Free Printable Conditional Statements

Worksheets

Conditional Statements

Total questions: 53

Worksheet time: 49mins

Name

Class

Date

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

If an object is made of gold, then it is a ring.

If an object is not a ring, then it is not made of god.

If an object is not made of gold, then it is not a ring.

There is no converse of the statement.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

If an object can fly, then it is a bird.

If an object is not a bird, then it cannot fly

If an object cannot fly, then it is not a bird

There is no converse of the statement

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

If an object is not a computer, then it does not have a hard drive.

If an object does not have a hard drive, then it is not a computer.

If an object has a hard drive, then it is a computer.

There is no inverse of the statement.

Which of the following is the INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

If an object is not a battery, then it is not

rechargeable.

If an object is rechargeable, then it is not a battery.

If an object is not rechargeable, then it is not a battery.

There is no inverse of the statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

If a species is not human, then it does not walk on two feet.

If a species is human, then it walks on two feet.

If a species does not walk on two feet, then it is not human.

There is no contrapositive of the statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a gem is a ruby, then it is red.

If a gem is not red, then it is not a ruby.

If a gem is not a ruby, then it is not red.

If a gem is red, then it is a ruby.

There is no contrapositive statement.

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

If there is not lightning, then there is not thunder.

If there is thunder, then there is lightning.

There is lightning if and only if (iff) there is thunder.

There is no biconditional statement.

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

If it is not wet, then it is not water.

If it is wet, then it is water.

It is water if and only if (iff) it is wet.

There is no biconditional statement.

10.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

If an angle is acute, then it has a measure less than 90°.

If an angle is not acute, then it does not have a measure less than 90°.

If an angle is acute, then it is acute.

If an angle does not measure less than 90°, then it is not acute.

11.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

An angle is acute if and only if (iff) it has a measure less than 90°.

Biconditional

Converse

Inverse

Contrapositive

12.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

Contrapositive

Converse

Biconditional

Inverse

13.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

Converse

Contrapositive

Biconditional

Inverse

14.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

Inverse

Contrapositive

Biconditional

Converse

15.

What is this?

Conditional Statement

Inverse

Converse

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

16.

What symbol represents a conjunction?

$\vee$

$\wedge$

$\perp$

$\sim$

17.

What symbol represents a disjunction?

$\vee$

$\wedge$

$\perp$

$\cong$

18.

Two statements connected by the word "and" is

A disjunction

A conjunction

19.

A conjunction is true only if

Both statements are false

Both statements are true

One statement is true

One statement is false

20.

A disjunction is true if

Both statements are false

Only one statement is true

At least one statement is true

21.

This symbol, ∨, means?

and

not

implies

22.

Let p and q represent the following simple statements;

p: Frank plays football.

q: Jamir runs track.

r: Edwin plays soccer.

Write each compound statements in symbolic form.

Frank plays football and Jamir runs track.

p→q

p↔q

p Λ q

p v q

23.

Let p and q represent the following simple statements;

p: Frank plays football.

q: Jamir runs track.

r: Edwin plays soccer.

Write each compound statements in symbolic form.

Edwin plays soccer or Frank does not play football.

$r\longrightarrow\sim p$

$r\vee\sim p$

$r\wedge\sim p$

$r\longleftrightarrow\sim p$

24.

What is the symbol for NOT (negation)?

∕

∨

∧

25.

This symbol, ∧, means?

and

not

implies

26.

p: The girl wears a red hat.
q: The boy wears a blue coat.
Which of the following statements is equivalent to

p\wedge q

The girl wears a red hat and the boy wears a blue coat.

The girl wears a red hat or the boy wears a blue coat.

If the girl wears a red hat, then the boy wears a blue coat.

The boy wears a blue coat if and only if the girl wears a red hat.

27.

Given:
p: It will rain on Saturday.
q: We will play in the park.

Write the following statement using logic symbols.
If it does not rain on Saturday, then we will play in the park.

