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# NCERT Solutions for Class 7 Maths

NCERT Solutions for Class 7 Maths is the most recommended study material for students appearing in CBSE exams. There are a total of 15 Chapters in NCERT Class 7 Maths. Some of the chapters of the CBSE Class 7 Maths book are Integers, Fractions and Decimals, Simple Equations, Rational Numbers, Practical Geometry, Algebraic Expressions, etc. In the NCERT solutions for Class 7, you will study chapter-wise basic concepts and formulas of NCERT Class 7th Maths, Geometry, and Algebra.

The difficulty level on a scale of 1 to 10 can be given as 6 to 7 with basic mathematics being simpler and the chapters covering the applications a little more difficult. At Instasolv, we help you build the concepts of NCERT Class 7 Maths.

We have a team of experienced subject matter experts who have prepared the answers as required by CBSE to score high in the exam. Apart from Exercise-wise solutions you also get a short chapter-wise summary of the NCERT Book for CBSE Class 7 Maths.

Class 7

## NCERT Solutions for Class 7 Maths Chapter 1: Integers

### Integers Class 7: Chapter Summary

Chapter 1 Integers was initiated in CBSE Class 6. Going forward from recalling that overview this chapter covers Integers in detail. The Chapter is divided into 7 exercises 1.1 to 1.7

• Introduction
• Recall
• Properties  of Addition and Subtraction of Integers
• Multiplication of Integers
• Properties of Multiplication of Integers
• Division of Integers
• Properties of Division of Integers

Each is in a sequential progression of learning. There are further divisions of the exercises as well to explain systematically step by step. At the end of the Chapter is a summary with all the highlights of the Chapter.

Instasolv provides solutions to all the questions. It helps you write the answers to score full marks in your exams. Maths is a science subject in which you can score full marks. Practice the solutions and prepare yourself well to score maximum in your CBSE Class 7 Maths.

Types of Questions

The Chapter has several examples, solved questions, practice questions as well as 4 exercises. Exercise 1.1 has 10 questions. Exercise 1.2 has 4 questions with the last one being ‘fill in the blanks’. This is the simplest of the exercises in this chapter. Exercise 1.3 has 9 questions. Exercise 1.4 has 7 questions. The total number of questions in all the exercises put together is 30.

## NCERT Solutions for Class 7 Maths Chapter 2: Fractions and Decimals

### Fraction and Decimals Class 7: Chapter Summary

As you had studied in Chapter 1, this Chapter also follows the same structure. The Chapter is divided into 7 exercises 2.1 to 2.7

• Introduction
• How Well you have learnt about Fractions?
• Multiplication of Fractions
• Division of Fractions
• How Well you have Learnt about Decimal Numbers
• Multiplication of Decimal Numbers
• Division of Decimal Numbers

There are further divisions of the exercises as required for better understanding. The recall of Fractions and Decimal Numbers from what you have studied in earlier classes is comprehensively covered with practice questions and exercises. Important highlights are given at the end of the Chapter.

Types of Questions

The Chapter has 7 exercises. Exercise 2.1 has 8 questions which test your learning of fractions in earlier classes. Exercises 2.2 and 2.3 have 8 questions each. Exercise 2.4 has only 4 questions. Exercise 2.5, 2,6 and 2.7 have 9, 5 and 6 questions respectively. The total number of questions in all the exercises put together is 48.

## NCERT Solutions for Class 7 Maths Chapter Chapter 3: Data Handling

### Data Handing Class 7: Chapter Summary

Chapter 3 Data Handling starts with very simple concepts of data collection and organization. There are some theoretical portions in this part that are easy to understand. The next part of the Chapter covers Representative Values that are used in application type questions. This part is more conceptual and needs deeper understanding. Arithmetic Mean, Range, Mode, and Mean are discussed. This is followed by understanding the use of Bar Graphs. The last part of the Chapter is the most difficult on Chance and Probability.  The Chapter is divided into the following:

• Introduction
• Collecting Data
• Organization of Data
• Reserentiative Values
• Arithmetic Mean
• Range
• Mode
• Median
• Use of Bar Graphs With a Different Purpose
• Chance and Probability

Instasolv provides chapter-wise NCERT Class 7 Maths Chapter 3 solutions to all the questions. It helps understand the concepts better so that the topics with higher difficulty level can also be attempted easily. Instasolv helps you score better marks than others in the exams. This is also a preparation for the future and more competitive exams.

