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Worksheets

Logic Symbols and Statements

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.
This symbol, ∧, means?
a)
and
b)
or 
c)
not 
d)
implies
2.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
3.
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.
a)
∴~p
b)
∴~q
c)
~p
d)
~q
4.
Write p Λ ~q
P: The sun is shining.
Q: It is not hot outside.
a)
The sun is shining and it is not hot outside.
b)
The sun is shining and it is hot outside.
c)
The sun is not shining and it is hot outside.
d)
The sun is shining or it is hot outside.
5.

p: I am not going to work.

q: It is snowing.


Translate the following symbols into a sentence.

~q ^ p

a)

It is not snowing and I am not going to work.

b)

If it is not snowing, then I am not going to work.

c)

It is not snowing and I am going to work.

d)

It is not snowing or I am going to work

6.

p: There is a football game on Friday.
q: Cheerleaders are cool.

Translate from symbols into a sentence.

p  →\rightarrow q 

a)

If there is a football game on Friday, then cheerleaders are cool.

b)

There is a football game on Friday if and only if cheerleaders are cool.

c)

There is a football game on Friday and cheerleaders are cool.

d)

There is a football game on Friday or cheerleaders are cool.

7.

p: Geometry is not the best class.

q: I like to do homework.


Translate from a sentence into symbols.

Geometry is the best class and I do not like to do homework.

a)

~p ^ ~q

b)

p ^ q

c)

p ^ ~q

d)

~p ^ q

8.

Let p represent "Daniel is angry", and let q represent "Daniel is not having fun."

Translate the following into symbolic form...

Daniel is angry or Daniel is not having fun.

a)

p v q

b)

q ^ p

c)

~p ^ ~q

d)

~q v ~p

9.
a)
question
b)
therefore
c)
not true
d)
3 choices
10.

What does this symbol mean?

a)

If__, then___.

b)

negation (not)

c)

therefore

d)

if and only if

11.

What does this symbol mean?

a)

If___, then___.

b)

negation (not)

c)

therefore

d)

if and only if

12.

g: The girl runs.
h: The rabbit hops.
j: The girl and the rabbit are having fun.

g∨hg\vee h  

a)

If the girl runs, then the rabbit hops.

b)

The girl runs and the rabbit hops.

c)

The girl runs or the rabbit hops.

d)

If the rabbit hops, then the girl runs.

13.

The following statements represent p and q


p: the sea is calm

q: the sun is up


Which symbolic statement represents "If the sea is calm then the sun is not up"

a)

p ---> q

b)

q ---> p

c)

~p ---> ~q

d)

p ---> ~q

14.

The following statements represent p and q


p: the sea is calm

q: the sun is up


which worded statement below represents ~p ---> q

a)

the sea is calm if and only if the sun is not up

b)

if the sea is not calm then the sun is not up

c)

if the sea is not calm then the sun is up

d)

the sun is not up but the sea is calm