1. CBSE Class 12 Maths Unit-Wise Marks Breakdown (80 Marks Theory)
The CBSE Class 12 Mathematics theory exam carries 80 marks, while 20 marks are allocated to Internal Assessment (Periodic Tests + Mathematics Activity Lab Work). Below is the official unit-wise marks distribution:
| Unit Name | Covered Chapters | Total Weightage |
|---|---|---|
| Unit I: Relations & Functions | Relations & Functions, Inverse Trigonometric Functions | 08 Marks |
| Unit II: Algebra | Matrices, Determinants | 13 Marks |
| Unit III: Calculus (Highest Weightage) | Continuity & Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations | 35 Marks |
| Unit IV: Vectors & 3D Geometry | Vector Algebra, Three-Dimensional Geometry | 14 Marks |
| Unit V: Linear Programming | Linear Programming Problem (LPP) | 05 Marks |
| Unit VI: Probability | Probability (Conditional, Bayes Theorem, Probability Distribution) | 05 Marks |
| Total Theory Paper | 80 Marks | |
2. High-Yield 5-Mark & 4-Mark Repeated Question Types
- Calculus - Definite Integrals: Proof of properties of definite integrals (especially $\int_{0}^{a} f(x) dx = \int_{0}^{a} f(a-x) dx$) and integral evaluation.
- Calculus - Differential Equations: Solving Linear Differential Equations (/dx + Py = Q$) and Homogeneous Differential Equations.
- 3D Geometry: Shortest distance between two skew lines ( = rac{|( ec{b}_1 imes ec{b}_2) \cdot ( ec{a}_2 - ec{a}_1)|}{| ec{b}_1 imes ec{b}_2|}$) and foot of perpendicular from a point to a line.
- Algebra - Matrices & Determinants: Solving system of linear equations using Matrix Method ( = A^{-1}B$).
- Linear Programming: Feasible region corner point method for maximizing/minimizing objective functions.
- Probability: Bayes' Theorem word problems (e.g. Bag selection, disease testing, factory production defect probability).
3. 3-Hour Exam Time Management Blueprint
Managing 180 minutes effectively prevents last-minute rush during 5-mark long answers:
- Section A (20 MCQs / 1 Mark each): Spend 35–40 Minutes. Don't waste >2 mins on a single MCQ.
- Section B (5 Very Short / 2 Marks each): Spend 20 Minutes. Write concise step-by-step working.
- Section C (6 Short / 3 Marks each): Spend 35 Minutes. Draw neat figures for geometry/calculus.
- Section D (4 Long / 5 Marks each): Spend 45 Minutes. Show every intermediate step clearly.
- Section E (3 Case-Based / 4 Marks each): Spend 30 Minutes. Read context carefully.
- Revision & Double Check: Last 10 Minutes. Verify units, negative signs, and question numbers.
4. Step-Marking Guidelines & Common Pitfalls
CBSE evaluators follow strict step-marking schemes. Even if your final answer is wrong due to a calculation error, you can still score 4 out of 5 marks if your methods and formulas are correctly written!
- Always write the general formula before substituting numbers.
- Include integration constant $+ C$ for indefinite integrals.
- Draw clear diagrams for Application of Integrals and Linear Programming.