# NCERT Solutions for Class 7 Maths CBSE

Grade 7 is the beginning of self-study for students. One should be thorough with concepts learnt in the lower grades in order to be able to study independently. Having NCERT solutions handy can help a student score well in exams. TopperLearning offers CBSE Class 7 Maths solutions to students for instant help.

NCERT Solutions for CBSE Class 7 Mathematics cover solutions to all the exercises from the NCERT Maths textbook. Apart from free textbook Solutions, we also have video solutions, MCQs, extra practice questions, CBSE sample paper Class 7, revision notes etc. for scoring full marks in your Maths exam. Use our doubt solver Undoubt, and get clarity from our subject experts.

Our experienced team of experts have designed the study material as per the updated CBSE curriculum. Mathematics will become simple and a high-scoring subject with TopperLearning’s NCERT Solutions for CBSE Class 7 Mathematics. So, kick start your preparation and become a topper in Mathematics.

## NCERT Solutions Maths

## Chapter-wise list of ncert solution for Class 7 Maths

- Chapter 1 - Integers
- Chapter 2 - Fractions and Decimals
- Chapter 3 - Data Handling
- Chapter 4 - Simple Equations
- Chapter 5 - Lines And Angles
- 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

## NCERT Solutions for Class 7 Maths

NCERT Solutions for CBSE Class 7 Mathematics Chapter 1 Integers

Let us learn about negative numbers and whole numbers. This chapter talks about the addition and subtraction of integers. It then dives deeper and teaches multiplication and division of integers along with their properties. Gain clarity with the best video solutions, most important questions, tests, CBSE sample paper Class 7, revision notes, and more.

Chapter 1 - Integers Exercise Ex. 1.1

Revise the concept of integers and assess your knowledge from previous grades with TopperLearning’s NCERT Solutions for CBSE Class 7 Maths. Solve every question from this exercise and cross-check your solutions with CBSE Class 7 Maths textbook solution.

Chapter 1 - Integers Exercise Ex. 1.2

Learn to apply basic operations like addition and subtraction on Integers with NCERT Solutions for CBSE Class 7 Maths. Refer to stepwise solutions and more questions for practice with CBSE Class 7 Maths.

Chapter 1 - Integers Exercise Ex. 1.3

Learn how to multiply integers with NCERT Solutions for CBSE Class 7 Maths. These questions are often asked in exams. Students can check for CBSE Class 7 Maths sample paper for better clarity.

Chapter 1 - Integers Exercise Ex. 1.4

After learning about multiplication, now learn how to divide integers with NCERT Solutions for CBSE Class 7 Maths. There are some more questions for practice with TopperLearning’s most important questions. If you are confused, use our doubt solver, Undoubt, and clear your doubts instantly.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 2 Fractions and Decimals

This chapter teaches multiplication of a fraction by a fraction, division of a whole number by a fraction, division of a fraction by a whole number, multiplication of a decimal by 10, 100, 1000, and more. Other topics are multiplication of a decimal by a whole number, multiplication of a decimal by a decimal, division of decimals by 10, 100, 1000, and more, and dividing a decimal by a whole number.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.1

Perform basic operations like addition and subtraction on fractions with free textbook Solutions. Compare these fractions and verify your answers with NCERT Solutions for CBSE Class 7 Maths. This exercise also tests your knowledge from previous grades. TopperLearning’s revision notes help you comprehensively revise your concepts.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.2

Understand the process of multiplication of a fraction by a whole number with NCERT Solutions for CBSE Class 7 Maths.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.3

Take a step ahead and learn to multiply a fraction by another fraction with NCERT Solutions for CBSE Class 7 Maths. Refer to each and every step and feel free to approach our experts on our doubt solver “Undoubt”.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.4

How to divide fractions? Learn the interesting process of dividing fractions and solve all the questions from this exercise. Cross-check your solutions with NCERT Solutions for CBSE Class 7 Maths.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.5

Revise the concept of decimals and comparison of decimal numbers with NCERT Solutions for CBSE Class 7 Maths. These questions are popular in the MCQ category. Check out the CBSE Class 7 Maths notes for better clarity.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.6

Get a complete insight into the multiplication of decimal numbers with TopperLearning’s CBSE Class 7 Maths textbook solution.

Chapter 2 - Fractions and Decimals Exercise Ex. 2.7

Test your knowledge of the division of decimal numbers by solving this exercise. Check your solutions with NCERT Solutions for CBSE Class 7 Maths. TopperLearning’s video solutions are the best study companion to help you understand the method available at CBSE online Class 7.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 3 Data Handling

This chapter teaches data representation, data collection, organisation of data, representative values, arithmetic mean, mode of large data, median, use of bar graphs with choosing the scale, chance, and probability. TopperLearning study material helps in gaining a conceptual understanding for this chapter which will prove helpful in higher grades as well.

