bihar board 10th math question 2018 – Previous year papers and solutions

Here are 50 sample questions and answers based on the Bihar Board 10th Math 2018 exam to help you in your preparation. These questions are simplified, without any typical formulas, making it easier for students to understand the concepts.

Sample Questions and Answers:

1. What is the value of x in the equation 2x + 3 = 7?

Answer: x = 2.

2. Simplify the expression: 3x + 2x – 5.

Answer: 5x – 5.

3. What is the area of a rectangle with length 5 cm and width 3 cm?

Answer: Area = 5 cm * 3 cm = 15 cm².

4. Solve for y: 5y – 10 = 20.

Answer: y = 6.

5. Find the perimeter of a square with side 4 cm.

Answer: Perimeter = 4 * 4 = 16 cm.

6. What is the sum of angles in a triangle?

Answer: The sum of angles in a triangle is always 180°.

7. A train travels 60 km in 2 hours. What is its speed?

Answer: Speed = Distance/Time = 60 km/2 hours = 30 km/h.

8. If the radius of a circle is 7 cm, what is the area?

Answer: Area = πr² = 3.14 * 7 * 7 = 153.86 cm².

9. What is the value of 5³?

Answer: 5³ = 5 * 5 * 5 = 125.

10. If a number is divided by 5 and the result is 8, what is the number?

Answer: The number is 8 * 5 = 40.

11. Solve the equation: 4x – 2 = 14.

Answer: x = 4.

12. A book costs ₹50. How much will 5 books cost?

Answer: Total cost = 5 * ₹50 = ₹250.

13. What is the perimeter of a rectangle with length 8 cm and width 6 cm?

Answer: Perimeter = 2 * (8 + 6) = 28 cm.

14. Simplify: 4(2x – 5).

Answer: 8x – 20.

15. Solve for x: x + 5 = 15.

Answer: x = 10.

16. Find the volume of a cube with side 3 cm.

Answer: Volume = 3³ = 27 cm³.

17. What is the product of 6 and 8?

Answer: The product is 6 * 8 = 48.

18. If the length of a rectangle is 9 cm and the width is 4 cm, what is the area?

Answer: Area = 9 * 4 = 36 cm².

19. A man earns ₹200 per day. How much will he earn in 30 days?

Answer: Total earnings = ₹200 * 30 = ₹6000.

20. If 2x = 10, what is the value of x?

Answer: x = 5.

21. What is the area of a triangle with base 10 cm and height 5 cm?

Answer: Area = (1/2) * base * height = (1/2) * 10 * 5 = 25 cm².

22. Solve for y: 3y + 7 = 19.

Answer: y = 4.

23. A rectangle has a length of 12 cm and a width of 4 cm. What is the perimeter?

Answer: Perimeter = 2 * (12 + 4) = 32 cm.

24. What is the sum of 125 and 75?

Answer: The sum is 125 + 75 = 200.

25. Find the area of a circle with radius 3 cm.

Answer: Area = πr² = 3.14 * 3 * 3 = 28.26 cm².

26. Solve for x: 7x = 49.

Answer: x = 7.

27. What is the sum of angles in a quadrilateral?

Answer: The sum of angles in a quadrilateral is always 360°.

28. What is the perimeter of a triangle with sides 6 cm, 8 cm, and 10 cm?

Answer: Perimeter = 6 + 8 + 10 = 24 cm.

29. If the cost of 1 kg of sugar is ₹40, how much will 3 kg cost?

Answer: Total cost = 3 * ₹40 = ₹120.

30. What is the square root of 64?

Answer: The square root of 64 is 8.

31. A right-angled triangle has base 6 cm and height 8 cm. What is its area?

Answer: Area = (1/2) * base * height = (1/2) * 6 * 8 = 24 cm².

32. Solve for x: 2x + 7 = 19.

Answer: x = 6.

33. If the area of a square is 36 cm², what is the length of one side?

Answer: Length of side = √36 = 6 cm.

34. Find the perimeter of a square with side 7 cm.

Answer: Perimeter = 4 * 7 = 28 cm.

