List of top Questions asked in CBSE Class X- 2026

A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surface areas are in the ratio 8 : 5, then find the ratio between the radius of their bases to their height.
The marks obtained by 80 students of class X in a mock test of Mathematics are given below in the table. Find median and the mode of the data :


Two concentric circles are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle.
The natural number 2 is :
Assertion (A) : The polynomial $p(y) = y^2 + 4y + 3$ has two zeroes.
Reason (R) : A quadratic polynomial can have at most two zeroes.
Do the points P(1, 0), Q($-$5, 0) and R($-$2, 5) form a triangle ? If so, name the type of triangle formed.
Assertion (A) : The probability that a leap year has 53 Mondays is $\frac{2}{7}$.
Reason (R) : The probability that a non-leap year has 53 Mondays is $\frac{5}{7}$.
The HCF of 960 and 432 is :
A die is thrown once. Probability of getting a number other than 3 is :
If the mean and mode of a data are 12 and 21 respectively, then its median is :
In the given figure, PA is a tangent from an external point P to a circle with centre O. If $\angle\text{POB} = 125^\circ$, then $\angle\text{APO}$ is equal to :
The radius of a sphere (in cm) whose volume is $36\pi \text{ cm}^3$, is :
In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of $45^\circ$ at the centre. If the radius of the circle is $32 \text{ cm}$, then the length of the arc XYZ is :
Shown in the given figure is a circle with centre O. The area of the minor sector is $7 \text{ cm}^2$. Area of circle is :
Given that $\sin\theta = \frac{a}{b}$, then $\cos\theta$ is equal to :
If $\cos A = \frac{1}{2}$, then the value of $\sin^2 A + 2\cos^2 A$ is :
If TP and TQ are two tangents to a circle with centre O from an external point T so that $\angle\text{POQ} = 120^\circ$, then $\angle\text{PTQ}$ is equal to :
The string of a flying kite is tied to a point on the ground. The length of the string between the kite and the point on the ground is 80 m. The string makes an angle of $30^\circ$ with the ground. The height of the kite above the ground is :
The common difference of the AP : $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}, \dots$ is :
If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has :
If $\Delta$ ABC and $\Delta$ DEF are similar such that $2 \text{ AB} = \text{DE}$ and $\text{BC} = 8 \text{ cm}$, then EF is equal to :
The mid-point of the line segment joining the points $(5, -4)$ and $(6, 4)$ lies on :
For any natural number $n$, $6^n$ ends with the digit :
The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :
Case Study - 1 : A model of Leafy Ball Fountain is made to be kept on the tabletop. Water gently cascades down the ball into a decorative cylindrical pool where it is recycled. The diameter of spherical ball is 21 cm. Cylindrical pool - Outer diameter is 50 cm and inner diameter is 40 cm. Height of solid base is 14 cm. Height of water filled is 7 cm. Observe the figure and answer the following questions : (i) Determine the total height of the fountain. (ii) Find the volume of the ball. (iii) (a) If one-third of the ball is submerged in the water, find the volume of the water filled in the pool. OR (iii) (b) Find the sum of the outer curved surface area of the cylindrical part and surface area of the ball.