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Punjab Board Class 9 Mathematics — Formula Sheet

Punjab Board Class 9 Mathematics formula sheet, chapter by chapter — 20 formulas across 4 chapters. Follows the PSEB 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 — 4 Chapters

1

Number System

10 entries
Irrational numbers were first discovered by the Pythagoreans around 400 BC. Hippacus of Croton discovered that √2 is irrational.
Examples of irrational numbers: √2, √3, √5, √7, √15, π, 0.10110111011110...
√4 = 2 (rational), √9 = 3 (rational) — perfect square roots are rational, non-perfect square roots are irrational.
TERMINATING DECIMAL: The decimal expansion ends (remainder becomes 0). Example: 7/8 = 0.875
NON-TERMINATING RECURRING (REPEATING): The decimal goes on forever but a block of digits repeats. Example: 1/7 = 0.142857142857... = 0.̄1̄4̄2̄8̄5̄7̄
The full Number System formula sheet
2

Polynomials

5 entries
A ZERO of polynomial p(x) is a number 'c' such that p(c) = 0.
Finding a zero means solving the equation p(x) = 0.
FACTOR THEOREM: (x – a) is a factor of p(x) if and only if p(a) = 0.
The Factor Theorem is a special case of the Remainder Theorem (when remainder = 0, the divisor is a factor).
SPLITTING THE MIDDLE TERM: For ax^2 + bx + c, find two numbers p and q such that p + q = b and p × q = a × c. Rewrite bx as px + qx and factorise by grouping.
The full Polynomials formula sheet
3

Coordinate Geometry

2 entries
Quadrant I: Both x and y are positive → (+, +). Example: (3, 5)
Quadrant II: x is negative, y is positive → (−, +). Example: (−4, 2)
The full Coordinate Geometry formula sheet

1 more chapter below

Formula sheets for all 4 chapters with formulas.

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Frequently Asked Questions

Where can I find Punjab Board Class 9 Mathematics Formula Sheet?

This page has formula sheet for 4 chapters of Punjab 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

4 chapters

1

Number System

2

Polynomials

3

Coordinate Geometry

4

Linear Equations in Two Variables

More Mathematics Resources

Punjab 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 Punjab Board Class 9 Subjects

Science