NCERT Chapter-wise Solutions for Class 10 Maths PDF are updated for the 2024-25 session, following CBSE guidelines. Class 10 NCERT Textbook Solutions are in both Hindi and English for all students. Book’s Solutions for Class 10 NCERT Mathematics Exercises are essential tools for students preparing for their board exams. These chapter-wise solutions cover all important topics given NCERT Class 10 Math Textbooks providing clear explanations and step-by-step answers. Students can use these 10th Mathematics CBSE Book Topic-wise Solutions to study anytime, ensuring they understand the Real Numbers and Statistics concepts. The NCERT Exercises Solutions align perfectly with the CBSE Board High School Math syllabus, making them an indispensable guide for acing the board exams.

NCERT Class 10 Mathematics Chapter-wise Solutions in Hindi and English

Chapter 1. Real Numbers
Chapter 2. Polynomials
Chapter 3. Pair of Linear Equations
Chapter 4. Quadratic Equations
Chapter 5. Arithmetic Progression
Chapter 6. Triangles
Chapter 7. Coordinate Geometry
Chapter 8. Introduction to Trigonometry
Chapter 9. Applications of Trigonometry
Chapter 10. Circles
Chapter 11. Area Related to Circles
Chapter 12. Surface Areas and Volumes
Chapter 13. Statistics
Chapter 14. Probability


For comprehensive exam preparation, NCERT Class 10 Maths Chapter-wise Solutions and Revision Notes serve as an ideal tool to review key topics like Surface Areas and Volumes. NCERT 10th Math Textbook Solutions simplify complex problems and help students grasp important formulas and methods. With dedicated resources such as Video Tutorials and Practice Questions, students can enhance their learning experience and boost confidence. The availability of concise NCERT Class 10 Mathematics Book Answers and Solutions ensures every concept is clear, preparing students for every type of question they might face in their exams.


CBSE Syllabus Class 10 Maths for 2024-25
Study Plan for Class 10 Board Exam 2025

The NCERT Class 10 Maths book is a comprehensive resource for students aiming to excel in their board exams. With detailed step-by-step Maths solutions, it simplifies even the most complex concepts, ensuring clarity and ease of understanding. Class 10 Maths chapter-wise solutions provide a systematic approach to mastering topics, making it easier for students to revise. For effective board exam preparation Maths, the guide covers all essential formulas and key topics. By solving NCERT Maths practice questions and using NCERT Maths solved examples, students can build a strong foundation in concepts like Algebra, Trigonometry and Geometry, ensuring exam readiness.


For students preparing for the CBSE Class 10 Maths exam, having access to Class 10 Maths revision notes and NCERT Class 10 important questions is crucial. These resources offer concise explanations and highlight areas to focus on for better performance. The inclusion of Maths formulas for Class 10 and Class 10 Maths practice sets further boosts preparation. With the ability to download NCERT Maths PDF files, students can study anytime, anywhere. Additionally, practicing Maths problem-solving techniques and reviewing the Class 10 CBSE Maths syllabus ensures comprehensive preparation, giving students the confidence to tackle the board exams successfully.

Weightage of Chapters: Class 10 Maths Solutions Board Exam 2024-25

ChaptersWeightage (Marks)
1. Real Numbers06
2. Polynomials, 3. Pair of Linear Equations, 4. Quadratic Equations, 5. Arithmetic Progression20
7. Coordinate Geometry06
6. Triangles, 10. Circles15
8. Introduction to Trigonometry, 9. Applications of Trigonometry12
11. Area Related to Circles, 12. Surface Areas and Volumes10
13. Statistics, 14. Probability11
Pen Paper Test and Multiple Assessment10
Portfolio05
Lab Practical (Lab activities to be done from the prescribed books)05
Total100

A Systematic Way to Prepare for Class 10 Maths

Following a well-structured timetable for Class 10 Maths preparation offers numerous benefits. It ensures systematic coverage of the syllabus, allowing students to allocate dedicated time for each topic. This approach minimizes last-minute cramming and reduces the stress of forgetting essential concepts. A timetable also encourages disciplined study habits, helping students focus on challenging areas like algebra, geometry or trigonometry, and allocate enough time for revision.

A timetable promotes balanced Study Plan by incorporating breaks and varied activities like mock tests, formula revision, and doubt-solving sessions. This balance prevents burnout and keeps students motivated throughout their preparation journey. Regular practice as part of the schedule develops confidence, while timed tests improve time management skills, crucial for the exam day. By following a timetable, students cultivate a sense of accountability and accomplishment, ensuring they stay on track and meet their academic goals efficiently.

Time Activity Details
6:00 AM – 7:00 AM Morning Revision Revise formulas and important theorems.
7:30 AM – 8:30 AM Problem Solving Solve 10-15 problems from topics you find challenging.
4:00 PM – 5:00 PM Topic Focus Study one specific chapter (e.g., Trigonometry or Geometry).
6:00 PM – 6:30 PM Break Relax and refresh.
6:30 PM – 7:30 PM Mock Test Attempt a timed test for practice.
8:00 PM – 9:00 PM Doubt Clearing Review mistakes and clear doubts from tests or problems.

