Bihar Board Math Questions with Solutions: Practice & Prepare for Exams

Bihar Board Math Questions and Answers: Practice for Exams

Understanding Bihar Board Math questions is crucial for students preparing for exams. Below are sample questions along with their answers to help students grasp key concepts and improve problem-solving skills.

Question: What is the sum of two consecutive numbers whose sum is 55? Answer: Let the numbers be x and x+1. Their sum is x + (x+1) = 55. Solving, 2x + 1 = 55, so 2x = 54 and x = 27. The numbers are 27 and 28.

Question: A rectangle has a length of 10 cm and width of 6 cm. What is its perimeter? Answer: The perimeter of a rectangle is 2(length + width) = 2(10+6) = 32 cm.

Question: A train travels at a speed of 60 km/h. How much distance will it cover in 3 hours? Answer: Distance = Speed × Time = 60 × 3 = 180 km.

Question: If a box contains 24 apples and they are divided equally among 6 children, how many apples does each child get? Answer: Each child gets 24 ÷ 6 = 4 apples.

Question: The sum of three consecutive even numbers is 48. Find the numbers. Answer: Let the numbers be x, x+2, and x+4. Their sum is x + (x+2) + (x+4) = 48. Solving, 3x + 6 = 48, so 3x = 42 and x = 14. The numbers are 14, 16, and 18.

Question: A book costs Rs. 120 and is available at a discount of 20%. What is the final price after the discount? Answer: Discount amount = 120 × 20% = Rs. 24. Final price = 120 – 24 = Rs. 96.

Question: If the price of 5 kg of sugar is Rs. 250, what is the cost per kg? Answer: Cost per kg = 250 ÷ 5 = Rs. 50.

Question: The area of a square is 64 square cm. Find the length of one side. Answer: Side length = √64 = 8 cm.

Question: A person walks 5 km in one hour. How long will it take to walk 20 km? Answer: Time = Distance ÷ Speed = 20 ÷ 5 = 4 hours.

Question: A shopkeeper sells an item for Rs. 500 at a profit of 25%. What is the cost price? Answer: Let the cost price be x. Selling price = x + 25% of x = 500. So, x(1.25) = 500. Solving, x = 500 ÷ 1.25 = Rs. 400.

Question: If the sum of angles in a triangle is always 180 degrees, and two angles are 45° and 65°, what is the third angle? Answer: Third angle = 180 – (45 + 65) = 70°.

Question: A shopkeeper earns Rs. 1500 per day. How much does he earn in 30 days? Answer: Total earnings = 1500 × 30 = Rs. 45000.

Question: A school has 600 students, and 60% are girls. How many girls are in the school? Answer: Number of girls = 600 × 60% = 360 girls.

Question: If 4 pens cost Rs. 80, what is the cost of 10 pens? Answer: Cost of one pen = 80 ÷ 4 = Rs. 20. Cost of 10 pens = 10 × 20 = Rs. 200.

Question: A shop offers a discount of 15% on an item costing Rs. 2000. What is the price after the discount? Answer: Discount amount = 2000 × 15% = Rs. 300. Final price = 2000 – 300 = Rs. 1700.

Question: A man runs 500 meters in 2 minutes. What is his speed in meters per second? Answer: Speed = Distance ÷ Time = 500 ÷ 120 = 4.17 m/s.

Question: A car consumes 5 liters of petrol for 100 km. How much petrol is needed for 500 km? Answer: Petrol required = (500 ÷ 100) × 5 = 25 liters.

Question: The price of a book was Rs. 400 and increased by 10%. What is the new price? Answer: New price = 400 + (10% of 400) = 400 + 40 = Rs. 440.

Question: A man has Rs. 1500 and spends 30% of it. How much money is left? Answer: Money spent = 1500 × 30% = Rs. 450. Money left = 1500 – 450 = Rs. 1050.

Question: A triangle has sides of length 3 cm, 4 cm, and 5 cm. Is it a right-angled triangle? Answer: Yes, because 3² + 4² = 5² (9 + 16 = 25), satisfying the Pythagorean theorem.

Question: If the average of five numbers is 40, what is their total sum? Answer: Total sum = Average × Number of values = 40 × 5 = 200.

Question: A tank fills 30 liters of water per hour. How much water will it store in 8 hours? Answer: Water stored = 30 × 8 = 240 liters.

Question: A rope of 100 meters is cut into 5 equal parts. What is the length of each part? Answer: Length of each part = 100 ÷ 5 = 20 meters.

Question: A train moving at 50 km/h takes 4 hours to reach its destination. How far is it? Answer: Distance = Speed × Time = 50 × 4 = 200 km.

These are some fundamental math problems designed to help Bihar Board students improve their problem-solving skills. Practice these questions to build confidence and excel in exams.

Best Books for Bihar Board Math Questions with Authors and Publications

Here are some of the best books for Bihar Board mathematics preparation, along with their authors, publishers, and details about the type of questions and content they include:

1. Bihar Board Exam Mathematics

• Author: R.D. Sharma
• Publisher: Dhanpat Rai Publications
• Content: Covers detailed explanations, conceptual clarity, and a variety of solved and unsolved problems. Best for deep understanding and practice.

2. Bihar Board Mathematics Guide

• Author: S.K. Gupta
• Publisher: SBPD Publications
• Content: A comprehensive guide with topic-wise solutions, model papers, and past year’s board exam questions.

3. NCERT Mathematics (Class 10 & 12)

• Author: NCERT Experts
• Publisher: NCERT
• Content: Official textbook for Bihar Board, covering fundamentals with step-by-step solutions and exercises.

4. Golden Bihar Board Mathematics

• Author: Rakesh Yadav
• Publisher: Golden Publications
• Content: Includes short tricks, formula-based problems, and previous years’ solved questions.

