BodhiScoreGoa Board Class 12 Mathematics Syllabus 2024-25
Session
Goa Board has not yet uploaded a Class 12 Mathematics (Science, code 4754) assessment scheme for 2026-27. This page uses the latest official GBSHSE PDF (2024-2025). Class 10 maths and Class 12 sciences already have 2026-27 schemes on the portal.
Exam scheme
Board theory 70 marks (mid-term and first-term patterns are also printed). Internal assessment 20 marks for innovative activities/projects.
Units (Science stream)
| Unit | Topics |
|---|---|
| I — Relations and functions | Types of relations; one-one and onto functions; composite and inverse functions (concept); inverse trigonometric functions |
| II — Algebra | Matrices (operations, transpose, invertible matrices); determinants (up to 3×3), adjoint/inverse, area of triangle, solving linear systems |
| III — Calculus | Continuity and differentiability; chain rule; implicit functions; logarithmic differentiation; parametric derivatives; second-order derivatives; applications (rate of change, maxima/minima); integrals (standard forms listed in PDF); definite integrals; differential equations (separation of variables, homogeneous first order) |
| IV — Vectors and 3-D geometry | Vectors and scalars; addition; direction cosines; scalar and vector products; lines and planes in 3-D |
| V — Linear programming | Terminology; graphical solution in two variables (up to three non-trivial constraints) |
| VI — Probability | Conditional probability; multiplication theorem; independent events; Bayes’ theorem; random variables and distributions |
The same official file also contains a Commerce stream syllabus (partnership, annuity, bill of exchange, etc.) under a separate section. Science-stream candidates follow Units I–VI above.
Use the official PDF for deleted subtopics and exact board-exam mark weightage per unit.
Make this syllabus useful
My revision checklist
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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.
- Mark one topic you find difficult and make a one-page revision sheet for it.
- After revising, attempt a past or sample paper only if its board, subject, language, and year match yours.
How to use this
- Read the syllabus or open the official paper from the source link.
- Use the related materials below to revise the same subject.
- Check an answer key or marking scheme only when it is published by the board.