Math 212 Final Exam Review
Show all work neatly!
Box all final answers.
If you use a calculator, you must still show the process on paper, including every step.
Chapter 10
1. Consider the test scores: 92% 78% 82% 84% 96% 74% 88% 68% 93% 82%
a. Find the mean
b. Find the median
c. Find the mode
d. Find the standard deviation (round to 1 decimal place)
e. Find and interpret a z-score for a 72% test score.
Chapter 11
2. A golf bag contains: 6 white, 4 pink, and 3 yellow golf balls.
a. If two are chosen randomly without replacement, draw a probability tree diagram that represents all
possible outcomes
b. Find P(at least one white)
c. Find P(different colors)
d. Find P(no yellow’s)
3. Compute showing steps:
a. 17P3
b. 22C4
4. Find the probability of drawing 4 jacks in a 5 card poker hand.
5. Find the probability of rolling 3 of a kind with 5 dice.
Chapter 6
6. Place the correct symbol between the fractions ( <, >, = ), show work that justifies your answer
7. Simplify using the rules of divisibility to make a prime factorization of each number:
8. Give a range estimate for each and use the algorithm of your choice to add, subtract, multiply and divide the
fractions: 12
& 6
9. Change the fractions in question 8 to decimals then add, subtract, multiply and divide them.
10. Use the egg carton model to represent and answer: 3
÷
Chapter 7
11. Determine whether
is a terminating or repeating decimal without dividing, give its exact decimal equivalent.
12. Determine whether
is a terminating or repeating decimal without dividing, give its exact decimal equivalent.
13. Convert
̅ to a reduced fraction.
14. Cool trick: convert
to a decimal by finding 2 fractions in 5ths and 3rds that add/subtract to
.
15. A cylindrical pool that is 48 inches deep is being filled by a hose. If it is 7 inches deep after 24 minutes, how
much time will be required to finish filling it to the top?
16. Find 26% of 32 mentally (be sure to show a clear thought process)
17. Change 45% into a reduced fraction.
18. Change into a percent using fractions.
Chapter 8
19. Use the set model to illustrate and answer: -6 - (-2):
= -1 &
= +1
20. Use the measurement model to illustrate and answer: 3 x -4
Chapter 9
21. Use the Pythagorean Theorem to find exact simplified answers for m & n in the figure below.
16
n
m
4
12
22
22. Find at least 7 solutions for the equation: y = -x2 - 6x + 2, then graph the curve.
23. Find at least 7 solutions for the equation: y = √
24. Estimate and answer: -4
÷ 2
25. Estimate and answer: -4
- 2
, then graph the curve.