Preparing for Class 10 board exams becomes much easier when you have clear, step-by-step NCERT class X maths solutions. These solutions help you understand concepts properly, solve numerical problems confidently, and revise smartly for CBSE exams.
In this guide, you get complete, chapter-wise NCERT maths solutions class 10 explained in a simple and student-friendly manner.
Why These Maths NCERT Class 10 Solutions Are Important
NCERT Class 10 Mathematics forms the foundation for higher studies in science, commerce, engineering, data science, coding, and competitive exams. These solutions will help you:
- Understand each chapter concept clearly
- Learn step-by-step methods for every problem
- Practice effectively for CBSE board exams
- Build strong fundamentals in algebra, geometry, and trigonometry
- Improve speed, accuracy, and confidence
These NCERT solutions class 10th maths align perfectly with the latest CBSE syllabus, ensuring exam-ready preparation.
Chapter-Wise NCERT Solutions Class 10 Mathematics
Below is the complete list of chapters covered under NCERT maths solutions class 10:
Chapter 1 – Real Numbers
Topics include Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, LCM–HCF, and decimal expansions. Solutions explain each property with examples and clear steps.
Chapter 2 – Polynomials
Learn about zeroes of polynomials, relationship between zeroes and coefficients, and division algorithm. Solutions help strengthen algebraic basics.
Chapter 3 – Pair of Linear Equations in Two Variables
Master graphical and algebraic methods: substitution, elimination, cross-multiplication, and equations reducible to linear form.
Chapter 4 – Quadratic Equations
Understand factorisation, completing the square, quadratic formula, and roots’ nature. Every solution includes justification and steps.
Chapter 5 – Arithmetic Progressions
Find nth term, sum of n terms, and real-life applications of AP. Solutions explain formulas with easy examples.
Chapter 6 – Triangles
Covers similarity of triangles, area ratios, and Pythagoras theorem. Solutions include proof-based questions for exam excellence.
Chapter 7 – Coordinate Geometry
Learn distance formula, section formula, and area of a triangle using coordinates.
Chapter 8 – Introduction to Trigonometry
Build strong basics of trigonometric ratios, identities, and applications.
Chapter 9 – Applications of Trigonometry
All height-and-distance problems solved step-by-step with diagrams.
Chapter 10 – Circles
Understand tangents, chords, and theorems based on perpendicular radii.
Chapter 11 – Constructions
Solutions include constructing angles, triangles, and divisions of a line segment using geometrical tools.
Chapter 12 – Areas Related to Circles
Covers area calculations of sectors, segments, and various circle-based shapes.
Chapter 13 – Surface Areas and Volumes
Learn mensuration of 3-D shapes like cone, cylinder, sphere, and combinations.
Chapter 14 – Statistics
Includes mean, median, mode (grouped data), and cumulative frequency concepts.
Chapter 15 – Probability
Simple, easy explanations for theoretical probability and real-life examples.
How to Use These NCERT Maths Solutions Class 10 for Best Results
- Read the concept from the NCERT textbook first
- Solve the exercise yourself, then check the steps
- Maintain a formula notebook for quick revision
- Practice boards-level questions after completing each chapter
- Revise regularly using these solutions for full exam-ready preparation
Final Thoughts
These maths NCERT class 10 solutions are designed to help you prepare smartly and score high in your board exams. Whether you’re revising a tough chapter or starting a new one, these solutions provide clarity, accuracy, and confidence.
