This document contains 8 mathematical reasoning questions about topics like shapes, numbers, angles, and patterns. The questions cover forming compound statements, determining the truth value of statements, writing implications, stating converses, making conclusions from premises, completing arguments, and making conclusions using deduction and induction.

1. MATHEMATICAL REASONING
MATHEMATICS FORM 4
‘If people do not believe that mathematics is simple, it is only because they
do not realize how complicated life is. ~John Louis von Neumann’

2. THE QUESTIONS ARE…..

3. QUESTION 1
 Form a compound statement with each of the
statement below using “or”
A) A rhombus has two axes of
symmetry
B) A kite has one axis of symmetry

4. QUESTION 1
 Form a compound statement with each of the
statement below using “and”
A) 4 – 7 = -3
B)

5. QUESTION 2
 Determine whether the compound statement
is true or false. State your reason
A parallelogram has one axis of
symmetry or the sum of interior angles
of a triangle is 180o

6. QUESTION 3
 Write two implications from the compound
statement below.

7. QUESTION 4
 State the converse of the implication below,
then determine whether this converse are
true or not.
If x and y are even numbers, then the
product of x and y is an even number.

8. QUESTION 5
 Make a conclusion based on the premises
below
Premise 1: All prime numbers are not perfect
squares
Premise 2: 37 is a prime number

9. QUESTION 6
 Complete the following argument
Premise
1:______________________________
Premise 2: x is not a multiple of 6
Conclusion: x is not a multiple of 18

10. QUESTION 7
 Make a conclusion by deduction for the
following case.
All angles which are more than 90o but
less than 180o are known as obtuse
angle. Given x=112o.

11. QUESTION 8
 Make a general conclusion by induction for the
following case.
Given 4, 9, 14, 19, …
and 4=5(0)+4
9=5(1)+4
14=5(2)+4
19=5(3)+4
………………..