Summary: This master formula and revision guide covers all 12 compulsory chapters of Class 12 Mathematics for CBSE and Bihar Board (BSEB). Providing direct Google Drive PDF downloads for Calculus formula sheets, Vector & 3D Geometry blueprints, Matrix methods, and Probability distributions.
Recommended Practice: Review the chapter formula sheets below, then practice full-length 80-mark papers on PrepOne Mock Test Studio with line-by-line step marking.
Mathematics is an exact scoring discipline in Class 12: every single mark is tied to verifiable intermediate steps. The 80-mark theory paper (with 20 marks internal assessment) is anchored by Calculus (35 marks) and Vectors & 3D Geometry (14 marks). Mastering standard matrix inversions, integration properties, and Bayes' Theorem guarantees a solid 70+ baseline score.
All 12 Chapters — Direct PDF Download Directory
Click on any chapter below to download the complete formula sheets and solved question PDFs from Google Drive:
| Chapter | Chapter Name | Weightage | Priority | Action |
|---|---|---|---|---|
| Ch 1 | Relations and Functions | 4–5 Marks | Core Focus | Download PDF → |
| Ch 2 | Inverse Trigonometric Functions | 3–4 Marks | Core Focus | Download PDF → |
| Ch 3 | Matrices | 5–6 Marks | High Yield | Download PDF → |
| Ch 4 | Determinants | 5–6 Marks | High Yield | Download PDF → |
| Ch 5 | Continuity and Differentiability | 9–10 Marks | High Yield | Download PDF → |
| Ch 6 | Application of Derivatives | 6–7 Marks | High Yield | Download PDF → |
| Ch 7 | Integrals | 9–10 Marks | High Yield | Download PDF → |
| Ch 9 | Differential Equations | 5–6 Marks | High Yield | Download PDF → |
| Ch 10 | Vector Algebra | 6–7 Marks | High Yield | Download PDF → |
| Ch 11 | Three Dimensional Geometry | 7–8 Marks | High Yield | Download PDF → |
| Ch 12 | Linear Programming | 5 Marks | High Yield | Download PDF → |
| Ch 13 | Probability | 8 Marks | High Yield | Download PDF → |
Stop Losing Step Marks in Long Calculus and 3D Questions
Board examiners deduct marks for missing constant '+ C' in indefinite integrals, omitted vector arrows, or skipping cofactor matrices. Upload your handwritten math solutions to PrepOne and get step-level marking against official board rubrics in 60 seconds.
Download PrepOne on Google Play →Class 12 Maths Unit-wise Marks Distribution
| Unit | Included Chapters | CBSE Marks | BSEB Expected Marks |
|---|---|---|---|
| Unit I: Relations & Functions | Relations and Functions, Inverse Trig | 8 Marks | 10 Marks |
| Unit II: Algebra | Matrices, Determinants | 10 Marks | 12–14 Marks |
| Unit III: Calculus | Continuity, AOD, Integrals, Differential Equations | 35 Marks | 40–44 Marks |
| Unit IV: Vectors & 3D Geometry | Vector Algebra, Three Dimensional Geometry | 14 Marks | 18–20 Marks |
| Unit V: Linear Programming | Linear Programming (LPP) | 5 Marks | 6–7 Marks |
| Unit VI: Probability | Conditional Probability, Bayes' Theorem | 8 Marks | 10 Marks |
Top 5 Guaranteed Examination Question Archetypes
1. Matrix Method (Solving 3 Variable System)
5 Marks — GuaranteedSolve the system of equations where using .
Examiner Tip: Always compute first. If , state that is non-singular and unique solution exists before computing cofactors.
2. Shortest Distance Between Two Skew Lines
5 Marks — Repeated 8/10 YearsExaminer Tip: Keep vector notations clear. If lines are parallel, use the parallel distance formula with a single cross product.
3. Definite Integral King Property
3 to 5 MarksExaminer Tip: Add equation (1) and equation (2) to cancel trigonometric or logarithmic denominators directly.
4. Bayes' Theorem in Probability
4 to 5 MarksExaminer Tip: Explicitly define partition events and target event in written words before substituting numerical fractions.
Frequently Asked Questions
How is step marking allocated in Class 12 Maths?
In CBSE and BSEB, a 5-mark question is typically broken into: 1 mark for formula definition, 2 marks for algebraic substitution and intermediate steps, 1 mark for simplification, and 1 mark for the correct final answer with appropriate units. An incorrect final numerical value loses only 0.5 to 1 mark if all earlier steps are correct.
Which Calculus chapters should I prioritize first?
Start with Continuity and Differentiability (Chain Rule, logarithmic differentiation) followed by Integrals (substitution, partial fractions, and definite integral properties). Differential Equations is an easy high-scoring 5–6 marks once standard integrating factor (IF) methods are practiced.
Can I download these Maths PDF notes on mobile for offline study?
Yes. All 12 chapter links lead directly to Google Drive where you can view online or save the PDF files directly to your smartphone or laptop for offline revision.