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4th Year Standing II

Total questions: 50

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
Which is the converse of: If you blow up the Death Star, then you are Luke Skywalker.
a)
You blow up the Death Star if  and only if you are Luke Skywalker.
b)
If you are not Luke Skywalker, then you do not blow up the Death Star.
c)
If you do not blow up the Death Star, then you are not Luke Skywalker.
d)
If you are Luke Skywalker, then you blow up the Death Star.
2.
Which is the contrapositive of: If you have an eidetic memory, then you are Sheldon Cooper.
a)
If you are Sheldon Cooper, then you ahve an eidetic memory.
b)
If you are not Sheldon Cooper, then you do not have an eidetic memory.
c)
IF you do not have an eidetic memory, then you are not Sheldon Cooper.
d)
You have an eidetic memory if and only if you are Sheldon Cooper.
3.
Which is the converse of: If today is Wednesday, then yesterday was Tuesday.
a)
If yesterday was Tuesday, then today is Wednesday.
b)
If yesterday was not Tuesday, then today is not Wednesday.
c)
Today is Wednesday if and only if yesterday was Tuesday.
d)
If today is not Wednesday, then yesterday was not Tuesday.
4.
What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."
a)
if they add up to 180 degrees
b)
the angles are supplementary
c)
they add up to 180 degrees
d)
there is no conclusion
5.
Given:  If I get an A on my test then my mom will buy me a TV.
I got a 94 on my test.
what conclusion can be made.
a)
I am smart.
b)
I got an A on my test.
c)
My mom will buy me a TV.
d)
I must have cheated.
6.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
7.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
8.
Given
 “If Jason plays basketball, then Steve sits on the bench.   If Steve sits on the bench, then Ronald starts at center.”    
 Which of the following is a valid argument?
a)
If Steve sits on the bench then Jason plays basketball.
b)
If Ronald starts at center then Jason plays basketball.
c)
If Steve sits the bench then Ronald does not start at center.
d)
If Jason plays basketball then Ronald starts at center.
9.
What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."
a)
His mom will have to drive him
b)
If Johnny is late to school
c)
Johnny is late to school
d)
Then his mom will have to drive him
10.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
11.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
a)
If the angles are congruent.
b)
The angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
12.
Which statement is the contrapositive of the given statement?
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.
13.
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.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
None of the above
14.
Write the converse of the statement:
If an animal is a dog then it does not moo.  
a)
If an animal is not a dog then it does moo
b)
If an animal can moo then it is not a dog
c)
If an animal does not  moo then it is a dog
d)
An animal is a dog if and only if it can moo
15.
Using the statement:
If it is Friday then I will get paid.
Write the conclusion
a)
If it is Friday
b)
it is Friday
c)
then I will get paid
d)
I will get paid
16.
For the converse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
17.
For the inverse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
18.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
19.
This symbol, ∧, means?
a)
and
b)
or 
c)
not 
d)
implies
20.
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
21.
The type of reasoning where a person makes  conclusions based on observations and patterns is called...
a)
Inductive reasoning
b)
Deductive reasoning
c)
Conjecture
d)
Experiments
22.
What is a conjecture?
a)
A statement believed to be true based on observations.
b)
An example which disproves an hypothesis.
c)
the performance of tricks that are seemingly magical
23.
Where would the next red square be?
a)
bottom left
b)
top right
c)
top left
d)
bottom right
24.
What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___
a)
32, 37
b)
30, 37
c)
30, 33
d)
32, 35
25.
Used to prove that a conjecture is false.
a)
Counterexample
b)
Inductive Reasoning
c)
Concluding statement
d)
Conjecture
26.

A type of reasoning that uses general facts, definitions, and accepted properties in a logical order to write a logical argument.

a)

Inductive

b)

Deductive

c)

Logic

d)

Reasoning

27.

An unproven statement which is based on observations.

a)

Reasoning

b)

Conclusion

c)

Conjecture

d)

Logic

28.

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

a)

Inductive

b)

Deductive

29.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 
a)
Deductive
b)
Inductive
30.
All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 
a)
Deductive
b)
Inductive
31.

You see the numbers 2, 4, .... and decide the next number must be a 6


What type of reasoning was used?

a)

Inductive

b)

Deductive

32.

A sentence that can be judged either true or false is called a(n) ________.

a)

negation

b)

quantifier

c)

statement

d)

Not sure. I was using my cell phone.

33.

The negation is symbolized by _____ and is read "not."

a)

≈\approx  

b)

→\rightarrow  

c)
d)

∼\sim  

34.

A compound statement joined by the word AND.

a)

Disjunction

b)

Conjunction

c)

Conclusion

d)

Biconditional

35.

A compound statement joined by the word OR.

a)

Conjecture

b)

Inverse

c)

Disjunction

d)

Conjunction

36.

A statement that can be written in the form "if-then."

a)

Compound Statement

b)

Conjuction

c)

Converse

d)

Conditional Statement

37.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

38.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

39.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

40.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

a)

If a species is not human, then it does not walk on two feet.

b)

If a species is human, then it walks on two feet.

c)

If a species does not walk on two feet, then it is not human.

d)

There is no contrapositive of the statement.

41.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

a)

Contrapositive

b)

Converse

c)

Biconditional

d)

Inverse

42.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

a)

Inverse

b)

Contrapositive

c)

Biconditional

d)

Converse

43.
What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."
a)
If an angle has 90 degrees, then it is a right angle.
b)
If an angle is a right angle, then it has 90 degrees.
c)
An angle is a right angle if and only if it has 90 degrees.
44.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
45.
Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.
a)
You live in Disney Land
b)
You are an old person.
c)
You live in Florida
d)
You live in Orlando
46.
Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam
a)
 I study for 1 hour each day.
b)
I do not study for 1 hour each day
c)
If I do well on the exam, I studied for 1 hour each day.
d)
not possible
47.
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
a)
You have more energy
b)
If you exercise regularly, then you have more energy
c)
You have a healthy body
d)
If you do not have a healthy body, then you do not exercise regularly
48.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

49.
Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.
a)
Jack skipped school.
b)
It isn't Monday.
c)
It's Saturday.
d)
Invalid
50.
Use Law of Syllogism to make a conclusion.
 If a number is divisible by 10, then it is divisible by 2.  If a number is divisible by 2, then it is even.
a)
If a number is divisible by 10, then it is even,
b)
If a number is even, then it is divisible by 10.
c)
If a number is divisible by 2, then it is even.
d)
If a number is even, then it is divisible by 2.

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