mathematics

This subject covers units such as geometry, algebra, data interpretation and, arithmetic

Arithmetic covers chapters such as Number Systems, Percentages, Averages, Simplification, Counting Principles, Progression and Series and, Ratio, Proportion and Variation

Arithmetic

Algebra covers chapters such as Algebraic Expression, Sets, Relations and Functions and, Exponentials and Logarithms

Algebra

Geometry covers chapters such as Trigonometry, Geometry and, Coordinate Geometry

Geometry

Data Interpretation covers chapters such as Measures of Central Tendency, Data Sufficiency, Graphical Representation of Data and, Organisation of Data

Data Interpretation

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Finding N Arithmetic Means Between Two Numbers

Concept of a Function

Difference of Sets

Venn Diagrams

Equivalent Sets

Empty Set

Notations for a Set

Tangents From an Exterior Point: Illustration

Tangent at a Point on Circle: Theorem

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Nature of the Roots: Illustration

Nature of the Roots: Illustration 1

Factorisation Method: Example

Factorization Method

Factorisation Method

Division of a Trinomial by a Trinomial

Average Speed as a Tool of Comparison

Parallel & Transversal Lines: Illustration

Factorisation of Perfect Square Trinomial

Factorisation of Polynomials: Illustration 1

Factor Theorem: Illustration

Zeros of a Polynomial

Surface Area and Volume of Right Triangular Prism

Surface Area and Volume of Right Triangular Pyramid

Equations Reducible to the Linear Form

Solution of Linear Equation Illustration 4

Solution of Linear Equation:Illustration 2

Introduction to Graphs

Zero & Negative Integral Indices

Monomials, Binomials and Trinomials

Triangle Inequality Theorem

Triangle Angle Sum Theorem: Illustration

What Are Alternate Interior Angles?

Understanding Linear Pair of Angles

Illustration on Solving the Equation

Solving a Linear Equation in One Variable

Product of Two or Three Fractions

Practical Application of Equation and Its Solution

Interpretation of a Bar Graph

Introduction to a Bar Graph

Basics of Bar Graph

Introduction to Data Handling

Organising Data and Frequency of Data

Introduction to Polygons

HCF and LCM

Test for Divisibility by 3

Illustration on Conditional Probability

IlLustration on Probability of Events

Mutually Exclusive Events

Types of Events

Sample Space

Illustrations on the Standard Equation of Ellipse

Equation of a Circle and Position of a Point

Centroid - Meaning

Area of a Triangle (Coordinate Geometry)

Section Formula

Derivation of Distance Formula 2D

Introduction to Geometric Mean

Sum of n Terms of a GP When nᵗʰ Term is Given

Sum of First n Terms of a G.P.

Geometric Progression

Finding the nth Term of A.P. With Given Two Terms

Arithmetic Progression: Illustrations

Arithmetic Progression

Finding nth Term When Sum of n Terms Is Given!

Definition of Series, Sum & nᵗʰ Term

Introduction to Factorial Notation

Discriminant and Nature of Roots

Trigonometric Equation to Convert Cosine or Sine

General Solution of Equation Involving Tangent

General Solution of Equation Involving Sine

Problems on Sub-multiple Angles

How to Write Cos 2A in Terms of Sin A or Cos A?

How to Describe the Formula of sin3A, cos3A and tan3A

Introduction to Multiple and Sub-multiple Angles

Identities for Sum or Difference to Product of Trigonometric Ratios

Trigonometric Ratios: Sum and Difference of Angles

Formulae for Allied Angles

Inequality Based on Range

Prove a Trigonometric Result Under Given Condition

Methods of Describing a Set

Introduction to Sets

Theorems of Probability

Probability of Equally Likely Events

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

Conversion of Cumulative into Ordinary Frequency

Cumulative Frequency Table by Less Than Method

Volume of Combination of Cylinder, Cone and Hemisphere

Volume of Ice Cream Cone

Volume of Combination of a Cylinder and Hemisphere

Volume of Combination of Hemisphere & Cone

Surface Area of Combination of Cone and Hemisphere

Surface Area of Combination of Cylinder and Cone

Surface Area of a Combination of Cylinder & Sphere

This chapter covers topics, such as, Heights And Distances, Trigonometric Ratios, Trigonometric Identities, Trigonometric Functions & Trigonometric Equations etc.

Trigonometry

This chapter covers topics, such as, Triangles, Geometrical Shapes, Circle, Mensuration, Solid Figures in Geometry, Ellipse, Rectangle, Square, Rhombus, Trapezium, Polygon, Regular Hexagon, Quadrilaterals, Parallelogram & Star etc.

This chapter covers topics, such as, Coordinate System in 2D & Straight Lines etc.

Coordinate Geometry

This chapter covers topics, such as, Cumulative Frequency, Frequency Chart, Tabulations and Tables, Data Handling, Caselets & Statistics etc.

Organisation of Data

This chapter covers topics, such as, Median, Mode, Measures of Central Tendency, Mean, Standard Deviation, Mean Deviation & Variance etc.

Measures of Central Tendency

This chapter covers topics, such as, Bar Graph Representation of Data, Pie Chart Representation of Data, Line Graph Representation of Data, Histogram of Grouped Data, Mixed Graphs & Radar or Web Graphs etc.

Graphical Representation of Data

This chapter covers topics, such as, Data Sufficiency etc.

Data Sufficiency

This chapter covers topics, such as, Modulus, Basics of Simplification, Speed Calculations & BODMAS etc.

Simplification

This chapter covers topics, such as, Time, Speed and Distance, Ratio, Proportion and Variation, Age Calculations, Chain Rule, Partnerships in Business, Pipes and Cistern, Problems on Trains, Time and Work & Boats and Streams etc.

Ratio, Proportion and Variation

This chapter covers topics, such as, Arithmetic Progression, Geometric Progression, Progression and Series, Other Progressions and Series, A.M. and G.M. & Harmonic Progression etc.

Progression and Series

This chapter covers topics, such as, Percentage, Simple and Compound Interest, Profit and Loss, Discount & Increase and Decrease as Per Cent etc.

Percentages

This chapter covers topics, such as, Basics of Number Systems, HCF and LCM, Fractions and Decimals, Cube and Cube Roots & Squares and Square Roots etc.

Number Systems

This chapter covers topics, such as, Probability & Permutations and Combinations etc.

Counting Principles

This chapter covers topics, such as, Averages & Mixture and Alligation etc.

Averages

This chapter covers topics, such as, Sets and Relations & Functions etc.

Sets, Relations and Functions

This chapter covers topics, such as, Exponents, Surds and Indices & Logarithm etc.

Exponentials and Logarithms

This chapter covers topics, such as, Polynomials, Linear Equations, Quadratic Equation, Algebraic Identities & Algebraic Expressions etc.

Algebraic Expression

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