The Class 12 Maths Formula Sheet (2026-27 syllabus) puts every formula and integration rule for the 80-mark CBSE theory paper in one chapter-wise PDF. Use it for the last-week revision and the night-before skim.
Class 12 Maths Formula Sheet PDF Download
Every chapter of the 2026-27 Class 12 Maths syllabus is below. Each row links to that chapter's Formula Sheet PDF.
It saves time when reading full notes is too slow.
- 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
Subject experts pick every formula in this Collegedunia Class 12 Maths Formula Sheet. Each one maps to the 2026-27 NCERT. Each also shows the physical meaning or use that a CBSE, JEE or CUET examiner looks for.
How will Collegedunia's Class 12 Maths Formula Sheet Help You?
The Class 12 Maths Formula Sheet is the recall layer of your revision kit. Use it in the final week. It cuts the time from "I need a formula" to "I have the formula" from minutes to seconds.
- Every NCERT formula in one place: every formula, result, and standard integral from the 13-chapter Class 12 Maths syllabus, sorted by chapter and unit.
- Plain-meaning notes: every formula has a one-line note on what the symbols mean and when to use it. No bare equations.
- Sorted by chapter: orange formula boxes inside blue chapter headers. You can read each page in 60 seconds.
- JEE and CUET extras: the few extra formulae that entrance exams test (beyond NCERT) are marked in a separate box per chapter.
- Constants and conversion tables: a one-page constants list at the front of the combined sheet. It helps when a numerical question names a constant.
- Print-friendly two-column layout: the compact format prints to half the pages of the Notes. Good for a 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)
Here is how the 13 chapters fall into the CBSE units below. Each chapter's Formula Sheet covers the equations 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
NCERT trimmed the 2026-27 Class 12 Maths syllabus to reduce the 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 resources 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 gives you about 240 marks combined across CBSE Boards, JEE Main and JEE Advanced. Maths is not in NEET, but it is the single largest scoring block for engineering entrance.
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 the derivation slots. Calculus tops the table at 35 marks, about 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 has five sections. Knowing the weight of each section 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 that test formula recall and standard methods.
- 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): calculus or probability applied to a real-world case. Sub-parts test reading skills as much as maths.
The 80-mark theory paper plus the 20-mark internal assessment (practical, project, viva) make the 100-mark scheme. Internal assessment marks rise with a complete lab notebook and good viva prep. The theory paper is where your chapter-wise NCERT prep actually shows.
Where to Start with Class 12 Maths Formula Sheet
For final-week revision, do the formula sheets of the six high-weightage chapters first. Together they carry 62 of 80 board marks:
- Chapter 7, Integrals (part of the 35-mark Calculus block): the largest chapter in the syllabus. Integration methods and the fundamental theorem give the most marks, so revise them first.
- Chapter 5, Continuity and Differentiability (Calculus block): the base for the rest of Calculus. 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 common CBSE 5-mark questions.
- Chapter 11, Three Dimensional Geometry (8 marks within the 14-mark Vectors+3D block): equation-of-plane and shortest-distance problems are common long-answer slots.
- Chapter 9, Differential Equations (Calculus block): forming and solving first-order linear differential equations are board-paper regulars.
- 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 with sharp printing, made for the printed last-week revision booklet.
- Standard download PDF: smaller file size for phone reading.
- Hindi-medium Formula Sheet: chapter-wise Hindi versions using NCERT's own terms (Ganit). Words like अवकलज (derivative) and समाकलन (integration) are kept exactly 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 appear 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 full revision routine.
- Class 12 Maths Notes: open this when you need the why behind a formula. The Formula Sheet carries only the formula itself.
- Class 12 Maths NCERT Solutions: keep the Formula Sheet open while you do 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. It pairs well with the Formula Sheet for the final week.
- Class 12 Maths NCERT Book PDF: the original textbook for checking a formula's derivation.
- Class 12 Maths Exemplar Book PDF: the source of 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.
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 Formula Sheet assumes you already know the concepts.
- 2Try each question on your own. Write the working in a notebook before you open the answer. Just reading answers does not build exam speed.
- 3Compare your working to the solution. Mark every step where your method was different. 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 nerves.
- 2 weeks before the boards: print the combined Formula Sheet and bind it as a revision booklet. Add your own notes next to the formulae you tend to forget.
- 1 week before the boards: read one chapter's formula sheet each evening. Do the high-weightage shortlist first.
- Night before the boards: skim the constants page and the formulae for the six high-weightage chapters above. In the final 60 minutes, the Formula Sheet is the best thing to read.
Common Mistakes Class 12 Maths Students Make When Using Formula Sheets
- Sign errors in integration by parts: Chapter 7 students forget the changing sign in the LIATE formula. Write the formula out in full before you substitute.
- Mixing up maxima and minima in the second-derivative test: Chapter 6 students flip the sign rule. Maximum is where the second derivative is negative. Minimum is where it is positive.
- Forgetting the +c on indefinite integrals: CBSE cuts a half-mark for each missing constant of integration. Carry it through every step.
- Multiplying matrices in the wrong order: matrix multiplication does not commute. A times B is usually not B times A. Chapter 3 problems test this often.
- Treating Bayes' theorem as one formula instead of a conditional setup: Chapter 13 students often jump to the formula without writing the prior and likelihood. Show the sample space first.
- Direction cosines vs direction ratios in 3D Geometry: Chapter 11 problems test this difference. Direction cosines are the cosines of angles with the axes. Direction ratios are any scalar multiple of those. Mixing them up costs marks.
Student Feedback: 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 about 24% of students, even though it carries 5 marks). Toppers said this is an easy chapter to win back, because the graphical-method problems become routine once you practise them.
- Toppers said that using the Expert's Solution tab on every Chapter 7 Integrals problem added 5-7 marks to their 80-mark theory paper score, mostly from faster recall of integration methods.
- The average Class 12 Maths student spent 58 hours across the 13 chapters to finish the NCERT back-exercise once. Chapters 5, 6, 7, 11 took 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
- Give the Calculus formulae 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.
- Check every Formula Sheet entry against the NCERT Book PDF derivation at least once. Once you understand the derivation, the formula sticks.
- Keep the Formula Sheet open while you do 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 follows the current 2026-27 syllabus. Where NCERT cut content from the older edition, the sections carry an inline callout. This flags the change so you do not 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 works best with the concept layer (Notes) and the back-exercise (NCERT Solutions). Each Collegedunia resource covers the same chapter list but in a different format. Together they make a complete revision kit.
Ques. Are these Class 12 Maths Formula Sheet files available in Hindi medium?
Ans. Yes. Every chapter has a Hindi-medium download next to the English version. The Hindi files use NCERT's own terms (Ganit), so Hindi-medium students see the same terms they have studied.
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, and do the high-weightage units first. Use the Notes for concepts, the NCERT Solutions for the back-exercise, the Exemplar for harder practice, and the Formula Sheet for the last week. The Study Plan section above shows the 1-month, 2-week, and 1-week countdown most toppers follow.
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