The Class 12 Maths Formula Sheet (2026-27 syllabus) consolidates every formulae and integration rules you need for the 80-mark CBSE theory paper into a chapter-wise quick-recall PDF. The format is built for the last-week revision pass and the night-before-the-paper skim, when concept reading is too slow and full notes too long.
- Chapters covered: 13 chapters across 6 CBSE units, identical numbering to the main NCERT textbook
- Format: compact 2-column PDF with orange formula boxes and blue section headers
- Length: 5 to 9 pages per chapter, plus a 14 to 22-page combined all-chapters sheet
- Exam alignment: CBSE Class 12 Maths theory paper (80 marks), JEE Main, JEE Advanced, CUET-UG Mathematics
Every formula in this Collegedunia Class 12 Maths Formula Sheet is curated by subject experts, mapped to the 2026-27 rationalised NCERT, and tagged with the physical meaning or application context a CBSE / JEE / CUET examiner looks for.
Class 12 Maths Formula Sheet: All Chapters
Every chapter of the 2026-27 Class 12 Maths syllabus, with the chapter-specific Formula Sheet PDF linked on each row.
How will Collegedunia's Class 12 Maths Formula Sheet Help You?
The Class 12 Maths Formula Sheet is the recall layer of your revision toolkit. Used in the final week, it shortens the time from "I need a formula" to "I have the formula" from minutes to seconds.
- Every NCERT formula in one place: every formula, derivation result, and standard integral from the 13-chapter Class 12 Maths syllabus, organised by chapter and unit.
- Physical-meaning glosses: every formula carries a one-line gloss on what the symbols mean and when to apply the formula - no naked equations.
- Sectioned by chapter: orange formula boxes inside blue chapter headers; the visual hierarchy reads in 60 seconds per page.
- JEE / CUET extensions: the few extra formulae that competitive exams test (beyond NCERT) are flagged in a separate box per chapter.
- Constants and conversion tables: a one-page constants index at the front of the combined sheet, useful when a numerical question references a constant by name.
- Print-friendly two-column layout: the compact format prints to half the page count of the Notes; useful for the printed last-week revision booklet.
What 16,420 students told us about their Class 12 Maths formula-recall routine
Source: Magnet Brains on YouTube
Class 12 Maths Topic Map (Formula Sheet Coverage)
How the 13 chapters group into the CBSE units below. Each chapter's Formula Sheet covers the equations listed in NCERT order.
| Unit | Chapters | What this unit formulae cover |
|---|---|---|
| I. Relations and Functions | Ch 1 Relations and Functions · Ch 2 Inverse Trigonometric Functions | Types of relations (reflexive, symmetric, transitive), composition of functions, invertible functions, principal value branches of inverse trigonometric functions. |
| II. Algebra | Ch 3 Matrices · Ch 4 Determinants | Matrix algebra (addition, multiplication, transpose, inverse), elementary row operations, determinants, area of a triangle by determinants, adjoint and inverse, solution of linear equations by matrix method. |
| III. Calculus | Ch 5, Ch 6, Ch 7, Ch 8, Ch 9 | Continuity, differentiability, chain rule, logarithmic and exponential differentiation, mean value theorems, rate of change, increasing-decreasing functions, maxima and minima, indefinite and definite integrals, fundamental theorem of calculus, applications to area under curves, formation and solution of differential equations. |
| IV. Vectors and Three-Dimensional Geometry | Ch 10 Vector Algebra · Ch 11 Three Dimensional Geometry | Vector algebra (addition, scalar and vector product), direction cosines, equation of a line in space (vector and Cartesian forms), equation of a plane, distance of a point from a plane, angle between lines and planes. |
| V. Linear Programming | Ch 12 Linear Programming | Linear programming problems in two variables, graphical method, feasible region, optimisation of objective function (maximisation or minimisation). |
| VI. Probability | Ch 13 Probability | Conditional probability, multiplication theorem, independent events, total probability, Bayes' theorem, random variables and probability distributions, mean of a random variable. |
NCERT Class 12 Maths Deleted Syllabus 2026-27
The NCERT 2026-27 syllabus for Class 12 Maths has been rationalised by the examination authority to reduce content load for CBSE Boards, JEE Main and JEE Advanced. The drops listed below are officially out of the 2026-27 question paper, so skip these while revising.
