SAT Mathematics Level 2: Help and Review  /  Math Courses

Test Prep Plan - Take a practice test

Take this practice test to check your existing knowledge of the course material. We'll review your answers and create a Test Prep Plan for you based on your results.
How Test Prep Plans work
1
Answer 50 questions
Test your existing knowledge.
2
View your test results
Based on your results, we'll create a customized Test Prep Plan just for you!
3
Study smarter
Study more effectively: skip concepts you already know and focus on what you still need to learn.

Logic: 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!

Page 1

Question 1 1.

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

Algebra is easy.

Geometry is a breeze.

Question 2 2.

Which type of logical fallacy is illustrated below?

The moon is made of cheese because it looks like cheese and no one has ever eaten the moon.

Question 3 3. Which statement is an example of circular reasoning?

Question 4 4.

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 5 5. Which of the following is a conditional statement?

Page 2

Question 6 6. What kind of reasoning uses two unrelated events to prove a point?

Question 7 7.

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 8 8.

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

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

Question 9 9.

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

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

Question 10 10.

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?

Page 3

Question 11 11. Which of the following connectors is the logical conjunction?

Question 12 12.

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

Question 14 14.

Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

Question 15 15.

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

Drew likes roses.

Drew loves lilies.

Page 4

Question 16 16.

What kind of logic is presented below?

Your dog loves rock and roll music because my dog loves rock and roll music.

Question 17 17.

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

Question 19 19. 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 20 20. Which of the following is a conditional statement?

Page 5

Question 21 21.

Which logical fallacy is shown below?

Statement 1: If the deer has a red nose, then it is a reindeer.

Statement 2: If it is a reindeer, then the deer has a red nose.

Question 22 22.

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 23 23. Which of the following connectors is the logical disjunction?

Question 24 24.

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 25 25.

Write the inverse of the following statement.

If Sue sees a goat, then Sue milks the goat.

Page 6

Question 26 26.

Which type of logical fallacy is illustrated in the example below?

I will get an A in math class because I spent many sleepless nights studying.

Question 27 27.

What kind of reasoning does the statement below illustrate?

My phone starts to ring whenever my cat starts to purr.

Question 28 28. What is an example of a logical fallacy?

Question 29 29. 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 30 30.

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

Theresa loves dogs.

Spot is a dog.

Logic: 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!

Support