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Quiz 2.1-2.3 CP

Total questions: 75

Worksheet time: 4hrs 35mins

Name
Class
Date
1.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)

If I do NOT have a Siberian Husky.

b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
2.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)

Then I do NOT have a dog.

d)
I have a dog.
3.
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)

Johnny is NOT late to school

c)
Johnny is late to school
d)
Then his mom will have to drive him
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.

Construct a conditional statement from the following: Hypothesis: "It is snowing"; Conclusion: "The temperature is below freezing."

a)

If it is snowing, then the temperature is below freezing.

b)

If the temperature is below freezing, then it is snowing.

c)

If it is not snowing, then the temperature is above freezing.

d)

If the temperature is above freezing, then it is not snowing.

6.

Which is the converse of the statement?

a)

If you are not a guitar player, then you are not a musician.

b)

If you are a musician, then you are a guitar player.

c)

If you are a guitar player, then you are not a musician.

d)

If you are not a musician, then you are not a guitar player.

7.

What is the converse to this?

a)

If you can see a rainbow, then it is raining and sunny

b)

If you cannot see a rainbow, then it is not raining and sunny.

c)

If it is not raining and sunny, then you cannot see a rainbow.

d)

If it is raining and sunny, then you can see a rainbow.

8.

Write a definition of a right angle as a biconditional statement.

a)

An angle is a right angle if and only if it has a measure of 90 degrees.

b)

An angle has a measure of 90 degrees if and only if it is a right angle.

c)

Right angles are 90 degrees.

d)

If an angle is a right angle, then it has a measure of 90 degrees.

9.

Select the conditional statement(s) of the biconditional statement.


Points are collinear if and only if they all lie in one line.

a)

If collinear points lie in one line, then they are a line.

b)

If points all lie in one line, then they are collinear.

c)

Collinear points lie in one line.

d)

If points are collinear, then they all lie in one line.

10.

The 11th figure will be a...

a)

triangle

b)

square

c)

rhombus

d)

circle

11.

How many triangles will be in the next figure?

a)

7

b)

11

c)

9

d)

10

12.
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
13.
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
14.
Used to prove that a conjecture is false.
a)
Counterexample
b)
Inductive Reasoning
c)
Concluding statement
d)
Conjecture
15.

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

a)

40° and  140°40\degree\ and\ \ 140\degree

b)

80° and  80°80\degree\ and\ \ 80\degree

c)

30° and  150°30\degree\ and\ \ 150\degree

d)

90° and  90°90\degree\ and\ \ 90\degree

16.
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
a)
2/3
b)
4/5
c)
1/2
d)
3/2
17.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 
a)
Deductive
b)
Inductive
18.
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
19.

If two lines do not intersect then they are coplanar and parallel, or skew. Lines AB and CD do not intersect.

a)

Lines AB and CD are parallel and not coplanar.

b)

Lines AB and CD are parallel and coplanar or they are skew.

c)

Lines AB and CD are skew.

d)

No Conclusion can be made.

20.

If there is lightening, then it is not safe to be out in the open. Mary sees lightening from her home.

a)

It is not safe for the lightening

b)

No conclusion can be made.

c)

It is not safe for Mary to be out in the open.

d)

There is lightening.

21.

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

a)

If you return to the pool you will enjoy yourself.

b)

If you enjoy yourself, then you went to the pool.

c)

If you go to the pool, you will want to return.

d)

No conclusion can be made.

22.
Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
a)
Invalid
b)
Valid
c)
Sammy is a Great Dane
d)
Sammy is really a cat.
23.

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)

None

24.

