CBSE Maths Class 7
CBSE CLASS 7: AN OVERVIEW
CBSE Class 7 is packed with knowledge and information that influences the rest of the high school career of a student. It comprises several important topics that teach students to be independent in their academics as well as lays the foundation for language, art, science and maths. Grade 7 builds a bridge between elementary education and the higher/secondary education of a student.
Children are exposed to new and relatively practical concepts which are applied to real life. It also helps build the fundamentals that will help students in their academic future.
Therefore, the study material is a key element towards helping them crack examinations and simplify the curriculum which is easy to understand.
CBSE CLASS 7 MATHS SYLLABUS
The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn playfully. It makes the process of conveying knowledge to the students efficient and healthy.
Chapter 1 – Integers
In this chapter, starting with the basic introduction to integers, all the basic operations are performed using integers. This chapter is one of the easiest and important chapters in the syllabus. The subchapters are:
 Introduction of Integers
A Brief introduction about positive numbers, negative numbers, and zero followed by a few exercises.
 Properties of Addition and Subtraction of Integers
Axioms of addition and subtraction of integers are discussed here with solved examples.
 Multiplication of Integers
Axioms of multiplication of integers are explained here with a few solved examples.
 Multiplication of a Positive and Negative Integer
Here, it is a continuation of the above subtopic with a few exercises.
 Multiplication of two Negative Integer
Here, the multiplication of two negative integers is discussed with some exercises
 Properties of Multiplication of Integers
In this module, properties of multiplication of integers are explained with some solved examples
 Division of Integers
Here, the division of integers are discussed
 Properties of Division of Integers
In this module, properties of the division of integers are discussed with a few solved examples.
From An examination point of view, this chapter has more weightage and a scoring unit that helps to secure good scores.
Chapter 2 – Fractions and Decimals
In this chapter, All the basic arithmetic operations are performed on fractions and decimals. With suitable pictorial representations and examples, these concepts can be easily understood. The subchapters are:
 Addition and Subtraction of Fractions
In this subtopic, we are going to discuss the addition and subtraction of fractions
 Multiplication of Fraction
As a continuation to the above subtopic here we are going to discuss the multiplication of fractions with a few solved examples
 Multiplication of a Fraction by a Whole Number
As a continuation to the above subtopic here we are going to discuss the multiplication of a fraction by a whole number with some exercises
 Multiplication of a Fraction by a Fraction
Here, the multiplication of a fraction by a fraction is explained with some exercises
 Division of Fraction
Now, the division of fraction is explained with exercises
 Division of Whole Number by a Fraction
Here, division of the whole number by a fraction with some solved examples
 Reciprocal of Fraction
Here, the reciprocal of fractions is discussed with a few examples
 Division of a fraction by a Whole Number
As it is explained above, here the division of a fraction by a whole number and some solved examples are given
 Division of Fraction by Another Fraction
Here, division of a fraction by another fraction with some exercises
 Multiplication of Decimal Numbers
Now, the multiplication of decimal numbers is explained with a few solved examples
 Multiplication of Decimal Numbers by 10, 100 and 1000
In this module, the multiplication of decimal numbers by 10,100,1000 are discussed with some exercises
 Division of Decimal Numbers
Now, the division of decimal numbers are explained with some solved examples
 Division of Decimals by 10, 100 and 1000
As we discussed above in the subtopic, now here it is with some more exercises
 Division of a Decimal Number by a Whole Number
Here, division of a decimal number by a whole number with some solved examples
 Division of a Decimal Number by Another Decimal Number
As the Above mentioned subtopic, now division of a decimal number by another decimal number
This is a vast and simple unit and is also a foundation chapter for many upcoming concepts in the years ahead.
Chapter 3 – Data Handling
This is another scoring and easiest chapter in the syllabus. How to store data, use the data, extract or retrieve data can be wellexplained in this chapter. The subchapters are:
 Collection of Data
Here, it is the introduction of various data and collection of data
 Organization of Data
In this module, the organization of data is explained in various ways
 Arithmetic Mean
Now, it is another way of organization of data
 Mode
Here, it is the way of organization of data besides of mean with some solved examples
 Mode of Large Data
As given in the above subtopic with more understanding some exercises are given
 Median
Another way of organization of data with few solved examples
 Use of Bar Graphs with a Different Purpose
This subtopic is given for more understanding with some solved examples
 Chance and Probability
Here, The Subtopics are given with a few solved examples for more understanding.
