Quick answer: Every chapter in CBSE Class 12 Mathematics matters, because the Central Board of Secondary Education (CBSE) says there is no chapter-wise weightage and the paper can test any of them. By marks, Calculus is the biggest unit at 35 of the 80 theory marks, followed by Vectors and Three-Dimensional Geometry (14), Algebra (10), Relations and Functions (8), Probability (8) and Linear Programming (5). Start with Calculus, but do not skip the smaller units: they are often the quickest marks to secure.
Board examinations matter: Class 12 marks feed into college admissions and course choices, so most students take Mathematics seriously and aim to score as well as they can. This guide uses CBSE’s official syllabus and sample question paper for the 2026–27 session, for the Mathematics paper (subject code 041). Applied Mathematics (code 241) is a separate subject with its own syllabus.
Unit-wise marks in CBSE Class 12 Maths (2026–27)
The theory paper is worth 80 marks and lasts three hours. Another 20 marks come from internal assessment. According to CBSE’s 2026–27 curriculum, the 80 theory marks are split by unit as follows:
| Unit | Chapters | Marks |
|---|---|---|
| I. Relations and Functions | Relations and Functions; Inverse Trigonometric Functions | 8 |
| II. Algebra | Matrices; Determinants | 10 |
| III. Calculus | Continuity and Differentiability; Applications of Derivatives; Integrals; Application of Integrals; Differential Equations | 35 |
| IV. Vectors and Three-Dimensional Geometry | Vectors; Three-Dimensional Geometry | 14 |
| V. Linear Programming | Linear Programming | 5 |
| VI. Probability | Probability | 8 |
| Total (theory) | 80 | |
CBSE’s question paper design adds a clear warning: there is no chapter-wise weightage, and teachers are told to cover all chapters. Unit totals are fixed, but questions can come from any chapter within a unit.
Inverse Trigonometric Functions
This chapter sits in Unit I with Relations and Functions, which together carry 8 marks. The syllabus covers the definition, range, domain and principal value branch of inverse trigonometric functions and their graphs. In CBSE’s 2026–27 sample paper, the very first question asks students to identify an inverse cosine function from its graph, so practise sketching and reading these graphs, not just memorising formulas.
Inverse trigonometric functions also come back in Calculus, where you need the derivatives of sin⁻¹ x, cos⁻¹ x and tan⁻¹ x. Learning principal values properly here saves marks later.
Probability
Many students find Probability one of the more scoring chapters, because the question types are familiar once you have practised them. It carries 8 marks on its own. The current syllabus covers conditional probability, the multiplication theorem, independent events, total probability and Bayes’ theorem. Make sure you can tell when a problem needs conditional probability and when it needs Bayes’ theorem, and write out the events clearly before you calculate.
Work through every example and exercise in the NCERT textbook first. Worked solutions, such as these Probability NCERT Solutions Class 12, can help you check your method once you have tried a problem yourself.
An earlier version of this article said the paper usually has three Probability questions, one of 4 marks and the rest of 6 marks, and that the binomial distribution was a key topic. That describes an older pattern. The 2026–27 paper has no 6-mark questions, the unit is worth 8 marks in total, and the binomial distribution is not in the current Class 12 Probability syllabus.
Linear Programming
Linear Programming is the smallest unit, at 5 marks, but it is very predictable. The syllabus covers constraints, the objective function, the graphical method for problems in two variables, feasible and infeasible regions (bounded or unbounded) and optimal feasible solutions, with up to three non-trivial constraints. Practise drawing the feasible region neatly and checking every corner point.
The original article listed Bayes’ theorem and conditional probability as topics in this chapter, and said it carried two 4-mark questions and a 6-mark question. Both are wrong for the current syllabus: Bayes’ theorem and conditional probability belong to Probability, and Linear Programming carries 5 marks in all.
Calculus
Calculus is where most marks are. At 35 of 80 marks, it accounts for nearly 44 percent of the theory paper. It has five chapters:
- Continuity and Differentiability: the chain rule, implicit and parametric functions, logarithmic differentiation and second-order derivatives.
