# NCERT Solutions for Class 10 Maths

Class 10 is the first stepping stone for a student in the competitive world. With the introduction of CBSE Board Exam for Class 10 a few years back, this has become an important gateway for a student as based on the results of class 10 a student select his future stream of Science, Commerce or Arts.

Mathematics is a very important subject in school. Mathematics plays a serious role in choosing the career stream at the higher secondary level. Knowing the CBSE Class 10th Maths Syllabus is a prerequisite for students appearing for CBSE Board Examination. Students who are in search of NCERT Solutions for Class 10 Maths can check with this text. In order to secure good marks in Mathematics, students should be crystal clear with the CBSE Class 10 Syllabus and NCERT Solutions for Class 10. In this text, here is the unit-wise marks distribution for CBSE Class 10 Maths Exam.
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Unit Wise Marks Distribution of Marks
The unit wise distribution of marks in CBSE Class 10 Mathematics is as follows:

Note: The CBSE Class 10 Maths Examination will be conducted for 80 marks. The remaining 20 marks are allotted for Internal Assessment which splits into:

All the NCERT Solutions for Class 10 Maths provided here are prepared in accordance with the textbooks published by the National Council of Educational Research and Training (NCERT) which are prescribed by the Central Board of Secondary Education (CBSE) for Class 10 Maths. So the solutions are relevant as well as accurate on which you can surely rely on.

Below are the Chapter-wise Downloadable links of the NCERT Solutions for Class 10 Maths:

## NCERT Solutions for Class 10 Maths Chapter 1

Real Numbers

It comprises Euclid’s division lemma, Fundamental Theorem of Arithmetic, Proofs of results – irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

## NCERT Solutions for Class 10 Maths Chapter 2

Polynomials

It comprises Zeros of a polynomial, Relationship between zeros and coefficients of quadratic polynomials, Statement and simple problems on division algorithm for polynomials with real coefficients.

## NCERT Solutions for Class 10 Maths Chapter 3

Pair of Linear Equations in Two Variables

It comprises Linear equations in two variables and graphical method of their solution and solution by algebraically – by substitution, by elimination and by cross multiplication method, Simple situational problems.

## NCERT Solutions for Class 10 Maths Chapter 4

Quadratic Equations

It comprises the Standard form of a quadratic equation ax2+bx+c=0, (a ≠ 0), Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using the quadratic formula, Relationship between discriminant and nature of roots.

## NCERT Solutions for Class 10 Maths Chapter 5

Arithmetic Progressions

It comprises 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.

## NCERT Solutions for Class 10 Maths Chapter 6

Triangles

It comprises definitions, examples, counter examples of similar triangles and proofs.aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

## NCERT Solutions for Class 10 Maths Chapter 7

Coordinate Geometry

It comprises Concepts of coordinate geometry, Graphs of linear equations, Distance formula, Section formula (internal division), and Area of a triangle.

## NCERT Solutions for Class 10 Maths Chapter 8

Introduction to Trigonometry

It comprises Trigonometric ratios of an acute angle of a right-angled triangle, Proof of their existence; motivate the ratios, whichever are defined at 0° and 90°, Relationships between the ratios.

## NCERT Solutions for Class 10 Maths Chapter 9

Some Applications of Trigonometry

It comprises Proof and applications of Trigonometry, Simple and practical problems on heights and distances.

## NCERT Solutions for Class 10 Maths Chapter 10

Circles

It comprises Tangents to a circle motivated by chords drawn from points coming closer and closer to the point, Tangent to a circle from a point outside it.

## NCERT Solutions for Class 10 Maths Chapter 11

Constructions

It comprises the constructions by using the knowledge of the earlier constructions done in Class 9th, mathematical reasoning behind why such constructions work.

## NCERT Solutions for Class 10 Maths Chapter 12

Areas Related to Circles

It comprises Motivate the area of a circle; area of sectors and segments of a circle, Problems based on areas and perimeter/circumference of the above-said plane figures.

## NCERT Solutions for Class 10 Maths Chapter 13

Surface Areas and Volumes

It comprises Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones, Frustum of a cone.

## NCERT Solutions for Class 10 Maths Chapter 14

Statistics

It comprises Mean, median and mode of grouped data, Cumulative frequency graph.

## NCERT Solutions for Class 10 Maths Chapter 15

Probability

It comprises Classical definition of probability, Simple problems on single events (not using set notation).

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