Bihar Board 10th Math Question 2019 – Important Questions And Solutions

Here are some important sample questions and answers from the Bihar Board 10th Math question paper 2019 to help you prepare for the exam. These questions cover various important topics that are commonly asked in the exam.

A rectangle has a length of 12 cm and a breadth of 5 cm. Find the perimeter of the rectangle.

Answer: The perimeter of a rectangle is calculated by the formula 2 × (length + breadth). So, the perimeter = 2 × (12 + 5) = 2 × 17 = 34 cm.
The sum of two numbers is 45, and their difference is 5. Find the numbers.

Answer: Let the two numbers be x and y. The equations are:
x + y = 45
x – y = 5.
Solving these, we get x = 25 and y = 20.
A cylindrical jar has a radius of 7 cm and a height of 10 cm. Find the volume of the jar.

Answer: The volume of a cylinder is given by the formula π × r² × h. So, the volume = 3.14 × 7² × 10 = 3.14 × 49 × 10 = 1534 cm³.
If a train travels 60 km in 1.5 hours, find its speed.

Answer: Speed = Distance ÷ Time. So, speed = 60 ÷ 1.5 = 40 km/h.
A man buys a shirt for ₹300 and sells it for ₹350. Find his profit.

Answer: Profit = Selling Price – Cost Price. So, profit = 350 – 300 = ₹50.
The area of a triangle is 36 cm², and its base is 6 cm. Find the height of the triangle.

Answer: Area of a triangle = 1/2 × base × height. So, 36 = 1/2 × 6 × height.
Solving for height, we get height = 12 cm.
A shopkeeper sells a product for ₹80. If the cost price of the product is ₹60, find the profit percentage.

Answer: Profit Percentage = (Profit ÷ Cost Price) × 100.
Profit = 80 – 60 = ₹20.
Profit Percentage = (20 ÷ 60) × 100 = 33.33%.
The sum of three consecutive integers is 72. Find the integers.

Answer: Let the integers be x, x + 1, and x + 2. The sum is:
x + (x + 1) + (x + 2) = 72.
Solving for x, we get x = 23. So, the integers are 23, 24, and 25.
Find the simple interest on ₹2000 at 5% per annum for 3 years.

Answer: Simple Interest = (P × R × T) ÷ 100.
So, SI = (2000 × 5 × 3) ÷ 100 = ₹300.
A bag contains 3 red balls and 5 green balls. If a ball is randomly selected, what is the probability that the ball is red?

Answer: Probability = (Number of red balls) ÷ (Total number of balls).
So, Probability = 3 ÷ (3 + 5) = 3 ÷ 8 = 0.375.
The perimeter of a square is 40 cm. Find the length of each side.

Answer: The perimeter of a square is 4 × side. So, 40 = 4 × side.
Therefore, side = 40 ÷ 4 = 10 cm.
If the cost price of a book is ₹50 and the selling price is ₹60, what is the percentage gain?

Answer: Gain Percentage = (Gain ÷ Cost Price) × 100.
Gain = 60 – 50 = ₹10.
Gain Percentage = (10 ÷ 50) × 100 = 20%.
Find the area of a circle with a radius of 7 cm.

Answer: Area of a circle = π × r².
So, Area = 3.14 × 7² = 3.14 × 49 = 153.86 cm².
A box contains 12 balls, 4 of which are red. What is the probability of selecting a red ball?

Answer: Probability = (Number of red balls) ÷ (Total number of balls).
So, Probability = 4 ÷ 12 = 1/3.
A man has a total of ₹500. He spends ₹300 on books and ₹100 on a pen. How much money is left?

Answer: Remaining Money = Total Money – (Money spent on books + Money spent on pen).
Remaining Money = 500 – (300 + 100) = ₹100.
The sum of the angles in a triangle is 180°. If two angles are 60° and 50°, find the third angle.

Answer: The third angle = 180° – (60° + 50°) = 70°.
Find the circumference of a circle with a diameter of 14 cm.

Answer: Circumference = π × d.
So, Circumference = 3.14 × 14 = 43.96 cm.
If a book is sold for ₹120 and a discount of 10% is given, find the cost price of the book.

Answer: Selling Price = Cost Price × (1 – Discount Percentage).
120 = Cost Price × (1 – 0.10).
Cost Price = 120 ÷ 0.90 = ₹133.33.
A person travels 80 km in 4 hours. What is his average speed?

Answer: Average Speed = Total Distance ÷ Total Time.
So, Average Speed = 80 ÷ 4 = 20 km/h.
A rectangle has a length of 15 cm and a breadth of 8 cm. Find its area.

Answer: Area of rectangle = length × breadth.
So, Area = 15 × 8 = 120 cm².

