# 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 sub-chapters 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 sub-topic 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 sub-chapters are:

• Addition and Subtraction of Fractions

In this sub-topic, we are going to discuss the addition and subtraction of fractions

• Multiplication of Fraction

As a continuation to the above sub-topic 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 sub-topic 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 sub-topic, 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 sub-topic, 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 well-explained in this chapter. The sub-chapters 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 sub-topic 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 sub-topic is given for more understanding with some solved examples

• Chance and Probability

Here, The Sub-topics 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 sub-chapters are:

• What is Equation

Here, it is the introduction of the sub-topic 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 sub-topics 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 sub-chapters 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 90-degree 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

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 sub-chapters 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 sub-topic is explained as above sub-topic 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

• Right-Angled Triangles and Pythagoras Property

In this module, Pythagoras property and Right-Angled 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 well-explained here. The sub-chapters are:

• Congruence of Plane Figures

In this sub-topic, 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 Right-Angled 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 sub-chapters are:

• Equivalent Ratios

In this module, the equivalent ratios are observed with some solved examples

• Percentage-Another 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 sub-chapters are:

• Need For Rational Numbers

This module is discussed about Rational numbers

• What Are Rational Numbers

As we have observed above, sub-topic, and also clear-cut 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
•        Subtraction of Rational Numbers
•        Multiplication of Rational Numbers
•        Division of Rational Numbers

The above sub-topics 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 sub-chapters 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 sub-topic, 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 sub-topic, 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 sub-topic, the concepts are observed with some solved examples

• Constructing a Right-Angled Triangle When The Length of One Leg and Its Hypotenuse are Given (RHS Criterion)

The above axioms are explained with some exercises

### Chapter 11Perimeter 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 sub-chapters 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 Sub-topics 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 sub-chapters are:

• How are Expressions Formed
• Terms of An Expression
• Like and Unlike Terms

The above sub-topics 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 sub-chapters are:

• Exponents

Here, is the introduction to crispy sub-topic 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 sub-chapters are:

• Introduction to Plane Figures and Solid Figures
• Faces, Edges, and Vertices

The above sub-topics are discussed with a brief introduction, a few basic exercises, and some solved examples

• Nets for Building 3-D 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.

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## Chapter 10- Practical Geometry

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## Chapter 11- Perimeter and Area

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## Chapter 12- Algebraic Expressions

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## Chapter 13- Exponents and Powers

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## Chapter 14- Symmetry

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## Chapter 15- Visualising Solid Shapes

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## 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.

## 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 time-saving 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 time-saving tricks  to solve question based on “Area of Rectangle & Circle” from our SpeedLabs mentor “Ankush Garg” in just 2 minutes.

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