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CBSE Maths Class 10

CBSE CLASS 10 MATHS: AN OVERVIEW

CBSE Class 10 is the very phase of a students’ life that shapes their future. It is the CBSE board class 10 result that decides whether the students will be able to get a preferred stream in 11th Class. Class 10 board exam is thus one of the very first milestones in a students’ life.

Class 10 has always been a grade that required extra focus and now with the release of the new, reduced syllabus by the Central Board of Secondary Education (CBSE) in a post-pandemic world, students need to gear with quicky with the changes. The relaxation in the previous syllabus is definitely to reduce burden, but students’ need to get a clear idea of what’s next and hence should strategize their study routine accordingly. 

Syllabus For Class 10 Maths

The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn in a playful way. It makes the process of conveying knowledge to the students efficient and healthy. 

Chapter-1  Real Numbers  

Starting with an introduction to real numbers, properties of real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a bunch of problems for a thorough and better understanding.

Chapter-2  Polynomials

This chapter is quite important and marks securing topics in the syllabus. As this chapter is repeated almost every year, students find this a very easy and simple subject to understand. Topics like the geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, division algorithm for polynomials followed with exercises and solved examples for thorough understanding. 

Chapter-3  Pair of Linear Equations in Two Variables

This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.

Chapter-4  Quadratic Equations

The Quadratic Equations chapter is a very important and high priority subject in terms of examination, and securing as well as the problems are very simple and easy. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter and also an ample set of problems are provided for better practice purposes. 

Chapter-5  Arithmetic Progressions

This chapter is another interesting and simpler topic where the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from that, there are many problems and exercises followed with each topic for good understanding.

Chapter-6  Triangles

This chapter Triangle is an interesting and easy chapter and students often like this very much and a securing unit as well. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.

Chapter-7  Coordinate Geometry

Here starting with a general introduction, distance formula, section formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes. 

Chapter-8  Introduction to Trigonometry

As trigonometry is a very important and vast subject, this topic is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter. 

Chapter-9  Applications of Trigonometry

This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.

Chapter-10  Circle

Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.

Chapter-11  Constructions

This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided after each topic.

Chapter-12  Areas related to Circles

This chapter problem is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of sector and segment of a circle, areas of combinations of plane figures, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes. 

Chapter-13  Surface Areas and Volumes

Starting with the introduction, the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.

Chapter-14  Statistics

In this chapter starting with an introduction, topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.

Chapter-15  Probability

Probability is another simple and important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter. 

NCERT Solutions For Mathematics Class 10

The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn in a playful way. It makes the process of conveying knowledge to the students efficient and healthy. 

  • NCERT Solutions for Chapter 1- Real Numbers 
  1. Exc 1.1 Solution
  2. Exc 1.2 Solution
  3. Exc 1.3 Solution
  4. Exc 1.4 Solution
  • NCERT Solutions for Chapter 2 – Polynomials 
  • NCERT Solutions for Chapter 3 – Pair of Linear Equations in Two Variables
  • NCERT Solutions for Chapter 4 – Quadratic Equations
  • NCERT Solutions for Chapter 5 – Arithmetic Progressions 
  1. Exc 5.1 Solution
  2. Exc 5.2 Solution
  3. Exc 5.3 Solution
  4. Exc 5.4 Solution
  • NCERT Solutions for Chapter 6 – Triangles 
  • NCERT Solutions for Chapter 7 -Coordinate Geometry 
  • NCERT Solutions for Chapter 8 – Introduction of Trigonometry
  • NCERT Solutions for Chapter 9 – Some Applications of Trigonometry 
  1. Exc 9.1 Solution
  • NCERT Solutions for Chapter 10 – Circles 
  • NCERT Solutions for Chapter 11 – Constructions 
  • NCERT Solutions for Chapter 12 – Area Related to Circle 
  • NCERT Solutions for Chapter 13 – Surface Area and Volume 
  • NCERT Solutions for Chapter 14 – Statistics
  • NCERT Solutions for Chapter 15 – Probability 

Important Questions For Class 10 Maths

The CBSE course structure is designed in a manner to ensure that students do not go through a lot of pressure, moreover, books are made interactive and interesting for students to enjoy their studies. A lot of fun activities are included in between the chapters to help students learn in a playful way. It makes the process of conveying knowledge to the students efficient and healthy. 

CBSE Class 10 Maths Videos

Trignometric ratios are the ratios of different sides of a right angled triangle with respect to an angle. At the end of this session, you will be able to find the height of the  pedestal using some trignometric ratios.

Please watch the entire video lecture for a better understanding of this key topic of CBSE Class 12 Math/ NCERT Class Maths. In this video you will learn how to calculate the Area of a Quadrant which is one quarter of a full circle. 

An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant which is represented by ‘d’. In the sequence in this video, with the first few terms given and by using two consecutive terms, we can find the common difference (which is equals to the difference of two consecutive terms). 

 In this video, we will use the method of cross-multiplication to find out the values of the x and y variables. Students are advised to go through the entire video to get in-depth understanding of the topic.

In the question explained in this video, the maximum value of relative humidity (in percent) is 99.2% and the smallest value is 84.9%. So, to find out the range of the given data, we need to substract the maximum value with minimum value. 

A quadratic equation is any equation that can be rearranged in standard form such that the maximum power of variable is two. In the question given we are told to find two consecutive positive integers such that sum of their squares is 265. 

In this video, you can learn a quick way to solve polynomial problems from CBSE class 10 chapter 2 Question 7. The teacher has explained the solution for question 7 of chapter 2 in the most easy way for complete understanding and life long retention

A quadratic equation is any equation that can be rearranged in standard form such that the maximum power of variable is two.The nature of roots simply means the category in which the roots are falling upon.

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