List of top Questions asked in CBSE Class X- 2026

In the adjoining figure, $\triangle OAB$ is an equilateral triangle and the area of the shaded region is $750\pi$ cm$^2$. Find the perimeter of the shaded region.

Find the ratio of area of shaded region in figure (i) to that of figure (ii).

The mode of the following data is 3.286. Find the mean and median of the above data.

A watermelon vendor arranged the watermelons similar to shown in the adjoining picture. The number of watermelons in subsequent rows differ by 'd'. The bottommost row has 101 watermelons and the topmost row has 1 watermelon. There are 21 rows from bottom to top. Based on the above information, answer the following questions :
(i) Find the value of 'd'.
(ii) How many watermelons will be there in the 15th row from the bottom?
(iii) (a) Find the total number of watermelons from bottom to top. OR
(iii) (b) If the number of watermelons in the nth row from top is equal to
the number of watermelons in the nth row from bottom, find the value of n.

Mishika and Sahaj created a bird-bath from a cylindrical log of wood by scooping out a hemispherical depression. Cylinder length is 2 m (0.6 m in earth) and diameter is 1.4 m.
(i) Radius of depression?
(ii) Volume of water in hemisphere in terms of $\pi$?
(iii) (a) Total surface area of log above ground? OR
(iii) (b) Volume of log above ground?

A flagstaff 7.32 m long is at the top of a 10 m tall building. Rope $l_1$ (to building top) makes 30°. Rope $l_2$ (to flagstaff top) makes $\theta$.
(i) Find x.
(ii) Find $\theta$.
(iii) (a) Total length of ropes? OR
(iii) (b) Which rope is longer and by how much?

The HCF of 960 and 432 is :

The natural number 2 is :

For any natural number n, $6^n$ ends with the digit :

A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 mm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors as shown in figure. Based on the above information, answer the following questions :

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes. A competitor starts from the bucket, picks up the nearest potato, runs back to the bucket to drop it in, then returns to pick up the next potato. This process continues until all the potatoes are in the bucket. Based on the above information, answer the following questions :

Radio towers are built in two sections 'A' and 'B'. Tower is supported by wires from a point 'O' (as shown in figure). Distance between the base of the tower and point 'O' is 6 m. From point 'O', the angle of elevation of the top of the section 'B' is $30^{\circ}$ and the angle of elevation of the top of section 'A' is $60^{\circ}$. Based on the above information, answer the following questions :

Elevated water storage tanks are built to store and supply water to nearby colonies. In the diagram given above, AB is an elevated water tank and CD is a nearby multistorey building. The building is 54 metres away from the water tank. From a window (W ) of the building, the angle of elevation of top of the tank is 45◦ and angle of depression of its foot is 30◦.

An arch of a railway bridge, built on Chenab riverbed, is shown in the above diagram. It is a parabolic arch connecting two hills at P and Q. If the parabolic curve is represented by the polynomial p(x) = −0.0025x² − 0.025x + 136.
Observe the diagram and based on above information, answer the following questions:

A wall mounted lamp, made of fabric, is shown below. Lamp has cuboidal shape, open from top and bottom. A spherical bulb of diameter 7 cm is latched with a very thin rod. (Ignore the rod while making calculations.) Dimensions of the cuboid are 24 cm × 12 cm × 17 cm.