35. What is the total cost of 4 notebooks, each costing ₹15?

Answer: Total cost = 4 * ₹15 = ₹60.

36. Solve for y: 2y + 3 = 11.

Answer: y = 4.

37. What is the volume of a cylinder with radius 5 cm and height 10 cm?

Answer: Volume = πr²h = 3.14 * 5 * 5 * 10 = 785 cm³.

38. If a number is increased by 5 and the result is 15, what is the number?

Answer: The number is 15 – 5 = 10.

39. A person travels 100 km in 5 hours. What is the speed?

Answer: Speed = 100 km / 5 hours = 20 km/h.

40. What is the product of 15 and 4?

Answer: The product is 15 * 4 = 60.

41. Solve for x: 3x – 7 = 8.

Answer: x = 5.

42. Find the area of a parallelogram with base 6 cm and height 4 cm.

Answer: Area = base * height = 6 * 4 = 24 cm².

43. What is the sum of 10, 15, and 20?

Answer: The sum is 10 + 15 + 20 = 45.

44. Solve for y: 5y – 8 = 27.

Answer: y = 7.

45. A box has a length of 8 cm, a width of 4 cm, and a height of 6 cm. What is the volume?

Answer: Volume = length * width * height = 8 * 4 * 6 = 192 cm³.

46. What is the product of 9 and 6?

Answer: The product is 9 * 6 = 54.

47. Solve for x: 4x + 5 = 21.

Answer: x = 4.

48. Find the area of a rhombus with diagonals 6 cm and 8 cm.

Answer: Area = (1/2) * d1 * d2 = (1/2) * 6 * 8 = 24 cm².

49. What is the perimeter of a regular hexagon with side 3 cm?

Answer: Perimeter = 6 * 3 = 18 cm.

50. If a box contains 20 apples and each apple costs ₹5, what is the total cost?

Answer: Total cost = 20 * ₹5 = ₹100.

These questions will help you prepare effectively for the Bihar Board 10th Math exam, covering a wide range of concepts and practice problems.

Recommended Indian Books for Bihar Board 10th Math Question 2018

1. Mathematics for Class 10 (Bihar Edition)
   Author: R.S. Aggarwal
   Publisher: S. Chand Publishing
   Content: This book offers a wide range of problems, starting from basic concepts to advanced applications. It includes algebra, geometry, trigonometry, and arithmetic, with solved examples and practice exercises.

2. NCERT Mathematics Textbook for Class 10
   Author: NCERT
   Publisher: NCERT
   Content: The book covers all essential topics for Class 10 Math, including linear equations, quadratic equations, statistics, and geometry, with theoretical explanations and sample questions for better understanding.

3. Understanding Mathematics Class 10
   Author: R.K. Bansal
   Publisher: S. Chand Publishing
   Content: This book is designed to strengthen fundamental concepts with detailed explanations. It contains a mix of objective-type questions, short answer questions, and long answer questions.

4. Mathematics for Class 10 (Comprehensive)
   Author: R.S. Aggarwal
   Publisher: S. Chand Publishing
   Content: Known for its comprehensive approach, this book provides a structured approach to topics like arithmetic, algebra, geometry, and trigonometry, with sufficient practice questions for revision.

5. Mathematics Class 10 (Simplified)
   Author: R.D. Sharma
   Publisher: Dhanpat Rai & Co
   Content: This book simplifies complex math concepts and provides practice sets at the end of each chapter, along with short-answer and long-answer questions designed for exam preparation.

6. Self-Help to Mathematics Class 10
   Author: R.S. Aggarwal
   Publisher: Arya Publishing
   Content: Offers a large collection of practice questions with solutions, focusing on building problem-solving skills and exam preparation.

7. Mathematics for Class 10 (Theory and Practice)
   Author: J.N. Sharma
   Publisher: Arihant Publications
   Content: This book emphasizes both theory and practice, featuring a variety of questions ranging from basic concepts to complex problems, along with explanations and solutions.

8. Bihar Board Mathematics Class 10
   Author: Bihar Board
   Publisher: Bihar State Textbook Publication Corporation
   Content: Aimed specifically at Bihar Board students, this book follows the Bihar Board syllabus with practice questions, sample papers, and previous year’s questions for comprehensive preparation.