Chapter 4 – Simple Equations
This chapter discusses the functioning and properties of an equation, taking a few examples after each topic, for better understanding. As a beginner, this chapter is a little tough to get through, due to which, set of exercises are provided at the end. Regular practice makes this chapter a simple one. The subchapters are:
 What is Equation
Here, it is the introduction of the subtopic of the equation
 Solving an Equation
As we have observed in the above scenario here we see regarding solving an equation with few solved examples
 More Equations
Here their more exercises for more understanding of concepts
 From Solution to Equation
Now, as we can observe in the above subtopics with some solved examples
 Applications of Simple Equations To Practical Situations
Here, applications of simple equations to some practical situations with some solved examples fo
r more understanding.
Chapter 5 – Lines and Angles
This chapter is one of the fun units for students. Beginning with basic geometry introduction, types of angles, lines, their applications, etc are discussed here. The subchapters are:
 Introduction to Lines and Angles
In this module, we are going to have an introduction to lines and angles.
 Related angles
The given below are the different types of related angles :
 Complementary Angles
The sum of any two angles gives 90degree complementary angles and some exercises are given for more understanding
 Supplementary Angles
The sum of angles which gives a sum is 180 degrees is supplementary angles and a few solved examples
 Adjacent Angles
Two angles which are adjacent angles with some solved examples
 Linear Pair
Having a common vertex in the same plane.
 Vertically Opposite Angles
With a single point of intersection at equal and opposite angles, those are vertically opposite angles.
 Pairs of Lines
Here is the introduction to pair of lines and which are stated in different forms

 Intersecting Lines
 Transversal
 Angles made by a Transversal
 Transversal of Parallel Lines
 Checking for Parallel Lines
Also, the definition of parallel lines, types of parallel lines followed with a few activities and exercises make it easy for students to understand the topics clearly.
Chapter 6 – The Triangle and its Properties
In this chapter, Starting with a brief introduction of a triangle, the types of triangles and properties are explained in this unit. The subchapters are:
 Medians of a Triangle
This module is about the median of a triangle with a few solved examples
 Altitudes of a Triangle
Now, this concept is given with a few exercises
 Exterior Angle of a Triangle and Its Property
This subtopic is explained as above subtopic with some solved examples
 Angle Sum Property of a Triangle
In this module, the angle sum property of a triangle is discussed with some exercises
 Two Special Triangles: Equilateral and Isosceles
These two triangles are discussed with some solved examples
 Sum of the Lengths of Two Sides of A Triangle
Now, we are going to discuss with some exercises
 RightAngled Triangles and Pythagoras Property
In this module, Pythagoras property and RightAngled triangles are discussed with some solved examples and a few exercises
Also, the nature, rules, and operations performed on these triangles are discussed in depth in this chapter.
Chapter 7 – Congruence of Triangles
This chapter talks about the functionality of the triangles. This is the extension of the previous chapter. Various angles, line segments, planes, and their respective properties are wellexplained here. The subchapters are:
 Congruence of Plane Figures
In this subtopic, the congruence of plane figures are explained with a few exercises
 Congruence Among Line Segments
Congruence of line segments is discussed in this discussion few solved examples
 Congruence of Angles
Here, some exercises for more understanding of the congruence of angles
 Congruence of Triangles
In this discussion, the congruence of the triangle is explained with solved examples
 Criteria For Congruence of Triangles
The Criteria for the congruence of triangles is been discussed with some solved examples
 Congruence Among RightAngled Triangles
Here, it is another type of congruence that has been given by solved examples
Chapter 8 – Comparing Quantities
In this chapter, topics like percentages. ratios, proportions, are discussed here with relevant examples and exercises. A vast and challenging chapter. Profit and loss, the definition of price, and discount are a significant part of this chapter. The subchapters are:
 Equivalent Ratios
In this module, the equivalent ratios are observed with some solved examples
 PercentageAnother way of comparing quantities
Another way of comparing quantities is been discussed more with some exercises
 Converting fraction numbers to percentage
Converting fraction numbers to percentages is explained with some solved examples
 Converting Decimals to Percentage
This topic is there with some solved examples for better understanding
 Converting percentage to Fraction or Decimals
In this context, it is explained with some exercises
 Use of Percentage
Here is the introduction of the percentage
 Interpreting Percentage
As we have seen now the interpreting percentage is given by a few exercises
 Converting Percentage to “How Many”
This is a bit of a reasoning and tricky part of the subject.
