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QZ-Geometry Inductive Reasoning, Compound and Conditionals

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

Find the next term:

3, 5, 9, 15, 23, . . .

a)

35

b)

25

c)

33

d)

31

2.

What do you call the first part of a conditional statement that follows the word "if"?

a)

conclusion

b)

hypnosis

c)

hypothesis

d)

conjunction

3.

What do you call the second part of a conditional statement that follows the word "then"?

a)

hypothesis

b)

conclusion

c)

conjecture

d)

hypoallergenic

4.
Used to prove that a conjecture is false.
a)
Counterexample
b)
Inductive Reasoning
c)
Concluding statement
d)
Conjecture
5.

Give a counter example to the following statement:

"All odd numbers are prime numbers."

a)

3

b)

11

c)

7

d)

15

6.

Which of the following is a conditional statement?

a)

All even numbers are divisible by 2.

b)

If an even number is divisible by 2.

c)

Then even numbers are divisible by 2.

d)

If an integer is an even number, then it is divisible by 2.

7.

Negate the following statement:

"I love geometry."

a)

Geometry I love

b)

If and only if I love geometry

c)

If I love geometry, then I do not love geometry.

d)

I do not love geometry

8.

Give a counter example to the following statement:

"If candy is crunchy, then it contains nuts."

a)

Snickers Bar

b)

Nerds

c)

Pixy Stix

d)

Almond Joy

9.

How do you write the converse of a conditional statement?

a)

Negate the hypothesis and conclusion

b)

Reverse the hypothesis and conclusion

c)

Negate and reverse the hypothesis and conclusion

d)

Take it to Journeys and buy the converses.

10.

Original: If I have a Siberian Husky, then I have a dog.

What is this? If I have a dog, then I have a Siberian Husky.

a)

Conditional

b)

Converse

c)

Inverse

d)

Contrapositive

11.

Negating both the hypothesis and conclusion of the original conditional is the .....

a)

conditional

b)

converse

c)

inverse

d)

contrapositive

12.

Negating both the hypothesis and conclusion of the converse of the conditional is the ...

a)

conditional

b)

converse

c)

inverse

d)

contrapositive

13.

Original: If angles are congruent, then the measures of the angles are equal.

What is this? If angles are not congruent, then the measures of the angles are not equal.

a)

Conditional

b)

Converse

c)

Inverse

d)

Converse

14.
Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
15.
Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4
a)
0
b)
12
c)
28
d)
42
16.
What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73
a)
32, 62
b)
42, 63
c)
43, 63
d)
42, 62
17.
Which of the following statements is the converse of "If the moon is full, then the vampires are prowling."?
a)
If the vampires are prowling, then the moon is full.
b)
If the moon is not full, then the vampires are prowling.
c)
If the vampires are not prowling, then the moon is not full.
18.

Conditional statement symbol

a)

p ⟶\longrightarrow q

b)

∼p⟶∼q\sim p\longrightarrow\sim q

c)

q ⟶\longrightarrow p

d)

∼\sim q ⟶\longrightarrow ∼\sim p

19.

What is the Hypothesis of this conditional statement: If you live in Nashville, then you live in Tennessee

a)

You live in Nashville

b)

You live in Tennessee

20.

Conjunction means

a)

only one has to be true

b)

both have to be true

c)

none have to be true

d)

:0

21.

Disjunction means

a)

both have to be true

b)

only one has to be true

c)

none have to be true

d)

:0

22.

Bi-Conditional

a)

p⟶qp\longrightarrow q

b)

∼p⟶∼q\sim p\longrightarrow\sim q

c)

q⟶pq\longrightarrow p

d)

p⟷qp\longleftrightarrow q

23.

A inverse statement is formed by ________ the hypothesis and the conclusion

a)

switching

b)

negating and switching

c)

negating

24.

A converse statement is formed by__________ the hypothesis and conclusion

a)

negating

b)

switching

c)

negating and switching

25.

A contrapositive statement is formed by _______________ they hypothesis and conclusion

a)

negating

b)

switching

c)

negating and switching

26.

True or False: If it is St. Patrick's day, then it is march

a)

True

b)

False

27.

True or False: if it is not St. Patrick's Day, then it is not march

a)

True

b)

False

28.

Write a conjunction for the following statement:

"You missed the bus"

"You will be late"

a)

You missed the bus

b)

You missed the bus and you will be late

c)

You missed the bus or you will be late

d)

Don't miss the bus so you won't be late

29.
Let p represent "Daniel is angry", and let q represent "Daniel is not having fun."
Translate the following symbolic form into written form... 
      ~ q ^ p
a)
Daniel is not having fun and Daniel is angry.
b)
Daniel is having fun and Daniel is angry.
c)
Daniel is angry and Daniel is having fun. 
d)
Daniel is angry and Daniel is not having fun.
30.
Let p represent "Daniel is angry", and let q represent "Daniel is not having fun."
Translate the following symbolic form into written form... 
      p ^ ~ q
a)
Daniel is not having fun and Daniel is angry.
b)
Daniel is having fun and Daniel is not angry.
c)
Daniel is angry and Daniel is having fun. 
d)
Daniel is angry and Daniel is not having fun.
31.
What phrase does a biconditional statement use?
a)
if, then
b)
if, when
c)
if and only if
d)
then, if
32.
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.
33.
When can a biconditional statement be true?
a)
When the inverse and the converse are both true
b)
When the original statement (conditional statement) & the contrapositive are both true.
c)
When the converse is true.
d)
When the original statement (conditional statement) and the converse are both true.
34.
  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.
35.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
36.
This symbol, ∧, means?
a)
and
b)
or 
c)
not 
d)
implies
37.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
38.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
39.

What are the truth values for ~p ∨ q

a)

T F T T

b)

T T F T

c)

T T T F

d)

F T T T

40.

What are the truth values for ~(p ∨ q)

a)

T T T F

b)

F F F T

c)

T F T F

d)

F T F T

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