NCERT Book Class 10th Maths for 2026-27 Board Exams

NCERT Maths Class 10 textbook PDF for the academic session 2026-27 is a comprehensive resource for the students. It is completely aligned with the latest CBSE syllabus and helps students get acquainted with real-life applications of the chapters. 

It is curated to build strong logical thinking, problem-solving ability and conceptual clarity through chapters like Real Number, Probability and related.

2026-27 NCERT Class 10 Maths Book PDF Download

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NCERT Class 10 Mathematics Book PDF Overview

The NCERT Class 10 Mathematics book develops a solid understanding of mathematical concepts through well-structured examples, activities, theorems, and practical applications. It encourages students to recognise patterns, and solve problems systematically while preparing effectively for the Class 10 board exams.

NCERT Class 10 Mathematics Chapters (2026-27)

NCERT Class 10 Mathematics textbook consists of the following chapters: 

• Real Numbers
• Polynomials
• Pair of Linear Equations in Two Variables
• Quadratic Equations
• Arithmetic Progressions
• Triangles
• Coordinate Geometry
• Introduction to Trigonometry
• Some Applications of Trigonometry
• Circles
• Areas Related to Circles
• Surface Areas and Volumes
• Statistics
• Probability
• APPENDIX
• ANSWERS

Key Highlights for NCERT Class 10 Mathematics

Before going through the NCERT book for Mathematics, these crucial pointers should be known as they highlight the important features about the book. 

• Based on the latest CBSE syllabus for 2026-27
• Single, well-structured book with 14 chapters covering Algebra, Geometry, Trigonometry, Mensuration, Statistics, and Probability
• Includes detailed examples, activities, theorems, and NCERT exercises
• Chapter-wise solutions, important questions, and additional practice material available
• Supports board exam preparation with emphasis on step-by-step solutions, graphs, diagrams, and application-based problems

Mathematics NCERT Class 10 Study Material

For Class 10 Mathematics, NCERT book is prescribed by CBSE as it is designed as per the CBSE curriculum and fits the chapter understanding required for board exams. 

Some Important Qs from Class 10 Mathematics NCERT

With the latest CBSE Class 10 Mathematics sample papers introducing a higher number of competency-based questions, regular and focused question practice has become more important than ever.

We have carefully selected a few important NCERT questions that cover the entire Class 10 Maths syllabus for the 2026-27 session and are most likely to appear in the board exams.

Chapter 1: Real Numbers 

1. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.

Ans. (i) Given, 7 × 11 × 13 + 13

= 13 × (7 × 11 + 1)

= 13 × (77 + 1)

= 13 × 78

= 13 × 13 × 3 × 2

It means factors of given expression are 2, 3 and 13 respectively. Hence, it is composite

number.

(ii) 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5

= 5(7 × 6 × 4 × 3 × 2 + 1)

= 5 × (1008 + 1)

= 5 × 1009

Factors of the given expression are 5 and 1009. Hence, it is a composite number.

Chapter 3: Pair of Linear Equations in Two Variables 

2. Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3. 

Ans. Given, 2x + 3y = 11 ...(i)

2x – 4y = – 24 ...(ii)

From eqn. (ii) 2x = 4y – 24

x = 2y – 12 ...(iii)

Putting the value of x from eqn. (iii) in eqn. (i),

2(2y – 12) + 3y = 11

4y – 24 + 3y = 11

7y = 11 + 24 = 35

y = 35/7 = 5

Putting the value of y in eqn. (iii),

x = 2 (5) – 12

= 10 – 12

x = – 2

So, x = – 2, y = 5

Now, putting the value of x and y in y = mx + 3 5 …..= m(– 2) + 3

m = 2/-2 = -1

∴ m = – 1

Chapter 4: Quadratic Equations

3. Find two consecutive positive integers, sum of whose squares is 365.

Ans. Let x and x + 1 be two consecutive positive integers.

