Maharashtra 12th HSC Mathematics and Statistics Previous Years' Question Paper: Download PDF

Maharashtra HSC Mathematics and Statistics Exam Overview

How to Download the Maharashtra 12th HSC Maths Question Papers?

Here are the steps to download the Maharashtra HSC Class 12 maths question paper with solutions from this page.

1. Here, you can click on the link for the Maharashtra Class 12 Maths Question Paper with Solutions in Maths.
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3. Click the free download button to download the PDF file. You have to sign up there.
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5. Download the PDF and print the Maharashtra Class 12 Maths question paper with solutions as you like.

Maharashtra HSC Maths Question Papers: Download PDF

This section provides the students with the latest Maharashtra HSC Mathematics and Statistics question papers and detailed solutions prepared by subject experts at Careers360. These solved papers are explained step by step to help the students understand the right way of solving questions and to perform well in the exam. The question papers and solutions have been arranged year-wise for easy reference and effective preparation.

Maharashtra 12th HSC Maths Question Paper with Solution for 2026: Download PDF

Maharashtra 12th HSC Maths Question Paper with Solution for 2025: Download PDF

Maharashtra 12th HSC Maths Previous Years' Question Paper with Solution: Download PDF

Students can download the complete Maharashtra HSC Maths last three years' question papers with solutions by clicking on the link below.

Maharashtra State Board 12th Maths Previous Year Question Papers Trends

• 2026 Trends: Calculus, probability, statistics, algebra and coordinate geometry are expected to remain among the most important areas, with questions designed to test both fundamental understanding and analytical reasoning. The paper was likely to have inspired students to use mathematical ideas to solve multistep problems rather than just memorise formulas. This is in consistency with the board's continuous goal to nurture logical reasoning, quantitative aptitude and problem-solving skills, which are essential for higher education and competitive examinations.
• 2025 Trends: Calculus topics, such as differentiation, integration, differential equations and applications of derivatives, were given major importance. Probability and probability distributions continued to be of considerable importance. The paper also had questions on vectors, three-dimensional geometry, linear programming and statistical distributions, underscoring the board’s focus on analytical thinking and problem-solving skills. It had a good mix of direct, application and higher-order thinking questions.
• 2024 Trends: The 2024 Mathematics and Statistics exam for the Maharashtra State Board included a variety of problems, with a strong focus on calculus and probability. The exam also featured real-world problem scenarios and data interpretation questions, reflecting a shift towards application-based learning. This approach by the Maharashtra board aims to equip students with practical skills and enhance their analytical thinking.
• 2023 Trends: The 2023 Mathematics and Statistics paper mainly emphasised algebra and geometry. This shift was notably characterised by questions involving complex numbers and geometric proofs, possibly to bridge the gap with competitive exams in engineering and architecture. The focus on these areas underlines the board’s intention to prepare students for higher technical education by enhancing their problem-solving capabilities.
• 2022 Trends: In 2022, the focus of the mathematics paper was significantly on statistics and vectors, alongside a steady emphasis on algebraic functions and calculus. The examination included a substantial number of problems requiring detailed analytical solutions, emphasising the application of mathematical theories over mere theoretical understanding.

Difficulty Level Trends

There has been a major development in the difficulty level and knowledge required in Maharashtra Board Class 12 mathematics exams in the last few years:

• Integration of Concepts The trend of the examination has been in favour of questions which require the application of several mathematical principles to solve a single question. This method encourages students to think holistically, leading to a more integrated understanding of mathematics.
• Higher-Order Mathematical Skills: There is a noticeable increase in the number and difficulty of problems that demand advanced mathematical skills. Calculus and algebra questions now require a higher level of analytical skills and a better understanding of the underlying theories.
• Emphasis on Application-Based Questions: In line with the worldwide trend of practical and applicable knowledge, recent exam papers have included more questions that connect mathematical theories to real-world situations. It evaluates not only the students’ theoretical knowledge but also their ability to apply this knowledge effectively in practice.

Consistent and Repetitive Chapter Concepts

In Maharashtra Class 12 Mathematics, there are a few topics that are always asked in the board exams because of their fundamental importance in the syllabus. Identifying these persistent and recurring ideas can greatly increase the effectiveness of studying. Some of the main areas that are frequently tested are:

1. Calculus: It is one of the major topics covered in the syllabus of Class 12. There is a lot of emphasis on differential and integral calculus. The topics covered generally include derivatives, rules for differentiation (chain rule, product rule, quotient rule), and max and min problems. The study of integral calculus deals with definite and indefinite integrals, methods of integration and applications such as determination of areas and volumes.
2. Algebra: Matrices and determinants are popular topics in the exam. Questions generally are based on matrix operations, calculation of determinants, and solving systems of linear equations using different techniques (Cramer’s rule and matrix inversion). Sequences and series (mostly arithmetic and geometric progressions) are also a common exam topic. Another frequent question is based on complex numbers and the algebraic properties of complex numbers.
3. Vectors and Three-Dimensional Geometry . Such questions usually deal with the algebra of vectors: operations on vectors, scalar (dot) and vector (cross) products and their geometric interpretations. In 3D geometry problems you might be asked to find equations of lines and planes. You might be asked to find the distances and angles between lines and planes.
4. Probability and Statistics: Here, questions were mainly asked on probability rules, conditional probability, Bayes’ theorem and probability distributions (binomial and normal distributions). Statistics questions may include measures of central tendency and dispersion (mean, median, mode, variance and standard deviation).
5. Trigonometry - This is not tested as heavily as the other topics but is still an important part of the exam. You can expect to be asked questions on trigonometric ratios, identities, equations and properties of triangles.

Focusing on these areas during their revision will help students prepare well for the Maharashtra Class 12 Mathematics exams and ensure that they have covered all the concepts that are likely to be tested.

Benefits of Practising the Maharashtra 12th Board Maths Question Papers

1. Understand the format and structure of the exam.
2. Recognise frequently asked questions and key areas.
3. Improve speed and efficiency in solving questions within the allotted time.
4. Build confidence by practising with actual exam-level questions.
5. Enhance analytical and problem-solving abilities.
6. Reduce exam anxiety by becoming more accustomed to the exam environment.

Preparation Tips for Maharashtra 12th Board Maths Question Papers

1. Students must finish the entire Maharashtra HSC Maths syllabus at least two months before the exam to allow enough time for revision.
2. Students must solve at least the last five years’ Maharashtra HSC Class 12 question papers to understand the exam pattern, question types, and marking scheme.
3. Students must solve official Maharashtra HSC sample papers from MSBSHSE, which align with the latest syllabus and exam pattern.
4. Students must maintain a separate sheet for all maths formulas, theorems, and key concepts and revise it.
5. Students must practise solving Maharashtra HSC question papers within the 3-hour exam duration to improve speed.

Also, check.

• Maharashtra HSC Syllabus
• Maharashtra HSC Preparation Tips