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ncertsolutionsbook · 6 years ago

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NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 maths covers all exercise questions given in the CBSE textbook. You can download this as free pdf from this page. Our best Mathematics master teachers have reviewed all the class 10 maths ncert solutions of exercise questions that will help you solve all the NCERT class 10 maths questions without any problem. We at Learncbse provide free PDF solutions for NCERT maths class 10 for your ease. You can also share the link of our Learncbse website with your classmates so that they can also download CBSE class 10th math NCERT solution. At any point of time, if you have any doubt while going through the class 10 maths NCERT solutions, The online classes will be conducted by one of our best mathematics teachers. You can even talk to the tutor as you would in a normal tuition class.

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NCERT Solutions for Class 10 Maths - Free PDF Download Class 10 being a whole new experience for you as it will be the very first time when you will be appearing for the board exams. Speaking of which, a thorough knowledge of all the chapters along with NCERT Solutions for Class 10 Maths can really help you to understand the subject better in less time. Below given are the chapters and the topics and exercises entailed in each of them. Scroll down to get well-versed with each and every chapter of CBSE Class 10 Maths.

Chapter 1 – Real Numbers

NCERT Class 10 Math Chapter 1, Real Numbers, is the extension of the topics learnt in 9th class. Sections 1.2 and 1.3 of this chapter contains some very important properties of positive integers, namely Euclid’s division algorithm and the Fundamental Theorem of Arithmetic. Furthermore, you will be revisiting Irrational Numbers in section 1.4 whereas Revisiting Rational Numbers and Their Decimal Expansions will be included in Section 1.5. Euclid’s division algorithm has a lot to do with divisibility of integers. It has plethora of applications associated with the divisibility properties of integers. NCERT Class 10 Maths Chapter 1, Real Numbers will be highly beneficial to compute the HCF of two positive integers.

Chapter 2 - Polynomials

Polynomials has total of four exercises however the last exercise is optional. In the first exercise, you need to find zeroes of polynomials p(x). In the second exercise, there are two questions. You have to verify the relationship between the zeroes and the coefficients in the first, while in the second, you have to find a quadratic polynomial. The third exercise has a total of five questions in which you have to do division of polynomials and obtain zeroes of polynomials. Then comes the optional exercise which has five questions in which you need to find zeroes of polynomials.

Chapter 3 - Pair of Linear Equations in Two Variables

There is an introduction part in the beginning of this chapter explaining the concepts of Linear equations in two Variables. You will learn some further complex topics while revising concepts that you have learned in class 9. This chapter has a total of seven exercises in which the last exercise is optional again. You will see three world problems given in the first exercise. In the second exercise, there are a total of seven questions. The third exercise has three questions. The fourth exercise has two questions. The fifth exercise has a total of` five questions in which you have to solve the pair of linear equations through various methods given. The sixth exercise has two questions. The last exercise is optional. Some important topics covered in this chapter are graphical representations, Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations, Graphical Method of Solution of a Pair of Linear Equations, Elimination Method, Substitution Method, Cross-Multiplication Method and Equations Reducible to a Pair of Linear Equations in Two Variables.

Chapter 4 - Quadratic Equations

You will study quadratic equations and number of ways to find their roots. You will also get to learn some applications of quadratic equations in our daily life situations. There is a total of four exercises in this chapter. The first exercise has two questions, in the first you will need to find check whether equations are quadratic equations or not while in the second you have to convert world problem into quadratic equations. You need to find the roots of quadratic equations by factorisation in the second exercise. You will be finding the roots of quadratic equations in the third exercise also. The fourth exercise has five questions based on finding the roots. Solution of a Quadratic Equation by Completing the Square, Solution of a Quadratic Equation by Factorisation, and Nature of Roots are the main topics studied in this chapter.

