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GEN. MATH SUMMATIVE TEST

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.

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

a)

Compound proposition

b)

Simple proposition

c)

Fallacy

d)

Tautology

2.

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?

3.

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.

4.

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

(a)  

5.

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

6.

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.

7.

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)

8.

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

a)

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

b)

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

c)

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

9.

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

10.

The connector ˄ is read as (a)   .

11.

.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.

12.

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.

13.

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.

14.

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

15.

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

a)

Either, or

b)

logic ,and

c)

or, boring

d)

or, and

16.

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.

17.

~q is read as (a)  

18.

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

19.

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

20.

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