NCERT Books

CBSE Mathematics Textbook For Class 10 PDF – NCERT 2026-27

Mathematics Textbook For Class 10 CBSE NCERT – Free PDF Download 2026-27

Mathematics Textbook For Class 10 serves as the comprehensive foundation for students preparing for their board examinations and building advanced mathematical concepts. Students and parents searching for this resource primarily seek authentic NCERT materials that align perfectly with CBSE curriculum requirements for the 2026-27 academic session. Their main concerns include accessing reliable study materials without cost barriers, finding chapter-wise organized content, and obtaining official PDF downloads that match the latest edition syllabus.

The search intent combines informational needs—understanding mathematical concepts, theorems, and formulas—with commercial requirements for free, downloadable resources. Students specifically want complete coverage of topics like Real Numbers, Polynomials, Linear Equations, Triangles, Coordinate Geometry, and Trigonometry. Parents prioritize finding legitimate educational materials that support their children’s learning journey without additional expenses.

The ideal solution addresses exam preparation stress by providing structured, board-aligned content with solved examples, practice exercises, and NCERT exemplar problems that enhance conceptual understanding and problem-solving skills.

Download Mathematics Textbook For Class 10 PDF Free – 2026-27 Edition

Book NameLanguageTotal ChaptersDownload PDF
Mathematics14Download PDF
GanitHindi14Download PDF
RiyaziUrdu15Download PDF

Mathematics – Chapter-wise PDF Download for CBSE Students

#Section / ChapterPDF DownloadPages
1Rationalised ContentDownload PDF1
2PrelimsDownload PDF14
3Guide for using QR CodeDownload PDF1
4Chapter 1Download PDF9
5Chapter 2Download PDF14
6Chapter 3Download PDF14
7Chapter 4Download PDF11
8Chapter 5Download PDF24
9Chapter 6Download PDF26
10Chapter 7Download PDF14
11Chapter 8Download PDF20
12Chapter 9Download PDF11
13Chapter 10Download PDF10
14Chapter 11Download PDF7
15Chapter 12Download PDF10
16Chapter 13Download PDF31
17Chapter 14Download PDF16
18AnswersDownload PDF13
19Appendix IDownload PDF21
20Appendix IIDownload PDF11
21Download complete bookDownload PDF

Ganit – Chapter-wise PDF Download for CBSE Students

#Section / ChapterPDF DownloadPages
1Rationalised ContentDownload PDF1
2PrelimsDownload PDF16
3Guide for using QR CodeDownload PDF1
4Chapter 1Download PDF12
5Chapter 2Download PDF15
6Chapter 3Download PDF16
7Chapter 4Download PDF12
8Chapter 5Download PDF28
9Chapter 6Download PDF27
10Chapter 7Download PDF16
11Chapter 8Download PDF23
12Chapter 9Download PDF11
13Chapter 10Download PDF10
14Chapter 11Download PDF7
15Chapter 12Download PDF12
16Chapter 13Download PDF33
17Chapter 14Download PDF18
18AnswersDownload PDF14
19Appendix IDownload PDF25
20Appendix IIDownload PDF13
21Download complete bookDownload PDF

Riyazi – Chapter-wise PDF Download for CBSE Students

#Section / ChapterPDF DownloadPages
1Rationalised ContentDownload PDF1
2PrelimsDownload PDF18
3Guide for using QR CodeDownload PDF1
4Chapter 1Download PDF21
5Chapter 2Download PDF20
6Chapter 3Download PDF37
7Chapter 4Download PDF25
8Chapter 5Download PDF28
9Chapter 6Download PDF42
10Chapter 7Download PDF21
11Chapter 8Download PDF24
12Chapter 9Download PDF12
13Chapter 10Download PDF11
14Chapter 11Download PDF8
15Chapter 12Download PDF16
16Chapter 13Download PDF22
17Chapter 14Download PDF35
18Chapter 15Download PDF20
19Appendix IDownload PDF24
20Appendix IIDownload PDF12
21Download complete bookDownload PDF

About Mathematics Textbook For Class 10

Mathematics textbook for class 10 NCERT edition provides comprehensive coverage of all fundamental mathematical concepts essential for CBSE board examinations. This latest edition for 2026-27 includes six critical chapters: Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, and Triangles. Additionally, the textbook covers Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Areas Related to Circles, Surface Areas and Volumes, and Statistics.

Each chapter contains carefully structured exercises with varying difficulty levels, from basic understanding to Higher Order Thinking Skills (HOTS) questions. Moreover, the NCERT solutions accompanying these chapters help students master important theorems like Pythagoras theorem, basic proportionality theorem, and trigonometric identities. Furthermore, the free PDF download option makes this mathematics resource accessible to all students without financial constraints. The textbook emphasizes conceptual clarity through step-by-step problem-solving approaches, real-life applications, and mathematical reasoning. Most importantly, this official CBSE-aligned content ensures students receive accurate, examination-focused preparation materials. The chapter-wise organization facilitates systematic learning, while practice exercises strengthen problem-solving abilities essential for scoring well in mathematics board examinations and competitive tests.

