mathematics

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

Arithmetic covers chapters such as Ratio and Proportion, Real Numbers, Squares and Square Roots, Simple and Compound Interest, Cubes and Cube Roots, Playing with Numbers, Percentage and its Applications and, Exponents (Powers)

Arithmetic

Algebra covers chapters such as Sets, Quadratic Equations, Relations and Functions, Formulae, Equations and Inequations and, Algebraic Expressions and Factorisation

Algebra

Geometry covers chapters such as Triangles, Parallelograms, Constructions, Lines and Angles, Circumference and Area of Circle, Perimeter and Area of Plane Figures, Volume and Surface Area of Solids and, Understanding Shapes

Geometry

Statistics and Probability covers chapters such as Probability, Graphs and, Data Handling

Statistics and Probability

Maths Hub (ICSE)

ICSE NUMBERS WIZ

Concise Mathematics Middle School Class 8

ICSE Skills In Mathematics

ICSE Understanding Mathematics Class 8

Concept of Reflection in Geometry

Calculation of Compounded Amount

Calculating GST, VAT and Sales Taxes

Calculation of Taxes for Purchased Goods

Construction of Rhombus With Special Properties

Area of Polygon by Triangulation

Area of Regular and Irregular Polygons

Nets for Building 3D Shapes

Visualising and Drawing Solids

Oblique and Isometric Sketches of Solids

Isometric Sketch of Solids

Rational Numbers Between Two Rational Numbers

Relations

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Concept of a Function

Venn Diagrams

Perfect Square Method to Solve Quadratic Equation

Factorisation Method: Example

Factorization Method

Factorisation Method

Expansion of (a + b)^3

Expansion of (a + b + c)²

Representation of Decimal Numbers on Number Line

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Solution of Linear Equation Illustration 4

Solution of Linear Equation:Illustration 2

Zero & Negative Integral Indices

Laws of Exponents: Some Examples

Rule of Power of a Quotient

Rule of Power of a Product

Rule for Division of Powers

Index of a Number

Exponents and Powers

Problems on Perimeter and Circumference

Opposite & Inverse of a Rational Number

Representing Rational Numbers on a Number Line

Introduction to Rational Numbers

Difference Between Simple and Compound Interest

Simple and Compound Interest

Profit Percentage: Illustration

Criteria for Congruence of Triangles

Triangle Inequality Theorem

Special Segments Associated With a Triangle

Medians of a Triangle

Word Problem on Age

Linear Equation Word Problem

Solving a Linear Equation in One Variable

Drawing a Circle

Concept of Symmetry and Reflection

Multiple Lines of Symmetry

Symmetry in Real Life

Proportion

Practical Application of Equation and Its Solution

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Data Handling

Organising Data and Frequency of Data

Basics of Data

Introduction to Triangle

Introduction to Polygons

Test for Divisibility by 9

Test for Divisibility by 4 and 8

Test for Divisibility by 6

Test for Divisibility by 3

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Graph of Linear Inequation in Two Variables

Real Life Example of System of Inequalities

Solution Set of System of Inequality: Example

Solution Set of System of Inequality: Example 1

Graphical Solution of y > 0

Graphical Solution of x > 0

Graphical Solutions of Linear Inequality

Solution of Inequality

Concept of Linear Inequality

Types of Inequalities and Their Properties

Properties of inequalities

Random Experiment & Theoretical Probability

Introduction to Probability

Direct Method for Finding Mean

Definition of Pi (π)

Quadratic Equation

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

Graphical Method of Solution of Linear Equations

System of Three Linear Equations in Two Variables

Solution of Two Simultaneous Linear Equations

Relation of Two Polynomials With Their HCF and LCM

HCF of Polynomials

Mode of Data

Median of Ungrouped Data

Problem on Finding Corrected Mean

Illustration of Mean of Ungrouped Data

Arithmetic Mean of the Data

In this chapter, we will learn about probability. We will understand the concept of mutually exclusive events. It discusses probability in the deck of cards. Further, it tells us about the other uses and applications of probability.

Probability

This chapter&nbsp;discusses the basics of&nbsp;data handling.&nbsp;It contains topics like chance and probability, circle graph or pie chart, organising data, grouping data and histogram, and bar graphs.

