HSC Mathematics Question Bank with Important Questions – Probability, Statistics, Linear Programming 2026
- Feb 20
- 4 min read
The HSC Mathematics Question Bank 2026 is the most vital resource for students appearing for the Maharashtra State Board Class 12 exams. As the competition for engineering and medical entrance exams like MHT-CET and NEET intensifies, securing a high percentage in the board exams has become a non-negotiable requirement for many top-tier college admissions.
In this comprehensive guide, we break down the high-weightage sections of Paper 1 and Paper 2, specifically focusing on Probability, Statistics (including Binomial and Probability Distributions), and Linear Programming. By analyzing previous years' papers and the latest SCERT Maharashtra "Prashnapedhi," we have curated a list of repeated and highly probable questions to help you streamline your revision.
HSC Mathematics Question Bank 2026: Chapter-Wise Weightage
Before diving into the questions, it is essential to understand the marks distribution for the 2026 exam pattern. The Maharashtra Board follows an 80-20 pattern, where 80 marks are for the theory paper and 20 marks are for internal assessments/practicals.
Unit / Chapter | Marks (Without Option) | Marks (With Option) |
Linear Programming (LPP) | 4 | 6 |
Probability Distributions | 3 | 5 |
Binomial Distribution | 3 | 5 |
Mathematical Logic | 6 | 8 |
Vectors | 9 | 12 |
Differentiation | 7 | 9 |
The chapters of Probability and Linear Programming are often considered "scoring" because they follow a set pattern of questions every year. Mastering these can guarantee you approximately 12–15 marks with minimal effort compared to complex Calculus.
Linear Programming (LPP) – Important Questions for 2026
The Linear Programming chapter typically contributes a confirmed 4-mark question in Section D. Students are expected to solve these problems graphically.
Highly Repeated Question Types
Graphical Method for Maximization: Questions requiring you to maximize an objective function subject to given linear constraints.
Word Problems (Formulation): Manufacturing or Diet problems where you must first form the equations and then solve them.
Identifying Corner Points: Finding the intersection of lines to determine the vertices of the feasible region.
Pro-Tip: In the 2026 Board Exam, always use a sharpened pencil for the LPP graph. Neatly shading the "Common Feasible Region" and labeling all corner points is mandatory for securing full marks.
Probability and Statistics – Most Probable Questions
In the HSC Mathematics Question Bank 2026, the statistics portion is divided into Probability Distributions and Binomial Distributions. These chapters are logic-driven and require a clear understanding of discrete and continuous random variables.
Probability Distributions: Section B & C
Verification of P.M.F.: Questions asking to determine if a given table represents a Probability Mass Function.
Finding Expected Value and Variance: Calculating E(X) and V(X) for a given distribution.
Cumulative Distribution Function (C.D.F.): Finding F(x) values from a given P(x) table.
Continuous Random Variables: Problems involving the Integration of the Probability Density Function (P.D.F.) to find the probability within a specific range.
Binomial Distribution: Section A & D
Mean and Variance Relationship: Finding 'n' and 'p' when the mean and variance are provided (e.g., Mean = 18, Variance = 12).
"At Least" and "At Most" Problems: Calculating the probability of "at least 2 successes" in a series of independent trials.
Coin and Die Tosses: Classic problems involving multiple tosses where the number of successes follows a Binomial pattern.
Strategic Preparation for Medical and Science Aspirants
For students aiming for medical fields, Mathematics is often a secondary focus compared to Biology. However, the HSC Mathematics Question Bank 2026 ensures that even with limited study time, you can score above 90%.
Focusing on Probability and Linear Programming is strategic because these topics are also foundational for statistics used in medical research and data analysis. In 2026, the board has emphasized "Application-Based Questions," meaning you might see LPP problems framed around hospital resource management or drug dosage optimization.
Official Maharashtra Board Question Bank Links
To ensure you are practicing the correct material, always refer to the official sources. The Maharashtra State Board and SCERT provide updated PDF links for the "Prashnapedhi."
MSBSHSE Official Question Papers: Official Archive
SCERT Maharashtra Question Bank: Access Portal
These links contain the official "HSC Mathematics Question Bank 2026" which includes MCQs, Very Short Answers (VSA), and Long Answer questions directly from the board's expert committee.
Conclusion
Mastering the HSC Mathematics Question Bank 2026 is the most effective way to tackle the upcoming board exams. By focusing on high-probability areas like Linear Programming, Probability, and Statistics, you can ensure a strong performance. Remember to practice the graphical methods and theorem proofs regularly. Consistent solving of the official question bank will not only improve your speed but also build the confidence needed to excel in the final exam.
FAQs: HSC Mathematics Question Bank 2026
1. Where can I download the official HSC Mathematics Question Bank 2026?
You can download the official question bank from the SCERT Maharashtra website (maa.ac.in). It is released under the "Prashnapedhi" section for both English and Marathi medium students.
2. Are the questions in the board exam repeated from the question bank?
While the exact numbers may change, the types of questions in the final paper usually match those found in the HSC Mathematics Question Bank 2026. Statistics show that nearly 60-70% of the paper structure follows these official banks.
3. Which chapters are easiest to score in HSC Maths?
Mathematical Logic, Matrices, Linear Programming, and Probability Distributions are the easiest and highest-scoring chapters for students who want to secure passing marks or boost their percentage quickly.
4. Is Linear Programming compulsory in Section D?
In most years, a 4-mark question on Linear Programming is a staple in Section D. Since you are required to attempt 5 out of 8 questions, LPP is highly recommended as it is less prone to calculation errors if the graph is correct.
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