Class 10 NCERT Maths Chapter Names
Chapter 1. Real Numbers
Chapter 2. Polynomials
Chapter 3. Pair of Linear Equations in Two Variables
Chapter 4. Quadratic Equations
Chapter 5. Arithmetic Progression
Chapter 6. Triangles
Chapter 7. Coordinate Geometry
Chapter 8. Introduction to Trigonometry
Chapter 9. Some Applications of Trigonometry
Chapter 10. Circles
Chapter 11. Area Related to Circles
Chapter 12. Surface Areas and Volumes
Chapter 13. Statistics
Chapter 14. Probability
Class 10 Maths NCERT Complete Solutions Chapter wise
Topics Covered – Class 10 Mathematics Chapter 1: Real Numbers
- Euclid’s division lemma and its applications
- The Fundamental Theorem of Arithmetic
- Proofs of irrationality of numbers such as 2\sqrt{2}, 3\sqrt{3}, 5\sqrt{5}
- Decimal expansions of rational numbers in terms of terminating and non-terminating recurring decimals
Topics Covered – Class 10 Mathematics Chapter 2: Polynomials
- Geometrical meaning of the zeroes of a polynomial
- Relationship between zeroes and coefficients of a polynomial
- Division algorithm for polynomials
- Simple problems based on the above concepts
Topics Covered – Class 10 Mathematics Chapter 3: Pair of Linear Equations in Two Variables
- Graphical method of solution of a pair of linear equations
- Algebraic methods of solving linear equations – substitution method, elimination method, cross-multiplication method
- Conditions for consistency of a pair of linear equations
- Applications of linear equations in solving real-life problems
Topics Covered – Class 10 Mathematics Chapter 4: Quadratic Equations
- Standard form of a quadratic equation
- Solutions of a quadratic equation by factorisation
- Solutions of a quadratic equation by using the quadratic formula
- Nature of roots based on the discriminant
- Applications of quadratic equations in solving real-life problems
Topics Covered – Class 10 Mathematics Chapter 5: Arithmetic Progressions
- Introduction to arithmetic progressions (A.P.)
- General term of an A.P.
- Sum of the first nn terms of an A.P.
- Applications of A.P. in solving real-life problems
Topics Covered – Class 10 Mathematics Chapter 6: Triangles
- Similar figures and similarity of triangles
- Criteria for similarity of triangles (AA, SSS, SAS)
- Theorems related to similarity of triangles
- Areas of similar triangles and the ratio of their corresponding sides
- Pythagoras theorem and its converse
Topics Covered – Class 10 Mathematics Chapter 7: Coordinate Geometry
- Distance formula
- Section formula (internal division)
- Area of a triangle in the coordinate plane
Topics Covered – Class 10 Mathematics Chapter 8: Introduction to Trigonometry
- Trigonometric ratios of an acute angle of a right triangle
- Trigonometric ratios of complementary angles
- Trigonometric identities
- Problems on finding trigonometric ratios of given angles
- Simple problems on heights and distances (no use of angles of elevation/depression beyond 90°)
Topics Covered – Class 10 Mathematics Chapter 9: Some Applications of Trigonometry
- Heights and distances problems
- Angles of elevation and depression
- Simple real-life applications of trigonometry involving right triangles
Topics Covered – Class 10 Mathematics Chapter 10: Circles
- Tangent to a circle
- Properties of tangents drawn from a point outside the circle
- Number of tangents from a point to a circle
Topics Covered – Class 10 Mathematics Chapter 11: Areas Related to Circles
- Perimeter and area of a circle
- Areas of sectors and segments of a circle
- Areas of combinations of plane figures involving circles
Topics Covered – Class 10 Mathematics Chapter 12: Surface Areas and Volumes
- Surface areas and volumes of combinations of solids (cuboid, cube, sphere, hemisphere, right circular cylinder, right circular cone)
- Conversion of one type of solid into another
- Frustum of a cone – surface area and volume
Topics Covered – Class 10 Mathematics Chapter 13: Statistics
- Collection and organisation of data
- Representation of data by bar graphs and histograms
- Measures of central tendency – mean, median, and mode
- Cumulative frequency and its graphical representation (ogive)
Topics Covered – Class 10 Mathematics Chapter 14: Probability
- Experiments, outcomes, and sample space
- Events: favourable and unfavourable
- Classical definition of probability
- Simple problems based on finding the probability of an event
- Complementary events and their probabilities