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Logic & Problem Solving in Math Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. What is a concise phrase that sums up the definition of estimate?

Question 2 2. The statement: If a shape has four equal sides with four right angles, then it is a square is an example of which logic connective?

Question 3 3. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

Question 4 4. What does the statement, 'We will go get ice cream if and only if you clean your room' mean?

Question 5 5. Which logic connective has a symbol that looks like an upside down V (or a tepee that traps things inside)?

Page 2

Question 6 6. Identifying all relevant and irrelevant information in a problem is part of which step of Polya's Process?

Question 7 7.

If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream.

Which of the following represents the conclusion in the above conditional statement?

Question 8 8. What is Polya's Four-Step Problem Solving Process?

Question 9 9. If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?

Question 10 10. If you start with what you know about a specific scenario and generalize that information to a whole population, what type of reasoning are you using?

Page 3

Question 11 11.

How many propositions are there in the statement below?

I will buy you a huge bacon cheeseburger and wash your car if and only if you give me your big screen television.

Question 12 12. The fact that positive numbers are larger than negative numbers is an example of which principle?

Question 13 13. What is a very broad definition of mathematical modeling?

Question 14 14. The statement 'multiplying always results in a larger number than the ones you started with' is disproved when multiplying a positive number with a negative number. This is an example of which principle?

Question 15 15. Which of the following connectors is the logical disjunction?

Page 4

Question 16 16. Given 51 * 28, what is a valid estimated answer?

Question 17 17. The Second Step in Polya's Four-Step Problem Solving Process is what?

Question 18 18. What is the negation of 'Triangles are not squares'?

Question 19 19.

If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

Question 20 20. Which is the correct definition of a disjunction?

Page 5

Question 21 21. Why are models not always accurate?

Question 22 22.

Which type of logical fallacy is illustrated below?

Everyone in the class agrees that if x = 2 and y = 2, then x must equal y.

Question 23 23.

p: The pond is not frozen over.

q: The fish are not jumping.

For the combination p AND (NOT q), for which truth values of p and q is the combination true?

Question 24 24. Which statement is an example of circular reasoning?

Question 25 25. Parentheses, exponents, multiplication, division, addition, subtraction (PEMDAS) is a very common example of which principle?

Page 6

Question 26 26. What is an example of a logical fallacy?

Question 27 27.

If he eats a hamburger, then he will eat two bags of fries.

Which of the following represents the hypothesis in the above conditional statement?

Question 28 28.

Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

Question 29 29.

p: The dog rolls over on command.

q: The dog gets a treat.

For the combination p AND q, for which truth values of p and q is the combination true?

Question 30 30. If someone asked you to choose between two candidates for president, but there were still five candidates running for president, what kind of logical fallacy is that?

Logic & Problem Solving in Math Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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