Class 12 Maths Formula Sheet 2026-27 — All 13 Chapters | NCERT Kaksha

CBSE 2026-27 · Board Ready

Class 12 Maths Formula Sheet — All 13 Chapters in One Revision Map

The complete chapter-wise formula guide 30,138+ CBSE Class 12 students trust to revise the entire Maths syllabus in under an hour — Relations to Probability, every formula in one place.

📘 Get the Maths Formula Sheet — ₹99
Class 12 Maths formula sheet all 13 chapters CBSE 2026-27 NCERT Kaksha
30,138+ Class 12 students trust it
4.6★ from 681 reviews
₹99 instant PDF ₹199
45 min complete Maths revise
✅ Made by IITians & NITians 🚚 COD Available ⚡ Instant email delivery 🔄 7-day easy return
📘 Get the Maths Formula Sheet — ₹99
Quick Answer: The CBSE Class 12 Maths syllabus for 2026-27 has 13 chapters across six units. Unlike Physics, Maths marks come almost entirely from method + correct formula application — Calculus alone (Continuity, AOD, Integrals, Differential Equations) carries the largest block of the 80-mark theory paper. A well-organised formula sheet that puts every standard integral, derivative, and vector identity in one place is the fastest way to stop losing marks to forgotten steps. The NCERT Kaksha Class 12 Maths Formula Sheet covers all 13 chapters in 58 colour-coded pages — instant PDF ₹99 (from ₹199), printed option available.

Class 12 Maths rarely punishes you for not understanding a concept. It punishes you for the one forgotten formula in a six-step integration, or the sign slip in a vector cross product, or blanking on the standard derivative of an inverse trig function mid-paper. The knowledge is there — the recall isn't.

That's exactly the gap a formula sheet closes. This guide is the full chapter-wise map of every Class 12 Maths formula you need for CBSE 2026-27 — the same map inside the NCERT Kaksha Maths Formula Sheet, handwritten by IITians, NITians, and district toppers.

Why Class 12 Maths Marks Live in Formula Recall

Physics gives partial credit for the right approach even if a number is off. Maths is stricter — a wrong formula usually collapses the whole solution, and a six-mark question can go to zero from a single early slip. That makes instant, exact formula recall the highest-leverage skill in the subject.

The trap is revising Maths by re-solving whole chapters from the textbook. That builds understanding, not speed. In the final 30 days you don't need to re-derive the integral of sec x — you need to see it in one second and move on. That's a one-page job, not a 300-page one.

CBSE Class 12 Maths — Unit-Wise Marks Weightage (2026-27)

The theory paper is 80 marks (plus 20 internal). Here's how marks spread across the six units — the data that should decide where your revision hours go:

Unit Chapters Marks
Relations & Functions Relations, Inverse Trigonometry 08
Algebra Matrices, Determinants 10
Calculus Continuity & Diff., AOD, Integrals, App. of Integrals, Differential Eqns 35
Vectors & 3D Geometry Vectors, Three-Dimensional Geometry 14
Linear Programming Linear Programming 05
Probability Probability 08
Total (Theory) 13 chapters 80

The takeaway: Calculus alone is 35 of 80 marks — nearly half the paper. In our 20+ years of teaching at NCERT Kaksha, students who lock down the Calculus formula set first (standard derivatives, the full standard-integrals table, and differential-equation forms) see the fastest jump, because those formulas recur across every question type.

NCERT Kaksha data point: Across all 13 chapters there are a few hundred formulas, but a compact core — the standard-integrals table, derivative rules, and vector/3D identities — drives the majority of scoring questions. Our sheet flags these so you revise the vital set first.

What's Inside the NCERT Kaksha Maths Formula Sheet

The Class 12 Maths Formula Sheet is a designed revision system, not a formula dump:

  • All 13 CBSE 2026-27 chapters — Relations & Functions to Probability
  • 58 pages of colour-coded, handwritten notes
  • Full standard-integrals & derivatives tables — the highest-value pages in the book
  • Diagram & graph support where it matters (AOD, 3D, LPP)
  • A5 pocket size (21.2 × 14.8 cm) — fits every school bag
  • Made by IITians, NITians & toppers
  • ✅ Choose Printed (dispatch in 24 hours) or instant PDF
  • ✅ Combos: Maths only, Phy+Chem, PCM, PCB, or full PCMB

