HSC Mathematics Question Bank 2026: Important Questions for Integration & Differential Equations
- Feb 20
- 4 min read
Preparing for the Maharashtra Board Class 12 exams can be a daunting task, especially when it comes to the Calculus section. As we approach the HSC Mathematics Question Bank 2026 exams, students are increasingly looking for a structured way to tackle high-weightage topics like Indefinite Integration, Definite Integration, and Differential Equations. These chapters collectively account for nearly 20-25 marks (with options), making them the backbone of your Mathematics Paper II.
In this comprehensive guide, we provide a curated list of important questions, chapter weightage, and official links to the SCERT Maharashtra question banks. Whether you are aiming for a perfect score or looking to secure passing marks, this repository is your ultimate revision hub.
HSC Mathematics Question Bank 2026: Chapter-Wise Weightage
Understanding the marking scheme is the first step toward a strategic preparation plan. The Maharashtra State Board (MSBSHSE) has maintained a consistent pattern for the 2025-26 academic session.
Chapter Name | Weightage (Without Options) | Weightage (With Options) |
Indefinite Integration | 8 Marks | 10 Marks |
Definite Integration | 4 Marks | 6 Marks |
Application of Definite Integration | 2 Marks | 4 Marks |
Differential Equations | 6 Marks | 8 Marks |
As seen above, the HSC Mathematics Question Bank 2026 focuses heavily on Integration and its applications. Mastering these will ensure you can confidently attempt Section C and Section D of the paper, which contain 3-mark and 4-mark questions respectively.
Important Questions for Indefinite Integration
Indefinite Integration is often considered one of the most challenging yet rewarding chapters. Based on the analysis of previous years' papers and the latest 2026 question bank, here are the must-practice areas:
1. Integration by Substitution
Problems involving Logarithmic functions and Composite functions.
Questions where the derivative of a function is present in the numerator.
2. Integration by Parts
The L.I.A.T.E. rule application is a frequent 3-mark question.
Integrating the product of algebraic and trigonometric functions.
3. Special Integrals & Partial Fractions
Integration of rational functions using Partial Fractions.
Note: For the 2026 exam, ensure you memorize the names of all 9 Special Integral Theorems, as theorem proofs are often asked in Section D.
Important Questions for Definite Integration
Definite Integration is more about the application of properties. The HSC Mathematics Question Bank 2026 highlights specific properties that are repeated every year.
1. Fundamental Theorem of Integral Calculus
Evaluating integrals by finding the antiderivative and applying upper and lower limits.
2. Properties of Definite Integrals
The "King Property": Integrating from 0 to a of f(x).
Even and Odd Functions: Evaluating integrals from -a to a.
Property of periodicity and splitting the limits for modulus functions.
3. Area Under the Curve (Applications)
Finding the area between a Parabola and a Line.
Finding the area of a Circle or Ellipse using standard integration methods.
Important Questions for Differential Equations
Differential Equations bridge the gap between differentiation and integration. This chapter is vital for students pursuing engineering or medical-related research fields.
1. Order and Degree
Finding the order and degree of a given differential equation (usually asked in Section A as a 1-mark or 2-mark MCQ).
2. Formation of Differential Equations
Eliminating arbitrary constants to form a differential equation.
3. Solving First Order & First Degree Equations
Variable Separable Method: The most common 2-mark question.
Homogeneous Differential Equations: Using substitution y = vx.
Linear Differential Equations: Finding the Integrating Factor (I.F.).
4. Applications of Differential Equations
Population Growth and Decay: Problems related to bacteria growth or radioactive decay.
Newton’s Law of Cooling: Highly expected 4-mark application-based question.
Official Links for Maharashtra Board Question Banks
To ensure you are practicing from authentic sources, we recommend using the official portals of the Maharashtra State Board and SCERT.
MSBSHSE Official Question Papers: https://www.mahahsscboard.in/en/questionPaper
SCERT Maharashtra "Prashnapedhi" (Question Bank): www.maa.ac.in
These links contain the "Prashnapedhi" released specifically for the 2026 batch, covering all sets of questions from MCQ to Long Answers.
Study Tips to Rank High in HSC Maths 2026
Maintain a Formula Diary: While we haven't listed the formulas here, you should keep a separate notebook for the names of all Integration Identities and Differential Rules.
Focus on Step-Wise Marking: The Maharashtra Board provides marks for every correct step, even if the final answer is wrong. Never leave a question blank!
Solve Mock Tests: Use the HSC Mathematics Question Bank 2026 to simulate a 3-hour exam environment.
Prioritize High Weightage Sections: Complete Calculus and Vectors first, as they constitute the majority of the marks.
Conclusion
The HSC Mathematics Question Bank 2026 is your roadmap to success in the upcoming board examinations. By focusing on Indefinite Integration, Definite Integration, and Differential Equations, you secure a significant portion of your marks. Consistency is key—solve at least 5-10 problems daily from the question bank to build speed and accuracy.
Frequently Asked Questions (FAQs)
Q1: Is the HSC Mathematics Question Bank 2026 enough to pass the exam?
Yes, the HSC Mathematics Question Bank 2026 covers all the important types of questions expected in the board exam. If you solve it thoroughly along with previous years' papers, you can easily score above 70-80%.
Q2: Where can I download the official PDF of the 2026 Question Bank?
You can download it from the SCERT Maharashtra (maa.ac.in) website under the "Prashnapedhi" section.
Q3: Which chapter has the highest weightage in HSC Maths Paper 2?
Indefinite Integration and Differentiation are the highest-weightage chapters, each carrying around 9-10 marks with options.
Q4: Are theorems asked in the Integration chapters?
Absolutely. Theorems on Integration by Parts and certain Special Integrals are frequently asked as 3-mark or 4-mark questions.
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