Which of the following is a counterexample to the following conjecture? If x2 = 4x^2\ =\ 4 , then x = 2

a)

x = 4

b)

x = -2

c)

x = 2

d)

x = -4

25.
Find the next term in the sequence:
A, D, G, J, _____
a)
L
b)
M
c)
P
d)
K
26.
Complete the conjecture.
The sum of two negative numbers is ___________.
a)
positive
b)
negative
c)
odd
d)
even
27.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
28.
What is the conclusion to this?
a)
Clarkson will be the coolest
b)
Clarkson will not be the coolest
c)
Clarkson gives us Mountain Dew
d)
Clarkson will not give us Mountain Dew
29.

Inductive Reasoning means...

a)

Guessing

b)

Testing and observing patterns to make conjectures

c)

Telling the truth from number patterns

d)

Explain why

30.
Find the next term in the sequence:
A, D, G, J, _____
a)

L

b)

M

c)

P

d)

K

31.

How many squares are in Figure 4?

a)

10

b)

11

c)

12

d)

13

e)

14

32.
Find the next item in the pattern:
-3, 6, -12, 24, ...
a)
36
b)
-36
c)
48
d)
-48
33.

How many blocks will be in the 4th term?



a)

The next term will have 16 blocks

b)

The next term will have 14 blocks.

c)

This is the end of the pattern.

d)

The next term will have 15 blocks.

34.
Complete the conjecture.
The sum of two negative numbers is ___________.
a)
positive
b)
negative
c)
odd
d)
even
35.
Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________
a)
even
b)
odd
c)
zero
d)
positive
36.

A concluding statement reached using inductive reasoning is called a _______

a)

compound statement

b)

conjecture

c)

condition

d)

counterexample

37.

For a conjecture to be true, it must be true...

a)

in most cases.

b)

in all cases.

c)

on Thursday mornings.

d)

at least once.

38.

The table shows the average weights of several subspecies of tigers. What conjecture can you make about the relation between the weights of female tigers and the weights of male tigers?

a)

Female tigers weigh more than male tigers.

b)

Male tigers weigh more than female tigers.

c)

Male and female tigers have equal weights.

39.

According to the graph, which is a reasonable conjecture?

a)

More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

b)

The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.

c)

There were more girls participating in high school lacrosse in Year 5 than in Year 1.

d)

More girls will participate in lacrosse in the United States during Year 8 than in Sweden.

40.

Which of the following is a counterexample to the following conjecture? If x2 = 4x^2\ =\ 4 , then x = 2

a)

x = 4

b)

x = -2

c)

x = 2

d)

x = -4

41.

Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 ≤17\le17  

a)

a = 6

b)

a = 0

c)

a = 5

d)

a = 1

42.

Which is a counterexample to the following statement?


If you add two numbers, then the sum is odd.

a)

2+5=7

b)

3+2=5

c)

1+8=9

d)

2+4=6

43.

Which is a counterexample to the following statement?


If an animal is brown, then it is a dog.

a)

Squirrel

b)

Chocolate lab

c)

White rabbit

d)

Blue jay

44.
What is the hypothesis of the given Conditional Statement?
a)
Jimmy will go to Orlando
b)
Jimmy goes on vacation
c)
Jimmy will go to Orlando
d)
Who is Jimmy?
45.
What is the conclusion to this?
a)
Clarkson will be the coolest
b)
Clarkson will not be the coolest
c)
Clarkson gives us Mountain Dew
d)
Clarkson will not give us Mountain Dew
46.
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
47.

Determine if the conditional is true or false. If it is false, find a counterexample.

"If you live in a country that borders the United States, then you live in Canada."

a)

True

b)

False

c)

False, if you live in a country that borders the United States, then you live in Canada or Mexico.

48.

Which statement has a true truth value?

a)

Fish can walk

b)

Chicken has four legs.

c)

Birds can fly.

d)

Shark has two legs.

49.

Determine if the conditional is true or false. If it is false, find a counterexample.

"If you play a sport with a ball and a bat, then you play baseball."

a)

True

b)

False

c)

False, if you play a sport with a ball and a bat, then you play baseball or cricket.

50.

