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WorksheetsLogic and Venn Diagrams
Total questions: 13
Worksheet time: 19mins
Name
Class
Date
1.
Original Statement:
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
None of the above
2.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
If you make an insurance claim, then your rates will go up.
a)
If your insurance rates do not go up , then you have not maid a claim.
b)
If you do not make an insurance claim, then your rates will not go up.
c)
If your insurance rates go up, then you have made an insurance claim.
d)
If you make an insurance claim, then your rates will not go up.
3.
Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.
If a person is a banjo player, then the person is a musician.
a)
If a person is not a musician, then the person is not a banjo player.
b)
If a person is not a banjo player, then the person is a musician.
c)
If a person is not a banjo player, then the person is not a musician.
d)
If a person is a musician, then the person is a banjo player.
4.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
5.
Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore
a)
look out for the snowplows while driving to school.
b)
the big test will not be given today.
c)
the roads will be hard to drive on.
d)
you should call the school to see if school is canceled.
6.
For the converse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
7.
For the inverse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
8.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
9.
This symbol, ∧, means?
a)
and
b)
or
c)
not
d)
implies
10.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
11.
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.
Let q represent: Brent takes a vacation.
What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.
a)
∴~p
b)
∴~q
c)
~p
d)
~q
12.
Identify each region of the Venn diagram that represents students who only play flute and the oboe.
a)
2
b)
4
c)
1
d)
3
13.
*
a)
63
b)
20
c)
39
d)
30
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