Most of the toughest subjects for class 9 students is Mathematics due to its theories, Formulas, and algebra portion. But if students understand the basic terms of Math then it’s an easier subject than others. So it depends upon the understanding level. Most of the students give more time to mathematics but their results are also not good. It is because of low-quality materials that the student downloads from online sources. Students must verify the material like notes before downloading.
Our website ilmgah.pk is also providing Notes for Class 9 students that are prepared by mathematics expert professors from higher colleges in Pakistan. These notes cover all the 9th class maths topics with exercise solutions according to the latest syllabus. Students can download Class 9 Maths Notes in PDF by clicking the links in the table.
| Class 9 Maths Notes |
| Unit 1 – Matrices and Determinants |
| Unit 2 – Real and Complex Numbers |
| Unit 3 – Logarithms |
| Unit 4 – Algebraic Expressions and Algebraic Formulas |
| Unit 5 – Factorization |
| Unit 6 – Algebraic Manipulations |
| Unit 7 – Linear Equations and Inequalities |
| Unit 8 – Linear Graphs and Their Applications |
| Unit 9 – Introduction To Coordinate Geometry |
| Unit 10 – Congruent Triangles |
| Unit 11 – Parallelograms and Triangles |
| Unit 12 – Line Bisectors and Angle Bisectors |
| Unit 13 – Sides and Angles of Triangles |
| Unit 14 – Ratio and Proportions |
| Unit 15 – Pythagoras Theorem |
| Unit 16 – Theorems Related With Area |
| Unit 17 – Practical Geometry (Triangles) |
Class 9 Maths Weightage
| Units | Unit Name | Marks |
| I | Number Systems | 10 |
| II | Algebra | 20 |
| III | Coordinate Geometry | 04 |
| IV | Geometry | 27 |
| V | Mensuration | 13 |
| VI | Statistics & Probabilty | 01 |
| Total | 80 |
Chapter Wise Detail Notes For Class 9 Maths
The class 9 Mathematics syllabus is vast and is divided into 17 units. Each unit also has subunits. But in a short period of time, you should focus on those units that have high weightage marks in the board exam.
Unit 1 – Metrics and Determinants
In this chapter, you can understand the Metrics and their types. Metrics not only help in Addition, Subtraction, and Multiplication but also help to solve simultaneous linear equations. After doing this unit you can also verify associative laws under multiplication. Unit 1 contains the following topics:
- Introduction to Matrices
- Types of Matrices
- Addition and Subtraction of Matrices
- Multiplication of Matrices
- Multiplicative Inverse of a Matrix
- Solution of Simultaneous Linear Equations
Unit 2 – Real and Complex Numbers
In Chapter 2 Students can recall the set of real numbers as a union of sets of rational and irrational numbers, demonstrate a number with terminating and non-terminating recurring decimals on the number line, explain the concept of radicals and radicands, differentiate between radical form and exponential form of an expression. transform an expression given in tadicarrorm to an exponential form and vice versa.
- Real Numbers
- Properties of Real Numbers
- Radicals and Radicands Laws of Exponents / Indices
- Complex Numbers
- Basic Operations on Complex Numbers
Unit 3 – Logarithms
- Scientific Notation
- Logarithm
- Common and Natural Logarithm
- Laws of Logarithm
- Application of Logarithm
Unit 4 – Algebraic Expressions and Formulas
In Chapter 4 We learn Rationalization ( the process used to eliminate radical or imaginary from algebraic Fractions), students also learn all Algebraic formulas through our video lectures.
- Algebraic Expressions
- Algebraic Formulae
- Surds and their Application
- Rationalization
Unit 5 – Factorization
- Factorization
- Remainder Theorem and Factor Theorem
- Factorization of a Cubic Polynomial
Unit 6 – Algebraic Manipulation
- Highest Common Factor and Least Coll)mon Multiple
- Basic Operations on Algebraic Fractions
- Square Root of Algebraic Expression
Unit 7 – Linear Equation and Inequalities
- Linear Equations
- Equations Involving Absolute Value
- Linear Inequalities
- Solving Linear Inequalities
Unit 8 – Linear Graphs and Their Applications
- Introduction
- Cartesian Plane
- Conversion Graphs
- Graphical Solution of Equations in two variables
Unit 9 – Geometry
- Introduction
- The Distance Formula
- Collinear Points
- Mid Point Formula
Unit 10 – Parallelograms and Triangles
In this unit before proving the theorems, we will explain what is meant by 1 – 1 correspondence (the symbol used for 1 – 1 correspondence is ~) and congruency of triangles. We shall also state S.A.S. postulate.
- Congruent Triangles
Unit 11 – Line Bisectors and Angle Bisectors
- Parallelograms and
- Triangles
Unit 12 – Line Bisectors and Angle Bisectors
- Bisector of a Line Segment
- Bisector of an Angle
Unit 13 – Sides and Angles of a Triangles
- Sides of a Triangle
- Angles of a Triangle
Unit 14 – Ratio and Proportions
This unit involves proving some theorems and corollaries relating ratios and proportions of triangle sides as well as similarity between triangles. There are many occupations which require knowledge of ratios and proportions, such as food service, medicine in health, preparing maps for land surveys and construction, profit-to-cost ratios, etc.
- Ratio and Proportion
Unit 15 – Pythagoras Theorems
- Pythagoras’ Theorem
Unit 16 – Theorems related with Area
During this unit, we will state and prove some important theorems about the area of parallelograms and triangles along with their corollaries. We will use them in solving appropriate problems and providing some useful results.
- Theorems related to the area
Unit 17 – Practical Geometry
In Unit 17 We learn To construct a triangle, having given two sides and the included angle, To construct a triangle, having given one side and two of the angles, and To construct a triangle having given two of its sides and the angle opposite to one of them.
- Construction of Triangles
- Figures with Equal Areas