Chapter 3 - Data Handling Exercise Ex. 3.1

Understand the method of arranging and organising a given group of data with the help of NCERT Solutions for CBSE Class 7 Maths. The organised data helps in finding out the mean and range of the information provided. Solve all the questions and assess your solutions with CBSE Class 7 Maths textbook solution.

Chapter 3 - Data Handling Exercise Ex. 3.2

The mode of a set of observations is the observation that occurs most often. However, the median provides us with the middle observation. NCERT Solutions for CBSE Class 7 Maths helps in calculating mode and median for all the groups of data in this exercise.

Chapter 3 - Data Handling Exercise Ex. 3.3

Make use of a bar graph and figure out different information about the given group of data. Refer to the solutions of this exercise with NCERT Solutions for CBSE Class 7 Maths.

Chapter 3 - Data Handling Exercise Ex. 3.4

Get acquainted with chance and probability. How do we apply these concepts to a group of data? Get the answer to this query and more with NCERT Solutions for CBSE Class 7 Maths.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 4 Simple Equations

This chapter teaches how to solve equations. From moving a number from one side to another to solving an equation, to the final solution of an equation - everything you need to know about simple equations is covered in this chapter.

The terminologies and methods used in this chapter mark the foundation of an important concept in Mathematics that are applicable in the higher grades. Hence, make sure you practice enough with TopperLearning’s study material available at CBSE Class 7 Maths notes.

Chapter 4 - Simple Equations Exercise Ex. 4.1

Get to know the term “Equation” and understand the concept of using a variable in an equation in this exercise with the help of NCERT Solutions for CBSE Class 7 Maths. This is a basic concept that is utilised and will help you in higher grades too.

Chapter 4 - Simple Equations Exercise Ex. 4.2

CBSE syllabus for Class 7 Maths helps you learn the method of solving an equation and find the value of the variable in it. Practice all the questions and see their stepwise solutions. Refer to NCERT Solutions for CBSE Class 7 Maths for resolving doubts.

Chapter 4 - Simple Equations Exercise Ex. 4.3

Simplify complicated problems and tally your answers with NCERT Solutions for CBSE Class 7 Maths. These questions are often asked in the exams for 2-3 marks. Go through CBSE Class 7 sample paper 2020-21 for understanding the different kinds of questions that appear in your exams.

Chapter 4 - Simple Equations Exercise Ex. 4.4

Discover the applications of simple equations to practical solutions in terms of word problems. NCERT Solutions for CBSE Class 7 Maths assist you with every problem providing a detailed solution. Questions from this exercise are known to be asked for the 4 marks category. Check out CBSE Class 7 Maths sample paper for some important types of questions asked.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 5 Lines and Angles

This chapter discusses different types of angles at length. Topics such as elated angles, complementary angles, supplementary angles, adjacent angles, linear pair, vertically opposite angles, pairs of lines, intersecting lines, transversals, the angle made by a transversal, transversal of parallel lines and checking of parallel lines are discussed in this chapter.

Chapter 5 - Lines And Angles Exercise Ex. 5.1

Familiarise yourself with different types of angles and apply your knowledge to solve the questions from this exercise. Check your answers with NCERT Solutions for CBSE Class 7 Maths. Check out CBSE Class 7 sample paper 2020-21 for understanding various kinds of questions asked in exams.

Chapter 5 - Lines And Angles Exercise Ex. 5.2

NCERT Solutions for CBSE Class 7 Maths helps you with all the solutions from this exercise where angles are formed by parallel and intersecting lines. Assess your knowledge with tests available at CBSE Class 7 Maths.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 6 The Triangle and its Properties

This chapter focuses on the shape of a triangle. It explains how a triangle is a simple closed curve made of three line segments. It has three vertices, three sides and three angles. It covers the concepts of the median of a triangle, altitude of a triangle, exterior angle of a triangle and its property, angle sum property of a triangle, two special triangles - equilateral and isosceles, the sum of the lengths of two sides of a triangle, right-angled triangle and Pythagoras’ property.

Chapter 6 - The Triangle and its Properties Exercise Ex. 6.1

Learn the features of a triangle and answer questions related to it. Verify your answers with NCERT Solutions for Class 7 Mathematics and also refer to the explanation provided by our experts.

