CBSE CLASS 10 SYLLABUS

 

Class 10 Mathematics – CBSE Syllabus

📘 Units & Topic Outline

1. Number Systems (6 marks)

   • Real Numbers: Fundamental Theorem of Arithmetic; proofs of irrationality (√2, √3, √5) 

2. Algebra (20 marks)

   • Polynomials: Zeros and coefficients

   • Pair of Linear Equations in Two Variables: Graphical, substitution/elimination methods; consistency/inconsistency; simple relatable problems

   • Quadratic Equations: Standard form, factoring, completing the square, quadratic formula; discriminant and nature of roots; everyday application problems

   • Arithmetic Progressions: Derivation of nth term and sum of first n terms; real‑life applications 

3. Coordinate Geometry (6 marks)

   • Concepts: Plotting graphs of linear equations, distance formula, section formula 

4. Geometry (15 marks)

   • Triangles: Similarity theorems, proportionality results, angle–side relationships

   • Circles: Tangent properties; proving perpendicularity and equal tangents from an external point 

5. Trigonometry (12 marks)

   • Introduction: Trigonometric ratios for acute angles; values at 30°, 45°, and 60°; ratio relationships

   • Identities: sin²A + cos²A = 1

   • Heights & Distances: Angle of elevation/depression problems; limited to angles of 30°, 45°, 60° 

6. Mensuration (10 marks)

   • Areas Related to Circles: Sectors and segments (central angles 60°, 90°, 120°); related perimeter problems

   • Surface Areas & Volumes: Combinations of two solids among cube, cuboid, sphere, hemisphere, right circular cylinder/cone 

7. Statistics & Probability (11 marks)

   • Statistics: Mean, median, mode of grouped data

   • Probability: Classical definition; simple event problems