CBSE 10 Maths Question Paper-2024 Set-1

It is given that ΔABC ~ ΔDEF. If ∠A = 55°, ∠E = 45°, then ∠C is :

The area of a sector of a circle of radius 16 cm cut off by an arc, which is 18.5 cm long, is :

If tan² q = 3, where q is an acute angle, then the value of q is :

If x is a whole number, then 8x ends with an even digit, except for which value of x?

In the given figure, in ΔABC, DE || BC. If AD = 2x cm, AE = (x + 2) cm, DB = 4 cm, EC = 3 cm, then the value of x is :

The length of a tangent drawn to a circle from a point A, at a distance of 10 cm from the centre of the circle, is 6 cm. Find the radius of the circle.

If sin² q = 1/2, then the value of tan² q is :

If the difference of mode and median of a data is 24, then the difference of median and mean of the same data is :

The area of a quadrant of a circle whose circumference is 22 cm, is :

The mid-point of the line segment AB joining A(– 2, 8) and B(– 6, 4) is :

AP and AQ are tangents drawn from an external point A to a circle with centre O and inclined to each other at an angle of 90°. If the length of each tangent is 2 cm, then the radius of the circle is :

The pair of linear equations 2kx + 5y = 7, 6x + 5y = 11 have a unique solution, if :

If x is a whole number, then 8x ends with an even digit, except for which value of x?

The discriminant of the quadratic equation x² – 4x + 3 = 0 is :

A bag has 4 red balls and 2 yellow balls. A ball is drawn at random from the bag without looking into the bag. What is the probability of getting a yellow ball?

The roots of the quadratic equation x² + 3x + 2 = 0, are :

Prime factorization of 882 is :

The probability of getting number 8 on rolling a die is :

The common difference of the arithmetic progression (A.P.) 5, 1, -3, -7... is :

Assertion (A): The probability of getting number 8 on rolling a die is zero. Reason (R): The probability of an impossible event is zero.

The length of a tangent drawn to a circle from a point A, at a distance of 10 cm from the center of the circle, is 6 cm. Find the radius of the circle.

If 1/2 is a root of the quadratic equation kx² - x - 2 = 0, then find the value of k.

If a, b are zeroes of the quadratic polynomial 2x² + 7x + 5, then find the value of a² + b² + ab.

Find the coordinates of the mid-point of the line segment joining the points A(5, -3) and B(-4, 3).

The length of an arc of a circle with radius 12 cm is 10π cm. The central angle subtended by this arc at the center is :

Prove that the lengths of the tangents drawn from an external point to a circle are equal.

A horse is tied with a 14 m long rope at one corner of an equilateral triangular field having side 20 m. Find the area of the field where the horse cannot graze.