Question 1 :
The sides of a triangle are $5\ cm, 12\ cm$ and $13\ cm$, what is its area?<br/>

Question 2 :
If A is the area of a triangle in$ \displaystyle cm^{2}m $ whose sides are 9 cm, 10 cm, and 11 cm then which one of the following is correct ?

Question 3 :
The perimeter of a triangular field is 144 m and the ratio of the sides is 3 : 4 : 5 The area of the field is

Question 4 :
Side of an equilateral triangle is 4 cm. Its area is,<br>

Question 5 :
If every side of a triangle is doubled, then the area of the new triangle is 'K' times the area of the old one. The value of K is<br>

Question 6 :
A triangle and a parallelogram have the same base and the same area. If the side of the triangle are 13 cm, 14 cm, and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.

Question 7 :
A wire of length $50\: cm$ is to be bent in the form of a parallelogram of area $50\: cm^{2}$. If the angle between the adjacent sides is $30^{\circ}$, then the dimensions of the parallelogram are<br/>

Question 8 :
The sides of a triangular plot are in the ratio of $3:5:7$ and its perimeter is $300m$. Find its area.

Question 9 :
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 10 :
The diagonal of a square A is $(x+y)$. The diagonalof square B with twice the area of A is

Question 11 :
If the angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4, then the smallest angle in the centesimal system is _____

Question 12 :
If the sides of a triangle are doubled, then its area <br/>

Question 13 :
Use Heron's formula to find the area of a triangle of lengths $7, 8$ and $9$.

Question 17 :
The average of marks of $12$ students is $15$. The marks of a student who scored zero were wrongly taken as $18$ and average was determined. The correct average marks is _________.

Question 19 :
The following observations have been arranged in ascending order. If the median of the data is $78$, find the value of $x$.<br/>$44, 47, 63, 65, x + 13, 87, 93, 99, 110$.

Question 20 :
The average of five results is$46$ and that of the first four is $45$, fifth result is ?

Question 21 :
The mean age of 30 student is 9 years. If the age of their teacher is included, it becomes 10 years. The age of teacher ( in years ) is

Question 22 :
In a class of $ 100$ &#160;students there are $70$ &#160;boys whose average marks in a subject are $75$ . If the average marks of whole class is $72$ then what is the &#160;average marks of the girls?

Question 23 :
If the average weight of $6$ students is $50$ kg, that of $2$ students is $51$ kg and that of rest of $2$ students is $55$ kg, then the average weight of all the students is

Question 24 :
The average of monthly salary of $ 20$ employees in a company is Rs.$ 7, 650$. If the manager's salary is added, the average salary increase by Rs. $550$ per month. What is the manager's monthly salary?

Question 25 :
The arithmetic mean of a set of 10 numbers is 20. If each number is first multiplied by 2 and then increased by 5, then what is the mean of the new numbers?

Question 26 :
$20 $,&#160;$20 - 2x$,&#160;$40$,&#160;$20 - 4x$,&#160;$-60 + 2x$<br/>Find the arithmetic mean of above numbers.

Question 27 :
If the arithmetic mean of first $n$ natural numbers is $15$, then $n$ is equal to:

Question 28 :
If the mean of a set of observations$\displaystyle x_{1},x_{2},......,x_{10}$ is 20, then the mean of$\displaystyle x_{1}+4,x_{2}+8,x_{3}+12,....,x_{10}+40$ is

Question 29 :
Out of $100$ numbers $20$ were $5s$, $30$ were $6s$ and the remaining were $7s$. The arithmetic mean of the numbers is

Question 30 :
AFLATOUN social and financial educational program intiated savings program among the high school children in Hyderabad district. Mandal wise savings in a month are given in the following table.<table class="wysiwyg-table"><tbody><tr><td>Mandal</td><td>No. of schools</td><td>Total amount saved (in rupees)</td></tr><tr><td>Amberpet</td><td>$6$</td><td>$2154$</td></tr><tr><td>Thirumalgiri</td><td>$6$</td><td>$2478$</td></tr><tr><td>Saidabad</td><td>$5$</td><td>$975$</td></tr><tr><td>Khairathabad</td><td>$4$</td><td>$912$</td></tr><tr><td>Secundrabad</td><td>$3$</td><td>$600$</td></tr><tr><td>Bahadurpura</td><td>$9$</td><td>$7533$</td></tr></tbody></table>Find arithmetic mean of school wise savings in each mandal.