Here we are providing **NCERT Solutions for Class 7 Maths** chapter-wise. All the solutions are up-to-date. One-click PDF Download. If you are looking for **NCERT Solutions for Class 7 Maths,** you have come to the right place. Experienced Teachers have created detailed CBSE 7th class maths textbook solutions. We provide that are precise to the point and absolutely error-free. NCERT Class 7 maths solutions include all the questions provided as per the new revised syllabus in NCERT Class 7 Maths textbook.

**NCERT Solutions for Class 7 Maths** are provided here. Practicing NCERT Solutions is the ultimate need for students who intend to score good marks in the Maths examination. Students facing trouble in solving problems from the NCERT textbook of Class 7 can refer to our free NCERT Solutions provided below.

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**NCERT Solutions for Class 7 Maths – Free PDF Download**

**Integers****Fractions and Decimals****Data Handling****Simple Equations****Lines and Angles****The Triangle and Its Properties****Congruence of Triangles****Comparing Quantities****Rational Numbers****Practical Geometry****Perimeter and Area****Algebraic Expressions****Exponents and Powers****Symmetry****Visualizing Solid Shapes**

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### **NCERT Solutions for Class 7 Maths – Chapter-wise**

#### Class 7 Maths Chapter 1 Integers

After an introduction to whole numbers in class 6, this chapter deals with integers, both positive and negative, to give the students a feel of the real numbers. This chapter gives a new perspective to students, in terms of the properties and the importance of integers. The exercises are made to ensure that the students grasp the whole concept thoroughly.

- 1.1 Introduction
- 1.2 Recall
- 1.3 Properties Of Addition And Subtraction Of Integers
- 1.4 Multiplication Of Integers
- 1.5 Properties Of Multiplication Of Integers
- 1.6 Division Of Integers
- 1.7 Properties Of Division Of Integers

#### Class 7 Maths Chapter 2 Fractions and Decimals

This is not exactly a new concept, rather, a further exploration of the old concepts. The chapter deals with the properties of fractions and decimals, and the operations on the same. They also deal with the portrayal of fractions and decimals on the number line, and their expansions and subtraction.

- 2.1 Introduction
- 2.2 How Well Have You Learnt About Fractions?
- 2.3 Multiplication Of Fractions
- 2.4 Division Of Fractions
- 2.5 How Well Have You Learnt About Decimal Numbers
- 2.6 Multiplication Of Decimal Numbers
- 2.7 Division Of Decimal Numbers

#### Class 7 Maths Chapter 3 Data Handling

This chapter can be considered as the first step towards statistics, as it deals with data accumulation, data interpretation, and plotting, keeping up with real-life examples. The chapters also teach how to make a few deductions from the accumulated data. The exercises are kept very close to real-life examples, and thus, practicing the same gives a better feel of the same.

- 3.1 Introduction
- 3.2 Collecting Data
- 3.3 Organisation Of Data
- 3.4 Representative Values
- 3.5 Arithmetic Mean
- 3.6 Mode
- 3.7 Median
- 3.8 Use Of Bar Graphs With A Different Purpose
- 3.9 Chance And Probability

#### Class 7 Maths Chapter 4 Simple Equations

As the name suggests, this chapter deals with the formulation and applications of simple equations. From setting up simple equations to solving them, this chapter explores the theory of equations thoroughly. The problems have been extensively discussed in the solutions.

- 4.1 A Mind-Reading Game!
- 4.2 Setting Up Of An Equation.
- 4.3 Review Of What We Know.
- 4.4 What Equation Is?
- 4.5 More Equations.
- 4.6 From Solution To Equation.
- 4.7 Applications Of Simple Equations To Practical Situations.

#### Class 7 Maths Chapter 5 Lines and Angles

The first chapter of geometry in Class 7, lines and angles starts with the fundamental definitions of line and angle. The chapter will cruise through the concepts of parallel lines, and the associated angles like the alternate interior angles, corresponding angles, vertically opposite angles. This fairly easy chapter is further made interesting with the help of exercises, and the solutions justify the same effectively.

- 5.1 Introduction.
- 5.2 Related Angles.
- 5.3 Pairs Of Lines.
- 5.4 Checking For Parallel Lines.

#### Class 7 Maths Chapter 6 The triangle and its properties

The second chapter of geometry deals with triangles and their properties. This chapter talks about the types of triangles, the angle sum property, the medians and altitudes, and the Pythagoras theorem. The students will get a feel of what triangles are in general, and the specific applications of the Pythagoras theorem in this chapter.