- Applications of Derivatives: rates of change, increasing and decreasing functions, and maxima and minima.
- Integrals: integration by substitution, partial fractions and parts, standard integrals and definite integrals.
- Application of Integrals: the area under simple curves such as lines, circles, parabolas and ellipses in standard form.
- Differential Equations: order and degree, variable separable, homogeneous and linear differential equations.
Calculus feels hard to many students, but it rewards regular practice more than any other unit. Start with the basics of differentiation, then build up to integration, because each chapter depends on the one before. Keep a formula sheet for standard integrals and revise it every few days.
Do not ignore Vectors, 3D Geometry, Matrices and Determinants
Vectors and Three-Dimensional Geometry carry 14 marks, more than Probability and Linear Programming together. Matrices and Determinants carry 10. These chapters are largely method-based: once you know the steps for problems such as finding the shortest distance between two lines, or solving a system of equations with an inverse matrix, the questions are very scoreable.
How the 2026–27 question paper is structured
According to CBSE’s 2026–27 sample question paper, the paper has 38 compulsory questions in five sections:
- Section A: 18 multiple-choice questions and 2 assertion-reason questions, 1 mark each (20 marks).
- Section B: 5 very short answer questions, 2 marks each (10 marks).
- Section C: 6 short answer questions, 3 marks each (18 marks).
- Section D: 4 long answer questions, 5 marks each (20 marks).
- Section E: 3 case-study questions, 4 marks each (12 marks).
There is no overall choice, but internal choices are given in some questions in Sections B, C, D and E. Calculators are not allowed. The 20 internal assessment marks are split between periodic tests (10 marks, best two of three) and mathematics activities from the NCERT lab manual (10 marks).
A simple preparation plan
- Finish the NCERT textbook first. CBSE prescribes the NCERT Mathematics Part I and Part II textbooks, plus NCERT’s exemplar problems.
- Prioritise by marks, not by comfort. Put most of your time into Calculus, then Vectors and 3D Geometry, while keeping smaller units ticking over.
- Solve the official sample paper on the CBSE academic website (cbseacademic.nic.in) under exam conditions, then check it against the marking scheme.
- Practise case-study and assertion-reason questions, which reward careful reading.
- Revise formulas and graphs weekly, especially inverse trigonometric functions and standard integrals.
If you are building your basics, our guide to the maths skills you need to succeed is a good start, and using online help for maths assignments explains how to get support without copying. Students also preparing for engineering entrance exams can read the best study materials for JEE.
Syllabus, marks and paper pattern can change each year, so check the current curriculum and sample paper on cbseacademic.nic.in and the exam date sheet on cbse.gov.in before you plan your revision.
Frequently asked questions
Which chapter has the most marks in CBSE Class 12 Maths?
Calculus, as a unit, carries 35 of the 80 theory marks in the 2026–27 syllabus. It includes five chapters, from Continuity and Differentiability to Differential Equations.
Can I skip a chapter in CBSE Class 12 Maths?
It is risky. CBSE says there is no chapter-wise weightage and asks for all chapters to be covered, so a question can come from any chapter in a unit.
Are there 6-mark questions in the CBSE Class 12 Maths paper?
No. In the 2026–27 pattern the longest questions are 5-mark long answer questions in Section D, and case-study questions in Section E carry 4 marks each.
Is Bayes’ theorem in Linear Programming or Probability?
Probability. The Probability unit covers conditional probability, the multiplication theorem, independent events, total probability and Bayes’ theorem.
Are calculators allowed in the CBSE Class 12 Maths exam?
No. CBSE’s 2026–27 sample paper states that calculators are not allowed.
This guide was checked in October 2026 against CBSE’s Mathematics (041) curriculum for 2026–27 and its Class 12 Mathematics sample question paper for 2026–27. Always confirm the latest syllabus and exam dates on CBSE’s official websites.