Chapter 5 - Arithmetic Progressions

Arithmetic Progressions, chapter 5 of Class 10 Maths, deals with an introduction to Arithmetic Progression with the help of simple daily life examples and gradually deals with the topics entailed and their complexities. Four exercises are given in this chapter divided into various questions in which we have to find the term. Overall, you will learn how to find the nth terms and the sum of n consecutive terms, and in turn use the acquired knowledge in solving some daily life problems.

Chapter 6 - Triangles

There are six exercises in chapter 6, Triangles, including one optional having different set of questions based on the properties of triangles. This chapter has a total of 9 theorems and is very important for all the students of class 10 Maths for their class 10 Board exam.

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Chapter 7 - Coordinate Geometry

A total of four exercises are given in the chapter. The questions are based on finding the distance between the two points whose coordinates are provided and area of a triangle formed by three given points.

Chapter 8 - Introduction to Trigonometry

This chapter has a total of four exercises comprising of various questions mainly on finding trigonometric ratios of the sides of a right triangle with respect to the acute angles of that triangle, called trigonometric ratios. Trigonometric Ratios, Trigonometric Ratios of Specific Angles, Trigonometric Identities and Trigonometric Ratios of Complementary Angles are the main topics you will learn in this chapter.

Chapter 9 - Some Applications of Trigonometry

In this chapter, you will be studying about some very interesting ways in which trigonometry is uded in the daily life around you. This chapter has only one exercise and the questions of which are based on the practical applications of trigonometry.

Chapter 10 - Circles

Circles has just two exercises. The first exercise contains basic questions, while the second has various questions in which you have to prove the given equations.

Chapter 11 - Constructions

In this chapter, there are two exercise where you have to draw various constructions such as division of line segments, construction of Tangents to a Circle and the questions are based on them.

Chapter 12 - Areas related to Circles

There are three exercises that cover all the questions of the area of a circle and finding the areas of two special ‘parts’ of a circular region.

Chapter 13 - Surface Areas and Volumes

In this chapter, there are five exercises and all of them will deal with the problems of finding areas and volumes of different solids such as cube, cuboid and cylinder.

Chapter 14 - Statistics

You will see a total of four exercises in this chapter. The questions will be based on finding mean, median and mode from ungrouped data to that of grouped data. You will also be solving questions related to cumulative frequency, how to draw cumulative frequency curves and the cumulative frequency distribution topics.

Chapter 15 - Probability

Out of the two exercise in this chapter, one is optional. The questions are based on finding the probability of getting a situation mostly on coins and dice.

Why Learncbse.in

Learncbse.in NCERT Solutions for Class 10 Maths enables you to understand all the basic & advance level concepts after solving each & every exercise question. Our Maths teachers especially focus on clearing out your concepts and providing you with a thorough understanding of all the topics. You are taught on a one-to-one basis by our most dedicated teachers. We at Learncbse.in don't believe in just recorded lectures as they don't prove helpful in solving doubts related to any of the book solutions.

To assess your progress on a regular basis, you are tested by our maths tutors at a definite interval of time. The results are shared with your parents to keep them on the same page as well. Another benefit of Learncbse.in is that you get to choose the pace of the learning of the lesson and the timing of the live tutoring session. The lesson plan is customized according to your requirements. The live sessions are also recorded and are available free of cost to all the students and their parents later for review and revision purposes. Another biggest advantage of studying with Learncbse.in is that you can choose to study class 10 maths ncert solutions either on your PC or through your Android mobile devices after downloading our Instant doubt solving app! You can either join us as a regular student or contact us whenever you have doubts and want to prepare for your tests or examinations! We want our NCERT solutions for class 10 maths to prove highly beneficial for you!

