List of top Questions asked in CBSE Class X- 2025

If a line drawn parallel to one side of a triangle intersecting the other two sides in distinct points divides the two sides in the same ratio, then it is parallel to the third side. State and prove the converse of the above statement.

Find the zeroes of the polynomial \(r(x) = 4x^2 + 3x - 1\). Hence, write a polynomial whose zeroes are reciprocal of the zeroes of \(r(x)\).

If the points A(6, 1), B(p, 2), C(9, 4) and D(7, q) are the vertices of a parallelogram ABCD, then find the values of p and q. Hence, check whether ABCD is a rectangle or not.

Solve the following pair of equations algebraically: \[ \begin{aligned} 101x + 102y &= 304 \\ 102x + 101y &= 305 \end{aligned} \]

A bag contains balls numbered 2 to 91 such that each ball bears a different number. A ball is drawn at random from the bag. Find the probability that:

[(i)] it bears a 2-digit number
[(ii)] it bears a multiple of 1

In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).

The distance of point \(P(3a, 4a)\) from y-axis is

The system of equations \(y + a = 0\) and \(2x = b\) has

Horace ends up in prison only to regret that a man should not trust anyone blindly without finding out the truth. Do you think his own foolishness was responsible for his arrest? Give a reasoned answer.
(A Question of Trust)

In ‘The Ball Poem’, Berryman explores the themes of loss, growing up, and transformation. Mandela also experienced loss of freedom and suffering along with his countrymen during his growing years on the basis of his race and colour.
Compare and contrast the commonality of themes in both the texts.
(The Ball Poem and Nelson Mandela – Long Walk to Freedom)

Amanda and Valli both represent a longing for freedom. Examine the above observation with reference to the two texts.
(Amanda and Madam Rides the Bus)

Mijbil’s transportation to England was no less than a nightmare for the author. Justify the statement using incidents from the lesson.
(Mijbil the Otter)

Explain the reasons for Rajvir’s excitement on seeing the plantation and Pranjol’s lack of enthusiasm.
(Glimpses of India – Tea from Assam)

Mandela in his speech says, “The policy of apartheid created a deep and lasting wound in my country and my people.” Explain the significance of the word “wound” as used by Mandela.
(Nelson Mandela – Long Walk to Freedom)

Read the given details of a computer.
electronic device that can store and process information makes life easy and simple physical description — monitor, keyboard, CPU and mouse computer technology used in all fields — education, medicine, commerce, entertainment Analyze the details and write an analytical paragraph in about 120 words about the description and role of computers in today’s world.

You are Soumya Hansal / Sumit Hansal living at F-32, Shanti Nagar, Vayugarh. Seeing the inadequate healthcare infrastructure in your town, write a letter to the MLA of your area, in about 120 words, suggesting the need for improving existing healthcare facilities and creating more “Wellness Centres” including a specialized hospital for children and women.

Identify the error and supply the correction for the following note in an air purifier’s instruction manual.
The plug should fit upto the outlet. If it doesn’t fit, do not force it in.
Use the given format for your response.

Report the dialogue between two friends by completing the sentence.
Bhawna: I finished the project yesterday.
Sohail: That’s great! Are you going to present it tomorrow?
Bhawna told Sohail that............ Sohail responded that it was great and asked if she were going to present it the next day.

Identify and correct the error in the given line taken from an agency’s advertisement.
Tell us much about your project and we’ll select suitable candidates for you to hire.
Use the given format for your response.

Fill in the blank by choosing the correct option, to complete the sentence taken from a book about ‘Birds’.
Each year, thousands of birds .......... (migrate/immigrate/emigrate) southwards to avoid the harsh winter, embarking on an incredible journey that spans thousands of miles.

Read the given sentence. Identify the error and supply the correction in the sentence.
Ninety-seven percent of the Earth’s water is salty ocean water and another two percent is trapping in the Earth’s ice caps and glaciers.

Find the ‘mean’ and ‘mode’ marks of the following data:

Find the zeroes of the polynomial \(2x^2 + 7x + 5\) and verify the relationship between its zeroes and coefficients.

\(\alpha, \beta\) are zeroes of the polynomial \(3x^2 - 8x + k\). Find the value of \(k\), if \(\alpha^2 + \beta^2 = \dfrac{40}{9}\)

Prove that \(\dfrac{\sin \theta}{1 + \cos \theta} + \dfrac{1 + \cos \theta}{\sin \theta} = 2\csc \theta\)