Maths Subject Matter Expert

10+ Maths Subject Matter Expert Interview Questions and Answers

Updated 17 Jan 2025
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Q1. What is chord diameter radius in a circle

Ans.

The chord is a line segment connecting two points on a circle. The diameter is a chord that passes through the center of the circle. The radius is the distance from the center to any point on the circle.

  • Chord is a line segment connecting two points on a circle

  • Diameter is a chord that passes through the center of the circle

  • Radius is the distance from the center to any point on the circle

  • Chord length can be calculated using the Pythagorean theorem

Q2. Explain how do you integrate a concept in real-life?

Ans.

Integrating a concept in real-life involves connecting theoretical knowledge to practical applications.

  • Identify a real-life scenario where the concept can be applied

  • Explain the concept in simple terms to relate it to the scenario

  • Demonstrate how the concept can solve a problem or improve a situation

  • Encourage hands-on activities or experiments to reinforce understanding

Q3. how can you make videos on different maths concepts

Ans.

To make videos on different maths concepts, one can use visual aids, step-by-step explanations, real-life examples, and interactive elements.

  • Use visual aids such as diagrams, graphs, and animations to explain complex concepts.

  • Provide step-by-step explanations to help viewers understand the logic behind each concept.

  • Use real-life examples to show the practical applications of the maths concepts being discussed.

  • Incorporate interactive elements like quizzes or problem-solving ex...read more

Q4. What is sector? What is LCM

Ans.

A sector is a portion of a circle enclosed by two radii and an arc. LCM stands for Least Common Multiple.

  • A sector is a part of a circle enclosed by two radii and an arc

  • The area of a sector can be calculated using the formula (θ/360) * π * r^2, where θ is the central angle and r is the radius

  • LCM is the smallest multiple that is divisible by two or more numbers

  • LCM is used in various mathematical calculations such as adding and subtracting fractions with different denominators

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Q5. Explain divergence theorem Formula of surface in space created by rotating a curve

Ans.

Divergence theorem relates a triple integral over a region to a surface integral over the boundary of the region.

  • Divergence theorem, also known as Gauss's theorem, states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of the field over the region enclosed by the surface.

  • It is a fundamental theorem in vector calculus and has applications in physics, engineering, and fluid dynamics.

  • For example, in electromagnetism, the...read more

Q6. How many marks in maths in 10 and 12?

Ans.

Marks in maths in 10th and 12th grades vary depending on the curriculum and grading system.

  • In most educational systems, students are graded on a scale of 0-100 or 0-10 in maths.

  • The passing marks in maths can range from 33% to 50% depending on the board or university.

  • Some boards may have different marking schemes for 10th and 12th grades.

  • For example, in CBSE board in India, the passing marks for 10th grade maths is 33% while for 12th grade it is 40%.

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Q7. Give difference between stokes theorem and divergence theorem

Ans.

Stokes theorem relates a surface integral over a closed surface to a line integral around its boundary, while divergence theorem relates a volume integral of a vector field to a surface integral of its divergence.

  • Stokes theorem deals with the circulation of a vector field around a closed curve in space, while divergence theorem deals with the flow of a vector field through a closed surface in space.

  • Stokes theorem is a special case of the divergence theorem when the vector fie...read more

Q8. How many marks in 12?

Ans.

Marks in 12 refers to the total score or points achieved in a particular assessment or exam.

  • Marks in 12 could refer to the total score obtained in a test, exam, or assignment.

  • It could also represent the grading system where 12 might be the maximum achievable score.

  • In some contexts, 'marks in 12' could indicate a percentage out of 12 points.

  • For example, if a student scored 9 out of 12, their marks in 12 would be 9.

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Q9. What is law of triangle.

Ans.

The law of triangles states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

  • The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

  • This law is also known as the triangle inequality theorem.

  • For example, in a triangle with side lengths of 3, 4, and 5, 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Q10. Tell me the Laplace equation

Ans.

The Laplace equation is a second-order partial differential equation that describes the behavior of harmonic functions.

  • The Laplace equation is written as ∇^2f = 0, where ∇^2 is the Laplacian operator.

  • It is used in physics to describe the behavior of electric and gravitational fields.

  • Solutions to the Laplace equation are called harmonic functions.

  • Examples of harmonic functions include the electric potential in a region with no charge and the gravitational potential in a region...read more

Q11. Explain Laplace transform formula

Ans.

Laplace transform formula is a mathematical tool used to transform a function of time into a function of complex frequency.

  • The Laplace transform of a function f(t) is defined as F(s) = L{f(t)} = ∫[0,∞] e^(-st) * f(t) dt

  • It is commonly used in engineering and physics to solve differential equations

  • Example: Laplace transform of f(t) = 1 is F(s) = 1/s

Q12. What is sin15 value

Ans.

The value of sin15 is approximately 0.2588.

  • sin15 can be calculated using trigonometric functions.

  • sin15 = sin(45 - 30) = sin45*cos30 - cos45*sin30

  • sin15 = (√2/2 * √3/2) - (√2/2 * 1/2)

  • sin15 ≈ 0.2588

Q13. Diameter of a circle

Ans.

The diameter of a circle is a straight line passing through the center of the circle and connecting two points on the circumference.

  • The diameter is always twice the length of the radius of the circle.

  • The formula to calculate the diameter of a circle is: diameter = 2 * radius

  • For example, if the radius of a circle is 5 cm, the diameter would be 10 cm.

Q14. Radius of a circle

Ans.

The radius of a circle is the distance from the center of the circle to any point on its circumference.

  • The radius is half the diameter of the circle.

  • It is a constant distance from the center to any point on the circle.

  • The formula to calculate the circumference of a circle using the radius is 2 * pi * radius.

  • The formula to calculate the area of a circle using the radius is pi * radius^2.

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