5. MBD Bihar Board Mathematics

• Author: MBD Experts
• Publisher: MBD Group
• Content: Concept-based explanations with an exam-focused approach, including sample papers and MCQs.

6. Xam Idea Bihar Board Mathematics

• Author: Editorial Team
• Publisher: VK Global Publications
• Content: Step-by-step solutions with theory, practice exercises, and HOTS (Higher Order Thinking Skills) questions.

7. Arihant Bihar Board Mathematics

• Author: Dr. R.S. Aggarwal
• Publisher: Arihant Publications
• Content: A mix of conceptual explanations and extensive practice questions, including competitive exam-based problems.

8. All in One Mathematics for Bihar Board

• Author: R.P. Sinha
• Publisher: Arihant Experts
• Content: Includes theory, detailed solutions, sample papers, and revision notes.

9. Pradeep’s Bihar Board Mathematics

• Author: K.C. Sinha
• Publisher: Pradeep Publications
• Content: Chapter-wise explanations, solved examples, and numerical-based exercises.

10. Oswaal Bihar Board Mathematics Question Bank

• Author: Oswaal Experts
• Publisher: Oswaal Books
• Content: Includes board exam-style questions, previous years’ questions, and practice papers with solutions.

11. CBSE & Bihar Board Mathematics

• Author: R.D. Sharma
• Publisher: Dhanpat Rai Publications
• Content: A detailed book for both board and competitive exam preparation.

12. Self-Study Mathematics for Bihar Board

• Author: B.L. Agarwal
• Publisher: Goyal Brothers Prakashan
• Content: Includes theory, conceptual problems, and revision exercises.

13. MTG Score More Bihar Board Mathematics

• Author: MTG Experts
• Publisher: MTG Learning Media
• Content: Focuses on concept clarity with topic-wise revision.

14. Rachna Sagar Bihar Board Mathematics

• Author: Rachna Sagar Team
• Publisher: Rachna Sagar Publications
• Content: Includes extensive theory and application-based questions.

15. Target Bihar Board Mathematics

• Author: M.K. Pandey
• Publisher: Target Publications
• Content: A collection of formula-based, theoretical, and practical problems.

16. Concepts of Mathematics for Bihar Board

• Author: H.C. Verma
• Publisher: Bharti Bhawan Publishers
• Content: Ideal for strengthening basic concepts with logical problem-solving approaches.

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Bihar Board Math Question

Bihar Board mathematics exams are an essential milestone for students preparing for their academic success. The Bihar School Examination Board (BSEB) conducts the Class 10 (Matric) and Class 12 (Intermediate) exams every year, and mathematics is a crucial subject for students opting for Science and Commerce streams.

Exam Pattern and Question Format

The Bihar Board math exam follows a structured pattern that includes a mix of objective and subjective questions. Students can expect:

• Multiple Choice Questions (MCQs): 50% of the paper consists of objective-type questions, requiring quick calculations and conceptual clarity.
• Short Answer Questions: These test step-by-step problem-solving skills.
• Long Answer Questions: Focus on in-depth understanding and logical reasoning.

Types of Questions Asked

1. Algebra and Polynomials: Includes simplifications, factorization, and solving equations.
2. Geometry & Mensuration: Properties of triangles, circles, and volume-based questions.
3. Trigonometry: Angle-based problems, identities, and height-distance applications.
4. Statistics & Probability: Graph interpretation, mean, median, mode, and probability calculations.
5. Coordinate Geometry: Distance formula, section formula, and area calculations.
6. Calculus (Class 12): Differentiation, integration, and application-based problems.

Preparation Tips for Bihar Board Math Exam

1. Understand the Syllabus: Go through the latest syllabus to identify high-weightage topics.
2. Practice Previous Year Papers: Solving past papers helps in understanding question trends.
3. Use NCERT Books as Primary Study Material: These provide concept clarity and standard problems.
4. Focus on Formulae and Theorems: Memorizing key formulas helps in solving problems quickly.
5. Time Management: Allocate time to each section to ensure all questions are attempted.
6. Take Mock Tests: Helps in improving speed and accuracy.

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FAQ for Bihar Board Math Question

Q1. What is the total marks weightage for Bihar Board Class 10 Math?

A: The total marks for the Class 10 Bihar Board math paper are 100, with 50 marks for objective questions and 50 marks for subjective questions.

Q2. How can I score full marks in Bihar Board Math?

A: Focus on concept clarity, practice regularly, and solve previous years’ papers to improve speed and accuracy.

Q3. What are the most important chapters for Bihar Board Math?

A: Algebra, Trigonometry, Mensuration, Probability, and Coordinate Geometry are key topics with high weightage.

Q4. Which book is best for Bihar Board Math?

A: NCERT is the best for concept clarity, and R.D. Sharma or Oswaal Question Bank can be used for additional practice.

Q5. Are there negative marks for wrong answers in Bihar Board Math?

A: No, there is no negative marking for wrong answers in the Bihar Board Math exam.

Q6. What is the passing marks requirement for Bihar Board Math?

A: Students need at least 33% marks to pass the Bihar Board Math exam.

Q7. How to prepare for the objective-type questions in Bihar Board Math?

A: Regularly practice MCQs, revise formulas, and take online quizzes for quick recall.

Q8. Are NCERT books enough for Bihar Board Math preparation?

A: Yes, NCERT books cover the syllabus comprehensively, but solving additional reference books can help in gaining more confidence.

Q9. When does Bihar Board conduct the Math exam?

A: The Class 10 and 12 Bihar Board Math exams are usually held in February every year.

Q10. Can I use a calculator in the Bihar Board Math exam?

A: No, the use of calculators is not allowed in Bihar Board Math exams.