Think you’ve got your head wrapped around **Logic and Proof**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Is the statement "1 + 1 = 2 or any two points determine a line" true or false?

True

False

Both true and false

Not enough information

All of the above

Q. What is the converse of *r* → *z*?

not *z* → not *r*

not *r* → not *z*

Q. Which of "and," "not," and "or" link two statements together?

"and"

"or"

"not"

"and" and "or"

"and," "not," and "or"

Q. How many values of *x* make the statement "*x* ≤ 5 and *x* ≥ 5" true?

None

1

2

5

Infinitely many

Q. Suppose we know *a* → *b*, *b* → *c*. If we know *b* is true, may we infer *c*?

No

Yes, by detachment

Yes, by syllogism

Yes, by transitivity

Yes, by reflexivity

Q. Is the contrapositive of "Everything brown is a dog" true?

No, and a white dog is a counterexample

No, and a brown hat is a counterexample

No, and a white hat is a counterexample

No, and a brown dog is a counterexample

Yes

Q. Which is an example of something "white or not soft?"

Pink cotton ball

Blue bunny rabbit

Gray moldy marshmallow

White rock candy

Green pillow

Q. Suppose that *p* → *q* and *p* → *r*. May we infer that *q* → *r*?

Yes, by detachment

Yes, by symmetry

Yes, by syllogism

Yes, by addition

No

Q. What is the converse of not *p* → not *q*?

not *q* → not *p*

not *p* → *q*

Q. The statements *p* → *q* and *q* → *r* are given. If we know *q* to be true, which of the following CANNOT be assumed as true?