What the Class 12 Mathematics and Statistics Syllabus Covers
The Class 12 Mathematics and Statistics syllabus is built around two separate assessment parts. The first is the written theory paper, which tests your problem-solving on the full set of chapters. The second is an internal or practical component assessed by your school, usually through a project file, journal work or an oral exam [verify]. Both parts count towards your final result, so neither can be ignored.
The theory content is organised into broad strands rather than one long list of chapters:
- Algebra: mathematical logic, matrices, trigonometric functions and inverse trigonometric functions.
- Trigonometry and Geometry: properties of triangles, vectors, lines and planes in three dimensions.
- Calculus: differentiation, applications of derivatives, integration, definite integrals and differential equations.
- Probability and Statistics: conditional probability, the Bayes theorem, random variables and binomial distribution.
- Linear Programming: framing and solving linear programming problems graphically.
- Applications of Mathematics: using the above tools in word problems and real-life contexts.
These strands are connected, not isolated. For example, a question on finding the maximum value of a function may need differentiation first and linear programming logic later. A typical textbook exercise asks you to solve a system of equations using matrices; the same matrix skills reappear when you solve linear programming problems. So treat the strands as one body of knowledge.
This page describes the syllabus as it stood in 2020. The board has since made minor revisions to the syllabus and textbook [verify], so cross-check every chapter against your current prescribed textbook or the official board website before you plan your study.
The syllabus is prescribed for both Science and Commerce streams, but the depth of coverage and the paper pattern can differ between streams [verify]. Confirm with your teacher which chapters and which paper pattern apply to you. For chapter-wise practice, use the Class 12 Mathematics and Statistics textbook solutions, and once you finish a chapter, test yourself with sample question papers for Maths and Statistics.
Chapter-Wise Syllabus and Approximate Marks Weightage
The chapters below are grouped into three study blocks. The grouping is not official, but it helps you plan: Part I builds the language and tools, Part II is where most problem-solving marks sit, and Part III is short and self-contained. Marks weightage is given as an approximate range because the board does not publish a fixed chapter-wise split in the public syllabus document [verify]. Use the ranges to decide where to spend more time, not to predict exact question counts.
Part I: Algebra, Trigonometry and Geometry
This block is the foundation. If matrices or inverse trigonometric functions are shaky, calculus word problems later become harder than they need to be.
- Mathematical Logic: statements, logical connectives (and, or, if-then, if and only if), truth tables, tautology and contradiction, duality. This is a short chapter with mostly direct questions, so it is easy marks if you learn the truth table rules precisely.
- Matrices: types of matrices, transpose, elementary transformations, inverse of a matrix by adjoint and by row reduction, and solving a system of linear equations. A typical exam question gives you two matrices and asks you to verify an identity such as (AB)′ = B′A′; marks are given for showing each side step by step, not just the final line.
- Trigonometric Functions: trigonometric equations, inverse trigonometric functions and their principal values, and properties such as sin⁻¹x + cos⁻¹x = π/2. Principal value questions are common and mark-heavy on method, so write the range restriction every time.
- Trigonometric Functions of Compound Angles and Properties of Triangles: compound angle formulas, sine and cosine rules, projection formula, and area of a triangle. These reappear inside vector and 3D problems, so practise them as tools, not as isolated formulas.
- Vectors: vector addition, scalar and vector products, direction cosines, and applications to geometry. Keep this chapter short in your revision cycle unless your school's internal tests show it is weighted heavily [verify].
- Three-Dimensional Geometry: direction ratios and cosines, equations of a line and a plane, angle between a line and a plane, and shortest distance. Draw a rough sketch before solving; most errors here come from misplacing coordinates, not from wrong formulas.
Part II: Calculus, Probability and Statistics
Calculus and probability together usually account for the largest share of the paper [verify]. Treat this block as your priority block and give it the most problem-solving time.
- Differentiation: derivative of composite functions (chain rule), derivative of inverse trigonometric functions, logarithmic differentiation, differentiation of implicit functions, and the second derivative. A common exam question asks you to find dy/dx when y = x^x; the fix is to take logarithms first, and marks are awarded for stating that step.
