Calculus is the highest-weightage unit in CGBSE Class 12 Mathematics, carrying 35 out of 80 theory marks — focusing on it first gives you the best chance of clearing the Second Main Exam 2026.
Students appearing for the CGBSE Class 12 Second Main Exam 2026 need to study smartly. The Chhattisgarh Board of Secondary Education (CGBSE) distributes the 80-mark Mathematics theory paper across six units, and not all chapters contribute equally. Knowing which chapters carry the most marks lets you prioritise your revision and score more in less time.
- The CGBSE Class 12 Maths theory paper is worth 80 marks; internal assessment adds 20 more for a total of 100.
- Calculus (Unit 3) alone carries 35 marks — Integrals, Derivatives, and Differential Equations are non-negotiable chapters.
- Vectors and Three-Dimensional Geometry adds 14 marks, making it the second-most important unit.
- Algebra — Matrices and Determinants — accounts for 10 marks and is highly predictable in question format.
- Relations and Functions and Probability each contribute 8 marks to the paper.
- Linear Programming is worth 5 marks and is one of the easiest areas to score full marks in with focused practice.
| Direct Link to CGBSE Official Website (Official) — cgbse.nic.in |
CGBSE Class 12 Maths Paper Pattern 2026
The CGBSE Class 12 Mathematics Second Main Exam 2026 follows the same structure as the main board examination. The paper tests students across six units and includes objective, short-answer, and long-answer questions. Here is the basic structure of the exam:
| Component | Marks |
|---|---|
| Theory Paper | 80 |
| Internal Assessment / Project | 20 |
| Total Marks | 100 |
| Duration | 3 Hours |
| Passing Marks (Theory) | 26 out of 80 (33%) |
All six units from the CGBSE Class 12 Maths syllabus are covered in the paper. The Second Main Exam follows the same blueprint as the main exam, so you can use previous year papers as effective practice material.
Unit-wise Marks Distribution for CGBSE Class 12 Maths 2026
The CGBSE Class 12 Maths paper distributes 80 marks across six units. Calculus dominates the paper with more than 40% of the total theory marks. Here is the complete unit-wise marks breakup to guide your revision:
| Unit | Unit Name | Marks (out of 80) |
|---|---|---|
| Unit 1 | Relations and Functions | 8 |
| Unit 2 | Algebra | 10 |
| Unit 3 | Calculus | 35 |
| Unit 4 | Vectors and Three-Dimensional Geometry | 14 |
| Unit 5 | Linear Programming | 5 |
| Unit 6 | Probability | 8 |
| Total | 80 | |
Most Important Chapters for CGBSE Class 12 Second Main Exam 2026
With limited revision time before the Second Main Exam, you need to identify which chapters give you the highest return on study hours. Here are the most important chapters ranked by approximate marks contribution:
| Priority | Chapter | Unit | Approximate Marks |
|---|---|---|---|
| 1 | Integrals and Applications of Integrals | Calculus | 12–14 |
| 2 | Applications of Derivatives | Calculus | 8–10 |
| 3 | Three-Dimensional Geometry | Vectors and 3D Geometry | 8–10 |
| 4 | Continuity and Differentiability | Calculus | 6–8 |
| 5 | Probability | Probability | 8 |
| 6 | Determinants | Algebra | 5–6 |
| 7 | Matrices | Algebra | 4–5 |
| 8 | Vectors | Vectors and 3D Geometry | 4–6 |
| 9 | Differential Equations | Calculus | 5–6 |
| 10 | Linear Programming | Linear Programming | 5 |
Integrals and Applications of Integrals is the single most marks-rich chapter in the CGBSE Class 12 Maths paper. Scoring well in Integrals, Applications of Derivatives, and Three-Dimensional Geometry alone can account for over 30 marks — nearly 40% of the entire theory paper.