NCERT Textbook Solutions for Class 10 Maths are very helpful for students preparing for exams. These solutions explain every topic step by step, like Quadratic Equations, Trigonometry and Arithmetic Progressions, making it easy to understand. You can download NCERT free PDF Solutions to study anywhere and practice important topics like Real Numbers and Statistics. By solving Sample Papers you can improve your problem-solving skills and feel more confident. 10th NCERT Math solutions follow the CBSE syllabus, so you know you are preparing the right way for your board exams.


Check here the Class 10 Maths NCERT Solutions – Free PDF Download with complete Curriculum of Class 10 Maths for 2024-25 Board Exams. Class 10 Maths Solution Guides Available in Hindi and English Medium. At Tiwari Academy, our Chapter-wise NCERT Class 10 Maths Solutions are designed to be both accurate and easy to understand, ensuring students in both Hindi and English medium can confidently grasp mathematical concepts. Trust our expertly crafted solutions for simplified learning and effective exam preparation. Rate and Review with your feedback.
Class 10 Mathematics NCERT Solutions also include topics like Surface Areas and Volumes and Probability, which are explained in a simple way to help you learn faster. You can use 10th Math NCERT Chapter-wise Solutions and Revision Notes to quickly go over important points before exams. There are also Practice Questions and Video Tutorials to make studying more fun and interesting.


Class 10 Solutions Apps Download
Detailed NCERT Solutions for Class 10 Maths (2024-25 Edition) at Tiwari Academy follow the CBSE curriculum with accuracy. We offer clear, step-by-step explanations of concepts, formulas, and problem-solving techniques, making it easy for students to learn and prepare for exams. Perfect for both classroom and exam preparation.

Class 10 Maths

Chapter 1 Real Numbers Important Questions
Chapter 2 Polynomials Important Questions
Chapter 3 Linear Equations Important Questions
Chapter 4 Quadratic Equations Important Questions
Chapter 5 Arithmetic Progression Important Questions
Chapter 6 Triangles Important Questions
Chapter 7 Coordinate Geometry Important Questions
Chapter 8 Introduction to Trigonometry Important Questions
Chapter 9 Application of Trigonometry Important Questions
Chapter 10 Circles Important Questions
Chapter 11 Areas Related to Circles Important Questions
Chapter 12 Surface Areas and Volumes Important Questions
Chapter 14 Probability Important Questions

Here are the tips to score good marks through Expert NCERT Solutions for Class 10 Maths Problems, student need more practice preparing for a class 10 Maths exam.
1. Regular practice strengthens the mathematics concepts learned in Class 10. As the saying goes, “Practice makes perfect.” Tiwari Academy supports this with simple, user-friendly solutions to help students master the subject.
2. Using these solutions makes it easier to understand 10th-grade Mathematics as a practical tool for solving everyday problems.
3. Further, scoring marks in class 10 mathematics becomes a child’s play.
Students of grade 10 mathematics, finds here the revised and modified Comprehensive NCERT Solution for Class 10 Mathematics by Tiwari Academy based on new curriculum.
NCERT Textbook Solutions for Class 10 Maths are essential for students preparing for exams, covering important topics like Real Numbers, AP, Trigonometry and Pair of Linear Equations in Two Variables. These chapter-wise NCERT Class 10 Maths Solutions include step-by-step answers, ensuring students understand concepts clearly. Topics such as Surface Areas and Volumes, Statistics and Probability are explained in a simple way. With free PDFs, Revision Notes and Video Tutorials, students can study anytime. Solving Sample Papers, Mock Tests and Practice Questions helps boost confidence. These resources follow the CBSE syllabus, making Class 10 NCERT Maths Book Answers perfect for exam preparation.

Class: 10Mathematics Textbook
Number of Chapters:14 (Fourteen)
Contents:Class 10 Math NCERT Solution: All Chapters Explained
Content Type:Online Videos, Images and PDF
Academic Year:Current Session 2024-25
Medium:English Medium and Hindi Medium

Class 10 Solution Apps
Solutions of all exercises from Chapters 1 to 14 are available in PDF at Tiwari Academy. The NCERT textbook solutions for class 10 Maths are made easy to understand. Learn here the concepts which help to score good marks in school test and also in the board exams, Ace Your Exams with NCERT Solutions for Class 10 Maths.


Class 10 Maths App for Android
Class 10 Maths in Hindi for Android
Class 10 Science App for Android
Class 10 Science in Hindi for Android
Class 10 Social Science App for Android
Class 10 Social Science in Hindi for Android
Class 10 Sanskrit App for Android
Class 10 English App for Android
Class 10 Hindi App for Android
Class 10 all Subjects App for Android
Class 10 NCERT Books App for Android

Perfection in Class 10 Mathematics needs constant practice. Ideally, students should practice a mix of examples and unsolved questions. Solving a variety of questions is essential, especially with changes in the exam pattern, to build strong problem-solving skills.

NCERT Solutions for Class 10 Maths Chapter 1 PDF – Real Numbers

In Class 10 Maths Chapter 1, Real Numbers covers real and irrational numbers, Euclid’s Division Lemma and the Fundamental Theorem of Arithmetic.