These questions and answers can help you better understand the kind of problems you may encounter in the Bihar Board 10th math exam for 2019.

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Bihar Board 10th Math Question 2019: A Comprehensive Guide

The Bihar Board 10th math exam for 2019 posed a variety of challenges for students, focusing on key areas of algebra, geometry, trigonometry, and statistics. The exam was designed to test not only the student’s understanding of mathematical concepts but also their problem-solving abilities under timed conditions. As a student preparing for the Bihar Board exam, it’s essential to understand the structure and types of questions that were included in the 2019 math exam to better equip yourself for success.

The Bihar Board 10th math exam is divided into sections that test different mathematical areas. The first section typically includes questions on algebra, where students are required to solve linear equations, quadratic equations, and work with polynomials. Algebraic identities play a crucial role in these types of questions, and understanding how to apply them is key to solving problems efficiently.

Geometry, another important section, requires students to demonstrate their understanding of shapes, angles, and areas. In the 2019 exam, questions focused on finding the areas of different geometric figures such as triangles, circles, and quadrilaterals. Understanding formulas and how to apply them correctly is vital in this section. Students were also asked to solve problems involving the Pythagorean theorem, coordinate geometry, and mensuration.

Trigonometry is another essential part of the curriculum, where students were required to solve problems involving trigonometric ratios and their applications. In the 2019 exam, these questions were designed to test the student’s ability to understand the relationships between angles and sides in a right-angled triangle. Key concepts such as sine, cosine, and tangent were essential to answering these questions correctly.

Statistics and probability were also included in the exam, with questions requiring students to calculate the mean, median, mode, and standard deviation of data sets. Probability questions typically involved simple events, such as the likelihood of an event occurring in a sample space. Students needed a strong grasp of data handling and probability rules to perform well in this section.

To succeed in the Bihar Board 10th math exam, students should focus on practicing a variety of problems from each section. Regular revision and solving previous years’ question papers can greatly help in improving speed and accuracy. It’s also recommended that students focus on understanding the concepts thoroughly rather than memorizing formulas. Consistent practice is the key to mastering the topics and gaining confidence in tackling any question in the exam.

When preparing for the math exam, make sure to follow a study schedule that allows ample time for each subject. Ensure that you’re well-versed with the topics outlined in the syllabus and allocate time for regular mock tests. By doing so, you can improve your time management skills and get comfortable with the exam format. Additionally, keeping a positive mindset and staying calm during the exam can help you solve problems more effectively.

FAQ for Bihar Board 10th Math Question 2019

1. What topics were covered in the Bihar Board 10th Math exam 2019?
The 2019 exam included topics such as algebra, geometry, trigonometry, statistics, and probability. Students were required to solve problems on algebraic identities, areas of geometric shapes, trigonometric ratios, and statistical measures like mean, median, and mode.

2. How can I prepare for the Bihar Board 10th math exam?
To prepare effectively, focus on understanding the core concepts of each topic. Practice previous years’ question papers, work through sample problems, and take mock tests. Regular revision and applying formulas in various situations will help you retain information better.

3. Are the questions in the Bihar Board 10th math exam difficult?
The difficulty level varies, but with proper preparation and practice, students can perform well. Most questions require logical reasoning and application of formulas. Time management and a calm approach are key to handling the exam effectively.

4. How can I improve my algebra skills for the Bihar Board 10th math exam?
Focus on mastering algebraic identities, solving linear and quadratic equations, and practicing polynomial problems. Understanding the application of algebra in real-world problems will also strengthen your skills.

5. What is the best way to study geometry for the Bihar Board 10th math exam?
Study and practice the formulas for areas, volumes, and perimeters of various geometric figures. Work on problems involving the Pythagorean theorem, coordinate geometry, and mensuration. Visualizing shapes and understanding the properties of angles will help you solve geometry problems more effectively.

6. How important is trigonometry for the Bihar Board 10th math exam?
Trigonometry is an important part of the exam, with questions often focusing on the basic trigonometric ratios such as sine, cosine, and tangent. Make sure to understand their applications in right-angled triangles and practice solving related problems.

7. How much weightage does statistics and probability hold in the Bihar Board 10th math exam?
Statistics and probability hold significant weight in the exam. Be sure to practice calculating mean, median, mode, and understanding the concepts of probability, as they are often asked in both direct and applied questions.

8. What resources can I use to prepare for the Bihar Board 10th math exam?
Use textbooks, reference books, and online resources that provide practice problems and solutions. NCERT textbooks are particularly useful for understanding the fundamental concepts. Additionally, consider solving sample papers and previous year’s question papers to gain a better understanding of the exam format.