of 2.5.
O



m














28. Perform a 90° clockwise rotation about the origin.
(tracing paper)

29. Identify the line(s) of symmetry:
















30. Find the distance between the points
(-4, 5) and (6, 2).