Class 10 Maths Chapter 1 in English for CBSE Board
Class 10 Maths Exercise 1.1 in English
Class 10 Maths Exercise 1.2 in English


Class 10 Maths Chapter 1 in English for State Board
Class 10 Maths Exercise 1.1 in English
Class 10 Maths Exercise 1.2 in English
Class 10 Maths Exercise 1.3 in English
Class 10 Maths Exercise 1.4 in English


Class 10 Maths Chapter 1 in Hindi Medium
Class 10 Maths Exercise 1.1 in Hindi
Class 10 Maths Exercise 1.2 in Hindi

Topics to be covered in Class 10 Maths Chapter 1 Real Numbers
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3 and √5.

NCERT Solutions for Class 10 Maths Chapter 2 – Polynomials

Student get Class 10 Maths NCERT Solutions Chapter 2 Polynomials with free of cost.
Class 10 Maths Chapter 2 in English for CBSE Board
Class 10 Maths Exercise 2.1 in English
Class 10 Maths Exercise 2.2 in English


Class 10 Maths Chapter 2 in English for State Board
Class 10 Maths Exercise 2.1 in English
Class 10 Maths Exercise 2.2 in English
Class 10 Maths Exercise 2.3 in English
Class 10 Maths Exercise 2.4 in English
Tiwari Academy offers Class 10 Maths NCERT solutions, updated for session 2024-25, making it a great resource for students looking to excel in their Class 10 Maths exams. These solutions are easy to understand and help build a strong foundation for future success. Ideal for exam preparation and mastering essential concepts.
Class 10 Maths Chapter 2 in Hindi Medium
Class 10 Maths Exercise 2.1 in Hindi
Class 10 Maths Exercise 2.2 in Hindi
Class 10 Maths Chapter 2 Polynomials Topics for Exams
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

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

Class 10 Maths chapter 3 explains the concept of Pair of Linear Equations in Two Variables.
Class 10 Maths Chapter 3 in English for CBSE Board
Class 10 Maths Exercise 3.1 in English
Class 10 Maths Exercise 3.2 in English
Class 10 Maths Exercise 3.3 in English


Class 10 Maths Chapter 3 in English for State Board
Class 10 Maths Exercise 3.1 in English
Class 10 Maths Exercise 3.2 in English
Class 10 Maths Exercise 3.3 in English
Class 10 Maths Exercise 3.4 in English
Class 10 Maths Exercise 3.5 in English
Class 10 Maths Exercise 3.6 in English
Class 10 Maths Exercise 3.7 in English


Class 10 Maths Chapter 3 in Hindi Medium
Class 10 Maths Exercise 3.1 in Hindi
Class 10 Maths Exercise 3.2 in Hindi
Class 10 Maths Exercise 3.3 in Hindi
Main Topics of Class 10 Maths 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.

NCERT Solutions for Class 10 Maths Chapter 4 – Quadratic Equations

Class 10 Maths chapter 4 provides help to know about the standard form of writing a quadratic equation.
Class 10 Maths Chapter 4 in English for CBSE Board
Class 10 Maths Exercise 4.1 in English
Class 10 Maths Exercise 4.2 in English
Class 10 Maths Exercise 4.3 in English


Class 10 Maths Chapter 4 in English for State Board
Class 10 Maths Exercise 4.1 in English
Class 10 Maths Exercise 4.2 in English
Class 10 Maths Exercise 4.3 in English
Class 10 Maths Exercise 4.4 in English


Class 10 Maths Chapter 4 in Hindi Medium
Class 10 Maths Exercise 4.1 in Hindi
Class 10 Maths Exercise 4.2 in Hindi
Class 10 Maths Exercise 4.3 in Hindi
Class 10 Maths Chapter 4 Quadratic Equations Topics
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.

NCERT Solutions for Class 10 Maths Chapter 5 – Arithmetic Progressions

Class 10 Maths chapter 5 introduces new topic that is Arithmetic Progression which is also known as A.P. Its importance carry on in next classes also.
Class 10 Maths Chapter 5 in English CBSE and State Board
Class 10 Maths Exercise 5.1 in English
Class 10 Maths Exercise 5.2 in English
Class 10 Maths Exercise 5.3 in English
Class 10 Maths Exercise 5.4 in English


Class 10 Maths Chapter 5 in Hindi Medium
Class 10 Maths Exercise 5.1 in Hindi
Class 10 Maths Exercise 5.2 in Hindi
Class 10 Maths Exercise 5.3 in Hindi
Class 10 Maths Exercise 5.4 in Hindi
Class 10 Maths Chapter 5 Arithmetic Progressions Topics for Board Exams
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.

