9th grade math lessons are planned and introduce in different activities. 9th grade math help is provided for the 9th grade students in all segments to cover all the math lesson plans which are categorized into Arithmetic, Algebra, Geometry and Mensuration.

All types of solved examples on different topics are explained along with the step-by-step solutions. 9th grade math practice sheets are arranged in such a way that students can learn math while practicing math problems.

Keeping in mind the mental level of student in ninth grade, every efforts has been made to introduce new concepts in a simple and easy language, so that the students can understand the problems easily.

The difficulty level of the 9th grade math problems has emphasized the theoretical as well as the numerical aspects of the mathematics course. Each topic contains a large number of examples to understand the applications of concepts.

To get prepared for 9th grade math test or exams students need to learn graphing lines on the coordinate plane, solving literal equations, compound inequalities, graphing inequalities in two variables, multiplying binomials, polynomials, factoring techniques for trinomials, solving systems of equations, algebra word problems, variation, rational expressions, rational equations, graphs & functions, circles, construction, triangle theorems & proofs, properties of polygons, transformations, trigonometry and etc……

If student follow math-only-math they can improve their knowledge by practicing the worksheets for 9th graders which will help them to score in their exam.

**Decimal Representation of Rational Numbers**

**Rational Numbers in Terminating and Non-Terminating Decimals**

**Recurring Decimals as Rational Numbers**

**Laws of Algebra for Rational Numbers**

**Comparison between Two Rational Numbers**

**Rational Numbers Between Two Unequal Rational Numbers**

**Representation of Rational Numbers on Number Line**

**Problems on Rational numbers as Decimal Numbers**

**Problems Based On Recurring Decimals as Rational Numbers**

**Problems on Comparison Between Rational Numbers**

**Problems on Representation of Rational Numbers on Number Line**

**Worksheet on Rational Number as Decimal Numbers**

**Worksheet on Recurring Decimals as Rational Numbers**

**Worksheet on Comparison between Rational Numbers**

**Worksheet on Representation of Rational Numbers on the Number Line**

**Definition of Irrational Numbers**

**Decimal Representation of Irrational Number**

**Representation of Irrational Numbers on The Number Line**

**Comparison between Two Irrational Numbers**

**Comparison between Rational and Irrational Numbers**

**Real number between Two Unequal Real Numbers**

**Problems on Irrational Numbers**

**Problems on Rationalizing the Denominator**

**Worksheet on Irrational Numbers**

**Cost Price, Selling Price and Rates of Profit and Loss**

**Problems on Cost Price, Selling Price and Rates of Profit and Loss**

**Understanding Overheads Expenses**

**Worksheet on Cost Price, Selling Price and Rates of Profit and Loss**

**Understanding Discount and Mark Up**

**Worksheet on Discount and Markup**

**Worksheet on the application of overhead Expenses**

**Worksheet on Successive Discounts**

**Introduction to Compound Interest**

**Compound Interest as Repeated Simple Interest**

**Formulae for Compound Interest**

**Comparison between Simple Interest and Compound Interest**

**Worksheet on Compound Interest as Repeated Simple Interest**

**Worksheet on Use of Formula for Compound Interest**

**Expansion of Powers of Binomials and Trinomials**

**Express a^2 + b^2 + c^2 – ab – bc – ca as Sum of Squares**

**Simplification of (a + b)(a – b)**

**Application Problems on Expansion of Powers of Binomials and Trinomials**

**Worksheet on Expansion of (a ± b)^2 and its Corollaries**

**Worksheet on Expanding of (a ± b ± c)^2 and its Corollaries**

**Worksheet on Expansion of (x ± a)(x ± b)**

**Worksheet on Completing Square**

**Worksheet on Simplification of (a + b)(a – b)**

**Worksheet on Application Problems on Expansion of Powers of Binomials and Trinomials**

**Simplification of (a ± b)(a^2 ∓ ab + b^2)**

**Simplification of (a + b + c)(a^2 + b^2 + c^2 – ab – bc – ca)**

**Expansion of (x + a)(x + b)(x + c)**

**Problems on Expanding of (a ± b)^3 and its Corollaries**

**Factorization**

**Problems on Factorization by Grouping of Terms**

**Problems on Factorization of Expressions of the Form a^2 – b^2**

**Problems on