NCERT Solutions for Class 8 Maths

Edited By Ramraj Saini | Updated on May 21, 2024 12:11 PM IST

NCERT solutions for Class 8 Maths - Download PDFs 2024-25

NCERT solutions for class 8 maths, updated for the 2024–25 session for chapters 1–16 from the latest revised NCERT textbook, are provided here. These NCERT solutions include all important concepts explained step by step, comprehensively covering all questions prescribed in the NCERT curriculum. These Class 8 Maths NCERT solutions were designed by the expert team at Careers360, considering the latest syllabus and pattern of CBSE 2024–25 to aid the students. Practice these NCERT solutions for math class 8, which will help you to command all the concepts, formulae, and related theory that will boost your confidence and ultimately help students to score well in the competitive exams. NCERT solutions for class 8 maths cover chapters like calculation, arithmetic, geometry algebra, etc. Get assistance while doing your homework and preparing for the examinations with the help of these Maths NCERT solutions for class 8.

NCERT Solutions for Class 8 Maths

Class 8 maths NCERT solutions cover all the unanswered questions, including exercises, in-text questions, and optional exercises. The steps used to write these solutions have been kept very easy, keeping class 8 students in mind. You have to be thorough with NCERT syllabus to crack the higher level examination like- JEE, NEET, UPSC, CAT, etc.

Also read: Maths Formulas For CBSE Class 8: Chapter-wise Formulas, Examples And Points

NCERT Solutions for Class 8 Maths - Chapter Wise

Here students can find chapter-wise NCERT solutions for class 8 maths chapters in one place, which are very helpful for students as these are created considering the latest syllabus and pattern of CBSE 2024 and updated on a regular basis.

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	Visualizing Solid Shapes
Chapter-11	Mensuration
Chapter-12	Exponents and Powers
Chapter-13	Direct and Inverse Proportions
Chapter-14	Factorization
Chapter-15	Introduction to Graphs
Chapter-16	Playing with Numbers

NCERT Solutions for Class 8 Maths Chapter Details

NCERT Solutions for Class 8 Maths - Chapter 1

The main idea behind including this chapter in the curriculum is to give you a strong concept for identifying the difference between rational and irrational numbers. NCERT introduced this chapter because it gives a broad classification of the numbers and you will gain lots of interesting properties based on numbers. In NCERT maths class 8 solutions for chapter 1 Rational Numbers, you will get solutions to all the 24 questions in the entire chapter.

NCERT Solutions for Class 8 Maths - Chapter 2

This chapter will give you a strong approach to find the missing numbers. You will learn to find the value of the variable using both side division, addition, subtraction & multiplication in a linear equation. The chapter is the part of algebra where you will find yourself comfortable in calculating the values in the one-variable equation. The topic is much needed to know as these concepts will be helpful while doing some higher-level mathematics. In NCERT maths class 8 solutions chapter 2 Linear Equation One Variable you will get solutions to all the 65 questions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 3

Quadrilateral is another subtopic of geometry. In this chapter, NCERT has provided the classification of quadrilaterals and various properties of different types of quadrilaterals in class 8 NCERT maths solutions for chapter 3. The quadrilateral is a topic with deep categorisation and so many properties. Associating one property with another is the best way to understand and remember quadrilaterals. From NCERT Solutions, class 8 maths, chapter 3, Understanding Quadrilaterals, you can download the detailed solution to all 95 questions for free.

NCERT Solutions for Class 8 Maths - Chapter 4

This chapter is part of geometry. In other words, it can be called a drawing of geometry. In this, you are going to learn the construction of various types of geometric figures using some measurements. This is introduced to check your creation skills based on some parameters. The chapter will increase your creativity and will help in geometry as well. Another name for this chapter is construction. In class 8 maths NCERT solutions for chapter 4 Practical Geometry, you will get solutions to all 33 questions. You can download these solutions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 5

In this particular chapter, you will learn usage, representation and various forms of data. This is an essential topic, as every step for the future is taken on the basis of previous data. Data is present everywhere; it can be in schools, hospitals, companies, etc. The chapter is introduced to create a broader idea about the various kind of data representation forms. In class 8 NCERT maths solutions for chapter 5 Data Handling, you will get solutions to all the 59 questions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 6

The basic idea behind introducing this chapter is to enhance your calculation. The topic is the backbone of the calculation, and if you are good at this part, then the time taken by you to answer any numerical question would be much faster than the others. In this, you are going to learn various kinds of techniques to find the square and square roots of natural as well as non-natural numbers. From NCERT Solutions for Class 8 Math, Chapter 6: Squares and Square Roots, you can download the detailed solution to all 108 questions for free.

NCERT Solutions for Class 8 Maths - Chapter 7

This is equally important as the previous chapter. It is an essential part of the calculation, and as you all know, without calculation, mathematics is incomplete. So in order to improve your calculation, NCERT has introduced this topic to make you able to calculate the cubes and cube roots of natural as well as non-natural numbers. In NCERT solutions class 8 maths chapter 7 Cubes & Cube Roots, you will get solutions to all 38 questions. You can download these solutions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 8

This is an application-based chapter, based on arithematic topics. This topic is nothing new and not holds any new kind of special concept. This is based on various chapters like- ratios, percentage, discount, profit-loss & SI-CI and many more. It has been introduced to revise your concepts of previous classes. The only difference here will be that the question will use the concept of the mentioned chapters but the approach to solving the question will be different. I n class 8 NCERT maths solutions for chapter 8 Comparing Quantities, you will get solutions to all the 61 questions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 9

The chapter is the basics of algebra, where you will learn the basic application of algebra, including including finding coefficients, products, addition & subtraction in any degree equation. There will be some algebraic properties using which you have to solve the problems. The properties are specially invented to make the solution more convenient than that of the conventional methods. From NCERT solutions for class 8 maths chapter 9 Algebraic Expressions and Identities, you can download the detailed solution of all 161 questions for free.

