NCERT Solutions for Class 8 Maths

The NCERT Class 8 Maths Solutions are made available in a systematic manner. The methodical chapter-wise arrangement of the solutions ensures that students make judicious use of their time. The explanations provided are in accordance with the NCERT Book of Class 8 Maths and will allow students to understand the concept behind each topic. Even the most complex problems have been deconstructed in a logical manner to ensure smooth understanding.

NCERT Solutions for CBSE Class 8 Maths Chapters and Exercises

Students can find complete details of the chapters and exercises included in Maths Class 8 NCERT Solutions below:

NCERT Class 8 Maths Solutions Chapter 1 Rational Numbers Exercise PDF

The first chapter in the NCERT Class 8 textbook is based on the topic of rational numbers. Students will learn about the properties of integers, natural and whole numbers. Representation of rational numbers on the number line, the role of zero and one in addition and multiplication have been discussed as well. Students need to have a good grasp of this chapter to understand more complex concepts. Details of exercises and questions included in the chapter are:

Ex 1.1 – 11 Qs (11 Short Ans)

Ex 1.2 – 7 Qs (7 Short Ans)

NCERT Class 8 Maths Solutions Chapter 2 Linear Equations in One Variable Exercise PDF

Students in this chapter are introduced to the concept of linear equations in one variable. Several methods to solve these linear equations have also been provided. The exercises provided in this chapter test the ability of the students to solve these problems by employing different methods. The 65 questions in this chapter are divided into 6 exercises in the following manner.

Ex 2.1 – 12 Qs (12 Short Ans)

Ex 2.2 – 16 Qs (6 Long Ans, 10 Short Ans)

Ex 2.3 – 10 Qs (3 Long Ans, 7 Short Ans)

Ex 2.4 – 10 Qs (4 Long Ans, 6 Short Ans)

Ex 2.5 – 10 Qs (1 Long Ans, 9 Short Ans)

Ex 2.6 – 7 Qs (1 Long Ans, 6 Short Ans)

NCERT Class 8 Maths Solutions Chapter 3 Understanding Quadrilaterals Exercise PDF

This chapter provides the students with a general understanding of the topic of quadrilaterals along with the study of their properties. Students get to explore the dynamic world of quadrilaterals and also polygons (pentagon, hexagon, etc.). The four exercises included in this chapter have the questions distributed as:

Ex 3.1 – 7 Qs (1 Long Ans, 6 Short Ans)

Ex 3.2 – 6 Qs (6 Short Ans)

Ex 3.3 – 12 Qs (6 Long Ans, 6 Short Ans)

Ex 3.4 – 6 Qs (1 Long Ans, 5 Short Ans)

NCERT Class 8 Maths Solutions Chapter 4 Practical Geometry Exercise PDF

Now that the students are equipped with the knowledge of quadrilaterals, the chapter of Practical Geometry teaches them to construct quadrilaterals on the basis of the given parameters such as lengths of certain sides, enclosing angle, length of the diagonal, etc. By practising the exercise questions given in this chapter, students are likely to become well-versed with the concept of quadrilaterals and utilise their understanding for solving more complex problems. The five exercises included in this chapter are: 

Ex 4.1 – 1 Q (1 Long Ans)

Ex 4.2 – 1 Q (1 Long Ans)

Ex 4.3 – 1 Q (1 Long Ans)

Ex 4.4 – 1 Q (1 Long Ans)

Ex 4.5 – 4 Qs (4 Long Ans)

NCERT Class 8 Maths Solutions Chapter 5 Data Handling Exercise PDF

Data is a set of information that can be subjected to analysis. In this chapter, students learn to organise the given data in a systematic way which is the basis of data handling. Students also learn to represent the organised data in the form of bar graphs, pie charts, histograms, etc. The details of the exercises included in this chapter are given below.

