# Class 10 Maths NCERT Solution, Sample Paper, Study Notes etc

Class 10 Maths Study Material – NCERT Solutions, Question papers, Previous Year CBSE Papers, Study Notes, Model Question Papers ,etc are available here

Contents

## Class 10 Maths

Class 10 Mathematics NCERT Text book consists of 15 Chapters. This section consists of study material for students of Class 10 for Mathematics subject. Here you will find sample paper, previous years papers, practice papers, NCERT Solutions, MCQ Questions, Revision Notes, Study Notes, Formula booklet, concept building question, etc

Class 10 Mathematics Includes the following chapters : Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry and its Applications, Circles, Constructions, Area Related to Circles, Surface Areas and Volumes, Statistics and Probability.

## Class 10 Mathematics Syllabus

Chapter 1 – Real Number
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of Sqrt(2), Sqrt(3), Sqrt(5)

Chapter 2 – Polynomials
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

Chapter 3 – Pair of Linear Equations in Two Variables
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

Chapter 5 – Arithmetic Equations
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems

Chapter 6 – Triangles
Definitions, examples, counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

Chapter 7 – Coordinate Geometry
Review : Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

Chapter 8 – Introduction to Trigonometry
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 300 , 450 and 600 . Relationships between the ratios.
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.

Chapter 9 – Some Applications of Trigonometry
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

Chapter 10 – Circles
Tangent to a circle at, point of contact
1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

Chapter 11 – Constructions

Chapter 12 – Areas related to Circles
Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.

Chapter 13 – Surface Area and Volumes
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones

Chapter 14 – Statistics
Mean, median and mode of grouped data (bimodal situation to be avoided)

Chapter 15 – Probability
Classical definition of probability. Simple problems on finding the probability of an event

## Class 10 Mathematics NCERT Solutions

Class 10 Maths Chapter 13 (Surface Area and Volumes ) NCERT Solutions
Class 10 Maths Chapter 13 Exercise 13.1
Class 10 Maths Chapter 13 Exercise 13.2
Class 10 Maths Chapter 13 Exercise 13.3
Class 10 Maths Chapter 13 Exercise 13.4

Class 10 Maths Chapter 14 (Statistics) NCERT Solutions
Class 10 Maths Chapter 14 Exercise 14.2

## Class 10 Mathematics Previous Year Question Paper (CBSE)

• Class 10 Maths Question paper 2022
• Class 10 Maths Question paper 2021
• Class 10 Maths Question paper 2020
• Class 10 Maths Question paper 2019
• Class 10 Maths Question paper 2018
• Class 10 Maths Question paper 2017
• Class 10 Maths Question paper 2016
• Class 10 Maths Question paper 2015

## Class 10 Mathematics Sample/Model Question Paper For 2022-23

• Class 10 Maths Sample paper for 2021-22 Term II [ Question Paper / Solutions ]
• Class 10 Maths Model Question Paper 10 (With Solutions)
• Class 10 Maths Model Question Paper 9 (With Solutions)
• Class 10 Maths Model Question Paper 8 (With Solutions)
• Class 10 Maths Model Question Paper 7 (With Solutions)
• Class 10 Maths Model Question Paper 6 (With Solutions)
• Class 10 Maths Model Question Paper 5 (With Solutions)
• Class 10 Maths Model Question Paper 4 (With Solutions)
• Class 10 Maths Model Question Paper 3 (With Solutions)
• Class 10 Maths Model Question Paper 2 (With Solutions)
• Class 10 Maths Model Question Paper 1 (With Solutions)