Maharashtra Board Class 12 Mathematics and Statistics (Commerce) 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 | Simple and weighted index numbers | Index Numbers | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| 2 | True discount and banker's discount | Commission, Brokerage and Discount | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 3 | Integration by substitution | Integration | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 4 | Application to economics (cost, revenue, elasticity) | Applications of Derivatives | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 5 | Measurement of trend (moving average, least squares) | Time Series | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| 6 | Binomial and Poisson distributions | Probability Distributions | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 7 | Assignment problem (Hungarian method) | Assignment Problem and Sequencing | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 8 | Variable separable and linear equations | Differential Equations and Applications | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 9 | Graphical solution and feasible region | Linear Programming | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| 10 | Order and degree; formation | Differential Equations and Applications | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
Chapter-wise important topics
Mathematical Logic · Mathematics
| Statements and logical connectives asked 11× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Truth tables and logical equivalence asked 11× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Quantifiers and duality asked 6× | Board 2023Board 2025Board 2026 | ★☆☆☆☆ |
Matrices · Mathematics
| Applications of matrices asked 9× | Board 2022Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Solving equations by matrix methods asked 7× | Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Inverse of a matrix asked 6× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
Differentiation · Mathematics
| Derivatives of composite and implicit functions asked 14× | Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Logarithmic differentiation asked 5× | Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
| Derivatives of inverse and parametric functions asked 5× | Board 2022Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
| Second-order derivatives asked 2× | Board 2022Board 2024 | ★☆☆☆☆ |
Applications of Derivatives · Mathematics
| Application to economics (cost, revenue, elasticity) asked 17× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Increasing and decreasing functions asked 8× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Maxima and minima asked 6× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
Integration · Mathematics
| Integration by substitution asked 19× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Integration by parts asked 7× | Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Integration by partial fractions asked 4× | Board 2022Board 2024Board 2026 | ★☆☆☆☆ |
Definite Integration · Mathematics
| Definite integral and its properties asked 8× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Evaluation of definite integrals asked 8× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
Applications of Definite Integration · Mathematics
| Area under a curve asked 11× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Area between curves asked 1× | Board 2022 | ★☆☆☆☆ |
Differential Equations and Applications · Mathematics
| Variable separable and linear equations asked 15× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Order and degree; formation asked 15× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Applications (growth and decay) asked 5× | Board 2022Board 2023Board 2024Board 2026 | ★☆☆☆☆ |
Commission, Brokerage and Discount · Statistics & Business Math
| True discount and banker's discount asked 20× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Commission and brokerage asked 6× | Board 2023Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
| Trade and cash discount asked 1× | Board 2022 | ★☆☆☆☆ |
Insurance and Annuity · Statistics & Business Math
| Policy value and premium asked 7× | Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Annuity (immediate and due) asked 6× | Board 2023Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
| Fire, marine and accident insurance asked 2× | Board 2022Board 2025 | ★☆☆☆☆ |
Linear Regression · Statistics & Business Math
| Lines of regression asked 9× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Regression coefficients asked 9× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Correlation and regression asked 7× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
Time Series · Statistics & Business Math
| Measurement of trend (moving average, least squares) asked 17× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★☆ |
| Components of a time series asked 4× | Board 2025Board 2026 | ★☆☆☆☆ |
Index Numbers · Statistics & Business Math
| Simple and weighted index numbers asked 24× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★★★ |
| Cost of living index number asked 6× | Board 2022Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
Linear Programming · Statistics & Business Math
| Graphical solution and feasible region asked 15× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Formulation of LPP asked 5× | Board 2022Board 2024Board 2025Board 2026 | ★☆☆☆☆ |
| Optimisation of objective function asked 2× | Board 2023Board 2026 | ★☆☆☆☆ |
Assignment Problem and Sequencing · Statistics & Business Math
| Assignment problem (Hungarian method) asked 16× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Sequencing of jobs asked 11× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Optimal sequence and idle time asked 1× | Board 2024 | ★☆☆☆☆ |
Probability Distributions · Statistics & Business Math
| Binomial and Poisson distributions asked 16× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★★☆☆ |
| Random variables and distributions asked 12× | Board 2022Board 2023Board 2024Board 2025Board 2026 | ★★☆☆☆ |
| Expected value and variance asked 4× | Board 2022Board 2024Board 2025 | ★☆☆☆☆ |
Importance = how often a topic was asked × how recent, with extra weight for the latest official sample paper.