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ICSE Class 12 Mathematics — Formula Sheet

ICSE Class 12 Mathematics formula sheet, chapter by chapter — 190 formulas across 13 chapters. Follows the ICSE / ISC syllabus.

How to Use the Formula Sheet

  1. Write, don't just read — writing each formula out helps it stick.
  2. Understand the derivation — you can rebuild a formula you half-remember.
  3. Group related formulas — link the ones that build on each other.
  4. Test yourself — cover the sheet and write the formulas from memory.

Chapter-Wise Formulas — 13 Chapters

1

Relations and Functions

16 entries
A × B = {(a, b): a ∈ A and b ∈ B}
n(A × B) = pq
Number of relations from A to B = 2^(pq)
Number of relations on A = 2^(p^2)
Relation from A to B: R ⊆ A × B
The full Relations and Functions formula sheet
2

Functions

14 entries
A relation f from a set A to a set B is a function if every element of A has exactly one image in B.
Domain of a function f:A→B is A; codomain is B; range is the set of all images of elements of A.
Number of functions from A to B = q^p
Constant function: f(x)=k
Identity function: f(x)=x
The full Functions formula sheet
3

Binary Operations

5 entries
Number of binary operations on A = (p)^(p^2)
n(A×A) = p^2
Commutative law: a*b = b*a
Associative law: (a*b)*c = a*(b*c)
Total binary operations on a p-element set = p^(p^2).
The full Binary Operations formula sheet

10 more chapters below

Formula sheets for all 13 chapters with formulas.

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Frequently Asked Questions

Where can I find ICSE Class 12 Mathematics Formula Sheet?

This page has formula sheet for 13 chapters of ICSE Class 12 Mathematics for the board exams 2027. Each chapter links to its own page with the full set.

Go through the syllabus first, then work chapter by chapter: learn the ideas, practise questions, and revise with notes and flashcards. Leave time at the end to revise every chapter once more under timed conditions.

Learn the formulas you use most first, and understand what each symbol means so you can apply them. Knowing where a formula comes from helps you rebuild it if you forget it in the exam.

Browse Formula Sheet by Chapter

13 chapters

1

Relations and Functions

2

Functions

3

Binary Operations

4

Inverse Trigonometric Functions

5

Matrices

6

Determinants

7

Applications of Matrices and Determinants

8

Continuity and Differentiability

9

Differentiation

10

Mean Value Theorems

11

Indeterminate Forms

12

Applications of Derivatives - I

13

Applications Of Derivatives - II

More Mathematics Resources

ICSE Class 12

Practice Quiz

Test yourself with quick quizzes

Important Questions

Exam-style questions with answers

Revision Notes

Key concepts and quick revision points

Chapter Summary

Understand each chapter at a glance

Concept Maps

Diagrams showing how topics connect

Study Plan

Week-by-week preparation schedule

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

Other ICSE Class 12 Subjects

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