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

a)

if

b)

then

c)

if and only if

d)

always

51.
  Rewrite the following statement as a      biconditional: "Supplementary angles add up to 180"
a)
If two angles add up to 180o then they are supplementary.
b)
You can't it is conditional.
c)
Two angles are supplementary if and only if the sum of the measure of the two angles is 180o.
d)
If two angles sum does not equal 180o then they are not supplementary.
52.

Select the conditional statement of the biconditional statement:


I am a junior if and only if I am in 11th grade.

a)

I am a junior

b)

If I am a junior, then I am in 11th grade.

c)

I am in 11th grade

53.

Statement 1: All mangoes are a fruits.

Statement 2: All fruits have seeds.

Conclusion: Mangoes have seeds.

a)

Inductive reasoning

b)

Deductive reasoning

c)

Inductivity

d)

Deductivity

54.
A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument
a)
Deductive Reasoning
b)
Inductive Reasoning
c)
Conjecture
d)
Proof
55.

If a student wants to go to university, then the student must study hard and write a good application. Zach wants to go to Harvard.

a)

Zach must study hard and write a good application.

b)

No Conclusion can be made.

c)

Zach will not study but will write a good application.

d)

Zach got accepted to Harvard

56.

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

a)

John may eat with us.

b)

John saw us on Monday

c)

No conclusion can be made since the hypothesis did not occur.

d)

We asked John to have lunch with us.

57.

If two planes intersect, then their intersection is a line. If two planes are not parallel, then they intersect.

a)

No Conclusion can be made.

b)

If two planes intersect they are not parallel.

c)

If two planes are parallel, then they do not intersect.

d)

If two planes are not parallel, then their intersection is a iine.

58.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

a)

If the sun is not shining, we will not go hiking.

b)

If the sun is shining then we will go hiking.

c)

No conclusion can be made.

d)

If we go hiking, then it is a beautiful day.

59.

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

60.

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 study from 6pm to 7pm tonite.

a)

I study for several hours each day.

b)

I will do well on the exam

c)

If I do well on the exam, I studied for hours.

d)

not possible

61.
If the binding of the book is broken, then the student will have to pay for a new one. Michael has to pay for a new book, so he concludes the binding on his book is broken. Is he correct?
a)
Yes
b)
No
62.
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
63.
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
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.
64.
Use Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft2.
a)
If the side of a square is 5 ft, then the perimeter is 20 ft.
b)
If the perimeter of a square is 20 ft, then the area is 25 ft2
c)
If the area of a square is 25 ft2, then the side length is 5 ft. 
d)
If the are of a square is 25 ft2, then the perimeter is 20 ft.
65.
Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
a)
Invalid
b)
Valid
c)
Sammy is a Great Dane
d)
Sammy is really a cat.
66.
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
67.
Which diagram represents:
"If a triangle is equilateral, then it is isosceles."
a)
A
b)
B
c)
C
d)
D
68.

Which law of logic is illustrated by these statements?


If you miss practice the day before a game, then you will not be a starting player in the game.

You miss practice on Tuesday. You will not start the game Wednesday.

a)

Law of Detachment

b)

Law of Syllogism

c)

Speed Limit

d)

None of the above

69.

Which law of logic is illustrated by the following statements?


If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.

If <1 and <2 are vertical angles, then m<1 = m<2.

a)

Law of Detachment

b)

Law of Syllogism

c)

5th Amendment

d)

Not possible

70.

3/9 + 1/3 =

a)

7/9

b)

4/12

c)

6/9

d)

17/21

71.

1/4 + 3/5

a)

17/20

b)

3/20

c)

4/20

d)

4/5

72.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
73.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
74.

−23x = 6-\frac{2}{3}x\ =\ 6  

a)

x = 6

b)

x = -6

c)

x = 9

d)

x = -9

75.

58x+2=17\frac{5}{8}x+2=17  

a)

x = -24

b)

x = 50

c)

x = 24

d)

x = -50

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