Free Printable SIMPLE AND COMPOUND PROPOSITION

1.

Find the negation of p: 3 is an odd number.

a)

¬p: 3 is not an odd number

b)

¬p: 3 is not an even number

c)

¬p: 2 is not an odd number

d)

¬p: 3 is an even number

2.

Find the negation of p: z is greater than 100

a)

¬p: z is at most 100

b)

¬p: z is less than 100

c)

¬p: z is not less than 100

3.

Express the compound statement in words:

p ∧¬q

a)

China is in Africa or Rwanda is not in Asia.

b)

China is not in Africa or Rwanda is in Asia.

c)

China is in Africa and Rwanda is not in Asia.

d)

China is not in Africa and Rwanda is not in Asia.

4.

Which of the statements cannot possibly be true?

a)

p∧q

b)

¬p∧q

c)

p∧¬q

d)

¬p∧¬q

e)

¬(p∧q)

5.

Classify compound proposition.

a)

exclusive disjunction

b)

inclusive disjunction

c)

Conjunction

6.

p: all dogs bark

q: all flowers are yellow

Translate to symbolic notation:

It is not the case that all dogs bark and all flowers are yellow.

a)

¬(p∧q)

b)

¬p∧¬q

c)

¬p∧q

d)

¬p∨¬q

7.

What is the symbolic notation for the compound proposition?

a)

p∧q

b)

p∨q

c)

p⊻q

d)

¬p∨¬q

8.

Convert from symbolic notation to words:

p ∨ ¬q

a)

Either Matthew arrives home before 6:00 or Anna does not cook dinner.

b)

Either Matthew arrives home before 6:00 or Anna does not cook dinner, but not both.

c)

Either Matthew arrives home before 6:00 or Matthew washes the dishes.

d)

If Matthew arrives home before 6:00, then Anna does not cook dinner.

9.

True or False:

a v b

a)

True

b)

False

10.

True or False:

a ⊻ b

a)

True

b)

False

11.

True or False:

p ⊻ r

a)

True

b)

False

c)

Cannot be determined

12.

Write the following in words:

¬p⊻q

a)

Either x is not an even number or x is divisible by 3, but not both.

b)

x is not an even number or x is divisible by 3.

c)

Neither x is an even number nor x is divisible by 3.

d)

x is not an even number and x is divisible by 3.

13.

It is a proposition formed by combining two or more simple categorical proposition.

a)

Compound proposition

b)

Simple proposition

c)

Fallacy

d)

Tautology

14.

Which statement below is considered a simple proposition?

a)

Welcome to the Koronadal City!

b)

Find a number which divides your age.

c)

95 is the highest grade in Gen. Math.

d)

What is the domain of the function?

15.

Which group of statements are all propositions?

a)

1. I did not get a bonus.

2. Elephants can fly 3. x is greater than or equal to -2

b)

1. This sentence is false. 2. x + y = z.

3. 0 + 0 = 2.

c)

1. Manila is capital of Philippines 2. Just do it ! 3.This sentence is false.

d)

1. “1 + 2” 2. What time is it?3. x + y = z.

16.

What kind of proposition this statement? "If I get promoted, then I will stop posting selfies on Facebook."

(a)

17.

Which of the following is transformed in Negation propositions?

a)

p: She was enrolled in this class.

b)

q: She did not pass the test.

c)

r: She left the room early.

d)

s: 8 > 5

18.

Given the three propositions : p : She was enrolled in this class. q: She passed the test. r: She left the room early. What is the sentence of this symbol (∼ 𝑝) ↔ (~𝑞)

a)

she was not enrolled in this class if and only if she did not pass the test.

b)

if she was enrolled in this class then, she did not pass the test.

c)

she was not enrolled in this class if and only if She left the room early

d)

If and only if she enrolled in this class then, she pass the test.

19.

Given these three propositions : p : She was enrolled in this class. q: She passed the test. r: She left the room early. Express this proposition in symbol " she was enrolled in the class and passed the test, but did not left the room early.’

a)

q ∧ r (~p)

b)

r ∧ q (~r)

c)

p ∧ q (~r)

d)

p ∧ q (r)

20.

Which of the following set of symbols are all logical connectors ?

a)

$<,\ \rightarrow,\ \approx,\ =$

b)

$\sim,\rightarrow,\ \leftrightarrow,\ \vee,\wedge$

c)

$\cong,\ >,\ \uparrow,\ \longleftrightarrow$

21.

Given the Conditional proposition p and q: "If you submit all your Module's performance task then, you will be rewarded with a satisfying grade." Express in symbol

a)

p $\wedge$ q

b)

p $\vee$ q

c)

p $\leftrightarrow$ q

d)

p $\rightarrow$ q

22.

The connector ˄ is read as (a) .

23.

