Question 1 :
The angles of a quadrilateral are in the ratio $3:5:9:13$. All the angles of the quadrilateral are
Question 2 :
In parallelogram ABCD, AB $=$ (x+8) cm and CD $=$ (3x-2) Then AB equals
Question 3 :
The area of a square plot of land is 7056$m^{2}$. Find the expenditure for five layered wiring around the plot at Rs 8 per meter.
Question 4 :
Use Heron's formula to find the area of a triangle of lengths $4, 5$ and $6.$
Question 5 :
The parallel sides of a parallelogram are $40$ and $15$ m and one of the diagonals is $35$ m. Find the area of the parallelogram, if the distance between the parallel sides is $50$ m. (Use Heron's formula)<br/>
Question 6 :
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is<br>
Question 7 :
The area of a square is equal to the area of a circle. What is the ratio between the side of the square and the radius of the circle ?
Question 8 :
The lengths of the sides of a  triangle are in integers and its area is also an integer. One side is $21$ cm and the  perimeter is $48$ cm, then the length of the shortest side is <br/>
Question 9 :
The diagonal of a square A is $(x+y)$. The diagonalof square B with twice the area of A is
Question 10 :
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are $15 cm, 14 cm, 13 cm$, and the parallelogram stands on the base of $15$ cm. Find the height of the parallelogram.
Question 11 :
An equilateral triangle and a regular hexagon have the same perimeter. If the area of the hexagon is $72\sqrt{3}$, calculate the area of the triangle.
Question 12 :
If A, B, C, D are angles of a cyclic quadrilateral , find the value of $cos A + cos B + cos C + cos D$.
Question 13 :
Using Heron's formula find the area of a quadrilateral whose sides are $3\ cm, 4\ cm, 4\ cm$, and $5\ cm$. The angle between the first two sides is $90^0$. <br/>
Question 14 :
Find the area of a quadrilateral whose sides are $3\ cm, 4\ cm, 2\ cm$, and $5\ cm$. The angle between the first two sides is $90^o$. (Use Heron's formula)<br/>
Question 15 :
$ABCD$ is a parallelogram $AB=14\;cm,BC=18\;cm,AC=16\;cm$ then the length of the length of the other diagonal.
Question 16 :
$\displaystyle \frac{5+2\sqrt{3}}{7+4\sqrt{3}} = a + b\sqrt{3}$, then find the value of a and b.
Question 19 :
State True or False.$\sqrt[5]{\sqrt[4]{{({2}^{4})}^{3}}}-5\sqrt[5]{8}+2\sqrt[5]{\sqrt[4]{{({2}^{3})}^{4}}}$ <br> $ \ = \ -2\cdot \sqrt[5]{8}$<br/>
Question 24 :
If $\displaystyle\frac{3+2\sqrt{2}}{3-\sqrt{2}}=a+b\sqrt{2}$, where a and b are rationals. Find the values of a and b.
Question 26 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be
Question 27 :
If $a = \displaystyle \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $b  = \displaystyle \frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, find the value $a^2+b^2-5ab$.
Question 28 :
The conjugate of the binomial surd $\dfrac {1}{2}x + \dfrac {1}{2}\sqrt {y}$ is?
Question 29 :
The fraction $\displaystyle \frac{2(\sqrt{2} + \sqrt{6})}{3 (\sqrt{2+ \sqrt{3}})}$ is equal to _________
Question 30 :
Find the square root of $x^{4} - 2x^{3} + 3x^{2} - 2x + 1$ using the division method