NCERT Maths Class 10 is your key to success in board exams. This guide makes math easier to learn with simple steps and clear examples. Each chapter comes with formulas, solved problems, and practice questions to help you score better.
This resource follows the latest CBSE syllabus and includes tips for solving tricky problems. Whether you need help with equations, triangles, or probability, you’ll find clear answers here. Start practicing today to boost your math confidence!
NCERT Maths Class 10: Chapter-wise Study Guide
Chapter 1: Real Numbers
- Euclid’s division lemma with examples and solutions
- HCF and LCM problems using division algorithm
- Rational numbers and their decimal expansions
- Irrational numbers proof and examples for Class 10
Chapter 2: Polynomials
- Zeros of polynomial formula with solved examples
- Relationship between zeros and coefficients
- Division algorithm for polynomials explained
- Quadratic polynomial graphing techniques
Chapter 3: Pair of Linear Equations in Two Variables
- Linear equations solving methods – substitution, elimination
- Graphical method for solving linear equations
- Word problems on linear equations with solutions
- Inconsistent and dependent linear equations explained
Chapter 4: Quadratic Equations
- Quadratic formula derivation and application
- Solving quadratic equations by factorization
- Quadratic equation word problems with solutions
- Nature of roots of quadratic equation formula
Chapter 5: Arithmetic Progressions
- Arithmetic progression formula for nth term
- AP sum formula with solved examples
- Arithmetic progression word problems for Class 10
- AP applications in real life situations
Chapter 6: Triangles
- Similar triangles criteria with proof (AAA, SAS, SSS)
- Pythagoras theorem applications and problems
- Triangle area formulas for different scenarios
- Important theorems on triangles for Class 10 board exams
Chapter 7: Coordinate Geometry
- Distance formula between two points with examples
- Section formula for internal and external division
- Area of triangle using coordinate geometry formula
- Centroid, incentre, and circumcentre coordinates formulas
Chapter 8: Introduction to Trigonometry
- Trigonometric ratios of angles table (0-90 degrees)
- Trigonometric identities for Class 10 with proof
- Height and distance problems using trigonometry
- Complementary angles trigonometric relationships
Chapter 9: Some Applications of Trigonometry
- Heights and distances word problems solved
- Angle of elevation and depression problems
- Trigonometry application in real life situations
- Step-by-step solutions for board exam questions
Chapter 10: Circles
- Tangent to circle properties and theorems
- Theorem: Tangent at any point is perpendicular to radius
- Number of tangents from a point to circle formula
- Circle problems frequently asked in board exams
Chapter 11: Constructions
- Dividing a line segment in given ratio construction
- Tangent to circle construction steps with explanation
- Triangle construction techniques for different cases
- Construction problems from previous board papers
Chapter 12: Areas Related to Circles
- Area of circle formula with solved examples
- Sector and segment area calculation methods
- Area of combined figures involving circles
- Perimeter and area problems for board exam
Chapter 13: Surface Areas and Volumes
- Surface area formulas for 3D shapes (cube, cylinder, cone)
- Volume calculation for combined solid figures
- Conversion of solids problems (cuboid to cylinder)
- Surface area and volume word problems with solutions
Chapter 14: Statistics
- Mean, median, mode calculation for grouped data
- Cumulative frequency curve (ogive) construction
- Standard deviation formula and calculation steps
- Statistics problems frequently asked in board exams
Chapter 15: Probability
- Probability formula with solved examples
- Theoretical vs experimental probability explained
- Card and dice probability problems for Class 10
- Probability of multiple events with solutions
Ready to excel in your Class 10 Maths exams? Start by downloading the official NCERT Maths textbook – your essential resource for building a strong foundation in mathematics.