Math 300

Sample Final Exam

Dr. Wilson

To see a worked solution to the following problems, click on the problem number.

1. If you can run 4 and 1/2 mi per hr, how far will you run in 1/3 hr?

 

2. Write the two division problems which go with #1.

 

3. Linda measured the shadow of a yardstick on the playground. It was 20 inches long. Her shadow was 32 inches long. How tall is Linda?

 

4. Suppose you have $400 in the bank getting 6% annual interest. How much interest will you get in a year?

 

5. 38 people took a class. 12 of them got an A. What percent of the class got an A?

 

6. A certain chemical reaction needs 20 grams of hydrochloric acid. You have a bottle of 12% solution of hydrochloric acid (by weight). How many grams of solution will you need to use in order to get 20 grams of acid?

 

7. mke up an addition, subtraction, and multiplication table for base 2. Do the following base two division problem.

 

To check, convert the divisor and dividend to base ten, do the division in base ten, and convert the base ten quotient and remainder to base two.

8. What is the smallest number of gallons you can measure with a 72 gal bucket and a 21 gal bucket, and how would you measure this amount?

 

9. Let A = {a, b, c, d, e} and B = {a, e, i, o, u}. Find

a)

b)

10. Shade the following regions.

a)

b)

 

11. Write out Pascal's triangle down to the 7th row.

 

12. List all the subsets of {a, b, c}.

 

13. There are 5 people in a study group. Each person shakes hands with all of the other members of the group. How many handshakes are there?

 

14. A class takes a quiz and gets the following scores.

 

22, 23, 25, 33, 33, 33, 38, 41, 44, 44, 49

 

Find the mean, median, mode, upper and lower quartiles, interquartile range, and standard deviation. Make up a stem and leaf plot and a box and whisker plot. Are there any outliers?

 

15. a) What is a probabilistic model?

 

b) How do you use a probabilistic model to compute the probability of an event?

 

16. A pair of dice is rolled. What is the probability of rolling a 7 or an 11?