CBSE Class 10 Maths Solutions: Comprehensive Answer Guide for Students

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CBSE Class 10 Maths Solutions provide students with detailed, step-by-step explanations for all topics. These solutions help clarify complex concepts and improve problem-solving skills. By practicing regularly, students can enhance their understanding and perform well in exams. Expert-backed, these solutions are key to mastering Class 10 Maths efficiently.

CBSE Class 10 Maths Solutions: Questions and Answers

1. What is the value of x if 2x + 5 = 15?
   Answer: To solve for x, subtract 5 from both sides to get 2x = 10. Then, divide by 2 to get x = 5.

2. If a triangle has angles of 30°, 60°, and 90°, what type of triangle is it?
   Answer: This is a right-angled triangle because one angle measures 90°.

3. Find the area of a circle with a radius of 7 cm.
   Answer: The area of a circle is calculated using the formula πr². So, the area = π * 7² = 49π cm².

4. What is the perimeter of a rectangle with length 12 cm and width 5 cm?
   Answer: The perimeter of a rectangle is calculated by adding twice the length and twice the width: 2(12 + 5) = 34 cm.

5. What is the solution to the equation 3y – 4 = 14?
   Answer: Add 4 to both sides to get 3y = 18. Then divide by 3 to find y = 6.

1. A person invests ₹5000 at an interest rate of 5% per annum. What is the amount after 2 years?
   Answer: Use the formula for simple interest: A = P(1 + rt). A = 5000(1 + 0.05 * 2) = ₹5500.

2. What is the volume of a cube with side length 4 cm?
   Answer: The volume of a cube is side³, so the volume = 4³ = 64 cm³.

3. Simplify the expression: 2x + 3x – 5.
   Answer: Combine like terms to get 5x – 5.

4. If the sides of a square are 8 cm, what is the area?
   Answer: The area of a square is side². So, the area = 8² = 64 cm².

5. How many sides does a regular hexagon have?
   Answer: A regular hexagon has 6 sides.

6. What is the product of 3 and 7?
   Answer: The product is 21.

1. If the base of a triangle is 10 cm and its height is 5 cm, what is the area?
   Answer: The area of a triangle is calculated by the formula (1/2) * base * height. So, the area = (1/2) * 10 * 5 = 25 cm².

2. Solve for x: 4x – 7 = 13.
   Answer: Add 7 to both sides to get 4x = 20. Then divide by 4 to get x = 5.

3. What is the hypotenuse of a right triangle with legs of lengths 3 cm and 4 cm?
   Answer: Use the Pythagorean theorem: a² + b² = c². So, 3² + 4² = c², which gives c² = 9 + 16 = 25, so c = 5 cm.

4. If a car travels 60 km in 2 hours, what is its average speed?
   Answer: The average speed is distance/time. So, the average speed = 60/2 = 30 km/h.

5. Find the surface area of a cube with side length 5 cm.
   Answer: The surface area of a cube is 6 * side². So, the surface area = 6 * 5² = 150 cm².

6. How many degrees are in a straight line?
   Answer: A straight line measures 180°.

7. What is the LCM of 12 and 18?
   Answer: The LCM of 12 and 18 is 36.

8. What is the sum of the interior angles of a quadrilateral?
   Answer: The sum of the interior angles of a quadrilateral is 360°.

9. What is the square root of 49?
   Answer: The square root of 49 is 7.

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Additional Questions for CBSE Class 10 Maths

21. Simplify: 5(x + 3) – 2x.
    Answer: Distribute 5 to get 5x + 15 – 2x. Simplify to get 3x + 15.

22. What is the perimeter of a square with a side of 6 cm?
    Answer: The perimeter of a square is 4 * side. So, the perimeter = 4 * 6 = 24 cm.

23. If the diameter of a circle is 14 cm, what is its circumference?
    Answer: The circumference of a circle is πd. So, the circumference = π * 14 = 44 cm (approx).

24. A cylindrical container has a radius of 3 cm and a height of 10 cm. What is its volume?
    Answer: The volume of a cylinder is πr²h. So, the volume = π * 3² * 10 = 90π cm³.

25. What is the median of the numbers 5, 8, 12, 15, 20?
    Answer: Arrange the numbers in order: 5, 8, 12, 15, 20. The median is the middle number, so the median = 12.

26. If a right triangle has one leg of 8 cm and the other leg of 15 cm, what is the length of the hypotenuse?
    Answer: Use the Pythagorean theorem: a² + b² = c². So, 8² + 15² = c², which gives c² = 64 + 225 = 289, so c = 17 cm.

27. Solve for x: 5x – 10 = 20.
    Answer: Add 10 to both sides to get 5x = 30. Then divide by 5 to get x = 6.

28. A triangle has sides of 7 cm, 24 cm, and 25 cm. Is it a right-angled triangle?
    Answer: Check if 7² + 24² = 25². 49 + 576 = 625, which is true, so it is a right-angled triangle.

