Class 10 Mathematics questions for CBSE

If a polynomial has zeroes at x = 2 and x = -3, what is its polynomial expression?

Calculate the distance between the points (1, 2) and (4, 6) using the distance formula.

Using the section formula, find the coordinates of a point that divides the line segment joining (2, 3) and (4, 5) in the ratio 1:1.

If the number 180 has a prime factorization of 2² × 3² × 5, what is the total number of divisors it has?

Which of the following rational numbers has a terminating decimal expansion?

According to the Fundamental Theorem of Arithmetic, how can every integer greater than 1 be expressed?

Which method would you use to solve the quadratic equation x² = 16 by completing the square?

What is the discriminant of the quadratic equation 2x² + 3x + 1 = 0?

Solve the equation x² - 6x + 8 = 0 by completing the square. What are the roots?

Using the identity sin²(θ) + cos²(θ) = 1, if cos(θ) = 1/2, what is sin(θ)?

What is the value of sin(30°)?

If sin(θ) = 3/5, what is cos(θ) using the Pythagorean identity?

In a card game, what is the probability of drawing an Ace from a standard deck of 52 cards?

A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball?

In solving the equations 3x + 4y = 10 and 5x + 2y = 12 using the cross-multiplication method, what would be the first step?

If you have the equations 2x + 3y = 6 and 4x - y = 5, which method can be used to solve for x and y by substituting one variable?

In an arithmetic progression, if the 5th term is 20 and the 10th term is 35, what is the common difference?

The sum of the first 20 terms of an arithmetic progression is 1000. If the first term is 10, what is the common difference?

A sequence of numbers starts with 3, 7, 11. What is the common difference of this arithmetic progression?

Solve the pair of equations using the cross-multiplication method: 3x + 4y = 10 and 2x - y = 1.