How to Prepare for Maharashtra HSC Mathematics and Statistics to Score Good Marks? - Important Questions

Understand Maharashtra Class 12 Mathematics and Statistics Syllabus and Exam Pattern

The first step in effective preparation is knowing the examination pattern and syllabus. The Maharashtra Class 12 Mathematics and Statistics exam contains both theory and practical parts.

Theory Examination

The main theory examination paper has four sections and a total of 34 questions. With 80 marks and a time limit of three hours and ten minutes.

The question paper is divided into FOUR sections.

(1) Section A:

Q. 1 contains eight multiple-choice types of questions, each carrying two marks.

Q. 2 contains four very short answer-type questions, each carrying one mark.

(2) Section B:

Q. 3 to Q. 14 contain Twelve short answer-type questions, each carrying Two marks. (Attempt any Eight)

(3) Section C:

Q.15 to Q.26 contain Twelve short answer-type questions, each carrying Three marks. (Attempt any Eight)

(4) Section D:

Q. 27 to Q. 34 contain Eight long answer-type questions, each carrying Four marks. (Attempt any Five)

Maharashtra Class 12 Mathematics and Statistics Syllabus Overview

The syllabus for Maharashtra Class 12 Mathematics and Statistics includes a total of twenty chapters, divided into Part 1 and Part 2. The chapters are listed below in table format:

Part 1 :

Part 2 :

Important Concepts Based on Maharashtra Class 12 Mathematics and Statistics PYQ

Understanding and mastering the following concepts is crucial for excelling in the Class 12 Mathematics exam under the Maharashtra Board. This section covers the key concepts and fundamental principles you need to focus on. Here is the list of concepts with the number of questions that came in the previous year (from 2022- 2024):

After taking a view of the last three years' papers of the Maharashtra board class 12, we can easily conclude that the Maharashtra board widely focus on Maths concepts, with the Trigonometric Function being the most asked concept (13 questions), another Differential Equation (11 questions), Logic Connectivity (10 questions) and Definite Integration (8 questions).

Several core topics are Bernoulli Trials and Binomial Distribution, Differentiation and Intersection of Line and Plane. This pattern highlights the board's effort to cover a wide range of topics, emphasizing foundational concepts essential for higher studies.

Apart from these, there are several other important concepts in which one question has been asked, which are:

• Application of Differential Equation
• Application of Integration by Parts
• Approximations and Errors Using Derivatives
• Area Bounded by Two Curves
• Component of Vector and Vector Joining Two Points
• Continuity of Composite Function
• Derivative of the Polynomial Function
• Differentiability and Existence of Derivative
• Evaluation of Definite Integrals by Substitution
• Family of Plane
• Fundamental Formulae of Indefinite Integration (Trigonometric Functions)
• Homogeneous Differential Equation
• Inverse Trigonometric Function
• Monotonicity (Increasing and Decreasing Function)
• Section Formula
• Shortest Distance between Two Lines
• Some Special Integration
• System of Homogeneous Linear Equations
• Two Sides of a Plane
• Types of Matrices - Part 2
• Vector Triple Product

Based on the given table analysis, here's an approach to studying the important concepts to score better in Maharashtra State Board exams:

High Priority Concepts (10-15 Questions):

• Trigonometric Function (13 question)

Trigonometric functions are fundamental in mathematics, relating angles to side lengths in right-angled triangles. The primary functions include sine, cosine, and tangent, which are defined using the ratios of the sides of a triangle. These functions are essential in various fields, such as physics, engineering, and computer science, for modelling periodic phenomena and solving geometric problems.

• Differential Equation (11 questions)

Differential equations involve functions and their derivatives, expressing relationships between them. They are essential for modeling and solving real-world phenomena in physics, engineering, biology, and economics.