Types of Questions

The Chapter has 4 exercises. Exercise 3.1 has 9 questions and comes straight after Range i.e. half the Chapter. Exercises 3.2 has 5 questions covering median and mode. Exercise 3.3 has 6 questions on data interpretation. Exercise 3.4 has only 3 questions on chance and probability that can be done easily if the concept is well understood. The total number of questions in NCERT Solutions for Class 7 Maths Chapter 3 Data Handling is 23.

## NCERT Solutions for Class 7 Maths Chapter 4: Simple Equations

### Simple Equations Class 7: Chapter Summary

Chapter 4 of NCERT Solutions for Class 7 Maths starts with a mind-reading game. This is the start of algebra and builds curiosity and excitement in the students. Thereafter the Chapter stepwise explains a simple equation, how it is set up and solved. Simple applications of the simple equation are covered in the last part of this Chapter. The exercises of Chapter 4 Simple Equations are:

• Setting up of an Equation
• Review of What We Know
• What Equation is?
• More Equations
• From Solution to Equation
• Application of Simple Equations to Practical Situations

Each subpart is further divided as required. The last part is the most interesting where practical situations and the application of simple equations to solve them are explained. At the end of the Chapter, highlights are given for quick reference.

Types of Questions

The Chapter has 4 exercises. Exercise 4.1 has 6 questions and comes halfway through the Chapter. Exercise 4.2 has 4 questions and almost immediately follows Exercise 4.1. Exercise 4.3 again has 4 questions. Exercise 4.4 has another 4 questions but there are several parts to each of the questions here. These are the most interesting and need good conceptual clarity. The total number of questions in this Chapter is 18.

Instasolv provides the most reliable study material for Class 7 Maths. Go through all the answers and prepare yourself well to score maximum marks in the exams.

## NCERT Solutions for Class 7 Maths Chapter 5: Lines and Angles

### Lines and Angles Class 7: Chapter Summary

This is the simplest chapter of Geometry. Most of this chapter is a recollection of all that you have studied in earlier classes. There are several self-practice exercises and tasks. Instasolv recommends that you attempt all of them. It will not only be enjoyable but will lay the foundation for a major part of Maths which is geometry. Geometry is about visualization and Instasolv will help you learn to start visualizing shapes and figures so that you can score high in your exams. The exercisesof this Chapter are

• Introduction
• Related Angles
• Pair of Lines
• Checking for Parallel Lines

There are further divisions of the exercises covering the topic in detail. All important highlights are covered at the end of the Chapter. These can be used for a quick revision of the Chapter.

Types of Questions

The Chapter has only 2 exercises. Exercise 5.1 has 14 questions Exercises 5.2 has 6 questions. The total number of questions in all the exercises put together is 20.

## NCERT Solutions for Class 7 Maths Chapter 6: The Triangle and its Properties

### The Triangle and its Properties Class 7: Chapter Summary

Chapter 6 The Triangle and its Properties is the natural progression of Lines and Angles which was studied in Chapter 5.  The Chapter is divided into the following:

• Introduction
• Medians of a Triangle
• Altitudes of a Triangle
• Exterior Angle of a Triangle and its Property
• Angle Sum Property of a Triangle
• Two Special Triangles: Equilateral and Isosceles
• Sum of the Lengths of Two Sides of a Triangle
• Right Angled Triangles and Pythagoras Property

Instasolv provides chapter-wise solutions to all the questions. There is a further part of Geometry called Trigonometry which is only about triangles. Instasolv recommends that you develop a good understanding of the concepts. This will help you score high marks in the exams and also prepare you for the future.

Types of Questions

The Chapter has 5 exercises. Exercise 6.1 has 3 questions and Exercises 6.2 and 6.3 have 2 questions each. Exercise 6.4 has 6 questions. Exercise 6.5.has 8 questions largely focused on Pythagoras Theorem. The total number of questions in NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties is 21.

## NCERT Solutions for Class 7 Maths Chapter 7: Congruence of Triangles

### Congruence of Triangles Class 7: Chapter Summary

Chapter 7 moves beyond the basics of Triangles covered in the previous Chapter. The entire chapter is based on Congruence moving up stepwise from Lines, Angles and then Triangles. The exercises of NCERT Solutions to Class 7 Maths Chapter 7 Congruence of Triangles are:

• Introduction
• Congruence of Plane Figures
• Congruence Among Line Segments
• Congruence of Angles
• Congruence of Triangles
• Criteria for Congruence of Triangles
• Congruence Among Right-Angled Triangles

By the end of this Chapter, you would have understood the meaning and application of congruence in depth. There is an Enrichment Activity after both the exercises of this Chapter. Instasolv recommends that you attempt these activities. Important highlights are given at the end of the Chapter.

