9th Class Math Chapter-wise Exercise Solutions – Punjab Board

by Step Academy Official (Author)

Welcome to our 9th Class Math Chapter-wise Exercise Solutions section! Here you will find chapter-wise solved exercises based on the latest Punjab Textbook Board syllabus. These solutions are prepared to help you understand concepts clearly and score better in exams. Whether you’re revising or solving past paper questions, these notes will be your best companion.

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9th Class Math Chapter-wise Exercise Solutions

1. Real Numbers – This chapter explores different types of numbers, including natural, whole, integers, rational, and irrational numbers. It also covers important concepts such as prime factorization and the properties of real numbers used in problem-solving.

2. Logarithms – Students learn the definition and laws of logarithms, their relation to exponents, and how they are applied to simplify calculations and solve exponential equations.

3. Set and Functions – This chapter introduces set theory, types of sets, and operations on sets. It also explains functions, their domain and range, and different types of functions.

4. Factorization and Algebraic Manipulation – Focuses on breaking down algebraic expressions into factors, using different methods such as common factors, grouping, and special identities, along with simplification techniques.

5. Linear Equations and Inequalities – Students understand how to form, solve, and graph linear equations and inequalities in one and two variables, applying them to real-life problems.

6. Trigonometry – Introduces trigonometric ratios, identities, and formulas, with applications in solving right-angled triangles and practical measurement problems.

7. Coordinate Geometry – Explains plotting points on the coordinate plane, finding the distance between two points, midpoints, and equations of straight lines.

8. Logic – Covers the basics of mathematical logic, statements, truth tables, and logical reasoning, helping in problem analysis and proof construction.

9. Similar Figures – Discusses the concept of similarity, criteria for similar triangles, and the application of similarity in real-life geometry problems.

10. Graphs of Functions – Teaches how to represent different functions on a graph, interpret graphical information, and understand their applications.

11. Loci and Construction – Introduces the concept of locus in geometry, rules of construction, and practical drawing techniques using a compass and ruler.

12. Information Handling – Focuses on collecting, organizing, and representing data using tables, charts, and graphs, along with measures of central tendency.

13. Probability – Explains the basic principles of probability, experimental and theoretical approaches, and how to calculate the likelihood of events.

About Our Notes:

STEP Academy’s notes are carefully prepared according to the latest 2025 syllabus issued by the Punjab Textbook Board. Each chapter includes:

  • Fully solved exercises

  • Multiple-choice questions (MCQs)

  • Short and long questions

  • Numerical problems (where applicable)

  • Comprehensive Question

These notes are written in easy-to-understand language and are designed to help students prepare effectively for Board exams. All content is focused, well-organized, and suitable for school-based assessments and board exams.

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9th Class Math Chapter-wise Exercise Solutions-Books

Students can download free PDF versions for study and exam preparation.
🔗 Punjab Textbook Board Official Website

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