Factorization Using a^2 – b^2 = (a + b)(a – b)**

**Factorization of a Perfect-square Trinomial**

**Factorization of Expressions of the Form x^2 + (a + b)x + ab**

**Factorization of Expressions of the Form ax^2 + bx + c, a ≠ 1**

**Problems on Factorization of Expressions of the Form x^2 +(a + b)x +ab**

**Worksheet on Factorization of the Trinomial ax^2 + bx + c**

**Factorization of Expressions of the Form a^3 + b^3**

**Factorization of Expressions of the Form a^3 - b^3**

**Factorization of expressions of the Form a^3 + b^3 + c^3 – 3abc**

**Factorization of Expressions of the Form a^3 + b^3 + c^3, a + b + c = 0**

**Miscellaneous Problems on Factorization**

**Linear Equations**

**Linear Equation in One Variable**

**Solution of a Linear Equation in One Variable**

**Method of Solving a Linear Equation in One Variable**

**Problems on Application of Linear Equations**

**Different Types of Problems in Linear Equation in One Variable**

**Worksheet on Linear Equation in One Variable**

**Worksheet on Forming of Linear Equations in One Variable**

**Worksheet on Solving a Word Problem by using Linear Equation in One Unknown**

**Changing the Subject of a Formula **

**Evaluation of Subject by Substitution**

**Problem on Change the Subject of a Formula**

**Worksheet on Framing a Formula**

**Worksheet on Change of Subject**

**Simultaneous Linear equations**

**Solution of a Linear Equation in Two Variables**

**Method of Cross Multiplication**

**Quadratic Equation**

**Introduction to Quadratic Equation**

**Formation of Quadratic Equation in One Variable**

**General Properties of Quadratic Equation**

**Methods of Solving Quadratic Equations**

**Examine the Roots of a Quadratic Equation**

**Problems on Quadratic Equations**

**Quadratic Equations by Factoring**

**Word Problems Using Quadratic Formula**

**Examples on Quadratic Equations **

**Worksheet on Formation of Quadratic Equation in One Variable **

**Worksheet on Quadratic Formula**

**Worksheet on Nature of the Roots of a Quadratic Equation**

**Worksheet on Word Problems on Quadratic Equations by Factoring**

**Classification of Triangles on the Basis of Their Sides and Angles**

**Medians and Altitudes of a Triangle**

**Geometrical Property of Altitudes**

**Properties of Angles of a Triangle**

**Problems on Congruency of Triangles**

**Any point on the bisector of an angle**** is equidistant from the arms of that angle**

**An Altitude of an Equilateral Triangle is also a Median**

**Bisectors of the Angles of a Triangle Meet at a Point**

**Application of Congruency of Triangles**

**Angles Opposite to Equal Sides of an Isosceles Triangle are Equal**

**Equal Sides of an Isosceles Triangle are Produced, **the Exterior Angles angles are equal.

**The Three Angles of an Equilateral Triangle are Equal.**

**Sides Opposite to the Equal Angles of a Triangle are Equal**

**Three Angles of an Equilateral Triangle are Equal**

**Problems on Properties of Isosceles Triangles**

**Problem on Two Isosceles Triangles on the Same Base**

**Lines Joining the Extremities of the Base of an Isosceles Triangle**

**Points on the Base of an Isosceles Triangle**

**Inequalities in Triangles**

**Greater Side has the Greater Angle Opposite to It**

**Greater Angle has the Greater Side Opposite to It**

**The Sum of any Two Sides of a Triangle is Greater than the Third Side**

**Perpendicular is the Shortest Theorem**

**Comparison of Sides and Angles in a Triangle**

**Problem on Inequalities in Triangle**

**Sum Of Any Two Sides Is Greater Than Twice The Median**

**Sum of the Four Sides of a Quadrilateral Exceeds the Sum of the Diagonals**

**Four Triangles which are Congruent to One Another**

**Straight Line Drawn from the Vertex of a Triangle to the Base**

**Midsegment Theorem on Trapezium**

**Midpoint Theorem on Right-angled Triangle**

**Collinear Points Proved by Midpoint Theorem**

**Problems on Equal Intercepts Theorem**

**Midpoint Theorem by using the Equal Intercepts Theorem **

**Proof By the Equal Intercepts Theorem**

**Properties of size Transformation**

**Criteria of Similarity between Triangles**

**Converse of Basic Proportionality Theorem**

**Application of Basic Proportionality Theorem**

**Greater segment of the Hypotenuse is Equal to the Smaller Side of the Triangle**

**AA Criterion of Similarly on Quadrilateral**

**Converse of Pythagoras’ Theorem**

**Riders Based on Pythagoras’ Theorem**

**Sum of the Interior Angles of an n-sided Polygon**

**Sum of