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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