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WorksheetsDetermining the Inverse, Converse and Contrapositive of an If-th
Total questions: 20
Worksheet time: 10mins
What is the symbolic form of a conditional statement?
p → q
q → p
~p → ~q
~q → ~p
When the hypothesis and conclusion of a conditional statement is negated, it is called ______.
Inverse
Converse
Contrapositive
Conditional Statement
Which of the following best describes the converse of a conditional statement?
If it is in the form of “If p, then q”.
Both the hypothesis and conclusion are negated.
The hypothesis and the conclusion are interchanged.
The hypothesis and the conclusion of its converse are negated.
Which of the following best describes the contrapositive of a conditional statement?
If it is in the form of “If p, then q”.
Both the hypothesis and conclusion are negated.
The hypothesis and the conclusion are interchanged.
The hypothesis and the conclusion of its converse are negated.
Given the conditional;
"If Destiny goes to work tonight, then she will make money"
What is the conclusion?
Destiny goes to work tonight
Destiny doesn't go to work
She will make money
then she will make money
If I have a Siberian Husky, then I have a dog.
Identify the hypothesis.
If I have a Siberian Husky.
I have a Siberian Husky.
then I have a dog
I have a dog
Given “If p, then q”, which of the following describes a converse statement?
If p, then q.
If q, then p.
If not p, then not q.
If not q, then not p.
Which of the following forms is a contrapositive of “If p, then q”?
If p, then q.
If p, then q.
If not p, then not q.
If not q, then not p.
Which of the following forms is an inverse of “If p, then q”?
If p, then q.
If p, then q.
If not p, then not q.
If not q, then not p.
Given the conditional statement “If 2x+5=7, then x=1”. The statement “If x=1, then 2x+5=7” is its___________.
Converse
Inverse
Contrapositive
Conditional Statement
Given the conditional statement “If the figure is a quadrilateral, then it is a four-sided polygon”. The statement “If a polygon is not a quadrilateral, then it is not four-sided” is its ___________.
Converse
Inverse
Contrapositive
Conditional Statement
“If a number is divisible by 2 and 3, then it is divisible by 6”. How is it written in an inverse form?
If a number is divisible by 6, then it is divisible by 2 and 3.
If a number is not divisible by 2 and 3, then it is divisible by 6.
A number is not divisible by 2 and 3 then it is not divisible by 6.
If a number is not divisible by 6, then it is not divisible by 2 and 3.
"If it is dark outside, then it is night." What is the contrapositive of this conditional statement?
If it isn't dark outside, then it is not night.
If it is night, then it is dark outside
If it is not night, then it is not dark outside.
It is night.
Given the conditional;
"If it snows then school will be closed"
Which is the inverse?
If school is open, then it didn't snow.
If school is closed, then it snowed.
If it doesn't snow, then school will be open.
If it snows then school will be closed
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"?
inverse
converse
contrapositive
cannot be determined
“If you are in love, then you are inspired.”
Which is the converse?
If you are not inspired, then you are not in love.
If you are not in love, then you are not inspired.
If you are inspired, then you are in love.
Cannot be determined
Jenny asked her friend Jacky to help her write the contrapositive of the statement “If you are a second year student, then you are a sophomore”. To write it correctly, which of the following should be the answer of Jacky?
If you are not second year student, then you are a sophomore.
If you are not a sophomore, then you are a second year student.
If you are not a second year student, then you are not a sophomore.
If you are not a sophomore, then you are not a second year student.
Given the conditional statement;
"If I am hungry, then I eat."
Which of the following is the inverse?
If I eat, then I am hungry.
If I don't eat then I am not hungry
If I am not hungry, then I don't eat.
If I am not hungry, then I eat.
The given conditional statement is “If you were born in the Philippines, then you are a Filipino.” And what it the statement "If you are a Filipino, then you were born in the Philippines."
Inverse
Converse
Contrapositive
Hypothesis
Given the conditional;
"If our class earns ten trucks, then we get a treat."
What is the contrapositive?
If our class doesn't earn ten trucks then we don't get a treat.
If our class doesn't get a treat, then we didn't earn ten trucks.
If our class earns ten trucks then we don't get a treat.
we don't get a treat
