Maharashtra Board Class 12 Mathematics and Statistics Important Topics 2027
Every topic ranked by how often and how recently it was asked in 8 past board papers (2022–2026).
Top 10 most important topics
| # | Topic | Chapter | Asked in | Importance |
|---|---|---|---|---|
| 1 | Derivatives of composite, implicit and inverse functions | Differentiation | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| 2 | Section formula and collinearity/coplanarity | Vectors | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| 3 | Integrals of special forms | Indefinite Integration | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| 4 | Angle and distance (line-line, line-plane, point-plane) | Line and Plane | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 5 | Inverse trigonometric functions | Trigonometric Functions | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 6 | Rate of change and related rates | Applications of Derivatives | Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 7 | Inverse of a matrix (adjoint and elementary transformation) | Matrices | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 8 | Equations of a line in space | Line and Plane | Board 2022Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 9 | Statements, logical connectives and truth tables | Mathematical Logic | Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 10 | Homogeneous equations of second degree | Pair of Straight Lines | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
Chapter-wise important topics
Mathematical Logic · Algebra & Logic
| Statements, logical connectives and truth tables asked 10× | Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Applications (switching circuits) asked 7× | Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Quantifiers and duality asked 6× | Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Logical equivalence and algebra of statements asked 5× | Board 2022Board 2025 | ★☆☆☆☆ |
Matrices · Algebra & Logic
| Inverse of a matrix (adjoint and elementary transformation) asked 10× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Properties of matrices asked 3× | Board 2023Board 2024Board 2026 | ★☆☆☆☆ |
| Solving equations by matrix methods asked 3× | Board 2022Board 2024Board 2025 | ★☆☆☆☆ |
Trigonometric Functions · Trigonometry & Geometry
| Inverse trigonometric functions asked 12× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Properties of triangles asked 7× | Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Trigonometric equations asked 7× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Solution of triangles (sine and cosine rule) asked 6× | Board 2022Board 2023Board 2025Board 2026 | ★★☆☆☆ |
Pair of Straight Lines · Trigonometry & Geometry
| Homogeneous equations of second degree asked 10× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Angle between lines / pair of lines asked 5× | Board 2022Board 2023Board 2024Board 2025 | ★☆☆☆☆ |
| Combined equation of a pair of lines asked 3× | Board 2023Board 2024Board 2025 | ★☆☆☆☆ |
| General second-degree equation representing a pair of lines asked 1× | Board 2025 | ★☆☆☆☆ |
Vectors · Trigonometry & Geometry
| Section formula and collinearity/coplanarity asked 15× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| Scalar and vector triple product asked 7× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Scalar (dot) product and applications asked 6× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Vector (cross) product and applications asked 5× | Board 2023Board 2024Board 2025 | ★☆☆☆☆ |
Line and Plane · Trigonometry & Geometry
| Angle and distance (line-line, line-plane, point-plane) asked 14× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Equations of a line in space asked 10× | Board 2022Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Equation of a plane asked 9× | Board 2022Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Coplanarity of lines asked 2× | Board 2023Board 2026 | ★☆☆☆☆ |
Linear Programming · Trigonometry & Geometry
| Optimisation (maximise/minimise objective function) asked 6× | Board 2022Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Formulation of LPP asked 1× | Board 2024 | ★☆☆☆☆ |
| Constraints and corner-point method asked 1× | Board 2023 | ★☆☆☆☆ |
| Graphical solution and feasible region asked 1× | Board 2023 | ★☆☆☆☆ |
Differentiation · Calculus
| Derivatives of composite, implicit and inverse functions asked 15× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| Derivatives of parametric functions asked 5× | Board 2022Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Higher-order derivatives asked 5× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Logarithmic differentiation asked 1× | Board 2024 | ★☆☆☆☆ |
Applications of Derivatives · Calculus
| Rate of change and related rates asked 11× | Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Increasing and decreasing functions asked 9× | Board 2022Board 2023Board 2025Board 2026 | ★★★☆☆ |
| Tangents and normals asked 5× | Board 2022Board 2024Board 2025 | ★☆☆☆☆ |
| Maxima and minima asked 5× | Board 2022Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
Indefinite Integration · Calculus
| Integrals of special forms asked 15× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| Integration by substitution asked 7× | Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Integration by parts asked 7× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Integration by partial fractions asked 3× | Board 2023Board 2024Board 2026 | ★☆☆☆☆ |
Definite Integration · Calculus
| Evaluation using properties asked 7× | Board 2022Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Fundamental theorem and properties of definite integrals asked 8× | Board 2022Board 2023Board 2024Board 2025 | ★★☆☆☆ |
| Substitution in definite integrals asked 2× | Board 2025Board 2026 | ★☆☆☆☆ |
Application of Definite Integration · Calculus
| Area under a curve asked 5× | Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Area between two curves asked 3× | Board 2022Board 2025Board 2026 | ★☆☆☆☆ |
| Area using standard curves asked 2× | Board 2024Board 2025 | ★☆☆☆☆ |
| Area bounded by a curve and a line asked 1× | Board 2023 | ★☆☆☆☆ |
Differential Equations · Calculus
| Order and degree; formation of a differential equation asked 9× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Variable separable method asked 9× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Linear differential equations and applications asked 6× | Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Homogeneous differential equations asked 4× | Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
Probability Distributions · Probability & Statistics
| Probability mass and density functions asked 8× | Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Expected value and variance asked 6× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Cumulative distribution function asked 2× | Board 2026 | ★☆☆☆☆ |
Binomial Distribution · Probability & Statistics
| Mean and variance of binomial distribution asked 9× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Probability computations asked 7× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
Importance = how often a topic was asked × how recent, with extra weight for the latest official sample paper.