# NCERT solutions for class 7 Maths

NCERT Solutions for Class 7 Maths is a must for CBSE class 7 students. Maths is one such subject that requires constant attention. We at Physics Wallah have maths experts in our team. The students are provided with accurate, precise, and effective NCERT Solutions for Class 7 Maths. The team at Physics Wallah deeply understands the requirement of NCERT questions given in the textbook exercise for Class 7 Maths and its need. For all other subjects NCERT Solutions you can check out our full NCERT solutions prepared by experts.

We ensure you receive the optimum of all study material. Since maths is such a subject that requires extensive attention. The sole objective behind preparing this NCERT solution for Class 7 Maths is to make sure students score maximum marks in their examinations.

## NCERT Solutions for Class 7 Maths Chapters (Updated 2022-23) ### Chapter 1 Integer

Chapter 1 covers the study of integers. In the previous class, we learned about integers and integers. Now we will study more about integer, their properties, and operations. Likewise, addition and subtraction of integer, properties of addition and subtraction of integer, multiplication and division of integer, and properties of multiplication and division of integer.

 NCERT Solutions for Class 7 Maths Chapter 1 Integer Exercises Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4

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### Chapter 2 Fractions and Decimal

Chapter 2 of the NCERT textbook deals with Fractions and Decimals. In earlier classes, you learned about fractions, decimals, and addition and subtraction operations. We are now studying multiplication and division operations on fractions and decimals.

They are, likewise, multiplying a fraction by a whole number, multiplying a fraction by a fraction, division of whole number by a fraction, dividing a fraction by a whole number, multiplying a decimal by 10, 100, 100, etc. Other topics include multiplying decimals by a whole number, multiplying a decimal by a decimal, dividing decimals by 10, 100, 1000, etc., and dividing a decimal by a whole number.

 NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Exercises Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.7

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### Chapter 3 Data Handling

Chapter 3 of the NCERT textbook deals with data handling. In the previous class, you deal with different types of data. You have learned how to collect data, create tables, and put them in the form of bar graphs. In this chapter, we'll take the next step in learning how to do that. This chapter covers data collection, data organization, representative values, the arithmetic mean, the mode of large data, the median, using bar graphs for a different purpose, choosing a scale, chances, and probability.

 NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercises Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4

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### Chapter 4 Linear Equations

In chapter 4, Simple Equations of NCERT textbook, deals with the equation, solving an equation. When solving multiple equations, we learn to transpose a number, i.e., move it from one side to the other. We can transpose numbers instead of adding or subtracting them from both sides of the equations. Then we study the solution to the equation and the application of simple equations to practical situations.

 NCERT Solutions for Class 7 Maths Chapter 4 Linear Equations Exercises Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4

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### Chapter 5 Lines and Angles

This chapter is about lines and angles. This chapter includes related angles, supplementary angles, complementary angles, adjacent angles, linear pairs, vertically opposite angles, pairs of lines intersecting lines, transversal, angle subtended by a transversal, transversal parallelogram, control of parallelograms.

 NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercises Exercise 5.1 Exercise 5.2

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### Chapter 6 The Triangle and its Properties

Chapter 6 of the NCERT textbook deals with the topic of the Triangle and its properties. A triangle is a closed curve formed by three line segments. It has three vertices, three sides, and three angles. It includes the concepts of the median of a triangle, exterior angle of a triangle and its property, altitude of a triangle, angle sum property of a triangle, equilateral and isosceles, two special triangles and the sum of the lengths of two sides of a triangle, right-angled triangles, and the Pythagoras property.

 NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Exercises Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.5

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### Chapter 7 Congruence of Triangles

This chapter is about congruence of triangles. If two figures are the same shape and size, they are said to be congruent. Other related topics are congruence of plane figures, congruence between line segments, congruence of angles, congruence of triangles, criteria of congruence of triangles, and congruence of right triangles.

 NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Exercises Exercise 7.1 Exercise 7.2

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### Chapter 8 Comparing Quantities

Chapter 8 of the NCERT textbook deals with comparing quantities. Its related topics are equivalent ratios, percentages, another way of comparing quantities, the meaning of percentages, converting fractions to percentages, converting decimals to percentages, and converting percentage to fractions or decimals. Other interesting topics are having fun with estimates, interpreting percentages, converting percentages to how much, ratios to percentages, percentage increases or decreases, percentage gain or loss, a charge on borrowed money, or simple interest.

 NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Exercises Exercise 8.1 Exercise 8.2 Exercise 8.3

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### Chapter 9 Rational Numbers

Chapter 9 of the NCERT textbook deals with the topic of Rational Numbers. It covers positive and negative rational numbers, rational numbers on the number line, rational numbers in standard form, comparing rational numbers, rational numbers between two rational numbers, and operations on rational numbers.

 NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Exercises Exercise 9.1 Exercise 9.2

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### Chapter 10 Practical Geometry

Chapter 10 of the NCERT textbook deals with the topic of Practical Geometry. You know a number of shapes. You learned how to draw some of them in earlier classes. For example, you can draw a line of a given length, a line perpendicular to a given line, an angle, a circle, an angle bisector etc. Now you will discuss how to draw parallel lines and some types of triangles. Topics covered in this chapter are construction of a line parallel to a given line, construction of different types of triangles, through a point not on the line.

 NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercises Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.4 Exercise 10.5

### Chapter 11 Perimeter and Area

This chapter is of simple interest. In class 6, you already learned the plane figures' perimeters and the squares and rectangles' areas. A perimeter is a distance around a closed figure, while the area is the portion of the plane or region occupied by the closed figure. In this class, you will discuss about the perimeters and areas of several plane figures.

 NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Exercises Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4

### Chapter 12 Algebraic Expressions

NCERT Algebraic Expressions Chapter 12 deals with the terms of an expression, coefficients, like and unlike terms, monomials, binomials, trinomials, polynomials, addition and subtraction of algebraic expressions, finding the values ​​of an expression.

 NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercises Exercise 12.1 Exercise 12.2 Exercise 12.3 Exercise 12.4

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### Chapter 13 Exponents and Powers

Chapter 13 of NCERT textbook deals with the topic of Exponents and Powers. Exponents are products of rational numbers that are multiplied by themselves several times. Topics covered are laws of exponents, multiplication of powers with the same base, division of powers with the same base, exponentiation, multiplication of powers with the same exponents, division of powers with the same exponents, the decimal number system, expressing large numbers in standard form.

 NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercises Exercise 13.1 Exercise 13.2 Exercise 13.3

### Chapter 14 Symmetry

This chapter is about symmetry. Symmetry means that one shape becomes the same as another when you somehow move, rotate, flip, or shift it. For the two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation than the first. A single object, such as a face, can also be symmetrical. Topics in this chapter are lines of symmetry for regular polygons, rotational symmetry, line symmetry, and rotational symmetry.

 NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Exercises Exercise 14.1 Exercise 14.2 Exercise 14.3

### Chapter 15 Visualising Solid Shapes

Chapter 15, Visualization of Solid Shapes of NCERT Textbook, deals with plane figures and solids, faces, edges, vertices, meshes for creating 3D shapes, drawing solids on a flat surface, oblique sketches, and isometric sketches. Some other concepts described in this chapter are visualization of solid objects, viewing different parts of a body, then another way is a shadow play.

 NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Exercises Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.3

### Why NCERT solutions for Class 7 Maths are important?

Since it was very crucial to cover every part of the syllabus, NCERT Solutions for Class 7 Maths are prepared very curatively. Utmost care has been taken to make sure, students receive the latest study material. The NCERT Solutions for class 7 Maths is bifurcated into various segments, to make learning easy. Every topic is provided with a sufficient number of examples in NCERT Solutions for Class 7 Maths.

Students who are dedicatedly ready to study for their examination can go through this study material provided. Since the syllabus for Maths is very wide, it leads to confusion among the students. The team at Physics Wallah has dedicatedly prepared NCERT Solutions for class 7 Maths with segments of various chapters.

We have explained each and every question in a detailed manner in the NCERT Solutions for Class 7 Maths prepared by our experts. We make sure students have a holistic approach to solving questions provided in NCERT Solutions for class 7 Maths study material provided by us.

We have devised this approach, which higher efficiency among the students while solving questions. Since our team comprises experts having years of experience, there are negligible chances of errors. Since students need to waste a lot amount of time, in order to learn from an expert teacher.

The team at Physics Wallah is there with NCERT Solutions for class 7 Maths right from experts at your comfy home.

### How to Study NCERT solutions for class 7 Maths effectively?

The step-by-step solution is provided to each and every numerical ensuring students can score the topmost marks. The experience our teachers have earned through their teaching is helpful in NCERT Solutions for class 7 Maths preparation. We have also provided shortcuts and tricks in NCERT Solutions for Class 7 Maths to ensure students lose no marks.

These notes are highly effective in terms of concept clearing. The right approach to tackle sums is provided in our study material is provided. The expert faculties at Physics Wallah have been rightly available to provide guidance. Students can easily clear their doubts by just contacting us.

### Why Physics Wallah is best for NCERT solutions for class 7 maths?

We have provided a set of important questions in NCERT Solutions for class 7 Maths study material. Students can easily download this study material which is completely free. All the students can access these NCERT Solutions for Class 7 Maths by creating an account with us.

All the NCERT Solutions for Class 7 Maths are provided in Pdf format, which can be accessed on multiple devices. We have made the clearest and legible NCERT Solutions for class 7 Maths notes for our students.