 Ratios to Percent
Now this topic is explained with some solved examples
 Increase or Decrease as Percent
This subtopic is explained with some exercises
 Price Related to an Item or Buying and Selling
With some solved examples, this module is discussed
 Profit or Loss as a Percentage
Profit or Loss as a Percentage is discussed with some solved examples
 Charge Given on Borrowed Money or Simple Interest
This module is discussed with some solved examples
 Interest for Multiple Years
This subtopic is explained with some exercises
Chapter 9 – Rational Numbers
This unit discusses concepts like the definition of rational numbers, a difference of rational and whole numbers, basic arithmetic operations, etc are thoroughly explained. Also, the comparison of rational numbers is an important and tough concept in this chapter. The subchapters are:
 Need For Rational Numbers
This module is discussed about Rational numbers
 What Are Rational Numbers
As we have observed above, subtopic, and also clearcut problems are explained more here.
 Positive And Negative Rational Numbers
This module is discussed with some exercises for understanding
 Rationals Numbers On a Number Line
Rationals numbers on a number line are observed with some exercises
 Rational Numbers in Standard Form.
Problems here are solved in a standardized equation form.
 Comparison of Rational Numbers
This subtopic is explained with some solved examples
 Rational Numbers Between Two Rational Numbers
Here, rational numbers between two rational numbers are observed with some exercises
 Operations On Rational Numbers
 Addition of Rational Numbers
 Subtraction of Rational Numbers
 Multiplication of Rational Numbers
 Division of Rational Numbers
The above subtopics are observed with some solved examples.
Chapter 10 – Practical Geometry
In this chapter, starting with basic geometry to advanced level constructions are explained in detail. As there is an ample number of exercises provided after each topic, students need not worry about the practice. The subchapters are:
 Construction of a Line Parallel To a Given Line, Through a Point Not on The Line
In this module, the introduction is explained as some exercises
 Construction of Triangle
Simple triangle construction is discussed here
 Constructing a Triangle When the Lengths of its Three Sides are Known (SSS Criterion)
In the above subtopic, the concepts are observed with some solved examples
 Constructing a Triangle When the Lengths of Two Sides And The Measure of The Angle Between Them Are Known (SAS Criterion)
In the above subtopic, the concepts are observed with some solved examples
 Constructing a Triangle When The Measures of Two of Its Angles and The Length of The Side Inclined Between Them Is Given (ASA Criterion)
In the above subtopic, the concepts are observed with some solved examples
 Constructing a RightAngled Triangle When The Length of One Leg and Its Hypotenuse are Given (RHS Criterion)
The above axioms are explained with some exercises
Chapter 11 Perimeter and Area
This chapter comes under measurement under classification. Concepts like areas, perimeters of various shapes are measured followed by units of measurements. There are many applications provided at the end of each topic and the end of the chapter. The subchapters are:
 Squares and Rectangles
This subtopic is explained with some solved examples
 Triangles as Parts of Rectangles
Here, this subtopic is explained with some exercises
 Generalizing for Other Congruent Parts of Rectangles
In this module, the topics are discussed with some solved examples
 Area of a Parallelogram
With the given formula the area of the parallelogram is solved.
 Area of Triangle
With the given formula the area of the triangle is solved.
 Circumference of a Circle
With the given formula the circumference of the circle is solved.
 Area of Circle
The above axioms are explained with some exercises and with some solved examples
 Conversion of Units
This subtopic is observed with some solved examples
 Applications
As we have observed with the above Subtopics this subtopic is explained with some exercises
Chapter 12 – Algebraic Expressions
This chapter is another important chapter that discusses the meaning of an equation, its properties, find X value, basic arithmetic operations on expressions. Also, monomials, binomials, polynomials definitions are well explained with examples. The subchapters are:
 How are Expressions Formed
 Terms of An Expression
 Like and Unlike Terms
The above subtopics are discussed with some solved examples
 Monomials, Binomials, Trinomials, and Polynomials
The above different types are discussed with their definition along with some exercises
 Addition and Subtraction of Algebraic Expressions
This module is discussed with some solved examples
 Finding The Value of An Expression
This subtopic is explained with some solved examples
 Using Algebraic Expressions – Formulas and Rules
This module is discussed with some exercises
Chapter 13 – Exponents and Powers
This chapter is the introductory unit of exponents, laws of exponents, properties, and the set of problems are provided for thorough practice. The subchapters are:
 Exponents
Here, is the introduction to crispy subtopic exponents with some solved examples
 Laws of Exponents
The above axioms are explained with some solved examples
 Multiplying Powers With The Same Base
 Dividing Powers With The Same Base
 Taking Power of a Power
 Multiplying Powers With The Same Base
 Dividing Powers With The Same Exponents
The above axioms are explained with some exercises
 Miscellaneous Examples Using The Laws of Exponents
The above axioms are explained with some solved examples
 Decimal Number System
This subtopic is explained with some solved examples
 Expressing Large Numbers in The Standard Form
This module is discussed with some solved examples
Also, the decimal number system and its properties and standard form are a few significant topics in this unit.
