NCERT Solutions for Class 10 Maths 2024-25: Chapter Wise PDF Download
Last Updated :
26 Jul, 2025
NCERT Solutions for Class 10 Maths are tailored by subject matter experts to assist 10 students in securing top marks in their 10 board exams. As we know mathematics is the highest-scoring subject in the CBSE Class 10th board exam This complete resource includes all questions and answers from the CBSE NCERT textbook, ensuring thorough preparation.
We have organized the chapter-wise solutions of NCERT for Class 10 Maths in the article below. Our team of expert faculty has carefully curated these solutions to help students in their exam preparations.
Our solutions are detailed, with step-by-step explanations in clear and simple language. By mastering the Class 10 Maths NCERT Solutions, students can confidently get A+ grades in their board examinations. Additionally, students can practice Extra Questions for Class 10 Maths to further enhance their understanding and performance.
NCERT Solutions for Class 10 Maths: Chapter-Wise (Old CBSE Syllabus)
Solutions for Class 10 NCERT Maths provides an chapter-wise solutions to all the problems as per the NCERT textbooks. These solutions are written in a clear and concise style, and they also include helpful hints and tips. Below is the chapter wise NCERT solution of class 10th Maths.
NCERT Solutions for Class 10 Maths PDF Download
NCERT Solutions of Class 10 Maths list comprises all the chapter-wise answers to the questions present in the NCERT Book for Class 10 Maths, written in a very precise and easy manner, maintaining the objective of textbooks.
The students can refer to the NCERT Solutions for Class 10 as their additional references and study materials. Practicing NCERT textbook solutions exercise will surely help the students in their preparation for the CBSE Class 10th examination.
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NCERT Solutions for Class 10 Maths: Chapter 1 - Real Numbers
In NCERT Solutions for Class 10 Maths Chapter 1, students will explore real numbers and irrational numbers. In Class 10 Maths, the chapter starts with the Euclid’s Division Lemma, which states that “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”.
The Euclid’s Division algorithm is based on this lemma and is used to calculate the HCF of two positive integers. Then, the Fundamental Theorem of Arithmetic is defined, which is used to find the LCM and HCF of two positive integers.
After that, the concept of an irrational number, a rational number and the decimal expansion of rational numbers are explained with the help of the theorem in NCERT Class 10 Chapter 1 Real Numbers.
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers
NCERT Solutions for Class 10 Maths Chapter 2 - Polynomials
Solutions for Class 10 NCERT Maths Chapter 2, Polynomials, presents a comprehensive study of algebraic expressions with a specific focus on polynomials. The NCERT Solutions offered in this chapter elucidate advanced terminologies like degree, coefficient, and zeroes associated with polynomials. With four exercises to reinforce learning, the chapter caters to students at different proficiency levels.
NCERT Solutions for Class 10 Maths Chapter 2 Polynomial
NCERT Solutions for Class 10 Maths: Chapter 3 - Pair of Linear Equations in Two Variables
In NCERT Solutions for Class 10 Maths Chapter 3, Pair of Linear Equations in Two Variables, students are introduced to the concept of solving linear equations with two variables both graphically and algebraically. In Class 10 Mathematics, the NCERT Class 10 Chapter 3 Pair of Linear Equations in Two Variables comprises seven exercises that progressively cover various methods of solving these equations.
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
NCERT Solutions for Class 10 Maths: Chapter 4 - Quadratic Equations
In Solutions for Class 10 NCERT Maths Chapter 4, students will explore the standard form of writing a Quadratic Equation. The chapter proceeds to elucidate two essential methods of solving quadratic equations: the factorization method and the completing the square method.
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations
NCERT Solutions for Class 10 Maths: Chapter 5 - Arithmetic Progressions
In this Solutions for Class 10 NCERT Maths chapter 5, students are introduced to the concept of Arithmetic Progression (AP). In Class 10 Maths, the NCERT Class 10 Chapter 5 Arithmetic Progressions consists of four exercises, each catering to different aspects of AP. Exercise 5.1 covers questions related to representing situations as AP, finding the first term and difference of an AP, and determining whether a series is an AP or not.
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions
NCERT Solutions for Class 10 Maths: Chapter 6 - Triangles
In NCERT Solutions for Class 10 Maths Chapter 6, Triangles, students will explore comprehensive NCERT Solutions that delve into the intricacies of triangles, focusing on concepts of similarity and congruence.
NCERT Solutions for Class 10 Maths Chapter 6 Triangles
NCERT Solutions for Class 10 Maths: Chapter 7 - Coordinate Geometry
In the solutions for class 10 NCERT Maths chapter 7 on Coordinate Geometry, students will acquire essential skills in finding the distance between two points with known coordinates and calculating the area of a triangle formed by three given points.
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry
NCERT Solutions for Class 10 Maths: Chapter 8 - Introduction to Trigonometry
In NCERT solutions for class 10 Maths chapter 8, Introduction to Trigonometry, students will delve into the fundamentals of Trigonometry, exploring the ratios of right angles with the acute angles of a right-angled triangle. The NCERT Class 10 Chapter 8 Trigonometry introduces students to the concept of Trigonometry, where they will study the ratios associated with the acute angles of a right triangle, known as trigonometric ratios.
Furthermore, the trigonometric ratios for angles of 0° and 90° are defined, providing students with a strong foundation in trigonometric concepts. In Class 10 Maths, the chapter also explores the calculation of trigonometric ratios for specific angles and establishes important identities involving these ratios, referred to as trigonometric identities.
