Free Printable logical reasoning

1.

Which is the converse of:
"If a figure is a circle with radius r, then its circumference in 2(pi)r."

a)

If a figure has a circumference of 2(pi)r, then its a circle with radius r.

b)

If a figure doesn't have a circumference, then it's a circle with a radius of r.

c)

If a figure isn't a circle with radius r, then its circumference isn't 2(pi)r

d)

If a figure isn't a circle, then it doesn't have a circumference.

2.

Contrapositive of:
If an integer ends with 0, then it's divisible by 2.

a)

If an integer ends with 2 then it's divisible by 0.

b)

If an integer doesn't end in 0, then it's not divisible by 2.

c)

If an integer isn't divisible by 2, then it's doesn't end in 0.

d)

If an integer is divisible by 2, then it ends with 0.

3.

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

4.

_________ factors of are factors of 6

a)

All

b)

Some

5.

which one is a statement

a)

square have 4 side

b)

circle have 3 side

c)

triangle dont have any side

6.

state whether the following statement is true or false.

All polygons have five sides.

a)

True

b)

False

7.

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

8.

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

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

a)

All

b)

Some

9.

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

10.

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.

11.

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.

12.

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.

13.

25 > 43

a)

statement / Pernyataan

b)

non-statement / Bukan Pernyataan

14.

$"\left\{2,5,7\right\}\cup\left\{prime\ numbers\right\}=\left\{2,5,7\right\}$ Determine whether the statement is true or false.

a)

True

b)

False

15.

Determine whether the sentence below is a statement or not a statement.

"x+3=5"

a)

Yes

b)

No

16.

_________ circles has a radius of 18cm.

a)

All

b)

Some

17.

Determine the antecedent and consequent of the statement:
"If the perimeter of a rectangle A is 2(x+y), then the area of rectangle is xy."

a)

Antecedent: The area of rectangle A is xy
Consequent: Perimeter of rectangle A is 2(x+y)

b)

Antecedent: The area of rectangle A is xy
Consequent: Perimeter of rectangle A is 2x+y

c)

Antecedent: Perimeter of rectangle A is 2x+y
Consequent: The area of rectangle A is xy

d)

Antecedent: Perimeter of rectangle A is 2(x+y)
Consequent: The area of rectangle A is xy

18.

Write an appropriate implication based on the following pairs of implications:

a) If x is a multiple of 10, then x is a multiple of 5.

b) if x is a multiple of 5, then x is a multiple of 10.

(a)

19.

$"20\%\ of\ 30\ is\ 6\ if\ and\ only\ if\ 0.2\times30=6."$ Construct two appropriate implications based on the implication.

a)

$p:\ 20\%\ of\ 30\ is\ 6$ $q:\ 0.2\times30=6$

b)

$p:\ 0.2\times\times30=6$ $q:\ 20\%\ of\ 30\ is\ 6$

c)

$\left(a\right)\ If\ 20\%\ of\ 30\ is\ 6,\ then\ 0.2\times30=6$ $\left(b\right)\ If\ 0.2\times30=6,\ then\ 20\%\ of\ 30\ is\ 6$

d)

$\left(a\right)\ If\ 0.2\times30=6,\ then\ 20\%\ of\ 30\ is\ 6$ $\left(b\right)\ If\ 20\%\ of\ 30\ is\ 6,\ then\ 0.2\times30=6$

20.

$"If\ w>20,\ then\ w>30."$

Find the contrapositive for the statement and decide if it is a true or false statement.

a)

$if\ w\le20,\ then\ w\le30.$ True.

b)

$if\ w>30,\ then\ w>20.$ False.

c)

$if\ w\ge20,\ then\ w\ge30.$ True.

d)

$if\ w\le30,\ then\ w\le20.$ False.

logical reasoning

Total questions: 20

Worksheet time: 20mins

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