### Chapters and sub-topics of NCERT Class 7 Maths

NCERT textbook for class 7 Maths is one of the highly recommended textbooks to build your foundation in class 7 maths. It covers lots of concepts and their applications that are used in higher Mathematics in upcoming classes. Physics Wallah Academic team not only uploaded NCERT solutions for class 7 but also uploaded all other recourses which are required to build a solid foundation for CBSE exams and competitive Maths exams like RMO and other Olympiads exams conducted for class 7 Maths.

Find the list of NCERT Textbook chapters and their subtopics

• Chapter 1: Integer
• Chapter 2: Fractions and Decimal
• 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

### Tips to score Good Marks in Class 7 Maths

Class 7 Maths is a bit different as compared to previous classes it required focused studies and good planning. Follow the following points to score Good marks in class 7 maths.

• Start your preparation with the NCERT textbook 1st chapter.
• A combination of NCERT textbooks with solutions can enhance your learning of maths subjects in class 7.
• What you need to do is make a proper note for each and every chapter of class 7 maths if possible try to prepare two different types of notes for class 7 maths one which consists of detailed theory mentioning all the steps and concepts and the second consist of important formula use in the chapter. This will help you to learn fast and will help you with effective revision.
• Class 7 maths also required additional practice of maths numerical and need good quality of notes for that you can trust on Physics Wallah study material we have created a detailed class 7 maths notes with added numerical to have a good practice.

### Right Approach to use NCERT Solutions for Class 7 Maths

NCERT solutions for class 7 Maths help you in understanding your topics well and are ideal for thorough and comprehensive studying to develop a clear concept. Your preparation should be followed by taking down important points so that it becomes easy to revise during exams. This comprehensive learning would not only assure good marks but also give a better understanding of every concept.

Read line by line NCERT class 7 maths textbook makes notes for important points take help from your teachers and friend to develop concepts always remember that maths is the subject of concept and its application in questions so focus on developing the concept.

Read the theory carefully and try to apply it to the questions.

Solving questions is the best way to have good concept clarity in maths so one must follow a few important steps while solving the questions of maths:

• Step 1: Read the theory given in the NCERT book make sure you have understood the concept and try to make detailed notes of the chapter and if possible marks the all-important formula. You can make a separate note for the formula used in the particular chapter.
• Step 2: In this step, you learn and try to remember the formula used in the chapter read and write the all-important formulas use in the chapter.
• Step 3: Solving questions is the most important step for your class 7 maths so start solving the NCERT text Book exercise. Don’t just jump to the NCERT solutions for class 7 maths. Try at least three to four times to solve each and every question of NCERT which are difficult ones if still you are unable to get the solutions now you can take the reference of NCERT solutions for class 7 Maths.

For the additional practice of the chapter, you can read the additional theory of class 7 maths given in Physics Wallah class 7 sections and try to solve the objective and subjective questions given in class 7 maths. This way your foundations and interest in class 7 maths will increase a lot.

Q1. Which Book is best for CBSE Class 7?

Ans. We all know that Class 7th acts as a base for all your future education that you will get as a student. So start with the right study material that is best for you. NCERT is sufficient for 7th-grade students. Try to cover NCERT textbooks in-depth and use them as references in preparation.

Q2. Why NCERT Solutions for Class 7th Maths is important?

Ans. The NCERTcsolutions for Class 7th Maths will help you to understand the subject better. And it has been observed that CBSE tends to ask the NCERT Problems more often if the not same then similar problems as that if the NCERT Questions. So if you fix it, you can easily answer.

Q3. Which is the best free NCERT solution for Class 7th math?

Ans. Well, this question answer totally depends on you where or From which solution you understand better. Here at Physics Wallah, we have one of the best and most experienced teachers team who is making NCERT solutions for class 7th maths. So You can find NCERT solutions for class 7th Math by referring to the direct links available on our site. Use these as a reference and prepare for your exam.

Q4. How many chapters there are in the Class 7th Math book?

Ans. In the Class 7th NCERT book, there are a total of 15 chapters. Here they are - 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.

Q5. How to do practice for a class 7th Math exam

Ans. As we all know, it is very important to build a solid foundation in mathematics from the very beginning. Therefore, Mathematics 7th Class is the first door to advanced mathematics. At this stage, you will learn about a few important ideas and their application. Also, with the help of Class 7 NCERT Solutions, you will be able to master all the problems given in practice and also strengthen your problem-solving skills.

Q6. Why should you choose Physics Wallah for NCERT Solutions for Class 7 Maths?

Ans. Physics Wallah is known for its reliable study tools and resources for its commitment to helping students learn faster and better. Here you will find study material for class 7th. We are providing NCERT solutions for subjects such as Mathematics, English, Science and Social Sciences, and Hindi. These solutions will help you improve your knowledge of and mastery of each topic. You will be able to clear up all your doubts very easily based on the questions and answers that will improve your exam preparation.