There are several ways with which you can avail the benefits of our NCERT Class 10 Maths Solutions. Let’s see what they are after a brief description. Stepping into Class 10 is the best experience of your life as you will be experimenting and facing new things which might appear very exciting to you. As mentioned already that it will be the first time in your life when you will be appearing for the class 10 board exams. Maths is counted among the most dreadful subjects which is feared by a lot of the students. This is the reason why along with NCERT Solutions for class 10 Maths, we have provided the detailed chapter-wise content so that you face no problem while solving the tricky questions of class 10 Maths. Students are advised to keep the Maths NCERT Solutions class 10 handy so that they can prepare short notes that are highly beneficial for class 10 Maths exam. You can include important formulas and theorems and make short notes of it. Chapters like Coordinate Geometry and Constructions need undivided attention which can be gained by solving NCERT Solutions for class 10 Maths and going through the root cause of each and every problem you are facing problem with. We wish you all the best for your journey along with the preparation of Class 10 Maths and good fortune to all your endeavours.

#NCERT Solutions #class 10 maths #learncbse

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vistaslearning · 3 years ago

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entrancei0012 · 4 years ago

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class 9 maths

The class 9 maths study material is available in PDF format which can be easily downloaded from our site. One can also access a very specific and examination focused strategy for class 9 maths by just simple signup at Entrancei. The sole idea has been to create a most accurate and detailed solution for class 9 maths that is free of cost. The experienced teachers at Entrancei have very extensively revealed the complete class 9 maths content. They have completely made sure all that is provided is important with respect to examinations. The class 9 maths solutions can be easily utilized for scoring good marks as one can reliably practice form them.

All the class 9 maths notes prepared as per the guidelines of CBSE Syllabus and guidelines. One can also go through test services for class 9 maths as it will help in gauging out the overall progress. The choosing union the class 9 maths optimum solutions helps in acing the students with the atmosphere of examination.

As general pattern, the class 9 maths should be taken very seriously as it helps in building strong concepts for further boards in 10th. The completecategorization of the syllabus of class 9 maths has been done in chapters, which helps students to easily go through it.

Ø Chapter 1: Number systems

This chapter throws light upon number lines and how effectively they can be used. The class 9 maths solutions provided helps the students regarding laws of integral and rational powers of real numbers.

Ø Chapter 2: Polynomials

The class 9 maths solutions to this unit give a vivid explanation about polynomials and their detailed terminologies. One will be acknowledged with various types of polynomials such as linear, Constant, quadratic and cubic polynomials.

Ø Chapter 3: Coordinate Geometry

This chapters in class 9 maths help the students in understanding the concepts of Cartesian place and coordinates.

Ø Chapter 4: Linear Equations in two Variables

This chapter in class 9 maths helps the students in understanding the equations presented in two variables. Plotting the equations on graph has been explained in a very detailed format in class 9 maths solutions provided.

Ø Chapter 5: Introduction to Euclid’s Geometry

This chapter of class 9 maths throws minor lights upon how Indian history is associated with Geometry followed in the world. One will be explained regarding the geometry through axiom, Postulates, and Theorems of class 9 maths in detailed format.

Ø Chapter 6: Lines and Angles

The chapter as lines and angles is generally asked as theorems and postulates in class 9 mathsexaminations. The level of difficulty is very minor compared to other units.

Ø Chapter 7: Triangles

In this chapter of class 9 maths, you will study regarding the congruence of triangles and their associating theorems. This chapter of class 9 maths has various properties such as inequalities and properties in triangles.

Ø Chapter 8: Quadrilaterals

This chapter of class 9 maths comprises of only one theorem as proof. Questions asked in this chapter are relatively very easy.

Ø Chapter 9: Areas of Parallelograms and Triangles

One will be brought to the note of areas in geometrical shapes. The examples of the median can be used in various examples of this in class 9 maths of chapter.

Ø Chapter 10: Circles

This chapter of class 9 maths gives brief insights about subtended angle chord, equal chords, Arc of the circle, cyclic quadrilaterals. This detailed solution of theorems based on triangles, Quadrilaterals, and circles are based in this chapter.

Ø Chapter 11: Constructions

This chapter throws light upon bisecting and creating line segments to angles and lines. The student’sclass 9 maths would be learning the creation of triangles with different properties and different base angles.

Ø Chapter 12: Heron’s formula

This chapter of class 9 maths comprises of only three exercises. This chapter givesan extension to the application of heron’s formula in polygons and quadrilaterals and triangles.