- Applications of Derivatives: tangents and normals, increasing and decreasing functions, maxima and minima, and the second derivative test. Word problems on maximum area or minimum cost are standard. Always state the variable you are optimising and the constraint before differentiating.
- Integration: standard integrals, integration by substitution, integration by parts, and integration using partial fractions. Learn to recognise which method fits a given integrand; that recognition is what the question is testing.
- Definite Integrals: evaluation using the fundamental theorem, properties of definite integrals, and evaluation of integrals as limits of sums. Property-based questions (for example, using ∫₀ᵃ f(x) dx = ∫₀ᵃ f(a − x) dx) reward practice over memorisation.
- Differential Equations: order and degree, formation of a differential equation, and solution of first-order equations by variable separation. Check whether the equation is variable-separable before trying anything else.
- Probability Distributions: conditional probability, the Bayes theorem, random variables, probability mass function, mean and variance of a random variable, and the binomial distribution. Bayes theorem questions are usually long-answer type; write the events and their probabilities clearly before applying the formula.
- Statistics: measures of dispersion (range, variance, standard deviation), and the binomial distribution as a statistical model. Keep the formulas for mean and variance of a binomial distribution on your formula sheet.
Part III: Linear Programming and Applications
- Linear Programming: framing a linear programming problem from a word problem, graphing the feasible region, and finding the optimal value using corner points. Draw the graph accurately and shade the feasible region; a wrong region invalidates the whole answer even if the arithmetic is right.
- Applications of Mathematics: mixed word problems that combine calculus, matrices, probability or linear programming with real-life contexts such as cost, area or production planning. These questions test reading comprehension as much as mathematics, so underline the given data first.
| Part | Chapter | Key sub-topics to master | Approximate weightage |
|---|---|---|---|
| I | Mathematical Logic | Connectives, truth tables, tautology, duality | Low to moderate [verify] |
| I | Matrices | Inverse by adjoint, row reduction, solving systems | Moderate [verify] |
| I | Trigonometric Functions | Inverse functions, principal values, trigonometric equations | Moderate [verify] |
| I | Compound Angles and Properties of Triangles | Compound angle formulas, sine and cosine rules, area | Moderate [verify] |
| I | Vectors | Scalar and vector products, direction cosines | Low to moderate [verify] |
| I | Three-Dimensional Geometry | Line and plane equations, angles, shortest distance | Low to moderate [verify] |
| II | Differentiation | Chain rule, logarithmic and implicit differentiation, second derivative | High [verify] |
| II | Applications of Derivatives | Tangents and normals, maxima and minima | High [verify] |
| II | Integration | Substitution, by parts, partial fractions | High [verify] |
| II | Definite Integrals | Properties, evaluation as limit of sums | Moderate to high [verify] |
| II | Differential Equations | Order and degree, variable separation | Moderate [verify] |
| II | Probability Distributions | Conditional probability, Bayes theorem, binomial distribution | High [verify] |
| II | Statistics | Dispersion, mean and variance of distributions | Moderate [verify] |
| III | Linear Programming | Framing problems, feasible region, corner point method | Moderate [verify] |
| III | Applications of Mathematics | Mixed word problems across strands | Low to moderate [verify] |
Two practical notes on this table. First, "high" means the chapter usually supplies more than one question and often a long-answer question, so a weak chapter here costs more marks than a weak chapter in Part I [verify]. Second, the 2020 syllabus included some topics that were reduced or reorganised in later revisions [verify]. Before you tick a chapter off, confirm it is still in your current prescribed textbook, and compare the list with the exam pattern and marking scheme page so your practice matches the paper you will actually write.
Once a chapter is done, solve its textbook exercises and then attempt a timed set from the sample question papers for Maths and Statistics. If a chapter keeps going wrong, go back to the chapter-wise textbook solutions and study the worked steps before attempting fresh problems.
Exam Pattern: Theory, Practical and Internal Assessment
The Class 12 Mathematics and Statistics paper is split into two parts that are marked separately: a written theory paper and a school-level internal or practical component. The theory paper is usually out of 80 marks and the internal/practical component out of 20, making a total of 100 [verify]. Your final result combines both, so a weak internal score can pull down a good theory performance. Confirm the exact split for your batch with your teacher, because the board has revised assessment schemes more than once [verify].