Chapter 6 - The Triangle and its Properties Exercise Ex. 6.2

Attempt questions about the exterior angle in a triangle. Use NCERT Solutions for Class 7 Mathematics to solve them with complete precision.

Chapter 6 - The Triangle and its Properties Exercise Ex. 6.3

The total measure of the three angles of a triangle is 180°. This property helps you find the measure of angles in a triangle. Attempt every problem and verify your answers with NCERT Solutions for Class 7 Mathematics.

Chapter 6 - The Triangle and its Properties Exercise Ex. 6.4

A triangle has three sides. Therefore, we have different types of triangles depending upon the measure of their sides. Learn more about types of triangles and solve problems related to them using NCERT Solutions for Class 7 Mathematics.

Chapter 6 - The Triangle and its Properties Exercise Ex. 6.5

Get an extensive understanding of triangles with another property explained in the CBSE Class 7 Maths. The sum of the lengths of any two sides of a triangle is greater than the third side. Utilise this property and solve question from this exercise. With NCERT Solutions for Class 7 Mathematics handy, verify your answers with step-wise solutions provided.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 7 Congruence of Triangles

Learn about the congruence of triangles and how two figures of the same shape and size are congruent. Other topics covered in this chapter are congruence of plane figures, congruence among line segments, congruence of angles, congruence of triangles, criteria for congruence of triangles and congruence of right-angled triangles.

Chapter 7 - Congruence of Triangles Exercise Ex. 7.1

Familiarise yourself with the term “congruence” and apply it to different geometric figures. Refer to NCERT Solutions for Class 7 Mathematics for step-wise solutions.

Chapter 7 - Congruence of Triangles Exercise Ex. 7.2

We have learnt so many properties of triangles, but is it possible to prove that two triangles are congruent? What are the criteria for the congruency of triangles? Refer to NCERT Solutions for Class 7 Mathematics for method wise solutions to the above questions. Practice numerous congruency questions with CBSE Class 7 sample paper 2020-21.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 8 Comparing Quantities

As the name suggests, this chapter deals with comparing quantities. It explains equivalent ratios, percentages, another way of comparing quantities, the meaning of percentages, converting fractional numbers to percentages, converting decimals to percentages, converting percentages to fractions or decimals in this chapter.

Chapter 8 - Comparing Quantities Exercise Ex. 8.1

Understand the method of using ratios for the comparison of the given quantities. Learn to apply the concept better with NCERT Solutions for Class 7 Mathematics. For more practice, refer to CBSE Class 7 Maths.

Chapter 8 - Comparing Quantities Exercise Ex. 8.2

Percentages are another way of comparison quantities. Use percentages to solve the questions from this exercise and compare the given quantities. Solutions to each of these problems are available at NCERT Solutions for Class 7 Mathematics. Get clarity on all kinds of questions with CBSE Class 7 sample paper 2020-21 and boost your scores.

Chapter 8 - Comparing Quantities Exercise Ex. 8.3

Make use of ratios and percentages in real-life situations. Refer to NCERT Solutions for Class 7 Mathematics and verify your solutions. These are the many most important questions available at CBSE online Class 7. TopperLearning’s study material prepares you in an organised manner for your examinations.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 9 Rational Numbers

Here, different types of rational numbers are discussed. It talks about positive and negative rational numbers, rational numbers on a number line, rational numbers in the standard form, comparison of rational numbers, rational numbers between two rational numbers and operations on rational numbers.

Chapter 9 - Rational Numbers Exercise Ex. 9.1

Get acquainted with rational numbers and solve some basic questions about them using CBSE Class 7 Maths textbook solution.

Chapter 9 - Rational Numbers Exercise Ex. 9.2

The next step after understanding rational numbers is to perform basic operations on them. Attempt these questions and refer to CBSE Class 7 Maths textbook solution for checking your solutions. Assess your knowledge with CBSE Class 7 sample paper 2020-21 to understand different kinds of questions asked in exams.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 10 Practical Geometry

In this chapter, we learn about the construction of a line parallel to a given line through a point, not on the line and the construction of different types of triangles.

Chapter 10 - Practical Geometry Exercise Ex. 10.1

Enjoy drawing these geometrical figures using the properties of lines and angles. Understand the method of construction of a line parallel to the given line through a point that is not on the line with the help of this exercise. Refer to NCERT Solutions for CBSE Class 7 Mathematics for steps of construction.

Chapter 10 - Practical Geometry Exercise Ex. 10.2

Refer to the detailed steps of construction of triangles using the SSS criterion with NCERT Solutions for CBSE Class 7 Mathematics.

