Question 1 :
Find the area of a triangle whose sides are respectively $$150$$ cm, $$120$$ cm and $$200$$ cm. 
Question 2 :
The sides of a triangle are 5 cm, 12 cm and 13 cm. Then its area is<br>
Question 3 :
The area of the largest triangle that can be inscribed in a semi circle whose radius is r cm is
Question 4 :
The angle between the external bisectors of two angles of a triangle is$$\displaystyle 50^{\circ}$$ then the third angle is
Question 5 :
The lenghts of the sides of a triangle are 9 cm 12 cm and 15 cm then the length of the median to the longest side is
Question 6 :
One side of an equilateral triangle is 30 cm Its area is
Question 7 :
Side of an equilateral triangle is 4 cm. Its area is,<br>
Question 8 :
Squares are constructed on the outer side of a right angled triangle on each of its three sides. If the lengths of the two sides containing the right angle are 5 cm and 10 cm respectively, then the total area of the regions bounded by the diagram is
Question 9 :
If the side of an equilateral triangle is decreased by $$20\%$$, its area is decreased by
Question 10 :
An isosceles right triangle has area $$112.5$$ sq. cm. The length of its hypotenuse (in cm) is
Question 12 :
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 13 :
Find the area of a triangle with sides having length $$40, 24$$ and $$32 m$$
Question 14 :
If the angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4, then the smallest angle in the centesimal system is _____
Question 15 :
Surya has a land in the shape of a rhombus. He wants to cultivate rice and wheat. he divided the land in two equal parts. The perimeter of the land is $$400 m$$ and one of the diagonals is $$160m$$, how much area is available for rice ?
Question 16 :
If PQRS is a parallelogram with PR $$=$$ QS, and PR is perpendicular to QS,then PQRS is a
Question 17 :
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 19 :
The sides of a triangle are 35cm, 54cm and 61cm, respectively. The length of its longest altitude is<br/>
Question 20 :
The side of a rhombus is $$10$$ cm and one diagonal is $$16$$ cm. The area of the rhombus is<br/>
Question 21 :
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 23 :
The average age of $$r$$ boys in a class is $$a$$ years. If the average age of $$s$$ of them is $$b$$ years, then what is the average age of the remaining boys ?
Question 24 :
The arithmetic mean of six given number is $$94$$. Their sum is-
Question 25 :
A student obtained the following marks percentage in an examination English - 50, Accounts - 75, Economics - 60, B. Std. - 80 Hindi - 55 If weights are 2, 3, 3, 2, 1 respectively allotted to the subjects his weighted mean is
Question 26 :
The mean of $$10$$ observations is $$16.3$$. By an error one observation idis registered as $$32$$ instead of $$23$$. Then, the correct mean is
Question 27 :
Mean of $$11$$ observations is $$17.5$$. If one observation value $$15$$ is deleted, then the mean of remaining observations is ___________.
Question 28 :
Mean of $$5$$ observation is $$7$$. If four of these observation are $$6,7,8,10$$ and one is missing then the variance of of all the five observations is :
Question 29 :
The mean of $$10$$ numbers is $$24$$. If one more number is included, the new mean is $$25$$. Find the included number.<br/>
Question 30 :
Mean weight of 21 boys is 40 kg ,if mean of first 10 boys is 42 kg and that of last 10 boys is 38 kg ,then weight of the 11th boy is 
Question 31 :
Mean of $$100$$ observations is $$45$$. It was later found that two observations $$19$$ and $$31$$ were in correctly recorded as $$91$$ and $$13$$. The correct mean is?
Question 32 :
In a certain game, each of $$5$$ players received a score between $$0$$ and $$100$$, inclusive. If their average (arithmetic mean) score was $$80$$, what is the greatest possible number of the $$5$$ players who could have received a score of $$50$$?
Question 33 :
The mean of $$12$$  observations is $$14$$. By an error one observation is registered as $$ 24$$  instead of $$-24$$. Find the actual mean.
Question 34 :
Mean of 50 values was calculated as 122 On checking it was discovered that observations 40, 50 and 60 were wrongly copied as 20, 25 and 55 The correct means is
Question 35 :
The mean of 50 observations is 36. If its twoobservations 30 and 42 are deleted, then the meanof the remaining observations is
Question 36 :
If the average of $$m$$ numbers is $$\displaystyle n^{2}$$ and that of $$n$$ number is <br/>$$\displaystyle m^{2}$$, then the average of $$( m + n)$$ numbers is<br/>
Question 37 :
The numbers  $$3,5,7,4 $$  have frequencies  $$x,x+4,x-3,x+8.$$ If their arithmetic mean is $$4 $$, the value of  $$x$$  is
Question 39 :
The average marks in Mathematics for $$5$$ students was found to be $$50$$. Later is was discovered that in case of one student, the marks $$48$$ were misread as $$84$$. The correct average is 
Question 40 :
If the mean of a set of $$15$$ observations is $$12$$ and that of another set of $$10$$ observations is $$15$$ then find the mean of combined set.