Theory Paper Design
The theory exam is usually three hours long [verify]. The question paper is not one block of long sums: it moves from quick objective questions to short answers to full-length problems. A typical design looks like this [verify]:
| Question type | What it asks | How to handle it |
|---|---|---|
| Multiple-choice questions | One-line concept checks, for example the principal value of sin⁻¹(1/2) or the order of a differential equation | Answer these first; they take seconds and build momentum |
| Short-answer questions | Two- or three-step work, such as finding the inverse of a 2×2 matrix or a derivative by the chain rule | Show the key step; a bare answer may lose method marks |
| Long-answer questions | Full problems: a Bayes theorem question, a maxima-minima word problem, a linear programming graph | Write every step, label the graph, and state the final answer clearly |
The exact number of questions in each type and the marks per question change between years, so treat this table as a shape, not a fixed blueprint [verify]. Before your first mock test, check the latest pattern on the exam pattern and marking scheme page or in the official syllabus document.
Practical/Internal Component
The internal 20 marks are awarded by your school, not by an external examiner, and the format varies from school to school [verify]. In practice it may include a project or activity file, an oral test on definitions and formulas, and marks for internal unit tests. Ask your teacher in the first month of the year exactly what will be assessed and when submissions are due, so the file does not become last-minute work. If you are unsure whether your school also holds a separate practical exam, confirm it with the subject teacher rather than relying on what seniors tell you.
Once you know the paper design, practise on the sample question papers for Maths and Statistics under the same three-hour limit.
How to Use This Syllabus Effectively
A syllabus is only useful if it changes what you do on a Tuesday evening. Used well, it becomes a checklist that tells you what to study next and what to revise. Used badly, it sits in a folder while you work through chapters in textbook order and run out of time for Calculus.
Creating a Study Sequence
Follow the order in which ideas build on each other, not the order of chapters in the book. A sequence that works for most students:
- Algebra and Trigonometry first. Matrices, determinants, inverse trigonometric functions and trigonometric equations are the tools you reuse everywhere. A student who is shaky on differentiating sin⁻¹x will struggle with integration later.
- Calculus next, while you have the most energy. Differentiation, applications of derivatives, integration, definite integrals and differential equations form the largest connected block in the paper. Start this in the first half of the year, not the last month.
- Probability and Statistics after Calculus. Bayes' theorem and probability distributions are easier once you are comfortable with permutations, combinations and functions.
- Linear Programming and Applications at the end. These chapters are largely self-contained: graphing inequalities, corner points, feasible regions. They reward neat graph work more than long practice, so they fit well near the revision phase.
Give more weeks to chapters that carry more marks and to chapters that feed others. Vectors and 3D geometry, for example, connect to several Calculus and Geometry questions, so a weak chapter there costs you in more than one place [verify].
Setting Revision Checkpoints
Print the chapter list and treat it as a tick sheet. Mark each sub-topic as you finish it: a tick for "read and understood", a dot for "needs a second pass". By December you should be able to see at a glance which topics are still dots.
Set a checkpoint at the end of every chapter, not every month. At each checkpoint, do two things: solve the full textbook exercise for that chapter, and attempt the matching questions from one previous years' paper. For example, after Matrices, work through textbook problems on adjoint and inverse, then attempt a 3-mark question such as "If A = [[2, 3], [1, 2]], find A⁻¹" and check whether you wrote each step or jumped to the answer. Method marks are lost in exactly this way.
Keep one notebook for mistakes. When a checkpoint question goes wrong, write the question, your error in one line, and the correct step. Revise this notebook before each mock test instead of re-reading whole chapters.
Finally, remember the syllabus lists topics, not question types. A single question can combine a trigonometric identity with a limit, or a probability distribution with integration. Practise mixed questions from sample question papers for Maths and Statistics so that switching between chapters does not slow you down in the exam hall.
