📘 Chapter 1 – Real Numbers
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Real numbers form the foundation of mathematics. This chapter covers rational and irrational numbers, decimal representation, and operations on real numbers.
- 📄 Exercise 1.1 View Notes
- 📄 Exercise 1.2 View Notes
- 📄 Exercise 1.3 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📗 Chapter 2 – Logarithms
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Logarithms help simplify complex calculations. This chapter covers laws of logarithms, common logarithms, and applications in solving exponential equations.
- 📄 Exercise 2.1 View Notes
- 📄 Exercise 2.2 View Notes
- 📄 Exercise 2.3 View Notes
- 📄 Exercise 2.4 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📙 Chapter 3 – Sets and Functions
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Sets and functions are fundamental concepts in mathematics. This chapter covers set operations, Venn diagrams, types of functions, and function notation.
- 📄 Exercise 3.1 View Notes
- 📄 Exercise 3.2 View Notes
- 📄 Exercise 3.3 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📕 Chapter 4 – Factorization and Algebraic Manipulation
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Factorization simplifies algebraic expressions. This chapter covers various factorization techniques, algebraic fractions, and simplification of complex expressions.
- 📄 Exercise 4.1 View Notes
- 📄 Exercise 4.2 View Notes
- 📄 Exercise 4.3 View Notes
- 📄 Exercise 4.4 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📔 Chapter 5 – Linear Equations and Inequalities
Linear equations and inequalities are essential for solving real-world problems. This chapter covers solving linear equations, graphing inequalities, and word problems.
- 📄 Exercise 5.1 View Notes
- 📄 Exercise 5.2 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📒 Chapter 6 – Trigonometry
Trigonometry deals with relationships between angles and sides of triangles. This chapter covers trigonometric ratios, identities, and applications in solving triangles.
- 📄 Exercise 6.1 View Notes
- 📄 Exercise 6.2 View Notes
- 📄 Exercise 6.3 View Notes
- 📄 Exercise 6.4 View Notes
- 📄 Exercise 6.5 View Notes
- 📄 Exercise 6.6 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📚 Chapter 7 – Coordinate Geometry
Coordinate geometry connects algebra and geometry. This chapter covers the Cartesian plane, distance formula, midpoint formula, and equations of lines.
- 📄 Exercise 7.1 View Notes
- 📄 Exercise 7.2 View Notes
- 📄 Exercise 7.3 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📖 Chapter 8 – Logic
Logic forms the basis of mathematical reasoning. This chapter covers statements, truth tables, logical equivalence, and basic proof techniques.
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📙 Chapter 9 – Similar Figures
Similar figures have the same shape but different sizes. This chapter covers similarity criteria, ratio of areas and volumes, and applications in geometry.
- 📄 Exercise 9.1 View Notes
- 📄 Exercise 9.2 View Notes
- 📄 Exercise 9.3 View Notes
- 📄 Exercise 9.4 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📘 Chapter 10 – Graphs of Functions
Graphs provide visual representations of functions. This chapter covers linear, quadratic, and other basic functions, their graphs, and interpretations.
- 📄 Exercise 10.1 View Notes
- 📄 Exercise 10.2 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📔 Chapter 11 – Loci and Construction
Loci are sets of points satisfying specific conditions. This chapter covers basic geometric constructions, loci problems, and their applications.
- 📄 Exercise 11.1 View Notes
- 📄 Exercise 11.2 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📒 Chapter 12 – Information Handling
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Information handling involves organizing and interpreting data. This chapter covers data collection, representation through graphs and charts, and basic statistics.
- 📄 Exercise 12.1 View Notes
- 📄 Exercise 12.2 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
📙 Chapter 13 – Probability
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Probability measures the likelihood of events. This chapter covers basic probability concepts, sample spaces, and calculation of probabilities for simple events.
- 📄 Exercise 13.1 View Notes
- 📄 Exercise 13.2 View Notes
- 📙 Review Exercise View Notes
- 📒 Definitions View Notes
- 📝 MCQs View Notes
Complete Class 9 Mathematics Solutions (PECTAA / Punjab Board)
Our Class 9 Mathematics Notes – Punjab Curriculum (PECTAA 2025) provide complete, concept-based solutions for the entire syllabus. These notes strictly follow the latest guidelines of the Punjab Education Curriculum Training and Assessment Authority and are ideal for students, teachers, and exam candidates who prefer high-quality, authentic study material.
What You Will Get
- ✅ Step-by-step solved exercises (all units)
- ✅ Clear definitions and important theorems
- ✅ Practice MCQs with correct answers
- ✅ Review exercises with complete solutions
- ✅ Chapter-wise important questions
- ✅ Exam preparation and scoring tips
Chapters and Covered Topics
Real Numbers, Logarithms, Algebraic Expressions, Matrices, Geometry, Coordinate Geometry, Trigonometry, Mensuration, and Statistics. These notes are suitable for both English and Urdu medium students following the Punjab Board (PCTB / PECTAA) syllabus and offer complete support for conceptual understanding and exam preparation.