FORM 4 MATH LOGICAL REASONING 19.11.2020

FORM 4 MATH LOGICAL REASONING

Multiple Choice

Determine which type of argument have the following criteria.
Premise 1: if p, then 1.
Premise 2: Not q is true.
Conclusion: Not p is true.

• Argument Form 1

• Argument Form 2

• Argument Form 3

• Argument Form 4

Multiple Select

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

Multiple Choice

state whether the following statement is true or false.

All polygons have five sides.

• True

• False

Multiple Choice

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

Multiple Choice

Premise 1 : All rhombuses are parallelgrams.

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

Multiple Select

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

Multiple Choice

Which of the following completes the statement to form a valid conclusion? 
If it is snowing heavily, then school will be canceled. 
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore...

• look out for the snowplows while driving to school.
• the big test will not be given today.
• the roads will be hard to drive on.
• you should call the school to see if school is canceled.

Multiple Choice

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.

• The polygon is a rectangle.
• The polygon is a regular quadrilateral.
• The polygon has exactly five congruent angles.
• The polygon has congruent sides.

Multiple Choice

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

• If an integer ends with 2 then it's divisible by 0.
• If an integer doesn't end in 0, then it's not divisible by 2.
• If an integer isn't divisible by 2, then it's doesn't end in 0.
• If an integer is divisible by 2, then it ends with 0.

Multiple Choice

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

• If a figure has a circumference of 2(pi)r, then its 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 2(pi)r
• If a figure isn't a circle, then it doesn't have a circumference.