Key Topics and Concepts You Must Master
Knowing the chapter names is not the same as knowing what gets tested inside them. Below are the core ideas in each strand, why they matter, and how they connect to the rest of the paper. Treat each one as something you should be able to explain out loud, not just recognise in a solved example.
Algebra and Trigonometry
Matrices and determinants. You need matrix multiplication, transpose, adjoint, inverse, and properties of determinants. These are not isolated: solving a system of linear equations by the inverse method uses determinants, and the same inverse appears in Linear Programming questions about corner points. A typical question: find A⁻¹ for a 2×2 matrix and use it to solve two equations. Marks are usually split between the inverse and the solution, so a correct inverse with a wrong multiplication loses half.
Inverse trigonometric functions. Principal values, identities such as tan⁻¹x + tan⁻¹y, and simple equations. This chapter quietly feeds Calculus, because you cannot differentiate or integrate sin⁻¹x and tan⁻¹x confidently if the principal-value range is unclear to you.
Trigonometric equations and properties of triangles. General solutions of equations like sin θ = k, and results such as the sine rule and cosine rule. These appear as short questions and occasionally inside a Calculus problem.
Vectors and 3D geometry. Scalar and vector products, direction cosines, equations of lines and planes. These topics may be part of the syllabus but often carry lower weightage than Calculus [verify]. They are still worth doing properly because a vector question can appear as a 3-mark item where full marks are easy once the formula is right.
Calculus
Limits and continuity. Evaluating limits, including standard forms and L'Hôpital-type problems, plus checking continuity and differentiability at a point. This is the foundation for everything after it; if limits are shaky, differentiation rules feel arbitrary.
Differentiation and applications. Composite functions, logarithmic differentiation, second derivatives, and applications such as tangents, normals, maxima and minima. A typical exam question asks you to find the maximum volume of a box given a fixed surface area. The method carries marks: write the function, differentiate, set the derivative to zero, then verify with the second derivative.
Integration and definite integrals. Standard integrals, substitution, integration by parts, and evaluating definite integrals using properties. This is closely linked to differentiation, and many students lose marks by forgetting the constant of integration or the limits substitution.
Differential equations. Order and degree, and solving simple first-order equations by variable separation. This chapter rewards careful algebra more than memorising types.
Probability and Statistics
Conditional probability and Bayes' theorem. You need to draw a tree diagram or set up a table before calculating. A common mistake is mixing P(A|B) with P(B|A); the fix is to write the definition each time until it becomes automatic.
Probability distributions. Binomial and Poisson distributions, their mean and variance. These connect back to permutations and combinations, so revise nCr before starting.
Statistics. Measures of dispersion, correlation, and regression lines. Regression questions are usually formula-driven and give easy marks if you keep your table of values tidy.
Linear Programming and Applications
Forming and solving LPPs. Writing constraints from a word problem, graphing the feasible region, finding corner points, and identifying the optimum. Neat graph work earns method marks even if the final value is wrong. This chapter is largely self-contained and appears near the end of the paper, so it is a good scoring block to secure early.
Across all strands, learn definitions and theorems with their conditions. A theorem stated without its condition (for example, continuity without mentioning the point) is treated as incomplete. Use the chapter-wise textbook solutions to check your working step by step, and attempt sample question papers so you see how these concepts are actually worded in the exam.
Mathematics and Statistics vs Applied Mathematics: What's the Difference?
The state board offers two separate Class 12 mathematics papers: Mathematics and Statistics, and Applied Mathematics [verify]. They are not the same subject taught under two names. Each has its own textbook, its own syllabus, and its own question paper, so a chapter list from one paper tells you nothing about the other.
