CBSE Class 10 Maths Viva Questions with Answers 2025: Preparing for the CBSE Class 10 Maths Viva 2025 may seem challenging, but it is a great way to showcase your problem-solving skills and conceptual clarity. The Maths practical exam is an essential part of the assessment, evaluating students on their understanding of formulas, calculations, and real-life applications.
The viva questions test students on fundamental concepts, theorems, and problem-solving techniques. For the 2024-25 session, students must prepare well, as the viva contributes to their overall practical marks along with project work and lab activities.
To score well, students should focus on key topics, practice different types of questions, and strengthen their logical reasoning skills. This article provides CBSE Class 10 Maths Viva Questions with Answers, covering important concepts, step-by-step solutions.
Preparing for the CBSE Class 10 Maths Viva is crucial for scoring well in the practical exams. The viva assesses students' understanding of theorems, formulas, and mathematical concepts through oral questions. Solving these questions helps in strengthening conceptual clarity and improving problem-solving skills.
As per cbse.gov.in, the Class 10 practical exams for 2025 will be conducted between January 1 and February 14, with the exact Maths viva date varying across schools. The viva carries 4 marks, and students must prepare thoroughly to maximize their scores.
The questions in the viva are based on important theorems and activities covered in textbooks. To help students, we have compiled 50+ important viva questions with answers, ensuring a strong grasp of key topics and subtopics. Preparing these questions will not only boost confidence but also help in achieving better results in the CBSE Class 10 Maths practical exam.
Also Check: CBSE Class 10 Science Viva Questions
Q1. What is the Fundamental Theorem of Arithmetic?
Ans. It states that every composite number can be expressed as a product of prime numbers in a unique way, apart from the order of factors.
Q2. How do you find the HCF of two numbers using the Euclidean algorithm?
Ans. Divide the larger number by the smaller one and take the remainder. Repeat this process until the remainder is zero; the last divisor is the HCF.
Q3. What is the degree of a polynomial?
Ans. It is the highest power of the variable in the polynomial.
Q4. State the relationship between the zeroes and coefficients of a quadratic polynomial.
Ans. If the polynomial is ax² + bx + c, then Sum of Zeroes = -b/a and Product of Zeroes = c/a.
Q5. What is the condition for two linear equations to have a unique solution?
Ans. For a₁/a₂ ≠ b₁/b₂, the system has a unique solution.
Q6. What is the discriminant of a quadratic equation?
Ans. It is given by D = b² - 4ac and determines the nature of the roots.
Q7. What does it mean when D > 0 in a quadratic equation?
Ans. The equation has two distinct real roots.
Q8. What is the general form of an arithmetic progression (AP)?
Ans. a, a + d, a + 2d, a + 3d, ... where 'a' is the first term and 'd' is the common difference.
Q9. How do you find the sum of n terms in an AP?
Ans. Sₙ = (n/2) × [2a + (n - 1)d]
Q10. What is the formula to find the nth term of an AP?
Ans. aₙ = a + (n - 1)d
Q11. What is the difference between a terminating and non-terminating decimal?
Ans. A terminating decimal ends, while a non-terminating decimal continues indefinitely.
Q12. What is the distance formula in coordinate geometry?
Ans. d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Q13. How do you find the midpoint of a line segment?
Ans. Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Q14. What is the section formula?
Ans. (mx₂ + nx₁) / (m + n), (my₂ + ny₁) / (m + n) divides a line in the ratio m:n.
Q15. What is the equation of a circle with center (h, k) and radius r?
Ans. (x - h)² + (y - k)² = r²
Q16. What is the Pythagoras Theorem?
Ans. In a right-angled triangle, (Hypotenuse)² = (Base)² + (Height)².
Q17. What is the area of a triangle using Heron’s formula?
Ans. A = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2
Q18. How do you find the volume of a cylinder?
Ans. V = πr²h
Q19. What is the total surface area of a sphere?
Ans. 4πr²
Q20. What is the probability of an impossible event?