29. If the area of a circle is 154 cm², what is its radius?
    Answer: The area of a circle is πr². So, 154 = π * r². Solving for r, we get r ≈ 7 cm.

30. What is the value of 2³?
    Answer: 2³ = 8.

31. How many edges does a cube have?
    Answer: A cube has 12 edges.

32. What is the sum of the first five prime numbers?
    Answer: The first five prime numbers are 2, 3, 5, 7, and 11. Their sum is 28.

33. Find the value of y if 3y – 7 = 16.
    Answer: Add 7 to both sides to get 3y = 23. Then divide by 3 to get y = 23/3.

34. A rectangle has a length of 20 cm and a width of 10 cm. What is its area?
    Answer: The area of a rectangle is length * width. So, the area = 20 * 10 = 200 cm².

35. If a number is multiplied by 7 and then 5 is subtracted from the result, it equals 30. What is the number?
    Answer: Let the number be x. Then, 7x – 5 = 30. Solving for x, we get x = 5.

36. Find the square root of 81.
    Answer: The square root of 81 is 9.

37. What is the sum of the first 10 natural numbers?
    Answer: The sum of the first 10 natural numbers is 55.

38. If the perimeter of a triangle is 24 cm and the lengths of two sides are 7 cm and 10 cm, what is the length of the third side?
    Answer: The perimeter of a triangle is the sum of its sides. So, 7 + 10 + third side = 24. The third side = 24 – 17 = 7 cm.

39. Solve for x: 4x + 3 = 23.
    Answer: Subtract 3 from both sides to get 4x = 20. Then divide by 4 to get x = 5.

40. A circle has a radius of 6 cm. What is its area?
    Answer: The area of a circle is πr². So, the area = π * 6² = 36π cm².

Top Indian Books for CBSE Class 10 Maths Solutions: Expert-Backed Recommendations

• R.D. Sharma - Mathematics for Class 10

  • Publisher: Dhanpat Rai Publications
  • Content: Offers a detailed solution for every exercise in the CBSE syllabus. The book includes both theoretical concepts and practice problems, focusing on the application of concepts. It is ideal for building a strong foundation in mathematics, with step-by-step solutions for each problem.

• R.S. Aggarwal - Mathematics for Class 10

  • Publisher: S. Chand Publications
  • Content: This book is popular among CBSE students for its comprehensive approach. It covers the entire syllabus, with multiple solved examples and exercise problems. Students will find it helpful for both theory and problem-solving practice.

• ML Aggarwal - Mathematics for Class 10

  • Publisher: Arya Publications
  • Content: A preferred choice for in-depth practice. It contains detailed solutions and is structured to offer a good mix of basic and advanced problems. Students will get an understanding of all topics with a special focus on the application of concepts.

• H.C. Verma - Concept of Physics (Mathematics Section)

  • Publisher: Bharati Bhawan
  • Content: Although primarily a physics book, it includes mathematical problem-solving techniques that are useful for CBSE students. The mathematics section focuses on applications in physics, which is beneficial for students who are inclined toward both subjects.

• S.K. Gupta & Anubhuti Gangal - Mathematics for Class 10

  • Publisher: Dhanpat Rai Publications
  • Content: This book provides detailed solutions to all the problems, making it a great choice for comprehensive practice. It includes application-based questions, model test papers, and an additional section for higher-level problems to enhance skills.

• Laxmi Publications - Mathematics Class 10

  • Publisher: Laxmi Publications
  • Content: Features a wide range of problems from basic to advanced. This book also provides previous years' question papers, allowing students to get familiar with the exam pattern. It’s perfect for revision and problem-solving practice.

• Target Publications - Mathematics Class 10

  • Publisher: Target Publications
  • Content: This book stands out for its clear and concise explanations. It features several solved examples and unsolved practice questions. It focuses on conceptual clarity and includes a variety of problems to help with exam preparation.

• K.K. Verma - Maths Class 10

  • Publisher: New Vishal Publication
  • Content: An excellent book for students who prefer an easy-to-understand approach. It contains various exercises and solutions, focusing on critical areas like algebra, trigonometry, and geometry. It is ideal for exam-focused preparation.

• Xam Idea - Mathematics for Class 10

  • Publisher: Xam Idea
  • Content: Known for its detailed solutions and alignment with the CBSE pattern, this book is great for revision. It provides ample practice problems and offers solutions for all topics, making it suitable for students at all levels.

• Mathematics for Class 10 by R. S. Agarwal & V. Aggarwal

  • Publisher: S. Chand & Co.
  • Content: Comprehensive in nature, this book offers plenty of solved and unsolved questions, making it ideal for thorough practice. It contains both theory-based questions and application-oriented problems.

• Dinesh Maths Class 10

  • Publisher: Dinesh Publication
  • Content: This book includes an extensive range of problems with complete solutions. It is designed to cater to students aiming for excellence in their mathematics exams, with a particular emphasis on conceptual clarity.

