List of top Questions asked in CBSE Class X- 2026

Prove that : \(\frac{\tan A}{1 + \sec A} - \frac{\tan A}{1 - \sec A} = 2\csc A\).
In the given figure, \(\Delta ABC\) is a right triangle in which \(\angle B = 90^\circ\), \(AB = 4\) cm and \(BC = 3\) cm. Find the radius of the circle inscribed in the triangle \(ABC\).
In the given figure, if a circle touches the side \(QR\) of \(\Delta PQR\) at \(S\) and extended sides \(PQ\) and \(PR\) at \(M\) and \(N\) respectively, then prove that : \(PM = \frac{1}{2}(PQ + QR + PR)\).
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.
Two different coins are tossed simultaneously. What is the probability of getting :
(i) at least one head ?
(ii) at most one tail ?
(iii) a head and a tail ?
Prove that \(\sqrt{3}\) is an irrational number.
Find the ratio in which the \(x\)-axis divides the line segment joining the points \((6, 5)\) and \((-4, -1)\). Also find the point of intersection.
State and prove Basic Proportionality Theorem.
In the given figure, CM and RN are respectively the medians of $\Delta ABC$ and $\Delta PQR$. If $\Delta ABC \sim \Delta PQR$, then prove that : (i) $\Delta AMC \sim \Delta PNR$, (ii) $\Delta CMB \sim \Delta RNQ$.
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 :
Compare CSV, Spreadsheets, and SQL as data storage formats. Which one is best for handling massive, interrelated datasets?
Define and explain the following types of Biases: Recall Bias, Survivor Bias
Explain the four steps of the Statistical Problem-Solving Process in detail.
What is Data Merging? Mention one scenario where it is required.
Explain the concept of the Central Limit Theorem and its significance in data analysis.
Why is the Median considered a more robust measure of central tendency than the Mean when outliers are present?
Differentiate between Structured and Unstructured data with one example each.
State whether Selection Bias occurs during data collection or during model deployment.
Define Encryption in the context of data security.
In a dataset, if the mean is significantly higher than the median, what does it indicate about the distribution?
Name the type of join used to combine rows from two tables based on a related column between them.
Identify the process of dividing a dataset into 100 equal parts.
Which Python library is primarily used for Data Manipulation and Data Frames?
If \(a_n\) represents \(n^{\text{th}}\) term of the A.P. \(-\frac{15}{4}, -\frac{10}{4}, -\frac{5}{4}, \dots\) then value of \(a_{16} - a_{12}\) is
A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))