NCERT Solutions for Class 10 Maths — All 14 Chapters (Free PDF)

NCERT Solutions for Class 10 Maths are essential for board exam preparation. Every chapter in the NCERT textbook contains exercise problems that test your understanding of key mathematical concepts. Here's a complete overview of all 14 chapters.

Chapter 1: Real Numbers

Covers Euclid's Division Lemma, Fundamental Theorem of Arithmetic, and proofs of irrational numbers. Practice HCF and LCM problems using prime factorization — these are frequently asked in board exams.

Chapter 2: Polynomials

Focus on the relationship between zeros and coefficients of quadratic polynomials. Division algorithm problems are important for 3-mark questions.

Chapter 3: Pair of Linear Equations in Two Variables

Master graphical, substitution, elimination, and cross-multiplication methods. Word problems on ages, numbers, and fractions are common in CBSE board papers.

Chapter 4: Quadratic Equations

Learn factorization and the quadratic formula. Practice discriminant-based questions — they determine the nature of roots. This chapter carries 5-8 marks in the exam.

Chapter 5: Arithmetic Progressions

Memorize the nth term formula (an = a + (n-1)d) and sum formula (Sn = n/2[2a + (n-1)d]). Word problems on AP are high-scoring questions.

Chapter 6: Triangles

Focus on similarity theorems — BPT (Basic Proportionality Theorem), AA similarity, and Pythagoras theorem proofs. Diagram-based questions are frequently asked.

Chapter 7: Coordinate Geometry

Distance formula, section formula, and area of triangle using coordinates. These are formula-based and scoring — practice enough to solve them quickly.

Chapter 8: Introduction to Trigonometry

Memorize all trigonometric ratios and identities. Proving trigonometric identities is a guaranteed 3-4 mark question in every board exam.

Chapter 9: Some Applications of Trigonometry

Height and distance problems using angles of elevation and depression. Draw clear diagrams and show all steps for full marks.

Chapter 10: Circles

Tangent properties and proofs. The theorem 'tangent is perpendicular to radius at point of contact' is frequently tested.

Chapter 11: Areas Related to Circles

Area of sector, segment, and combination figures. Memorize the formulas and practice combination problems (semicircles, quadrants with squares/triangles).

Chapter 12: Surface Areas and Volumes

Combination of solids problems — frustum, hemisphere on cylinder, cone on cylinder. These carry 5 marks and are scoring with practice.

Chapter 13: Statistics

Mean, median, and mode of grouped data. Learn all three methods for mean (direct, assumed mean, step deviation). Ogive graph questions are important.

Chapter 14: Probability

Simple probability problems based on coins, dice, and cards. Remember: P(E) = favorable outcomes / total outcomes. This is the easiest scoring chapter.

Get All Solutions in One App

Download CBSE Prepmaster for complete NCERT solutions with step-by-step explanations for all 14 chapters. Also includes RD Sharma solutions, NCERT Exemplar, and chapter-wise practice questions — all free and offline.