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Worksheets

Conditional, Converse, Inverse, Contrapositive

Total questions: 12

Worksheet time: 34mins

Name
Class
Date
1.

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!

2.

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

3.

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.

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.

What is the contrapositive to this?

a)

If an angle is not greater than 90, then it is not obtuse

b)

If an angle is not obtuse then it is not greater than 90.

c)

If an angle is 90, then it is right

d)

If an angle is not greater than 90 then it must be acute

6.

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

7.

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.

8.

Statement : 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.

9.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
10.

Statement : If 13 is an even number, then 13 is not divisible by 2

Choose the correct converse for the given statement.

a)

If 3 is an odd number, then 13 is divisible by 2

b)

If 13 in not divisible by 2, then 13 is an odd number

c)

If 13 is not divisible by 2, then 13 is an even number

d)

If 13 is divisible by 2, then 13 is an odd number

11.

Statement : If 9 is a prime number, then 9 has two factors only

Choose the correct inverse for the given statement.

a)

If 9 is a prime number, then 9 did not has two factors only

b)

If 9 is not a prime number, then 9 has two factors only

c)

If 9 has two factors only, then 9 is a prime number

d)

If 9 is not a prime number, then 9 did not has two factors only

12.

Statement : 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.