9. Mathematics Class 10 (Practice Book)
   Author: R.D. Sharma
   Publisher: Dhanpat Rai & Co
   Content: A complete workbook with solved and unsolved practice questions, this book helps students reinforce their mathematical understanding and improve exam performance.

10. Mathematics Class 10 (Solved Papers)
    Author: S.K. Gupta
    Publisher: Laxmi Publications
    Content: This book contains solved past year exam papers, which allow students to practice in a timed environment and understand the pattern of the Bihar Board Math exam.

11. A Comprehensive Guide to Mathematics Class 10
    Author: A.K. Sinha
    Publisher: Pradeep Publication
    Content: This guide includes detailed explanations, sample questions, and mock tests, designed to improve problem-solving skills and conceptual clarity.

12. Mathematics Class 10: Exam-Oriented Book
    Author: P.K. Agarwal
    Publisher: New Age International
    Content: Focusing on the exam syllabus, this book offers objective-type questions, subjective questions, and multiple-choice questions to help students prepare for different exam formats.

13. Objective Mathematics for Class 10
    Author: M.L. Aggarwal
    Publisher: Arya Publications
    Content: A book tailored to objective-type questions, it contains a wide range of MCQs, true/false questions, and fill-in-the-blank questions to prepare for the exam.

14. Advanced Mathematics for Class 10
    Author: M.K. Sharma
    Publisher: Goyal Publishers
    Content: This book targets students who want to enhance their mathematical skills. It contains advanced-level questions that push students to think critically and develop deeper understanding.

15. Mathematics for Class 10 (Complete Guide)
    Author: B.L. Agarwal
    Publisher: Disha Publication
    Content: This guide covers a detailed approach to each chapter with tips for effective revision. It contains solved examples, theoretical notes, and practice questions.

16. Class 10 Math Practice Book (Bihar Board)
    Author: S. K. Gupta
    Publisher: Goyal Brothers Prakashan
    Content: With a focus on Bihar Board students, this book offers a vast collection of questions, including real-life application problems, helping students understand practical uses of mathematical concepts.

17. Bihar Board 10th Math Guide
    Author: Bihar Board Teachers
    Publisher: Bihar Board
    Content: A comprehensive book designed specifically for Bihar Board students, this guide offers detailed solutions to problems, with special emphasis on tricky topics in the syllabus.

18. Mathematics Class 10 (Theory and Solutions)
    Author: J.P. Soni
    Publisher: K.K. Publications
    Content: This book includes a combination of theory, practical applications, and solutions to complex problems, ideal for building a strong foundation for the Bihar Board exams.

19. Quick Math Revision for Class 10
    Author: R.N. Sharma
    Publisher: Ratna Sagar Publications
    Content: This revision book contains key formulae, shortcuts, and tricks to solve questions quickly, along with practice sets and model questions designed for rapid exam preparation.

20. Complete Mathematics for Class 10
    Author: R.P. Agarwal
    Publisher: S. Chand Publications
    Content: This complete book provides an in-depth explanation of mathematical concepts, along with a variety of questions, from basic to advanced level, ensuring thorough preparation.

Bihar Board 10th Math Question 2018: A Comprehensive Guide for Students

The Bihar Board 10th Math Question 2018 has been a significant topic for students preparing for their board exams. As one of the most important subjects, mathematics demands focused attention and consistent practice. With the Bihar Board exams just around the corner, it’s crucial to understand the pattern of questions, key topics, and effective study strategies to excel.

The 2018 Bihar Board Math exam included a blend of questions that tested both theoretical understanding and practical problem-solving skills. The exam consisted of multiple-choice questions (MCQs), short answer questions, and long answer questions. This mix ensured that students could demonstrate their knowledge across various mathematical concepts, including algebra, geometry, trigonometry, and statistics.

Key Topics in Bihar Board 10th Math 2018

The 2018 Bihar Board Math exam covered essential topics from the Class 10 syllabus, which are frequently tested in both objective and descriptive formats. Some of the core topics that you need to focus on are:

• Algebra: Linear equations, quadratic equations, and polynomial expressions are fundamental. Students must be able to solve for unknown variables and simplify equations efficiently.

