NCERT Solutions for Class 8 Maths - Download Chapter wise Solution PDF

Edited By Komal Miglani | Updated on Jul 09, 2025 08:01 PM IST

If you can master Class 8 Maths, you can build a strong foundation for the heights ahead. It’s time to move beyond basic calculations and start understanding how Maths really works: Welcome to Class 8 Maths. In the world of numbers and patterns, NCERT Solutions are the way to mathematical mastery. They are just that piece of the puzzle... without them, the learning is incomplete. In the NCERT textbook for class 8 Maths, the students learnt all the basic concepts and formulas. Failing to apply those learnings in the practice of the exercises in the textbook is a big disadvantage. That's where these Class 8 Maths NCERT solutions come in to fill the gap from concept to practice. These NCERT solutions for class 8 help students to find the correct answers, but importantly for the students, they also explain the 'why' and 'how' of each stage, thereby helping to deepen the understanding.

NCERT Solutions for Class 8 Maths - Download Chapter wise Solution PDF

If you can master Class 8 Maths, you can build a strong foundation for the heights ahead. In Class 8 Maths, students learn new concepts of quadrilaterals, direct and inverse proportion, linear equations in two variables, graphs and factorisation. At the same time, they will also learn earlier concepts of rational numbers, handling data, algebraic expressions and geometry. These NCERT Solutions for class 8 Maths have been prepared by Careers360 experts, highly experienced and qualified in this field for many years. The solutions are logical and adhere to the latest CBSE syllabus. Students can use these NCERT solutions to revise or strengthen weak concepts. Find your syllabus, crisp notes, and chapter-wise PDFs easily at the following link: NCERT.

NCERT Solutions for Class 8 Maths: Chapter Wise

These are chapter-wise NCERT solutions for class 8 math chapters in one place, created considering the latest syllabus and pattern of CBSE 2025-26.

NCERT Solutions for class 8 Mathematics chapter 1: Rational Numbers

NCERT Solutions for class 8 Mathematics chapter 2: Linear Equations in One Variable

NCERT Solutions for class 8 Mathematics chapter 3: Understanding Quadrilaterals

NCERT Solutions for class 8 Mathematics chapter 4: Data Handling

NCERT Solutions for class 8 Mathematics chapter 5: Squares and Square Roots

NCERT Solutions for class 8 Mathematics chapter 6: Cubes and Cube Roots

NCERT Solutions for class 8 Mathematics chapter 7: Comparing Quantities

NCERT Solutions for class 8 Mathematics chapter 8: Algebraic Expressions and Identities

NCERT Solutions for class 8 Mathematics chapter 9: Mensuration

NCERT Solutions for class 8 Mathematics chapter 10: Exponents and Powers

NCERT Solutions for class 8 Mathematics chapter 11: Direct and Inverse Proportions

NCERT Solutions for class 8 Mathematics chapter 12: Factorisation

NCERT Solutions for class 8 Mathematics chapter 13: Introduction to Graphs

NCERT Solutions for Class 8 Maths Chapter Details

NCERT Solutions for Class 8 Maths: Chapter 1

Name of the Chapter	Rational Numbers
Topics	Properties of rational numbers Representation on the number line Operations on rational numbers Additive and multiplicative identity
Number of Exercises	1
Page Number	1-13
Expected Number of Questions	4

NCERT Solutions for Class 8 Maths: Chapter 2

Name of the Chapter	Linear Equations in One Variable
Topics	Solving linear equations Word problems Applications involving numbers, geometry, and age
Number of Exercises	2
Page Number	15-19
Expected Number of Questions	5

NCERT Solutions for Class 8 Maths: Chapter 3

Name of the Chapter	Using Quadrilaterals
Topics	Polygons and their classification Types of quadrilaterals Properties of parallelograms Angle sum property
Number of Exercises	4
Page Number	21-36
Expected Number of Questions	3

NCERT Solutions for Class 8 Maths: Chapter 4

Name of the Chapter	Data Handling
Topics	Organizing data Bar graphs and pie charts Probability (basic concept)
Number of Exercises	2
Page Number	37-50
Expected Number of Questions	3

