Question 1 :
The perimeter of a triangle is $9m^2-2n+8$ and its two sides are $4m^2+3n$ and $7m^2+5n-12$. Find the third side of the triangle. 
Question 2 :
The circumference of a circle is 3.14 m Its area will be equal to -
Question 3 :
The area of an isosceles triangle having base x cm and one side y cm is _________.
Question 4 :
There is a rectangular tank of length $180m$ and breadth $120 m$ in a circular field, if the area of the land portion of the field is $40000m^{2}$, what is the radius of the field?
Question 5 :
A wire is bent in the form of a square of side $66cm$. It is cut and again bent in the form of a circle. The radius of this circle is:
Question 6 :
If C is the circumference of a circle of radius r then which of the following statement is true?
Question 7 :
Find the area of the parallelogram whose base is $17\ cm$ and height $0.8\ m$?
Question 8 :
Perimeter of a rectangular garden is $1.2 \times 10^5 km$ and length is $0.2 \times 10^5 km$. Find the area of the garden in standard form.
Question 9 :
The circumference of a circle exceeds its diameter by $180$ cm. Then the radius is equal to
Question 10 :
The radius of a circle is increased by 1 cm. Then the ratio of new circumference to the new diameter is
Question 11 :
What will be area of a parallelogram with base 6 cm and altitude 3.5 cm---
Question 12 :
In a trapezium whose parallel sides measure 12 cm and 10 cm and the distance between them is 8 cm. Find the area of trapezium---
Question 13 :
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.<br>What is the cost painting the two adjacent walls of a hall at Rs. 5 per m2which has no windows or doors?<br>I.The area of the hall is 24 sq. m.<br>II.The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.<br>III.Area of one wall is 30 sq. m.
Question 14 :
Two adjacent sides of a parallelogram are x and y and the included angle is$\displaystyle \alpha $ then the area of the parallelogram is
Question 15 :
There is an equilateral triangle of side 5 cm The maximum number of equilateral triangles (of side 1 cm) cut out will be
Question 16 :
A circular wire of radius 1 dm is cut and is placed along the circumference of a circle of radius of one meter The angle subtended by the wire at the centre of the circle is equal to
Question 17 :
A square of side 16 cm is reduced by a scale factor 0.5 Find the area of the image<br>
Question 18 :
In an isosceles triangle each of the two equal sides is 3 cm more than twice the base If the perimeter of the triangle is 31 cm find the sides of the triangle
Question 19 :
A roller of diameter 70 cm and length 2m is rolling on the ground What is the area covered by the roller in 50 revolutions?
Question 20 :
Find the values of P, Q, R and S.<br><table class="wysiwyg-table"><tbody><tr><td>Length of rectangle (cm)</td><td>Breadth of rectangle (cm)</td><td>Area $(cm^2)$</td><td>Perimeter (cm)</td></tr><tr><td>25</td><td>P</td><td>300</td><td>Q</td></tr><tr><td>18</td><td>R</td><td>S</td><td>66</td></tr></tbody></table>
Question 21 :
The number of marble slabs of size $20\ cm \times 30\ cm$ required to pave the floor of a square room of side 3 metres is
Question 22 :
Let $l > 0$ be a real number, $C$ denote a circle with circumference $l$, and $T$ denote a triangle with perimeter $l$. Then
Question 23 :
The area of a semi circle is  circle is $\displaystyle \dfrac{\pi}{4}$ then the perimeter <br/>
Question 24 :
If the area of a circle is $154 cm^2$, then its perimeter is: $\left[ \pi =\dfrac{22}{7} \right ]$<br/>
Question 25 :
The length of a rope by which cow must be tethered in order that it may be able to graze an area of $9856\ sq. metres$ is
Question 27 :
State true or false.<br/>The area enclosed by a chord and the major arc is major segment.
Question 28 :
A drinking glass is in the shape of a frusturm of a cone of height 14 cm. The diameter of its two circular ends are 4 cm and 2 cm then the capacity glass is -
Question 29 :
The area of a square playground is $256.6404$ square metres. Find the length of one side of the playground.
Question 30 :
A circle is inscribed in a square of side $14\:cm.$ Find the area enclosed between the square and the circle.<br/>
Question 31 :
The area of a triangle whose vertices are (1, 2), (-3, 4) and (-5, 6) is
Question 32 :
Find the area of the circle if the area of an isosceles right triangle inscribed in it is 18 $\displaystyle cm^{2}$
Question 33 :
Find the area of a triangle ABC whose vertices are A(-2 ,2) B(5 ,2) and whose centroid is (1 , 3)
Question 34 :
The dimension of a rectangular court is such that if the length were increased by $2$ metres and the breadth diminished by the same, its area would be diminished by $12$ square metres, and if the length were increased by $2$ metres and its breadth increased by the same. Its area would be increased by $44$ square metres. Find the length.
Question 35 :
A parallelogram has sides $30 m, 70 m$ and one of its diagonals is $80 m$ long. Its area will be
Question 36 :
The perimeter of a sector is a constant. If its area is to be maximum, then the sectorial angle is
Question 37 :
If $a=i+j+k, b=i+3j+5k$ and $ c=7i+9j+11k$, then the area of Parallelogram having diagonals a+b and b+c is.<br/>
Question 38 :
The diameters of two wheels are $10$ in. and $14$ in. The smaller makes $50$ more revolutions than the larger in going a certain distance. This distance, in inches, is
Question 40 :
The apothem of a square having its area numerically equal to its perimeter is compared with the apothem of an equilateral triangle having its area numerically equal to its perimeter. The first apothem will be: