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ACT Math - Logic in Mathematics: Help and Review 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!

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Question 1 1. Which of the following is a conditional statement?

Question 2 2. 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 3 3. Which of the following is a conditional statement whose hypothesis is 'Joe has a red car' and whose conclusion is 'Billy gets to drive it'?

Question 4 4. All of the following statements could be proven with a direct proof EXCEPT:

Question 5 5. In a 2-column proof, what goes in the column on the right?

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Question 6 6. In a 2-column proof, what goes in the column on the left?

Question 7 7. All of the following are used in geometric proofs EXCEPT:

Question 8 8.

Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

Question 9 9.

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

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Question 11 11. What is a 'given' statement?

Question 12 12.

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

Theresa loves dogs.

Spot is a dog.

Question 13 13. A statement can be determined to be which of the following through a direct proof?

Question 14 14. All of the following are recommended steps when completing geometry proofs EXCEPT:

Question 15 15.

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

Question 17 17. Which of the following is a conditional statement?

Question 18 18. What is the hypothesis in the following statement? 'If p is an even integer and q is an odd integer, then p + q is an odd integer.'

Question 19 19.

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

ACT Math - Logic in Mathematics: Help and Review 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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