NCERT Solutions for Class 10 Maths Chapter 6 – Triangles

In Class 10th Maths chapter 6, learn about study those figures which have the same shapes but not necessarily the same size.
Class 10 Maths Chapter 6 in English for CBSE Board
Class 10 Maths Exercise 6.1 in English
Class 10 Maths Exercise 6.2 in English
Class 10 Maths Exercise 6.3 in English


Class 10 Maths Chapter 6 in English for State Board
Class 10 Maths Exercise 6.1 in English
Class 10 Maths Exercise 6.2 in English
Class 10 Maths Exercise 6.3 in English
Class 10 Maths Exercise 6.4 in English
Class 10 Maths Exercise 6.5 in English
Class 10 Maths Exercise 6.6 in English


Class 10 Maths Chapter 6 in Hindi Medium
Class 10 Maths Exercise 6.1 in Hindi
Class 10 Maths Exercise 6.2 in Hindi
Class 10 Maths Exercise 6.3 in Hindi
Class 10 Maths Chapter 6 Triangles Topics to be Covered
Definitions, examples, counter examples of similar triangles.
Only Theorem 1, (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) can be asked for proof in class 10 Maths board exams 2024-25. Rest will be used for concepts to apply in questions solving.
Theorem 2: If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. (Motivate)
Theorem 3: If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. (Motivate)
Theorem 4: If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. (Motivate)
Theorem 5: 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. (Motivate)

NCERT Solutions for Class 10 Maths Chapter 7– Coordinate Geometry

Class X Maths chapter 7 explains that how to find the distance between two points if the coordinates are given.
Class 10 Maths Chapter 7 in English for CBSE Board
Class 10 Maths Exercise 7.1 in English
Class 10 Maths Exercise 7.2 in English


Class 10 Maths Chapter 7 in English for CBSE Board
Class 10 Maths Exercise 7.1 in English
Class 10 Maths Exercise 7.2 in English
Class 10 Maths Exercise 7.3 in English
Class 10 Maths Exercise 7.4 in English


To prepare for Class 10 Maths using Tiwari Academy online educational platform, visit the website and navigate to the Class 10 Maths NCERT solutions section and the relevant resource area.
Class 10 Maths Chapter 7 in Hindi Medium
Class 10 Maths Exercise 7.1 in Hindi
Class 10 Maths Exercise 7.2 in Hindi
Class 10 Maths Solutions Chapter 7 Coordinate Geometry Main Points to Study
Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

NCERT Solutions for Class 10 Maths Chapter 8 – Introduction to Trigonometry

Get here 10th Maths chapter 8 provided by the Maths expert of Tiwari Academy.
Class 10 Maths Chapter 8 in English for CBSE Board
Class 10 Maths Exercise 8.1 in English
Class 10 Maths Exercise 8.2 in English
Class 10 Maths Exercise 8.3 in English


Class 10 Maths Chapter 8 in English for State Board
Class 10 Maths Exercise 8.1 in English
Class 10 Maths Exercise 8.2 in English
Class 10 Maths Exercise 8.3 in English
Class 10 Maths Exercise 8.4 in English


Class 10 Maths Chapter 8 in Hindi Medium
Class 10 Maths Exercise 8.1 in Hindi
Class 10 Maths Exercise 8.2 in Hindi
Class 10 Maths Exercise 8.3 in Hindi
Class 10 Maths Chapter 8 Introduction to Trigonometry Topics for Session 2024-25
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 30°, 45°, and 60°. Relationships between the ratios. Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given.

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

Learn here the different ways to solve Class 10 Maths chapter 9 questions using diagrams. In Chapter 9, Some Applications of Trigonometry, the focus on height and distance helps students grasp concepts and confidently apply them in exams.

Class 10 Maths Chapter 9 in English for CBSE and State Board
Class 10 Maths Exercise 9.1 in English


Class 10 Maths Chapter 9 in Hindi Medium
Class 10 Maths Exercise 9.1 in Hindi
Class 10 Maths Chapter 9 Applications of Trigonometry Focus Points
Angle of elevation, Angle of Depression. 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°.

NCERT Solutions for Class 10 Maths Chapter 10 Circles

Find here the best Class 10 Maths chapter 10 solutions explained through figures and diagrams. Chapter 10 of Class 10 Maths covers two key topics: the tangent at any point of a circle and the lengths of tangents drawn from an external point to the circle. These concepts are explained clearly, making it easier for students to understand and apply them in problem-solving. Perfect for exam preparation and concept clarity.
Class 10 Maths Chapter 10 in English for CBSE and State Board
Class 10 Maths Exercise 10.1 in English
Class 10 Maths Exercise 10.2 in English


Class 10 Maths Textbook Solution Chapter 10 in Hindi Medium
Class 10 Maths Exercise 10.1 in Hindi
Class 10 Maths Exercise 10.2 in Hindi
The Main points of Class 10 Maths 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.

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

Download Class 10 Maths chapter 11 to learn about two dimensional figures areas. Class 10 Maths Solutions, created by expert Maths teachers, ensure accuracy and clarity. Chapter 11 covers three key topics, helping students gain a strong understanding and prepare effectively for exams.
Class 10 Maths Chapter 11 in English for CBSE Board
Class 10 Maths Exercise 11.1 in English


Class 10 Maths Chapter 11 in English for State Boards
Class 10 Maths Chapter 11 Exercise 11.1
Class 10 Maths Chapter 11 Exercise 11.2


Class 10 Maths Chapter 11 in Hindi Medium
Class 10 Maths Exercise 11.1 in Hindi
Course for Class 10 Maths Chapter 11 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.

