9th Class Math Notes

 

This page contains notes, solutions, definitions, multiple-choice questions (MCQs), and key questions for Mathematics 10 (Science Group) published by Ilmi Kitab Khana in Urdu Bazar, Lahore, Pakistan. We will update this page with new notes as we find them. If you would like to contribute by sending us notes, please reach out through our About Us page.

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Definitions

This page provides definitions from the book "Mathematics 10 (Science Group) (Matric).

v  Definitions by M. Bilal Arshad | Coming Soon…

v  MCQs of Full Book, Matric 9th (Science) | Coming Soon…

Unit 01: Quadratic Equations

 Unit Outlines

 In this unit students will learn how to

• Define quadratic equation.
• Solve a quadratic equation in one variable by factorization.
• Solve a quadratic equation in one variable by completing square.
• Derive quadratic formula by using method of completing square.
• Solve a quadratic equation by using quadratic formula.  

Solutions

These notes are prepared by Mr. M. Bilal Arshad.

v  Exercise 1.1 | View Online | Download PDF | Coming Soon…

v  Exercise 1.2 | View Online | Download PDF | Coming Soon…

v  Exercise 1.3 | View Online | Download PDF | Coming Soon…

v  Exercise 1.4 | View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

Unit 02: Theory of Quadratic Equations 

Unit Outlines

In this unit students will learn how to

• define discriminant $(b^2-4ac)$ of quadratic expression $a{x}^2+bx+c$.
• find discriminant of a given quadratic equation.
• discuss the nature of roots of a quadratic equation through discriminant and verify the results by solving the equation.
• determine the nature of the roots of a given quadratic equation and verify the result by solving the equation.

Solutions

v  Exercise 2.1 | View Online | Download PDF | Coming Soon…

v  Exercise 2.2 | View Online | Download PDF | Coming Soon…

v  Exercise 2.3 | View Online | Download PDF | Coming Soon…

v  Exercise 2.4 | View Online | Download PDF | Coming Soon…

v  Exercise 2.5 | View Online | Download PDF | Coming Soon…

v  Exercise 2.6 | View Online | Download PDF | Coming Soon…

v  Exercise 2.7 | View Online | Download PDF | Coming Soon…

v  Exercise 2.8 | View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

Unit 03: Variations

Unit Outlines

In this unit students will learn how to

• define ratio, proportions and variations (direct and inverse).
• find 3rd, 4th, mean and continued proportion.
• apply theorems of invertendo, alternendo, componendo, dividendo and compnendo and dividendo to find proportions
• define joint variation.
• solve problems related to joint variation.
• use k-method to prove conditional equalities involving proportions.
• solve real life problems based on variations.

Solutions

v  Exercise 3.1 |  View Online | Download PDF | Coming Soon…

v  Exercise 3.2 |  View Online | Download PDF | Coming Soon…

v  Exercise 3.3 |  View Online | Download PDF | Coming Soon…

v  Exercise 3.4 |  View Online | Download PDF | Coming Soon…

v  Exercise 3.5 |  View Online | Download PDF | Coming Soon…

v  Exercise 3.6 |  View Online | Download PDF | Coming Soon…

v  Exercise 3.7 |  View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

Unit 04: Partial Fractions

Unit Outlines

In this unit, students will learn how to

• define proper, improper, rational fraction.
• resolve an algebraic fraction into partial fractions, when its denominator consist of
  • non-repeated linear ffactor,
  • repeated linear factor,
  • non-repeated quadratic factors
  • repeated quadratic factors.

v  Exercise 4.1 | View Online | Download PDF | Coming Soon…

v  Exercise 4.2 | View Online | Download PDF | Coming Soon…

v  Exercise 4.3 | View Online | Download PDF | Coming Soon…

v  Exercise 4.4 | View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

Unit 05: Sets and Functions

Unit Outlines

v  Exercise 5.1 | View Online | Download PDF | Coming Soon…

v  Exercise 5.2 | View Online | Download PDF | Coming Soon…

v  Exercise 5.3 | View Online | Download PDF | Coming Soon…

v  Exercise 5.4 | View Online | Download PDF | Coming Soon…

v  Exercise 5.5 | View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

Unit 06: Basic Statistics

Unit Outlines

v  Exercise 6.1 | View Online | Download PDF | Coming Soon…

v  Exercise 6.2 | View Online | Download PDF | Coming Soon…

v  Exercise 6.3 | View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

There are total three exercises in unit 6. Notes of this chapter will be added soon.

Unit 07: Introduction to Trigonometry 

Unit Outlines

v  Exercise 7.1 | View Online | Download PDF | Coming Soon…

v  Exercise 7.2 | View Online | Download PDF | Coming Soon…

v  Exercise 7.3 | View Online | Download PDF | Coming Soon…

v  Exercise 7.4 | View Online | Download PDF | Coming Soon…

v  Exercise 7.5 | View Online | Download PDF | Coming Soon…

v  Definitions | Download PDF | Coming Soon…

v  MCQs | Download PDF | Coming Soon…

 

Unit 08: Projection of a Side of a Triangle

Unit Outlines

v     Exercise 8 | View Online | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

 

Unit 09: Chords of Circle

Unit Outlines

Important Theorems | Download PDF | Coming Soon…

Definitions | Download PDF | Coming Soon…

MCQs | Download PDF | Coming Soon…

Unit 10: Tangent to a Circle

            Definitions | Download PDF | Coming Soon…

MCQs | Download PDF |  Coming Soon…

Unit 11: Chords and Arcs

Unit Outlines

            Definitions | Download PDF | Coming Soon…

Review Exercise 11 | Download PDF |  Coming Soon…

Unit 12: Angle in a Segment of a Circle

Unit Outlines

          

Important Theorems | Download PDF | Coming Soon…

Unit 13: Practical Geometry-Circles

Unit Outlines

     v  Exercise 13.1 | View Online | Download PDF | Coming Soon…

v  Exercise 13.2 | View Online | Download PDF | Coming Soon…

v  Exercise 13.3 | View Online | Download PDF | Coming Soon…

            Definitions | Download PDF | Coming Soon…

MCQs | Download PDF |  Coming Soon…

                       

  

Important Questions

The MCQs of full book are send by M. Bilal Arshad | Coming Soon…

• MCQs of Full Book, Matric 9th (Science)