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Logical Reasoning

Total questions: 20

Worksheet time: 36mins

Name
Class
Date
1.

Determine which one is a statement.

a)

3m x 2m = 6m

b)

A prime number has 2 factors.

c)

χ + γ

d)

Express 2300 in standard form.

e)

χ + 2 = 3

2.

All integers are positive intigers.

a)

no

b)

not

3.

_________ factors of are factors of 6

a)

All

b)

Some

4.

Premise 1 : All rhombuses are parallelgrams.

Premise 2 : __________________________________

Conclusion : A square is a parallelogram.

a)

A square not rhombus

b)

A square is a rhombus

c)

parallelograms is a square

d)

Parallelogram is not a square

5.

which one is a statement

a)

square have 4 side

b)

circle have 3 side

c)

triangle dont have any side

6.

Complete the premise in the following argument.


Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

a)

P ⋃ Q = Q

b)

P ∩ Q = P

c)

P ∩ Q ≠ P

d)

P ⋃ Q ≠ P

7.

state whether the following statement is true or false.


All polygons have five sides.

a)

True

b)

False

8.

complete the following compound statement by writing the word 'or' or 'and' to form a true statement.


42 = 8 [__] 7 x 0 = 0

a)

Or

b)

And

9.

complete the following statement using the quantifier 'all' or 'some', to make it a true statement.


......... integers are even number.

a)

All

b)

Some

10.

choose two implications based on the following statement.


y > 3 if and only if 2y > 6

a)

If y > 3, then 2y > 6

b)

If y < 6 , then 2y > 6

c)

If 2y > 6, then y > 3

d)

If 2y > 6, then y < 6

11.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

12.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

13.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

14.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

a)

Inductive

b)

Deductive

15.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
16.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
17.
Given:  If I get an A on my test then my mom will buy me a TV.
I got a 94 on my test.
what conclusion can be made.
a)
I am smart.
b)
I got an A on my test.
c)
My mom will buy me a TV.
d)
I must have cheated.
18.

25 > 43

a)

statement / Pernyataan

b)

non-statement / Bukan Pernyataan

19.

x+y=10

a)

statement / Pernyataan

b)

non-statement / Bukan Pernyataan

20.

11 and 15 is a prime number.

11 dan 15 ialah nombor perdana.

a)

True / Benar

b)

False / Palsu