NCERT Solutions for Class 8 Maths: Chapter 5

Name of the Chapter	Squares and Square Roots
Topics	Properties of square numbers Finding square roots by various methods Estimating square roots
Number of Exercises	4
Page Number	51-70
Expected Number of Questions	4

NCERT Solutions for Class 8 Maths: Chapter 6

Name of the Chapter	Cubes and Cubes Roots
Topics	Properties of cube numbers Finding cube roots using prime factorisation
Number of Exercises	2
Page Number	71-77
Expected Number of Questions	2

NCERT Solutions for Class 8 Maths: Chapter 7

Name of the Chapter	Comparing Quantities
Topics	Percentages and ratios Profit, loss, discount Compound interest (using formula and without) Applications of compound interest
Number of Exercises	3
Page Number	79-91
Expected Number of Questions	3

NCERT Solutions for Class 8 Maths: Chapter 8

Name of the Chapter	Algebraic Expressions and Identities
Topics	Terms, factors, coefficients Types of expressions Identities and their applications
Number of Exercises	4
Page Number	93-102
Expected Number of Questions	6

NCERT Solutions for Class 8 Maths: Chapter 9

Name of the Chapter	Mensuration
Topics	Area of a polygon Surface area and volume of solid shapes (cube, cuboid, and cylinder) Conversion of units
Number of Exercises	3
Page Number	103-120
Expected Number of Questions	4

NCERT Solutions for Class 8 Maths: Chapter 10

Name of the Chapter	Exponents and Powers
Topics	Laws of exponents Use of exponents to express large numbers Comparing very large and very small numbers Scientific notation
Number of Exercises	2
Page Number	121-128
Expected Number of Questions	3

NCERT Solutions for Class 8 Maths: Chapter 11

Name of the Chapter	Direct and Inverse Proportions
Topics	Understanding direct and inverse proportions Real-life problems
Number of Exercises	2
Page Number	129-144
Expected Number of Questions	2

NCERT Solutions for Class 8 Maths: Chapter 12

Name of the Chapter	Factorisation
Topics	Factorising algebraic expressions Common factors and identities Division of algebraic expressions
Number of Exercises	3
Page Number	145-156
Expected Number of Questions	3

NCERT Solutions for Class 8 Maths: Chapter 13

Name of the Chapter	Introduction to Graphs
Topics	Types of graphs: bar, line, pie Plotting points Interpreting data
Number of Exercises	2
Page Number	157-169
Expected Number of Questions	3

Importance of NCERT Solutions for Class 8

During the practice and while completing the homework of the NCERT textbook exercises, students should be able to check if they are doing it right or not after completing it on their own. That is where the purpose of these NCERT solutions lies. Here are some more features of these solutions.

Solutions have been written in a well-structured manner and using simple language.
All the relevant formulas are provided alongside the solutions.
The importance of visual representation is maintained. Wherever pictures are needed, it is provided to make the learning interesting.
These solutions of class 8 maths will help students to create a strong base for all the next classes.

NCERT Books and NCERT Syllabus

Before planning a study schedule, always analyse the latest syllabus. Here are the links to the latest NCERT syllabus and some of the important books that will help students in this cause.

Also Read

NCERT Books for Class 8 Maths 2025-26: Download PDF Here

NCERT Books for Class 8 Science 2025-26 PDF - Download Now

NCERT Books for Class 8 2025-26: Download All Subjects PDF

NCERT Books for Class 8 Social Science 2025-26 - Download PDF

NCERT Books for Class 8 English 2025-26: Download PDF

NCERT Solutions for Class 8 Science Chapter 13 Light

NCERT Solutions for Class 8 Science Chapter 8 Force and Pressure

NCERT Solutions for Class 8 Science Chapter 11 Chemical Effects Of Electric Current

NCERT Solutions for Class 8 Science Chapter 12 Some Natural Phenomena

NCERT Solutions For Class 8 Science Chapter 10 Sound

NCERT Solutions Class 8 Science Chapter 1- Crop Production And Management

NCERT Syllabus for Class 8 2025-26, Download All Subjects Latest Syllabus PDF

NCERT Syllabus for Class 8 Hindi 2025-26: Download All Chapters PDF Here

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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