List of top Mathematics Questions asked in CBSE Compartment Exam Class X

If the given figure shows the graph of polynomial \( y = ax^2 + bx + c \), then:

In the given figure, \( PQ \) and \( PR \) are tangents to the circle such that \( PQ = 7 \, \text{cm} \) and \( \angle RPQ = 60^\circ \).

The length of chord QR is: 
 

Raina is 1.5 m tall. At an instant, his shadow is 1.8 m long. At the same instant, the shadow of a pole is 9 m long. How tall is the pole?
Cards numbered 10, 11, 12, ..., 30 are kept in a box and shuffled thoroughly. Rahit draws a card at random from the box. The probability that the number on the card is a multiple of 6 or 5 is:
The 6th term of the AP \( \sqrt{27}, \sqrt{75}, \sqrt{147}, \ldots \) is:
If \( x = p \cos^3 \alpha \) and \( y = q \sin^3 \alpha \), then the value of
\( \left( \frac{x}{p} \right)^{2/3} + \left( \frac{y}{q} \right)^{2/3} \text{ is:} \)
Find the coordinates of the point which divides the line segment joining A(3, –2) and B(5, 4) in the ratio 2:3.
The total number of factors of the square of a prime number is:

In the given figure, a circle inscribed in \( \triangle ABC \) touches \( AB, BC, \) and \( CA \) at \( X, Z, \) and \( Y \) respectively.

If \( AB = 12 \, \text{cm}, AY = 8 \, \text{cm}, \) and \( CY = 6 \, \text{cm} \), then the length of \( BC \) is:
 

M is a point on y-axis at a distance of 4 units from x-axis and it lies below the x-axis. The distance of point M from point Q(3, 1) is:
The value of \( k \) for which the pair of linear equations
\( (k+1)x + 2y = 15, \quad 4y = 3x - 8 \) has no solution, is:
If \( \tan A = \frac{3}{4} \), find \( \sin A \) and \( \sec A \).
Find the mean of the following data using the direct method:
The sum of the first 20 terms of an AP is 820. If the first term is 5, find the 20th term and the common difference.
Solve the quadratic equation: \( 2x^2 + 5x - 3 = 0 \)