Types of Questions

The Chapter has only 2 exercises. Exercise 7.1 has 4 questions and it comes after the Congruence of Triangles has been explained. Exercises 7.2 has 10 questions. The total number of questions in both the exercises put together is 14. This is the shortest chapter.

## NCERT Solutions for Class 7 Maths Chapter 8: Comparing Quantities

### Comparing Quantities Class 7: Chapter Summary

Chapter 8 Comparing Quantities brings you back to basic maths.  A line is bigger or smaller as compared to the line next to it. This is a simple but important Chapter as the practical applications are many.  Several situations are irrelevant without a comparison. Ratios, Percentage, Calculation of Interest are all covered in this Chapter. The Chapter is divided into the following:

• Introduction
• Equivalent Ratios
• Percentage – Another Way of Comparing Quantities
• Use of Percentages
• Prices Related to an Item or Buying and Selling
• Charge Given on Borrowed Money or Simple Interest

At Instasolv, we provide chapter-wise solutions to all the questions. Practical problems are explained in a manner that any type of question on the same concept can be answered easily.  Instasolv helps you score high marks in the exams.

Types of Questions

The Chapter has 3 exercises. Exercise 8.1 has 3 simple questions. Exercises 8.2 has 10 questions and Exercise 8.3 has 11 questions. The total number of questions in NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities is 24.

## NCERT Solutions for Class 7 Maths Chapter 7: Congruence of Triangles

### Congruence of Triangles Class 7: Chapter Summary

Chapter 7 moves beyond the basics of Triangles covered in the previous Chapter. The entire chapter is based on Congruence moving up stepwise from lines, angles and then triangles. The exercises of NCERT Solutions to Class 7 Maths Chapter 7 Congruence of Triangles are:

• Introduction
• Congruence of Plain Figures
• Congruence Among Line Segments
• Congruence of Angles
• Congruence of Triangles
• Criteria for Congruence of Triangles
• Congruence Among Right-Angled Triangles

By the end of this Chapter, you would have understood the meaning and application of congruence in depth. There is an Enrichment Activity after both the exercises of this Chapter. Instasolv recommends that you attempt these activities. Important highlights are given at the end of the Chapter.

Types of Questions

The Chapter has only 2 exercises. Exercise 7.1 has 4 questions and it comes after the Congruence of Triangles has been explained. Exercises 7.2 has 10 questions. The total number of questions in both the exercises put together is 14. This is the shortest chapter.

## NCERT Solutions for Class 7 Maths Chapter 8: Comparing Quantities

### Comparing Quantities Class 7: Chapter Summary

Chapter 8 Comparing Quantities brings you back to basic maths.  A line is bigger or smaller as compared to the line next to it. This is a simple but important Chapter as the practical applications are many.  Several situations are irrelevant without a comparison. Ratios, Percentage, Calculation of Interest are all covered in this Chapter. The Chapter is divided into the following:

• Introduction
• Equivalent Ratios
• Percentage – Another Way of Comparing Quantities
• Use of Percentages
• Prices Related to an Item or Buying and Selling
• Charge Given on Borrowed Money or Simple Interest

At Instasolv, we provide chapter-wise solutions to all the questions. Practical problems are explained in a manner that any type of question on the same concept can be answered easily.  Instasolv helps you score high marks in the exams.

Types of Questions

The Chapter has 3 exercises. Exercise 8.1 has 3 simple questions. Exercises 8.2 has 10 questions and Exercise 8.3 has 11 questions. The total number of questions in NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities is 24.

## NCERT Solutions for Class 7 Maths Chapter 9: Rational Numbers

### Rational Numbers Class 7: Chapter Summary

NCERT Solutions for Class 7 Maths Chapter 9 is all about Rational numbers. The definition, importance, addition, subtraction, multiplication, division, and the practical application of rational numbers are all covered in detail in this Chapter.  The exercises of the Chapter are

• Introduction
• Need for Rational Numbers
• What are Rational Numbers?
• Positive and Negative Rational Numbers
• Rational Numbers on a Number Line
• Rational Numbers in Standard Form
• Comparison of Rational Numbers
• Rational Numbers Between Two Rational Numbers
• Operations of Rational Numbers

By the end of this Chapter, you would have understood the meaning and application of rational numbers in depth. Important highlights are given at the end of the Chapter for a quick revision.