Chapter 14 – Symmetry
The symmetry chapter is quite a tricky and challenging chapter with a very interesting set of activities and exercises for better practice and understanding of the concepts. Shapes symmetry, line symmetry, the definition of symmetry, and asymmetry and its properties are a few topics that are covered in this chapter.
Chapter 15 – Visualizing Solid Shapes
In this chapter, shapes, lines, angles are their definitions followed by properties that are explained in detail with pictorial representation. The subchapters are:
 Introduction to Plane Figures and Solid Figures
 Faces, Edges, and Vertices
The above subtopics are discussed with a brief introduction, a few basic exercises, and some solved examples
 Nets for Building 3D Shapes
This module is discussed with some exercises
 Drawing Solids on a Flat Surface
 Oblique Sketches
 Isometric Sketches
 Visualizing Solid Objects
The above axioms are explained with some solved examples
 Viewing Different Sections of a Solid

 One way to View an Object By Cutting or Slicing
 Another Way is By Shadow Play
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Also, definitions of solid surfaces and various sketches with few examples, and activities, are provided with this topic.
NCERT Solutions For Maths Class 7
The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn in a playful way. It makes the process of conveying knowledge to the students efficient and healthy.
NCERT Class 7 Book Pdfs
NCERT Solutions
Chapter 1 Integers
Chapter 2 Fractions and Decimals
Chapter 3 Data Handling
Chapter 4 Simple Equations
Chapter 5Lines and Angels
Chapter 6 The Triangle and its Properties
Chapter 7 Congruence of Triangles
Chapter 8 Comparing Quantities
Chapter 9 Rational Numbers
Chapter 10 Practical Geometry
Chapter 11 Perimeter and Area
Chapter 12 Algebraic Expressions
Chapter 13 Exponents and Powers
Chapter 14 Symmetry
Chapter 15 Visualising Solid Shapes
Important Questions For Maths Class 7
The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn in a playful way. It makes the process of conveying knowledge to the students efficient and healthy.
 Chapter 1 Integers
 Chapter 2 Fractions and Decimals
 Chapter 3 Data Handling
 Chapter 4 Simple Equations
 Chapter 5Lines and Angels
 Chapter 6 The Triangle and its Properties
 Chapter 7 Congruence of Triangles
 Chapter 8 Comparing Quantities
 Chapter 9 Rational Numbers
 Chapter 10 Practical Geometry
 Chapter 11 Perimeter and Area
 Chapter 12 Algebraic Expressions
 Chapter 13 Exponents and Powers
 Chapter 14 Symmetry
 Chapter 15 Visualising Solid Shapes
Solved Examples For Maths Class 7
 Chapter 1 Integers
 Chapter 2 Fractions and Decimals
 Chapter 3 Data Handling
 Chapter 4 Simple Equations
 Chapter 5Lines and Angels
 Chapter 6 The Triangle and its Properties
 Chapter 7 Congruence of Triangles
 Chapter 8 Comparing Quantities
 Chapter 9 Rational Numbers
 Chapter 10 Practical Geometry
 Chapter 11 Perimeter and Area
 Chapter 12 Algebraic Expressions
 Chapter 13 Exponents and Powers
 Chapter 14 Symmetry
 Chapter 15 Visualising Solid Shapes
CBSE Class 7 Maths Videos
Learn to solve problem sums based on mathematical operation on Fractions and Decimals from our SpeedLabs mentor “Ashish Mall” in just 2 minutes.
Learn to perform various mathematical operations on Rational Numbers from our SpeedLabs mentor “Ashish Mall” in just 1 minute.
Learn some timesaving tricks to solve question based on “Circumference of Circle” from our SpeedLabs mentor “Ankush Garg” in just 2 minutes.
Learn to find the “Sum of 2 Rational Numbers” from our SpeedLabs mentor “Ashish Mall” in just 1 minute.
Learn to solve problem sums based on mathematical operation on Fractions and Decimals from our SpeedLabs mentor “Ashish Mall” in just 2 minutes.
Learn how to simplify an given expression using Laws of Exponents from our SpeedLabs mentor “Paritosh Rao” in just 2 minutes.
Learn the basics of solving a linear equation from our SpeedLabs mentor “Paritosh Rao” in just 2 minutes.
Learn some timesaving tricks to solve question based on “Area of Rectangle & Circle” from our SpeedLabs mentor “Ankush Garg” in just 2 minutes.