Courses
- Why Choose Infinity Learn's NCERT Solutions for Class 8 Maths?
- Complete NCERT Solutions for Class 8 Maths - All Chapters
- Detailed Chapter-wise NCERT Solutuon for Class 8 Maths
- Most Important Chapters for CBSE Exams
- Subject Integration Benefits
- Effective Study Strategy for Class 8 Maths
- Problem-Solving Strategy
- Mathematical Tools and Resources
- Common Mistakes to Avoid in Class 8
- Building a Foundation for Future Competitive Exams
- Related NCERT Solutions - Build Your Foundation
- FAQs: NCERT Solution for Class 8 Maths
NCERT Solution for Class 8 Maths: Download PDF
By rohit.pandey1
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Updated on 5 Jun 2025, 15:24 IST
Get Free NCERT Solutions for Class 8 Maths with detailed explanations, step-by-step solutions, and PDF downloads for all chapters. Updated for CBSE 2025-26 syllabus.
Why Choose Infinity Learn's NCERT Solutions for Class 8 Maths?
Infinity Learn provides comprehensive NCERT solutions for Class 8 Maths that are specifically designed to help students master mathematical concepts with confidence. Our NCERT textbook solutions for Class 8 Maths cover all 16 chapters with detailed step-by-step solutions, making complex mathematical problems easy to understand.
Key Features of NCERT Solution for Class 8 Maths:
- Complete Coverage: All chapters from the NCERT solution for Class 8 Maths book
- Step-by-step Solutions: Detailed explanations for every exercise question
- Free PDF Downloads: Downloadable NCERT solutions for Class 8 Maths PDF format
- Exam-Focused: Aligned with CBSE examination patterns and marking schemes
- Visual Learning: Diagrams, graphs, and illustrations for better understanding
Complete NCERT Solutions for Class 8 Maths - All Chapters
Our NCERT solutions for Class 8 Maths provide comprehensive coverage of all topics prescribed in the CBSE syllabus. Each solution follows a logical approach to enhance problem-solving skills and mathematical reasoning.
Chapter-wise NCERT Solution for Class 8 Maths:
| Chapter | Chapter Name | Key Topics | Download PDF |
| Chapter 1 | Rational Numbers | Operations on rational numbers, Properties | Download |
| Chapter 2 | Linear Equations in One Variable | Solving equations, Applications | Download |
| Chapter 3 | Understanding Quadrilaterals | Properties, Types, Angle sum | Download |
| Chapter 4 | Data Handling | Frequency distribution, Histograms, Pie charts | Download |
| Chapter 5 | Square and Square Roots | Perfect squares, Square root methods | Download |
| Chapter 6 | Cube and Cube Roots | Perfect cubes, Cube root calculations | Download |
| Chapter 7 | Comparing Quantities | Ratios, Percentages, Profit-Loss, SI-CI | Download |
| Chapter 8 | Algebraic Expressions and Identities | Like terms, Identities, Multiplication | Download |
| Chapter 9 | Mensuration | Area and perimeter of 2D shapes | Download |
| Chapter 10 | Exponents and Powers | Laws of exponents, Standard form | Download |
| Chapter 11 | Direct and Inverse Proportions | Proportional relationships, Applications | Download |
| Chapter 12 | Factorisation | Common factors, Identities, Division | Download |
| Chapter 13 | Introduction to Graphs | Linear graphs, Coordinate geometry | Download |
| Chapter 14 | Playing with Numbers | Number patterns, Divisibility rules | Download |
| Chapter 15 | Surface Areas and Volumes | 3D shapes, Calculations | Download |
| Chapter 16 | Playing with Numbers (General Form) | General form of numbers | Download |
Detailed Chapter-wise NCERT Solutuon for Class 8 Maths
NCERT Solutions for Class 8 Maths Chapter 1: Rational Numbers
Our NCERT solutions for Class 8 Maths Chapter 1 provide comprehensive understanding of rational numbers and their operations.
Important Topics in NCERT Solutions for Rational Numbers:
- Properties of rational numbers (closure, commutative, associative)
- Operations: addition, subtraction, multiplication, division
- Finding rational numbers between two given rational numbers
- Representation of rational numbers on number line
Important Concepts Covered:
| Topic | Key Points | Applications |
| Properties | Closure, Commutative, Associative, Distributive | Problem solving |
| Operations | Addition, Subtraction, Multiplication, Division | Real-life calculations |
| Representation | Number line, Equivalent fractions | Visual understanding |
| Between Numbers | Finding rational numbers between given numbers | Mathematical reasoning |
NCERT Solutions for Class 8 Maths Chapter 2: Linear Equations in One Variable
The NCERT solutions for Class 8 Maths Chapter 2 focus on solving linear equations and their practical applications.
