Class 10 Mathematics questions for CBSE

Use the substitution method to solve the equations: x + y = 8 and 2x - y = 3.

Graphically represent the solution of the system of equations x + y = 10 and x - y = 2.

If tan A = 1, find the value of sin A and cos A for the complementary angle.

In the given triangle ABC, AB = 6 cm, BC = 8 cm and AC = 10 cm. Use the figure to verify that the triangle is right-angled.

Demonstrate that the number 24 can be expressed as a product of its prime factors.

Convert the fraction 7/8 into a decimal expansion and state whether it is terminating or non-terminating.

Use Euclid's Division Lemma to find the HCF of 56 and 98.

Find the roots of the quadratic equation x^2 - 5 = 0 using the method of completing the square.

Identify the nature of the roots of the quadratic equation 2x^2 + 4x + 2 = 0.

Solve the quadratic equation x^2 - 6x + 8 = 0 by completing the square.

If the first term of an AP is 7 and the common difference is 2, describe the nature of the sequence formed.

Determine the 15th term of the arithmetic progression 5, 10, 15, ...

Find the sum of the first 10 terms of the arithmetic progression where the first term is 2 and the common difference is 3.

Find the slant height of a frustum of a cone with radii 5 cm and 3 cm, and a height of 4 cm.

Calculate the volume of a cylinder with a radius of 3 cm and a height of 7 cm.

For the polynomial p(x) = x^2 - 5x + 6, find the relationship between its zeroes and coefficients.

Divide the polynomial 2x^3 + 3x^2 - x + 5 by x - 1 using the division algorithm.

A polynomial has zeroes at x = -2 and x = 3. Write its polynomial expression in standard form.

Use the section formula to find the coordinates of a point that divides the line segment joining A(2, 3) and B(8, 5) in the ratio 3:2.

Determine the area of a triangle with vertices at A(1, 1), B(4, 5), and C(7, 2).