Free Printable 1.1 Intro to Logic Assignment

1.

1) Given the following conditional statement, what is the hypothesis?

"If I can fly, then I am a bird"

a)

If I can fly, then I am a bird

b)

I am a bird

c)

I can fly

d)

None of the above

2.

2) Given: p= I can't dance and q=I will not go to the dance

What is the conclusion?

a)

If I can't dance, then I will not go to the dance

b)

I can't dance

c)

I will not go to the dance

d)

None of the above

3.

3) Given the conditional statement:

"If Ms. Simmons is at a BBQ, then she will have a hamburger."

What is the converse to the conditional statement?

a)

If Ms. Simmons is not a BBQ, then she will not have a hamburger.

b)

If Ms. Simmons does not have a hamburger, then she is not at a BBQ.

c)

If Ms. Simmons is not a a BBQ, then she will have a hamburger.

d)

If Ms. Simmons has a hamburger, then she is at a BBQ.

4.

4) Given the conditional statement:

"If Ms. Simmons is at a BBQ, then she will have a hamburger."

What is the inverse to the conditional statement?

a)

If Ms. Simmons is not a BBQ, then she will not have a hamburger.

b)

If Ms. Simmons does not have a hamburger, then she is not at a BBQ.

c)

If Ms. Simmons is not a a BBQ, then she will have a hamburger.

d)

If Ms. Simmons has a hamburger, then she is at a BBQ.

5.

5) Given the following conditional statement: "If Sally is at the park, then she will fall off the swing"

What is the contrapositive?

a)

If Sally falls off the swing, then she is at the park.

b)

If sally does not fall off the swing, then Sally is not at the park.

c)

If Sally is not at the park, then she will not fall off the swing.

d)

If Sally does not fall off the swing, then Sally is at the park.

6.

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

a)

$a\longrightarrow b$

b)

$b\longrightarrow a$

c)

$a\longrightarrow\sim b$

d)

$\sim b\longrightarrow a$

7.

7) If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."

a)

$a\longrightarrow b$

b)

$\sim a\longrightarrow\sim b$

c)

$b\longrightarrow a$

d)

$\sim b\longrightarrow\sim a$

8.

8) Conditional: If it does not rain today, then we will have practice.

What is this statement called: If it rains today, then we will not have practice.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

9.

9) Which statement is the converse of the given statement?

If you make an insurance claim, then your rates will go up.

a)

If your insurance rates do not go up , then you have not maid a claim.

b)

If your insurance rates go up, then you have made an insurance claim.

c)

If you do not make an insurance claim, then your rates will not go up.

d)

If you make an insurance claim, then your rates will not go up.

10.

10) Which statement is the contrapositive of the given statement?

If a person is a banjo player, then the person is a musician.

a)

If a person is not a musician, then the person is not a banjo player.

b)

If a person is not a banjo player, then the person is not a musician.

c)

If a person is not a banjo player, then the person is a musician.

d)

If a person is a musician, then the person is a banjo player.

11.

How are the two statements given below related to each other?

X: If you run for 10 minutes, then you will raise your heart rate.

Z: If you do not run for 10 minutes, then you will not raise your heart rate.

a)

Z is the contrapositive of X.

b)

Z is the inverse of X.

c)

Z is the converse of X.

d)

Z is the retrograde of X.

12.

12) What is the inverse of:

\sim h\longrightarrow\sim t

a)

$\sim h\longrightarrow t$

b)

$\sim t\longrightarrow\sim h$

c)

$h\longrightarrow t$

d)

$t\longrightarrow h$

13.

13) What is the converse of the following:

k\longrightarrow\sim w

a)

$\sim w\longrightarrow k$

b)

$\sim k\longrightarrow w$

c)

$w\longrightarrow\sim k$

d)

$k\longrightarrow w$

14.

14) What is the contrapositive of the following:

c\longrightarrow m

a)

$m\longrightarrow c$

b)

$\sim m\rightarrow\sim c$

c)

$\sim c\rightarrow\sim m$

d)

$c\rightarrow\sim m$

15.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

a)

Angle are congruent

b)

The measures of the angles are equal

c)

Angles are not congruent

d)

The measure of the angles are not equal

16.

16) Original Statement:

If I am hungry then I will eat a whole pizza.

New Statement:

If I am not hungry then I will eat a whole pizza.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

None of the above

17.

17) Statement 1: If John does his homework, then he will pass the test.

Statement 2: If John passes the test, then he does his homework.

If Statement 1 is the conditional statement, then statement 2 is the -

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Conditional

18.

18) Given the following contrapositive statement:

“ If I do not have my car keys, then I am not driving my truck.”

What is the conditional statement?

a)

If I have my car keys, then I am driving my truck.

b)

If I am not driving my truck, then I do not have my car keys

c)

If do not have my car keys, then I am not driving my truck

d)

If I am driving my truck, then I have my car keys.

19.

19) Given: v: I am hot. & w: I went swimming.

What is the symbolic form of: “If I am hot, then I will not go swimming.”

a)

$v\rightarrow w$

b)

$\sim v\rightarrow w$

c)

$v\rightarrow\sim w$

d)

$\sim v\rightarrow\sim w$

20.

20) Given the following conditional statement:

"If I live in Norfolk, then I live in VA"

What is the contrapositive of the conditional statement?

a)

If I don't live in Norfolk, then I don't live in VA

b)

If I live in Va, Then I live in Norfolk

c)

If I don't live in VA, then I don't live in Norfolk

d)

If I live in Norfolk, then I live in TN

21.

21) How is statement B related to statement A?

Statement A: If the two angles are not vertical, then the angles are not congruent.

Statement B: If two angles are vertical, then the angles are congruent.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Conditional

22.

22) Let p = You eat an apple.

Let q = You eat fruit.

Argument: If you do not eat an apple, then you do not eat fruit.

Which of the following is the symbolic representation of the given argument?

a)

$\sim q\rightarrow\sim p$

b)

$q\rightarrow p$

c)

$\sim p\rightarrow q$

d)

$\sim p\rightarrow\sim q$

23.

23) Which represents the conclusion of the statement: "If I am tired, then I should go to bed"

a)

I am tired

b)

I am not tired

c)

I should go to bed

d)

I should not go to bed

24.

24) What does the symbol $\sim$ represent?

a)

and

b)

then

c)

or

d)

not

1.1 Intro to Logic Assignment

Total questions: 24

Worksheet time: 1hrs 7mins

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