Mathematics and Statistics is the more theoretical paper. It covers a broader range of pure mathematics: matrices, inverse trigonometric functions, vectors and 3D geometry, limits, differentiation, integration, differential equations, probability distributions and linear programming. Questions ask you to prove results, derive formulas and solve abstract problems. Applied Mathematics leans towards practical use, with a heavier share of statistics, business mathematics and application-based problems [verify].
| Point of comparison | Mathematics and Statistics | Applied Mathematics |
|---|---|---|
| Overall approach | Theoretical, proof and derivation based | Application and problem-solving based [verify] |
| Core areas | Algebra, trigonometry, geometry, calculus, probability, LPP | Applied statistics, business mathematics, practical applications [verify] |
| Typical question style | Prove, derive, evaluate | Interpret data, apply a method to a situation [verify] |
| Suits students heading to | Engineering, pure sciences, courses needing strong calculus | Commerce, economics, statistics-heavy courses [verify] |
Before you build a study plan, confirm two things with your school: which of the two papers you are enrolled for, and which one your intended degree course expects. A student aiming at engineering usually needs Mathematics and Statistics, while some commerce and management courses accept Applied Mathematics [verify]. Getting this wrong wastes months of preparation.
Everything on this page, including the chapter table and the exam pattern, applies only to Mathematics and Statistics. If your school has enrolled you for Applied Mathematics, use the separate Maharashtra Board Class 12 Applied Mathematics syllabus page instead. Once you are sure of your paper, start working through the chapter-wise textbook solutions so your practice matches the right syllabus from day one.
Deleted or Reduced Topics: What Changed After 2020?
The board revises its syllabus from time to time. Some topics listed in the 2020 version may have been removed, trimmed, or moved to a different chapter in later years [verify]. A topic marked "deleted" simply means it will not be asked in the exam, not that the mathematics behind it has stopped working.
Download the latest syllabus PDF from the official board website and keep the 2020 chapter list next to it. Go chapter by chapter and mark three things: topics that are unchanged, topics that are new, and topics that no longer appear. That comparison takes about an hour and saves you from preparing material that carries no marks.
A removed topic can still be worth a quick read. For example, if a sub-topic on a particular type of integration is dropped, the standard techniques you already know still appear inside other questions. Understanding the idea costs little and often makes the surviving topics easier.
- Ask your teacher which topics the school has officially excluded this year. Schools usually receive written communication from the board, and your teacher's list is more reliable than a forwarded PDF.
- Do not assume a topic is deleted because a coaching sheet or a senior's notes say so. Check the official document yourself.
- If your school confirms a topic is out of the syllabus, stop solving its exercises and move that time to chapters that are assessed.
Once your chapter list is confirmed, match your practice to it: use the chapter-wise textbook solutions for the chapters that remain, and test yourself with sample question papers built on the current pattern.
Where to Download the Official Syllabus PDF
Get the syllabus from the board, not from a random link in a WhatsApp group. The official site is mahahsscboard.org [verify]. Open it, look for the "Syllabus" section on the home page, choose Class 12, then select Mathematics and Statistics. The page gives you a PDF download link.
The same syllabus PDF is usually published in English, Marathi and Hindi [verify]. Download the version you are comfortable reading. If your paper is in Marathi but you studied in English, download both: the Marathi copy tells you exactly how a chapter or sub-topic is named in the question paper.
Save the file on your phone and on a computer. Syllabus pages move or get replaced when the board updates the site, and a saved copy means you can check a topic without hunting for the link again.
Avoid coaching blogs, Telegram forwards and old question-bank PDFs as your source for the syllabus. They are often one or two years behind, so a topic marked "deleted" there may still be assessed, or the reverse. If a topic's status matters, confirm it on the official PDF or with your teacher. Once your chapter list is settled, practise from the chapter-wise textbook solutions and test yourself with sample question papers.
Study Plan and Time Allocation
A six-month plan works if you treat Maths as a daily subject, not a weekend one. The table below splits the 2020 syllabus into study blocks. Adjust the months to your actual exam date, but keep the order: Algebra and Trigonometry first because Calculus and vectors lean on them.
Monthly Breakdown
| Months | Focus | What to finish |
|---|---|---|
| 1–2 | Algebra and Trigonometry | Mathematical Logic, Matrices, Trigonometric Functions, Pair of Straight Lines, Vectors |
| 3–4 | Calculus | Continuity, Differentiation, Applications of Derivatives, Integration, Definite Integrals, Applications of Definite Integrals, Differential Equations |
| 5 | Probability and Statistics | Probability Distributions, Binomial Distribution |
| 6 | Linear Programming and revision | Linear Programming Problems, 3D Geometry, full revision and mock tests |
Keep the last month free of new chapters. Use it for full-length papers under timed conditions and for reworking the chapters where your accuracy dropped. If a chapter is still shaky in month 6, revise it from the chapter-wise textbook solutions rather than starting a fresh topic.
