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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 31, 2025 12:52 PM IST

If you become good at Class 8 Maths, you can build a strong foundation for the challenges ahead. It’s time to move beyond basic calculations and start understanding how maths really works: Welcome to Class 8 Maths. Following the latest NCERT syllabus edition, the new chapters help students develop problem-solving, analytical, and logical skills while using real-life examples. 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

In Class 8 Maths, students learn new concepts of quadrilaterals, proportional reasoning, and some properties of multiplication. At the same time, they will also revise concepts learned in previous classes, such as the number system, place value representation, and basic geometry. These NCERT Solutions for class 8 Maths have been prepared by Careers360 experts, highly experienced and qualified in this field for many years. 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 Details

NCERT Solutions for Class 8 Maths: Chapter 1

Name of the ChapterA Square and A Cube
Topics
  • Square Numbers

  • Patterns and Properties of Perfect Squares

  • Cubic Numbers

  • Taxicab Numbers

  • Perfect Cubes and Consecutive Odd Numbers

  • A Pinch of History

Page Number1-18


NCERT Solutions for Class 8 Maths: Chapter 2

Name of the ChapterPower Play
Topics
  • Place Value Representation

  • Exponential Notation and Operations

  • The Other Side of Powers

  • Linear Growth vs. Exponential Growth

  • Getting a Sense for Large Numbers

  • A Pinch of History

Page Number19-47


NCERT Solutions for Class 8 Maths: Chapter 3

Name of the ChapterA Story of Numbers
Topics
  • The Mechanism of Counting

  • Some Early Number Systems

  • The Idea of a Base

  • Place Value Representation

Page Number48-81


NCERT Solutions for Class 8 Maths: Chapter 4

Name of the ChapterQuadrilaterals
Topics
  • Rectangles and Squares

  • Properties of Rectangles and Squares

  • Angles in a Quadrilateral

  • More Quadrilaterals with Parallel Opposite Sides

  • Quadrilaterals with Equal Sidelengths

  • Playing with Quadrilaterals

  • Kite and Trapezium

Page Number82-111


NCERT Solutions for Class 8 Maths: Chapter 5

Name of the ChapterNumber Play
Topics
  • Sum of Consecutive Numbers

  • Checking Divisibility Quickly

  • Digits in Disguise

Page Number112-135


NCERT Solutions for Class 8 Maths: Chapter 6

Name of the ChapterWe Distribute, Yet Things Multiply
Topics
  • Some Properties of Multiplication

  • Fast Multiplications Using the Distributive Property

  • Special Cases of the Distributive Property

  • Mind the Mistake, Mend the Mistake

Page Number136-158


NCERT Solutions for Class 8 Maths: Chapter 7

Name of the ChapterProportional Reasoning-1
Topics
  • Observing Similarity in Change

  • Ratios

  • Ratios in their Simplest Form

  • Problem Solving with Proportional Reasoning

  • Trairasika—The Rule of Three

  • Sharing, but Not Equally!

  • Unit Conversions

Page Number159-177

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.

Frequently Asked Questions (FAQs)

1. How many chapters are there in Class 8 NCERT Maths?

According to the latest syllabus of 2025-2026, there are 7 chapters starting from Squares and cubes to Proportional Reasoning.

2. Where can I download NCERT Solutions for Class 8 Maths in PDF format?

Various educational websites, such as Careers360, provide step-by-step solutions for every chapter included in the NCERT Class 8 Maths textbook.

3. Are NCERT Solutions enough for scoring good marks in Class 8 Maths?

Yes, NCERT Solutions based on the textbooks are sufficient for scoring well in the class 8 board exams. However, for additional practice, students can use the NCERT Exemplar and other practice books.

4. Are NCERT Exemplar problems for Class 8 Maths also solved in these solutions?

No, there are separate articles for the NCERT exemplar solutions, which are also prepared by Careers360 experts. This article contains information about the solutins of the NCERT textbook of class 8.

5. Are Class 8 Maths NCERT Solutions helpful for Class 9 and 10 preparation?

Yes, Class 8 is considered a building block before starting Classes 9 and 10. The concepts learned in Class 8, such as squares, cubes, geometry, ratios, and proportions, help create a strong foundation for higher classes.  

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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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