- 6.1 Introduction.
- 6.2 Medians Of A Triangle.
- 6.3 Altitudes Of A Triangle.
- 6.4 Exterior Angle Of A Triangle And Its Property.
- 6.5 Angle Sum Property Of A Triangle.
- 6.6 Two Special Triangles: Equilateral And Isosceles.
- 6.7 Sum Of The Lengths Of Two Sides Of A Triangle.
- 6.8 Right-Angled Triangles And Pythagoras Property.

#### Class 7 Maths Chapter 7 Congruence of Triangles

After the general introduction of triangles in Chapter 6, the seventh chapter deals with the specific property of congruence of triangles. The chapter covers all the congruence criteria, and deal with different kinds of problems. The solutions discuss the congruence criteria extensively, using alternative approaches wherever possible.

- 7.1 Introduction.
- 7.2 Congruence Of Plane Figures.
- 7.3 Congruence Among Line Segments.
- 7.4 Congruence Of Angles.
- 7.5 Congruence Of Triangles.
- 7.6 Criteria For Congruence Of Triangles.
- 7.7 Congruence Among Right-Angled Triangles.

#### Class 7 Maths Chapter 8 Comparing Quantities

This chapter can be safely assumed to be one of the most application-oriented chapters in the whole Class 7 Mathematics syllabus. As the name suggests, this chapter gives the tool to measure and compare quantities. The tools are primarily percentage, ratios, profit and loss, and interest. The chapter comes in handy in all folds of life, as the calculations learned here are the ones used in the real world the most.

- 8.1 Introduction.
- 8.2 Equivalent Ratios.
- 8.3 Percentage – Another Way Of Comparing Quantities.
- 8.4 Use Of Percentages.
- 8.5 Prices Related To An Item Or Buying And Selling.
- 8.6 Charge Given On Borrowed Money Or Simple Interest.

#### Class 7 Maths Chapter 9 Rational Numbers

After discussing integers extensively in the first chapter, this chapter comes back to the numbers, namely rational numbers. The chapter deals with the definitions and the properties of rational numbers.

- 9.1 Introduction
- 9.2 Need For Rational Numbers.
- 9.3 What Are Rational Numbers?
- 9.4 Positive And Negative Rational Numbers.
- 9.5 Rational Numbers On A Number Line.
- 9.6 Rational Numbers In Standard Form.
- 9.7 Comparison Of Rational Numbers.
- 9.8 Rational Numbers Between Two Rational Number.
- 9.9 Operations On Rational Numbers.

#### Class 7 Maths Chapter 10 Practical Geometry

This chapter deals with the portrayal of geometry on paper, in terms of the construction of lines and angles. This is a fairly simpler chapter, that only requires a set procedure to be followed while going through constructions.

- 10.1 Introduction
- 10.2 Construction Of A Line Parallel To A Given Line, Through A Point Not On The Line.
- 10.3 Construction Of Triangles.
- 10.4 Constructing A Triangle When The Lengths Of Its Three Sides Are Known (SSS Criterion)
- 10.5 Constructing A Triangle When The Lengths Of Two Sides And The Measure Of The Angle Between Them Are Known. (SAS Criterion)
- 10.6 Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)
- 10.7 Constructing A Right-Angled Triangle When The Length Of One Leg And Its Hypotenuse Are Given (RHS Criterion).

#### Class 7 Maths Chapter 11 Perimeter and Area

This chapter brings in the mensuration part of the syllabus. It deals with the areas and perimeters of all the important shapes in Mathematics. The chapter is very simple, without the introduction of any complex shapes.

- 11.1 Introduction.
- 11.2 Squares And Rectangles.
- 11.3 Area Of A Parallelogram.
- 11.4 Area Of A Triangle.
- 11.5 Circles.
- 11.6 Conversion Of Units.
- 11.7 Applications.

#### Class 7 Maths Chapter 12 Algebraic Equations

This chapter deals with converting simple mathematical statements into algebraic equations and using them to solve certain problems, using the principles of algebra. The mathematical statements are closely related to some of the real-life examples, where algebra can actually be used. The exercises make it double the fun.

- 12.1 Introduction.
- 12.2 How Are Expressions Formed?
- 12.3 Terms Of An Expression.
- 12.4 Like And Unlike Terms.
- 12.5 Monomials, Binomials, Trinomials And Polynomials.
- 12.6 Addition And Subtraction Of Algebraic Expressions.
- 12.7 Finding The Value Of An Expression.
- 12.8 Using Algebraic Expressions – Formulas And Rules.

