Which of the following statements are Conditional Statements

If an angle is a straight angle, then it measures 180°

If you play basketball, then you know how to dribble.

I am not sure if that is an acute angle

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.

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 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.

If the school cafeteria sells pizza today, Greg is going to eat four pieces. Pizza is on sale for school lunch today. Using deductive reasoning, what statement can you make based on this information?

Greg will eat four pieces of pizza.

The school cafeteria sells pizza.

What is the contrapositive ( $$\sim q\rightarrow\sim p$$ ) of the statement: If it rains, then the ground is wet.

If the ground is not wet, then it does not rain.

If it does not rain, then the ground is not wet.

If the ground is wet, then it rains.

If it rains, then the ground is not wet.

What is the converse ( $$q\rightarrow p$$ ) of the statement: If you study, then you will pass the exam.

If you pass the exam, then you studied.

If you do not study, then you will not pass the exam.

If you do not pass the exam, then you did not study.

If you study, then you will not pass the exam.

What is the inverse ( $$\sim p\rightarrow\sim q$$ ) of the statement: If the sun is shining, then it is daytime.

If the sun is not shining, then it is not daytime.

If it is daytime, then the sun is shining.

If it is not daytime, then the sun is not shining.

If the sun is shining, then it is not daytime.

Conditional Statements Quiz

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Math

Algebra

Conditional Statements

Authored by LADAVIEA SHEARS

Mathematics

12th Grade

CCSS covered

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35 questions

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MATCH QUESTION

15 mins • 2 pts

Match the following

Converse

$q\rightarrow p$

Original Conditional

$\sim p\rightarrow\sim q$

Contrapositive

$p\rightarrow q$

Inverse

$\sim q\rightarrow\sim p$

If it is Valentine's Day, then the month is February.
What is the hypothesis (p) of this statement?

it is not Valentine's Day

it is Valentine's Day

the month is not February

the month is February

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

What is the Inverse ( $\sim p\rightarrow\sim q$ ) of the statement:
If I go to the cafeteria, then I get lunch.

If I get lunch, then I go to the cafeteria.

If I do not get lunch, then I do not go to the cafeteria.

If I do not go to the cafeteria, then I do not get lunch.

If I do not get lunch, then I do not go to the cafeteria.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

What is the converse ( $q\rightarrow p$ ) of the statement:
If you are 13, then you are a teenager.

If you are not 13, then you are a teenager.

If you are 13, then you are not a teenager.

If you are a teenager, then you are 13.

If you are not a teenager, then you are not 13.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

What is the conclusion (q) of the statement:
If two angles are congruent, then they have the same degree.

they have the same degree.

two angles are congruent

two angles are not congruent

they do not have the same degree.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:
If you play the guitar, then you are a musician.

If you are a musician, then you play the guitar.

If you are not a musician, then you do not play the guitar.

If you do not play the guitar, then you are not a musician.

If you play the guitar, then you are a musician.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

What is the inverse ( $\sim p\rightarrow\sim q$ ) of the statement:
If you play the guitar, then you are a musician.

If you are a musician, then you play the guitar.

If you are not a musician, then you do not play the guitar.

If you do not play the guitar, then you are not a musician.

If you play the guitar, then you are a musician.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:
If you are 13, then you are a teenager.

If you are not 13, then you are a teenager.

If you are 13, then you are not a teenager.

If you are a teenager, then you are 13.

If you are not a teenager, then you are not 13.

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Conditional Statements

Match the following

If it is Valentine's Day, then the month is February.
What is the hypothesis (p) of this statement?

What is the Inverse ( $\sim p\rightarrow\sim q$ ) of the statement:
If I go to the cafeteria, then I get lunch.

What is the converse ( $q\rightarrow p$ ) of the statement:
If you are 13, then you are a teenager.

What is the conclusion (q) of the statement:
If two angles are congruent, then they have the same degree.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:
If you play the guitar, then you are a musician.

What is the inverse ( $\sim p\rightarrow\sim q$ ) of the statement:
If you play the guitar, then you are a musician.

What is the negation of the hypothesis (~p) of the statement:
If two angles are congruent, then they have the same degree.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:
If you are 13, then you are a teenager.

What is the negation of the conclusion (~q) of this statement?
If it is Valentine's Day, then the month is February.

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Conditional Statements

Match the following

If it is Valentine's Day, then the month is February. What is the hypothesis (p) of this statement?

What is the Inverse ( ∼p→∼q\sim p\rightarrow\sim q∼p→∼q ) of the statement: If I go to the cafeteria, then I get lunch.

What is the converse ( q→pq\rightarrow pq→p ) of the statement: If you are 13, then you are a teenager.

What is the conclusion (q) of the statement:If two angles are congruent, then they have the same degree.

What is the contrapositive ( ∼q→∼p\sim q\rightarrow\sim p∼q→∼p ) of the statement: If you play the guitar, then you are a musician.

What is the inverse ( ∼p→∼q\sim p\rightarrow\sim q∼p→∼q ) of the statement: If you play the guitar, then you are a musician.

What is the negation of the hypothesis (~p) of the statement:If two angles are congruent, then they have the same degree.

What is the contrapositive ( ∼q→∼p\sim q\rightarrow\sim p∼q→∼p ) of the statement: If you are 13, then you are a teenager.

What is the negation of the conclusion (~q) of this statement?If it is Valentine's Day, then the month is February.

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Discover more resources for Mathematics

If it is Valentine's Day, then the month is February.
What is the hypothesis (p) of this statement?

What is the Inverse ( $\sim p\rightarrow\sim q$ ) of the statement:
If I go to the cafeteria, then I get lunch.

What is the converse ( $q\rightarrow p$ ) of the statement:
If you are 13, then you are a teenager.

What is the conclusion (q) of the statement:
If two angles are congruent, then they have the same degree.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:
If you play the guitar, then you are a musician.

What is the inverse ( $\sim p\rightarrow\sim q$ ) of the statement:
If you play the guitar, then you are a musician.

What is the negation of the hypothesis (~p) of the statement:
If two angles are congruent, then they have the same degree.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:
If you are 13, then you are a teenager.

What is the negation of the conclusion (~q) of this statement?
If it is Valentine's Day, then the month is February.