Types of Questions

The Chapter has only 2 exercises. Exercise 9.1 has 10 questions and it comes after most of the theoretical concepts, till subpart 8 Rational Numbers Between Two Rational Numbers have been explained. Exercises 9.2 has 4 questions covering the Operations of Rational Numbers. The total number of questions in both the exercises put together is 14. This is a short chapter. Instasolv recommends that you study this chapter well and score high marks in your exam.

## NCERT Solutions for Class 7 Maths Chapter 10: Practical Geometry

### Practical Geometry Class 7: Chapter Summary

Chapter 10 Practical Geometry again swings back to geometry.  The Chapter is simple. It teaches you to construct different diagrams. Instasolv recommends that you keep your geometry box with all the pieces of equipment with you, sharpen your pencils and attempt all the exercises judiciously. This will prepare you well for the exam and help you score high marks. The Chapter is divided into the following:

• Introduction
• Construction of a Line Parallel to a Given Line, Through a Point Not on the Line
• Construction of Triangles
• Constructing a Triangle when the Lengths of Its Three Sides are Known (SSS Criterion)
• Constructing a Triangle when the Lengths of Two Sides and the Measure of the Angle Between Them are Known (SAS Criterion)
• Constructing a Triangle when the Measures of Two of its Angles and the Length of the Side Included Between Them is Given. (ASA Criterion)
• Constructing a Right Angled Triangle when the Length of One Leg and its Hypotenuse are Given (RHS Criterion)

At Instasolv, we provide chapter-wise solutions to all the questions. Practical problems are explained in a manner that any type of question on the same concept can be answered easily.  Instasolv helps you score high marks in the exams.

Types of Questions

The Chapter has 4 short exercises. Exercise 10.1 has 3 simple questions on the construction of lines. Exercise 10.2 has 4 questions. Exercises 10.3, 10.4 and 10.5 have 3 questions each. All exercises after 10.1 are based on the construction of triangles. The total number of questions in NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry is 16.

## NCERT Solutions for Class 7 Maths Chapter 11: Perimeter and Area

### Perimeter and Area Class 7: Chapter Summary

Chapter 11 is another application of geometry which is simple and widely used. The Chapter covers different geometrical shapes like squares, rectangles, triangles, parallelograms, circles and follows it up with applications of the concept. Several solved examples, self-study practice exercises will help you understand the concept better. The exercises of this Chapter are:

• Introduction
• Squares and Rectangles
• Area of a Parallelogram
• Area of a Triangle
• Circles
• Conversion of Units
• Applications

Important highlights are given at the end of the Chapter for quick reference.

Types of Questions

The Chapter has 4 exercises. Exercise 11.1 has 8 questions and is based only on squares and rectangles. Exercises 11.2 has 8 questions covering triangles and parallelograms. Exercise 11.3 is a long one with 17 questions on circles. The last exercise 11.4 has 11 questions. The total number of questions in both the exercises put together is 40.

## NCERT Solutions for Class 7 Maths Chapter 12: Algebraic Expressions

### Algebraic Expressions Class 7: Chapter Summary

Chapter 12 Algebraic Expressions is about formulating, combining and finding the values of variables in algebraic expressions.  Conceptually the foundation of algebra laid down in earlier classes is further strengthened in this Chapter. The Chapter is divided into the following:

• Introduction
• How are Expressions Formed
• Terms of an Expression
• Like and Unlike Terms
• Monomials, Binomials, Trinomials, and Polynomials
• Addition and Subtraction of Algebraic Expressions
• Finding the Value of an Expression
• Using Algebraic Expressions – Formulas and Rules

Instasolv provides chapter-wise solutions to all the questions in each exercise. NCERT Solutions for Class 7 Maths takes you stepwise through different subdomains of mathematics like geometry, algebra, etc. Instasolv helps you to understand the concepts better so you can answer any type or variation of a question and score maximum marks in the exam.

Types of Questions

The Chapter has 4 exercises. Exercise 12.1 has 7 questions. This exercise covers the first part of the chapter dedicated to the theoretical concept of algebraic expressions. Exercises 12.2 has 6 questions on the addition and subtraction of algebraic expressions. Exercise 12.3 has 10 questions and Exercise 12.4 has only 2 questions. The total number of questions in NCERT Solutions for Class 7 Maths Chapter 8 Algebraic Expressions is 25.

