Complete WBBSE Class 10 Math Solutions for Better Exam Preparation

---

---

WBBSE Class 10 Math solutions provide students with clear, step-by-step explanations to help them understand concepts and solve problems effectively. With expert-backed guidance, these solutions are ideal for enhancing exam preparation. Students can boost their confidence and improve their problem-solving skills with the right approach.

Here are some sample questions and answers for WBBSE Class 10 Math. These will help you prepare for your exam with clarity and confidence.

Question 1:
What is the area of a triangle with a base of 12 cm and a height of 8 cm?
Answer:
The area of the triangle is calculated using the formula:
Area = 1/2 × base × height.
Substituting the values:
Area = 1/2 × 12 × 8 = 48 cm².

Question 2:
Find the perimeter of a rectangle with length 10 cm and width 5 cm.
Answer:
Perimeter of a rectangle is calculated as:
Perimeter = 2 × (length + width).
Substituting the values:
Perimeter = 2 × (10 + 5) = 30 cm.

Question 3:
Solve for x: 3x + 5 = 20.
Answer:
Subtract 5 from both sides:
3x = 15.
Now, divide both sides by 3:
x = 5.

Question 4:
What is the value of x in the equation 2x - 7 = 13?
Answer:
Add 7 to both sides:
2x = 20.
Now, divide both sides by 2:
x = 10.

Question 5:
Find the volume of a cube with side length 4 cm.
Answer:
The volume of a cube is given by the formula:
Volume = side³.
Substituting the value:
Volume = 4³ = 64 cm³.

Question 6:
Calculate the simple interest on ₹5000 at 5% for 2 years.
Answer:
Simple interest is calculated as:
SI = (P × R × T) / 100.
Substituting the values:
SI = (5000 × 5 × 2) / 100 = ₹500.

Question 7:
Find the roots of the quadratic equation x² - 5x + 6 = 0.
Answer:
We can factor the quadratic equation as:
(x - 2)(x - 3) = 0.
So, the roots are x = 2 and x = 3.

Question 8:
If the perimeter of a circle is 31.4 cm, what is the radius?
Answer:
Perimeter (circumference) of a circle is given by:
C = 2πr.
Substituting the values:
31.4 = 2 × 3.14 × r.
Solving for r:
r = 5 cm.

Question 9:
What is the surface area of a sphere with radius 7 cm?
Answer:
Surface area of a sphere is given by the formula:
SA = 4πr².
Substituting the values:
SA = 4 × 3.14 × 7² = 615.44 cm².

Question 10:
Solve for y: 4y + 7 = 31.
Answer:
Subtract 7 from both sides:
4y = 24.
Now, divide both sides by 4:
y = 6.

Question 11:
Find the area of a circle with a radius of 14 cm.
Answer:
The area of a circle is calculated using the formula:
Area = πr².
Substituting the values:
Area = 3.14 × 14² = 615.44 cm².

Question 12:
If the sides of a right-angled triangle are 3 cm, 4 cm, and 5 cm, verify if it is a Pythagorean triplet.
Answer:
Check if the square of the hypotenuse is equal to the sum of the squares of the other two sides:
3² + 4² = 9 + 16 = 25.
5² = 25.
Since both are equal, it is a Pythagorean triplet.

Question 13:
What is the value of the expression 2x² + 3x when x = 4?
Answer:
Substitute x = 4 into the expression:
2(4)² + 3(4) = 2(16) + 12 = 32 + 12 = 44.

Question 14:
Find the hypotenuse of a right-angled triangle with legs of 6 cm and 8 cm.
Answer:
Using the Pythagorean theorem:
Hypotenuse² = 6² + 8² = 36 + 64 = 100.
Hypotenuse = √100 = 10 cm.

Question 15:
What is the probability of getting a 6 when a fair die is rolled?
Answer:
The probability is calculated as:
P(E) = (Number of favorable outcomes) / (Total outcomes).
There is only one favorable outcome (getting a 6), and there are 6 total outcomes on a die.
So, P(E) = 1/6.

 

Question 16:
Solve for z: 5z - 3 = 2z + 12.
Answer:
Subtract 2z from both sides:
3z - 3 = 12.
Add 3 to both sides:
3z = 15.
Now, divide both sides by 3:
z = 5.

Question 17:
Find the distance between two points (2, 3) and (5, 7).
Answer:
Using the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²].
Substituting the values:
d = √[(5 - 2)² + (7 - 3)²] = √[3² + 4²] = √[9 + 16] = √25 = 5 units.

Question 18:
What is the median of the following set of numbers: 12, 15, 19, 21, 25?
Answer:
The median is the middle number in a sorted set of data. Here, the numbers are already in order. The middle number is 19, so the median is 19.

Question 19:
What is the mode of the following data: 3, 4, 4, 6, 7, 7, 7, 8?
Answer:
The mode is the number that occurs most frequently. In this case, 7 appears three times, so the mode is 7.

Question 20:
Solve for x: 5(x - 2) = 20.
Answer:
Expand the equation:
5x - 10 = 20.
Add 10 to both sides:
5x = 30.
Now, divide both sides by 5:
x = 6.

