The CBSE Class 12 Maths Compartment Exam 2026 is scheduled for July 15, 2026, and Calculus is the highest-weightage unit at 35 marks out of 80 theory marks.
Students appearing in the CBSE Class 12 Maths Compartment Exam 2026 must focus revision on high-scoring chapters and memorise key formulae in the final days before the exam. Knowing which chapters carry maximum marks helps you allocate study time efficiently and maximise your score in the three-hour paper.
- Calculus carries 35 marks — Integrals, Continuity and Differentiability, Applications of Derivatives, and Differential Equations are the most critical topics.
- Vectors and 3D Geometry carries 14 marks — mostly formula-based and can be scored fully with targeted revision.
- Algebra carries 10 marks — Matrices and Determinants are frequently tested in MCQ and short-answer sections.
- Relations and Functions and Probability each carry 8 marks — focus on properties, theorems, and standard question types.
- Linear Programming carries 5 marks — graphical method problems are predictable and easy to score.
| Direct Link — CBSE Official Website | cbse.gov.in |
Chapter-wise Weightage for CBSE Class 12 Maths Compartment Exam 2026
The theory paper is worth 80 marks divided across six units. The table below shows each unit, its chapters, and the marks allocated based on the official CBSE syllabus:
| 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 Integrals; Differential Equations | 35 |
| Vectors and 3D Geometry | Vectors; Three-Dimensional Geometry | 14 |
| Linear Programming | Linear Programming | 5 |
| Probability | Probability | 8 |
| Total | 80 |
With 35 out of 80 marks coming from Calculus, this unit demands the most preparation time. Integrals — both definite and indefinite — are the single most tested topic and appear across MCQs, short-answer, and long-answer sections.
Key Formulae to Revise Before the CBSE Class 12 Maths Compartment Exam
The following formulae appear in almost every CBSE Class 12 Maths paper. Writing them on a revision sheet and reviewing them the night before the exam is one of the most effective last-minute strategies.
Calculus Formulae
| Topic | Must-Know Formulae |
|---|---|
| Derivatives | d/dx(x^n) = nx^(n-1); d/dx(sin x) = cos x; d/dx(e^x) = e^x; Chain Rule; Product Rule |
| Integration | ∫x^n dx = x^(n+1)/(n+1) + C; ∫e^x dx = e^x + C; ∫sin x dx = −cos x + C; Integration by Parts: ∫u dv = uv − ∫v du |
| Differential Equations | Variable separable: f(x)dx = g(y)dy; Linear DE integrating factor = e^(∫P dx) |
| Applications of Derivatives | Critical points: f’(x) = 0; f’’(x) > 0 gives minima; f’’(x) < 0 gives maxima |
Vectors and 3D Geometry Formulae
| Topic | Must-Know Formulae |
|---|---|
| Vectors | |a| = √(x² + y² + z²); Dot product: a·b = |a||b|cos θ; Cross product: |a × b| = |a||b|sin θ |
| 3D Geometry | Direction cosines: l² + m² + n² = 1; Distance between two points; Equation of a line in vector and Cartesian form |
Algebra Formulae
| Topic | Must-Know Formulae |
|---|---|
| Determinants | |AB| = |A| × |B|; A⁻¹ = (adj A)/|A|; Area of triangle = (1/2)|det| using vertex coordinates |
| Matrices | Transpose: (A’)’ = A; (AB)’ = B’A’; Symmetric: A’ = A; Skew-Symmetric: A’ = −A |
Probability Formulae
- Addition Rule: P(A∪B) = P(A) + P(B) − P(A∩B)
- Bayes’ Theorem: P(A|B) = P(B|A) × P(A) / P(B)
- Binomial Distribution: P(X = r) = nCr × p^r × (1 − p)^(n − r)
Last-Minute Preparation Tips for CBSE Class 12 Maths Compartment Exam 2026
The days before July 15, 2026 are best spent on consolidation rather than learning new topics. Follow these targeted tips to maximise your score:
- Prioritise Calculus: Spend at least 40% of your remaining study time on Integrals and Continuity and Differentiability. Solve five integration problems daily to build speed.
- Revise CBSE sample papers: Practice previous year compartment papers available on the official CBSE website. Question formats repeat frequently in compartment exams.
- Create a formula sheet: Write a one-page sheet covering derivatives, integrals, vector identities, and probability theorems. Review it every morning before July 15.
- Attempt Section A fully: All 20 MCQs carry 1 mark each with no negative marking. Leave no MCQ blank — an educated guess is better than a zero.
- Do not skip Linear Programming: It carries 5 marks and is almost entirely procedural. Two or three practice problems are enough to secure full marks here.
- Show all working in long-answer questions: CBSE awards step marks. A partially correct solution earns credit if the working is clearly shown.
- Manage time during the paper: Spend the first 15 minutes reading all questions. Attempt easy sections first and return to harder problems at the end.
- Rest well before the exam: A well-rested mind recalls formulae faster. Avoid all-night study sessions on July 14, 2026.
CBSE Class 12 Maths Compartment Exam 2026 Paper Pattern
Understanding the marking structure helps you plan your attempt order during the three-hour paper:
| Section | Question Type | No. of Questions | Marks Each | Total Marks |
|---|---|---|---|---|
| A | Multiple Choice Questions | 20 | 1 | 20 |
| B | Very Short Answer | 5 | 2 | 10 |
| C | Short Answer | 6 | 3 | 18 |
| D | Long Answer | 4 | 5 | 20 |
| E | Case-Based Questions | 3 | 4 | 12 |
| Total | 38 | 80 |
Internal choices are provided in Sections B, C, D, and E. Always attempt the option you are more confident about within each internal choice pair.
CBSE Class 12 Maths Compartment Exam 2026 FAQs
Ques. Which chapter carries the highest marks in CBSE Class 12 Maths?
Ans. Calculus is the highest-weightage unit with 35 marks out of 80 in the theory paper. Within Calculus, Integrals and Continuity and Differentiability account for the majority of the unit’s questions.
Ques. What is the total marks for the CBSE Class 12 Maths theory paper?
Ans. The theory paper carries 80 marks. An additional 20 marks come from internal assessment, making the total subject marks 100.
Ques. Is there negative marking in the CBSE Class 12 Maths Compartment Exam 2026?
Ans. No, there is no negative marking. Students should attempt all 20 MCQs in Section A, as leaving them blank only reduces the total score.
Ques. What are the passing marks for the CBSE Class 12 Maths Compartment Exam?
Ans. Students need to score at least 33% in the theory paper, which equals approximately 27 marks out of 80. The combined theory and internal assessment score must total at least 33 out of 100 to pass.
Ques. Which topics should be revised first for the CBSE Maths Compartment Exam 2026?
Ans. Start with Integrals and Continuity and Differentiability (core of the 35-mark Calculus unit), then move to Vectors and 3D Geometry (14 marks) and Determinants (part of Algebra’s 10 marks). These high-weightage topics give the best return on revision time.
Ques. When is the CBSE Class 12 Maths Compartment Exam 2026?
Ans. The CBSE Class 12 Maths Compartment Exam 2026 is scheduled for July 15, 2026. Visit the official CBSE website at cbse.gov.in for admit card download links and exam centre details.
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