Ø Chapter 13: Surfaces Areas and Volumes

The students need not be introduced with this topic as they well studied the mensuration in their earlier classes. One would be acknowledged with volumes of cubes, cylinders, spheres, cones, and the hemisphere’s in their class 9 maths syllabus.

Ø Chapter 14: Statistics

The statistics chapter of class 9 maths is like a simple method of collection of data in different aspects. In total, this chapter of class 9 maths helps one to find the measure of central tendency, mean, median and mode of any raw data provided.

Ø Chapter 15: Probability

With only about 1 exercise in class 9 maths, this chapter is very easy. This is based on observation and frequency of day to day examples.

Why choose Entrancei

There might be times when students are stuck with exercises, so there comes the team of Entrancei with an innovative solution to class 9 maths students. The students can any time give a call in order to get their doubts resolved associated with class 9 maths.

#class 9 maths

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ncertsolutionsmath · 4 years ago

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Download NCERT Solutions for Class 8 Maths Chapter Wise

NCERT Solutions for Class 8 Maths incorporates all the inquiries gave in the NCERT course reading that is endorsed for Class 8 as per the CBSE Board. The schedule given by the CBSE for all the classes is totally founded on the NCERT educational plan. Henceforth, planning of tests utilizing the NCERT Solutions will give understudies a favorable position of scoring admirably.

My Way Teaching NCERT Class 8 Solutions for Maths has been intended to assist the understudies with addressing the CBSE Class 8 Maths issues effortlessly. The CBSE 8th Class Solutions for Maths gave here comes decidedly ready activities alongside definite clarifications organized by our master educators that further makes learning and comprehension of ideas a simple assignment. Thus, if understudies have been searching for the most point by point and precise NCERT Maths Solutions Class 8, which are likewise free, this is the correct spot.

Chapter Wise NCERT Solutions for Class 8 Maths NCERT Solutions Class 8 Maths provided here are very beneficial for students. They can use these NCERT Solutions for Class 8 as a reference while practising math problems and develop better math skills along with preparing efficiently for the exams. The math exercises are given at the end of every chapter to practise the concepts learned in the chapter.

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers In this chapter, students will be learning properties related to real numbers, integers, whole numbers, rational numbers and natural numbers – independent, associative and closure. The chapter deals with the role of zero and one, multiplication over addition as well as the representation of Rational Numbers on the number line, along with searching for Rational Numbers between two Rational Numbers. The topics of additive identity (0) and multiplicative identity (1) are also covered in this chapter. There are 2 exercises in this chapter, which contain questions from all the topics present in the chapter.

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable The chapter, Linear Equations in One Variable, deals with linear expression in one variable alone. Here the chapter will be dealing with the equations with linear expressions in one variable only. Such equations are known as Linear Equations in One Variable. There are six exercises in this chapter with a total of 65 questions in them. The chapter includes different concepts including- solving an equation of Linear Equations in One Variable, some of its applications, reducing equations to a simpler form and word problems related to Linear Equations in One Variable.

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals The chapter, Understanding Quadrilaterals, of Class 8 Maths, as the name says, provides the students with a proper understanding of the quadrilaterals. The chapter also covers different kinds of polygons, including triangles, quadrilaterals, pentagon, hexagon etc. The chapter contains 4 exercises which aid the students in understanding these shapes properly.

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry The chapter, Practical Geometry, includes the method of constructing a quadrilateral with various parameters given. The chapter consists of 5 exercises, each dealing with different methods of constructing the quadrilateral. For instance, the first exercise deals with the construction of quadrilaterals when the length of four sides and a diagonal are given; similarly, the second exercise involves the method of construction of quadrilaterals when two diagonals and three sides are given, and so on. Hence, we can conclude that learning this chapter will make the students well-versed in all the concepts of quadrilateral for further classes.