.Given: p: Maria is a dancer. q: Maria is a singer. Which English sentence describes “p V q”?

a)

Maria is a singer but not a dancer

b)

Maria is a dancer and a singer.

c)

Maria is not a dancer and a singer.

d)

Maria is a dancer or a singer.

24.

Which statement below is considered a compound proposition?

a)

He is tall, dark and handsome.

b)

Do you want to sing and dance?

c)

Parallel lines intersect.

d)

a. Tomato is a fruit.

25.

Which statement is the negation of “ All items are for sale.”?

a)

Some items are for sale.

b)

Not all items are for sale.

c)

Every items are for sale.

d)

Selected items are not for sale.

26.

A proposition is a (a) sentence that is either true or false, but not both.

27.

Compound preposition "Either logic is fun or boring." what are the connectors?

a)

Either, or

b)

logic ,and

c)

or, boring

d)

or, and

28.

Let p be “Marc is happy” and let q be “Marcis in love.” Transform this symbol in a sentence ~p $\rightarrow$ q

a)

Marc is not in love but he is happy

b)

If Marc is not happy, then he is in love

c)

It is not the case that Marc is not happy.

d)

Marc is happy or in love.

29.

~q is read as (a)

30.

Base on this Conjuction Truth Table, p $\wedge$ p can be false if :

a)

p and q are both false

b)

p is false and q is true

c)

p is true and q is false

d)

all of these

31.

In Conditional Truth Table p $\rightarrow$ q becomes False if

a)

both p and q are true

b)

both p and q are false

c)

p is true and q is false

d)

none of these

32.

A (a) is a proposition formed from simpler proposition using logical connectors or some combination of logical connectors.

33.

Which describes a compound proposition?

a)

It is made up of simple propositions joined by logical connector/s.

b)

It is neither true nor false.

c)

It is an imperative sentence.

d)

It is a proposition that requires the use of prepositions to form logic.

34.

Which of the following is not a logical connector?

a)

and

b)

would

c)

if-then

d)

but

35.

Choose the only SIMPLE proposition among the options.

a)

The coconut tree is known as the "Tree of life".

b)

Conserve our coconut trees.

c)

Have you climbed a tree?

d)

Climb!

36.

Choose the only SIMPLE proposition among the options.

a)

Let me ask you for assistance.

b)

Is that a dog or a cat?

c)

It is so blurred!

d)

The normal vision of a person is 20/20.

37.

Choose the only SIMPLE proposition among the options.

a)

Has anybody seen the throne of God?

b)

Are there 60 seconds in a minute?

c)

Light travels 186,000 miles per second.

d)

Though God may be physically far from us, He is near when His obedient servant prays.

38.

Choose the only SIMPLE proposition among the options.

a)

the heart pumps blood throughout the body and it keeps us alive.

b)

It is wise to thank God for being alive.

c)

Does it break your heart?

d)

Take courage and have a happy heart

39.

Choose the only SIMPLE proposition among the options.

a)

The brain needs oxygen.

b)

Have you thanked God for the air we breathe

c)

Be grateful for the priceless air we take in.

d)

Don't pollute the air.

40.

Choose the only COMPOUND proposition among the options.

a)

Busy consumers tend to shop online.

b)

You deserve a good break!

c)

Are you sure?

d)

If one is accountable for own decisions, then one should decide wisely.

41.

Choose the only COMPOUND proposition among the options.

a)

Time is an independent variable and distance is a dependent one.

b)

The clock keeps on ticking while a couch potato enjoys slackness.

c)

Man can outlive time.

d)

Time is up!

42.

Choose the only COMPOUND proposition among the options.

a)

Good job, students!

b)

If a learner studies well, then opportunities knock later.

c)

Are you a working student?

d)

Be proud of your hard work.

43.

Given the simple propositions a: A person prioritizes own spiritual growth and b: One satisfies own desires. What compound proposition can be made?

a)

A person does not prioritize his own spiritual growth.

b)

One does not satisfy own desires

c)

If a person prioritizes own spiritual growth, then one satisfies own desires.

d)

A person prioritizes own spiritual growth or one satisfies own desires

44.

What logical connector best fits in merging the simple propositions r: Money is the root of all evil and s: Spending for the needy is wise

a)

and

b)

or

c)

if-then

d)

not

45.

Two simple propositions that are joined by a connectivity ‘if then’.

a)

Conjunction

b)

Disjunction

c)

Conditional

d)

Biconditiona

e)

Negation

46.

Two simple propositions p and q are connected by the word ‘or’

a)

Conjunction

b)

Disjunction

c)

Negation

d)

Conditional

e)

Biconditional

47.

If two proposition p and q are connected by the connective ‘if and only if” then the resulting compound is called a____.

a)

Conditional

b)

Biconditional

c)

Negation

d)

Conjunction

e)

Disjunction

48.

Zoe Yvonne is a STEM student if and only if she likes Science.

a)

Conditional

b)

Biconditional

c)

Negation

d)

Conjunction

e)

Disjunction

49.

