List of top Questions asked in CBSE Class X- 2026

An ice-cream cone of radius r and height h is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then h : 2r equals
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
PQ is tangent to a circle with centre O. If \(\angle POR = 65^\circ\), then m\(\angle PTR\) is
The distance between the points (a cos \(\theta\) + b sin \(\theta\), 0) and (0, a sin \(\theta\) – b cos \(\theta\)) is
\(\frac{1 + \tan^2 A}{1 + \cot^2 A}\) equals to :
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is r, volume of air inside the jar is
When \(\sin A = \frac{1}{3}\), the value of \(\cot A\) is
Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is
The value of k for which the system of linear equations \(\frac{x}{2} + \frac{y}{3} = 5\) and \(2x + ky = 7\) is inconsistent, is
In the given figure, \(DE \parallel BC\). If \(\frac{AD}{DB} = \frac{1}{3}\) and \(AC = 6\) cm, then length AE is
In the given figure, a circle is centred at (1, 2). The diameter of the circle is
A circle is divided into 16 identical sectors. If radius of the circle is 7 cm, area of each sector is
Observe the graph of polynomial p(x). Number of zeroes of p(x) is
It is given that \(\Delta ABC \sim \Delta EDF\). Which of the following is not true ?
The \(n^{\text{th}}\) term of an A.P. is \(\sqrt{2}n + 1\). Its common difference is
If PQ and PR are tangents to the circle with centre O and radius 4 cm such that \(\angle QPR = 90^\circ\), then the length OP is
If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is
If \(\cos A + \sin A = \sqrt{2} \cos A\), prove that \(\cos A - \sin A = \sqrt{2} \sin A\).
Two poles of equal heights are standing opposite to each other on either side of the road which is 90 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 30\(^\circ\) and 60\(^\circ\) respectively. Find the height of the poles and the distances of the point from the poles. [Use \(\sqrt{3}\) = 1.732]
Find the mean of the following distribution :
From a solid cylinder whose height is 2.8 cm and radius 2.1 cm, a conical cavity of the same height and same radius is hollowed out. Find the volume and the total surface area of the remaining solid.
Find a relation between x and y such that the point P(x, y) is equidistant from the points A(5, 3) and B(1, 7).
Find the quadratic polynomial the sum of whose zeroes is 1 and their product is –12. Hence find the zeroes of the polynomial.
Two numbers are in the ratio 3 : 5 and their LCM is 180. Find the HCF of these two numbers.
Assertion (A) : If the Mode and Mean of a data are 12 k and 15 k, then Median of the data is 14 k.
Reason (R) : The relation between the Mean, Mode and Median of a data is : Mean = 3 Median – 2 Mode.