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)

  1. Number systems — fundamental theorem of arithmetic; irrationality of numbers such as √2, √3, √5.
  2. Algebra — zeros of polynomials; relation between zeros and coefficients; pair of linear equations; quadratic equations and discriminant.
  3. Coordinate geometry — distance formula; section formula; area of triangle.
  4. Geometry — similar triangles; Pythagoras theorem; circles (tangent theorems); constructions.
  5. Trigonometry — trigonometric ratios; identities; heights and distances.
  6. Mensuration — surface areas and volumes of combinations of solids; frustum of cone.
  7. 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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Original practice prompts

Use these with the official syllabus above—these are study prompts, not a claimed board question paper.

  • Choose one listed section and explain its main ideas aloud without looking at notes.
  • Write five questions you would ask from that section, then answer them from memory.
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  • After revising, attempt a past or sample paper only if its board, subject, language, and year match yours.

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  1. Read the syllabus or open the official paper from the source link.
  2. Use the related materials below to revise the same subject.
  3. Check an answer key or marking scheme only when it is published by the board.

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