Q. The H.C.F. of $12$ and $18$ is $6$. Find their L.C.M.

Q. If $T_n=n^2+3$ then the value of $T_3$ is

1. $6$
2. $9$
3. $12$
4. $27$

Q. Given $\sqrt{3}\tan \theta =1$ and $\theta$ is an acute angle. Find the value of $\sin 3\theta$

Q. State Pythagoras theorem.

Q. Solve the quadratic equation $x^2-4x+2=0$ by formula method.

Q. Arithmetic mean of $2$ and $8$ is

1. $5$
2. $10$
3. $16$
4. $3.2$

Q. Rationalise the denominator and simplify:
$\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$

Q. Write the formula to find the total surface area of a cylinder.

Q. If $U=\{1,2,3,4,5\}$ and $A=\{2,4,5\}$ then find $A^{\prime }$.

Q. In a group of people, $12$ people know music, $15$ people know drawing and $7$ people know both music and drawing. If people know either music or drawing then calculate the number of people in the group.

Q. The radius of a cone is $7cm$ and its slant height is $10cm$. Calculate the curved surface area of the cone.

Q. The degree of the polynomial $2x^2-4x^3+3x+5$ is

1. $0$
2. $1$
3. $2$
4. $3$

Q. Calculate the volume of a right circular cylinder whose radius is $7cm$ and height is $10cm$.

Q. If the probability of winning a game is $0.3$, then what is the probability of losing it?

1. $0.3$
2. $0.1$
3. $1.3$
4. $0.7$

Q. Calculate the maximum number of diagonals that can be drawn in an octagon using the suitable formula

Q. If the standard deviation of a set of scores is $1.2$ and their mean is $10$, then the coefficient of variation of the scores is

1. $20$
2. $0.12$
3. $120$
4. $12$

Q. Two circles of diameters $10cm$ and $4cm$, touch each other externally. Find the distance between their centres (in $cm$).

Q. The slope of the straight line whose inclination is ${60}^{\circ }$ is

1. $0$
2. $\frac{1}{\sqrt{3}}$
3. $-\sqrt{3}$
4. $\sqrt{3}$

Q.

In the following figure, $DE\parallel AB$. If $AD=7cm,CD=5cm$ and $BC=18cm$, find $CE$.

Q. There are $500$ wrist watches in a box. Out of these $50$ wrist watches are found defective. One watch is drawn randomly from the box. Find the probability that wrist watch chosen is a defective watch.

Q. Find the polynomial which is to be added to $P\left(x\right)=x^4+2x^3-2x^2+x-1$, so that the resulting polynomial is exactly divisible by $x^2+2x-3$

Q. If $f\left(x\right)=2x^2+3x+2$ then find the value of $f\left(2\right)$

Q. Draw a plan using the information given below:
$[Scale:20m=1cm]$

	Metre To $D$
$40$ to $E$	$160$ $120$ $80$ $40$	$60$ to $C$ $40$ to $B$
	From $A$

Q. Find the product of $\sqrt{3}$ and $\sqrt[3]{32}$.

Q. Find the coordinates of the mid-point of the line segment joining the points $(2,3)$ and $(4,7)$.

Q. Prove that $2+\sqrt{5}$ is an irrational number.

Q. The distance between the origin and the point $(4,-3)$ is

1. $-12$ units
2. $7$ units
3. $1$ unit
4. $5$ units

Q. If $\sin \theta =\frac{3}{5}$, then the value of $\text{cosec}\theta$ is

1. $\frac{5}{4}$
2. $\frac{5}{3}$
3. $\frac{4}{3}$
4. $\frac{4}{5}$

Q. Construct a tangent at any point $P$ on a circle of radius $3cm$

Q. Find out the quotient and the remainder when
$P\left(x\right)=x^3+4x^2-5x+6$ is divided by $g\left(x\right)=x+1$