List of top Mathematics Questions asked in CBSE Class X

Assertion (A): Zeroes of a polynomial \(p(x) = x^2 − 2x − 3\) are -1 and 3.
Reason (R): The graph of polynomial \(p(x) = x^2 − 2x − 3\) intersects the x-axis at (-1, 0) and (3, 0).
The graph of a polynomial intersects the y-axis at one point and the x-axis at two points. The number of zeroes of this polynomial are :
For what value of \(\theta\), \(\sin^2\theta + \sin\theta + \cos^2\theta\) is equal to 2?
The diameter of a circle is of length 6 cm. If one end of the diameter is \((-4, 0)\), the other end on \(x\)-axis is at:
The mid-point of the line segment joining the points \((-1, 3)\) and \(\left(8, \frac{3}{2}\right)\) is:
The perpendicular bisector of the line segment joining the points A(–1, 3) and B(2, 4) cuts the y-axis at :
The distance between the points \((2, -3)\) and \((-2, 3)\) is:
The perpendicular bisector of the line segment joining the points A(–1, 3) and B(2, 4) cuts the y-axis at :
A card is drawn from a well-shuffled deck of 52 playing cards. The probability that drawn card is a red queen, is:
Two dice are rolled together. The probability of getting a doublet is:
The probability of getting a sum of 8, when two dice are thrown simultaneously, is :
A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is :
Two friends were born in the year 2000. The probability that they have the same birthday is :
If probability of winning a game is \(p\), then probability of losing the game is:
A card is drawn from a well-shuffled deck of 52 playing cards. The probability that drawn card is a red queen, is:
Two dice are rolled together. The probability of getting a doublet is:
The probability of getting a sum of 8, when two dice are thrown simultaneously, is :
A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is :
Two friends were born in the year 2000. The probability that they have the same birthday is :
If tan A = 3 cot A, then the measure of the angle A is :
If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $f(x) = 6x^2 + 11x - 10$, find the value of $\frac{\alpha}{\beta} + \frac{\beta}{\alpha}$.
The vertices of a quadrilateral ABCD are A(6, – 2), B(9, 2), C(5, – 1) and D(2, – 5). Prove that ABCD is a rhombus, and not a square.
Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube.
The interior of a building is in the form of a cylinder of base radius 12 m and height 3×5 m surmounted by a cone of equal base and slant height 14 m. Find the internal curved surface area of the building.
Solve for $x$: \[ \frac{4}{x} - \frac{5}{2x + 3} = 3. \]