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Worksheets

Logic

Total questions: 21

Worksheet time: 10mins

Name
Class
Date
1.

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

a)

It is Wednesday

b)

Jane doesn't have baseball practice

c)

If it is Wednesday

d)

Then Jane doesn't have baseball practice

2.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
3.

What is the truth value of the converse of:

"If a number is divisible by 20, then it is even."

a)

True

b)

False

c)

Cannot be determined

4.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
5.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

6.
What is this?
a)
Conditional
b)
Inverse
c)
Converse
d)
Contrapositive
7.
When taking the converse we ___________ the hypothesis and conclusion.
a)
negate
b)

reverse

c)
leave the same
d)
switch and negate
8.
What does this mean?
a)
Conditional 
b)
Inverse 
c)
Converse 
d)
Contrapositive 
9.

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.

10.
When taking the inverse we _____________ the hypothesis and conclusion.
a)
negate
b)
switch
c)
switch and negate
d)
leave the same
11.
What does this mean?
a)
Conditional 
b)
Converse
c)
Inverse
d)
Contrapositive
12.

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.

13.

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

a)

If it is not wet, then it is not water.

b)

If it is wet, then it is water.

c)

It is water if and only if it is wet.

d)

There is no biconditional statement.

14.
What phrase does a biconditional statement use?
a)
if, then
b)
if, when
c)
if and only if
d)
then, if
15.
What has to happen in order to write a biconditional statement?
a)
conditional has to be true
b)
converse of the conditional has to be true
c)
all the above
d)
none of the above
16.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

17.

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

a)

Hypothesis: you are in Alaska

Conclusion: you are

cold

b)

Hypothesis: IF you are in Alaska

Conclusion: THEN you are

cold

c)

Hypothesis: THEN you are

cold

Conclusion: IF you are in Alaska

d)

Hypothesis: you are

cold

Conclusion: you are in Alaska

18.

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

a)

True

b)

False

19.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

20.

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

a)

If you wear a uniform, then you play football.

b)

If you do not play football, then you do not wear a uniform.

c)

If you do not wear a uniform, then you do not play football.

d)

There is no converse of the statement.

21.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.