See How Colourful & Organized the Notes Actually Are

This is exactly what lands in your hands (or inbox) — colour-coded, table-driven, and laid out so your eyes find a formula in seconds:

Class 12 Maths formula sheet colour-coded page NCERT Kaksha
Colour-coded formulas — red for key results, blue for definitions, teal for conditions.
Class 12 Maths standard integrals table topper notes
Table-driven layout — standard integrals & derivatives at a glance.
Class 12 Maths topper handwritten notes neat layout
Handwritten & neat — topper-style pages that are easy to scan.
Class 12 Maths formula sheet book cover NCERT Kaksha
Compact A5 size — the whole subject in a pocket-friendly booklet.

All 13 Chapters — Key Formulas You Cannot Forget

Your chapter-wise map. Each card shows the most exam-critical formulas — the full sheet has the complete list with tables, conditions, and shortcuts.

1Relations and Functions

Equivalence relationReflexive + Symmetric + Transitive
One-one (injective) conditionf(a) = f(b) ⟹ a = b
Composition(g∘f)(x) = g(f(x))

2Inverse Trigonometric Functions

Sum identitytan⁻¹x + tan⁻¹y = tan⁻¹((x+y)/(1−xy))
Complementary pairsin⁻¹x + cos⁻¹x = π/2
Double angle2 tan⁻¹x = sin⁻¹(2x/(1+x²))

3Matrices

Transpose of product(AB)ᵀ = BᵀAᵀ
Symmetric / Skew-symmetricA = Aᵀ / A = −Aᵀ
Any square matrix splitA = ½(A+Aᵀ) + ½(A−Aᵀ)

4Determinants

Inverse of a matrixA⁻¹ = (1/|A|) · adj A, |A| ≠ 0
Area of a triangleΔ = ½ |x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)|
Product property|AB| = |A| · |B|

5Continuity and Differentiability

Product rule(uv)′ = u′v + uv′
Quotient rule(u/v)′ = (u′v − uv′)/v²
Chain ruledy/dx = (dy/du)(du/dx)

6Application of Derivatives

Slope of tangentm = dy/dx at (x₁, y₁)
Increasing / Decreasingf′(x) > 0 ⟹ increasing; f′(x) < 0 ⟹ decreasing
Maxima/Minima testf′(x) = 0, then check sign of f″(x)

7Integrals

Power rule∫xⁿ dx = xⁿ⁺¹/(n+1) + C, n ≠ −1
By parts∫u v dx = u∫v dx − ∫(u′ ∫v dx) dx
Standard form∫dx/(x²+a²) = (1/a) tan⁻¹(x/a) + C

8Application of Integrals

Area under a curveA = ∫ₐᵇ y dx
Area between two curvesA = ∫ₐᵇ (y_upper − y_lower) dx
Area w.r.t. y-axisA = ∫_c^d x dy

9Differential Equations

Variable separable∫dy/g(y) = ∫f(x) dx + C
Linear (first order)dy/dx + Py = Q
Integrating factorI.F. = e^∫P dx

10Vector Algebra

Dot producta·b = |a||b| cos θ
Cross product|a×b| = |a||b| sin θ
Projection of a on b(a·b)/|b|

11Three-Dimensional Geometry

Line (vector form)r = a + λb
Angle between linescos θ = (b₁·b₂)/(|b₁||b₂|)
Distance point to planed = |ax₁+by₁+cz₁+d| / √(a²+b²+c²)

12Linear Programming

Objective functionZ = ax + by (maximise / minimise)
Optimal solution ruleOptimum lies at a corner point of the feasible region
ConstraintsLinear inequalities in x, y ≥ 0

13Probability

Conditional probabilityP(A|B) = P(A∩B)/P(B), P(B) ≠ 0
Multiplication theoremP(A∩B) = P(A)·P(B|A)
Bayes' theoremP(Eᵢ|A) = P(Eᵢ)P(A|Eᵢ) / Σ P(Eⱼ)P(A|Eⱼ)

How to Use the Formula Sheet the Right Way

Sirf sheet khareedne se marks nahi milte. This is how our top-scoring Maths students use it:

1. Master the tables first (Day 1)

Start with the standard-integrals and derivatives tables. These two pages alone unlock Calculus — 35 marks. Read them end-to-end before anything else.