Data Handling

This chapter discusses the basics of graphs. It contains topics like basic graphical representations, application of graphs, and linear graphs.

Graphs

This chapter describes the basic concept of algebra which contain many sub concepts. It also explains how to handle various problems related to algebraic expression and its corresponding applications.

Algebraic Expressions and Factorisation

In this chapter, we will come across the description of triangles. It highlights various properties of triangles. We will study different types of triangles with the help of figures here. It also covers the construction of triangles.

Triangles

This chapter defines point, line, plane, line segment, ray, concurrent lines and collinear points. We will learn about angles and types of angles. It also explains how to find the measure of unknown angle with the aid of examples.

Lines and Angles

In this chapter, we will go through the formulae used to solve a numerical. It explains the subject of a formula with the examples. We will also learn about the substitution in a formula for understanding the execution of formulas.

Formulae

In this chapter, we will learn how to find the volume and surface area of cubes and cuboids. It teaches us how to find the area of four walls of a room. It also comprises exercises based on finding the volume and surface area of cubes and cuboids.

Volume and Surface Area of Solids

In this chapter, we will learn about perimeter and area. It explains the method of finding the perimeter and area of triangles and quadrilaterals. It also briefs on the circle, its circumference, and area of its sector.

Perimeter and Area of Plane Figures

In this chapter, we will learn about the concepts related to the circumference and area of a circle in detail. It explains how to find the wheel movement or motion along a circular track. It also briefs us on the annulus, along with some examples.

Circumference and Area of Circle

This chapter covers topics like introduction to symmetry, lines of symmetry, point symmetry, and rotational symmetry.

Idea of Symmetrical Shapes and Reflection Symmetry

This chapter details the methods to construct the isosceles, scalar and equilateral triangles in a stepwise manner. Here, we will learn to draw the triangle enclosed in a circle according to the given questions.

Constructions

This chapter covers topics like solid shapes, faces, edges and vertices, nets for building 3D shapes, and drawing solids in flat surface (2D drawing of a 3D).

Representing 3-D Shapes in 2-D

This chapter covers topics like parallelograms, properties of parallelograms, and theorems on parallelograms.

Parallelograms

This chapter covers topics like polygons, classification of polygons, properties of a polygon, and properties of quadrilaterals.

Understanding Shapes

This chapter deals with the concept of quadratic equations. We will learn about zero product rule and steps for solving the equations. It also explains how to solve word problems based on quadratic equations.

Quadratic Equations

This chapter explains the basic concepts of linear equations in one variable. It describes different terms related to the equation.

Equations and Inequations

This chapter briefs on the concept of ratio and proportion. It explains some important points related to ratios. We will learn how to express ratios in simplest form and how to find the mean proportional between two numbers.

Ratio and Proportion

This chapter discusses the principles of simple and compound interest. It discusses their formulae, derivations, and the method of evaluating the sample problems given here.

In this chapter, we will learn to convert fractions and decimals into percentage and vice-versa. It explains how to solve problems based on profit and loss, discount and simple interest with the aid of examples.

Percentage and its Applications

This chapter defines the terms relations and functions. It discusses various methods for representing relations. We will learn how to find the domain and range of a relation with the aid of examples.

Relations and Functions

This chapter highlights the notion of sets. It explores the notation and description method. It sheds light on the tabulation form and set builder form. A brief note on various types of sets is also described here.

Sets

In this chapter, we will understand the representation of 2-digit and 3-digit numbers in generalized form. It also discusses the test of divisibility by 4, 7, 8, 6, and 11 with the help of solved examples.

Playing with Numbers

This chapter demonstrates the properties of cubes roots with several examples. It describes the cube roots using the factorisation and estimation methods. Through examples, it also explains how to find the cube root of rational and decimal numbers.

Cubes and Cube Roots

In this chapter, we will learn to find the square numbers using the factor method. It illustrates the division method for finding the square root of the given numbers. It also explains how to find the square root of decimals and fractions.

Squares and Square Roots

In this chapter, we will learn in detail about exponents. It explains the various laws of exponents. We will also explore the scientific notation and applications of laws of exponents.

Exponents (Powers)

This chapter briefly explains divisibility and some important properties related to integers: Euclid&#39;s division lemma and the fundamental theorem of arithmetic.

Real Numbers

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