CBSE Math RevisionCBSE Class 12 Maths question papers and sample papers
Official CBSE Class 12 Mathematics board papers and sample question papers with marking schemes, linked straight to CBSE. Class 12 Mathematics (041) is a 3-hour, 80-mark theory paper plus 20 marks of internal assessment.
Papers are © CBSE; we link to the official copies. Details
CBSE posts each year's board papers (all sets, as a zip) and marking schemes on cbse.gov.in. We list Class 10 (Standard and Basic) and Class 12 Mathematics from 2022 to 2026. CBSE Academic publishes a sample question paper and marking scheme for each session on cbseacademic.nic.in.
Sit it under exam conditions: open the paper, press Start timer, press Finish when time is up, then mark it against the mark scheme. Timing is free, no sign-in; a free account saves your time and lets you enter your mark to track your progress.
Sit one of our 5 sample papers on the same pattern and get its full step-marking scheme. Free account, no card. Join free
Worked solutions to a board paper
Our own step-by-step solutions to one set of CBSE's paper, with the marks for each step:
Class 12 Maths unit weightage
| Unit | Marks (of 80) | Chapters: free notes and practice |
|---|---|---|
| Relations and Functions | 8 | Relations and Functions · Inverse Trigonometric Functions |
| Algebra | 10 | Matrices · Determinants |
| Calculus | 35 | Continuity and Differentiability · Application of Derivatives · Integrals · Application of Integrals · Differential Equations |
| Vectors and Three-Dimensional Geometry | 14 | Vector Algebra · Three Dimensional Geometry |
| Linear Programming | 5 | Linear Programming |
| Probability | 8 | Probability |
Marks often lost in these chapters
Calculus (35 marks) and Vectors and Three-Dimensional Geometry (14 marks) carry the most marks in the Class 12 paper. When you mark a past paper, check these chapters for these slips first.
- Continuity and Differentiability: Declaring a function differentiable because the two formulas "join up" — continuity is not enough. Also: Using \(\log(u+v) = \log u + \log v\) (false). Take logs only of products, quotients and powers. More on one page
- Application of Derivatives: Substituting the particular value before differentiating in a rate problem. Also: Forgetting end points when finding absolute extrema; confusing a local maximum with the absolute maximum. More on one page
- Integrals: Forgetting \(+C\) in indefinite integrals, or keeping old limits after a substitution. Also: \(\int\frac{dx}{2x + 3} = \frac12\log|2x + 3|\), not \(\log|2x + 3|\). More on one page
- Application of Integrals: Reporting a negative or zero “area” because part of the curve is below the axis. Also: Forgetting to double when using symmetry — or doubling a region that is not symmetric. More on one page
- Differential Equations: Stating the degree without first clearing a radical or fractional power. Also: Forgetting to write the equation in standard form (coefficient of \(\dfrac{dy}{dx}\) equal to \(1\)) before finding \(P\). More on one page
- Vector Algebra: Middle term of the cross-product determinant: it is \(-\hat{j}(a_1b_3 - a_3b_1)\). Also: Using \(\tfrac{m\vec{a} + n\vec{b}}{m + n}\) (weights swapped) in the section formula. More on one page
- Three Dimensional Geometry: Reading direction ratios before putting the line in standard form (signs and coefficients of \(x, y, z\)). Also: Omitting the modulus in the angle formula (the angle between lines is taken acute) or in the distance formula. More on one page
More practice: our 5 sample papers on the same pattern
Original Class 12 Maths papers written to the CBSE 2026-27 pattern by us (not official CBSE papers): 80 marks, 38 questions, sections A to E, a 3-hour timer, an A4 print view and a step-marking scheme with where toppers lose marks.
Formula booklet
CBSE Mathematics (Class 10 and Class 12) · CBSE · No official formula booklet
CBSE does not publish a formula booklet and none is given in the exam: formulas must be learnt. Use our one-page sheets to revise them.
Questions students ask
When does CBSE release the sample paper?
CBSE Academic usually publishes the next session's sample question papers and marking schemes during the school year on cbseacademic.nic.in. We add each one here once it is out.
How many marks is the Class 12 Maths paper?
Class 12 Mathematics (041) is a 3-hour, 80-mark theory paper plus 20 marks of internal assessment.