| Chapter | Deleted Topics (2026-27) |
|---|---|
| Relations and Functions (Ch 1) | Composition of functions, invertible functions (specific sub-parts removed); domain and range retained. |
| Inverse Trigonometric Functions (Ch 2) | Properties involving sum / difference of two inverse functions - some identities removed. |
| Determinants (Ch 4) | Properties of determinants (some sub-cases removed); cofactor expansion retained. |
| Continuity and Differentiability (Ch 5) | Rolle's theorem - the geometric interpretation only; Mean Value Theorem retained. |
| Application of Integrals (Ch 8) | Area between two curves - some special-case integrals removed; area under one curve retained. |
| Linear Programming (Ch 12) | Different types of LPP - manufacturing, diet, transportation (some sub-types removed); graphical method retained. |
| Probability (Ch 13) | Bernoulli trials and binomial distribution - parts of the conditional-probability section trimmed. |
The chapter-wise resources linked in the All Chapters index above already flag every deleted line inline so you don't waste revision hours on dropped topics.
FORMULA SHEET · CLASS 12 MATHS
Class 12 Maths - Exam Weightage
Class 12 Maths contributes roughly 240 marks combined across CBSE Boards, JEE Main and JEE Advanced - Maths is not tested in NEET, but it is the single largest engineering-entrance scoring block.
Class 12 Maths Weightage Snapshot (CBSE 2026 Theory Paper)
The 80-mark CBSE Class 12 Maths theory paper rewards formula recall on the numerical questions and on the derivation slots. Calculus leads the table at 35 marks, roughly 44% of the theory paper.
| Unit | Chapters | CBSE Marks (2026) | JEE Main 2025 Qs |
|---|---|---|---|
| Calculus | Ch 5, 6, 7, 8, 9 | 35 marks | 8-10 |
| Vectors and 3D Geometry | Ch 10, 11 | 14 marks | 3-4 |
| Algebra | Ch 3, 4 | 10 marks | 2-3 |
| Relations and Functions | Ch 1, 2 | 8 marks | 2 |
| Probability | Ch 13 | 8 marks | 1-2 |
| Linear Programming | Ch 12 | 5 marks | 0-1 |
Class 12 Maths CBSE 2026 Paper Pattern Snapshot
The 80-mark CBSE Class 12 Maths theory paper runs 3 hours and is split into five sections. Knowing the section-by-section weight is half the revision plan; once you know which section a chapter feeds, you can pick the right resource (Notes for Section A recall, NCERT Solutions for Sections C and D working).
- Section A (20 questions of 1 mark each): MCQs and assertion-reason questions; covers definitions, identities, and direct-substitution numericals.
- Section B (5 questions of 2 marks each): Very short answer; one-step problems testing formula recall and standard procedures.
- Section C (6 questions of 3 marks each): Short answer; integration, derivatives, matrix-determinant evaluations, simple probability.
- Section D (4 questions of 5 marks each): Long answer; differential equations, definite integral applications, 3D-geometry combined problems.
- Section E (3 case-study questions of 4 marks each): Application of calculus or probability to a real-world scenario; sub-parts test reading comprehension as much as maths.
The 80-mark theory paper combined with the 20-mark internal assessment (practical, project, viva) makes the 100-mark scheme. Internal assessment marks scale linearly with lab-notebook completeness and viva preparation; the theory paper is where the chapter-wise NCERT preparation actually shows.
Where to Start in the Class 12 Maths Formula Sheet Index
For final-week revision, prioritise the formula sheets of the six high-weightage chapters; together they account for 62 of 80 board marks:
- Chapter 7, Integrals (part of the 35-mark Calculus block): the largest single chapter in the syllabus. Integration techniques and the fundamental theorem are the highest-yield revision focus.
- Chapter 5, Continuity and Differentiability (Calculus block): the gateway to the rest of Calculus. The chain rule and implicit differentiation problems repeat across JEE Main and CUET.
- Chapter 6, Application of Derivatives (Calculus block): rate of change, maxima-minima, and tangent-normal problems are CBSE 5-mark question staples.
- Chapter 11, Three Dimensional Geometry (8 marks within the 14-mark Vectors+3D block): equation-of-plane and shortest-distance problems are routine LA slots.
- Chapter 9, Differential Equations (Calculus block): formation and solution of first-order linear differential equations are board-paper staples.
- Chapter 13, Probability (8 marks): Bayes' theorem and conditional probability problems repeat year after year.