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

There are a total of five exercises in Class 10 Maths chapter 12. Learn how to find the surface area of shapes like cuboids, cones, spheres, cylinders and hemispheres in Class 10 Maths Chapter 12. Tiwari Academy’s solutions provide all the necessary information, making it easy for students to understand and solve these problems effectively. Perfect for thorough exam preparation and concept mastery.
Class 10 Maths Chapter 12 in English for CBSE Board
Class 10 Maths Exercise 12.1 in English
Class 10 Maths Exercise 12.2 in English


Class 10 Maths Chapter 12 in English for State Boards
Class 10 Maths Chapter 12 Exercise 12.1
Class 10 Maths Chapter 12 Exercise 12.2
Class 10 Maths Chapter 12 Exercise 12.3


Class 10 Maths Chapter 12 in Hindi Medium
Class 10 Maths Exercise 12.1 in Hindi
Class 10 Maths Exercise 12.2 in Hindi
Class 10 Maths Chapter 12 Surface Areas and Volumes Syllabus
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

NCERT Solutions for Class 10 Maths Chapter 13 Statistics

All the exercises of Class 10 Maths chapter 13 are explained in Hindi and English Medium. Class 10 Maths Chapter 13, Statistics, covers cumulative frequency, cumulative frequency distribution and drawing frequency curves and graphs.
Class 10 Maths Chapter 13 in English for CBSE Board
Class 10 Maths Exercise 13.1 in English
Class 10 Maths Exercise 13.2 in English
Class 10 Maths Exercise 13.3 in English


Class 10 Maths Chapter 13 for State Boards
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 13 Exercise 13.5


Class 10 Maths Chapter 13 in Hindi Medium
Class 10 Maths Exercise 13.1 in Hindi
Class 10 Maths Exercise 13.2 in Hindi
Class 10 Maths Exercise 13.3 in Hindi
Curriculum for Class 10 Maths Chapter 13 Statistics
Mean, median and mode of grouped data (bimodal situation to be avoided).

Download NCERT Solutions for Class 10 Maths – Updated Syllabus Chapter 14 Probability

Class 10 Maths chapter 14 describe the concepts of Probability, building on the basics learned in previous classes. Chapter 14 begins with a review of probability, covering core concepts and simple problems to boost understanding. Ideal for strengthening exam prep and enhancing practical problem-solving skills.
Class 10 Maths Chapter 14 in English for CBSE Board
Class 10 Maths Exercise 14.1 in English


Class 10 Maths Chapter 14 in English for State Boards
Class 10 Maths Chapter 14 Exercise 14.1
Class 10 Maths Chapter 14 Exercise 14.2
Class 10 Maths Chapter 14 Exercise 14.3
Class 10 Maths Chapter 14 Exercise 14.4


Class 10 Maths Chapter 14 in Hindi Medium
Class 10 Maths Exercise 14.1 in Hindi
Class 10 Maths Chapter 14 Probability Focus Points
Classical definition of probability. Simple problems on finding the probability of an event.

Preparation of Mathematics in Class 10 Study

Class 10 Maths NCERT Solutions with Step-by-Step Explanations: The solved examples help students to get a clear idea of the concepts given in exercises. Our experts have created Detailed NCERT Solutions for Class 10 Maths: Easy-to-Understand Explanations that are simplified to learn according to the given examples. It is made as per the latest 2024-25 CBSE Syllabus and Marking scheme.


Free Access to NCERT Solutions for Class 10 Maths for the first and second term are given here for new curriculum which are prescribed by the NCERT – National Council of Educational Research and Training (https://ncert.nic.in/).

How to study Class 10 Maths using NCERT Solutions?

Find the latest NCERT Solutions for Class 10 Maths: Chapter-wise Free PDF Downloads, updated for the 2024-25 exams, right here. A well-organized study plan using Math NCERT Solution is key to mastering Class 10 Mathematics. Regular practice, consistency and a clear understanding of fundamental concepts are essential for exam success. Follow this structured study plan, stay committed and learn How to Use NCERT Solutions for Class 10 Maths for Exam Preparation. Here’s a step-by-step guide to help you achieve top scores in your exams.

Step 1: Understand the Syllabus, Gather Resources like Books and Study Material.

Step 1: Understand the Syllabus, Gather Resources like Books and Study Material. Review the CBSE Class 10 Maths NCERT Solutions: Step-by-Step Guide for Every Chapter with syllabus for 2024-25 to understand the topics and unit-wise weightage. Pinpoint areas where you might need extra practice or guidance. NCERT Class 10 Maths Solutions PDF: Download for Free textbook and Exercises Solutions from Tiwari Academy as your main study tools. You can also consider additional reference books if needed. Set clear and achievable goals for your Class 10 Math preparation, like completing specific chapters or solving a set number of practice problems each week. Create a daily study schedule that dedicates time to Mathematics—consistency is key to success.