Ex 5.1 – 5 Qs (5 Short Ans)

Ex 5.2 – 5 Qs (3 Long Ans, 2 Short Ans)

Ex 5.3 – 6 Qs (2 Long Ans, 4 Short Ans)

NCERT Class 8 Maths Solutions Chapter 6 Squares and Square Roots Exercise PDF

A very important chapter in Class 8 from an examination point of view. If you are familiar with all the concepts in this chapter, it can also be very interesting to solve. Students are taught about the concept of squares and square roots and the interesting patterns that are associated with the same. The concept and properties of Pythagorean triplets have also been included in this chapter. Students should solve all the exercise questions of this chapter, which includes:

Ex 6.1 – 9 Qs (9 Short Ans)

Ex 6.2 – 2 Qs (2 Short Ans)

Ex 6.3 – 10 Qs (3 Long Ans, 7 Short Ans)

Ex 6.4 – 9 Qs (3 Long Ans, 6 Short Ans)

NCERT Class 8 Maths Solutions Chapter 7 Cubes and Cube Roots Exercise PDF

This chapter is an advancement over the previous chapter as it introduces students to cubes and cube roots. Students get to learn the properties and patterns associated with the same as they go through the chapter. To become thorough with the chapter, students are urged to solve all the exercises which include:

Ex 7.1 – 4 Qs (4 Short Ans)

Ex 7.2 – 3 Qs (2 Long Ans,1 Short Ans)

NCERT Class 8 Maths Solutions Chapter 8 Comparing Quantities Exercise PDF

This chapter on Comparing Quantities can prove to be very interesting for the students as they are made familiar with the concepts of percentages, discounts, sales, etc., some terms that we come across in our day-to-day life. Students also get to learn how to calculate simple, compound interests, concepts that have profound uses in our lives. So make sure to practise all the 28 questions included in the exercises.

Ex 8.1 – 6 Qs (1 Long Ans, 5 Short Ans)

Ex 8.2 – 10 Qs (4 Long Ans, 6 Short Ans)

Ex 8.3 – 12 Qs (6 Long Ans, 6 Short Ans)

NCERT Class 8 Maths Solutions Chapter 9 Algebraic Expressions and Identities Exercise PDF

Students in this chapter are brief about the various terms associated with Algebraic Expressions and Identities. The concept of factors, coefficients, monomials, binomials and polynomials have been explained and students are also taught how to perform various operations on them. Students need a thorough practice of all the exercise questions to solidify their grasp of the chapter. Details of the questions included in this exercise are:

Ex 9.1 – 4 Qs (4 Short Ans)

Ex 9.2 – 5 Qs (5 Short Ans)

Ex 9.3 – 5 Qs (5 Short Ans)

Ex 9.4 – 3 Qs (3 Short Ans)

Ex 9.5 – 8 Qs (8 Short Ans)

NCERT Class 8 Maths Solutions Chapter 10 Visualising Solid Shapes Exercise PDF

Students of Class 8 often find this Maths chapter very intriguing as it expires one’s imagination. Students get to learn about the concept of 3D geometry and visualise solid shapes in different dimensions. The concepts of edges, faces and vertices are explained in this chapter and students are taught how to map a solid shape in the three dimensions. One of the prominent topics which students get to learn in this chapter is Euler’s formula. This chapter requires rigorous practice and students should, thus, solve all the questions given in the exercise.

Ex 10.1 –  4 Qs (4 Short Ans)

Ex 10.2 – 4 Qs (3 Short Ans, 1 Long Ans)

Ex 10.3 – 8 Qs (8 Short Ans)

NCERT Class 8 Maths Solutions Chapter 11 Mensuration Exercise PDF

This chapter is designed to build upon the students’ concept of quadrilaterals and triangles as it deals with measuring the area of these figures. In addition to this, students will also learn how to calculate the area and volume of cubes and cuboidal structures using various formulae. Students must ensure that they solve all the questions included in the exercises of this chapter.

