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

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

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

Komal MiglaniUpdated on 16 Sep 2025, 11:55 AM 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, 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 solutions of Class 8 Maths 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.

This Story also Contains

NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 8 Maths Chapter Details
Importance of NCERT Solutions for Class 8
NCERT Books for Class 8 Maths – Previous year Chapters
Tips to Effectively Prepare for Maths Class 8
NCERT Books and NCERT Syllabus

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 NCERT.

NCERT Solutions for Class 8 Maths

We at Careers360 compiled all the class 8 Maths solutions in one place for easy student reference. This page gives you direct access to all NCERT Class 8 Maths solutions, without the hassle of searching around.

NCERT Solutions for Class 8 Maths Chapter 1 A Square and A Cube

NCERT Solutions for Class 8 Maths Chapter 2 Power Play

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers

NCERT Solutions for Class 8 Maths Chapter 4 Quadrilaterals

NCERT Solutions for Class 8 Maths Chapter 5 Number Play

NCERT Solutions for Class 8 Maths Chapter 6 We Distribute, Yet Things Multiply

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning-1

NCERT Solutions for Class 8 Maths Chapter Details

Here’s the complete list of NCERT Class 8 Maths chapters with their topics.

NCERT Solutions for Class 8 Maths Chapter 1 A Square and A Cube

Name of the Chapter	A Square and A Cube
Topics	Introduction Square Numbers Patterns and Properties of Perfect Squares Perfect Squares and Odd Numbers Perfect Squares and Triangular Numbers Square Roots Cubic Numbers Taxicab Numbers Perfect Cubes and Consecutive Odd Numbers Cube Roots Successive Differences A Pinch of History
Page Number	1-18

NCERT Solutions for Class 8 Maths Chapter 2 Power Play

Name of the Chapter	Power Play
Topics	Experiencing the Power Play Exponential Notation and Operations The Other Side of Powers Power Lines Powers of 10 Did You Ever Wonder? Linear Growth vs. Exponential Growth Getting a Sense for Large Numbers A Pinch of History
Page Number	19-47

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers

Name of the Chapter	A Story of Numbers
Topics	Introduction The Mechanism of Counting Some Early Number Systems The Egyptian Number System Variations on the Egyptian System and the Notion of Base Shortcomings of the Egyptian System The Mesopotamian Number System The Mayan Number System The Chinese Number System The Hindu Number System
Page Number	48-81

NCERT Solutions for Class 8 Maths Chapter 4 Quadrilaterals

Name of the Chapter	Quadrilaterals
Topics	Rectangles and Squares Properties of Rectangles and Squares Properties of a parallelogram A Special Rectangle Angles in a Quadrilateral More Quadrilaterals with Parallel Opposite Sides Quadrilaterals with Equal Side Lengths Playing with Quadrilaterals Kite and Trapezium
Page Number	82-111

NCERT Solutions for Class 8 Maths Chapter 5 Number Play

Name of the Chapter	Number Play
Topics	Sum of Consecutive Numbers Breaking Even Numbers Pairs to Make Fours Remainder Checking Divisibility Quickly Digits in Disguise
Page Number	112-135

NCERT Solutions for Class 8 Maths Chapter 6 We Distribute, Yet Things Multiply

Name of the Chapter	We 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 This Way or That Way, All Ways Lead to the Bay
Page Number	136-158

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning-1

Name of the Chapter	Proportional 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 Number	159-177

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 for Class 8 Maths – Previous year Chapters

It’s important to know which chapters were part of the Class 8 Maths syllabus last year compared to this year. Below is the list of chapters from the previous year’s Class 8 Maths book.

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: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 13: Direct and Inverse Proportions

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing with Numbers

Tips to Effectively Prepare for Maths Class 8

Class 8 is very important, as the concepts learnt in this class will also be useful in class 9 and class 10. Here are some tips that students can follow to prepare for Maths in class 8 efficiently.

Analyse the latest NCERT syllabus and break the chapters into units like Algebra, Geometry, etc.
Prepare a study plan incorporating all the subjects.
Do not just memorise formulas but also focus on how they are derived.
Do not jump into exercises first. First, understand all the concepts along with the solved examples. Also, check the diagrams and shapes before jumping to exercises.
Daily practice for 30 to 45 minutes to retain concepts.
Practice additional books such as RS Aggarwal and RD Sharma for a better understanding of the topics.
Maintain a separate notebook to write formulas, theorems and key concepts.
Take time-based mock tests to evaluate your preparation.

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)

Q: Do NCERT Solutions include diagrams and figures?

Yes. For geometry and construction-based chapters, solutions often include diagrams, shapes, and figures to make the steps clearer.

Q: How many chapters are there in Class 8 NCERT Maths?

According to the latest syllabus of 2025-2026, there are 7 chapters in Class 8 Maths, beginning with Squares and Cubes and ending with Proportional Reasoning–1.

Q: 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.

Q: 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.

Q: 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.

Articles

CGPA Calculator - Know How to Calculate CGPA

Sep 19, 2025

SOF IHO Exam 2026 – Dates, Registration, Syllabus & Pattern

Sep 19, 2025

NRTS Answer Key 2025 - Check National Rural Talent Scholarship Exam Result Solution Key Here

Sep 19, 2025

IOQM Admit Card 2025: Download Indian Olympiad Qualifier in Mathematics Hall Ticket

Sep 17, 2025

Upcoming School Exams

National Means Cum-Merit Scholarship

Ongoing Dates

NMMS Application Date

25 Jul'25 - 30 Sep'25 (Online)

Assam High School Leaving Certificate Examination

Ongoing Dates

Assam HSLC Application Date

1 Sep'25 - 4 Oct'25 (Online)

Maharashtra Higher Secondary School Certificate Examination

Ongoing Dates

Maharashtra HSC Board Application Date

8 Sep'25 - 30 Sep'25 (Online)

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) $0.67\; J$

Read Complete Answer

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

Read Complete Answer

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) $20,000 \, \, J - 50,000 \, \, J$

Read Complete Answer

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) $K/4$

Read Complete Answer

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 .

Read Complete Answer

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

Read Complete Answer

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.

Read Complete Answer

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.

Read Complete Answer

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

Read Complete Answer

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