Step 2: Start with Basics, use NCERT Solutions and Take Notes of Important Terms.

Step 2: Start with Basics, use NCERT Solutions and Take Notes of Important Terms.Start by thoroughly reading each chapter with Benefits of Using NCERT Solution for Class 10 Maths in Board Exams. Focus on grasping the fundamental concepts and principles. Ensure you maintain a balance between learning new concepts, practicing problems and reviewing previous topics. After completing a chapter, solve the examples and exercises provided in the textbook. Use Chapter-wise NCERT Solutions for Class 10 Maths with Practice Questions to verify your answers, understand the correct solutions and clear any doubts. As you study, make concise notes of important formulas, theorems and key points. These notes will be invaluable for quick revision and preparing for exams efficiently.

Step 3: Focus on Regular Practice, Self-Assessment and Seek Clarification.

Step 3: Focus on Regular Practice, Self-Assessment and Seek Clarification. Consistent practice is essential for excelling in Math. Go beyond the textbook by solving additional problems and Class 10 Maths NCERT Solutions: Expert-Solved Exercises for Top Scores. Use NCERT supplementary materials, such as exemplar problems, available at Tiwari Academy. Regularly evaluate your progress by taking mock tests, solving sample papers and working through previous years’ question papers. Identify your mistakes and weak areas, then focus on improving them. If you struggle with certain concepts or problems, don’t hesitate to seek help from teachers, tutors or online resources for clarification.

Step 4: Practice Time Management, Stay Healthy, make Revision and Review of course.

Step 4: Practice Time Management, Stay Healthy, make Revision and Review of course. During practice tests or exam simulations, focus on time management to ensure you can finish the paper within the given time. Regularly revise the topics you’ve studied to strengthen your understanding. Master Class 10 Maths with NCERT Solutions: A Comprehensive Resource for quick revision and to clear any doubts. Maintain a balanced lifestyle with adequate sleep, proper nutrition and regular exercise, as a healthy body and mind are vital for effective learning. Stay positive, even when facing difficult topics—confidence in your abilities is key to achieving success.

Step 5: Maintain the practice time daily for Maths revision during Final Exam Preparation.

Step 5: Maintain the practice time daily for Maths revision during Final Exam Preparation. Maths is a crucial subject in Class 10 and demands consistent practice to build confidence. Students should dedicate a daily time slot specifically for Maths revision. In the weeks before final exams, focus on comprehensive revision and solve plenty of practice papers. Regular practice boosts confidence and makes Maths easier to tackle. Be mindful of common mistakes and aim to avoid them in the actual exam. With the reduced syllabus for the new academic session, students can now easily learn and revise all the key concepts with FAQs About NCERT Solutions for Class 10 Maths: Everything You Need to Know.

What should be the revision strategy for the Class 10 Board Maths exam?

A strong revision strategy for the Class 10 Maths exam should focus on reviewing key concepts, formulas, and high-weightage chapters. Begin by regularly going over your notes, solved examples, and important formulas to reinforce understanding. To maximize efficiency, allocate specific time to cover both your strengths and areas needing improvement, with extra attention to challenging topics to build confidence.


Managing your time well is essential. Practice difficult questions to strengthen weaker areas and develop a balanced approach. Additionally, solving sample papers and previous years’ question papers under timed, exam-like conditions can significantly enhance your preparation. This practice helps improve accuracy and speed, crucial factors for success in the exam. Review any mistakes made during practice sessions to avoid them on exam day.


Consistency is the foundation of effective revision. Prioritize steady progress on weak areas, but remember to take regular breaks for relaxation, ensuring focus and mental clarity on the exam day.

What types of questions are asked in Class 10 Maths board exam?

In the Class 10 Maths board exam, students can expect a variety of question types, each designed to test different levels of understanding and application. Here’s a breakdown of the common types:
Multiple Choice Questions (MCQs): Short questions with four options, requiring students to choose the correct answer. These test quick recall and basic understanding.
Very Short Answer (VSA) Questions: Typically require one or two-step solutions. These assess fundamental knowledge and clarity of concepts.
Short Answer (SA) Questions: These involve a few steps and often cover straightforward calculations or applications of formulas.
Long Answer (LA) Questions: These require detailed, step-by-step solutions and often involve multi-step calculations, especially in topics like Algebra, Geometry, and Trigonometry. They assess in-depth understanding and application.
Case-Based Questions: These questions present a real-life situation or problem, followed by related questions. They evaluate analytical thinking and application of concepts in practical scenarios.
Diagram/Graph-Based Questions: Often appear in Geometry and Statistics, asking students to create or interpret graphs, charts, or diagrams.
These question types ensure students can handle both fundamental concepts and complex problem-solving, covering a range of skills needed for the exam.

Which is the best book for Class 10 Maths board exam preparation?

