Free Printable Mathematics (logical reasoning

1.

An argument consists of sets of statements which are called premises and a conclusion is made based on these premises

a)

True

b)

False

2.

What is inductive argument ?

a)

A sentence written in the form 'if p, then q'

b)

Process of making specific conclusion based on general statements

c)

An implication that can produce three implications

d)

Process of makin general conclusion based on specific cases

3.

Determine whether the following argument is deductive or inductive argument

The total interior angles of any polygons with sides is $\left(n-2\right)\times180\degree$ . PQRSTU is a hexagon. The total interior angles of PQRSTU is $\left(6-2\right)\times180\degree=720\degree$

a)

Deductive argument

b)

Inductive argument

4.

The validity of a deductive argument is determined based on its form and the truth of its premises or conclusion.

a)

True

b)

False

5.

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.

a)

The polygon is a rectangle.

b)

The polygon is a regular quadrilateral.

c)

The polygon has exactly five congruent angles.

d)

The polygon has congruent sides.

6.

Determine whether the following deductive argument is valid or not. Hence, determine whether the argument is sound or not.

Premise 1: All negative numbers are less than zero
Premise 2: $a$ is a negative number

Conclusion:

a

is less than zero

a)

valid and sound

b)

valid but not sound

c)

not valid but sound

d)

not valid and not sound

7.

Complete the following valid deductive argument with the correct conclusion

Premise 1: If m is an even number, then m+1 is an odd number

Premise 2: 7+1 is not an odd number

Conclusion:

a)

7 is an even number

b)

7 is not an odd number

c)

7 is not an even number

8.

Based on the information below, form a conclusion deductively for the surface area of a sphere with a radius of 9cm.
' The surface area of a sphere with radius j is $4\pi j^2$ '

a)

The surface area of a sphere with a radius of 9cm is $4\pi j^2=324\pi^2$

b)

The surface area of a sphere with radius j is $4\pi j^2$

c)

The surface area of a sphere is $4\pi\left(9\right)^2=324\pi^2$

d)

The surface area of a sphere with a radius of 9cm is $4\pi\left(9\right)^2=324\pi^2$

9.

Write Premise 2 to complete the following argument

Premise 1: If x is an odd number, then x cannot be divided completely by 2

Premise 2:

Conclusion: 24 is not an odd number

a)

24 can be divided completely by 2

b)

24 can be divided completely by 3

c)

48 can be divided completely by 2

d)

24 can't be divided completely by 2

10.

The strenght of an inductive argument is based on the level of truth of the conclusion with assumption that all premises are true.

a)

True

b)

False

11.

Determine whether the following argument is strong or weak

Premise 1: Abdul's ayes are black in colour

Premise 2: Boon Ping's eyes are black in colour

Premise 3: Chandran's eyes are black in colour

Premise 4: David's eyes are black in colour

Conclusion: All Malaysian's eyes are black in colour

a)

Strong

b)

Weak

12.

Determine whether the given argument is 'strong and cogent', 'strong but not cogent' or ' weak and not cogent'

Premise 1: 16 is a multiple of 8

Premise 2: 24 is a multiple of 8

Premise 3: 30 is a multiple of 8

Conclusion: All multiple 8 are even numbers

a)

strong and cogent

b)

strong but not cogent

c)

weak and not cogent

13.

A strong and cogent inductive argument depends on the true premises only.

a)

True

b)

False

14.

$premise\ 1:\ Mas\ got\ A+\ for\ Mathematic$ $premise\ 2:\ Yazmeen\ got\ A+\ for\ Mathematic$ $premise\ 3:\ Amna\ got\ A+\ for\ Mathematic$ $conclusion:\ All\ students\ in\ 4E\ got\ A+\ for\ Mathematic\$ Determine whether the given argument are strong or weak, and cogent or not cogent.

a)

Strong and cogent

b)

Strong and not cogent

c)

Weak and cogent

d)

Weak and not cogent

15.

Determine whether the argument are inductive or deductive arguments.
"All the students from class 4E perform on Teachers' Day. Wahida is a pupil from class 4E. Then Wahida performs on Teachers' Day."

a)

Inductive argument

b)

Deductive argument

Mathematics (logical reasoning - Arguments)

Total questions: 15

Worksheet time: 17mins

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