Free Printable Logic Quiz

1.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

2.

What is the symbol for NOT (negation)?

a)

∕

b)

∨

c)

~

d)

∧

3.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

implies

4.

A conjunction (and statement) is true only if

a)

Both statements are false

b)

Both statements are true

c)

One statement is true

d)

One statement is false

5.

A disjunction(an OR statement) is true if

a)

Both statements are false

b)

Only one statement is true

c)

At least one statement is true

6.

p: The girl wears a red hat.
q: The boy wears a blue coat.
Which of the following statements is equivalent to

p\wedge q

?

a)

The girl wears a red hat and the boy wears a blue coat.

b)

The girl wears a red hat or the boy wears a blue coat.

c)

If the girl wears a red hat, then the boy wears a blue coat.

d)

The boy wears a blue coat if and only if the girl wears a red hat.

7.

Given:
p: Juan eats apples.
q: Juan drinks juice.

Write the following:

p\vee\sim q

a)

Juan eats apples or Juan does not drink juice.

b)

Juan eats apples and Juan drinks juice.

c)

If Juan eats apples, then Juan does not drink juice.

d)

Juan does not eat apples or drink juice.

8.

Use the statements in the image and the diagram in the image to write the compound statement. Then give it's truth value.

$p\vee q$

a)

Points C, E, and B are collinear or $\angle AEC\cong\angle DEB$ .

True

b)

Points C, E, and B are collinear and $\angle AEC\cong\angle DEB$ .

True

c)

Points C, E, and B are collinear or $\angle AEC\cong\angle DEB$ .

False

d)

Points C, E, and B are collinear and $\angle AEC\cong\angle DEB$ .

False

9.

Use the statements in the image and the diagram in the image to write the compound statement. Then give it's truth value.

$\sim p\wedge r$

a)

Points C, E, and B are not collinear and $\overrightarrow{EF}$ is the angle bisector of $\angle AED$ .

True

b)

Points C, E, and B are not collinear or $\overrightarrow{EF}$ is the angle bisector of $\angle AED$ .

True

c)

Points C, E, and B are not collinear and $\overrightarrow{EF}$ is the angle bisector of $\angle AED$ .

False

d)

Points C, E, and B are not collinear or $\overrightarrow{EF}$ is the angle bisector of $\angle AED$ .

False

10.

11) ~p ∧ q

a)

TRUE

b)

FALSE

11.

9) q ∨ r

a)

TRUE

b)

FALSE

12.

Determine the truth values of the following compound statements.

$49$ is a perfect square or a prime number

a)

True

b)

False

13.

True or False?

If today is not Valentine's Day, then it is not the month of February.

a)

TRUE

b)

FALSE

14.

What is the Hypothesis of this conditional statement: If you live in Nashville, then you live in Tennessee

a)

You live in Nashville

b)

You live in Tennessee

15.

Conditional statement symbol

a)

p $\longrightarrow$ q

b)

$\sim p\longrightarrow\sim q$

c)

q $\longrightarrow$ p

d)

$\sim$ q $\longrightarrow$ $\sim$ p

16.

What is the conclusion of this statement: If the sum of the measures of the two angles is $90\degree$ , then they are complementary.

a)

they are complementary

b)

the sum of the measures of the two angles is $90\degree$

17.

A inverse statement is formed by ________ the hypothesis and the conclusion

a)

switching

b)

negating and switching

c)

negating

18.

A converse statement is formed by__________ the hypothesis and conclusion

a)

negating

b)

switching

c)

negating and switching

19.

A contrapositive statement is formed by _______________ they hypothesis and conclusion

a)

negating

b)

switching

c)

negating and switching

20.

What is the converse to this statement?

a)

If it isn't dark outside, then it is not night.

b)

If it is night, then it is dark outside

c)

If it is not night, then it is not dark outside.

d)

It is night.

21.

What is the inverse to this statement?

a)

If you live in Canada, you live in Montreal

b)

If you don't live in Montreal, then you don't live in Canada.

c)

If you don't live in Canada, you don't live in Montreal.

d)

Montreal is in Brazil.

22.

What is the conclusion to this?

a)

Clarkson will be the coolest

b)

Clarkson will not be the coolest

c)

Clarkson gives us Mountain Dew

d)

Clarkson will not give us Mountain Dew

23.

What is the contrapositive to this?

a)

If the food is not cooked, then it is not in the oven.

b)

If the food is not in the oven, then it is not cooked.

c)

If the food is cooked, then its in the oven.

d)

If food is not in the oven, then its cooked.

24.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

25.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

26.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

27.

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

a)

$40\degree\ and\ \ 140\degree$

b)

$80\degree\ and\ \ 80\degree$

c)

$30\degree\ and\ \ 150\degree$

d)

$90\degree\ and\ \ 90\degree$

28.

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

a)

If I eat, then I am hungry.

b)

If I don't eat then I am not hungry

c)

If I am not hungry, then I don't eat.

d)

If I am not hungry, then I eat.

29.

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

a)

None of these

b)

If Jose doesn't have an allergic reaction, then he didn't eat fish.

c)

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

d)

If Jose has an allergic reaction, then he ate fish.

30.

Given the statement;

"If it snows then the school will be closed"

Which is the inverse?

a)

If the school is open, then it didn't snow.

b)

If the school is closed, then it snowed.

c)

If it doesn't snow, then the school will be open.

d)

Let it Snow!

31.

For the contrapositive we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

32.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

a)

goldfish

b)

frog

c)

elephant

d)

cat

33.

To fully disprove a conjecture, one needs to find only ONE counterexample.

a)

True

b)

False

34.

Find the next term in the pattern below

a)

b)

c)

d)

35.

The (a) switches the hypothesis and conclusion of the (b) .

Choose from the below words

Converse

Conditional Statement

Negation

Inverse

Contrapositive

36.

Read the statement below:

"If the temperature is $25\degree F$ , then it is below freezing"

What is the truth value for $\sim q\rightarrow\sim p$ ?

a)

True

b)

False

c)

Cannot be Determined

37.

Read the statement below:

"If it is Saturday, then there is no school"

What is the truth value for $\sim p\rightarrow\sim q$ ?

a)

True

b)

False

c)

Cannot be Determined

38.

Statement: "16 - 4 = 10 or 4 is an even number"

Is this statement True or False?

And what kind of compound statement is this?

a)

True; Disjunction

b)

True; Conjunction

c)

False; Disjunction

d)

False; Conjunction

39.

Determine the truth value based on the following information

p: A pentagon has 5 sides

q: Pumpkins grow on trees

r: Rabbits are reptiles

s: Thanksgiving is in November

$p\ \rightarrow\ q$

a)

True

b)

False

40.

What is the converse ( $q\rightarrow p$ ) of the statement:

If you are 13, then you are a teenager.

a)

If you are not 13, then you are a teenager.

b)

If you are 13, then you are not a teenager.

c)

If you are a teenager, then you are 13.

d)

If you are not a teenager, then you are not 13.

Logic Quiz

Total questions: 40

Worksheet time: 1hrs 8mins

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