#### Class 7 Maths Chapter 13 Exponents and Powers

This chapter deals with the introduction to exponents, the rules of multiplication and division of exponents, the power of a power, decimal system, and the expression of very large numbers into the Standard Form, or the Scientific Notation.

- 13.1 Introduction.
- 13.2 Exponents.
- 13.3 Laws Of Exponents.
- 13.4 Miscellaneous Examples Using The Laws Of Exponents.
- 13.5 Decimal Number System.
- 13.6 Expressing Large Numbers In The Standard Form.

#### Class 7 Maths Chapter 14 Symmetry

This chapter gives a perspective of symmetrical shapes to the students. Symmetry is exploited extensively by craftsmen and designers to plan out intricate design patterns. This chapter on symmetry is to give the students the general idea of symmetry in the world.

- 14.1 Introduction: Symmetry
- 14.2 Lines Of Symmetry For Regular Polygons.
- 14.3 Rotational Symmetry.
- 14.4 Line Symmetry And Rotational Symmetry.

#### Class 7 Maths Chapter 15 Visualising Solid Shapes

This chapter deals with the visuals of geometry, by explaining the various geometrical shapes that are incorporated in designing the everyday objects around us. This chapter deals with both plane figures as well as solid shapes.

- 15.1 Introduction: Plane Figures And Solid Shapes.
- 15.2 Faces, Edges, and Vertices.
- 15.3 Nets For Building 3-D Shapes.
- 15.4 Drawing Solids On A Flat Surface.
- 15.5 Viewing Different Sections Of A Solid.

### **NCERT Solutions for Class 7 Maths – Details**

Maths is one such subject that is still is a nightmare for both parents and students. Rather than encouraging the child to self-study, parents just opt for tuition classes. But, be it school or tuition no one going to solve each and every answer for your child. Then, what’s the solution.

The answer to this problem is right in front of you. ** NCERT solutions for class 7 Maths **PDF, which you can either download or view here as an image. But for that don’t forget to bookmark this page and if you like it share it with your friends as well.

Students start getting stressed up when moving from class V to VI. As the syllabus is drastically changed, many new concepts are introduced. If you are not sound in your mathematics concepts right from the beginning then you may feel difficulty in class VII and higher classes as well. So, it’s very important to remain sound with all the fundamentals, formulas and most importantly practice them well.

**NCERT Solutions for Class 7 Maths – Information **

All the 15 chapters of NCERT Maths class 7 encapsulate the basics of mathematics such as Integers, fractions, equations, and a little introduction to algebra. As all these chapters are interconnected with higher classes as well, you need a solid practice of all concepts.

For securing good marks in the exam it is important to practice all the questions well especially the back exercise and the examples. Our solution book explains each and every step very diligently and in an interactive manner. The language used is similar to the NCERT books and the steps are as per the CBSE marking scheme. It also helps the students to know the right approach towards step marking and framing the answer according to that.

The rules related to the congruency of triangles such as SSS, SAS, etc should be very clear in a student’s mind. Our book effectively explains how to reach a conclusion. We have completely solved every question till the end. So that if a student wants to check where he/she has gone wrong, they can refer the solutions.

**FAQs on NCERT Solutions for Class 7 Maths**

**How can I score good marks in the Maths in Class 7?**Go through the Concepts thoroughly and prepare as per the topics by using NCERT Solutions. Make sure you develop a proper preparation strategy to clear the Class 7 Exam with ease.

**Which is the best reference book for Class 7 Maths?**For basics, NCERT Textbooks prescribed by the CBSE Board are more than enough to score better grades in the Class 7 Maths Exam.

**Why are NCERT Solutions for Class 7 Maths important?**Class 7 Maths NCERT Solutions are prepared by experts and they give you step-by-step solutions to understand the problems better. They can be quite handy during your preparation.

**How to download NCERT Solutions for Class 7 free?**Aspirants can download the NCERT Solutions for Class 7 free of cost from our site. Make use of them as a reference and aid your preparation.

**What are the Chapters contained in the NCERT Solutions for Class 7 Maths?**You can go through the Chapter List for the NCERT Class 7 Maths Solutions by referring to our page. Refer to the topics under each chapter and plan your preparation accordingly.

**Where can I get NCERT Solutions for Class 7th Maths?**You can get NCERT Solutions for Class 7th Maths by referring to our page. Access the direct links to view or download and use them as a reference during your preparation.

The website has been designed especially to look into the needs of students and of teachers as well. Apart from NCERT books we also provide solutions for top-selling mathematics books such as RD Sharma, RS Aggarwal, etc. Our website serves as a single-stop destination for all textbook solutions.

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