SSLC: Mathematics Syllabus (PDF)
Chapter-wise competencies and marks distribution as per Karnataka SSLC board.
| Sl. No. | Chapter Name | Competencies | Marks |
|---|---|---|---|
| UNIT I: ALGEBRA (30 Marks) | |||
| 1 | Real Numbers | Euclid’s division lemma, Fundamental Theorem of Arithmetic, proofs of irrationality (√2, √3, √5), and decimal representation of rational numbers. | 4 |
| 2 | Polynomials | Zeros of polynomials, relationship between zeros and coefficients, and division algorithm for polynomials. | 6 |
| 3 | Pair of Linear Equations | Graphical and algebraic solutions, consistency of solutions, and real-life application problems. | 8 |
| 4 | Quadratic Equations | Solutions by factorization and quadratic formula, discriminant and nature of roots, and situational problems. | 6 |
| 5 | Arithmetic Progressions | nth term, sum of n terms, and real-life applications. | 6 |
| UNIT II: GEOMETRY (25 Marks) | |||
| 1 | Triangles | Similar triangles, Pythagoras theorem, and area relationships with proofs and applications. | 8 |
| 2 | Coordinate Geometry | Distance formula, section formula, and area of a triangle. | 5 |
| 3 | Circles | Tangents to circles and related theorems. | 4 |
| 4 | Areas Related to Circles | Area of sectors and segments, and mixed plane-figure problems. | 3 |
| 5 | Constructions | Line division, tangents, and construction of similar triangles. | 5 |
| UNIT III: MENSURATION (7 Marks) | |||
| 1 | Surface Areas & Volumes | Surface areas and volumes of solids and their combinations. | 7 |
| UNIT IV: TRIGONOMETRY (9 Marks) | |||
| 1 | Introduction to Trigonometry | Trigonometric ratios, identities, and complementary angles. | 5 |
| 2 | Applications of Trigonometry | Heights and distances problems. | 4 |
| UNIT V: STATISTICS & PROBABILITY (9 Marks) | |||
| 1 | Statistics | Mean, median, mode, and cumulative frequency graphs. | 6 |
| 2 | Probability | Classical probability and simple problems. | 3 |