The NCERT textbook for Class 10 Maths is the primary book for both Basic and Standard courses, essential for thorough board exam preparation. It serves as the best reference book, clarifying all concepts likely to be tested in the exam. Since the board exam question paper is strictly based on the NCERT textbook, it is crucial to practice this book thoroughly to achieve better scores.
To prepare for CBSE board exams, focus on these five main key points:

    1. Use Class 10 Maths NCERT textbook on the latest syllabus only.
    2. Solve previous years’ like questions from 10th Maths NCERT.
    3. Create and follow a structured practice timetable for Maths.
    4. Concentrate on NCERT textbooks for 10th Mathematics to learn fundamental concepts.
    5. Regularly revise the previous exercises to be confident in learning.

What is the difference between Basic and Standard Maths in Class 10?

The main difference between Basic and Standard Maths in Class 10 is the exam’s difficulty level. Standard Maths is for students planning to study Maths further, including advanced concepts and challenging, application-based problems, requiring a deeper grasp of the subject.


Basic Maths, on the other hand, is for those not continuing with Maths after Class 10. It has a simpler syllabus with easier questions, focusing on fundamental concepts without the added complexity. Both options let students score well, but Standard Maths builds a stronger foundation for future Maths-related studies, while Basic Maths covers essential concepts in a simpler format.

How can I remember all the formulas in Class 10 Maths?

To remember all the formulas in Class 10 Maths, it’s important to focus on regular practice and revision. Creating formula charts and flashcards can be helpful in quick revision. Write down the formulas and place them in areas where you frequently study, allowing for constant reinforcement. Visual learning techniques like mind maps and diagrams can also aid in retention.
Regularly solving problems using these formulas will help reinforce them in your memory. Instead of memorising formulas mechanically, understand their derivations and applications. This understanding will make it easier to recall them during the exam. Repeating this process daily will ensure that you retain the key formulas effectively.

How to Simplify Learning Class 10 Maths?

CBSE aims to offer a balanced mix of easy and challenging questions to assess all types of students. The Class 10 Maths paper provides a good opportunity to score well, though it can be slightly difficult to achieve the highest marks. So, CBSE Class 10 Maths Exam is neither too easy nor to tough.
Follow the points given here to make your Maths learning easy in Class 10:

    1. Understand Fundamentals: Understand the basic concepts and go through the examples given before each exercise and then move to solve Exercises.
    2. Daily Practice: Regular Practice makes class 10 Maths more comfortable and enhance familiarity with mathematical topics and skill.
    3. Practice with Graphs: Use graphs papers, in chapter 3, to get solutions, draw diagrams in chapter 6, 7 and other chapters like areas related to circle and surface areas and volumes.
    4. Ask Questions: Always clarify doubts with teachers to avoid confusion. Students can ask question through Discussion Forum to get answers by subject experts.
    5. Group Discussion: Group study or group discussion is one of the best method to explore the concepts behind Maths topics. Group study provides a better way to revised and learn many new tricks to solve the same questions.

Is Class 10 Maths difficult?

Class 10 Maths can seem challenging for some students, but with the right approach and consistent practice, it becomes manageable. The syllabus covers a wide range of topics, from Algebra and Geometry to Trigonometry and Probability, which require both conceptual understanding and application skills. The key to overcoming any difficulty lies in understanding the core concepts and practicing regularly to gain confidence in solving problems.
For students who struggle with Maths, breaking down problems into simpler steps and focusing on understanding each concept thoroughly can make the subject easier. Using resources like NCERT books, sample papers and online tutorials, available on Tiwari Academy, can also provide extra support. With consistent practice and proper guidance, students can overcome the difficulty and excel in the subject.

How can I improve my problem-solving speed in Maths?

Improving problem-solving speed in Maths requires consistent practice and familiarity with different types of questions. Start by timing yourself while solving previous years’ question papers and sample papers to simulate exam conditions. Break down each problem into smaller steps to enhance efficiency. Focus on mental math techniques and shortcut methods that reduce calculation time while maintaining accuracy.
Work on your weaker areas, as struggling with tough concepts can slow you down during the exam. Regularly revising formulas and practicing quick mental calculations will help. Use mock tests to assess your performance under timed conditions and gradually, your speed and accuracy will improve as you become more familiar with various question types.

Which textbook is best for Class 10 Maths board exam preparation?

NCERT is the best study material for Class 10 Maths, making it easier for students to score 90+ marks in the board exams. After completing the NCERT textbook, it’s important to review questions from the NCERT Exemplar book for additional practice. Once done, students should move on to practice papers and extra reference books. Here are five of the best options for boosting exam preparation:

    1. NCERT Mathematics Textbook: NCERT books are designed to align directly with the CBSE curriculum, making them an essential study resource. This book provides a strong foundation in concepts, which is helpful for higher education.
    2. R.D. Sharma Mathematics for Class 10: It is Known for its extensive and exhaustive coverage of topics. It Includes a wide range of problems, from basic to challenging, helping students prepare for all types of exam questions.
    3. R.S. Aggarwal Mathematics for Class 10: It Focuses on enhancing conceptual understanding which is crucial for tackling application-based questions. It Offers graded exercises that help reinforce learning.
    4. Full Marks Mathematics for Class 10: It Contains sample papers and previous year questions which are great for exam preparation. It provides explanations that are easy to understand, making complex topics more accessible.
    5. Oswaal Sample Question Papers for Class 10 Maths: It Includes sample papers designed according to the latest examination patterns. It has self-assessment tools to help students evaluate their preparation level.