• Pradeep’s New Course - Mathematics Class 10

  • Publisher: Pradeep Publications
  • Content: Provides step-by-step solutions and explanations for all exercises. The book is known for its clarity and in-depth coverage of algebra, geometry, and mensuration.

• Mathematics for Class 10 by R.D. Sharma (Multicolour Edition)

  • Publisher: Dhanpat Rai
  • Content: This is a visual and detailed guide to mathematics, featuring solved examples, practice problems, and explanations in an easy-to-follow format. The multicolor edition enhances understanding through illustrations.

• S. Chand’s Mathematics for Class 10

  • Publisher: S. Chand Publishing
  • Content: This book provides a complete guide with detailed answers and explanations. It includes solved examples, practice exercises, and important tips for mastering difficult topics like quadratic equations and probability.

• Oswal Publishers - Mathematics Class 10

  • Publisher: Oswal Publishers
  • Content: This book offers complete solutions and explanations for every chapter, with a focus on improving problem-solving speed and accuracy. It also includes previous years' question papers to help with exam preparation.

• RD Sharma - Mathematics for Class 10 (Old Edition)

  • Publisher: Dhanpat Rai Publications
  • Content: While the content remains the same as the new edition, this older edition is ideal for those who are looking for a more affordable option for studying mathematics with clarity.

• All In One - Mathematics for Class 10

  • Publisher: Arihant Publications
  • Content: A complete package with theory, solved examples, practice problems, and previous years' questions. The book provides excellent content for students preparing for board exams.

• Cengage Learning - Mathematics for Class 10

  • Publisher: Cengage Learning
  • Content: This book goes beyond the basics, providing students with advanced questions and concepts. It includes detailed solutions that cater to students who are preparing for competitive exams as well.

• Arihant’s Mathematics Class 10

  • Publisher: Arihant Publications
  • Content: An easy-to-understand guide for exam preparation, it covers all topics and provides step-by-step solutions to questions. The book features multiple choice questions and provides tips for effective problem-solving.

• Evergreen - Mathematics for Class 10

  • Publisher: Evergreen Publications
  • Content: This book offers clear explanations and a variety of problems from different chapters. Students can rely on this book for in-depth understanding and effective revision.

Mathematics is a crucial subject in the CBSE Class 10 curriculum, often causing both excitement and anxiety among students. Whether it's algebra, geometry, trigonometry, or statistics, mastering these topics is essential for scoring well in the exams. Having access to reliable CBSE Class 10 Maths solutions can make a world of difference when it comes to understanding complex concepts and practicing effectively.

Why CBSE Class 10 Maths Solutions Matter

Maths solutions play a vital role in helping students grasp the concepts in a structured way. With numerous chapters and formulas to remember, it’s easy to lose track of the basics. Well-organized solutions not only help students solve problems efficiently but also clarify any doubts they may have while studying. The key to success in CBSE Class 10 Maths is practice, and solutions provide a step-by-step approach to help students tackle every question with confidence.

CBSE Class 10 Maths solutions are designed to offer clear, concise, and easy-to-follow explanations. Each problem is broken down into smaller, manageable steps, which help students understand the process behind the solution. Instead of simply giving the final answer, the solutions guide students through each stage of the problem, reinforcing the importance of logical thinking and accuracy.

For instance, when working on algebraic expressions or quadratic equations, students are shown how to manipulate terms or apply the right formula. This ensures that they not only know the answer but also understand the reasoning behind it.

The CBSE Class 10 Maths syllabus is vast, covering a range of topics from Number Systems to Coordinate Geometry. Each topic comes with its own set of challenges, but with proper guidance, even the toughest chapters can be mastered. Solutions provided for each chapter give students the opportunity to practice problems of varying difficulty levels. These solutions ensure that no topic is left unexplored, making students well-prepared for the exams.

Using CBSE Class 10 Maths solutions is an excellent way to boost exam preparation. By solving sample problems and referring to solutions, students get an idea of the types of questions that are likely to appear in the exam. Regular practice, combined with referring to accurate and well-explained solutions, enhances problem-solving speed, ensuring that students can manage their time efficiently during the exam.

Additionally, by revisiting difficult questions and comparing solutions, students can identify recurring mistakes and rectify them before the actual exam. This approach promotes thorough revision and helps reduce the chances of errors.

1. Understand the Concept First: Before diving into the solutions, ensure that you have a clear understanding of the underlying concepts. Solutions work best when you already know the fundamentals.

2. Solve Problems Independently: Try solving problems on your own first. Use the solutions only when you're stuck, and analyze each step carefully.

3. Practice Regularly: Consistency is key in mastering Maths. Solve as many problems as you can, covering a variety of question types from the solutions.

4. Focus on Weak Areas: Pay extra attention to the topics or types of problems that challenge you the most. Use the solutions to practice and improve these areas.

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