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Final Exam
Math 185
Fall 2008
Name ____________________________
Calculator Permitted
1. Tell whether the following sequence is arithmetic or geometric and find the 56th term.
45, 51, 57, 63, 69, ...
2. Given the following geometric sequence, find the nth term.
4, 12, 36, 108, ...
3. Tim has a carpenter come to his home to repair his stairs. The carpenter charges a $45
fee to inspect the stairs and $35 per hour to fix them. Write an algebraic expression that
can be solved to find the carpenter’s total pay.
4. Fill in the blank so the resulting number is divisible by 2, 3, 4, 6, 8, 9 and 11. Use your
rules of divisibility to prove that the above numbers are divisors.
958003__
5. Use the prime factorization of each number to find their GCF and LCM.
5  7  11  13 2 and
2 2  5 2  112
6. I have a jug full of punch. My husband drank
3
3
of it and then I spilled
5
4
of what remained. How much of the original container is left?
7. Compute the answer to the following division problem and then draw a picture to
explain why you got that answer.
2
1 1

2 4
2
5
 3  3
8. Simplify      . Write your answer with a positive exponent.
5 5
9. Express 0 . 456 as a fraction. (No need to reduce)
10. How do you know when a fraction can be represented as a repeating decimal? Up to
how many digits will you have to look to see where the pattern stops?
11. Is
1 2 3 4 5
, , , , , ...
2 3 4 5 6
a geometric sequence. Why or why not?
12. Sarah is working on a paper. She has worked for 5
3
3
hours on it and she is only of
8
4
the way done. How much longer does she need to work? Write your answer as a mixed
number.
13. In the following picture, color the portion that represents U  ( A  B  C ) in one
way and then color C   A  B  . Create a key.
14. Let A = { x  x  4 y where y 
and B = { x  x 
and  3  y  0}
and 0  x  3} . What is A  B and A  B ?
15. A bag contains the names of all the people who are on the sales team at a particular
company. There are 11 women and 14 men. If 3 names are chosen at random to decide
the winners of a raffle what is the probability that all 3 names are men’s names?
16. A license plate in the state of New York consists of 4 letters and 3 numbers. How
many different possible license plates are there if any letter or number can be repeated?
17. From problem 16, how many fewer license plates are there if no number or letter can
be repeated?
18. If I have 30 students in my classroom, how many different ways can I choose a
President, a Vice President and a Treasurer for the class?
19. If there are 30 students in my classroom how many different ways can I choose a 3
person committee?
20.
In the picture below, if the survey consisted of 450 people, how many of them
used wood to heat their homes?
21. Which measure of central tendency is the best to describe the following set of
numbers? Why?
0, 34, 36, 39, 91
22. Change 45638four
to base 10.
23. Change 5559 to base 6.