Chapter-wise Key Topics to Revise for CGBSE Second Main Exam 2026
For each important chapter, certain topics appear almost every year in the CGBSE paper. Focus your revision on these specific areas within each chapter:
| Chapter | Key Topics to Revise |
|---|---|
| Integrals | Integration by parts, integration using partial fractions, definite integrals using properties, area under curves |
| Applications of Derivatives | Maxima and minima, rate of change, increasing and decreasing functions, tangents and normals |
| Three-Dimensional Geometry | Direction cosines and ratios, equation of a line in 3D, angle between lines and planes, shortest distance between lines |
| Continuity and Differentiability | Chain rule, implicit differentiation, second-order derivatives, Rolle’s and Lagrange’s mean value theorem |
| Determinants | Properties of determinants, solving systems of equations using Cramer’s rule, cofactors and adjoint of a matrix |
| Probability | Bayes’ theorem, conditional probability, mean and variance of a random variable, Bernoulli trials and binomial distribution |
| Differential Equations | Variable separable method, homogeneous equations, linear differential equations |
| Linear Programming | Graphical method, feasible region, corner point theorem, maximisation and minimisation word problems |
Preparation Tips for CGBSE Class 12 Maths Second Main Exam 2026
Use these targeted strategies to make the most of your revision time before the Second Main Exam 2026:
- Start with Calculus every day. Spend at least 60% of your study time on Unit 3 — even partial attempts in long-answer Calculus questions earn step marks in CGBSE.
- Practice past question papers. CGBSE repeats question types year after year, especially in Integrals and Three-Dimensional Geometry. Solving the last 5 years’ papers helps you spot recurring patterns.
- Master NCERT examples and exercises. CGBSE Class 12 Maths questions are largely NCERT-based. Completing all NCERT examples and back exercises gives you a strong preparation base without needing extra resources.
- Do not skip Linear Programming. It carries 5 marks and takes about a day to learn fully. The graphical method is straightforward and you can score 4–5 marks with minimal effort.
- Write step-by-step solutions in practice. CGBSE awards step marks in long-answer questions. Even if your final answer is wrong, correct intermediate steps fetch partial marks.
- Revise formulas daily. Integration formulas, differentiation rules, and 3D geometry identities reviewed each morning save time and reduce errors during the exam.
CGBSE Class 12 Maths Second Main Exam 2026 FAQs
Ques. Which chapter carries the most marks in CGBSE Class 12 Maths for the Second Main Exam 2026?
Ans. Integrals and Applications of Integrals carry approximately 12–14 marks in the theory paper. Calculus as a whole unit contributes 35 out of 80 marks, making it the top priority for the Second Main Exam 2026.
Ques. What is the total marks for CGBSE Class 12 Mathematics?
Ans. The total marks for CGBSE Class 12 Mathematics is 100, with 80 marks for the theory paper and 20 marks for internal assessment. You need to secure at least 33% in the theory component to pass.
Ques. How many marks does Calculus carry in the CGBSE Class 12 Maths paper?
Ans. Calculus carries 35 marks out of the 80-mark theory paper. It covers Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, and Differential Equations — five chapters in total.
Ques. Is Linear Programming important for the CGBSE Second Main Exam 2026?
Ans. Yes, Linear Programming carries 5 marks and is one of the easiest units in the paper. You can score full marks with one day of focused practice on the graphical method and feasible region problems.
Ques. Can a student pass CGBSE Class 12 Maths by focusing only on Calculus and Algebra?
Ans. Calculus (35 marks) and Algebra (10 marks) together account for 45 out of 80 theory marks. Scoring around 60% in these two units gives you approximately 27 marks, which is just above the minimum 26 needed to pass the theory paper. Adding Vectors and 3D Geometry and Probability to your revision significantly improves your overall score.
Ques. Does the CGBSE Second Main Exam 2026 follow the same chapter weightage as the main exam?
Ans. Yes, the CGBSE Class 12 Second Main Exam 2026 follows the same syllabus, unit-wise marks distribution, and paper pattern as the main board examination. The chapter weightage remains identical to the main exam.
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