Question 1 :
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Question 2 :
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From the above image, a design is made on a rectangular tile of dimensions 50 cm × 70 cm. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the remaining area of the tile.
Question 3 :
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From the above image, how much paper of red shade is needed to make a kite in which ABCD is a square with diagonal 44 cm?
Question 4 :
In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, they intersect on the circumcircle of the triangle ABC. TRUE or FALSE?
Question 6 :
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In the above fig, segment AB is the _____________ of the circle.
Question 7 :
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In the above image, a graph is given, select the equation whose graph it is.
Question 8 :
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In the above figure, ABCD is a square. E and F are respectively the mid-points of BC and CD. If R is the mid-point of EF. Is $ar\left(\triangle AER\right)=ar\left(\triangle AFR\right)$?
Question 9 :
State whether the statement is TRUE or FALSE: Triangles on the same base and between the same parallels are equal in area.
Question 10 :
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In the above figure, ABCD is a parallelogram. Points P and Q on BC trisects BC in three equal parts. Is $ar\left(APQ\right)$ = $ar\left(DPQ\right)$ = $\frac{1}{6}ar\left(ABCD\right)$?
Question 13 :
The number of rational numbers between 15 and 18 finite.State True or False.
Question 16 :
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 $m^3$.If the present depth of water is 1.3 m, find the volume of water already used from the tank.
Question 17 :
Find the capacity in litres of a conical vessel with height 12 cm, slant height 13 cm.
Question 18 :
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
Question 19 :
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per $m^2$ .
Question 20 :
Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg): 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00. Find the probability that any of these bags chosen at random contains more than 5 kg of flour.