mathematics

This subject covers units such as trigonometry, geometry, algebra, arithmetic and, statistics and probability

Arithmetic covers chapters such as Computing, Banking, Number Systems, Significant Figures and, Shares and Dividends

Arithmetic

Algebra covers chapters such as Matrices, Quadratic Equation, Polynomials, Logarithms, Linear Equations in Two Variables, Sets and Relations and, Linear Inequations

Algebra

Geometry covers chapters such as Circles, Triangles, Quadrilaterals, Coordinate Geometry, Constructions, Heron’s Formula, Surface Areas and Volumes, Introduction to Euclid's Geometry and, Areas of Parallelograms and Triangles

Geometry

Statistics and Probability contains chapter Statistics

Statistics and Probability

THINK ABOVE AND BEYOND  MATHEMATICS PRACTICE BOOKS

IMO Olympiad Work Book 9

Mathematics Class 9

NCERT Exemplar Mathematics - Class 9

MATHEMATICS Textbook for Class IX

Equivalence Relations and Equivalence Classes

Empty and Universal Relations

Mean Deviation About Mean and Median for Ungrouped Data

Mean Deviation, Its Merits, and Demerits

Quartile Deviation

Area of Quadrilateral Using Heron's Formula

Area of a Triangle by Heron's Formula

Introduction to Non-euclidean Geometry

Euclid’s Fifth Postulate and the Equivalent

Relations

Mean Deviation of Ungrouped Data

Mean of Grouped Data: Example

Problem Based on Midpoint Theorem

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Base of Logarithm

Exponents & Logarithms

Examples on Logarithms

Working Rules for Logarithms

Special Types of Matrices

Absolute Error, Relative Error and Percentage Error

Types of Errors

Roots of Quadratic Equation: Illustration

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Concept of a Function

Significant Figures and Their Rules

Nature of the Roots: Illustration

Nature of the Roots: Illustration 1

Solution of Quadratic Equation: (a – b)^2 Type

Solution of Quadratic Equation: (a + b)^2 Type

Perfect Square Method to Solve Quadratic Equation

Factorisation Method: Example

Factorization Method

Factorisation Method

Illustration Based on the SAS Criterion

Exponents and Surds

Fractions to Decimals and Decimals to Fractions

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Laws of Exponents: Some Examples

Rule of Power of a Quotient

Rule of Power of a Product

Rule for Division of Powers

Numerator and Denominator of a Rational Number

Criteria for Congruence of Triangles

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Data Handling

Organising Data and Frequency of Data

Introduction to Integers

Integers : Introduction

Multiplication of a Matrix by a Scalar

Addition of Matrices

Illustration on Equality of Matrices

Definition of Equality of Matrices

Types of Matrices

Matrices

Equation of a Line in Point-slope & Two Point Form

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Formation of Linear Inequality: Example

Graph of Linear Inequation in Two Variables

Graphical Solutions for Linear Inequality

Rules for Drawing Graph of Inequality

Equation Reducible to Quadratic Equation

Discriminant and Nature of Roots

Solution of Quadratic Equation

Need of Complex Numbers

Ogive Curve for Finding Median

Relationship Between Mean, Median and Mode

Median of Grouped Data: Illustration

Short-cut Method to Find Mean of Grouped Data

Direct Method for Finding Mean

Cumulative Frequency Table by Less Than Method

Area of Combined Figures

Area of Minor and Major Segments

Problem on Area of Minor Segment

Problem on Area of Path Around a Circular Region

Areas of a Sector and a Segment of a Circle

Concept of Arc, Area and Perimeter of Sector

Problems on Annular Regions

Definition of Pi (π)

Problems on Circumference of a Circle

Similarity of Triangles

Concept of Similarity

Congruency and Similarity of Triangles

Similar Figures

Nature of the Roots of the Quadratic Equation

Quadratic Equation

Quadratic Polynomial

Cross Multiplication Method: Illustration

Solving Linear Equations by Cross Multiplication

Solving Linear Equations Using Elimination-Example

Solving Linear Equations Using Elimination Method

Solving Linear Equations Using Substitution Method

Recurring Decimals

Frequency Polygon and Frequency Distribution Table

This chapter covers topics such as Equations Reducible to Quadratic Form, Formation of a Quadratic Equation, Solution of a Quadratic Equation, Applications of Quadratic Equations, Maximum or Minimum Value of a Quadratic Expression, etc.

This chapter covers topics such as Introduction to Coordinate geometry, Special Points in a Triangle, Equation of Locus, Equation of a Straight Line in Various Forms, Distance between Two Points, Section Formula, Slope of a Line, etc.

Coordinate Geometry

This chapter covers topics such as Pythagoras Theorem, Criteria for Congruence of Triangles, Criteria for Similarity of Triangles, Areas of Similar Triangles, Properties of a Triangle, Similar Figures, Inequalities in a Triangle, etc.

Triangles

This chapter covers the topic of System of Inequations.

Linear Inequations

This chapter covers topics such as Euclid's Definitions and Axioms and Postulates.

Introduction to Euclid's Geometry

This chapter covers topics such as Computation of Shares and Dividends, and Terms Related to Shares and Dividends.

Shares and Dividends

This chapter covers topics such as Symmetric and Skew-symmetric Matrices, Algebra of Matrices, and Types of Matrices.

This chapter covers topics such as Figures on Same Base and between the Same Parallels, and Area of Plane Figures.

Areas of Parallelograms and Triangles

This chapter covers topics such as Constructions of Triangles, Basic Constructions and Constructions Related to Circles.

Constructions

This chapter covers topics such as Circles and its Related Terms, Angle Subtended by an Arc of a Circle, Areas Related to Circles, Circle through Three Points, Cyclic Quadrilaterals, and Intersection of Two Circles.

Circles

This chapter covers topics such as The Mid-point Theorem, Conditions for a Quadrilateral to be a Parallelogram, and Relation between Different Quadrilaterals.

Quadrilaterals

This chapter covers topics such as Laws of Logarithms, Basics of Logarithm, and Logarithmic Equations.

Logarithms

This chapter covers topics such as Graphical Representation of Cumulative Frequency Distribution, Graphical Representation of Data, Mean Deviation, Measures of Central Tendency, Collection of Data, Presentation of Data, and Quartiles.

Statistics

The chapter covers topics such as Equations Reducible to a Pair of Linear Equations in Two Variables, Solution of a Linear Equation, Equations of Lines Parallel to x-axis and y-axis, Graph of a Linear Equation in Two Variables, Linear Equations, etc.

Linear Equations in Two Variables

This chapter covers topics such as Absolute Error and Relative Error, Introduction to Significant Figures, and Algebraic Operations Based on Significant Figures.

Significant Figures

This chapter covers topics such as Types of Relations, Introduction to Functions, and Basics of Relations.

Sets and Relations

This chapter covers topics such as Algorithm and Flowchart, Operators and Basics of Computer.

Computing

This chapter covers topics such as Basic Terminology in Banking and Hire Purchase and Instalment Scheme.

Banking

This chapter covers topics such as Area of Triangle Using Base and Height, and Heron's Formula and its Applications.

Heron’s Formula

This chapter covers topics such as Operations on Real Numbers, Real Numbers and their Decimal Expansions, Exponents and Surds, Representing Real Numbers on the Number Line, Irrational Numbers, and Basic Number Systems.

Number Systems

The chapter covers topics such as Surface Area of a Right Circular Cone, Surface Area of a Sphere, Surface Area of Prisms and Surface Area of Pyramids etc.

Surface Areas and Volume

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