Which chapters are the most important for the Class 10 Maths board exam?

Some of the most important chapters for the Class 10 Maths board exam include Trigonometry, Quadratic Equations and Coordinate Geometry. These chapters frequently carry a significant weightage in the exam and often contain tricky, application-based questions. The weightage is given at the top of this page. Algebra, including Linear Equations and Polynomials, is another important area that requires a strong grasp of formulas and problem-solving techniques.
Statistics, Probability and Circles are also essential chapters, with direct and relatively straightforward questions. While all chapters are important, focusing on these high-weightage topics can help you score better. Make sure you practice multiple types of questions from these chapters to strengthen your understanding and tackle them confidently in the exam.

How to solve the toughest Chapters In Class 10 Maths?

Most of the chapters in NCERT Textbook 2024-25 are easy to solve for even an average student. Few chapters are there which is considered as difficult one by a fraction of students only. The students found difficulty in some chapters in Class 10 Maths syllabus such as: 

  • Chapter 6: Triangles
  • Chapter 8: Trigonometry
  • Chapter 9: Application of trigonometry
  • Chapter 10: Circle
  • Chapter 12: Surface area and volume

Doing practice well these above chapters then you can feel easier than before. Make sure you revised these difficult topics about 3-4 times before the exam. 

Is Class 10 Maths easy?

Class 10 Maths can be easy or challenging depending on how well students understand the concepts and practice regularly. For students who focus on the NCERT textbook, which is the foundation of the CBSE syllabus, the subject becomes more manageable. The key is to pay attention to each chapter, practice the problems thoroughly and clear any doubts as they arise. With concepts like algebra, geometry and trigonometry, consistency in solving examples helps build confidence.
On the other hand, some topics like mensuration and probability may seem difficult but with regular practice and understanding, they can be simplified. Utilising extra resources such as NCERT Exemplar and practice papers will help reinforce learning. In conclusion, Class 10 Maths is not inherently hard; it just requires dedication and proper study techniques. With the right approach and continuous effort, students can excel in the subject and score well in their board exams.

How can I score 90+ marks in Class 10 Maths?

To score 90+ marks in Class 10 Maths, consistent practice and a deep understanding of concepts are crucial. Start by thoroughly completing the NCERT book, as most questions in the board exams are based on its content. Focus on understanding the reasoning behind each formula and solution instead of rote learning. Practice solving previous years’ papers and sample papers within the time limit to get comfortable with the exam pattern and time management.
Additionally, identify the chapters where you are weak and devote extra time to mastering those areas. Use reference books for extra practice, especially for tricky problems. Revision should be a regular part of your study plan. Take mock tests to evaluate your performance and focus on improving your problem-solving speed and accuracy to maximise your score.

Are the standard of CBSE 10th Maths Papers little bit higher than the usual school papers?

The question papers in CBSE Board exams are design in such a way, it is good for all type of students. The pattern of 10th Standard Board Examination is very simple to do and very easy to understand. But most of the people may misguide you a fear unnecessarily and do practice all the syllabus thoroughly, and you definitely score optimum marks in Class 10 Board Exam.
Qualities of Class 10 Maths Standard Question Paper:

    1. CBSE papers are designed to test students on the entire syllabus. They include a variety of problem types, from basic to higher-order thinking questions.
    2. The CBSE often emphasizes application-based and conceptual questions, which require a deeper understanding of mathematical concepts and their real-world applications.
    3. The marking schemes in CBSE exams are strict and detailed, with specific steps needing to be followed to score full marks. If schools be lenient in their marking, then it will lead to students finding CBSE papers tougher.

What is the importance of the NCERT book for Class 10 Maths board exams 2024-25?

The NCERT book for Class 10 Maths is considered the backbone for board exam preparation. It provides a clear and structured explanation of concepts aligned with the CBSE syllabus. Each chapter is designed to build a solid foundation in mathematical concepts, which is essential for problem-solving in board exams. Additionally, most questions in the board exam 2024-25 are directly or indirectly based on NCERT exercises, making it a critical resource for scoring well.
Moreover, the NCERT book includes various examples and practice exercises that help students understand complex problems step by step. It follows a simple yet comprehensive language that ensures clarity in concepts. Regular practice from the NCERT book helps students develop the analytical and reasoning skills required for the board exams. It also ensures students are well-versed with the format of the exam, increasing their confidence.

CBSE Syllabus for Class 10 Maths
CBSE Syllabus for Class 10 Maths 2024-25
CBSE Syllabus for Class 10 Maths 2025
CBSE Syllabus for Class 10 Maths 2024 25
CBSE Syllabus for Class 10 Maths 2024 2025
Last Edited: December 19, 2024
Content Reviewed: December 19, 2024
Content Reviewer

Sushant Mukherjee

Providing help in science for class 6 to 10. Adviser in Tiwari Academy for the science related subjects subject as well as videos contents. Ample teaching experience in schools. I am not only working for Tiwari Academy but also provide new ideas for the website and apps.