Uttarakhand Board Class 10 Mathematics Syllabus 2026-27
Exam scheme
Annual exam on the full syllabus. Theory 80, internal assessment 20. Subject code 031. Time: 3 hours.
| Unit | Topic | Marks |
|---|---|---|
| I | Number systems | 6 |
| II | Algebra | 20 |
| III | Coordinate geometry | 6 |
| IV | Geometry | 15 |
| V | Trigonometry | 12 |
| VI | Mensuration | 10 |
| VII | Statistics and probability | 11 |
Key topics (Class 10)
- Number systems — fundamental theorem of arithmetic; irrationality of numbers such as √2, √3, √5.
- Algebra — zeros of polynomials; relation between zeros and coefficients; pair of linear equations; quadratic equations and discriminant.
- Coordinate geometry — distance formula; section formula; area of triangle.
- Geometry — similar triangles; Pythagoras theorem; circles (tangent theorems); constructions.
- Trigonometry — trigonometric ratios; identities; heights and distances.
- Mensuration — surface areas and volumes of combinations of solids; frustum of cone.
- Statistics and probability — mean, median, mode of grouped data; probability of events.
The official PDF includes Class IX content as part of the integrated secondary course and lists internal assessment through periodic tests and activities.
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