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Overview of Mathematical Reasoning 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. Given the options below, what is the more advanced computer software program, having more functionality for subjects in engineering and finance?

Question 2 2. What is the most specific example below of how art might be used to expound upon a math concept?

Question 3 3. What is an example of translating from a written or verbal form of a math concept to a symbolic form of that same concept?

Question 4 4. Which logic connective has a symbol that looks like an upside down V (or a tepee that traps things inside)?

Question 5 5. Which of the following is NOT one of the five main logic connectives?

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Question 6 6. What single word best describes Negation logic?

Question 7 7. 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 8 8.

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

Theresa loves dogs.

Spot is a dog.

Question 9 9.

If a = c and b = c, what kinds of new statements can you make?

A: If a = c and b = c, then a = b.

B: If a = 1, then b = 1.

C: If b = 2, then a = 1.

Question 10 10. Which of the following is a conditional statement?

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Question 11 11. Which of the following is a conditional statement?

Question 12 12.

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 13 13.

In the following statement, which part is the hypothesis?

If all mammals are animals, then dogs are animals.

Question 14 14.

Which of the following is the inverse of the below argument?

If I am in Kansas, then I'm in the United States.

Question 15 15. Which of these is always logically equivalent to the inverse?

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Question 16 16. If a distance (let's call it diameter-d) through the very center of a circle from one side of the edge of the circle to the other is two-times the radius-r, d = 2r, what is the diameter of a circle with a circumference-C of 5 miles?

Question 17 17. To reach the roof of a building, a ladder is extended 25 feet, 6 feet from the base of the building. How high is the building?

Question 18 18. If one were to travel in a complete circle through a distance of 5 miles, what would the radius of the circle be?

Question 19 19. Which is the correct definition of a conjunction?

Question 20 20.

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

Drew likes roses.

Drew loves lilies.

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Question 21 21. Which is the correct definition of a disjunction?

Question 22 22.

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

Question 25 25. What tool was invented in China's Golden Age helped civil servants calculate taxes, wages, and engineering solutions?

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Question 26 26. Al-Khwarizmi created the framework for what branch of mathematics?

Question 27 27. When did humans begin developing systems for tracking numbers and time?

Question 28 28. Using a known formula to calculate a solution to an algebra equation is an example of which type of reasoning?

Question 29 29. 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 30 30. Most advanced mathematical proofs use which type of reasoning?

Overview of Mathematical Reasoning 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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