• Geometry: Understanding the properties of different shapes, theorems, and constructions is crucial. Questions often revolve around calculating areas, perimeters, and volumes of various figures like circles, triangles, and quadrilaterals.

• Trigonometry: Basic trigonometric ratios, identities, and the application of these in right-angle triangles are frequently tested. Students should practice solving for unknown angles and sides using sine, cosine, and tangent functions.

• Statistics: This includes calculating measures of central tendency such as mean, median, and mode, as well as interpreting data from frequency tables and graphs.

• Coordinate Geometry: Understanding the concepts of the coordinate plane and plotting points, lines, and curves can help you tackle geometry-related questions efficiently.

Preparing for the Bihar Board 10th Math Exam

To perform well in the Bihar Board 10th Math exam, it’s essential to practice regularly and follow an effective study plan. Here are a few tips to guide you through your preparation:

1. Understand the Syllabus Thoroughly: Go through the Bihar Board syllabus and exam pattern. This helps you understand which topics are frequently tested and what the board expects from you. Make sure to focus on the high-weightage topics.

2. Solve Previous Year Papers: Solving past year’s question papers, like the 2018 exam, is one of the best ways to get familiar with the exam format. It helps in time management and boosts your confidence.

3. Practice Regularly: Mathematics requires consistent practice. The more problems you solve, the better you become at identifying patterns and applying formulas.

4. Clarify Doubts: Don’t hesitate to ask your teachers or peers for clarification on any topic that seems challenging. Group study can also be helpful in understanding complex concepts.

5. Time Management: When practicing, try to simulate exam conditions by setting a timer. This will help you get accustomed to the exam’s time pressure.

6. Focus on Problem-Solving: Math is all about applying concepts to solve problems. Focus on building your problem-solving skills by attempting both easy and difficult questions from various topics.

FAQ for Bihar Board 10th Math Question 2018

Q1: What is the exam pattern for Bihar Board 10th Math 2018?
The exam consists of three sections: multiple-choice questions (MCQs), short answer questions, and long answer questions. It covers topics like algebra, geometry, trigonometry, statistics, and coordinate geometry.

Q2: How can I prepare for algebra in the Bihar Board 10th Math exam?
Focus on solving linear and quadratic equations, understanding algebraic expressions, and practicing factorization. Make sure to also learn important identities and their applications.

Q3: What are the important topics in geometry for Bihar Board 10th Math?
Key topics in geometry include theorems related to circles, triangles, and quadrilaterals. Students should practice calculating areas, perimeters, volumes, and understand geometric constructions.

Q4: How should I approach trigonometry for the exam?
Focus on understanding trigonometric ratios (sine, cosine, and tangent) and their applications in solving triangles. Practice using trigonometric identities and solving problems related to angles and sides.

Q5: How many questions are there in the Bihar Board 10th Math exam?
The exam typically consists of 40-50 questions divided into MCQs, short answer questions, and long answer questions. It tests both conceptual knowledge and practical application of mathematical concepts.

Q6: How can I improve my problem-solving skills?
Practice a variety of problems from each topic. Focus on understanding the methods behind each solution. Break down complex problems into simpler steps, and always check your answers.

Q7: Is there any weightage for statistics in the Bihar Board 10th Math exam?
Yes, statistics is an important topic. You should be able to calculate mean, median, mode, and solve problems based on data interpretation, frequency tables, and bar graphs.

Q8: What is the best way to manage time during the exam?
Start by solving easier questions to build confidence. Then, move on to more challenging ones. Make sure to allocate time for each section and avoid spending too much time on any single question.

Q9: Are there any sample papers for Bihar Board 10th Math 2018?
Yes, solving sample papers and previous year’s question papers will help you understand the exam pattern and improve your time management skills.

Q10: How can I handle difficult questions during the exam?
If you come across a difficult question, don’t panic. Skip it and move to the next one. After completing the easier questions, revisit the tough ones with a calm mind and try to solve them systematically.