CBSE Class 12 Maths Question Bank with Important Questions – Continuity & Differentiability, Applications of Derivatives, Integrals Indefinite & Definite, Differential Equations 2026
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Preparing for the Board Exams in 2026 requires more than just skimming through textbooks; it demands a strategic approach toward the most weightage-heavy sections of the syllabus: Calculus. This CBSE Class 12 Maths Question Bank 2026 is designed to streamline your revision, focusing on the core pillars of higher mathematics that consistently appear in official papers.
With the evolution of the CBSE marking scheme toward competency-based questions, students must bridge the gap between theoretical understanding and application. Below, we break down the high-priority chapters and provide the official roadmap for your success.
The Significance of Calculus in CBSE Class 12
Calculus accounts for approximately 35% to 40% of the total marks in the Class 12 Mathematics paper. Mastering Continuity, Differentiability, Integrals, and Differential Equations is not just a requirement for the boards but is a foundational necessity for competitive exams like JEE, CUET, and even medical entrance support modules where biostatistics and physics derivations are involved.
1. Continuity and Differentiability: The Foundation
This chapter serves as the gateway to the rest of Calculus. The 2026 exam pattern suggests a high frequency of questions involving the chain rule and logarithmic differentiation.
Focus Areas:
Proving the continuity of a function at a specific point.
Differentiability of modulus functions.
Second-order derivatives (Parametric forms).
Relationship between continuity and differentiability.
2. Applications of Derivatives (AOD)
AOD translates abstract equations into real-world scenarios. It is a favorite section for Case-Based Questions.
Key Concepts to Practice:
Rate of Change of Quantities: Often asked in 2-mark questions.
Increasing and Decreasing Functions: Identifying intervals.
Maxima and Minima: Specifically, applied problems involving geometry (cylinders, cones, and rectangles) which are recurring 5-mark staples.
3. Integrals: Indefinite and Definite
Integrals are often perceived as the most challenging part of the CBSE Class 12 Maths Question Bank 2026. Success here depends on pattern recognition.
Important Themes:
Integration by Parts and Partial Fractions.
Definite Integrals: Properties of definite integrals are critical. Focus specifically on the property involving f(a+b-x) as it appears in almost every previous year's paper.
Integration as the limit of a sum (though often supplementary, it builds core logic).
4. Differential Equations
This chapter connects derivatives and integrals. For 2026, the focus remains on modeling and solving first-order equations.
Prioritize these topics:
Finding the Order and Degree (1-mark objective questions).
Homogeneous Differential Equations.
Linear Differential Equations (Integrating Factor method).
Essential Formula Categories for Quick Revision
While we won't list the full equations here to keep your revision focused, ensure you have a "Formula Sheet" ready covering the following names/theorems:
Differentiation Rules: Product Rule, Quotient Rule, and Chain Rule.
Trigonometric Derivatives: Standard forms of Sine, Cosine, and Tangent.
Inverse Trigonometric Derivatives: Critical for complex differentiation.
Standard Integral Forms: Substitution methods and special integrals involving square roots.
Definite Integral Properties: The "King’s Property" and even/odd function rules.
Differential Equation Basics: Format for the Integrating Factor (I.F.).
Strategic Analysis of Previous Year Papers
By analyzing the past five years of CBSE official papers, several trends emerge for the 2026 cycle.
Chapter | Expected Weightage | Question Type |
Continuity & Differentiability | 8-10 Marks | MCQ + Short Answer |
Applications of Derivatives | 10-12 Marks | Case-Study + Long Answer |
Integrals (Definite/Indefinite) | 12-15 Marks | Short Answer + Long Answer |
Differential Equations | 6-8 Marks | Method Based |
The 2026 boards will place a 20% higher emphasis on Competency-Based Questions. This means you should expect fewer direct "Solve this" questions and more "Application of this concept in a scenario" questions.
Why This Question Bank is Vital for 2026 Aspirants
The CBSE Class 12 Maths Question Bank 2026 acts as a filter. Instead of solving 500 random questions, focusing on the "High-Yield" topics identified by senior educators ensures that your efforts result in maximum marks.
For students aiming for professional courses in engineering or data sciences—and even those looking at the mathematical components of advanced medical research—these chapters are non-negotiable.
How to Use the Question Bank Effectively:
Master the NCERT Examples first: CBSE frequently picks questions directly from the solved examples.
Time-Bound Practice: Set a timer for 3 hours and solve a full section of Calculus.
Analyze Errors: Don't just check the answer; check the step-wise marking. CBSE awards marks for the correct formula even if the final calculation is slightly off.
Official Links and Resources
To ensure you are using authenticated materials, please use the links provided below:
Official CBSE Question Bank Section: Access Here
CBSE Academic Portal (Class XII): Visit Site
Latest Curriculum and Syllabus 2026: Check Updates
Conclusion
Success in Class 12 Mathematics is a marathon, not a sprint. By utilizing a structured CBSE Class 12 Maths Question Bank 2026, you prioritize your mental energy on the topics that actually move the needle. Focus on your integration properties, master the application of derivatives, and ensure you are comfortable with the official question formats. Consistent practice is the only "shortcut" to a distinction.
FAQ: CBSE Class 12 Maths Question Bank 2026
Q1: Where can I find the official CBSE Class 12 Maths Question Bank 2026?
The official question banks, including competency-focused sets, are hosted on the CBSE Academic website. You should always refer to the official portal at https://cbseacademic.nic.in/ to ensure you are practicing the most recent material.
Q2: Is Calculus the most important section for the 2026 exams?
Yes. In terms of marks distribution, Calculus (which includes Continuity, Differentiability, Integration, and Differential Equations) remains the most significant portion of the Class 12 syllabus.
Q3: Are previous year questions still relevant for the 2026 pattern?
Absolutely. While the format of the questions has shifted toward multiple-choice and case-studies, the underlying mathematical concepts and "important questions" remain consistent.
Q4: How should I prepare for the Case-Based Questions in Maths?
Focus on the 'Applications of Derivatives' and 'Differential Equations' chapters. These are most likely to provide the context needed for scenario-based problems.
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