• Logic Connectivity (10 questions)

Understand the physical meaning and mathematical representation. Solve problems to strengthen your conceptual understanding. Practice numerical problems and previous year's questions to reinforce your understanding

Moderate Priority Concepts (6-9 Questions)

• Definite Integration (8 questions)

Definite integration calculates the area under a curve between specified limits. It is crucial in determining areas, volumes, and solving problems in physics and engineering.

• Bernoulli Trials and Binomial Distribution, Differentiation, Intersection of Line and Plane and Intersection of Line and Plane (6 questions)

Focus on understanding the Practice numerical problems involving different geometries. Understand the physical meaning and mathematical representation, Study the key principles,

Other Important Topics (1 Question Each)

For concepts like the Application of Differential Equations, Application of Integration by Parts, Approximations and Errors using Derivatives, Area Bounded by Two Curves, Component of vector and Vector Joining Two Points and Differentiability and Existence of Derivative. And for concepts like Section Formula, Shortest Distance Between Two Lines, Some Special Integration, System of Homogeneous linear equations, Two Sides of a Plane, Types of Matrices - Part 2 And Vector Triple Product. Understand the fundamental principles, and equations related to the above concept.

Practice numerical problems and previous year's questions to reinforce your understanding.

Maharashtra Class 12 Mathematics and Statistics Important Questions

1. Find the derivative of

2. Simplify the following complex number expression and find the modulus:

(3+4i) * (1-2i)

3. Find the equation of the plane passing through the point (1,-2,3) and perpendicular to the vector:

n=2i-3j+4k.

4. A die is rolled twice. What is the probability of getting a sum of 7?

5. Solve the system of equations using matrices:

2x + 3y - z = 7

x - y + 4z = -3

3x + y + 2z = 4

Also Download- Maharashtra HSC Question Papers

Maharashtra Class 12 Mathematics and Statistics Preparation Strategies

Maharashtra Board Class 12 Mathematics is a course that a student needs to prepare step by step to understand the curriculum and manage difficulties. Use the following strategies in your studying and exam preparation for a better understanding of the course concepts.

1. Understand the Syllabus

• Thoroughly view Syllabus: Create a checklist of all chapters and topics to check whether you have covered all the topics.
• Identify Key Areas: Emphasis on important areas that include Algebra, Calculus, Vectors, Three-Dimensional Geometry, Probability as well as Statistics.

2. Create a Study Schedule

• Plan Your Time: Give specific time frames to each of them. Give more time for your weak areas or weak concepts.
• Regular Breaks: Don’t leave your day without planning short breaks which are very essential to help you avoid getting bored in whatever you are doing.

3. Practice Regularly

• Solve Previous Years' Papers: Mock exams will help you to estimate the kind of questions which will be asked and also the level of difficulty.
• Attempt Sample Papers: Use the sample papers as well as mock tests in a periodic manner in order to gauge the amount of learned knowledge.

4. Revision Techniques

• Make Notes: Prepare concise notes and summaries of important formulas, theorems, and concepts.
• Flashcards: Use flashcards for important formulas and definitions to aid in memorization.

5. Use Resources Effectively

• Textbooks: Quarrel with what you are supposed to learn and practice examples and exercises from the recommended textbook.

• Reference Books: It is always good to have an added number of reference books to brush up the knowledge with NCERT books.

• Online Resources: Organize the videos that are available on the different social media sites and useful practice questions and quizzes.

Conclusion

The students can plan and prepare for the Class 12 Mathematics and Statistics exam following the syllabus given by the Maharashtra Board effectively. In other words, by knowing how the syllabus is structured, designing the study timetable, emphasizing on the meaning of concepts learned, practising consistently and revising wisely, a student sharpens his or her problem-solving abilities and analytical know-how. Asking for assistance when necessary and portraying a proper demeanour are two important factors that can help when contending with adversities an individual is bound to encounter. When applied and practised diligently, the approaches mentioned above can help the students perform well in their exams and pave their way to other accomplishments. A smooth academic year too you!