Discrete Math Test, Chapter 1



Discrete Math Review, Chapter 1 Name _____________________________ ___

Part 1 – No calculators allowed

For questions 1 and 2, determine which reasoning model is shown.

1. The policy for a college psychology course states that if a student turns in at least 80% of their homework, their lowest test score will be dropped. Derek turned in 90% of his homework in the course, so his lowest test grade will be dropped.

reasoning model:______________________________________

2. A forensics team examined the fingerprints of 500 people and found that no two fingerprints were the same. They then concluded that no two people’s fingerprints are the same.

reasoning model:______________________________________

For questions 3 – 5, determine the pattern used to get the next term. Then state the next number or computation.

3. 0, 5, 10, 15, ______ : pattern___________________________________________________________________

4. [pic] _____: pattern_______________________________________________________________

5. 3367 x 3 = 10,101 pattern:____________________________________________________________

3367 x 6 = 20,202 __________________________________________________________________

3367 x 9 = 30,303

3367 x 12 = 40,404

___________________

6. Round 3,279,734 to the nearest thousand. _____________________________________________

7. Round 706.384682478 to the nearest ten thousandth. ____________________________________

For questions 8 – 11, determine each estimate. Different rounding results in different estimates, so there is not one single correct answer to each question. Then explain your method of rounding.

8. For a spring break vacation, Janet needs to spend $86.00 for gas, $311.00 for food, and $405.00 for a hotel room. If she takes $681.79 from savings, estimate how much more money she needs for the vacation.

_____________________________________________________________________________________________

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9. The cost for opening a restaurant is $485,000. If 19 people decide to share equally in the business, estimate the amount each must contribute.

_____________________________________________________________________________________________

_____________________________________________________________________________________________

10. Find an estimate of 0.48992 x 121.976.

_____________________________________________________________________________________________

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11. Page 24 – 25 of your text, #51, 52

Part 2 – You may use your calculator for this section.

For questions 12 and 13, use Polya’s four-step method in problem solving to solve each problem.

12. In a basketball game, the Bulldogs scored 34 two-point field goals, 5 three-point field goals and 13 foul shots, each counting 1 point. The Panthers scored 38 two -point field goals, 1 three -point field goal, and 18 fouls shots. Which team won the game and by how much?

a. Understand the problem: _______________________________________________________________

_____________________________________________________________________________________________

b. Devise a plan: ________________________________________________________________________

_____________________________________________________________________________________________

c. Carry out the plan and solve the problem:

winner: ________________ margin of victory: _____________

d. Look back and check the answer: ________________________________________________________

_____________________________________________________________________________________________

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