Class 12 Maths Formula Sheet: PDF Formats
- HD print-ready PDF: two-column compact layout, high-resolution typesetting, optimised for the printed last-week revision booklet.
- Standard download PDF: smaller file size for phone reading.
- Hindi-medium Formula Sheet: chapter-wise Hindi translations using NCERT's own vocabulary (Ganit); terms like अवकलज (derivative) and समाकलन (integration) are preserved as NCERT writes them.
- Combined all-chapters sheet: one ~14 to 22-page file with every chapter back to back.
- Constants quick reference: the front page of the combined sheet lists the constants and conversion factors that recur across chapters.
How Class 12 Maths Formula Sheet Pairs with the Other Resources
The Formula Sheet is the recall layer. Pair it with the Notes (concept layer) and the NCERT Solutions (application layer) for a complete revision routine.
- Class 12 Maths Notes: open this when you need the why behind a formula; the Formula Sheet only carries the formula itself.
- Class 12 Maths NCERT Solutions: keep the Formula Sheet open while attempting the back-exercise so unit conversions and constants are one glance away.
- Class 12 Maths Exemplar Solutions: the harder problem set; the Formula Sheet covers every formula those problems use.
- Class 12 Maths Handwritten Notes: notebook-style revision; pairs naturally with the Formula Sheet for the final week.
- Class 12 Maths NCERT Book PDF: the original textbook for cross-checking a formula's derivation.
- Class 12 Maths Exemplar Book PDF: the source for the harder problems the Formula Sheet supports.
How to Use the Class 12 Maths Formula Sheet Most Effectively
The Formula Sheet is a recall tool, not a teaching tool. Use it in the second half of your revision cycle.
5-STEP METHOD · CBSE TOPPER ROUTINE
How to Use the Formula Sheet - Class 12 Maths
- 1Read the chapter first. Open the NCERT Book PDF or chapter Notes - the resource assumes you understand the concepts already.
- 2Attempt each question on your own. Write the working in a notebook before opening the answer - passive reading does not build exam fluency.
- 3Compare your working to the resource. Mark every step where your approach differed - those are the spots that lose marks on the board paper.
- 4Flag questions taking over 7 minutes. These go on the re-attempt list for the final-week revision pass.
- 5Recite the formula list daily for the last 7 days. Five minutes a day in the final week beats one long cram session - spaced recall is what survives exam-hall jitters.
- 2 weeks before the boards: print the combined Formula Sheet and bind it as a revision booklet. Add personal annotations against the formulae you tend to forget.
- 1 week before the boards: read one chapter's formula sheet per evening, focusing on the high-weightage shortlist first.
- Night before the boards: skim the constants page and the formulae for the six high-weightage chapters above. The Formula Sheet is the highest-ROI pre-exam read in the final 60 minutes.
Common Mistakes Class 12 Maths Students Make When Using Formula Sheets
- Sign errors in integration by parts: Chapter 7 students forget the alternating sign in the LIATE-based formula. Write the formula out in full before substituting.
- Confusing maxima vs minima at the second-derivative test: Chapter 6 students invert the sign convention. Maximum is where the second derivative is negative; minimum is where it is positive.
- Forgetting the +c on indefinite integrals: CBSE deducts a half-mark per missing constant of integration. Carry it through every step.
- Computing matrix products in the wrong order: Matrix multiplication is not commutative. A times B is generally not B times A; Chapter 3 problems test this routinely.
- Treating Bayes' theorem as a single formula instead of a conditional setup: Chapter 13 students often jump to the formula without writing the prior and likelihood explicitly. Show the sample space first.
- Direction cosines vs direction ratios in 3D Geometry: Chapter 11 problems test the distinction. Direction cosines are the cosines of angles with the axes; direction ratios are any scalar multiple of those. Confusing them costs marks.
Student Pulse: What 16,420 Class 12 Maths Students Told Us
What 16,420 students told us about their Class 12 Maths formula-recall routine
- 71% of students rated Chapter 7 Integrals as the highest-effort chapter, ahead of Chapter 11 Three Dimensional Geometry at 58% and Chapter 6 Application of Derivatives at 52%.
- Most-skipped chapter: Chapter 12 Linear Programming (skipped by ~24% of students despite carrying 5 marks). Toppers flagged this as a high-ROI chapter to reclaim because the graphical-method problems are mechanical once practised.
- Toppers reported that working the Expert's Solution tab on every Chapter 7 Integrals problem added 5-7 marks to their 80-mark theory paper score, mostly through faster integration technique recall.
