Question 1 :
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is :<br/>
Question 2 :
If two triangles are on same ____ and are between same parallel lines they have equal area.
Question 3 :
Consider the following statements and state which one is true and which one is false: <br/>(1) The bisectors of all the four angles of a parallelogram enclose a rectangle.<br/>(2) The figure formed by joining the midpoints of the adjacent sides of the rectangle is a rhombus. <br/>(3) The figure formed by joining the midpoints of the adjacents sides of a rhombus is square.
Question 4 :
In quadrilateral $ABCD$, if $\angle A = 60^{\circ}$ and $\angle B : \angle C : \angle D = 2 : 3 : 7$, then find $\angle D$.
Question 6 :
Three angles of a quadrilateral are equal. If the fourth angle is $69^{\circ}$, find the measure of equal angles.
Question 8 : <div>Fill in the blank:</div><div><br/></div>Line joining the mid-points of any two sides of a triangle is _____ to the third side.<br/>
Question 12 :
How many of the following four numbers are rational?<br/>$\sqrt{3}+\sqrt{3}, \sqrt{3}-\sqrt{3}, \sqrt{3} \times \sqrt{3}, \dfrac{\sqrt{3} }{ \sqrt{3}}$.
Question 17 :
A pair of irrational numbers whose product is a rational number is:<br/>
Question 19 : <div>State true or false:</div>A circle of radius $3$cm can be drawn through two points $A, B$ such that $AB = 6$ cm. 
Question 20 :
For a triangle ABC, with BC as the diameter of circle, if radius is 5 cm and AB = 8 cm. Find AC .
Question 21 :
The perpendicular drawn from centre to the chord divides the chord in a ratio of _____
Question 22 :
$ ABCD$ is a cyclic quadrilateral, then the angles of the quadrilateral in the same order are:
Question 23 :
If one angle of cyclic quadrilateral is $70^o$, then the angle opposite to it is:
Question 24 :
In a cyclic quadrilateral $ ABCD$, twice the measure of $\angle A $ is thrice the measure of $\angle C$, find the measure of $\angle C$.
Question 25 :
$BD$ is a chord parallel to the diameter $AC$ of a circle. A point $B$ is on the perimeter of the circle such that angle $CBE={ 63 }^{ o }$. The angle $DCE$ is equal to:
Question 26 :
If one of the angles of a triangle is $130^0$, then the angle between the bisectors of the other two angles can be<br>
Question 31 :
Find the values of $m$ and $n$ so that the polynomial $x^{3}-mx^{2}-13x+n$ has $x-1$ and $x+3$ as factors.
Question 36 :
The surface area of a $10\ cm \times 4\ cm\times 6\ cm$ brick is 
Question 37 :
If the volume in $m^3$ and the surface area in $m^2$ of a sphere are numerically equal, then the radius of the sphere in m is
Question 38 :
A brick whose length, breadth and height are $5m, 6m$, and $7m$ respectively. Find the surface area of the brick.
Question 39 :
The surface areas of the two spheres are in the ratio $1:2$. The ratio of their volumes is 
Question 40 :
The length of the side is $3.9$ ft. Find the surface area of a cube .
Question 41 :
Each edge in a cube is $5\ cm$. What is the surface area in square cm?
Question 42 :
The volume of the hemisphere is $\displaystyle 2100{ cm }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).
Question 43 :
The largest sphere is cut off from a cube of side $5\ cm$. The volume of the sphere will be __________.
Question 44 :
Find the total surface area of a cuboid given $l =10\ cm,$ $h = 4\ cm$ and $w = 13\ cm$.
Question 45 :
The dimension of a box (cuboid) are $1 m \times 80cm\times 50cm$. Then its lateral surface area.
Question 46 :
How many litres of water (approximately) can a hemispherical container of radius $21cm$ hold?
Question 47 :
A semicircular thin sheet of a metal of diameter $28cm$ is bent and an open conical cup is made. What is the capacity of the cup?
Question 48 :
Three solid metallic spheres of radii $6$, $8$ and $10$ centimetres are melted to form a single solid sphere. The radius of the sphere so formed is __________.
Question 49 :
In $\Delta PQR$, $\angle P =$ <br> $ 70^{\circ}$ and $\angle R = 30^{\circ}.$ Which side of this triangle is the longest? <br/>
Question 50 :
In $\displaystyle \Delta PQR,\angle Q={ 67 }^{ o },\angle R={ 48 }^{ o }$. The smallest side is ........ and the greatest side is ........
Question 51 :
If a triangle $PQR$ has been constructed taking $QR = 6 $ cm, $PQ = 3 $ cm and $PR = 4 $ cm, then the correct order of the angle of triangle is
Question 52 :
Which of the following will form the sides of a triangle?
Question 53 :
$ \ln \Delta \mathrm{TPQ}, \angle \mathrm{T}=65^{\circ}, \angle \mathrm{P}=95^{\circ} $ which of the following is a true statement?
