Class 10 Maths NCERT

The book has particularly been created with the view to giving children space to explore mathematics and develop the abilities to reason mathematically. Further, two special appendices have been given - Proofs in Mathematics, and Mathematical Modelling.

Class 10 Maths NCERT

These are placed in the book for interested students to study, and are only optional reading at present. These topics may be considered for inclusion in the main syllabi in due course of time.

Chapters

1. Real Numbers

  1. Introduction
  2. Euclid’s Division Lemma
  3. The Fundamental Theorem of Arithmetic
  4. Revisiting Irrational Numbers
  5. Revisiting Rational Numbers and Their Decimal Expansions
  6. Summary

2. Polynomials

  1. Introduction
  2. Geometrical Meaning of the Zeroes of a Polynomial
  3. Relationship between Zeroes and Coefficients of a Polynomial
  4. Division Algorithm for Polynomials
  5. Summary

3. Pair of Linear Equations in Two Variables

  1. Introduction
  2. Pair of Linear Equations in Two Variables
  3. Graphical Method of Solution of a Pair of Linear Equations
  4. Algebraic Methods of Solving a Pair of Linear Equations
    • Substitution Method
    • Elimination Method
    • Cross-Multiplication Method
  5. Equations Reducible to a Pair of Linear Equations in Two Variables
  6. Summary

4. Quadratic Equations

  1. Introduction
  2. Quadratic Equations
  3. Solution of a Quadratic Equation by Factorisation
  4. Solution of a Quadratic Equation by Completing the Square
  5. Nature of Roots
  6. Summary

5. Arithmetic Progressions

  1. Introduction
  2. Arithmetic Progressions
  3. nth Term of an AP
  4. Sum of First n Terms of an AP
  5. Summary

6. Triangles

  1. Introduction
  2. Similar Figures
  3. Similarity of Triangles
  4. Criteria for Similarity of Triangles
  5. Areas of Similar Triangles
  6. Pythagoras Theorem
  7. Summary

7. Coordinate Geometry

  1. Introduction
  2. Distance Formula
  3. Section Formula
  4. Area of a Triangle
  5. Summary

8. Introduction to Trigonometry

  1. Introduction
  2. Trigonometric Ratios
  3. Trigonometric Ratios of Some Specific Angles
  4. Trigonometric Ratios of Complementary Angles
  5. Trigonometric Identities
  6. Summary

9. Some Applications of Trigonometry

  1. Introduction
  2. Heights and Distances
  3. Summary

10. Circles

  1. Introduction
  2. Tangent to a Circle
  3. Number of Tangents from a Point on a Circle
  4. Summary

11. Constructions

  1. Introduction
  2. Division of a Line Segment
  3. Construction of Tangents to a Circle
  4. Summary

12. Areas Related to Circles

  1. Introduction
  2. Perimeter and Area of a Circle - A Review
  3. Areas of Sector and Segment of a Circle
  4. Areas of Combinations of Plane Figures
  5. Summary

13. Surface Areas and Volumes

  1. Introduction
  2. Surface Area of a Combination of Solids
  3. Volume of a Combination of Solids
  4. Conversion of Solid from One Shape to Another
  5. Frustum of a Cone
  6. Summary

14. Statistics

  1. Introduction
  2. Mean of Grouped Data
  3. Mode of Grouped Data
  4. Median of Grouped Data
  5. Graphical Representation of Cumulative Frequency Distribution
  6. Summary

15. Probability

  1. Introduction
  2. Probability - A Theoretical Approach
  3. Summary
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