2. Mark your "danger zone" (Day 2)

Highlight the formulas you keep slipping on — usually integration by parts, inverse-trig identities, the integrating factor, and 3D distance formulas. This becomes your daily 10-minute drill.

3. Solve one PYQ per chapter, sheet open (Days 3–20)

Open a previous-year board paper. Solve one question per chapter with the sheet beside you. Your brain builds the link: "this question type → this formula." That's how instant recall is trained.

4. Two cold passes before boards (Day 30 & exam morning)

One full cold-revision pass 30 days out. One final 20-minute pass on exam-day morning — the pass that saves your paper.

Keep an "Error List" — the habit that saves 5+ marks

Maintain one page for the mistakes you repeat — a sign error in cross products, the wrong limits in area problems, forgetting +C. In the final week, read only this list. This single habit routinely saves 5–8 marks.

Traditional Revision vs. Formula Sheet Revision

Approach Textbook NK Formula Sheet
Time to revise full Maths 8–10 hours 40–45 minutes
Formula lookup speed 2–3 minutes 3–5 seconds
Standard integrals in one place Scattered Single table
Portability Heavy books A5 pocket size
Exam-day morning use Overwhelming Designed for it
Cost Textbook + notes ₹99 (PDF) one-time

What Real Class 12 Students Are Saying

Class 12 Maths Formula Sheet book cover NCERT Kaksha

Class 12 Maths Handwritten Notes 2026-27

★★★★★ (681 reviews · 30,138+ students)
₹99₹199· Instant PDF
📘 Buy Now
★★★★★

"Excellent note for best preparation for board exam and it's also helpful for revision before exam."

— Vikash Sharma, verified buyer
★★★★★

"Nice formula sheet — everything in one place, no need to flip pages."

— Ravishekhar, verified buyer
★★★★★

"Amazing formula sheet. Finished my Maths revision in one sitting."

— Riya Lamje, verified buyer

681 verified reviews · 4.6-star average · 68% five-star

Frequently Asked Questions

How many chapters are there in Class 12 Maths for CBSE 2026-27?

There are 13 chapters across six units — Relations & Functions, Algebra, Calculus, Vectors & 3D Geometry, Linear Programming, and Probability.

Which unit carries the most marks in Class 12 Maths?

Calculus — around 35 of the 80 theory marks, covering Continuity & Differentiability, Application of Derivatives, Integrals, Application of Integrals, and Differential Equations.

Which is the best formula sheet for Class 12 Maths?

The NCERT Kaksha Class 12 Maths Formula Sheet — 58 pages, all 13 chapters, colour-coded and handwritten by IITians and NITians, PDF from ₹99 (from ₹199).

How many pages is the Class 12 Maths formula sheet?

58 pages of handwritten, chapter-wise notes covering the complete CBSE 2026-27 Maths syllabus.

Can I score 90+ using only the formula sheet?

The sheet alone won't cross 90+, but it's the single biggest score multiplier in Maths, where a forgotten formula collapses a whole solution. Combined with NCERT practice and PYQs, it's what pushes you from 78 to 92+.

Is it available as PDF or printed?

Both. Choose Printed (A5, dispatched within 24 hours) or PDF (instant email delivery after payment).

How long does full Maths revision take with the sheet?

Designed for 15–45 minutes of full-syllabus revision. Most students finish one pass in about 40 minutes and an exam-day pass in 20.

Which chapters should I prioritise?

Start with Calculus (Integrals, AOD, Differential Equations) since it carries the most marks, then Vectors & 3D Geometry, then Algebra. The sheet's standard-integrals and derivatives tables are the highest-value pages.

Is there a discount?

Yes — use code TOPPER at checkout for 5% off. Combos (Phy+Chem, PCM, PCB, PCMB) save more for multi-subject students.

Ready to Revise Maths in 45 Minutes Flat?

Join 30,138+ Class 12 students who trust NCERT Kaksha for board revision.

₹199₹99

Use code TOPPER for 5% off · COD Available

📘 Order Maths Formula Sheet Now

Also in combos: PCM · PCB · PCMB · Phy+Chem

📚 Looking for Blogs for another subject or class?

Browse every NCERT Kaksha Blogs & short notes in one place.

Browse All Blogs→