wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Mathematics Form 4 - Logical reasoning 3.1

Total questions: 25

Worksheet time: 16mins

Name
Class
Date
1.

Let's play in the field

a)

statement

b)

not a statement

2.

all triangles have equal sides

a)

true

b)

false

3.

some polygons have five sides

a)

true

b)

false

4.

All circles can be divided equally into eight sectors

a)

true

b)

false

5.

Form a negation for "819 is a multiple of 9" and state the truth value

(a)  

6.

How to combine the two statements

a)

use the word 'no' or 'not'

b)

use the word 'and' or 'or'

c)

use 'has' and 'have'

7.

Determine the truth value of "49 is a multiple of 7 and a perfect square"

a)

true

b)

false

8.

3 hours = 120 minutes and 4 minutes = 240 seconds

a)

true

b)

false

9.

4/5 or 5/4 is a proper fraction

a)

True

b)

False

10.

6 or 8 is and odd number

a)

true

b)

false

11.

Is a statement "if p, then q" is known as an implication?

a)

Yes

b)

No

12.

If k is divisible by 5, then k is a multiple of 5. "k is divisible by 5" is denoted as?

a)

antecedent

b)

consequent

c)

negation

d)

implication

13.

If x is a factor of 16 , then x is a factor of 64. "x is a factor of 64" is denoted as

a)

antecedent

b)

consequent

c)

negation

d)

implication

14.

Write two implications for "PQR is a regular polygon if and only if PQ= QR=PR"

(a)  

15.

If k is divisible by 5, then k is a multiple of 5. "k is divisible by 5" is denoted as?

a)

antecedent

b)

consequent

c)

negation

d)

implication

16.

write the converse of " If x+3 > 2, then x > -1"

(a)  

17.

write the inverse of " If ABCD is a parallelogram, then AB is parallel to CD"

(a)  

18.

Write the contrapositive of "If x is a positive number, then x is greater than 0"

(a)  

19.

If 4 is a root of  x216=0x^2-16=0  , then 4 is not a root of  (x+4)(x4)=0\left(x+4\right)\left(x-4\right)=0  

a)

true

b)

false

20.

If 55 + 55 = 4 x 5, then 666 + 666 = 6 x 6

a)

true

b)

false

21.

If 8 -2 x 3 = 18, then 2 x 3 = 6

a)

true

b)

false

22.

If 2 and 5 are factors of 10, then 2 x 5 is 10

a)

true

b)

false

23.

Determine the truth value of : If w < 7, then w < 5. If it is false, give one counter example to support your answer

(a)  

24.

Determine the truth value of " 5 or 9 have two factors". If it is false, give one counter example to support your answer.

(a)  

25.

Determine the truth value of " 36 is a multiple of 4 and 14". if it is false, give counter example to support your answer

(a)