Embibe Big Book for Mathematics for ICSE Class 10

Mathematics

Ratio and Proportion

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.

This topic helps us understand the basic meaning of ratio. It discusses the terms of ratio. Further, it also discusses the properties of ratio and some important facts about ratio. It also enables us to understand how to compare ratios.

Introduction to Ratio

In this topic, we will be able to learn the properties of proportion. It tells about invertendo, alternendo, componendo, dividendo, convertendo, addendo and subtrahendo. It also helps to improve our algebraic concepts.

Properties of Proportion

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Proportion

Introduction to Ratios

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.

Matrices

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 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

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Ratio and Proportion

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