By mastering the content of this chapter, students will gain valuable skills in trigonometry, enabling them to solve a variety of mathematical problems involving angles and triangles.
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry
NCERT Solutions for Class 10 Maths: Chapter 9 - Some Applications of Trigonometry
This NCERT solutions for class 10 Maths chapter 9 serves as a continuation of the previous one, delving into the practical applications of trigonometry. Students will explore the diverse real-world uses of trigonometry, ranging from geography and navigation to map construction and determining positions based on longitudes and latitudes.
In Class 10 Maths, the NCERT Class 10 Chapter 9 Some Applications of Trigonometry focuses on how trigonometry enables the calculation of heights and distances of objects without the need for direct measurement.
Students will be introduced to key terminologies like "line of sight," "angle of elevation," and "angle of depression," which play crucial roles in trigonometric applications. Through this exploration, students will gain a deeper appreciation for the versatility and relevance of trigonometry in solving real-life problems and making accurate measurements in various fields.
NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry
NCERT Solutions for Class 10 Maths: Chapter 10 - Circles
In previous classes, students have familiarized themselves with the concept of a circle and its related terms, including chords, segments, and arcs. However, in this solutions for class 10 NCERT Maths chapter 10, the focus shifts to exploring various scenarios that arise when a circle and a line intersect on a plane.
In class 10 Maths, NCERT class 10 chapter 10 Circles will delve into the concept of tangents to a circle and the determination of the number of tangents from a point on a circle. Through this study, they will gain a comprehensive understanding of the interactions between circles and lines, enabling them to identify and work with tangents in different geometric situations.
This chapter equips students with valuable insights into the geometric properties of circles and lines, broadening their mathematical knowledge and problem-solving skills in the realm of plane geometry.
NCERT Solutions for Class 10 Maths Chapter 10 Circles
The solutions for class 10 Maths NCERT chapter 11 commences with an introduction to the fundamental concepts of the perimeter and area of a circle. Building upon this foundation, students of Class 10 Maths will explore the methods to determine the area of a sector and segment within a circular region.
Additionally, the chapter will provide clarity on calculating the areas of various combinations of plane figures that involve circles or their components.
By understanding these principles of NCERT Class 10 Chapter 11 Areas Related to Circles, students will gain a comprehensive understanding of the geometric properties of circles and their relevance in calculating areas of different circular regions and their combinations. This knowledge will enable them to solve complex problems related to circles and other plane figures, further enhancing their mathematical proficiency.
NCERT Solutions for Class 10 Maths: Chapter 12 - Surface Areas and Volumes
In NCERT solutions for class 10 Maths chapter 12 consists of five exercises that encompass a diverse range of problems related to solid objects. In Exercise 12.1, students will encounter questions requiring them to calculate the surface area of composite objects formed by combining any two basic solids, such as cuboid, cone, cylinder, sphere, and hemisphere.
By engaging with these exercises, students of Class 12 Maths will gain a comprehensive understanding of solid objects and their various properties, developing the necessary skills to solve complex problems involving composite shapes and transformations.
NCERT Solutions for Class 10 Maths Chapter 12 Surface Areas And Volumes
NCERT Solutions for Class 10 Maths: Chapter 13 - Statistics
In this solutions for class 10 Maths NCERT chapter 13, students will delve into the conversion of ungrouped data into grouped data, enabling them to represent numerical information more effectively. They will also learn to calculate the Mean, Mode, and Median of the data, providing valuable insights into the central tendencies of the dataset.
Furthermore, students of Class 10 Maths will explore the concept of cumulative frequency and cumulative frequency distribution, gaining an understanding of how to construct cumulative frequency curves. Through this study of NCERT Class 10 Chapter 13 Statistics, students will enhance their statistical analysis skills and develop a comprehensive understanding of handling and interpreting data in a more organized and insightful manner.
NCERT Solutions for Class 10 Maths Chapter 13 Statistics
NCERT Solutions for Class 10 Maths: Chapter 14 - Probability
In the final chapter of NCERT solutions for class 10 Maths chapter 14 Probability is the focal point of study. It commences by introducing the theoretical aspects of probability, providing students with a foundational understanding of the subject.
Additionally, the NCERT Class 10 Chapter 14 Probability highlights the distinction between experimental probability and theoretical probability, offering various illustrative examples to reinforce the concepts effectively. For Class 10 Maths, Students are encouraged to work through these examples in CBSE Maths before proceeding to the exercise problems.
This approach ensures that students have a solid grasp of the theoretical concepts and practical applications of probability, equipping them to tackle the exercises with confidence and accuracy. By engaging with this chapter, students will develop a comprehensive understanding of probability and its significance in analyzing real-world situations.
NCERT Solutions for Class 10 Maths Chapter 14 Probability
CBSE Class 10 Maths Marks Weightage 2024
| Unit | Unit Name | Marks |
|---|
| I | Number Systems | 06 |
| II | Algebra | 20 |
| III | Coordinate Geometry | 06 |
| IV | Geometry | 15 |
| V | Trigonometry | 12 |
| VI | Mensuration | 10 |
| VII | Statistics and Probability | 11 |
| Total | - | 80 |
| Internal Assessment | - | 20 |
| Total | 100 |
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These newly revised and updated NCERT textbook solutions for Class 10 Maths are suitable for students in both Hindi and English mediums. Therefore, Class X Maths Solutions give you a clear idea of the question patterns in your upcoming board exams, making them easier to solve. Through consistent practice with these free Class 10th Maths Solutions, you can achieve a good percentage in your 10th board exams.
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