Class 10 Maths NCERT Solutions

This page brings together the NCERT solutions for Class 10 Maths — every chapter of the current textbook, split exercise by exercise, with the full working method for each question. If you know your chapter, the directory below is the fastest route: find the exercise number printed in your book and tap straight to it.

For every subject in one place, see the Class 10 NCERT Solutions hub.

Class 10 Maths Chapter-wise Solutions: Full Directory

The table below lists all fourteen chapters of the Class 10 NCERT Mathematics textbook, each linking to its exercise-wise solutions so you can reach the exact exercise you need in one tap.

Each chapter page solves a different set of problems. Here is what every chapter in this list covers:

1. Real Numbers — proving √5 and 3 + 2√5 are irrational, with HCF and LCM found by prime factorisation; Exercise 1.2 walks the irrationality proofs step by step.
2. Polynomials — finding and verifying zeroes of quadratic polynomials, forming a polynomial from the sum and product of zeroes, and reading zeroes from graphs; Exercise 2.2 applies the zero–coefficient formulas.
3. Pair of Linear Equations in Two Variables — solving pairs by elimination and substitution side by side, plus word problems turned into equation pairs; Exercise 3.3 runs both methods on the same questions.
4. Quadratic Equations — the quadratic formula, discriminant and nature of roots; Exercise 4.3 finds roots and the value of k for equal roots.
5. Arithmetic Progressions — the nth term and the sum of n terms; Exercise 5.3 works through sum formulas with word problems.
6. Triangles — similarity criteria (AA, SSS, SAS) and the Pythagoras theorem; Exercise 6.3 practises similarity-based problems.
7. Coordinate Geometry — the distance formula, section formula and area of a triangle; Exercise 7.2 applies the section formula.
8. Introduction to Trigonometry — the six ratios, identities such as sin²θ + cos²θ = 1, and complementary angles; Exercise 8.3 evaluates expressions and proves identities.
9. Some Applications of Trigonometry — heights and distances using the angle of elevation and depression; Exercise 9.1 solves real-world survey problems.
10. Circles — tangent properties: tangent perpendicular to radius, equal tangent lengths from an external point; Exercise 10.2 proves tangent theorems.
11. Areas Related to Circles — areas of sectors and segments and of combined plane figures; Exercise 11.1 computes shaded regions.
12. Surface Areas and Volumes — surface areas and volumes of combined solids and conversion between shapes; Exercise 12.2 solves mixed-solid problems.
13. Statistics — mean, median and mode of grouped data, and cumulative-frequency curves; Exercise 13.3 finds median and mode.
14. Probability — classical probability with coins, dice and cards; Exercise 14.1 finds probabilities of simple events.

How to Use These Class 10 Maths Solutions

Every chapter page is split by the exercise numbers used in the NCERT textbook, so you can jump to the exact exercise printed in your book and follow it question by question.

• Match the exercise numbers — open the chapter, find the exercise printed in your textbook (for example, Exercise 3.3), and the page follows the same order.
• Use the method recap — several exercises end with a short summary of the solving pattern; read it after finishing a question set to lock the method in.
• Start with key concepts — each page opens with the formulas and ideas you need before the solved questions.

One honest exam note: the algebra chapters — real numbers, polynomials, linear equations and quadratic equations — carry heavy weight in the board exam, so revising them first pays off. The directory keeps the same order as the textbook. You can verify the current chapter list against the official NCERT textbook portal.

What Each Chapter Page Covers

Every solution page follows the same structure, so once you know one page you know them all.

• Full working for every question — the step-by-step method, not just the final answer, so you can follow the reasoning and check your own working.
• Key concepts and formulas at the top — the definitions, formulas and theorems you need before starting.
• Method recap at the end of several exercises — a compact summary of the pattern used, built for quick revision.

Three grounded examples: Exercise 1.2 ends by recapping the irrationality proof pattern, Exercise 3.3 teaches elimination and substitution on the same question pairs, and Exercise 4.3 centres on the discriminant and the nature of roots.

Frequently Asked Questions

How many chapters are there in Class 10 Maths NCERT?

There are 14 chapters in the Class 10 NCERT Mathematics textbook for the current syllabus. The directory above lists every one of them, with nothing missing and no extra chapters.

Which chapter should I start with for Class 10 Maths revision?

Start with the algebra chapters: real numbers, polynomials, pair of linear equations and quadratic equations. They carry the heaviest weight in the board exam, so revising them first gives you the most coverage early.

Do these Class 10 Maths solutions show the full working for every question?

Yes. Every question is answered with the full working method, not just the final answer, and several exercises end with a method recap to speed up revision.

Are these solutions based on the latest rationalised NCERT textbook?

Yes. The chapter list and exercise numbering follow the updated rationalised NCERT textbook, so every exercise number matches what is printed in the current book.

Reference: NCERT textbooks (CBSE).