Chapter 10 - Practical Geometry Exercise Ex. 10.3

NCERT Solutions for CBSE Class 7 Mathematics helps you with the stepwise wise construction of triangles using the SAS criterion.

Chapter 10 - Practical Geometry Exercise Ex. 10.4

Discover how to draw a triangle when you are provided with two of its angles and the length of one side included between them, also known as the ASA criterion. Follow these steps with NCERT Solutions for CBSE Class 7 Mathematics and score good marks in geometry questions.

Chapter 10 - Practical Geometry Exercise Ex. 10.5

Construct a right-angled triangle when the length of the leg and hypotenuse is given. Follow these steps in NCERT Solutions for CBSE Class 7 Mathematics and score higher marks easily.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 11 Perimeter and Area

Here, we learn about the concept of perimeter and how it is the distance around a closed figure, while the area is the part of a plane or region occupied by the closed figure.

Chapter 11 - Perimeter and Area Exercise Ex. 11.1

Establish relatability between the terms perimeter and area for a rectangle and square with CBSE Class 7 Maths textbook solution. Calculate the perimeter and area for rectangles and squares for the given problems of this exercise. Be rest assured as you can cross-check your solution with NCERT Solutions for CBSE Class 7 Mathematics.

Chapter 11 - Perimeter and Area Exercise Ex. 11.2

Calculate the area of a triangle and a parallelogram and verify all your solutions at CBSE Class 7 Maths textbook solution. These questions are calculation based and hence require more practice. Find more questions for your practice with TopperLearning’s tests and CBSE sample paper Class 7.

Chapter 11 - Perimeter and Area Exercise Ex. 11.3

Understand how the circumference of a circle and how the area of a circle is calculated with stepwise calculations in the CBSE Class 7 Maths textbook solution.

Chapter 11 - Perimeter and Area Exercise Ex. 11.4

Apply the formulations of finding areas and perimeters of different figures in real-life situations. Solve these questions and check your solutions with CBSE Class 7 Maths textbook solution.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 12 Algebraic Expressions

The algebraic terms like coefficients, like and unlike terms, monomials, binomials, trinomials, polynomials, addition and subtraction of algebraic expressions, finding the values of an expression, and more, are covered here.

Chapter 12 - Algebraic Expressions Exercise Ex. 12.1

CBSE Class 7 syllabus introduces Algebraic expressions and terminologies. Apply these concepts and solve the introductory exercise with CBSE Class 7 Maths textbook solution.

Chapter 12 - Algebraic Expressions Exercise Ex. 12.2

Simplify the given Algebraic Expression using basic operations. Find simple solutions to these complex =problems with the help of the CBSE Class 7 Maths textbook solution.

Chapter 12 - Algebraic Expressions Exercise Ex. 12.3

Learn to find the value of an equation by substituting a particular value in it with easy steps available in CBSE Class 7 Maths textbook solution. Practice more with TopperLearning’s weekly tests and CBSE sample paper Class 7.

Chapter 12 - Algebraic Expressions Exercise Ex. 12.4

We have seen earlier also that formulas and rules in mathematics can be written in a concise and general form using algebraic expressions in CBSE Class 7 syllabus. Make use of these patterns to solve the problems from this exercise and refer to the CBSE Class 7 Maths textbook solution for detailed solutions.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 13 Exponents and Powers

Some major topics that are covered in this chapter are exponents, multiplying powers with the same base, dividing powers with the same base, taking the power of a power, multiplying powers with the same exponents, dividing powers with the same exponents, the decimal number system and expressing large numbers in the standard form.

Chapter 13 - Exponents and Powers Exercise Ex. 13.1

Learn to express and simplify high order expression. CBSE Class 7 Maths textbook solution assists with detailed stepwise calculation and answers. Refer to TopperLearning MCQs and fill in the blank questions at the CBSE syllabus for Class 7 Maths for more practice.

Chapter 13 - Exponents and Powers Exercise Ex. 13.2

Explore laws of exponents and simplify the given questions with NCERT Solutions for CBSE Class 7 Mathematics. These questions are important even for higher grades so it is advised to take tests and explore to CBSE Class 7 Maths sample paper for more practice.

Chapter 13 - Exponents and Powers Exercise Ex. 13.3

Large numbers can be conveniently expressed using exponents. Understand how we can use the method of exponents to simplify large numbers in standard form with the help of NCERT Solutions for CBSE Class 7 Mathematics.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 14 Symmetry

This chapter is about symmetry. Symmetry means that one shape becomes exactly like another. Topics discussed in this chapter are line symmetry, lines of symmetry for regular polygons and rotational symmetry.

