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

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
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.

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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 Maths Chapter Details

NCERT Solutions for Class 8 Maths: Chapter 1

Name of the ChapterRational Numbers
Topics
  • Properties of rational numbers

  • Representation on the number line

  • Operations on rational numbers

  • Additive and multiplicative identity

Number of Exercises1
Page Number1-13
Expected Number of Questions4


NCERT Solutions for Class 8 Maths: Chapter 2

Name of the ChapterLinear Equations in One Variable
Topics
  • Solving linear equations

  • Word problems

  • Applications involving numbers, geometry, and age

Number of Exercises2
Page Number15-19
Expected Number of Questions5


NCERT Solutions for Class 8 Maths: Chapter 3

Name of the ChapterUsing Quadrilaterals
Topics
  • Polygons and their classification

  • Types of quadrilaterals

  • Properties of parallelograms

  • Angle sum property

Number of Exercises4
Page Number21-36
Expected Number of Questions3


NCERT Solutions for Class 8 Maths: Chapter 4

Name of the ChapterData Handling
Topics
  • Organizing data

  • Bar graphs and pie charts

  • Probability (basic concept)

Number of Exercises2
Page Number37-50
Expected Number of Questions3


NCERT Solutions for Class 8 Maths: Chapter 5

Name of the ChapterSquares and Square Roots
Topics
  • Properties of square numbers

  • Finding square roots by various methods

  • Estimating square roots

Number of Exercises4
Page Number51-70
Expected Number of Questions4


NCERT Solutions for Class 8 Maths: Chapter 6

Name of the ChapterCubes and Cubes Roots
Topics
  • Properties of cube numbers

  • Finding cube roots using prime factorisation

Number of Exercises2
Page Number71-77
Expected Number of Questions2


NCERT Solutions for Class 8 Maths: Chapter 7

Name of the ChapterComparing Quantities
Topics
  • Percentages and ratios

  • Profit, loss, discount

  • Compound interest (using formula and without)

  • Applications of compound interest

Number of Exercises3
Page Number79-91
Expected Number of Questions3


NCERT Solutions for Class 8 Maths: Chapter 8

Name of the ChapterAlgebraic Expressions and Identities
Topics
  • Terms, factors, coefficients

  • Types of expressions

  • Identities and their applications

Number of Exercises4
Page Number93-102
Expected Number of Questions6


NCERT Solutions for Class 8 Maths: Chapter 9

Name of the ChapterMensuration
Topics
  • Area of a polygon

  • Surface area and volume of solid shapes (cube, cuboid, and cylinder)

  • Conversion of units

Number of Exercises3
Page Number103-120
Expected Number of Questions4


NCERT Solutions for Class 8 Maths: Chapter 10

Name of the ChapterExponents and Powers
Topics
  • Laws of exponents

  • Use of exponents to express large numbers

  • Comparing very large and very small numbers

  • Scientific notation

Number of Exercises2
Page Number121-128
Expected Number of Questions3


NCERT Solutions for Class 8 Maths: Chapter 11

Name of the ChapterDirect and Inverse Proportions
Topics
  • Understanding direct and inverse proportions

  • Real-life problems

Number of Exercises2
Page Number129-144
Expected Number of Questions2


NCERT Solutions for Class 8 Maths: Chapter 12

Name of the ChapterFactorisation
Topics
  • Factorising algebraic expressions

  • Common factors and identities

  • Division of algebraic expressions

Number of Exercises3
Page Number145-156
Expected Number of Questions3


NCERT Solutions for Class 8 Maths: Chapter 13

Name of the ChapterIntroduction to Graphs
Topics
  • Types of graphs: bar, line, pie

  • Plotting points

  • Interpreting data

Number of Exercises2
Page Number157-169
Expected Number of Questions3

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.

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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 3.8×107 J 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

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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