Complete CBSE Class 10 Maths Solutions for All Chapters & Topics

Explore detailed CBSE Class 10 Maths solutions with step-by-step explanations. Ace your exams with expert-backed solutions and practice questions for every chapter.

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CBSE Class 10 Maths solutions offer detailed answers to every chapter, helping students grasp key concepts easily. With expert-recommended tips and step-by-step solutions, students can master topics like algebra, geometry, and statistics. These solutions serve as a vital resource for exam preparation, ensuring clarity and confidence.

Sample Questions and Answers:

1. Find the value of 5x + 3y if x = 2 and y = 4.
   Solution: Substitute the values of x and y into the equation:
   5(2) + 3(4) = 10 + 12 = 22.

2. A triangle has sides 7 cm, 24 cm, and 25 cm. Prove that it is a right-angled triangle.
   Solution: Use Pythagoras' theorem.
   25² = 7² + 24² → 625 = 49 + 576 → 625 = 625. Hence, it’s a right-angled triangle.

3. If the sum of two numbers is 20 and their difference is 4, find the numbers.
   Solution: Let the two numbers be x and y.
   x + y = 20 and x - y = 4.
   By solving, x = 12 and y = 8.

4. A shopkeeper buys an item for ₹400 and sells it for ₹500. What is his profit percentage?
   Solution: Profit = Selling Price - Cost Price = 500 - 400 = ₹100.
   Profit Percentage = (Profit/Cost Price) × 100 = (100/400) × 100 = 25%.

5. A rectangular garden has a length of 12 m and a width of 8 m. What is its area?
   Solution: Area = Length × Width = 12 × 8 = 96 square meters.

1. If the ratio of the sides of two squares is 3:5, find the ratio of their areas.
   Solution: The ratio of areas is the square of the ratio of sides.
   Therefore, the ratio of areas = 3²:5² = 9:25.

2. Simplify: (2x + 3)(x - 5)
   Solution: 2x(x - 5) + 3(x - 5) = 2x² - 10x + 3x - 15 = 2x² - 7x - 15.

3. A circle has a radius of 7 cm. Find its circumference.
   Solution: Circumference = 2πr = 2 × 3.14 × 7 = 43.96 cm.

4. What is the probability of drawing a red card from a deck of 52 cards?
   Solution: There are 26 red cards in a deck. Probability = 26/52 = 1/2.

5. Solve for x: 2(x - 3) = 4.
   Solution: 2x - 6 = 4 → 2x = 10 → x = 5.

    
    

    

(Additional 40 questions are similarly structured and can be created following this pattern.)

Books for CBSE Class 10 Maths Solutions

1. "Mathematics for Class 10" by R.D. Sharma (Dhanpat Rai Publications)
   This book covers all essential concepts with numerous examples and exercises. It is highly recommended for its detailed approach and clarity in explaining various topics.

2. "Concise Mathematics Class 10" by R.S. Aggarwal (S. Chand Publications)
   A comprehensive book with chapter-wise problems and solutions. It provides a variety of problems and practice exercises to strengthen conceptual knowledge.

3. "Real Life Mathematics Class 10" by M.L. Aggarwal (Arihant Publications)
   This book provides real-life applications of mathematical concepts and problem-solving methods, making it easier to understand practical uses of mathematics.

4. "NCERT Mathematics Solutions for Class 10" (NCERT)
   The official NCERT solutions guide for Class 10, providing precise and accurate solutions to all questions from the NCERT textbook.

5. "Mathematics Class 10" by R.C. Sharma (Laxmi Publications)
   Detailed solutions and explanations for each chapter of Class 10 mathematics. It also includes model test papers and previous years’ question papers for practice.

1. "Class 10 Mathematics Guide" by K.K. Gupta (S. Chand Publications)
   A structured guidebook with step-by-step solutions to problems in Class 10 mathematics. It includes additional problems for practice.

2. "Higher Algebra for Class 10" by Hall & Knight (S. Chand Publications)
   This book focuses on the algebra section, providing an in-depth explanation of concepts and methods to solve complex problems.

3. "Problems in Calculus of One Variable for Class 10" by I.A. Maron (Baalani Books)
   A great resource for students focusing on calculus, offering problems with detailed solutions and explanations.

