What is the converse to this statement?

If it is night, then it is dark outside

If it isn't dark outside, then it is not night.

If it is not night, then it is not dark outside.

What is the inverse to this statement?

If you don't live in Montreal, then you don't live in Canada.

If you live in Canada, you live in Montreal

If you don't live in Canada, you don't live in Montreal.

What is the conclusion to this?

Clarkson will not be the coolest

Clarkson will not give us Mountain Dew

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the converse of this statement?

If a polygon is a trapezoid, then it is a quadrilateral.

If a polygon is not a quadrilateral, then it is not a trapezoid.

If a polygon is not a trapezoid, then it is not a quadrilateral.

A rectangle is also a quadrilateral.

Write the conditional statements as a biconditional statement: 1) If B is between A and C, then AB+BC=AC. 2) If AB+BC=AC, then B is between A and C.

B is between A and C if and only if AB+BC=AC.

B is between A and C when AB+BC=AC if and only if Segment Addition Postulate.

Determine the biconditional statement for the following: If an angle measures 90 ° \degree ° , then it is a right angle. If an angle is a right angle, then it measures 90 ° \degree ° .

An angle is a right angle if and only if it measures 90 ° \degree ° .

When an angle measures 90 ° \degree ° , then it is a right angle.

An angle cannot be a right angle unless it measures 90 ° \degree ° .

A biconditional statement..

uses the phrase "if and only if"

is the first part of a statement

is the second part of a statement

Logic

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSS.CP.A.3, 3.OA.D.9, HSS.CP.A.1

+6

Standards-aligned

Kristy Salvador

Used 21+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

It is not Friday

It is Friday

I will not get paid

I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Using deductive reasoning, 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, then...

Look out for the snowplows while driving to school.

The big test will not be given today.

The roads will be hard to drive on.

You should call the school to see if school is canceled.

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

If the neighbors complain, then the stereo will be loud.

If the stereo is on, then the neighbors will complain.

If the stereo is volume is loud, then the stereo is on.

If the stereo is on, then the volume is loud.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

even

odd

zero

positive

Tags

CCSS.3.OA.D.9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the next term in the sequence:
A, D, G, J, _____

L

M

P

K

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the missing numbers in this pattern?
23, 33, _, 53, _, 73

32, 62

42, 63

43, 63

42, 62

Tags

CCSS.2.NBT.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the rule for this pattern?
32,36,40,44

add 4

multiply 2

subtract 4

divide by 2

Tags

CCSS.3.OA.D.9

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Logic

20 questions

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

Using deductive reasoning, 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, then...

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

Find the next term in the sequence:
A, D, G, J, _____

What are the missing numbers in this pattern?
23, 33, _, 53, _, 73

What is the rule for this pattern?
32,36,40,44

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

What is the hypothesis of the given Conditional Statement?

What is the converse to this statement?

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Popular Resources on Wayground

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Logic

20 questions

Using the statements:If it is Friday, then I will get paid.It is Friday.What is the conclusion?

Using deductive reasoning, 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, then...

What conclusion can be drawn from the following statements?If the stereo is on, then the volume is loud. If the volume of the stereo is loud, then the neighbors will complain.

Complete the conjecture. Think of examples to help.The product of any two odd numbers is _____________

Find the next term in the sequence:A, D, G, J, _____

What are the missing numbers in this pattern?23, 33, ___, 53, ___, 73

What is the rule for this pattern?32,36,40,44

Which number is a counterexample to the following statement? : All numbers that are divisible by 2 are divisible by 4

What is the hypothesis of the given Conditional Statement?

What is the converse to this statement?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

Using deductive reasoning, 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, then...

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

Find the next term in the sequence:
A, D, G, J, _____

What are the missing numbers in this pattern?
23, 33, _, 53, _, 73

What is the rule for this pattern?
32,36,40,44

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4