Class 10 previous year questions (PYQ)

The probability of the month of April of a leap year having $5$ Fridays is $\ldots \ldots \ldots$

Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

Assertion (A): Money serves as an indispensable medium of exchange in modern market economies.

Reason (R): Money eliminates the need for double coincidence of wants inherent in barter trade systems.

If two zeroes of the polynomial $x^{4}-6 x^{3}-26 x^{2}+138 x-35$ are $2 \pm \sqrt{3},$ find other zeroes.

Find the zeros of the following quadratic polynomial: $p(x) = 4x^2 - 256$.

According to the Bronsted-Lowry acid-base theory,which ion is responsible for the acidity of an aqueous solution of an acid?

In $H_{3}O^{+}$,there is a coordinate covalent bond between $......$ and $......$.

If a positive integer is of the form $3q + 1$,where $q$ is a natural number,then its square can be written in the form $3m + 1$. Is the statement true or false?

Metallic spheres of radii $6 \, cm$,$8 \, cm$,and $10 \, cm$,respectively,are melted to form a single solid sphere. Find the radius of the resulting sphere (in $cm$).

Given the linear equation $2x + 3y - 8 = 0$,write another linear equation in two variables such that the geometrical representation of the pair so formed is intersecting lines.

Find a cubic polynomial with the sum,sum of the product of its zeroes taken two at a time,and the product of its zeroes as $2, -7, -14$ respectively.

In $\Delta ABC$,$m \angle B = 90^{\circ}$ and $\overline{AD}$ is a median. Prove that $AC^{2} = 4AD^{2} - 3AB^{2}$.

How do the guard cells regulate the opening and closing of stomatal pores?

The Least Common Multiple $(LCM)$ of the smallest prime number and the smallest composite number is ..........

How many silver coins,$1.75 \,cm$ in diameter and of thickness $2 \,mm$,must be melted to form a cuboid of dimensions $5.5 \,cm \times 10 \,cm \times 3.5 \,cm$? [Take $\pi = \frac{22}{7}$]

Examine whether the following equation is quadratic or not: $\frac{x-2}{x+2} - \frac{x+2}{x-2} = \frac{3}{7}$

In an $AP$ given $a=3, n=8, S_n=192,$ find $d$.

Explain,giving any three reasons,the significance of transpiration in plants.

In $\Delta ABC$,$m \angle B = 90^{\circ}$ and $\overline{BM}$ is an altitude to the hypotenuse $\overline{AC}$. If $AM = 4$ and $CM = 5$,find $AB$,$BC$,and $BM$.

The $HCF$ of $6$ and $20$ is .......

$A$ cylinder is closed at both the ends by $18\, cm$ high cones. The radius of the cylinder is $7\, cm$ and the total height of the solid is $64\, cm$. Find the volume of this solid (in $cm^3$).

For which values of $a$ and $b$ does the following pair of linear equations have infinitely many solutions?
$x + 2y = 1$
$(a - b)x + (a + b)y = a + b - 2$

Find the values of $x$ and $y$ in the following rectangle.

In $\Delta XYZ$,$m\angle Y = 90^{\circ}$ and $M$ is the midpoint of $\overline{XZ}$. If $XY = 3$ and $YZ = 4$,then $YM = \ldots$

Just as $CO_{2}$ is removed from the blood in the lungs,nitrogenous wastes such as urea or uric acid are removed from blood in the liver.