Rajasthan Board Class 10 Mathematics Syllabus 2026-27
Exam scheme
One paper, 3 hours 15 minutes. Theory 80 marks + sessional 20 marks = 100.
| Unit | Topic | Marks |
|---|---|---|
| 1 | Real Numbers | 4 |
| 2 | Algebra — Polynomials | 4 |
| 2 | Algebra — Pair of Linear Equations in Two Variables | 5 |
| 2 | Algebra — Quadratic Equations | 4 |
| 2 | Algebra — Arithmetic Progressions | 5 |
| 3 | Geometry — Triangles | 4 |
| 3 | Geometry — Circles | 6 |
| 4 | Coordinate Geometry | 7 |
| 5 | Introduction to Trigonometry | 8 |
| 5 | Some Applications of Trigonometry | 5 |
| 6 | Mensuration — Areas Related to Circles | 5 |
| 6 | Mensuration — Surface Areas and Volumes | 6 |
| 7 | Statistics | 13 |
| 7 | Probability | 4 |
Topics covered
Real Numbers (4 marks): Fundamental Theorem of Arithmetic; proofs that √2, √3, and √5 are irrational.
Polynomials (4 marks): geometrical meaning of zeroes; relationship between zeroes and coefficients.
Pair of Linear Equations in Two Variables (5 marks): substitution, elimination, and graphical methods.
Quadratic Equations (4 marks): solution by factorisation; nature of roots.
Arithmetic Progressions (5 marks): nth term; sum of first n terms.
Triangles (4 marks): similar figures; criteria for similarity of triangles.
Circles (6 marks): tangent to a circle; number of tangents from a point.
Coordinate Geometry (7 marks): distance formula; section formula.
Introduction to Trigonometry (8 marks): trigonometric ratios of specific angles; trigonometric identities.
Some Applications of Trigonometry (5 marks): heights and distances.
Areas Related to Circles (5 marks): areas of sector and segment.
Surface Areas and Volumes (6 marks): surface area and volume of a combination of solids.
Statistics (13 marks): mean, mode, and median of grouped data.
Probability (4 marks): a theoretical approach.
Prescribed book
Mathematics — NCERT textbook for Class 10, published under copyright.
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