Weekly Schedule
Give Maths 2–3 hours daily, six days a week. Split each session into three parts: 40 minutes reading theory and solved examples, 60–90 minutes solving problems, and 20 minutes revising formulas from earlier chapters. Sunday is for a timed mixed set, not new theory.
- Problem count: aim for 10–15 problems per chapter per week. For Calculus chapters, count full-length sums, not individual steps.
- Weak-topic slot: keep one fixed slot each week for the topic you got wrong most often.
- Formula revision: write one page of formulas per chapter as you finish it, and read the older pages daily.
From month 5 onwards, replace one weekly session with a full paper from the sample question papers. Mark it yourself strictly, note every lost mark, and fix that topic in the following week.
Exam Strategy and Common Mistakes to Avoid
Spend the first five minutes reading the whole paper, not writing. Mark each question with a single letter: E for easy, M for moderate, H for hard. Then count the marks attached to each section and decide how many minutes you can give it. As a rough rule, a 3-hour paper for 80 marks works out to about two minutes per mark [verify], so a 4-mark question deserves roughly 8 minutes, no more. Write that time budget on the top of your answer sheet so you can check it as you go.
Start with the questions you marked E. This is not a trick to feel good; it banks marks early and leaves you calm for the harder sums. If a question stalls for more than a minute beyond its budget, leave a gap, move on, and return to it at the end.
In proofs and derivations, the method carries marks. If a question asks you to prove that a function is continuous at a point, write the limit definition, substitute, and show both one-sided limits match. Jumping straight to "hence continuous" loses most of the marks even if the conclusion is right. The same applies to differentiation from first principles and to LPP graphical solutions, where the feasible region, corner points, and objective value each earn separate marks.
Common mistakes and their fixes:
- Misreading the question. "Find the derivative at x = 1" is not "find the derivative". Underline the instruction word (find, prove, evaluate, solve) before you begin.
- Forgetting units or conditions. In probability, state whether events are independent before multiplying. In LPP, write the non-negativity constraints; without them the solution is incomplete.
- Leaving answers unsimplified. An integral answered as an unsimplified expression can lose the final accuracy mark. Simplify fractions, rationalise denominators, and write the final line clearly.
- Not re-checking calculations. Keep the last five minutes for arithmetic: re-add the marks you attempted, and re-verify signs in matrices and integration by parts.
Practise this routine on at least two full papers from the Maharashtra Board Class 12 sample question papers for Maths and Statistics before the exam, so the time budget becomes automatic.
Quick Revision Checklist
Use this table as a final-week checklist. Tick a row only when you can write the formula or state the theorem from memory and use it in one solved sum.
| Chapter | Must-know formulas and results |
|---|---|
| Matrices and Determinants | Inverse of a 2×2 and 3×3 matrix, properties of determinants, adjoint method, consistency of equations |
| Trigonometric Functions | Inverse trigonometric identities, principal value ranges, solution of trigonometric equations |
| Pair of Straight Lines | Combined equation, angle between lines, condition for parallel and perpendicular lines |
| Vectors and 3D Geometry | Dot and cross product, scalar triple product, direction cosines, shortest distance between lines |
| Differentiation | Composite functions, logarithmic differentiation, second derivative, derivative from first principles |
| Applications of Derivatives | Increasing and decreasing functions, maxima and minima, tangents and normals |
| Integration | Standard integrals, substitution, integration by parts, definite integral properties |
| Differential Equations | Order and degree, variable separable form, linear differential equation and its integrating factor |
| Probability Distributions | Binomial and Poisson mean and variance, probability mass function, conditional probability, Bayes' theorem |
| Linear Programming | Objective function, constraints, feasible region, corner point method, non-negativity conditions |
Copy the formulas you keep forgetting onto a single sheet, one side only. Rewrite that sheet from memory every Sunday; anything you miss goes back on it. Definitions and theorem statements matter too, because a "state" question is answered in one or two lines and those marks are easy to secure.
