Mastering Class 9 Maths is crucial for building a strong foundation for higher studies. The NCERT textbook is the best resource for understanding concepts clearly and preparing for exams. However, students often face challenges in solving problems and need reliable Class 9 Maths NCERT solutions for better understanding.
In this blog, we provide chapter-wise NCERT solutions for Class 9 Maths with step-by-step explanations. These solutions are designed to help students grasp concepts easily, practice effectively, and score higher marks in exams.
Chapter-wise Class 9 Maths NCERT Solutions
Here’s a list of all 12 chapters in the Class 9 Maths NCERT textbook, along with direct links to detailed solution
| S.no | Chapter Name | Solutions pdf |
|---|---|---|
| 1. | Number Systems | Ex_1.1 Ex_1.2 Ex_1.3 Ex_1.4 Ex_1.5 |
| 2. | Polynomials | Ex_2.1 Ex_2.2 Ex_2.3 Ex_2.4 |
| 3. | Coordinate Geometry | Ex_3.1 Ex_3.2 |
| 4. | Linear Equations in two variables | Ex_4.1 Ex_4.2 |
| 5. | Introduction to Euclid’s geometry | Ex_5.1 |
| 6. | Lines and Angles | Ex_6.1 Ex_6.2 |
| 7. | Triangles | Ex_7.1 Ex_7.2 Ex_7.3 |
| 8. | Quadrilaterals | Ex_8.1 Ex_8.2 |
| 9. | Circles | Ex_9.1 Ex_9.2 Ex_9.3 |
| 10. | Heron’s Formula | Ex_10.1 |
| 11. | Surface area and Volumes | Ex_11.1 Ex_11.2 Ex_11.3 Ex_11.4 |
| 12. | Statistics | Ex_12.1 |
Why NCERT Class 9 Maths Solutions Are Important?
NCERT textbooks are the gold standard for CBSE and many state board students. Here’s why NCERT solutions are crucial:
✔ Aligned with CBSE Syllabus – Follows the latest NCERT curriculum.
✔ Step-by-Step Explanations – Helps in understanding concepts clearly.
✔ Exam-Oriented Approach – Covers all important questions for exams.
✔ Builds Strong Foundation – Essential for competitive exams like Olympiads, NTSE, and JEE/NEET foundation.
Chapter-wise Class 9 NCERT Maths Solutions
Here’s a detailed breakdown of all 12 chapters in Class 9 Maths NCERT, along with solved exercises:
1. Number Systems
- Rational & irrational numbers
- Real numbers and their decimal expansions
- Operations on real numbers
📌 Key Topics: √2 is irrational, laws of exponents, number line representation.
2. Polynomials
- Types of polynomials (Linear, Quadratic, Cubic)
- Remainder Theorem & Factor Theorem
- Algebraic identities
📌 Key Topics: Factorization, zeroes of a polynomial, (x + y + z)² formula.
3. Coordinate Geometry
- Cartesian plane
- Plotting points
- Distance formula (Basic introduction)
📌 Key Topics: Quadrants, coordinates, abscissa & ordinate.
4. Linear Equations in Two Variables
- Graph of a linear equation
- Solutions of equations
- Real-life applications
📌 Key Topics: Parallel lines, consistency of equations.
5. Introduction to Euclid’s Geometry
- Euclid’s axioms & postulates
- Definitions (Point, Line, Plane)
- Intersecting & parallel lines
📌 Key Topics: Euclid’s fifth postulate.
6. Lines and Angles
- Types of angles (Acute, Obtuse, Right)
- Parallel lines & transversal
- Angle sum property of a triangle
📌 Key Topics: Vertically opposite angles, linear pair axiom.
7. Triangles
- Congruence rules (SSS, SAS, ASA, RHS)
- Properties of triangles
- Inequalities in triangles
📌 Key Topics: Isosceles triangle theorem, Pythagoras theorem.
8. Quadrilaterals
- Properties of parallelograms
- Mid-point theorem
- Types of quadrilaterals
📌 Key Topics: Diagonals of a parallelogram, rhombus properties.
9. Circles
- Chord properties
- Angle subtended by chords
- Cyclic quadrilaterals
📌 Key Topics: Perpendicular from center to chord.
10. Heron’s Formula
- Area of triangle using Heron’s formula
- Applications in quadrilaterals
📌 Key Topics: √[s(s-a)(s-b)(s-c)] formula.
11. Surface Areas and Volumes
- Cuboid, Cube, Cylinder, Cone, Sphere
- TSA & LSA formulas
📌 Key Topics: 2πrh, 4πr², πrl formulas.
12. Statistics
- Mean, Median, Mode
- Graphical representation
📌 Key Topics: Bar graphs, histograms, frequency polygons.
💡 Pro Tips to Score High in Class 9 Maths
- Practice NCERT problems daily
- Revise formulas and theorems weekly
- Focus on understanding the ‘why’ behind each concept
- Use diagrams where applicable
- Take regular mock tests using NCERT-based sample papers
Beyond the Textbook: Building a Strong Mathematical Mindset 💪
While NCERT solutions are a powerful tool, remember that true mathematical proficiency comes from:
- Critical Thinking: Learning to analyze problems and devise strategies.
- Problem-Solving Skills: Applying various concepts to solve novel challenges.
- Patience and Perseverance: Math can be tough, but persistence pays off.
- Enjoying the Process: Finding the beauty in numbers and logic makes learning fun!
🔍 FAQs – Class 9 NCERT Maths Solutions
Q1: Are NCERT solutions enough for Class 9 Maths exams?
Ans: Yes. NCERT books and their solutions are the primary resource for CBSE Class 9 exams. Most exam questions are directly from the textbook.
Q2: Where can I find free NCERT Class 9 Maths Solutions?
Ans: You can access detailed and free Class 9 Maths NCERT solutions on trusted educational websites like ToppersGuru.com.
Q3: Do these solutions help in competitive exams like NTSE?
Ans: Absolutely! A strong grasp of NCERT concepts gives you an edge in NTSE and Olympiads.