wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Inductive and Deductive Reasoning

Total questions: 18

Worksheet time: 9mins

Name
Class
Date
1.

Select inductive reasoning, deductive reasoning, or neither.

If Mary is older than Bill and Bill is older than Frank, then Mary is older than Frank.

a)

Deductive reasoning

b)

Inductive reasoning

c)

neither

2.

Select inductive reasoning, deductive reasoning, or neither.

The ceiling and wall of a room meet in a line segment

a)

Deductive reasoning

b)

Inductive reasoning

c)

neither

3.

Select inductive reasoning, deductive reasoning, or neither.

If 5 x + 7 = 12, then x = 1.

a)

Deductive reasoning

b)

Inductive reasoning

c)

neither

4.

Select inductive reasoning, deductive reasoning, or neither.

A courtroom spectator merely looks at the defendant and says, "He's guilty, I tell you."

a)

Deductive reasoning

b)

Inductive reasoning

c)

neither

5.

Reaching a conclusion by looking at several examples is called _______.

a)

Deductive reasoning

b)

Inductive reasoning

c)

examination

6.

What conclusion can be based on the given statement?y is a number such that 6 y = 12

a)

y = 1/2

b)

y = 72

c)

y = 2

7.

What conclusion can be based on the given statement?x is a number such that 7 x = 7 y

a)

x = y

b)

x = 1

c)

y = 1

8.

What conclusion can be based on the given statement?q is a whole number between 42.3 and 43.1

a)

q = 42.1

b)

q = 43.4

c)

q = 43.0

9.

pq is false and p is true.

q is _____.

a)

True

b)

False

10.

If p is a true statement and q is false, then p V q is true.

a)

True

b)

False

11.

p^q is true, and p is true.

q is _____.

a)

True

b)

False

12.

You ________ always prove a conclusion by inductive reasoning.

a)

can

b)

cannot

c)

must

d)

should

e)

none of the above

13.

Where p and q are statements, p^q is called the _________ of p and q .

a)

conjunction

b)

contrapositive

c)

disjunction

14.

Where m and n are statements m v n is called the _____ of m and n .

a)

conjunction

b)

contrapositive

c)

disjunction

15.

If pq is true and p is true, then we know q is true.

a)

True

b)

False

16.

Consider this equation: 2 x + 2 = 11 - x

Now consider the equation written as: 3 x + 2 = 11

Which of the following is the correct property of equality that justifies rewriting the equation?

a)

subtraction

b)

addition

c)

division

17.

Which of the following statements is the contrapositive of the given statement?

If dogs have fleas, they scratch all night.

a)

If they don't scratch all night, then dogs don't have fleas.

b)

If they scratch all night, then dogs have fleas.

c)

If dogs don't have fleas, then they don't scratch all night.

18.

Select inductive reasoning, deductive reasoning, or neither.

You watch an ant taste a liquid and die. Several more ants sample the liquid and they die. You conclude the liquid is an ant poison.

a)

Deductive reasoning

b)

Inductive reasoning

c)

neither