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Worksheetsreasoning
Total questions: 60
Worksheet time: 2hrs 24mins
Name
Class
Date
1.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
2.
Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
a)
Opposite angles of a quadrilateral are congruent
b)
Opposite angles of a rhombus are congruent
c)
Every quadrilateral is a rhombus
d)
Every parallelogram is a rhombus
3.
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.
4.
(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of Contrapositive
d)
invalid
5.
(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?
a)
Figure A is a polygon.
b)
Figure A is a circle.
c)
Figure A is a square.
d)
invalid; nothing belongs in line 3
6.
If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?
a)
∠A is complementary to ∠B
b)
∠A is acute.
c)
∠A is obtuse.
d)
∠A is 40⁰
7.
Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8.
The value of x is 4.
If x has a value of 4, then 2x has a value of 8.
The value of x is 4.
a)
x = 4
b)
no conclusion can be made
c)
2x does not have a value of 8
d)
2x has a value of 8
8.
Write the if-then statement that follows from the pair of true statements. If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic.
a)
If the sun is shining, then it is a beautiful day.
b)
If it is a beautiful day, then the sun is shining.
c)
If the sun is shining, then we will go on a picnic.
d)
If we go on a picnic, then the sun is shining.
9.
Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies. If Chris goes to the movies, then Todd will go to the movies.
a)
If Chris goes to the movies, then Sarah will go to the movies.
b)
If Todd goes to the movies, then Chris will go to the movies.
c)
If Sarah goes to the movies, then Chris will go to the movies.
d)
If Chris goes to the movies, then Todd will go to the movies.
10.
What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
a)
If Tom goes fishing then he catches a fish.
b)
If Tom brings his pole then he goes fishing
c)
If Tom catches a fish then he brought his pole.
d)
If Tom brings his pole then he catches a fish.
11.
Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.
If Steve sits on the bench, then Ronald starts at center.
If Jason plays basketball, then Steve sits on the bench.
If Steve sits on the bench, then Ronald starts at center.
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.
12.
What is the converse of the statement:
If an animal is a dog, then it does not moo.
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
13.
Answer these questions by figuring out which of the four figures belongs on the spot of the question mark.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.
a)
a
b)
b
c)
c
d)
d
14.
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
15.
Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________
The product of any two odd numbers is _____________
a)
even
b)
odd
c)
zero
d)
positive
16.
Find the next term in the sequence:
A, D, G, J, _____
A, D, G, J, _____
a)
L
b)
M
c)
P
d)
K
17.
Find the seventh term in the sequence:
A, D, G, J, _____
A, D, G, J, _____
a)
M
b)
P
c)
S
d)
V
18.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
19.
What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73
23, 33, ___, 53, ___, 73
a)
32, 62
b)
42, 63
c)
43, 63
d)
42, 62
20.
Where would the next red square be?
a)
bottom left
b)
top right
c)
top left
d)
bottom right
21.
What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40
1st term:32
2nd term:36
3rd term:40
a)
4x+28
b)
4x+32
c)
x+4
d)
4x
22.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
23.
Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4
All numbers that are divisible by 2 are divisible by 4
a)
0
b)
12
c)
28
d)
42
24.
Strong support gives enough evidence to support the claim?
a)
False
b)
True
25.
What is an illogical conclusion?
a)
drawing a conclusion based on too little data
b)
making an inference that is not supported by data
c)
basing conclusions on opinion rather than information
26.
Is the following argument best classified as deductive or inductive?
All dogs bark. Fido is a dog, so he barks.
All dogs bark. Fido is a dog, so he barks.
a)
deductive
b)
inductive
27.
Is the following argument best classified as deductive orinductive?
Some cookies are burnt. Some burnt things are good to eat. So some cookies are good to eat.
Some cookies are burnt. Some burnt things are good to eat. So some cookies are good to eat.
a)
deductive
b)
inductive
28.
Inductive reasoning is moving from:
a)
general to particular
b)
top to bottom
c)
bottom up
d)
particular to general
29.
Inductive reasoning is based on:
a)
sylogisms
b)
generalisations
c)
conclusions
d)
reasoning
30.
Mr Duran is a math teacher who earns 250.00 dollars a day for 8 hours of work.Which of the following is an equivalent rate.
a)
250.00 for 5 1/2 hours of work.
b)
Hold on , what's does it mean to have the same rate?
c)
500.00 for 16 hours of work.
d)
250.00 for 10 hours of work.
31.
If X is odd and Y is even, then X must have a greater value than Y. Which example(s) support this statement?
a)
X = 3, Y = 2
b)
X = 4, Y = 3
c)
X = 11, Y = 12
d)
X = 2, Y = 2
32.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
33.
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
34.
If it is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
35.
If it is a number, then it is either positive or negative. What is an appropriate counterexample?
a)
10
b)
-2
c)
0
d)
True. There is no counterexample.
36.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
Conclusion: if you have lots of friends
37.
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?
38.
What is the conclusion to the statement?
a)
You like fried chicken
b)
You only like fried chicken from KFC
c)
You like KFC
d)
You hate KFC
39.
What is the conclusion to the statement?
a)
You like fried chicken
b)
You only like fried chicken from KFC
c)
You like KFC
d)
You hate KFC
40.
What is the conclusion to the statement?
a)
You like fried chicken
b)
You only like fried chicken from KFC
c)
You like KFC
d)
You hate KFC
41.
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.
42.
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.
43.
What is the hypothesis of this conditional?
a)
Sally goes to the park.
b)
Sally will fall off the swing.
c)
Parks don't have swings that Sally goes to.
d)
If Sally falls off the swing, she goes to the park.
44.
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
45.
What is the next number in this pattern?
a)
49
b)
55
c)
57
d)
63
46.
Find the next item in the pattern:
-3, 6, -12, 24, ...
-3, 6, -12, 24, ...
a)
36
b)
-36
c)
48
d)
-48
47.
Which is the correct if-then statement for: "a number divisible by 6 is also divisible by 3 and 2."
a)
If a number is divisible by 6, then it is divisible by 3 and 2.
b)
If a number is divisible by 3 and 2, then it is divisible by 6.
48.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
49.
To write the converse you negate both the hypothesis and the conclusion.
a)
False
b)
True
50.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
51.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
52.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
53.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
54.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
a)
If angles are congruent.
b)
Angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
55.
How many choices are possible when using a single if-else statement?
a)
1
b)
2
c)
3
d)
4
56.
Write the following statement in if-then form.
All students at Hermitage take an English class.
All students at Hermitage take an English class.
a)
If you take an English class, then you are a student at Hermitage.
b)
If you are a student at Hermitage, then you take an English. class
57.
What is the converse of the following statement?
If it is Saturday, then the school is closed
If it is Saturday, then the school is closed
a)
If the school is closed, then it is Saturday.
b)
If it is not Saturday, then the school is not closed.
c)
If the school is not closed, then it is not Saturday.
58.
What is the inverse of the following statement?
If it is Saturday, then the school is closed
If it is Saturday, then the school is closed
a)
If the school is closed, then it is Saturday.
b)
If it is not Saturday, then the school is not closed.
c)
If the school is not closed, then it is not Saturday.
59.
Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.
What is this statement called: If it rains today, then we will not have practice.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
60.
What is the hypothesis of this conditional?
a)
Sally goes to the park.
b)
Sally will fall off the swing.
c)
Parks don't have swings that Sally goes to.
d)
If Sally falls off the swing, she goes to the park.
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