In the last fortnight, solve at least one full paper from the Maharashtra Board Class 12 sample question papers for Maths and Statistics under timed conditions, then check it against the exam pattern and marking scheme.
Frequently Asked Questions
Is the Class 12 Maths and Statistics syllabus the same for Science and Commerce students?
The paper is offered to both streams, but the depth of treatment and the internal assessment scheme can differ between them [verify]. Confirm with your school which version applies to your batch before you plan your study schedule.
How many marks is the theory paper, and how many are practical or internal?
The theory paper is usually 80 marks and the practical or internal component 20 marks, making a total of 100 [verify]. Your school will tell you exactly how the 20 marks are split between project, oral and journal work.
What is the duration of the exam?
The theory paper is normally three hours [verify]. Plan roughly one minute per mark, and keep the last 10 to 15 minutes for checking calculations and units.
Which chapters carry the highest marks?
Calculus (differentiation, applications of derivatives, integration and differential equations) and Probability Distributions together account for a large share of the paper, but the board does not publish a fixed chapter-wise split [verify]. Treat the weightage table on this page as a planning guide, not a guarantee.
Has the syllabus changed since 2020?
Yes, the board has revised topics since the 2020 syllabus, with some sub-topics removed or reorganised [verify]. Download the current syllabus from the official website and compare it chapter by chapter with the 2020 list. For the paper format itself, check the Maharashtra Board Class 12 exam pattern and marking scheme.
What is the difference between Mathematics and Statistics and Applied Mathematics?
Mathematics and Statistics is the more theoretical paper and covers pure maths strands such as trigonometry, vectors and calculus in greater depth. Applied Mathematics leans towards business, finance and statistics applications [verify]. The two syllabi are separate, so this page applies only to Mathematics and Statistics. If your school offers Applied Mathematics, read the Applied Mathematics syllabus instead.
Is the Maharashtra Board Class 12 Maths and Statistics syllabus the same for Science and Commerce students?
The chapter list is the same for both streams, but the depth of coverage and the internal assessment pattern can differ [verify]. Commerce students often study the same Algebra, Calculus and Probability chapters with fewer application-heavy problems. Ask your teacher which exercises are marked as optional or lower-weight for your stream before you build a study plan.
How many marks is the Class 12 Maths and Statistics theory paper, and how many are practical or internal?
The theory paper is out of 80 marks and the internal or practical component is out of 20 marks, making the total 100 [verify]. The internal part is usually assessed through a journal, project file or oral exam conducted by your school. Confirm the exact split with your teacher, since the internal pattern can vary by school.
What is the duration of the Maharashtra Board Class 12 Maths and Statistics exam?
The written theory paper is 3 hours long [verify]. You get 15 minutes of reading time before the clock starts, which is best used to scan the question paper and mark the questions you will attempt first. Practise full papers in 3 hours so your speed matches the actual exam.
Which chapters carry the highest marks in the Class 12 Maths and Statistics paper?
Marks are spread across all strands, with Calculus (differentiation, integration, differential equations) and Algebra (matrices, trigonometric functions, mathematical logic) usually carrying the largest share [verify]. Probability and Linear Programming also appear regularly. Do not skip any strand, because the paper usually has at least one question from every unit.
Has the syllabus changed since 2020, and which topics were removed or added?
Yes, the board has made minor revisions to the syllabus and textbook since 2020 [verify]. Some topics were rationalised and a few were reorganised across chapters. Do not rely on a 2020 chapter list for your exam. Compare each chapter against your current prescribed textbook and the official board website, and ask your teacher to point out deleted portions.
What is the difference between Mathematics and Statistics and Applied Mathematics in Class 12?
Mathematics and Statistics is the traditional course built around Algebra, Calculus, Vectors, Probability and Linear Programming. Applied Mathematics is a separate subject that applies maths to finance, commerce and data handling, and it is usually chosen by Commerce students [verify]. Check which subject your college offers and which one your degree course requires before choosing.