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
Exponents/Indices
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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