Free Printable Unit 2 Logic Quiz Review

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Unit 2 Logic Quiz Review

Total questions: 14

Worksheet time: 30mins

Name

Class

Date

Match the following

An educated guess based on inductive reasoning.

Conjecture

The truth or falsity of a statement.

Inductive Reasoning

A conclusion that was reached using facts.

Deductive reasoning

A conclusion that was reached using patterns.

Counterexample

Proof that a conjecture is not always true.

Truth Value

Consider the following conditional statement. Write the Converse, Inverse, and Contrapositive.

"If three points are colinear, then they are in the same plane."

If three points are in the same plane, then they are colinear. (a)

If three points are not in the same plane, then they are not colinear. (b)

If three points are not colinear, then they are not in the same plane. (c)

Choose from the below words

Converse

Contrapositive

Inverse

A conditional is false only when the hypothesis is…

True and the conclusion is false

False and the conclusion is false

True and the conclusion is true

False and the consequent is true

Match the following

and

$\sim$

$\wedge$

not

$\vee$

If Bill wears a green shirt, then he will pass the test. Bill wore a green shirt.

What can you conclude?

Bill wore a green shirt.

Bill passed the test.

Nothing

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

Conditional

Conjecture

Biconditional

Use the statements below to think about each conjunction and disjunction. Then find it's truth value.

p: perpendicular lines intersect at a right angle

q: a bisector divides an angle into two congruent angles

r: Supplementary angles always form a linear pair

$p\wedge\sim q$ (a)

$\sim p\vee\sim r$ (b)

$q\vee r$ (c)

Choose from the below words

False

True

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.

Invalid

Valid

Sammy is a Great Dane

Sammy is really a cat.

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

You live in Disney Land

You are an old person.

You live in Florida

You live in Orlando

10.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Then it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

11.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

You are at least 25 years old

You can rent a car

You can go on a road trip

Invalid

12.

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

I study for 1 hour each day.

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

not possible

13.

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

You have more energy

If you exercise regularly, then you have more energy

You have a healthy body

If you do not have a healthy body, then you do not exercise regularly

14.

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.

Law of Detachment

Law of Syllogism

Law of Contrapositive

None

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Unit 2 Logic Quiz Review

Total questions: 14

Worksheet time: 30mins

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