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Worksheets

Conditional Converse Inverse Contrapositive

Total questions: 20

Worksheet time: 20mins

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 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.

3.

Are the events "takes Spanish" and "participates in a club" independent events?

a)

Yes, because P(S) is the same as P(S given C).

b)

No, because P(S) is not the same as P(S given C).

c)

Yes, because P(S) is the same as P(C given S).

d)

No, because P(S) is not the same P(C given S).

4.

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.

5.

Given the statement "If I study, then I will do well in the quiz" and what is the statement "If I don't study then I won't do well in the quiz"?

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Contrainverse

6.

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.

7.

If an isosceles triangle has 3 sides, then the isosceles triangle has 3 axes of symmetry. Choose the correct contrapositive for the given statement.

a)

If an isosceles triangle has 3 axes of symmetry, then the isosceles triangle has 3 sides.

b)

If an isosceles triangle has 3 sides, then the isosceles triangle did not has 3 axes of symmetry.

c)

If an isosceles triangle did not has 3 sides, then the isosceles triangle did not has 3 axes of symmetry.

d)

If an isosceles triangle did not has 3 axes of symmetry, then the isosceles triangle did not has 3 sides.

8.

For the contrapositive we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

9.

Given the conditional statement; "If Max gets good grade, then he won't be grounded" Which of the following is the contrapositive?

a)

If Max isn't grounded then he gets good grades.

b)

If Max doesn't get good grade then he will be grounded.

c)

If Max gets grounded then he doesn't get good grades.

d)

If Max gets good grades, the he will get grounded.

10.

Given the conditional;

"If Destiny goes to work tonight, then she will make money"

What is the conclusion?

a)

Destiny goes to work tonight

b)

Destiny doesn't go to work

c)

She will make money

d)

then she will make money

11.

Given the conditional; "If Ty'Shawn is late then he will get a tardy" What is the inverse?

a)

If Ty'Shawn is on time, then we won't get a tardy.

b)

If Ty'Shawn gets a tardy, then he is late.

c)

If Ty'Shawn is late then he won't get a tardy.

d)

If Ty'Shawn doesn't get a tardy, then he is on time.

12.

Given the conditional;

"If our class earns ten trucks, then we get a treat."

What is the contrapositive?

a)

If our class doesn't earn ten trucks then we don't get a treat.

b)

If our class doesn't get a treat, then we didn't earn ten trucks.

c)

If out class earns ten trucks then we don't get a treat.

d)

Trucks!

13.

If it snows then school will be closed

Which is the inverse?

a)

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

b)

If school is closed, then it snowed.

c)

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

d)

Let it Snow!

14.

Given the conditional; "If it is a duck then it has a beak." Which is the converse?

a)

If isn't not a duck, then it doesn't have a beak.

b)

If it is a duck, then it quacks.

c)

If it doesn't have a beak, then it's not a duck.

d)

If it has a beak, then it is a duck.

15.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Contrainverse

16.

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.

17.

If Jenny buys a guitar, then she will not buy a keyboard.


What is this?

If Jenny does buy a keyboard, then she will not buy a guitar.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

18.

What does this mean?

a)

Conditional 

b)

Inverse 

c)

Converse 

d)

Contrapositive 

19.

What does this mean?

a)

Conditional 

b)

Converse

c)

Inverse

d)

Contrapositive

20.

When taking the converse we ___________ the hypothesis and conclusion.

a)

negate

b)

switch

c)

leave the same

d)

switch and negate