Mathematics Class 9 - Solved Exercise - New Syllabus 2025
Download complete chapter-wise math notes from the 9th Math New Book (Syllabus 2025–26), following the Punjab Textbook Board (PTB) guidelines.
Whether you’re a student of English Medium or Urdu Medium, these notes are carefully prepared to match your needs. You can easily download chapter-wise solved exercises, definitions, formulas, examples, and MCQs for better preparation.
📘 What’s Included in 9th Class Math Notes?
✅ Complete Solved Exercises (All Units)
✅ Important Formulas and Theorems
✅ Word Problems with Step-by-Step Solutions
✅ Topic-wise Definitions and Properties
✅ Examples from the PTB Textbook with Solutions
✅ Easy Language for Urdu & English Medium Students
✅ Printable & Mobile-Friendly PDF Format
✅ 100% Free Download – No Sign-up Required
📚 9th Math New Book Chapters (2025–26)
We have uploaded notes for all units of Class 9 Math New Book:
✅ Unit 1 – Real Numbers
This chapter introduces the foundational concepts of real numbers, including rational and irrational numbers. Students learn about number line representation and basic properties. The unit also covers operations and classifications of real numbers. It forms the base for higher-level algebra and arithmetic.
✅ Unit 2 – Logarithms
Logarithms are introduced to simplify large number calculations. Students understand log laws, base conversion, and solving exponential equations. This chapter builds a bridge between algebra and higher mathematics. Practice includes both theoretical and real-life problems.
✅ Unit 3 – Sets and Functions
Students explore the concept of sets, Venn diagrams, and types of functions. The unit focuses on union, intersection, and complement operations. It enhances logical reasoning and classification skills. Functions are introduced with real-world applications.
✅ Unit 4 – Factorization and Algebraic Manipulation
This chapter teaches how to factor and simplify algebraic expressions. Students practice identities, expansions, and basic equation solving. Key skills include grouping, common factors, and special formulas. It’s crucial for solving future algebraic problems.
✅ Unit 5 – Linear Equations and Inequalities
Linear equations in one and two variables are discussed with step-by-step solving techniques. Inequalities and their graphical representations are also included. Real-life applications and word problems help students connect math with daily scenarios. This unit lays the foundation for algebraic graphing.
✅ Unit 6 – Trigonometry
Students learn the basics of trigonometric ratios like sine, cosine, and tangent. The unit includes angle measurement, Pythagoras theorem application, and solving right-angle triangles. Real-life applications such as height and distance problems are introduced. Trigonometry is a key tool for geometry and physics.
✅ Unit 7 – Coordinate Geometry
Coordinate geometry connects algebra and geometry using the Cartesian plane. Students learn to plot points, find distance, and midpoints between two coordinates. The chapter also covers equations of straight lines. It’s an essential skill for data interpretation and map reading.
✅ Unit 8 – Logic
This chapter introduces logical statements, truth tables, and logical reasoning. Students analyze compound and simple statements using logic operators. It’s useful for computer science and analytical problem solving. The unit enhances critical thinking and mathematical logic skills.
✅ Unit 9 – Similar Figures
Students understand the concept of similarity in shapes through angles and side proportions. The chapter focuses on triangles and their similarity criteria. It also includes real-world problems related to scale drawings. Visual understanding and geometric reasoning are strengthened here.
✅ Unit 10 – Graphs of Functions
This unit explains how to draw and interpret graphs of algebraic functions. Students work with linear and simple quadratic functions. Graphs help understand the behavior of equations. It supports topics like coordinate geometry and data analysis.
✅ Unit 11 – Loci and Construction
Students study geometric locations (loci) of points satisfying certain conditions. Basic geometric constructions using compass and scale are practiced. The chapter improves visualization and precision. It links geometry with practical drawing skills.
✅ Unit 12 – Information Handling
This chapter introduces data collection, organization, and representation through charts and tables. Students calculate mean, median, and mode for given data. It’s a real-life application of math in fields like statistics and business. Information handling builds data analysis confidence.
✅ Unit 13 – Probability
Probability teaches students to calculate chances of events happening. Topics include outcomes, events, and probability scale from 0 to 1. It lays the groundwork for understanding uncertainty in real-life situations. Practice includes games, experiments, and daily-life examples.
📌 Notes Helpful For All Punjab Boards:
- Lahore Board
- Rawalpindi Board
- Gujranwala Board
- Faisalabad Board
- Sahiwal Board
- DG Khan Board
- Bahawalpur Board
- Sargodha Board
- Multan Board
No matter your board, these 9th Math New Book Notes are exactly what you need for success.
🎯 Why Choose LastHopeStudy.com?
- 📖 Prepared by Experienced Teachers
- 📚 Based on PTB’s Math New Syllabus 2025–26
- ✍️ Covers Class Tests, Board Exams & Monthly Assessments
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📥 Ready to start learning? Browse and download chapter-wise Class 9 Math Notes – New Syllabus 2025–26 now from LastHopeStudy.com and take your preparation to the next level!

Please upload all subject notes of
9.😊😊😊
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