the Exterior Angles of an n-sided Polygon**

**Opposite Sides of a Parallelogram are Equal**

**Opposite Angles of a Parallelogram are Equal**

**Diagonals of a Parallelogram Bisect each Other**

**A Quadrilateral is a Parallelogram if its Diagonals Bisect each Other**

**Pair of Opposite Sides of a Parallelogram are Equal and Parallel**

**A Rhombus is a Parallelogram whose Diagonals Meet at Right Angles**

**A Parallelogram whose Diagonals Intersect at Right Angles is a Rhombus**

**In a Rectangle the Diagonals are of Equal Lengths**

**A Parallelogram, whose Diagonals are of Equal Length, is a Rectangle**

**Diagonals of a Square are Equal in Length & they Meet at Right Angles**

**Diagonals of a Parallelogram are Equal & Intersect at Right Angles**

**Conditions for Classification of Quadrilaterals and Parallelograms**

**Bisectors of the Angles of a Parallelogram form a Rectangle**

**Base and Height (Altitude) in a Triangle and a Parallelogram**

**Every Diagonal of a Parallelogram Divides it into Two Triangles of Equal Area**

**Parallelogram on the Same Base and Between the Same Parallel Lines are Equal in Area**

**Area of a Parallelogram is Equal to that of a Rectangle Between the Same Parallel Lines**

**Area of a Triangle is Half that of a Parallelogram on the Same Base and between the Same Parallels**

**Triangles on the Same Base and between the Same Parallels are Equal in Area**

**Triangles with Equal Areas on the Same Base have Equal Corresponding Altitudes**

**Problems on Finding Area of Triangle and Parallelogram**

**The Area of a Rhombus is Equal to Half the Product of its Diagonals**

**Statistics and Statistical Data**

**Frequency of the Statistical Data**

**Word Problems on Arithmetic Mean**

**Problems on Mean of Ungrouped Data**

**Properties Questions on Arithmetic Mean**

**Problems on Median of Ungrouped Data**

**Worksheet on Mean of Ungrouped Data**

**Worksheet on Median of Ungrouped Data**

**Constructing Frequency Distribution Tables**

**Nonoverlapping Class Intervals into Overlapping Class Intervals**

**Plane Figures**

**Perimeter and Area of Plane Figures**

**Perimeter and Area of a Rectangle**

**Geometrical Properties of a Square**

**Perimeter and Area of a Triangle**

**Perimeter and Area of Mixed Figures**

**Perimeter and Area of Parallelogram**

**Perimeter and Area of Irregular Figures**

**Perimeter and Area of Regular Hexagon**

**Area and Circumference of a Circle**

**Area and Perimeter of a Semicircle**

**Area and Perimeter of Combined Figures**

**Solid Figures**

**Cube and Cuboid**

**Volume and Surface Area of Cuboid**

**Volume and Surface Area of Cube**

**Volume and Surface Area of Cube and Cuboid**

**Lateral Surface Area of a Cuboid**

**Cylinder**

**Problems on Right Circular Cylinder**

**Probability**

**Probability of Tossing Two Coins**

**Probability of Tossing Three Coins**

**Probability for Rolling Two Dice**

**Probability for Rolling Three Dice**

Trigonometry: Beginning of trigonometry and invention of trigonometry and how and why trigonometry is important.

Measurement of Trigonometric Angles: In trigonometry learn about the measurement of angles.

Different systems of measurement of angles and their units.

Sexagesimal System: Concept on understanding Sexagesimal System, problems on Sexagesimal System.

Circular System: Concept on understanding Circular System, problems on Circular System.

Radian is a Constant Angle: Proof that radian is a constant angle.

Relation between Sexagesimal and Circular: Learn about the relation between the units of the two systems.

Conversion from Sexagesimal to Circular System: Learn how to convert or express Sexagesimal to Circular System.

Conversion from Circular to Sexagesimal System: Learn how to convert or express Circular to Sexagesimal Systemm.

**Independent Variables and Dependent Variables**

**Rectangular Cartesian Coordinates of a Point**

**Quadrants and Convention for Signs of Coordinates**

**Plotting a Point in Cartesian Plane**

**Graph of Standard Linear Relations Between x, y**

**Slope of the Graph of y = mx + c**

**y-intercept of the Graph of y = mx + c**

**Drawing Graph of y = mx + c Using Slope and y-intercept**

**Problems on Plotting Points in the x-y Plane**

**Problems on Slope and Y-intercept**

**Worksheet on Plotting Points in the Coordinate Plane**

**Worksheet on Graph of Linear Relations in x, y**

**Worksheet on Slope and Y-intercept**

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