NCERT Solutions Class 10 Maths

NCERT Solutions for Class 10 Maths covering all exercises from Chapters 1 to 14 are provided here. These solutions are prepared by ALLEN’s subject expert faculty to support students in their exam preparation. Students can download chapter-wise PDFs to understand the actual approach to solving problems and strengthen their conceptual clarity. Practising these solutions helps students assess their preparation level and quickly clear doubts while studying the NCERT textbook.

The CBSE Class 10 Maths paper follows the NCERT prescribed structure, making it essential for students to refer to these solutions during their preparation. These solutions also help build a strong foundation for concepts that will be studied in Classes 11 and 12. Additionally, NCERT Solutions for Class 10 Maths are beneficial for students preparing for various competitive exams.

1.0NCERT Solutions Class 10 Maths Chapters: Download PDF

The NCERT Solutions for Class 10 Maths are meticulously designed to help students study all topics efficiently and effectively. Students can download and use these Class 10 Maths NCERT Solutions as additional study material and reference during their preparation. These solutions can effectively support students in strengthening their concepts and preparing confidently for the board examinations.

Important Topics covered under CBSE NCERT Class 10 Maths

2.0NCERT Solutions Class 10 Maths Chapter-wise Details

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

Chapter 1, Real Numbers, is an introduction to the number system that includes Euclid's Division Lemma, the Fundamental Theorem of Arithmetic, and separating numbers into rational and irrational. Students are introduced to the properties of positive integers, rules of divisibility, and how this information is connected to real-world applications and advanced mathematics. The chapter also provides methods for finding the HCF and LCM of numbers and develops from a greater understanding of irrational numbers, particularly through the decimal expansions of irrational numbers. 

Class 10 Maths Chapter 1 Exercises: -

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

The "Polynomials" chapter begins to move into algebra, where linear, quadratic, and cubic polynomials are defined according to their degree. It stresses determining zeros of polynomials and how those relate to coefficients. The division algorithm for polynomials is also presented, allowing one polynomial to be divided by another. The two chapters are introductory, laying the groundwork for further mathematical studies.

Class 10 Maths Chapter 2 Exercises:-

NCERT Solutions of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Chapter 3, "Pair of Linear Equations in Two Variables," from the Class 10 NCERT Maths book deals with techniques such as substitution, elimination, and cross-multiplication to solve equations involving two variables. The chapter describes graphically how equations involving two variables can be represented, with their solutions marked as the points of intersection of lines, and discusses conditions for unique, no, or infinite solutions.

Class 10 Maths Chapter 3 Exercises:-

NCERT Solutions of Class 10 Maths Chapter 4 Quadratic Equations

Chapter 4, "Quadratic Equations," in Class 10 NCERT Maths deals with solving quadratic equations of the type ax² + bx + c = 0 with techniques such as factoring, completing the square, and the use of the quadratic formula. It mentions the discriminant to identify whether roots are real, equal, or complex and explains the practical applications of quadratic equations in everyday life.

Class 10 Maths Chapter 4 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions

Chapter 5, "Arithmetic Progressions," of Class 10 NCERT Maths defines Arithmetic Progressions (AP) as a sequence in which the difference between consecutive terms is the same. It discusses how to determine the nth term and the sum of the first n terms, using these concepts through practical problems and exercises to develop analytical skills.

Class 10 Maths Chapter 5 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 6 Triangles

Chapter 6, "Triangles," of Class 10 NCERT Maths discusses properties and congruence conditions for triangles, including SAS, ASA, and SSS. It covers theorems concerning the properties of similar triangles, like the Basic Proportionality Theorem and Pythagoras' Theorem, and applies these concepts through different geometric problems and exercises.

Class 10 Maths Chapter 6 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

Chapter 7, "Coordinate Geometry," of Class 10 NCERT Maths deals with the fundamentals of coordinate planes, plotting points, and finding equations of lines. It consists of distance formula, section formula, and area of triangles, using these concepts through practical examples.

Class 10 Maths Chapter 7 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry

Chapter 8, "Introduction to Trigonometry," of Class 10 NCERT Maths educates students on the fundamentals of trigonometry, such as trigonometric ratios, identities, and values of specific angles. The chapter uses these concepts to solve height and distance problems, reinforcing students' knowledge on trigonometric applications.

Class 10 Maths Chapter 8 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry

Chapter 9, "Some Applications of Trigonometry," in Class 10 NCERT Maths, deals with the practical applications of trigonometry in measuring heights and distances. It employs trigonometric ratios to solve problems in real life involving angles of elevation and depression.

Class 10 Maths Chapter 9 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 10 Circles

Chapter 10, "Circles," of Class 10 NCERT Maths covers the properties of circles, such as theorems concerning tangents and secants. It gives exercises on proving lengths of tangents from a point lying outside a circle are equal and their connection with other geometric shapes.

Class 10 Maths Chapter 10 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 11 Areas Related to Circles

Chapter 11, "Areas Related to Circles," of Class 10 NCERT Maths deals with the calculation of areas and perimeters of different circular segments such as sectors and segments of circles, using these concepts through practical problems of geometry.

Class 10 Maths Chapter 11 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 12 Surface Areas and Volumes

Chapter 12, "Surface Areas and Volumes," of NCERT Class 10 Maths develops formulas and methods for the computation of surface areas and volumes of different 3D shapes like cylinders, cones, and spheres using problem-based exercises.

Class 10 Maths Chapter 12 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 13 Statistics

Chapter 13, "Statistics," of Class 10 NCERT Maths deals with ways of representing data, calculating measures of central tendency (mean, median, mode), and using grouped data to find these statistics through examples and exercises.

Class 10 Maths Chapter 13 Exercises:-

NCERT Solutions for Class 10 Maths Chapter 14 Probability

Chapter 14, "Probability," of Class 10 NCERT Maths provides the fundamental ideas of probability, such as theoretical and experimental probability, and implements these concepts through different problem-solving exercises to make predictions.

Class 10 Maths Chapter 14 Exercises:-

Chapterwise Distribution of CBSE Class 10 Maths:

3.0Other Important Study Material for Class 10 Students

4.0Importance of NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 Maths are important for CBSE students due to several reasons. Firstly, the CBSE board examination follows only the NCERT textbook. As a result, it becomes necessary and important for students to deal with these solutions. Below are some of the reasons why Class 10 NCERT Solutions for maths are so important:

• Knowledge of Concepts: The class 10 Maths NCERT Solutions have provided the students with a conceptual understanding of mathematics. Their explanations and steps to solve problems are clear, which helps them understand and find solutions to even the hardest problems more easily.
• These solutions provide insight into the approach and methods used to solve various types of problems. This helps students during examinations because, when the time for each paper is limited, it saves almost all of the valuable time wasted on reminding students about various kinds of questions; this enables candidates to plan their time judiciously and acquire other critical skills.
• Board Exam Preparation: Give an idea about the type of questions that would come in the board examination and how to solve them accurately. A properly structured approach toward the solution, as depicted in these solutions, helps students perform better and obtain more marks.