Free Printable Compound 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.

$3$ or $13$ is a factor of $63$

a)

True

b)

False

12.

Determine the truth values of the following compound statements.

$1.54$ is a positive number or $2^0=0$

a)

True

b)

False

13.

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

14.

Determine the truth values of the following compound statements.

$49$ is a perfect square or a prime number

a)

True

b)

False

15.

Determine the truth values of the following compound statements.

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

a)

True

b)

False

16.

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

17.

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)

$r\longleftrightarrow\sim p$

18.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

19.

What is the symbol for NOT (negation)?

a)

∕

b)

∨

c)

~

d)

∧

20.

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

21.

What comes next?

a)

The next term will have 16 blocks

b)

The next term will have 15 blocks.

c)

The next term will have 14 blocks.

d)

This is the end of the pattern.

Compound Statements

Total questions: 21

Worksheet time: 11mins

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