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Tamil Nadu Board Class 9 Mathematics — Formula Sheet

Tamil Nadu Board Class 9 Mathematics formula sheet, chapter by chapter — 35 formulas across 7 chapters. Follows the TN DGE 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 — 7 Chapters

2

Real Numbers

8 entries
Non-Terminating Recurring Decimal: Decimal repeats a block of digits indefinitely (e.g., 1/3 = 0.333..., 2/7 = 0.285714285714...)
Irrational numbers: √2, √3, √5, π, e, φ (golden ratio), etc.
√n is irrational if n is not a perfect square
If a is rational and √b is irrational, then a+√b, a-√b, a√b, a/√b are all irrational
Law 1: (ⁿ√a)ⁿ = a = ⁿ√(aⁿ) - Taking root and raising to power are inverse operations
The full Real Numbers formula sheet
3

Algebra

3 entries
A zero of polynomial p(x) is a value 'a' where p(a) = 0
(a + b)² = a² + 2ab + b² - square of sum
A key extension of the Remainder Theorem: (x - a) is a factor of p(x) if and only if p(a) = 0.
The full Algebra formula sheet
5

Coordinate Geometry

5 entries
The x-coordinate of M = average of x-coordinates = (x₁ + x₂)/2.
The y-coordinate of M = average of y-coordinates = (y₁ + y₂)/2.
When m = n = 1, the section formula reduces to the mid-point formula.
The distance d between two points P(x₁,y₁) and Q(x₂,y₂) is calculated using the formula: d = √[(x₂-x₁)² + (y₂-y₁)²].
The midpoint M of a line segment joining points A(x₁,y₁) and B(x₂,y₂) is M = ((x₁+x₂)/2, (y₁+y₂)/2).
The full Coordinate Geometry formula sheet

4 more chapters below

Formula sheets for all 7 chapters with formulas.

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Frequently Asked Questions

Where can I find Tamil Nadu Board Class 9 Mathematics Formula Sheet?

This page has formula sheet for 7 chapters of Tamil Nadu Board Class 9 Mathematics for the 2026-27 session. 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

7 chapters

2

Real Numbers

3

Algebra

5

Coordinate Geometry

6

Trigonometry

7

Mensuration

8

Statistics

9

Probability

More Mathematics Resources

Tamil Nadu Board Class 9

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

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

Other Tamil Nadu Board Class 9 Subjects

Science