Class 6 Maths Test Whole Numbers

‘Whole numbers’ is the second chapter of the Class 6 Maths syllabus. The chapter is in both I.C.S.E. and C.B.S.E. syllabuses. This post contains an online maths test on the chapter whole numbers. online tests are similar to mock tests. This test has been made in the form of a quiz containing 10 multiple choice questions on the chapter – whole numbers.
Before starting the quiz, let us recap what you have read in the chapter whole numbers.

What are whole numbers

Whole numbers are the counting numbers starting with 0 and comprising all the positive numbers or you can say, natural numbers along with 0 are whole numbers.
Thus,
(i) 0, 1, 2, 3, 4, …….is the whole number series.
(ii) The smallest whole number is 0 whereas the greatest whole number cannot be obtained.

Properties of Addition and Subtraction of Integers

Closure Property

 Closure property of whole numbers states that for any two whole numbers a and b, a + b is an also a whole number.
Hence, the sum of two whole numbers will be a whole number. 
For example, 69+ 15 = 84 
 Thus we can say that Whole numbers are closed under addition.

Closure under Subtraction

Closure property of Whole numbers states that,
 if a and b are two Whole numbers, then a – b is not necessarily a Whole number. 
For example, 20 – 6 = 14, which is a whole number, whereas
6 – 20 = -14 which is not a whole number.

e Property

The commutative property states that for any two whole numbers a and b, 
 a + b = b + a
For example,
 9 + 3 = 3 + 9 = 12
Thus, we conclude that addition is commutative for whole numbers.

But,  9 – 3 = 6 and 3 – 9 = -6.
Thus We conclude that subtraction is not commutative for whole numbers.

Associative property

Associative property states that, for any integers a, b and c, we can say a + (b + c) = (a + b) + c
For example, 234 + (197 + 103) = 534 and (234 + 197) + 103 = 534
This shows that addition is associative for whole numbers.

Properties of Multiplication

Closure Property

Closure property of multiplication states that the product of two whole numbers is a whole number.
Thus, a × b is a whole number for all the whole numbers a and b.
For example, 52 × 15 = 780 which is a whole number.

Commutativity of Multiplication

The commutative property states that  for any two whole numbers a and b, 
a × b = b × a
For example, 30 × 15 = 450 and 15 × 30 = 450.
Thus Commutativity of Multiplication is true for whole numbers. 

Associativity for Multiplication

The associative property states that,  for any three whole numbers a, b and c (a × b) × c = a × (b × c)
Thus, 8 × 1769 × 125 = 8 × 125 × 1769 = 17,69,000.
Thus, the product of three whole numbers does not depend upon the grouping of them.

Distributivity of Multiplication over Addition

 Distributive property states that for any integers a, b and c,
 a × (b + c) = a × b + a × c
 For example,
4 × (5 + 8)= (4 × 5) + (4 × 8) = 52
This is known as distributivity of multiplication over addition.

Division of Whole Numbers

(i) Whole numbers are not closed under division.
For example, 16 ÷ 4 = 4, a whole number.
                        6 ÷ 5 = 6 / 5, not a whole number(ii) Division by zero is not defined.
(iii) Associative property for division is not followed by whole numbers.
For example, (28 ÷ 14) ÷ 2 and 28 ÷ (14 ÷ 2).

Class 7 Maths Test Chapter- Whole Numbers

Video tutorials on the chapter – Whole numbers Class 6 Maths:
Part 1
Part 2
Part 3

Rules For The Quiz:

• This quiz has 10 multiple-choice questions.
• Each sum has 2 marks.
• So the maximum marks are 20.
• There is no time limit.
• You should be ready with a pen and copy in your hand to solve the sums.
• keep your Maths book away from you. This is the test of your memory. So do not take the help of the Maths book.
• The correct answer and explanation are provided at the end of this quiz.