Maths Notes

Covers arithmetic, algebra, geometry, and data interpretation, emphasizing problem-solving skills required for quantitative aptitude sections.

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Algebra

Introduction to Algebra

Variables and Constants

Algebraic Expressions

Simplification of Algebraic Expressions

Factorization

Linear Equations in One Variable

Linear Equations in Two Variables

Solving Equations by Cross Multiplication

Translation of Verbal Problems into Equations

Understanding Inequalities

Graphical Solutions of Equations

Quadratic Equations

Identities

Exponents Laws

Square Roots and Cube Roots

Basic Polynomials

Substitution Method

Word Problems in Algebra

Understanding Functions

Introduction to Graphs of Functions

Arithmetic

Whole Numbers

Integers

Fractions

Decimals

Ratio and Proportion

Percentage

Profit and Loss

Simple Interest

Compound Interest

Average

Divisibility Rules

Properties of Operations

Order of Operations (BODMAS)

Comparative and Ordering of Numbers

Prime Factorization

LCM and HCF

Number System: Real Numbers

Exponents and Powers

Scientific Notation

Word Problems in Arithmetic

Coordinate Geometry

Distance Formula

Slope and Intercept in Coordinate Geometry

Equation of a Line (Coordinate Geometry)

Graphing Linear Equations on the Coordinate Plane

Geometry

Basic Geometrical Figures

Lines and Angles

Parallel and Perpendicular Lines

Triangles: Types and Properties

Quadrilaterals: Properties and Classification

Circles: Basic Properties

Constructions: Bisectors and Perpendiculars

Pythagoras Theorem

Similarity of Triangles

Congruence of Triangles

Cartesian Coordinates and Plotting Points

Distance Formula

Midpoint Formula

Slope of a Line

Equation of a Line

Angle Sum Property of Polygons

Exterior Angles of Polygons

Properties of Parallelograms

Properties of Triangles

Construction of Tangents to a Circle

Mensuration

Perimeter and Area of Plane Figures

Area of Triangle using Heron’s Formula

Surface Area and Volume of Cuboids

Surface Area and Volume of Cylinders

Surface Area and Volume of Cones

Surface Area and Volume of Spheres

Perimeter of Composite Shapes

Conversion of Units in Mensuration

Scale Drawings and Maps

Mensuration in Real Life Problems

Area of Parallelograms

Area of Trapezium

Circumference of a Circle

Area of a Circle

Application of Mensuration in Problem Solving

Statistics and Probability

Data Handling: Collection and Organization

Mean, Median, Mode

Range and Interquartile Range

Graphical Representation: Bar Graphs and Histograms

Frequency Distribution

Cumulative Frequency Graphs

Basic Probability Concepts

Simple Experiments and Outcomes in Probability

Venn Diagrams and Set Theory

Data Interpretation

Trigonometry

Introduction to Trigonometry

Sine, Cosine, Tangent Ratios

Basic Trigonometric Identities

Trigonometric Ratios in Right Triangles

Height and Distance Problems using Trigonometry

Complementary and Supplementary Angles

Introduction to Angles: Degrees and Radians

Use of Trigonometry in Real Life

Applications of Pythagoras Theorem in Trigonometry

Word Problems in Trigonometry