If Jonathan is in Grade 11, then he is a Senior High School student.

a)

Conditional

b)

Biconditional

c)

Negation

d)

Conjunction

e)

Disjunction

50.

Form the disjunction of the following simple propositions:

p: Joyce will pass all her subjects.

q: She will be retained

a)

If Joyce will pass all her subjects, then she will be retained.

b)

If Joyce will pass all her subjects if and only if she will be retained.

c)

It is either Joy will pass all her subjects or she will be retained.

d)

Joy will pass all her subjects and be retained

e)

Joy will not pass all her subjects.

51.

It contains two or more simple propositions that are put together using connective words.

a)

Simple Proposition

b)

Compound Proposition

c)

Conditional Proposition

d)

Biconditional Proposition

e)

Conjunction

52.

It contains two or more simple propositions that are put together using connective words.

a)

Simple Proposition

b)

Compound Proposition

c)

Conditional Proposition

d)

Biconditional Proposition

e)

Conjunction

53.

9. Which of the following symbols is used for conjunction proposition?

a)

^

b)

v

c)

~

d)

54.

Write the negation of the statement:

p: School year 2021 – 2022 will start on August 25.

a)

It is either the school year 2021-2022 will start on August 25 or not.

b)

School year 2021-2022 will not start on August 25, 2021

c)

School year 2021- 2022 will start on August 25.

d)

None of the above

55.

Determine whether the statement below is proposition or not.

h: Is Jupiter the fifth planet from the sun?

a)

proposition

b)

not proposition

56.

Determine whether the statement below is proposition or not.

k: Please follow the rules and regulation of the Laboratory to avoid accidents.

a)

proposition

b)

not proposition

57.

Determine whether the statement below is proposition or not.

p: x + 2 = 11

a)

proposition

b)

not proposition

58.

Determine whether the statement below is proposition or not.

m: Hydrogen is a chemical element with symbol H.

a)

proposition

b)

not proposition

59.

Determine whether the statement below is proposition or not.

x: Whole note plays two beats.

a)

proposition

b)

not proposition

60.

Classify each proposition as simple or compound.

t: Uranus is the Sky God and the father of the titans.

a)

simple proposition

b)

compound proposition

61.

Classify each proposition as simple or compound.

r: Triangle is a polygon with 3 sides.

a)

simple proposition

b)

compound proposition

62.

Classify each proposition as simple or compound.

h: If a sentence is a declarative, then it is a proposition.

a)

simple proposition

b)

compound proposition

63.

Classify each proposition as simple or compound.

q: Either Dolphins are mammal or amphibian.

a)

simple proposition

b)

compound proposition

64.

Classify each proposition as simple or compound.

k: Skin is the largest part of the body.

a)

simple proposition

b)

compound proposition

65.

It is a declarative sentence which is true or false but not both.

a)

argument

b)

fdallacy

c)

proposition

d)

tautology

66.

It is a proposition which is composed of simple statements that can be decided whether true or false.

a)

argument

b)

fallacy

c)

logical equivalence

d)

simple proposition

67.

It is a proposition which is composed of sub-statements and various logical connectives.

a)

compound proposition

b)

proposition

c)

simple proposition

d)

truth value

68.

Which of the following is a compound proposition?

a)

Jordan is tall.

b)

It is raining.

c)

Who are handsome?

d)

It is raining, and I am wet.

69.

Roses are red and violets are blue.

The given proposition is a __________.

a)

simple proposition

b)

compound proposition

c)

conjunction

d)

truth value

70.

Which of the following illustrates simple proposition?

a)

It is raining, and the sun is shining.

b)

It is raining, but the sun is shining.

c)

It is raining, then the sun is shining.

d)

It is raining.

71.

Which of the following can be the symbol for the proposition “Roses are red and violets are blue?”

a)

$p\rightarrow q$

b)

$p\leftrightarrow q$

c)

$p\wedge q$

d)

$p\vee q$

72.

Marc studied French at the university or lived in France.

Which of the following can be the symbol of the proposition?

a)

$p\rightarrow q$

b)

$p\leftrightarrow q$

c)

$p\wedge q$

d)

$p\vee q$

73.

$p$ : Mario is studying Statistics.
$q$ : Mario is studying Algebra.

Which of the following will be the correct propositional statement of $p∨q$ ?

a)

Mario is studying Statistics.

b)

Mario is studying Algebra.

c)

Mario is studying Statistics and Algebra.

d)

Mario is studying Statistics or Algebra.

74.

$p$ : It is cold.
$q$ : It is raining.

Which of the following will be the correct propositional statement of $p∧q$ ?

a)

It is not cold.

b)

It is cold and raining.

c)

It is raining and it is not cold.

d)

It is not true that it is not raining.

SIMPLE AND COMPOUND PROPOSITION

Total questions: 74

Worksheet time: 42mins

Similar Resources on Wayground