## CBSE Class 6 Mathematics:

**CBSE Class 6** consists of variety of chapters in Mathematics including all the regular topics introduced in the previous classes. In **CBSE Class 6**, additional topics which are introduced are

- Algebra
- 2 Dimensional and 3 Dimensional Geometrical shapes
- Perimeter and area of an object
- Integers
- Mensuration
- Practical geometry and construction

The syllabus which are covered under the **CBSE Class 6** Mathematics are follows:

**Numbers:**

There are many sub topics covered under the chapter “Numbers”. Topics such as Knowing our numbers, playing with numbers, whole numbers, negative numbers and integers, fractions, etc.,

**Knowing our numbers: **

It covers the topics such as comparison of numbers using <.>,+ symbols, ascending and descending order of numbers, calculations of large numbers up to 8 digits, place value of a number, etc.,

**Even or odd numbers:**

Integers which are divisible by 2 are said to be even numbers whereas numbers which are not divisible by 2 are said to be odd numbers.

**Prime or composite numbers: **

A natural number which has only two distinct factors which is “1” and the number itself, is said to be a prime number. A number other than “1” and not a prime number is said to be a composite number.

**Relatively prime or co-prime numbers:**

A set of numbers which do not have any common factor other than “1”, are said to be co-prime numbers or relatively prime number.

**Perfect Numbers:**

Perfect numbers are the natural numbers, whose sum of positive divisors (except the number itself) is equal to the number itself.

**Playing with numbers:**

It is part of mathematics which is fun to solve. It involves concepts such as even, odd numbers, prime and composite numbers, divisibility rules, multiple and factors, prime factorization, HCF and LCM and simplification of brackets.

**Negative numbers and integers:**

Importance of negative numbers, arranging the negative numbers in ascending and descending order, introduction to integers, how to solve the problem with integers, how to solve the problems involving addition and subtraction of integers, etc.,

**Whole numbers:**

Whole numbers are a set of positive integers. They do not have any fractional or decimal part. Natural numbers along with zero are whole numbers. This topic covers the concepts such as natural numbers, whole numbers, properties of numbers such as commutative, associative, distributive, multiplicative identity, additive identity), solving problems involving whole numbers, knowing the difference between whole numbers and natural numbers, etc.,

**Fractions:**

Fractions and decimals are the most important chapters in “Numbers”. Fractions are the representation of a number with “/” whereas decimal is the representation of a number with “.”(Decimal point).

**Examples:**

- 783422 _____ 783426

- >
- <
- =
- None

Answer: <

- What is the predecessor of 3456?

- 3455
- 3478
- 3422
- 3498

Answer: 3455

- If the product of two whole numbers is zero, then ________ of them will be zero.

Answer: one

- _____ is the factor of 50

- 10
- 3
- 7
- 6

Answer: 10

- Fourth multiple of 8 is ___

- 16
- 24
- 32
- 40

Answer: 32

**Introduction to Algebra:**

Algebra is an important branch of Mathematics which is introduced right from the **CBSE Class 6**^{th} level. Algebra can be defined as a part of mathematics which deals with the symbols and rules for manipulating those symbols. The main concept in Algebra is “Equations”. Every equation in algebra describes the relationship between two variables. Any equation has two parts in LHS and RHS with “=” in between. The topics which are covered under this are recognizing the Algebraic expression, expressing an algebraic equation, introduction to different terms of expression, solving algebraic expression, etc.,

**Examples:**

- Find out the expression with numbers only?

- 2y+5
- (20%5) -3z
- 3x+3
- 3(23-5)+5*2

Answer: 3(23-5)+5*2

- An equation has ____ sides with = sign between LHS and RHS.

- Two
- Three
- Four
- Six

Answer: Two

**Ratio and Proportion:**

Ratios are the concepts which are used to compare two values. They make us understand the difference between two numbers. If total number of boys in a class is 5 and total girls in that class is 4, then the ratio of boys in the class can be represented as 5/9. Proportion is a name which is given when two ratios are equal. This can be represented as a:b=c:d. The above topics covers the syllabus such as ratio and proportion of a number, unitary method and word problems based on Ratio and proportion.

**Examples:**

- Meetu weight is 25 kg and her mother’s weight is 75 kg. What is the ratio of weight of meetu to weight of her mother?

- 1:3
- 1:2
- 1:4
- 3:1

Answer: 1:3

- If two ratios are equal then we say that they are ______

Answer: Proportional

**Geometry:**

This topic covers concepts such as Basic 2 dimensional geometrical ideas, understanding elementary shapes (2 dimensional and 3 dimensional), symmetry and construction of Geometrical objects.

**Examples: **

- How many end points does a ray have?

- 0
- 2
- 3
- 1

Answer: 1

- The end points of same sides of a polygon are called the _______ vertices.

- Parallel
- Same
- Different
- Adjacent

Answer: Adjacent

**Mensuration:**

Already students would have learned about the basic concepts of finding the perimeter, area of a given object in the previous classes.

Perimeter is the total number of boundary size that an object can cover whereas area is the total number of surface that an object covers. The other concepts which are covered under this topic are concept of Area, area of a rectangle and triangle, calculating the perimeter of a rectangle and square.

**Examples:**

- Find the perimeter of a regular octagon with each side measuring 3 cm.

- 24 cm
- 20 cm
- 10 cm
- 15 cm

Answer: 24 cm

- Find the side of the square whose perimeter is 20 m.

- 4 m
- 3 m
- 6 m
- 5 m

Answer: 5 m

**Practical Geometry and construction:**

This is a branch of Geometry which deals with the construction of geometrical objects. There are specific instruments or tools and specific rules to construct the geometrical objects. The tools such as ruler, compass, protractor can be used to construct every geometrical object.

The topics which are covered under this are construction of line segment using ruler and compass, construction of circle, construction and measuring angles, construction of perpendicular bisector, how to bisect angles, etc.,

**Examples:**

- Find out the correct type of the triangle which has sides 7 cm, 8 cm and 9 cm.

- Isosceles triangle
- Scalene Triangle
- Equilateral triangle
- None of these

Answer: Scalene Triangle

- The measure of right angle is ____

- 60 degree
- 90 degree
- 180 degree
- 30 degree

Answer: 90 degree

**Statistics and data handling:**

Collection of information is said to be data. These data can be pictorially represented using graphs, charts, bar charts, etc. The reason behind representing the data through pictorial representation is it gives a clear understanding of the data and its organization. Graphs such as pictographs, tally graphs, bar charts and pie charts are used to represent the data.

The topics which are covered under the “Statistics and Data Handling” are definition of data, construction of pictograph, collection and organizing data using the charts such as bar charts, interpret data using the pictograms and graphs.

**Examples:**

- A _____ represents data through pictures of objects.

Answer: Pictograph

- The _______ each bar gives required information.

Answer: Length

**3 D shapes:**

This covers the topics such as 3 dimensional shapes and sizes of an object, recognizing different 3d shapes, understanding the concepts of vertices, edges and faces , etc.,

**Examples:**

- A _______ is a polygon with four sides.

Answer: Quadrilateral

- Two faces meet at a line segment called as ______

Answer: Edge

Thus, the above topics are covered under the syllabus of **CBSE Class 6** Mathematics.

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