mathematics

This subject covers units such as trigonometry, mensuration, geometry, algebra, statistics and probability and, commercial mathematics

Statistics and Probability covers chapters such as Probability, Measures of Central Tendency and, Graphical Representation

Statistics and Probability

Commercial Mathematics covers chapters such as Banking, Value Added Tax and, Shares and Dividends

Commercial Mathematics

Algebra covers chapters such as Matrices, Ratio and Proportion, Factorisation of polynomials, Arithmetic and Geometric Progression, Linear Inequations and, Quadratic Equations in One Variable

Algebra

Geometry covers chapters such as Circles, Co-ordinate Geometry, Constructions, Loci and, Similarity

Geometry

Trigonometry covers chapters such as Trigonometric Identities and Heights and Distances

Trigonometry

Mensuration contains chapter Area and Volume of Solids

Mensuration

ICSE MATHEMATICS CLASS 10

Understanding ICSE Mathematics Class 10

Mathematics Crash Course (Based on Revised Syllabus-2023)

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

All In One ICSE Mathematics Class 10

Concise Mathematics

The Volume of Hollow Solids: Cylinder and Sphere

Calculating GST, VAT and Sales Taxes

Areas of Similar Triangles

Calculation of Taxes for Purchased Goods

Quartile Deviation

Illustration on Trigonometric Ratio for Given Ratio

Special Types of Matrices

Conditions for Two Lines to Be Parallel

Arithmetic Mean

Roots of Quadratic Equation: Illustration

Volume of Frustum of a Cone

Tangents From an Exterior Point: Illustration

Trigonometric Identities

Nature of the Roots: Illustration

Nature of the Roots: Illustration 1

Perfect Square Method to Solve Quadratic Equation

Application of the Remainder Theorem: Example 2

Application of the Remainder Theorem: Example 1

Factor Theorem: Illustration

Remainder Theorem and Factor Theorem

Dividing Polynomial by a Polynomial

Proportion

Introduction to Ratios

Multiplication of a Matrix by a Scalar

Properties of Matrix Addition

Addition of Matrices

Illustration on Equality of Matrices

Definition of Equality of Matrices

Types of Matrices

Matrices

Sample Space

Standard Forms of the Equation of a Line (Part-2)

Slope Intercept Form of a Straight Line

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

The Slope of a Straight Line

Locus

Coordinates of Centroid

Centroid - Meaning

Section Formula

Sum of First n Natural Numbers

Arithmetic Mean & Geometric Mean: Illustration

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.

Sum of First n Terms of a Geometric Progression

Geometric Progression

Arithmetic Progression

Definition of Series, Sum & nᵗʰ Term

Rules for Drawing Graph of Inequality

Graphical Solution of x > 0

Solution of Inequality

Types of Inequalities and Their Properties

Properties of inequalities

Equation Reducible to Quadratic Equation

Discriminant and Nature of Roots

Solution of Quadratic Equation

Formulae for Allied Angles

Prove a Trigonometric Result Under Given Condition

Simplification of Problem by Identity

Complementary Events

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Ogive Curve for Finding Median

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

Conversion of Solids

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 Hollow Cylinders

Surface Area of Combination of Cone and Hemisphere

Surface Area of Combination of Cylinder and Cone

Surface Area of Combination of Solids

Construction of Tangents From an Exterior Point

Tangent to a Circle

Application of Trigonometry (Height of Tower)

Application of Trigonometry (Height of Windmill)

Illustration on Finding Height by Depression Angle

Illustration Based on Finding Height of Balloon

Illustration on Finding the Width of a River

Illustration Based on Finding Height of Tower

Illustration Based on Finding Angle of Elevation

Illustration Based on Angle and Height of Object

Introduction to Height & Distance

Illustration of Trigonometric Identity

Trigonometric Ratios for the Angle of 60°

Trigonometric Ratios for the Angle of 45°

Trigonometric Ratio Sine for the Angle of 30°

Inter Relation Between the Trigonometric Ratio

Defining Sine and Cosine Ratios and Their Range

Visualising Trigonometric Ratios

Introduction to Trigonometry

Coordinates of the Incentre

Midpoint - Definition

Division of a Line Segment

Collinearity and Non-collinearity of Points

Through this chapter, we will learn about the various components of a graph. We will study how to represent a point on the graph. Moreover, we will discuss several solved examples for a better understanding of the coordinate geometry.

Co-ordinate Geometry

This chapter explains the concept of probability. It discusses the terms related to probability such as sample space, event, random experiment, etc., and problems based on them.

Probability

In this chapter, we will learn about histogram and its use for continuous and discontinuous grouped data. We will study the cumulative frequency curve or ogive curve through examples.

Graphical Representation

This chapter explains the concept of arithmetic mean, combined mean and weighted mean. We will study the methods to calculate mode and median, along with the frequency curve. It also briefs on the quartiles and interquartile range.

Measures of Central Tendency

In this chapter, we will learn about heights and distances and the methods to calculate them. It discusses the angles of elevation and depression via solved examples.

Heights and Distances

In this chapter, we will study the trigonometric identities and ratios of complementary angles. It discusses the fundamental identities by applying them to the problems based on it.

This chapter discusses the method of finding the area and volume of solids. It explains how to find the surface area of a cylinder, cuboid, and cube. It also describes the way to calculate the area of the cross-section.

Area and Volume of Solids

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

In this chapter, we will discuss the terms associated with circles. It explains the construction of circles with the help of various examples. We will also come across its different properties and learn how to apply them for solving questions.

Circles

In this chapter, we will learn about the locus and some standard cases of it. Here, we will learn the theorems based on locus and solve problems with the help of examples.

Loci

This chapter explains the basic proportionality theorem and the applications of the converse of BPT. It also discusses the criteria for similarity of the triangles and its proof.

Similarity

In this chapter, we will learn about the sequence and general terms of A.P. and G.P. It also gives the details of the sum of n terms of A.P. and G.P. along with the useful properties, with the aid of examples.

Arithmetic and Geometric Progression

In this chapter, we will learn about matrices and its types with the help of examples. It details the operations on matrices, including addition and multiplication. We will also solve the previous year questions based on it.

This chapter deals with the concept of polynomial, including its zeros and division algorithms. It also explains the equality of two polynomials and factors of a polynomial with the help of examples.

Factorisation of polynomials

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 quadratic equations and the different methods to find their solutions. Here, we will also learn about the nature of roots and their relation with the coefficient of quadratic equations.

Quadratic Equations in One Variable

In this chapter, we will learn different methods such as substitution, elimination and cross-multiplication through which we solve a linear equation. It also explains the conditions for consistency of a linear equation by discussing the problems.

Linear Inequations

This chapter discusses the terms shareholder, market value, at par, at premium and at discount. It mentions the important formulas related to share and dividend via examples. It also briefs on the annual income and yield percentage.

Shares and Dividends

In this chapter, we will learn the concept of banking and its types. It mentions the basic terms related to the recurring deposit account. We will also learn about the calculation of interest and maturity value on recurring deposit.

Banking

This chapter covers topics like computation of tax, goods and services tax (GST), and input tax credit (ITS).

Value Added Tax

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