9th Class Mathematics Notes (PCTB 2025)

Complete chapter-wise notes with solved exercises, MCQs, definitions, and review questions for Punjab Textbook Board syllabus. Perfect for exam preparation and concept reinforcement.

About These Notes

These comprehensive 9th Class Math notes cover the entire Punjab Textbook Board (PCTB) syllabus for 2025. Each chapter includes:

Solved exercises with step-by-step solutions
Multiple Choice Questions (MCQs) for practice
Important definitions and formulas
Chapter review exercises
Clear explanations of key concepts

Prepared by Muhammad Tayyab (MSc Mathematics), these notes are designed to help students master the 9th grade math curriculum and excel in their board examinations.

📘 Chapter 1 – Real Numbers – 9th Class Math Notes

Master real numbers with our comprehensive notes covering rational and irrational numbers, properties of real numbers, and their representation on the number line. Includes all exercises from the Punjab Textbook Board syllabus.

📄 Exercise 1.1 – Real Numbers 📄 Exercise 1.2 – Real Numbers 📄 Exercise 1.3 – Real Numbers 📙 Review Exercise – Chapter 1 📒 Definitions – Chapter 1 📝 MCQs – Chapter 1

📘 Chapter 2 – Logarithms – 9th Class Math Notes

Understand logarithms with our detailed notes covering laws of logarithms, common logarithms, and their applications. Includes all exercises from the Punjab Textbook Board syllabus.

📄 Exercise 2.1 – Logarithms 📄 Exercise 2.2 – Logarithms 📙 Review Exercise – Chapter 2 📒 Definitions – Chapter 2 📝 MCQs – Chapter 2

📘 Chapter 3 – Sets and Functions – 9th Class Math Notes

Master sets and functions with our comprehensive notes covering set operations, types of functions, and their graphical representations. Includes all exercises from the Punjab Textbook Board syllabus.

📄 Exercise 3.1 – Sets and Functions 📄 Exercise 3.2 – Sets and Functions 📙 Review Exercise – Chapter 3 📒 Definitions – Chapter 3 📝 MCQs – Chapter 3

📘 Chapter 4 – Factorization and Algebraic Manipulation – 9th Class Math Notes

Learn factorization techniques and algebraic manipulation with our detailed notes covering all methods from the Punjab Textbook Board syllabus.

📄 Exercise 4.1 – Factorization 📄 Exercise 4.2 – Algebraic Manipulation 📙 Review Exercise – Chapter 4 📒 Definitions – Chapter 4 📝 MCQs – Chapter 4

📘 Chapter 5 – Linear Equations and Inequalities – 9th Class Math Notes

Solve linear equations and inequalities with our comprehensive notes covering all methods from the Punjab Textbook Board syllabus.

📄 Exercise 5.1 – Linear Equations 📄 Exercise 5.2 – Inequalities 📙 Review Exercise – Chapter 5 📒 Definitions – Chapter 5 📝 MCQs – Chapter 5

📘 Chapter 6 – Trigonometry – 9th Class Math Notes

Master trigonometry with our detailed notes covering trigonometric ratios, identities, and applications from the Punjab Textbook Board syllabus.

📄 Exercise 6.1 – Trigonometry 📄 Exercise 6.2 – Trigonometry 📄 Exercise 6.3 – Trigonometry 📙 Review Exercise – Chapter 6 📒 Definitions – Chapter 6 📝 MCQs – Chapter 6

📘 Chapter 7 – Coordinate Geometry – 9th Class Math Notes

Understand coordinate geometry with our comprehensive notes covering distance formula, midpoint formula, and graphs from the Punjab Textbook Board syllabus.

📄 Exercise 7.1 – Coordinate Geometry 📄 Exercise 7.2 – Coordinate Geometry 📄 Exercise 7.3 – Coordinate Geometry 📙 Review Exercise – Chapter 7 📒 Definitions – Chapter 7 📝 MCQs – Chapter 7

📘 Chapter 8 – Logic – 9th Class Math Notes

Master mathematical logic with our detailed notes covering statements, truth tables, and logical reasoning from the Punjab Textbook Board syllabus.

📄 Exercise 8.1 – Logic 📙 Review Exercise – Chapter 8 📒 Definitions – Chapter 8 📝 MCQs – Chapter 8

📘 Chapter 9 – Similar Figures – 9th Class Math Notes

Understand similar figures with our comprehensive notes covering similarity criteria, ratio of areas, and applications from the Punjab Textbook Board syllabus.

📄 Exercise 9.1 – Similar Figures 📄 Exercise 9.2 – Similar Figures 📄 Exercise 9.3 – Similar Figures 📙 Review Exercise – Chapter 9 📒 Definitions – Chapter 9 📝 MCQs – Chapter 9

📘 Chapter 10 – Graphs of Functions – 9th Class Math Notes

Master graphing functions with our detailed notes covering linear, quadratic, and other functions from the Punjab Textbook Board syllabus.

📄 Exercise 10.1 – Graphs of Functions 📙 Review Exercise – Chapter 10 📒 Definitions – Chapter 10 📝 MCQs – Chapter 10

📘 Chapter 11 – Loci and Construction – 9th Class Math Notes

Understand loci and geometric constructions with our comprehensive notes covering all methods from the Punjab Textbook Board syllabus.

📄 Exercise 11.1 – Loci and Construction 📙 Review Exercise – Chapter 11 📒 Definitions – Chapter 11 📝 MCQs – Chapter 11

📘 Chapter 12 – Information Handling – 9th Class Math Notes

Master information handling with our detailed notes covering data representation, frequency distribution, and graphs from the Punjab Textbook Board syllabus.

📄 Exercise 12.1 – Information Handling 📄 Exercise 12.2 – Information Handling 📙 Review Exercise – Chapter 12 📒 Definitions – Chapter 12 📝 MCQs – Chapter 12

📘 Chapter 13 – Probability – 9th Class Math Notes

Understand probability with our comprehensive notes covering basic concepts, probability rules, and applications from the Punjab Textbook Board syllabus.

📄 Exercise 13.1 – Probability 📄 Exercise 13.2 – Probability 📙 Review Exercise – Chapter 13 📒 Definitions – Chapter 13 📝 MCQs – Chapter 13