WorksheetsMathematics Form 4 - Logical reasoning 3.1
Total questions: 25
Worksheet time: 16mins
Let's play in the field
statement
not a statement
all triangles have equal sides
true
false
some polygons have five sides
true
false
All circles can be divided equally into eight sectors
true
false
Form a negation for "819 is a multiple of 9" and state the truth value
(a)
How to combine the two statements
use the word 'no' or 'not'
use the word 'and' or 'or'
use 'has' and 'have'
Determine the truth value of "49 is a multiple of 7 and a perfect square"
true
false
3 hours = 120 minutes and 4 minutes = 240 seconds
true
false
4/5 or 5/4 is a proper fraction
True
False
6 or 8 is and odd number
true
false
Is a statement "if p, then q" is known as an implication?
Yes
No
If k is divisible by 5, then k is a multiple of 5. "k is divisible by 5" is denoted as?
antecedent
consequent
negation
implication
If x is a factor of 16 , then x is a factor of 64. "x is a factor of 64" is denoted as
antecedent
consequent
negation
implication
Write two implications for "PQR is a regular polygon if and only if PQ= QR=PR"
(a)
If k is divisible by 5, then k is a multiple of 5. "k is divisible by 5" is denoted as?
antecedent
consequent
negation
implication
write the converse of " If x+3 > 2, then x > -1"
(a)
write the inverse of " If ABCD is a parallelogram, then AB is parallel to CD"
(a)
Write the contrapositive of "If x is a positive number, then x is greater than 0"
(a)
If 4 is a root of x2−16=0 , then 4 is not a root of (x+4)(x−4)=0
true
false
If 55 + 55 = 4 x 5, then 666 + 666 = 6 x 6
true
false
If 8 -2 x 3 = 18, then 2 x 3 = 6
true
false
If 2 and 5 are factors of 10, then 2 x 5 is 10
true
false
Determine the truth value of : If w < 7, then w < 5. If it is false, give one counter example to support your answer
(a)
Determine the truth value of " 5 or 9 have two factors". If it is false, give one counter example to support your answer.
(a)
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)