NCERT Solutions for Class 8 Maths - Chapter 10

Here, this topic is introduced to relate the cylinder, cone, etc. In this the Sphere, Cylinder, Square, Circle, Cuboid, Cube, Cone & triangles are classified into two-dimensional and 3-dimensional categories. It is just an introductory part to identify the figure classification as per the mathematics. In class 8, NCERT math solutions for chapter 10, Visualising Solid Shapes, you will get solutions to all 42 questions. You can download these solutions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 11

Mensuration is also a part of geometry in which you will learn to find the area volumes of various kinds of 2d & 3d shapes of geometry. It introduces various kinds of formula to calculate volume, curved surface area, and the total surface area of a given figure. It is among the most essential topics as per the weight in the examination. In NCERT solutions class 8 Math, chapter 11 Mensuration, you will get solutions to all 53 questions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 12

In this particular chapter, you will learn the product & division of numbers in exponents & powers. The operation of exponents will be with numbers as well with variables like x, y & z. The topic is part of algebra and contains algebraic as well as arithmetic questions. From class 8 NCERT maths solutions for chapter 12 Exponents & Powers, you can download the detailed solution of all 161 questions for free.

NCERT Solutions for Class 8 Maths - Chapter 13

Ratio means a comparison between two or more elements based on numbers. In this particular chapter, you will learn the application of ratios, proportions & inverse proportions. Most of the arithmetic chapters use the application of ratio proportions and variations. In NCERT solutions for class 8 math, chapter 13, Direct and Inverse Proportions, you will get solutions to all 31 questions. You can download these solutions for free by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 14

In this particular chapter, you are going to learn the factorisation of numbers and algebraic equations. Factorisation means splitting a number or equation into a product of two or more than two numbers. Many topics will need factorization to solve the question completely. It is among the most essential chapters of NCERT class 8 maths. In NCERT solutions for class 8 maths chapter 14 Factorization, you will get solutions to all 14 questions by clicking on to the above link.

NCERT Solutions for Class 8 Maths - Chapter 15

This topic is very similar to the data handling topic but on that topic, you are supposed to solve the problems which are presented in graphs and all but on this topic, the basic idea is to develop graph drawing skills. You will learn the construction of bar graphs and line graphs in this particular chapter of NCERT class 8 maths. From maths NCERT solutions class 8 for chapter 15 Introduction to Graphs, you can download the detailed solution of all 50 questions for free.

NCERT Solutions for Class 8 Maths - Chapter 16

In this particular chapter, you will play some games related or based on numbers. The chapter is based on the numbers. In another way, there will be various kinds of puzzles based on numbers and you have to work accordingly and find out the missing terms. The idea behind introducing this topic is to develop a logical ability along with some fun. In NCERT solutions for class 8 maths chapter 16 Playing with numbers, you will get solutions to all 60 questions. You can download these solutions for free by clicking on to the above link.

Benefits of NCERT Solutions for Class 8

You will be much more comfortable while doing homework using NCERT solutions for class 8 maths.
You can decode some major observations, concepts, and formulae to solve every problem related to the chapter.
NCERT solutions for class 8 maths are written very elegantly with the most convenient technique to crack a particular problem.
The NCERT solutions for class 8 maths will help you create a strong base for all the next classes.
This book contains very good mathematical chapters in a sequential manner so that the students would be able to study in one flow. Along with this, you can also learn NCERT solutions for class 8 science.

NCERT Books and NCERT Syllabus

Frequently Asked Questions (FAQs)

1. How many chapters are there in CBSE class 8 maths ?

There are 16 chapters starting from ration number to playing with numbers in the CBSE class 8 maths.

2. Does CBSE provides the solutions of NCERT for class 8 ?

No, CBSE doesn’t provide NCERT solutions for any class or subject.

3. Which is the official website of NCERT ?

NCERT official is the official website of the NCERT, where you can get NCERT textbooks and syllabuses from classes 1 to 12.

Also Read

NCERT Solutions for Class 8 Science Chapter 11 Force and Pressure

NCERT Solutions for Class 8 Science Chapter 10 Reaching The age of adolescence

NCERT Solutions for Class 8 Science Chapter 9 Reproduction in Animals

NCERT Solutions for Class 8 Science Chapter 7 Conservation of Plants and Animals

NCERT Solutions for Class 8 Science Chapter 3 Synthetic Fibres and Plastics

NCERT Solutions for Class 8 Science Chapter 2 Microorganisms Friend and Foe

NCERT Books for Class 8 English 2024 - Download PDF

NCERT Syllabus for Class 8 2024-25 - Download All Subjects PDF

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Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up ? Fat supplies 3.8×10⁷J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms⁻² :

Option 1)

2.45×10⁻³ kg

Option 2)

6.45×10⁻³ kg

Option 3)

9.89×10⁻³ kg

Option 4)

12.89×10⁻³ kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

A particle is projected at 60⁰ to the horizontal with a kinetic energy $K$ . The kinetic energy at the highest point

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

In the reaction,

$2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, $Mg_{3}(PO_{4})_{2}$ will contain 0.25 mole of oxygen atoms?

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol^-1) is

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t²) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m² , the number of rotations made by the pulley before its direction of motion if reversed, is