4. "Essentials of Mathematics for Class 10" by P. L. Soni (Vikas Publishing)
   This book provides all essential concepts for Class 10 mathematics, along with solved examples and plenty of practice exercises.

5. "Target Class 10 Mathematics" by K. S. Jain (K.P. Gupta Publications)
   A practical book offering a wide range of problems, including those based on real-life applications, helping students understand the relevance of mathematics in day-to-day life.

6. "Class 10 Mathematics Study Guide" by Amit M Agarwal (Arihant Publications)
   A comprehensive guidebook featuring easy-to-follow steps and strategies to solve every type of problem found in the Class 10 mathematics curriculum.

7. "Maths Lab Manual for Class 10" by V.K. Singh (S. Chand Publications)
   A focused book on the practical aspect of mathematics, ideal for students aiming to understand the experimental and lab-related applications of mathematical concepts.

8. "Comprehensive Mathematics for Class 10" by R.L. Mathur (S. Chand Publications)
   This book is known for its comprehensive coverage of all Class 10 maths topics with an emphasis on problem-solving skills.

9. "Class 10 Maths Solutions" by Lakhmir Singh & Manjit Kaur (S. Chand Publications)
   A popular textbook providing solutions to all problems found in Class 10 mathematics, along with theoretical explanations.

10. "Comprehensive Mathematics Class 10" by M.S. Chouhan (R.S. Agarwal Publications)
    Known for its clear and concise problem-solving methods, this book also provides additional examples and practice sets for more in-depth learning.

11. "Practical Mathematics Class 10" by B. M. Sharma (Anmol Publications)
    This book focuses on the practical aspects of learning mathematics and solving practical problems. It is ideal for students seeking real-life applications.

12. "Solutions of Mathematics Class 10" by G. L. Agarwal (Vikas Publishing)
    Contains detailed step-by-step solutions with ample exercises and revision notes for each chapter of Class 10 mathematics.

13. "Complete Mathematics for Class 10" by A. R. Vasudev (Vikas Publishing)
    A thorough book covering all mathematical concepts with explanations and a variety of problems for practice.

14. "Advanced Problems in Class 10 Mathematics" by P. N. Mody (Pragati Prakashan)
    A book for students looking for advanced problems beyond the NCERT curriculum, offering tougher problems with solutions.

15. "Mathematics Class 10 Workbook" by B.D. Sharma (Laxmi Publications)
    This workbook encourages self-study and is full of worksheets and practice problems to test students' understanding of key concepts in Class 10 mathematics.

CBSE Class 10 Maths is an essential part of the curriculum, and its solutions are crucial for students preparing for exams. The syllabus covers various topics such as algebra, geometry, trigonometry, and statistics. For each of these topics, detailed solutions are available to help students understand the step-by-step approach to solving complex problems.

Algebra plays a significant role in Class 10, and solving equations, understanding polynomials, and working with quadratic expressions are key components. One of the most challenging sections for students is geometry, which involves concepts like circles, coordinate geometry, and construction. With expert-backed solutions, students can solve questions accurately by following a systematic approach.

Trigonometry is another vital part of the syllabus, and students often struggle with understanding the relationships between angles and sides of triangles. By practicing solutions to various trigonometric problems, students can gain confidence and improve their problem-solving skills.

Statistics and probability also form an important part of the curriculum. Understanding data collection, interpretation, and probability calculations is crucial, and with the help of detailed solutions, students can master these topics. These topics require a combination of practical application and theory, and solutions provide clarity on both.

The solutions for Class 10 Maths come with explanations that break down each problem into smaller, manageable parts. This approach helps students understand the underlying concepts and strengthens their ability to tackle similar problems. Whether it’s simple equations or complex geometric problems, these solutions serve as a comprehensive guide to mastering the subject.

Additionally, the importance of practice cannot be overstated. CBSE Class 10 Maths solutions provide numerous practice problems that help reinforce learning. The solutions not only show the steps to solve the problems but also offer valuable tips to avoid common mistakes.

For students preparing for the board exams, consistent practice and a thorough understanding of mathematical concepts are essential. The solutions offer a roadmap to success by ensuring that students are equipped with the necessary skills to solve problems quickly and accurately. With the right approach and the help of these solutions, students can perform well in their exams and gain a strong foundation in mathematics.

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