Important Points to Remember – Class 10 Maths

  • Euclid’s Division Algorithm states that for any positive integers a and b, a = bq + r where 0 ≤ r < b, and is used to find HCF of two numbers
  • Fundamental Theorem of Arithmetic proves that every composite number can be expressed as a product of primes in a unique way
  • A rational number p/q has terminating decimal expansion if and only if the prime factorisation of q contains only powers of 2 and 5
  • Linear polynomial has degree 1 (e.g., 2x – 3), quadratic polynomial has degree 2 (e.g., ax² + bx + c), and cubic polynomial has degree 3
  • If p(x) is a polynomial and p(k) = 0, then k is called a zero of the polynomial p(x)
  • A pair of linear equations in two variables can have unique solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (coincident lines)
  • For quadratic equation ax² + bx + c = 0, the discriminant Δ = b² – 4ac determines the nature of roots
  • If Δ > 0, roots are real and distinct; if Δ = 0, roots are real and equal; if Δ < 0, roots are not real
  • Sum of roots of quadratic equation ax² + bx + c = 0 is -b/a and product of roots is c/a
  • HCF × LCM = Product of two numbers is a fundamental relationship used in solving problems
  • √2, √3, √5 are irrational numbers as proved using Fundamental Theorem of Arithmetic
  • Division algorithm for polynomials: Dividend = Divisor × Quotient + Remainder, where degree of remainder < degree of divisor
  • Completing the square method transforms ax² + bx + c = 0 into a(x + b/2a)² = (b² – 4ac)/4a²
  • Graphical method involves plotting two linear equations and finding their point of intersection for the solution
  • CBSE Class 10 Mathematics syllabus 2025-26 emphasizes application-based problems and real-life connections in all chapters

Quick Revision Notes – Class 10 Maths

  • Focus on proof techniques for irrationality using contradiction method, especially for √2, √3, and √5 using prime factorisation
  • Remember the three graphical cases: intersecting lines (consistent and independent), parallel lines (inconsistent), coincident lines (consistent and dependent)
  • Practice factorisation method for quadratic equations first, then move to quadratic formula for non-factorisable equations
  • For polynomial division, always check if remainder theorem applies: p(a) gives remainder when p(x) is divided by (x – a)
  • Memorise standard identities: (a + b)² = a² + 2ab + b², (a – b)² = a² – 2ab + b², a² – b² = (a + b)(a – b)
  • In coordinate geometry problems, use elimination and substitution methods systematically for solving linear equations
  • Cross-multiplication method is fastest for solving pair of linear equations: x/(b₁c₂ – b₂c₁) = y/(c₁a₂ – c₂a₁) = 1/(a₁b₂ – a₂b₁)
  • For board exams, show step-by-step working in polynomial long division and completing square method for full marks
  • Nature of roots questions carry 2-3 marks typically; always state the condition along with the discriminant value
  • Word problems on quadratic equations often involve area, profit-loss, time-speed-distance; frame equations carefully
  • HCF problems using Euclid’s algorithm require systematic division process; show all steps for complete marks
  • Rational number decimal expansion: terminating if denominator has only 2ⁿ × 5ᵐ factors after simplification
  • Graph plotting requires accurate scaling and labelling of axes; use graph paper for precise intersecting points
  • Verify solutions by substituting back into original equations, especially important in CBSE marking scheme
  • Chapter-wise weightage: Real Numbers (7 marks), Polynomials (4 marks), Linear Equations (6 marks), Quadratic Equations (3 marks) in board exams

Frequently Asked Questions

The official NCERT Mathematics textbook for Class 10 is available for free download from the NCERT official website (ncert.nic.in). The 2025-26 edition covers all chapters including Real Numbers, Polynomials, Pair of Linear Equations, and Quadratic Equations as per the latest CBSE syllabus.

Real Numbers (Chapter 1) with 7-8 marks weightage, Coordinate Geometry (Chapter 7) with 6 marks, and Triangles (Chapter 6) with 8 marks are the highest scoring chapters. Statistics and Probability also carry significant marks in the CBSE Class 10 Mathematics board examination.

Start with understanding degree and types of polynomials, then focus on division algorithm and remainder theorem. Practice factorisation techniques and relationship between zeros and coefficients as these concepts form the foundation for higher classes.

Each chapter in NCERT Class 10 Mathematics contains 3-5 exercises on average, with Real Numbers having 4 exercises, Polynomials having 4 exercises, and Quadratic Equations having 4 exercises. The exercises progress from basic to advanced level problems.

While NCERT Mathematics Class 10 provides excellent conceptual foundation, competitive exams require additional practice from reference books. However, thorough understanding of NCERT concepts, especially from chapters on Number Systems, Algebra, and Geometry, is essential for NTSE and other competitive examinations.