Chapter 14 - Symmetry Exercise Ex. 14.1

Find the axes of symmetry for the given figures in this exercise with a detailed explanation in NCERT Solutions for CBSE Class 7 Mathematics.

Chapter 14 - Symmetry Exercise Ex. 14.2

NCERT Solutions for CBSE Class 7 Mathematics helps you with all the solutions from this exercise. More questions and video solutions are available for better clarity of the concept in the CBSE Class 7 syllabus.

Chapter 14 - Symmetry Exercise Ex. 14.3

Improve your math skills and solve questions from this exercise by applying the concept of line symmetry and rotational symmetry. Verify your answers from NCERT Solutions for CBSE Class 7 Mathematics.

NCERT Solutions for CBSE Class 7 Mathematics Chapter 15 Visualising Solid Shapes

As the name suggests, this chapter deals in solid shapes and sizes. Shapes including plane figures and solids, faces, edges, vertices, nets for building 3-D shapes, drawing solids on a flat surface, oblique sketches, isometric sketches, and more, are covered here.

Chapter 15 - Visualising Solid Shapes Exercise Ex. 15.1

Learn the correct approach to solve problems based on faces edges and vertices of solid figures with the assistance of NCERT Solutions for CBSE Class 7 Mathematics. CBSE Class 7 Maths sample paper gives you a better understanding of what kind of questions you can expect in your exams.

Chapter 15 - Visualising Solid Shapes Exercise Ex. 15.2

How to draw a solid on a flat surface? Solve this query with NCERT Solutions for CBSE Class 7 Mathematics. Practice more NCERT exercises with video solutions and weekly assessments based on the CBSE syllabus for Class 7 Maths.

Chapter 15 - Visualising Solid Shapes Exercise Ex. 15.3

Learn more about solid shapes with this exercise and refer to CBSE Class 7 Maths solution for answers to every problem.

Chapter 15 - Visualising Solid Shapes Exercise Ex. 15.4.

You can easily score marks by visualising a solid shape correctly. All you require is a step-by-step explanation and solution on how to do so. CBSE Class 7 Maths solution aids you with all the solutions in an easy-to-understand manner for your practice.

## Why are NCERT solutions important?

CBSE Class 7 syllabus introduces crucial concepts that are helpful in laying a foundation for the higher grades. TopperLearning provides a complete package of study material to students, which helps them understand these crucial concepts with absolute clarity.

A team of skilled subject experts have prepared TopperLearning's CBSE online Class 7 notes. Students will not only understand the concepts but also enjoy the learning process. CBSE sample paper Class 7 and short tests assure proper assessment for the students. Video solutions are a quick resort for concept clarity. Doubt solver, "Undoubt", solves all kinds of doubts that blocks the mind of a student. Most Important Questions, objectives and free textbooks solutions provide all the reference material.

The entire package is one-stop solution for every need of a student.

## Benefits of NCERT Solutions Class 7 Maths

- An easy and comprehensive set of study materials
- Created by subject matter experts
- Modified according to the latest CBSE syllabus
- Helpful for quick revision
- Score more marks in the examination
- Free textbook solutions
- ‘Ask the Expert’ facility
- Improvement in marks

## CBSE Class 7 Maths Frequently Asked Questions

NCERT solutions provide answers to each and every textbook question, which is a good way to get acquainted with the chapter.

The topics and concepts that you will study now will come in handy in other competitive exams such as JEE, IAS and NDA.

Since Maths is an application-based subject, it cannot be memorised. Therefore, it is essential that you practice Maths every day, especially the difficult chapters.

The study material at TopperLearning is always available on the website and there is no restriction on accessing the study material. It is a portal that is active 24/7.

If you have any doubts regarding any topic, you can leave your doubt in the ‘Doubts and Solutions’ section. Your query will be answered within 24 hours by our experts.

Yes, you can refer to the deleted syllabus of CBSE Class 7. The curriculum for 2021-22 includes the deleted syllabus of CBSE Class 7. TopperLearning provides free textbook solutions for all the exercises of all the chapters from the CBSE syllabus for Class 7 Maths.

TopperLearning provides a complete solution for CBSE Class 7 science too.

You can refer TopperLearning’s CBSE Class 7 English notes. They are simple and easy to understand.

Yes, TopperLearning is one-stop solution for all your requirements. CBSE sample paper Class 7 provide you with sample papers for different subjects to practice and prepare for your exams.

Yes, it is quite easily possible to prepare for class 7 with CBSE Class 7 Maths solution. CBSE online Class 7 provides complete study material including video solutions, tests, most important questions, and more.