## NCERT Solutions for Class 7 Maths Chapter 13: Exponents and Powers

### Exponents and Powers Class 7: Chapter Summary

Chapter 13 Exponents and Powers is short.  The difficulty level and complexity increases as the numbers become very large. Exponents and Powers are a way to express very large numbers more simply. The exercises of NCERT Solutions to Class 7 Maths Chapter 13 Exponents and Powers are:

• Introduction
• Exponents
• Laws of Exponents
• Miscellaneous Examples Using the Laws of Exponents
• Decimal Number system
• Criteria for Congruence of Triangles
• Congruence Among Right-Angled Triangles

The support of Instasolv will help you understand the concepts better and you will be able to answer all the questions easily. Important highlights are given at the end of the Chapter.

Types of Questions

The Chapter has only 3 exercises. Exercise 13.1 has 8 questions which are quite basic and simple.  Exercise 13.2 has 5 questions that have a higher difficulty level. Exercise 13.3 has 4 questions with several parts in each. These are simple and more of a practice to make you comfortable in expressing large numbers in simple forms. The total number of questions in the exercises put together is 17.

## NCERT Solutions for Class 7 Maths Chapter Chapter 14: Symmetry

### Symmetry Class 7: Chapter Summary

Symmetry is used in our normal language quite frequently.  It is a geometrical concept used everywhere in natural and manmade objects. Jewelry, buildings, bridges, flowers, leaves, are all examples of this. In this short chapter, you will get an appreciation and understanding of the geometrical concept of symmetry.  The Chapter is divided into the following:

• Introduction
• Lines of Symmetry for Regular Polygons
• Rotational Symmetry
• Line Symmetry and Rotational Symmetry
• Prices Related to an Item or Buying and Selling
• Charge Given on Borrowed Money or Simple Interest

At Instasolv, we provide chapter-wise solutions to all the questions. Practical problems are explained in a manner that any type of question on the same concept can be answered easily.  Instasolv helps you score high marks in the exams.

Types of Questions

The Chapter has 3 exercises. Exercise 14.1 has 10 questions including those having theoretical answers. Exercises 14.2 has only 2 questions based on rotational symmetry. Exercise 14.3 has 7 questions. The total number of questions in this Chapter is 19.

## NCERT Solutions for Class 7 Maths Chapter Chapter 15: Visualizing Solid Shapes

### Visualizing Solid Shapes Class 7: Chapter Summary

Engineering sciences, where construction of different objects is the primary function, visualization of the shapes is the most important concept. NCERT Solutions for Class 7 Maths Chapter 15 Visualizing Solid Shapes is the last Chapter designed to lay the foundation for understanding more complex parts of maths that will be studied in future classes. To make it more interesting, a game is given after Exercise 15.1 and suggested to be played with friends.  The Chapter is divided into the following:

• Introduction: Plane Figures and Solid Shapes
• Faces, Edges, and Vertices
• Nets for Building 3-D Shapes
• Drawing Solids on a Flat Surface
• Viewing Different Sections of a Solid
• Charge Given on Borrowed Money or Simple Interest

At Instasolv, we provide chapter-wise solutions to all the questions. Practical problems are explained in a manner that any type of question on the same concept can be answered easily.  Instasolv helps you score high marks in the exams. Highlights are given at the end of the Chapter for a quick revision.

Types of Questions

The Chapter has 4 exercises. Exercises 15.1 and 15.2 have 5 questions each. Exercises 15.3 has a single question to be answered theoretically. Instasolv suggests that you understand the concept well and then answer the question. Exercise 15.4 has 3 questions. The total number of questions in this Chapter is 15.

### Study Tips for CBSE Class 7 Maths Exams

You can score high marks in Maths if you understand the concepts well and write the answers as expected by CBSE.

• Instasolv provides the most reliable study material which will help you understand the concepts and score high marks in the exams.
• Maths is about practice. There are various solved examples. Instasolv recommends that you solve the questions on your own before referring to the solutions given. This will test your understanding of the concepts and build your confidence.
•  Identifying a mistake also becomes easier by this method and once identified repetition of the same mistake can be easily avoided.
• Besides solved examples, there are various examples, self-practice exercises and activities, and even games. Instasolv recommends that you attempt it all. This will prepare you well.
• Instasolv provides chapter-wise solutions to each question of the exercises. Instasolv has a team of experienced teachers for this.
• You should go through all the solutions after attempting them on your own. Once all the exercises have also been solved, you will be fully ready for scoring high marks in the exams.
• Practice will improve your speed and prepare you to answer any type of question or any variation.
• Give some time consistently every day to Maths. For revision, the highlights given at the end of the Chapter will be enough.