Then A.T.Q.,x²+ (x + 1)² = 365

x²+ x²+ 2x + 1 = 365 [∵ (a + b)²= a²+ 2ab + b²]

2x²+ 2x – 364 = 0

2(x²+ x – 182) = 0

x²+ x – 182 = 0

x²+(14 - 13)x - 182 = 0

x²+ 14x – 13x – 182 = 0

x(x + 14) – 13(x + 14) = 0

(x + 14)(x – 13) = 0

If x + 14 = 0 ⇒ x = – 14

and x – 13 = 0 ⇒ x = 13

∵ x is a positive integer.

⇒ x = – 14 is invalid.

So, x = 13 and x + 1 = 13 + 1 = 14

Hence, two consecutive positive integers are 13 and 14.

Chapter 5: Arithmetic Progressions

4. For the following APs, write First term and the common difference :

(i) 3, 1, – 1, – 3, ...

(ii) – 5, – 1, 3, 7, ...

(iii) 1/3, 5/3, 9/3, 13/3….

(iv) 0.6, 1.7, 2.8, 3.9, …

‍

Ans. (i) Given AP : 3, 1, – 1, – 3 …

First term (a) = 3

Common difference (d) = 1 – 3 = – 2

(ii) Given AP : – 5, – 1, 3, 7 ...

First term (a) = – 5

Common difference (d) = a₂ – a₁ = –1 – (– 5)

= – 1 + 5 = 4

(iii) Given AP : 1/3, 5/3, 9/3,13/3…

First term (a) = 1/3

Common difference (d) = a₂ – a₁ = 5/3-1/3 = 4/3

(iv) Given AP : 0.6, 1.7, 2.8, 3.9 ....

First term (a) = 0.6

Common difference (d) = a₂ – a₁ = 1.7 – 0.6

= 1.1

Chapter 8: Introduction to Trigonometry 

5. If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.

Ans. Given, in △ABC,

cos A = cos B

∴ AC/AB = BC/AB\

⇒ AC = BC

∴ ∠B = ∠A [Angles opposite to equal sides of a triangle are equals.]

Tips to Prepare for NCERT Class 10 Mathematics 

Preparation for Class 10 Mathematics becomes more effective when approached strategically:

• Focus on NCERT Textbook - Understand all concepts, theorems, and proofs thoroughly
• Revise Formulas Regularly - Maintain a formula sheet and revise it daily
• Solve All Exercises - Practice every example and exercise, especially word problems
• Practice Graphs & Diagrams - Ensure accuracy in Coordinate Geometry, Statistics, and Trigonometry
• Solve Previous Year Papers - Improve speed, accuracy, and exam confidence
• Revise Consistently - Focus on high-weightage chapters like Quadratic Equations, Triangles, and Trigonometry
• Apply Concepts Practically - Relate mathematical concepts to real-life situations for better understanding

FAQs

Q1. Is NCERT Mathematics enough to score 95+ in Class 10 Board Exam?

Ans. Yes. More than 90% of questions in CBSE Class 10 Mathematics come directly from the NCERT textbook.

Q2. Are there any deleted chapters or topics in NCERT Class 10 Mathematics for 2026-27?

Ans. No chapters have been deleted. The syllabus and textbook remain exactly the same as the rationalised 2025-26 edition.

Q3. Which chapters carry the highest weightage in CBSE Class 10 Maths board exam?

Ans. Trigonometry, Triangles, Quadratic Equations, and Surface Areas & Volumes carry the highest marks weightage (around 25-30 marks combined).

Q4. How should I prepare competency-based questions using the NCERT book?

Ans. Focus on understanding concepts deeply and apply them to real-life situations given in the NCERT examples and exercises.

Q5. What is the one mistake most students make while preparing from NCERT Maths?

Ans. They skip writing step-by-step solutions and proofs. Always write full steps neatly, it helps in both understanding and scoring full marks in the exam.