Ans. 0 (zero), since it can never happen.
Q21. What is the sum of all probabilities of possible outcomes in an experiment?
Ans. Always equal to 1.
Q22. How do you calculate the mean of a data set?
Ans. Mean = (Sum of all values) / (Number of values)
Q23. What is the mode in statistics?
Ans. The most frequently occurring value in a data set.
Q24. What is the formula for the median in grouped data?
Ans. Median = L + [(n/2 - cf)/f] × h
Q25. How do you find the surface area of a cone?
Ans. πr(l + r), where l is the slant height.
Q26. What is the sine rule in trigonometry?
Ans. sinA/a = sinB/b = sinC/c
Q27. How do you calculate the length of an arc in a circle?
Ans. Arc length = (θ/360) × 2πr
Q28. What is the formula for the perimeter of a sector?
Ans. 2r + (θ/360) × 2πr
Q29. What is the value of sin 90° and cos 90°?
Ans. sin 90° = 1, cos 90° = 0
Q30. How do you find the probability of an event happening?
Ans. Probability = (Number of favorable outcomes) / (Total outcomes)
Q31. What is the formula for the tangent of an angle?
Ans. Tanθ = opposite/adjacent
Q32. How do you calculate the surface area of a sphere?
Ans. Surface Area = 4πr²
Q33. What is the cube root of 1728?
Ans. 12
Q34. Is 125 a perfect cube? True or False?
Ans. True
Q35. What is the sum of the interior angles of a triangle?
Ans. 180 degrees
Q36. What is the area formula for a triangle?
Ans. Area = ½ × base × height
Q37. If 'x' is the side of a square, what is its perimeter?
Ans. Perimeter = 4x
Q38. How do you calculate the volume of a cylinder?
Ans. Volume = πr²h
Q39. A hexagon has how many sides?
Ans. 6 sides
Q40. How do you find the median in a frequency distribution?
Ans. The median is found by locating the middle value in the arranged dataset.
Q41. What is the formula for calculating the mean of a dataset?
Ans. Mean = Sum of all values / Number of values
Q42. What is the relationship between the hypotenuse and legs in a right-angled triangle according to Pythagoras' theorem?
Ans. Hypotenuse² = leg₁² + leg₂²
Q43. What is the probability of an impossible event occurring?
Ans. Probability = 0
Q44. How do you calculate the circumference of a circle?
Ans. Circumference = 2πr
Q45. If the radius of a circle is 'r', what is its area?
Ans. Area = πr²
The CBSE Class 10 Maths viva exam is an essential part of the Internal Assessment, contributing 20 marks to the final score. To pass, students must secure at least 33% marks in each subject, including viva and practical components.
Breakdown of Internal Assessment (20 Marks)
Here are some of the top recommended books for preparing for CBSE Class 10 Maths Viva Questions with Answers 2024-25:
Questions often focus on the objectives of the practical activities, the methods used, calculations performed, results obtained, formulas and interpretations of findings related to mathematical concepts.
To prepare effectively, students should review their practical work thoroughly, understand key mathematical concepts, practice explaining their procedures clearly, and engage in discussions with peers or teachers to enhance their confidence.
Common questions in Maths practicals include how to calculate areas and volumes (e.g., area of a triangle, volume of a cylinder), applying formulas like Pythagoras’ Theorem, and finding statistical measures like mean, median, and mode. Questions also involve verifying the properties of shapes and measuring real objects to confirm theoretical results.
Key topics include linear equations, the Pythagorean theorem, arithmetic progressions, surface area and volume calculations, and properties of similar triangles, as these areas are frequently tested.
Students can showcase their understanding by clearly articulating the purpose of each activity, explaining their calculations step-by-step, discussing the significance of their results, and connecting practical work to theoretical knowledge.
Strategies include thorough preparation of activities, practicing problem-solving techniques regularly, reviewing key formulas and concepts frequently, and engaging actively during the viva by asking questions when unsure.