Ex 11.1 – 5 Qs (5 Long Ans)

Ex 11.2 – 11 Qs (11 Long Ans)

Ex 11.3 – 10 Qs (2 Short Ans, 8 Long Ans)

Ex 11.4 – 8 Qs (2 Short Ans, 6 Long Ans)

NCERT Class 8 Maths Solutions Chapter 12 Exponents and Powers Exercise PDF

Students in this chapter get to be familiar with the concepts of powers and exponents (positive as well as negative). Expressing numbers in standard form by making use of exponents and comparisons of very large with very small numbers is also an integral part of this chapter. To understand this chapter, practise the exercises which include:

Ex 12.1 – 7 Qs (7 Short Ans)

Ex 12.2 – 4 Qs (4 Short Ans)

NCERT Class 8 Maths Solutions Chapter 13 Direct and Inverse Proportions Exercise PDF

In direct proportion, the two quantities involved increase/decrease in a manner that their corresponding values remain the same while the opposite happens in inverse proportion. The exercises provided contains questions involving both the scenarios and students must attempt to solve them all.

Ex 13.1 – 10 Qs (10 Short Ans)

Ex 13.2 – 11 Qs (11 Long Ans)

NCERT Class 8 Maths Solutions Chapter 14 Factorisation Exercise PDF

The factorisation of algebraic expressions and natural numbers is dealt with in this chapter. Students  learn how to factorise using factorisation identities, regrouping terms, etc. Moreover, students also learn how to divide a polynomial or a monomial by a monomial and more. Make sure you practise all the 34 questions distributed among the various exercises of this chapter.

Ex 14.1 – 3 Qs (3 Short Ans)

Ex 14.2 – 5 Qs (5 Short Ans)

Ex 14.3 – 5 Qs (5 Short Ans)

Ex 14.4 – 21 Qs (21 Short Ans)

NCERT Class 8 Maths Solutions Chapter 15 Introduction to Graphs Exercise PDF

Since students have already been introduced to the concept of data handling earlier, this chapter primarily focuses on representing data in different types of graphs such as pie charts, histograms, linear graphs, etc. This chapter takes the challenge up a notch as students learn how to locate points and coordinate them on a graph. To gain confidence in this chapter practice is key which you can achieve by solving all the questions of the exercises.

Ex 15.1 – 7 Qs (7 Long Ans)

Ex 15.2 – 4 Qs (4 Short Ans)

Ex 15.3 – 2 Qs (2 Short Ans)

NCERT Class 8 Maths Solutions Chapter 16 Playing with Numbers Exercise PDF

The chapter acts as a culmination of the concepts that students learn with respect to numbers. The broad genre of numbers has been discussed in detail in this chapter and students can use the concepts to justify the test of divisibility. The two exercises of this chapter include a total of 14 questions.

Ex 16.1 – 10 Qs (Short Ans)

Ex 16.2 – 4 Qs (Short Ans)

The Class Maths marks weightage has been provided below according to the chapters and the corresponding marks they carry in the exam. The knowledge of uni-wise marks distribution is very important as it allows students to formulate their preparation strategy accordingly. 

CBSE Class 8 Maths Unit-wise Marks Weightage

Benefits of Vedantu’S NCERT Solutions for Class 8 Maths

NCERT Solutions are touted as a resourceful study material among the students. Vedantu provides the NCERT Solutions for Class 8 Maths compiled in a PDF format. What is even better is that this PDF can be downloaded for free. Expert academicians have provided the solutions here in a step-wise manner and this allows students to get familiar with all the concepts included in the syllabus of Class 8 Maths. Practising using these solutions can prove to be very beneficial for the students as these are error-free which ensures that students can use them while studying for exams. So make sure you explore the full benefits of downloading these solutions.

Conclusion

For students appearing in the Class 8 Maths exam, the NCERT solutions can prove to be of great help. Improving your scores in Mathematics is something very achievable with these NCERT Solutions. In addition to this, you can also choose to resolve your doubts by attending Vedantu’s live classes by some of the expert academicians from across the country.