Free Printable Logic Statements

1.

What symbol represents a conjunction?

a)

$\vee$

b)

$\wedge$

c)

$\perp$

d)

$\sim$

2.

What symbol represents a disjunction?

a)

$\vee$

b)

$\wedge$

c)

$\perp$

d)

$\cong$

3.

Two statements connected by the word "and" is

a)

A disjunction

b)

A conjunction

4.

A conjunction is true only if

a)

Both statements are false

b)

Both statements are true

c)

One statement is true

d)

One statement is false

5.

A disjunction is true if

a)

Both statements are false

b)

Only one statement is true

c)

At least one statement is true

6.

Negate the statement:

"I love Geometry"

a)

Geometry I love

b)

If I love Geometry, then I do not love Geometry

c)

If and only if I love Geometry

d)

I do not love Geometry

7.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

8.

Determine the truth values of the following compound statements.

$7$ is a factor of $21$ and $84$

a)

True

b)

False

9.

Determine the truth values of the following compound statements.

February or October has $30$ days.

a)

True

b)

False

10.

Determine the truth values of the following compound statements.

$15+7<27$ and $2×8=28$

a)

True

b)

False

11.

Determine the truth values of the following compound statements.

$27$ is a multiple of $7$ or $\left(-2\right)^2<0$

a)

True

b)

False

12.

Determine the truth values of the following compound statements.

$49$ is a perfect square or a prime number

a)

True

b)

False

13.

Determine the truth values of the following compound statements.

$2$ minutes = $120$ seconds and $2$ hours = $12$ minutes

a)

True

b)

False

14.

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.

a)

p→q

b)

p↔q

c)

p Λ q

d)

p v q

15.

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.

a)

$r\longrightarrow\sim p$

b)

$r\vee\sim p$

c)

$r\wedge\sim p$

d)

$r\longleftrightarrow\sim p$

16.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

17.

What is the symbol for NOT (negation)?

a)

∕

b)

∨

c)

~

d)

∧

18.

What are the next 2 numbers of this pattern?
23, 27, 31, 35, ___, ___

a)

37, 39

b)

40, 45

c)

39, 43

d)

38, 41

Logic Statements

Total questions: 18

Worksheet time: 12mins

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