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WorksheetsChapter 3 Logical Reasoning
Total questions: 12
Worksheet time: 19mins
Which is the converse of:
"If a figure is a circle with radius r, then its circumference is
If a figure has a circumference of 2πr , then it's a circle with radius r.
If a figure doesn't have a circumference, then it's a circle with a radius of r.
If a figure isn't a circle with radius r, then its circumference isn't 2πr .
If a figure isn't a circle, then it doesn't have a circumference.
If an integer ends with 0, then it's divisible by 2.
Which conclusion can you make?
Premise 1: If a whole number ends in 0, then it is divisible by 10.
Premise 2. 15 is not divisible by 10.
15 ends in 0.
15 doesn't end in 0.
The whole number doesn't end in 0.
No conclusion can be made.
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
Determine which one is a statement.
3m x 2m = 6m
A prime number has 2 factors.
χ + γ
Express 2300 in standard form.
χ + 2 = 3
Premise 1 : All rhombuses are parallelograms.
Premise 2 : __________________________________
Conclusion : A square is a parallelogram.
A square not rhombus
A square is a rhombus
parallelograms is a square
Parallelogram is not a square
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.
P ⋃ Q = Q
P ∩ Q = P
P ∩ Q ≠ P
P ⋃ Q ≠ P
choose two implications based on the following statement.
y > 3 if and only if 2y > 6
If y > 3, then 2y > 6
If y < 6 , then 2y > 6
If 2y > 6, then y > 3
If 2y > 6, then y < 6
Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the converse of this statement?
If a polygon is not a quadrilateral, then it is not a trapezoid.
If a polygon is not a trapezoid, then it is not a quadrilateral.
If a polygon is a trapezoid, then it is a quadrilateral.
A rectangle is also a quadrilateral.
Determine whether the following inductive argument is strong or weak.
Premise 1: Ahmad has black hair.
Premise 2: Siew Sian has black hair.
Premise 3: Chandran has black hair.
Premise 4: Henry has black hair.
Conclusion : All Malaysia citizen have black hair.
Strong and not cogent.
Weak
Strong and cogent
Weak and cogent.
Premise 1: All prime numbers are odd numbers are odd number.
Premise 2: 3 is a prime number.
Conclusion: 3 is an odd number.
valid and sound
not valid and sound
not valid and not sound
valid and not sound
The number pattern 4, 7, 10, 13, ... can be concluded generally by
4+3n, n=0,1,2,3,4, ...
4(1+3n), n=0, 1, 2, 3, 4, ...
2n+2, n=1, 2, 3, 4, ...
4n−3, n=0, 1, 2, 3, ...