Top Books for WBBSE Class 10 Math Solutions

1. R.D. Sharma – Mathematics for Class 10
   Publisher: Dhanpat Rai Publications
   This book is a highly recommended resource for WBBSE Class 10 Math. It covers a wide range of topics, from algebra to geometry, with clear explanations and step-by-step solutions. The book also includes multiple examples and practice problems, which help students improve problem-solving skills.

2. S. Chand’s Mathematics for Class 10
   Publisher: S. Chand Publishing
   S. Chand's book is a staple for many students, offering well-structured content and a variety of questions that focus on improving conceptual understanding. The book contains both objective and subjective questions, ensuring students are prepared for all types of questions in the board exam.

3. Laxmi Publications - WBBSE Class 10 Math Solutions
   Publisher: Laxmi Publications
   This book provides a detailed breakdown of WBBSE Class 10 Math syllabus, offering solved examples and practice questions. Each chapter is followed by exercises that help reinforce the concepts and improve calculation speed, an essential skill for the board exam.

4. Arihant's All in One Mathematics Class 10
   Publisher: Arihant Publications
   Arihant's book is designed to cater to all exam preparation needs. It includes previous years' solved papers, practice sets, and detailed explanations of important topics. It also provides short tricks for quicker solutions in exams, focusing on time management.

5. Dinesh’s Algebra for Class 10
   Publisher: Dinesh Publications
   This book is specifically designed to help students understand the complex concepts of algebra in Class 10. With easy-to-understand explanations and plenty of exercises, it prepares students to solve algebraic expressions, equations, and more.

6. Kishore Kendra – WBBSE Class 10 Math Solutions
   Publisher: Kishore Kendra
   Kishore Kendra's book offers a variety of questions, from basic to advanced levels, making it perfect for students aiming for higher marks. It includes thorough explanations and model papers to simulate the board exam experience.

7. R.S. Aggarwal – Mathematics for Class 10
   Publisher: S. Chand Publications
   R.S. Aggarwal's book is a great resource for students preparing for the Class 10 exam. The book contains both solved examples and unsolved exercises, offering ample practice on topics such as trigonometry, geometry, and statistics.

8. NCERT Mathematics for Class 10
   Publisher: NCERT
   The NCERT Math book is the official textbook for WBBSE and is a great resource for fundamental concepts. It contains exercises that focus on strengthening the basic knowledge required for the board exam and a variety of problems to practice.

9. Mathematics Class 10 by R.N. Gupta
   Publisher: R.N. Gupta
   This book focuses on building a solid foundation of key topics like quadratic equations, geometry, and coordinate geometry. It contains a variety of problems that encourage analytical thinking, which is crucial for exam success.

10. Maths Solutions for Class 10 by Cengage Learning
    Publisher: Cengage Learning
    Known for its in-depth solutions and structured approach, this book by Cengage Learning offers detailed solutions to all the exercises in the WBBSE syllabus. The book is ideal for students who need additional practice and explanations.

The WBBSE Class 10 Math exam often challenges students, but with the right preparation, it can be manageable. Having access to the best books for practice is key. Many of these books are structured to address both conceptual understanding and practical problem-solving, which helps students ace their exams.

Start with a clear understanding of the basics. WBBSE’s curriculum is designed in a way that builds upon concepts from previous years, and Class 10 is no different. Focus on topics such as algebra, geometry, statistics, and trigonometry. Books like R.D. Sharma and S. Chand’s Mathematics are excellent at breaking down complex ideas into simple terms. They provide a wealth of examples that help students grasp the fundamentals before moving on to more challenging problems.

Time management is crucial, especially during the board exams. Books like Arihant's All in One and Laxmi Publications are helpful because they not only teach you the concepts but also offer time-saving techniques. These books include model papers and practice sets that simulate the actual exam, which helps improve both accuracy and speed. Students who master these tricks can often answer questions more quickly, leaving time to review their answers.

For students who find certain topics difficult, Dinesh’s Algebra and R.S. Aggarwal’s books provide additional focus on algebraic expressions, equations, and other important sections. The exercises are designed to gradually increase in difficulty, which helps build confidence. If geometry is your weak point, books like Kishore Kendra offer comprehensive explanations with diagrams, making it easier to visualize and solve problems.

Statistics is another vital area of the WBBSE Class 10 Math syllabus. Practice questions related to mean, median, mode, and probability can be found in books like R.N. Gupta and NCERT’s Mathematics. These books not only explain the theory but also provide plenty of practice to master statistical calculations.

In addition to books, students should make it a habit to solve previous years’ question papers. This will give them a better understanding of the exam pattern and allow them to gauge their preparation. Books such as Mathematics Class 10 by Cengage Learning are specifically designed to cover previous years’ questions, which will help students familiarize themselves with the types of problems that frequently appear in the exam.

Lastly, consistency is key. Devote regular time each day to study, focusing on weaker areas first, and gradually progress towards more complex topics. Practice as much as possible to build fluency in solving problems.

---