WorksheetsLogic Review
Total questions: 20
Worksheet time: 33mins
Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.
What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.
∴~p
∴~q
~p
~q
If it is Saturday, then the school is closed
Assuming these statements are true.
If I get good grades in high school, I will go to college.
I got all good grades.
Which is a valid conclusion using the law of detachment?
I am not going to college.
I am going to college.
I am not getting good grades.
I am a good student.
The given statements are true.
Statement: If you exercise regularly, then you have a healthy body
Statement: If you have a healthy body, then you have more energy.
Using the law of syllogism, which of the following is a valid conclusion?
You have more energy
If you exercise regularly, then you have more energy
You have a healthy body
If you do not have a healthy body, then you do not exercise regularly
Statement 1: If John does his homework, then he will pass the test.
Statement 2: If John passes the test, then he does his homework.
If Statement 1 is the conditional statement, then statement 2 is the -
converse
inverse
contrapositive
conditional
How is statement B related to statement A?
Statement A: If the two angles are not vertical, then the angles are not congruent.
Statement B: If two angles are vertical, then the angles are congruent.
converse
inverse
contrapositive
conditional
Statement: If there are clouds in the sky, then it is going to rain.
What is the contrapositive of this statement?
If it is going to rain today, then there are clouds in the sky.
If there are not clouds in the sky today, then it is not going to rain.
If there are not clouds in the sky today, then it is going to rain.
If it is not going to rain today, then there are no clouds in the sky.
Statement: If I study for a test, then I will pass.
What is the inverse of this statement?
If I passed a test, then I studied.
If I study for a test, then I will not pass.
If I do not study for a test, then I will not pass.
If I do not pass, then I did not study for the test.
~p → q
~q → p
q → p
~p → ~q
What is the contrapositive of q → p?
p → q
~p → ~q
~q → ~p
~p → q
Let p = You eat an apple.
Let q = You eat fruit.
Argument: If you do not eat an apple, then you do not eat fruit.
Which of the following is the symbolic representation of the given argument?
~q → ~p
~p → q
q → p
~p → ~q
What is this statement called: If it rains today, then we will not have practice.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
Rewrite the statement as a conditional statement.
"All dolphins are mammals."
If a dolphin, then a mammal.
If an animal is a dolphin, then it is a mammal.
If an animal is a mammal, then it is a dolphin.
If an animal is not a mammal, then it is not a dolphin.
Match the logic symbol and word.
therefore
or
opposite or not
if then
and