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling The collection of information that can be used for analysis is known as data. In this chapter, students learn about the organisation and representation of data. Organising the data in a systematic method is referred to as Data Handling. In this chapter, students learn to represent these data diagrammatically as a pictograph, a bar graph, double bar graph, pie chart and histogram. During the course of this chapter, students will be briefed about the concept of probability or likelihood. There are 3 exercises in this chapter that deal with all the concepts covered in the chapter.

NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots This chapter, Squares and Square Roots, helps the students learn about the concept of square number and the square root of a number. The chapter deals with properties of square numbers, interesting patterns that could be learned using square numbers, finding the square of a number, Pythagorean triplets, finding square roots through various methods, Square roots of decimals and much more.

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cbseclass8th · 4 years ago

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Sample Paper for Class 8 and Study Material is Now Updated on the Exramarks app

Science, maths and English are the main subjects which students can learn with the help of Sample Paper for Class 8 provided by the Extramarks app. Sample Paper for Class 8 covers the important chapters of science like Crop Production and Management, Microorganisms: Friend and Foe, Synthetic Fibres and Plastics, Materials: Metals and Non-Metals, Coal and Petroleum, Combustion and Flame. Sample Paper for Class 8 covers the important chapters of maths like Practical Geometry, Data Handling, Squares and Square Roots, Rational Numbers Linear Equations in One Variable, Understanding Quadrilaterals. Sample Paper for Class 8 covers the important chapters of English like The Best Christmas Present in the World, The Tsunami, This is Jody's Fawn, A Visit to Cambridge, A Short Monsoon Diary, Glimpses of the Past, Bepin Choudhury's Lapse of Memory, The Summit Within. The first story concerns Ignesious. His wife awoke at 6 a.m, and he felt an earthquake. Ignesious have put the TV on the ground to save it from the quake. Then all the family members rushed forth. We saw the sea rising when the tremors ended. This led them to become confused. They were playing but in opposite directions. His wife was overwhelmed. Her two children were also lost, along with their father and brother. Thus Ignesious lost his wife, two children in the tsunami, his father-in-law and his brother-in-law. Sanjeev is a cop. He has succeeded in saving himself, his wife and his baby daughter. He heard then the cry for help. These were from the wife of John. John was the cook of the guest-house. Sanjeev sprang to the water to save her. They were both swept away and drowned. Meghna had age 13. She and her friends, and seventy-seven other people were swept away. She fastened on a wooden door and held flat. Almas was age 10. The family was sleeping, but her father had been waking up. Amid the tremors, he saw the water receding. He knew it was going to return with great force. He woke everybody trying to rush to a more secure spot. His father fell as they played. Father Almas hastened to rescue him. Then a big wave came, and they both swept away. This a summary of a chapter and like this, if you want to learn every chapter you can log in to Extramarks app and can practice CBSE Sample Papers for Class 8. All new video lectures of Sample Paper for Class 8 is now available on the Extramarks app.

#cbse class 8 sample paper

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mathswithnarendrasir · 2 years ago

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Class-8 Mathematics NCERT Soluction Ex-2.5 chapter-2 #Mathswithnarendrasir #Narendrasir

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ss1986us · 5 years ago

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ncert solutions for class 9 maths

Brace up like scholars

https://www.entrancei.com/topics-topics-class-9-mathematics

While going through the maths subject Maths formula can help you a lot so do read and revise entire maths formula from entrancei.

As general pattern, the class 9 maths should be taken very seriously as it helps in building strong concepts for further boards in 10th. The complete categorization of the syllabus of class 9 maths has been done in chapters, which helps students to easily go through it.

Ø Chapter 1: Number systems

Ø Chapter 2: Polynomials

Ø Chapter 3: Coordinate Geometry

This chapters in class 9 maths help the students in understanding the concepts of Cartesian place and coordinates.

Ø Chapter 4: Linear Equations in two Variables

Ø Chapter 5: Introduction to Euclid’s Geometry

Ø Chapter 6: Lines and Angles

The chapter as lines and angles is generally asked as theorems and postulates in class 9 maths examinations. The level of difficulty is very minor compared to other units.

