CBSE Class 12 Mathematics — Guess Paper & Important Questions 2027
Last updated:
Everything for Mathematics in one place — guess paper, important questions and chapter-wise important topics for the 2027 exam, from analysis of 5 board + 2 official sample papers (2022–2026).
Guess Paper 2027
A full 38-question paper on the official pattern, built from the most-likely questions.
Open guess paper PDFImportant Questions
69 question patterns that have repeated across past papers.
See repeated questions PDFImportant Topics
Every chapter’s topics ranked by how often and how recently they were asked.
See important topicsTop 5 topics
| # | Topic | Chapter | Importance |
|---|---|---|---|
| 1 | Maxima and minima (first and second derivative tests, absolute maximum/minimum) | Applications of Derivatives | ★★★★★ |
| 2 | Graphical solution and optimal value at corner points (bounded and unbounded regions) | Linear Programming | ★★★★☆ |
| 3 | Scalar (dot) product and projection of a vector | Vectors | ★★★★☆ |
| 4 | Area under simple curves (lines, circles, parabolas and ellipses in standard form) | Applications of the Integrals | ★★★★☆ |
| 5 | Equation of a line in space (vector and Cartesian form) | Three-dimensional Geometry | ★★★☆☆ |
CBSE Class 12 Mathematics exam pattern 2027
Key facts
- Maximum marks: 80
- Duration: 3 hours
- Sections: 5 (A, B, C, D, E)
- Exam: 2027 CBSE Class 12 board exam
| Section | What is asked | Marks |
|---|---|---|
| A | 20 questions of 1 mark each — 18 MCQ + 2 Assertion-Reason | 20 |
| B | 5 Very Short Answer questions of 2 marks each | 10 |
| C | 6 Short Answer questions of 3 marks each | 18 |
| D | 4 Long Answer questions of 5 marks each | 20 |
| E | 3 Case-study based questions of 4 marks each (with sub-parts) | 12 |
CBSE Class 12 Mathematics chapter-wise weightage 2027
| Unit | Chapters | Marks |
|---|---|---|
| Relations and Functions | Relations and Functions, Inverse Trigonometric Functions | 8 |
| Algebra | Matrices, Determinants | 10 |
| Calculus | Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, Differential Equations | 35 |
| Vectors and Three-Dimensional Geometry | Vectors, Three-dimensional Geometry | 14 |
| Linear Programming | Linear Programming | 5 |
| Probability | Probability | 8 |
Unit marks as given in the official syllabus.
Frequently asked questions
Is this the real CBSE Class 12 Mathematics guess paper 2027?
No. It is a practice guess paper built by analysing which questions and topics repeat across 5 board + 2 official sample papers (2022–2026) for CBSE Class 12 Mathematics. It follows the latest official exam pattern but is not an official or leaked paper.
What is the CBSE Class 12 Mathematics exam pattern for 2027?
The CBSE Class 12 Mathematics 2027 paper is 80 marks and 3 hours long, in 5 sections: Section A — 20 questions of 1 mark each — 18 MCQ + 2 Assertion-Reason; Section B — 5 Very Short Answer questions of 2 marks each; Section C — 6 Short Answer questions of 3 marks each; Section D — 4 Long Answer questions of 5 marks each; Section E — 3 Case-study based questions of 4 marks each (with sub-parts). Highest-weightage units: Calculus (35 marks), Vectors and Three-Dimensional Geometry (14 marks), Algebra (10 marks).
How many questions repeat in CBSE Class 12 Mathematics?
We found 69 question patterns that appeared in two or more of the analysed papers (5 board + 2 official sample papers). The most-repeated ones are listed on the Important Questions page.
What are the most important topics for CBSE Class 12 Mathematics 2027?
The top topics by repetition are Maxima and minima (first and second derivative tests, absolute maximum/minimum); Graphical solution and optimal value at corner points (bounded and unbounded regions); Scalar (dot) product and projection of a vector. The full ranked list is on the Important Topics page.
Where can I see the CBSE Class 12 Mathematics guess paper?
The full 38-question guess paper is on the Guess Paper page — free to view, with each question tagged by chapter and how often it has appeared in past papers.