Core Topics:
- Solving equations having variables on both sides
- Solving equations with fractions and decimals
- Word problems and real-life applications
- Verification of solutions
Step-by-step Approach:
- Simplification: Remove brackets and combine like terms
- Transposition: Move variables to one side, constants to other
- Solution: Find the value of variable
- Verification: Check the solution in original equation
NCERT Solutions for Class 8 Maths Chapter 3: Understanding Quadrilaterals
Our NCERT solutions for Class 8 Maths Chapter 3 explore the properties and classifications of quadrilaterals.
| Quadrilateral Type | Properties | Special Features |
| Parallelogram | Opposite sides parallel and equal | Diagonals bisect each other |
| Rectangle | All angles 90°, opposite sides equal | Diagonals equal in length |
| Rhombus | All sides equal, opposite angles equal | Diagonals perpendicular |
| Square | All sides equal, all angles 90° | All properties combined |
| Trapezium | One pair of parallel sides | Various types possible |
NCERT Solutions for Class 8 Maths Chapter 4: Data Handling
The NCERT solutions for Class 8 Maths Chapter 4 introduce statistical concepts and data representation methods.
Key Components:
- Frequency distribution tables
- Histograms and their construction
- Pie charts and circle graphs
- Probability concepts and applications
NCERT Solutions for Class 8 Maths Chapter 5: Square and Square Roots
Our NCERT solutions for Class 8 Maths Chapter 5 provide comprehensive methods for finding square roots.
Methods Covered:
- Prime factorization method: Breaking into prime factors
- Division method: Long division technique
- Estimation method: Approximating square roots
- Properties: Using perfect square patterns
Important Applications of Square and Square Roots
| Concept | Real-life Use | Mathematical Importance |
| Perfect Squares | Area calculations | Number theory |
| Square Roots | Engineering problems | Advanced mathematics |
| Estimation | Quick calculations | Mental math |
| Patterns | Sequence identification | Logical reasoning |
NCERT Solutions for Class 8 Maths Chapter 6: Cube and Cube Roots
The NCERT solutions for Class 8 Maths Chapter 6 focus on understanding cubes and methods to find cube roots.
Core Concepts:
- Perfect cubes and their properties
- Cube root by prime factorization
- Cube root by estimation
- Patterns in cubes and cube roots
NCERT Solutions for Class 8 Maths Chapter 7: Comparing Quantities
Our NCERT solutions for Class 8 Maths Chapter 7 cover ratios, percentages, and their practical applications.
Comprehensive Topics:
| Topic | Applications | Real-life Examples |
| Ratios and Proportions | Recipe scaling, Map reading | Cooking, Geography |
| Percentages | Discounts, Taxes | Shopping, Finance |
| Profit and Loss | Business calculations | Commerce |
| Simple Interest | Banking, Loans | Financial planning |
| Compound Interest | Investments, Growth | Long-term planning |
NCERT Solutions for Class 8 Maths Chapter 8: Algebraic Expressions and Identities
The NCERT solutions for Class 8 Maths Chapter 8 introduce algebraic manipulation and standard identities.
Key Learning Areas:
- Addition and subtraction of algebraic expressions
- Multiplication of algebraic expressions
- Standard identities: (a+b)², (a-b)², (a+b)(a-b)
- Application of identities in problem solving
Standard Identities Covered:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a + b)(a - b) = a² - b²
- (x + a)(x + b) = x² + (a + b)x + ab
NCERT Solutions for Class 8 Maths Chapter 9: Mensuration
Our NCERT solutions for Class 8 Maths Chapter 9 focus on area calculations for various geometric shapes.
Shapes Covered:
| Shape | Area Formula | Perimeter Formula |
| Trapezium | ½ × (sum of parallel sides) × height | Sum of all sides |
| Rhombus | ½ × d₁ × d₂ (diagonals) | 4 × side |
| General Quadrilateral | Using triangulation | Sum of all sides |
| Irregular Shapes | Breaking into regular shapes | Adding boundary lengths |
NCERT Solutions for Class 8 Maths Chapter 10: Exponents and Powers
The NCERT solutions for Class 8 Maths Chapter 10 establish the foundation for understanding powers and their laws.
Laws of Exponents:
- aᵐ × aⁿ = aᵐ⁺ⁿ
- aᵐ ÷ aⁿ = aᵐ⁻ⁿ
- (aᵐ)ⁿ = aᵐⁿ
- a⁰ = 1 (where a ≠ 0)
NCERT Solutions for Class 8 Maths Chapter 11: Direct and Inverse Proportions
Our NCERT solutions for Class 8 Maths Chapter 11 explore proportional relationships and their applications.
