Q. A shopkeeper bought a washing machine at a discount of $20\%$ from a wholesaler, the printed price of the washing machine being Rs. $18,000$. The shopkeeper sells it to a consumer at a discount of $10\%$ on the printed price. If the rate of sales tax is $8\%$ find the total amount that the consumer pays for the washing machine.

Q. A die has $6$ faces marked by the given numbers as shown below:
The die is thrown once. What is the probability of getting an integer greater than $-3$?

Q. In $△ABC,\angle ABC=\angle DAC,AB=8cm,AC=4cm,AD=5cm$.

Q. In the figure, $\angle DBC={58}^{\circ }.BD$ is a diameter of the circle. Calculate $\angle BAC$ (in ${}^{\circ }$)

Q. A die has $6$ faces marked by the given numbers as shown below:
The die is thrown once. What is the probability of getting the smallest integer?

Q. The surface area of a solid metallic sphere is $2464c{m}^2$. Calculate the radius of the sphere (in $cm$).

Q. A die has $6$ faces marked by the given numbers as shown below:
The die is thrown once. What is the probability of getting a positive integer?

Q. Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs. $800$ per month for $1\frac{1}{2}$ years. If he received Rs. $15,084$ at the time of maturity, find the rate of interest per annum.

Q. Using graph paper (take $2cm=1$ unit on both axis), plot the points $A(-4,2)$ and $B(2,4)$

Q. In $△ABC,\angle ABC=\angle DAC,AB=8cm,AC=4cm,AD=5cm$. Find $BC$ and $CD$.

Q. Find the values of $x$, which satisfy the inequation $-2\frac{5}{6}<\frac{1}{2}-\frac{2x}{3}\le 2,x\in W$.

Q. Calculate the ratio in which the line joining $A(-4,2)$ and $B(3,6)$ is divided by point $P(x,3)$. Also find length of $AP$

Q. A shopkeeper bought a washing machine at a discount of $20\%$ from a wholesaler, the printed price of the washing machine being Rs. $18,000$. The shopkeeper sells it to a consumer at a discount of $10\%$ on the printed price. If the rate of sales tax is $8\%$ find the VAT paid by the shopkeeper (in Rs.).

Q. Salman invests a sum of money in Rs. $50$ shares, paying $15\%$ dividend quoted at $20\%$ premium. If his annual dividend is Rs. $600$, calculate the number of shares he bought

Q. Ranbir borrows Rs. $20,000$ at $12\%$ per annum compound interest. If he repays Rs. $8400$ at the end of the first year and Rs. $9680$ at the end of the second year, find the amount of loan (in Rs.) outstanding at the beginning of the third year.

Q. Using the Remainder and Factor Theorem, factorise the following polynomial: $x^3+10x^2-37x+26$

Q. In the figure, $\angle DBC={58}^{\circ }.BD$ is a diameter of the circle. Calculate $\angle BEC$ (in degrees).

Q. Using graph paper, (take $2cm=1$ unit on both axis), plot $A(-4,2)$ and $B(2,4)$. $A^{\prime }$ is the image of $A$ when reflected in the $y$-axis. Plot it on the graph paper and write the coordinates of $A^{\prime }$. $B^{\prime }$ is the image of $B$ when reflected about the line $A{A}^{\prime }$. Join $A-B-A^{\prime }-B^{\prime }$ and name the quadrilateral.

Q. Find $x+y$ if $\left[\begin{array}{cc}-2& 0\\ 3& 1\end{array}\right]\left[\begin{array}{c}-1\\ 2x\end{array}\right]+3\left[\begin{array}{c}-2\\ 1\end{array}\right]=2\left[\begin{array}{c}y\\ 3\end{array}\right].$

Q. Salman invests a sum of money in Rs. $50$ shares, paying $15\%$ dividend quoted at $20\%$ premium. If his annual dividend is Rs. $600$, calculate the rate of return on his investment.

Q. The number $6,8,10,12,13$ and $x$ are arranged in an ascending order. If the mean of the observations is equal to the median, find the value of $x$

Q. Find the value of $a$ for which the following points $A(a,3),B(2,1)$ and $C(5,a)$ are collinear. Hence find the equation of the line.

Q. In $△ABC,\angle ABC=\angle DAC,AB=8cm,AC=4cm,AD=5cm$. Prove that $△ACD$ is similar to $△BCA$

Q. In the figure, $\angle DBC={58}^{\circ }.BD$ is a diameter of the circle. Calculate $\angle BDC$

Q. The ratio in which the line joining $A(-4,2)$ and $B(3,6)$ is divided by point $P(x,3)$ is $k$. Then $9k=?$

Q. Salman invests a sum of money in Rs. $50$ shares, paying $15\%$ dividend quoted at $20\%$ premium. If his annual dividend is Rs. $600$, calculate his total investment (in Rs.).

Q. In the figure given below, $ABCD$ is a rectangle, $AB=14cm,BC=7cm$. From the rectangle, a quarter circle $BFEC$ and a semicircle $DGE$ are removed. Calculate the area of the remaining piece of the rectangle. (Take $\pi =\frac{22}{7}$)

Q. If $\frac{x^2+y^2}{x^2-y^2}=\frac{17}{8}$, then find the value of $x:y$

Q. Without using trigonometric tables, evaluate ${\sin }^2{34}^{\circ }+{\sin }^2{56}^{\circ }+2\tan {18}^{\circ }\tan {72}^{\circ }-{\cot }^2{30}^{\circ }$

Q. If $\frac{x^2+y^2}{x^2-y^2}=\frac{17}{8}$, then find the value of $\frac{x^3+y^3}{x^3-y^3}$