Ø Chapter 7: Triangles

Ø Chapter 8: Quadrilaterals

This chapter of class 9 maths comprises of only one theorem as proof. Questions asked in this chapter are relatively very easy.

Ø Chapter 9: Areas of Parallelograms and Triangles

One will be brought to the note of areas in geometrical shapes. The examples of the median can be used in various examples of this in class 9 maths of chapter.

Ø Chapter 10: Circles

Ø Chapter 11: Constructions

This chapter throws light upon bisecting and creating line segments to angles and lines. The student’s class 9 maths would be learning the creation of triangles with different properties and different base angles.

Ø Chapter 12: Heron’s formula

This chapter of class 9 maths comprises of only three exercises. This chapter gives an extension to the application of heron’s formula in polygons and quadrilaterals and triangles.

Ø Chapter 13: Surfaces Areas and Volumes

Ø Chapter 14: Statistics

Ø Chapter 15: Probability

With only about 1 exercise in class 9 maths, this chapter is very easy. This is based on observation and frequency of day to day examples.

Why choose Entrancei

#https://www.entrancei.com/topics-topics-class-9-mathematics

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entrancei010 · 5 years ago

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Become A Maths Master With NCERT Solutions

Does your child want to excel in his or her exam? Strengthening the school foundation has become the primary motive of yours? If yes, then the best solution lies with NCERT (National Council of Educational and Research) as your little champ can easily grasp the idea behind the array of questions. The solutions of NCERT give in depth, chapter-wise solutions to the queries of the subject. It also helps students to compare the subject answers with sample answers. Deep learning with polishing the basics of subject materials brings clarity of concept in student minds.

Students find maths, a typical subject during their academy life and to be very honest maximum students says “Maths is quite scary”. To get out from the crux of the marks scoring problem, NCERT solutions for class 8 maths is the best option. The textbook has been designed for the students to give a solid foundation of the subject thoroughly. The most important and difficult subject students find in their 8 exams is maths and scoring highest marks become their main concern. NCERT solutions for class 8 maths cover all chapters step by step detail theory with objective and subjective solved questions.

You can also download NCERT solutions for class 8 maths from the website in just a few clicks. The solutions for maths problems are prepared by professionals which includes the problems from the newest edition of NCERT books and according to CBSE pattern. The brilliant NCERT solutions for class 8 maths give a quick understanding of the subject and assist in solving tough problems too.

Few more tips to excel in your maths exam:

· Make a habit of never missing your maths coaching or classes

· Read the topics before going for the classes

· Use highlighter to mark the important formula

· Studying maths every day not only makes you master for your field but also keeps your concept clear

· First of all, solve all the questions of NCERT and then jump into NCERT solutions for class 8 maths

Apart from this, NCERT solutions for class 8 maths cover the following chapters:

8 Maths Chapter wise Solutions

Chapter 1 - Rational Numbers

Chapter 2 - Linear Equations in One Variable

Chapter 3 - Understanding Quadrilaterals

Chapter 4 - Practical Geometry

Chapter 5 - Data Handling

Chapter 6 - Squares and Square Roots

Chapter 7 - Cubes and Cube Roots

Chapter 8 - Comparing Quantities

Chapter 9 - Algebraic Expressions and Identities

Chapter 10 - Visualising Solid Shapes

Chapter 11 - Mensuration

Chapter 12 - Exponents and Powers

Chapter 13 - Direct and Inverse Proportions

Chapter 14 - Factorisation

Chapter 15 - Introduction to Graphs

Chapter 16 - Playing with Numbers

Math can be a little bit hard for your children, but in case they focus in class and practice the NCERT sums, success is 100 percent. You just keep in mind of not getting so much of rush in solving the question, simply take your time in solving them. Your child must avoid cramming, ask him/her not to stress out, and make sure to ask for rest and eat well before the test. This will keep them energizes and the power to solve the problems increases.

#NCERT solutions for class 8 maths #NCERT solutions

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