Types of Proportions:
| Type | Relationship | Graph | Examples |
| Direct Proportion | y ∝ x (y = kx) | Straight line through origin | Speed-Distance, Cost-Quantity |
| Inverse Proportion | y ∝ 1/x (xy = k) | Hyperbola | Speed-Time, Workers-Time |
NCERT Solutions for Class 8 Maths Chapter 12: Factorisation
The NCERT solutions for Class 8 Maths Chapter 12 cover various methods of factorizing algebraic expressions.
Factorisation Methods:
- Common factor method
- Grouping method
- Using algebraic identities
- Trial and error method for quadratics
NCERT Solutions for Class 8 Maths Chapter 13: Introduction to Graphs
Our NCERT solutions for Class 8 Maths Chapter 13 introduce coordinate geometry and linear graphs.
Graph Types Covered:
- Linear graphs and their equations
- Distance-time graphs
- Coordinate geometry basics
- Plotting points and reading graphs
NCERT Solutions for Class 8 Maths Chapter 15: Surface Areas and Volumes
The NCERT solutions for Class 8 Maths Chapter 15 deal with 3D geometry calculations.
3D Shapes Covered:
| Shape | Surface Area | Volume |
| Cuboid | 2(lb + bh + hl) | l × b × h |
| Cube | 6a² | a³ |
| Cylinder | 2πr(r + h) | πr²h |
| Cone | πr(r + l) | ⅓πr²h |
| Sphere | 4πr² | ⅔πr³ |
Most Important Chapters for CBSE Exams
High-Weightage Chapters
- Chapter 8: Algebraic Expressions and Identities - Foundation for higher algebra
- Chapter 12: Factorisation - Advanced algebraic techniques
- Chapter 7: Comparing Quantities - Real-life applications
- Chapter 15: Surface Areas and Volumes - 3D geometry fundamentals
Medium-Weightage Chapters
- Chapter 1: Rational Numbers - Number system foundation
- Chapter 2: Linear Equations - Problem-solving skills
- Chapter 5: Square and Square Roots - Important for higher math
- Chapter 9: Mensuration - Practical geometry
Standard-Weightage Chapters
- Chapter 3: Understanding Quadrilaterals - Geometry basics
- Chapter 4: Data Handling - Statistics introduction
- Chapter 6: Cube and Cube Roots - Number properties
- Chapter 10: Exponents and Powers - Algebraic foundations
Subject Integration Benefits
| Class 8 Maths Chapter | Related Science Topic | Real-life Application |
| Data Handling | Scientific Data Analysis | Research and Statistics |
| Mensuration | Physics Measurements | Engineering and Architecture |
| Exponents and Powers | Scientific Notation | Large number calculations |
| Graphs | Physics Graphs | Data interpretation |
Effective Study Strategy for Class 8 Maths
Daily Study Schedule
| Time Slot | Activity | Focus Area |
| 40 mins | Chapter Study | Concept Understanding |
| 30 mins | NCERT Exercise | Problem Practice |
| 20 mins | Previous Day Revision | Memory Reinforcement |
| 10 mins | Formula Review | Quick Reference |
Chapter-wise Study Approach
Number System Chapters (1, 5, 6, 10, 14, 16)
- Focus: Properties and operations
- Method: Practice calculations and understand patterns
- Practice: Mental math and estimation techniques
Algebra Chapters (2, 8, 12)
- Focus: Variable manipulation and identities
- Method: Step-by-step problem solving
- Practice: Pattern recognition and formula application
Geometry Chapters (3, 9, 15)
- Focus: Shapes, properties, and measurements
- Method: Visual learning with diagrams
- Practice: Construction and calculation problems
Applied Mathematics Chapters (4, 7, 11, 13)
- Focus: Real-life applications and data interpretation
- Method: Practical problem solving
- Practice: Word problems and graph reading
Exam Preparation Timeline
3 Months Before Exam
- Complete all NCERT textbook solutions for Class 8 Maths
- Master fundamental concepts in each chapter
- Create formula sheets and important points
1 Month Before Exam
- Intensive practice using NCERT solutions for Class 8 Maths
- Solve previous year question papers
- Focus on high-weightage chapters and weak areas
1 Week Before Exam
- Quick revision using formula sheets
- Practice time-bound mock tests
- Review common mistake patterns
Problem-Solving Strategy
For Word Problems:
- Read Carefully: Understand what is asked
- Identify Information: Extract given data
- Plan Solution: Choose appropriate method
- Solve Step-by-step: Show all working
- Verify Answer: Check if solution makes sense
For Algebraic Problems:
- Simplify: Remove brackets and combine like terms
- Apply Identities: Use standard algebraic identities
- Factor: Break down complex expressions
- Solve: Find the value of unknowns
- Check: Substitute back to verify
Mathematical Tools and Resources
Essential Formulas by Chapter
| Chapter | Key Formulas | Applications |
| Rational Numbers | a/b + c/d = (ad + bc)/bd | Fraction operations |
| Linear Equations | If ax + b = 0, then x = -b/a | Problem solving |
| Mensuration | Area of trapezium = ½(a+b)h | Geometry calculations |
