Free Printable Chapter 3: Logical Reasoning

1.

Which of the following are statements?

a)

$3k\ \times5k\ =15k^2$

b)

$p\ +\ q$

c)

A chicken has 2 legs

d)

Express 2300 in standard form

e)

$r\ +\ s\ =9$

2.

Which statement is false?

a)

Some quadratic function graphs intersect the x-axis.

b)

If Y < 6, then Y > 4

c)

If 4 x 5 = 20, then 10 - 4 x 5 = 30

d)

56 is a multiple of 7

3.

If p and q are both false statements respectively, then

a)

p and q is a true statement

b)

not p or q is a false statement

c)

not p and not q is a true statement

d)

not p and q is a true statement

4.

Complete the premise in the following argument.

Premise 1: $b\ >\ 1.\ then\ \frac{1}{b}\ <0$

Premise 2: _____________________________

Premise 3:

\frac{1}{2.8}<0

a)

$\frac{1}{2.8}>0$

b)

2.8 > 0

c)

2.8 < 0

5.

Complete the statement using the quantifier "all" or "some", to make it a true statement.

________ prime number is an odd number

a)

All

b)

Some

6.

Determine wheater the sentence below is a statement.

All triangles have equal sides.

a)

Yes

b)

No

7.

Which of the following statement is true about the Venn diagram?

a)

$Y'\ \cap\ Z'$

b)

$\left(X\ \cap Y'\right)\cap Z$

c)

$\left(X\cap Y'\right)\cup Z$

8.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of the statement?

a)

A rectangle is also a quadrilateral.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a quadrilateral, then it is a trapezoid.

d)

If the polygon is not a quadrilateral, then it is not a trapezoid.

9.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of the statement?

a)

A rectangle is also quadrilateral.

b)

If a polygon is a trapezoid, then it is a quadrilateral.

c)

If a polygon is not a quadrilateral, then it is not a trapezoid

d)

If a polygon is not a trapezoid, then it is not a quadrilateral.

10.

State whether the following statement is true or false.

All polygons have six sides.

a)

True

b)

False

Chapter 3: Logical Reasoning

Total questions: 10

Worksheet time: 10mins

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