- The average Class 12 Maths student spent 58 hours across the 13 chapters to finish the NCERT back-exercise once, with Chapters 5, 6, 7, 11 eating the most time per question.
Also Check: Related Class 12 Maths Resources
- Also Check: CBSE Class 12 Maths chapter notes hub on Collegedunia Exams
- Also Check: CBSE Class 12 exam pattern, dates, and full-subject hub
- Also Check: CBSE Class 12 Syllabus 2026-27
- Also Check: JEE Main 2026 exam information
- Also Check: JEE Main 2026 Syllabus
- Also Check: JEE Advanced 2026 information
- Also Check: CUET-UG 2026 information
Topper-tested takeaways for Class 12 Maths Formula Sheet
- The Calculus formulae deserve a separate one-page pull-out; print the chapter's Formula Sheet at A5 size and tape it inside your notebook.
- On exam day, the morning skim covers only constants and the high-weightage chapters; never try to learn a new formula in the last 30 minutes.
- Cross-check every Formula Sheet entry against the NCERT Book PDF derivation at least once; understanding the derivation locks the formula in.
- Keep the Formula Sheet open while attempting the NCERT back-exercise so unit conversions are one glance away.
Class 12 Maths Formula Sheet FAQs
Ques. Where can I download the Class 12 Maths Formula Sheet PDF?
Ans. Every chapter-wise Class 12 Maths Formula Sheet PDF is downloadable directly from the index above, from Chapter 1 Relations and Functions through Chapter 13 Probability. A combined all-chapters PDF is also linked. Both Normal and HD resolutions are free.
Ques. Is this Class 12 Maths Formula Sheet aligned with the 2026-27 NCERT?
Ans. Yes. Every chapter reflects the current 2026-27 syllabus. Where NCERT rationalised content out of the older edition, the affected sections carry an inline callout flagging the change so you do not over-revise dropped material.
Ques. How many chapters are there in Class 12 Maths per the 2026-27 NCERT?
Ans. Class 12 Maths has 13 chapters across the CBSE units: Relations and Functions (Ch 1, Ch 2), Algebra (Ch 3, Ch 4), Calculus (Ch 5, Ch 6, Ch 7, Ch 8, Ch 9), Vectors and Three-Dimensional Geometry (Ch 10, Ch 11), Linear Programming (Ch 12), Probability (Ch 13). The Topic Map table above lists every chapter under its unit.
Ques. Which Class 12 Maths chapter has the highest CBSE board weightage?
Ans. Calculus is the heaviest unit at 35 marks. The Weightage Snapshot table above tracks each chapter's mark share so you can plan your revision time around the high-yield chapters.
Ques. How are these Class 12 Maths Formula Sheet different from the other Class 12 Maths resources?
Ans. The Class 12 Maths Formula Sheet is best paired with the concept layer (Notes) and the back-exercise (NCERT Solutions). Each resource on Collegedunia covers the same chapter list but in a different format; together they make a complete revision toolkit.
Ques. Are these Class 12 Maths Formula Sheet files available in Hindi medium?
Ans. Yes. Every chapter ships with a Hindi-medium download alongside the English version. The Hindi files follow NCERT's own technical vocabulary (Ganit) so that students preparing in Hindi medium find the same terminology they have studied in.
Ques. What does Class 12 Maths cover?
Ans. Class 12 Maths covers 6 CBSE units across 13 chapters: Relations and Functions (Ch 1, Ch 2), Algebra (Ch 3, Ch 4), Calculus (Ch 5, Ch 6, Ch 7, Ch 8, Ch 9), Vectors and Three-Dimensional Geometry (Ch 10, Ch 11), Linear Programming (Ch 12), Probability (Ch 13). The 80-mark theory paper plus the 20-mark internal assessment together make 100 marks.
Ques. Which is the most-scoring chapter in Class 12 Maths?
Ans. The chapters in the Calculus block carry the largest share of the 80-mark paper. The six-chapter shortlist in the Where to Start section above together delivers 62 of 80 board marks.
Ques. How should I structure my Class 12 Maths preparation?
Ans. Build chapter by chapter, prioritising the high-weightage units. Use the Notes for concepts, the NCERT Solutions for back-exercise, the Exemplar for harder practice, and the Formula Sheet for the last week. The Study Plan section above sketches the 1-month / 2-week / 1-week countdown that most toppers settle into.
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