$\sim p\rightarrow q$

$p\rightarrow q$

$\sim p\wedge q$

$\sim q\rightarrow p$

28.

Given:
p: Juan eats apples.
q: Juan drinks juice.

Write the following:

p\vee\sim q

Juan eats apples or Juan does not drink juice.

Juan eats apples and Juan drinks juice.

If Juan eats apples, then Juan does not drink juice.

Juan does not eat apples or drink juice.

29.

p→q
What is the inverse?

q→p

∼p→∼q

∼q→∼p

p→∼q

30.

Given:
p: Juan eats apples.
q: Juan drinks juice.

Write the following:

p\vee\sim q

Juan eats apples or Juan does not drink juice.

Juan eats apples and Juan drinks juice.

If Juan eats apples, then Juan does not drink juice.

Juan does not eat apples or drink juice.

31.

Given:

p: Each student enrolls in a foreign language.

q: All students pass history.

Write the following in logic symbols: Each student enrolls in a foreign language if and only if all students pass history.

$p\leftrightarrow q$

$p\rightarrow q$

$p\wedge q$

$p\vee q$

32.

Given:
p: It snows on Sunday.
q: It rains on Saturday.

Which of the following states:

p\wedge q

It snows on Sunday and it rains on Saturday.

It snows on Sunday or it rains on Saturday.

If it snows on Sunday, then it rains on Saturday.

If it rains on Saturday, then it snows on Sunday.

33.

Given:
p: Emma wears a green dress.
q: Maria wears a pink dress.
r: Vera wears a blue dress.

Which states:

\left(p\wedge r\right)\rightarrow q

If Emma wears a green dress and Vera wears a blue dress, then Maria wears a pink dress.

If Emma wears a green dress then Maria wears a pink dress.

If Emma wears a green dress, then Vera wears a blue dress and Maria wears a pink dress.

Emma wears a green dress and Vera wears a blue dress and Maria wears a pink dress.

34.

Given:

p: Arturo paints.

q: David draws.

r: Marcus sculpts.

Write in logic symbols: If Marcus sculpts, then Arturo paints or David does not draw.

$r\rightarrow\left(p\vee\sim q\right)$

$r\rightarrow\left(p\wedge\sim q\right)$

$p\rightarrow\left(q\vee\sim r\right)$

$r\wedge p\wedge\sim q$

35.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

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

"If angles are not congruent, then the measures of the angles are not equal."

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

36.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

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

If angles are not congruent, then the measures of the angles are not equal.

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

37.

The type of reasoning where a person makes conclusions based on observations and patterns is called...

Inductive reasoning

Deductive reasoning

Conjecture

Experiments

38.

What is a conjecture?

A statement believed to be true based on observations.

An example which disproves an hypothesis.

the performance of tricks that are seemingly magical

39.

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

even

odd

zero

positive

40.

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

41.

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

42.

How many cubes would be in the 10th figure?

43.

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

32, 62

42, 63

43, 63

42, 62

44.

Where would the next red square be?

bottom left

top right

top left

bottom right

45.

46.

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

18,23

18, 24

17, 25

17, 24

47.

What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___

32, 37

30, 37

30, 33

32, 35

48.

What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40

4x+28

4x+32

x+4

49.

Used to prove that a conjecture is false.

Counterexample

Inductive Reasoning

Concluding statement

Conjecture

50.

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

51.

Which is a counterexample of: The difference of two numbers is less than the greater number.

(5) - (2) = 3

(-5) - (4) = -9

(2) - 0 = 2

(3) - (3) = 0

52.

Which examples would support the conjecture that the sum of an even integer and an odd integer will be odd? Check all that apply.

2 + 5 = 7

-3 + 4 = 1

6 + -9 = -3

There are only counterexamples.

53.

According to the graph, which is a reasonable conjecture?

More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.

There were more girls participating in high school lacrosse in Year 5 than in Year 1.

More girls will participate in lacrosse in the United States during Year 8 than in Sweden.

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Conditional Statements

Total questions: 53

Worksheet time: 49mins

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