# CEOE Middle Level/Intermediate Math: Reasoning & Logic Chapter Exam

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#### Question 1 1. What single word best describes Negation logic?

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Question 2
2.
An example of which topic discussed in this lesson is shown below?

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

#### Question 3 3. Which of the following is a conditional statement?

#### Question 4 4. In which method do you understand a problem by using words to work through a problem?

#### Question 5 5. Which of the following connectors is the logical conjunction?

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#### Question 6 6. If x = 1 and y = 2, what can be said about z if z = xy?

#### Question 7 7. What is the question you want to ask yourself when trying to decide if proof by contradiction is the best method to use to prove a statement?

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Question 8
8.
To understand a set, you must understand that a set is a grouping together of items based on a pre-stated condition of inclusion.

This is an example of which principle of the 3-Way Principle of mathematics?

#### Question 9 9. All of the following statements could be proven with a direct proof EXCEPT:

#### Question 10 10. Which of the following statements is NOT true.

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Question 11
11.
If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

#### Question 12 12. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

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Question 13
13.
The statement *A pet can be a quiet companion or a playmate (or both)* is an example of which logic connective.

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Question 14
14.
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?

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Question 15
15.
Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

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#### Question 16 16. Is the product of two even integers even or odd?

#### Question 17 17. Which characteristic is NOT associated with logical/mathematical intelligence?

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Question 18
18.
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 19 19. What is the conclusion in the following statement? 'If p and q are odd integers, then pq is odd.'

#### Question 20 20. Which of the following occurs with a direct proof?

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#### Question 21 21. If you are ready to 'Carry out your plan', you are ready for which step of Polya's Process?

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Question 22
22.
If we wanted to prove the following statement using proof by contradiction, what assumption would we start our proof with?

Statement: When *x* and *y* are odd integers, there does not exist an odd integer *z* such that *x* + *y* = *z*.

*x*and

*y*are odd integers, there does not exist an odd integer

*z*such that

*x*+

*y*=

*z*.

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Question 23
23.
Which of the following is the contrapositive of the following statement.

If a quadrilateral has four sides, then it is a square.

#### Question 24 24. A statement can be determined to be which of the following through a direct proof?

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Question 25
25.
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?

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#### Question 26 26. 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 27 27. Which of the following connectors is the logical disjunction?

#### Question 28 28. What is logical/mathematical intelligence?

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Question 29
29.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

#### Question 30 30. How could you use the 'By Example' method to understand the mathematical concept of greater than (>)?

#### CEOE Middle Level/Intermediate Math: Reasoning & Logic 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!