| Algebraic Identities | (a+b)² = a² + 2ab + b² | Algebraic simplification |
| Surface Areas | CSA of cylinder = 2πrh | 3D measurements |
Common Mistakes to Avoid in Class 8
| Topic | Common Error | Correct Approach |
| Rational Numbers | Adding denominators directly | Find LCM first |
| Linear Equations | Not maintaining equality | Same operation on both sides |
| Identities | Incorrect expansion | Memorize standard forms |
| Mensuration | Unit confusion | Check units throughout |
| Factorisation | Incomplete factoring | Factor completely |
Building a Foundation for Future Competitive Exams
Foundation for Class 9 Maths
Our NCERT solutions for Class 8 Maths provide essential foundation for:
- Number Systems - Rational and irrational numbers
- Polynomials - Building on algebraic expressions
- Linear Equations - Advanced equation solving
- Geometry - Coordinate geometry and proofs
Preparation for Class 10 Maths
Class 8 concepts directly support:
- Real Numbers - Extension of rational numbers
- Polynomial Equations - Advanced factorization
- Mensuration - Advanced area and volume calculations
- Statistics - Building on data handling concepts
Competitive Exam Preparation
These concepts are fundamental for:
- NTSE - Mathematical reasoning and problem solving
- IMO - International Mathematics Olympiad preparation
- Foundation courses - JEE and NEET foundation
- Scholarship exams - Various state and national level exams
Related NCERT Solutions - Build Your Foundation
- NCERT Solutions for Class 8 Science
- NCERT Solutions for Class 8 Social Science
- NCERT Solutions for Class 8 English
- NCERT Solutions for Class 8 Hindi
- NCERT Solutions for Class 9 Maths
- NCERT Solutions for Class 9 Maths Chapter 1
- NCERT Solutions for Class 9 Maths Chapter 2
- NCERT Solutions for Class 9 Science
Download our free NCERT Solution for Class 8 Maths and transform your mathematical understanding!
FAQs: NCERT Solution for Class 8 Maths
How to get 100 marks in Maths Class 8?
To get 100 marks in Class 8 Maths, focus on understanding NCERT concepts thoroughly, solve all examples and exercises, revise regularly, and practice previous year questions. Using NCERT Solutions for Class 8 Maths helps clear doubts and ensures accuracy in stepwise answers.
How to study Class 8 Maths effectively?
Study Class 8 Maths effectively by breaking each chapter into concepts, practicing NCERT questions daily, and using NCERT solutions to verify your answers. Use visual aids like diagrams, formulas, and solved examples to strengthen your understanding.
Which is the most important chapter in Class 8 Maths?
Some of the most important chapters in Class 8 Maths include Linear Equations in One Variable, Mensuration, and Algebraic Expressions. These chapters are frequently used in higher classes and are essential for competitive exams like NTSE and Olympiads.
Is Class 8 Maths tough?
Class 8 Maths is not tough if you build your basics well. NCERT textbooks are designed to explain concepts clearly. Regular practice using NCERT Solutions for Class 8 Maths can make learning easier and help overcome challenges.
What is Chapter 1 of Class 8 Maths NCERT?
Chapter 1 of Class 8 Maths NCERT is Rational Numbers. It introduces positive and negative rational numbers, operations on rational numbers, and their properties. This chapter is foundational for algebra and number systems in higher classes.
How to score 95+ in Class 8 Maths?
To score 95+ in Class 8 Maths, follow a strict revision schedule, solve all NCERT questions, take mock tests, and focus on accuracy. Reviewing NCERT Class 8 Maths solutions after solving helps correct errors and improves your confidence.
Is 90% good in Class 8 Maths?
Yes, scoring 90% in Class 8 Maths is considered excellent. It indicates strong understanding and consistent practice, especially if you rely on NCERT materials and solutions. Maintaining this performance prepares you well for Class 9 and 10 boardlevel Maths.
Which chapters are removed from Class 8 Maths in 202526 NCERT?
As per the new NCERT syllabus revision for 2025–26, some topics may be streamlined or integrated. To stay updated, always check the official NCERT website or your school’s syllabus. Updated NCERT solutions for Class 8 Maths will reflect these changes.
Are CBSE and NCERT the same for Class 8 Maths?
No, CBSE is the board of education, while NCERT is the textbook publisher. However, CBSE Class 8 Maths syllabus is entirely based on NCERT textbooks, making NCERT solutions highly relevant for exam preparation.
Will NCERT Maths book change in 2025-26?
Yes, NCERT textbooks for Class 8 may undergo changes under the NCF 2023 guidelines. The new editions for 2025–26 will include updated concepts and structure. Make sure you refer to the latest NCERT Class 8 Maths solutions aligned with the revised content.