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question_answer1)
Find the circumference of the circle that is within a square if the area of the square is\[81\text{ }c{{m}^{2}}\]. \[\left( Take\,\,\pi =\frac{22}{7} \right)\]
A)
\[7\frac{2}{7}\,cm\] done
clear
B)
\[14\frac{2}{7}\,cm\] done
clear
C)
\[28\frac{2}{7}\,cm\] done
clear
D)
\[63\frac{9}{14}\,cm\] done
clear
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question_answer2)
Find the unshaded area of the given figure.
A)
\[111\text{ }c{{m}^{2}}\] done
clear
B)
\[100\text{ }c{{m}^{2}}\] done
clear
C)
\[183\,c{{m}^{2}}\] done
clear
D)
\[294\,\,c{{m}^{2}}\] done
clear
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question_answer3)
In the given figure (not drawn to scale), B, D, F and Hare the midpoints AC, CE, EG and A respectively. Find the area of the shaded portion, if AGEC is a square of area \[100\,c{{m}^{2}}\]
A)
\[25\,c{{m}^{2}}\] done
clear
B)
\[50\,c{{m}^{2}}\] done
clear
C)
\[35\,c{{m}^{2}}\] done
clear
D)
\[75\,c{{m}^{2}}\] done
clear
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question_answer4)
The rectangle is made of 12 identical squares. It is divided into 4 parts. Which of the following 2 parts will be removed to form \[\frac{3}{12}\] of the rectangle?
A)
L and N done
clear
B)
M and O done
clear
C)
L and M done
clear
D)
M and N done
clear
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question_answer5)
Find the area of the given figure (not drawn to scale). ________
A)
\[200\,c{{m}^{2}}\] done
clear
B)
\[94\,c{{m}^{2}}\] done
clear
C)
\[84\,c{{m}^{2}}\] done
clear
D)
\[100\,c{{m}^{2}}\] done
clear
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question_answer6)
In the given figure, all triangles are equilateral and PQ = 12 units. Other triangles have been formed by taking the mid points of the sides. What is the perimeter of the figure?
A)
\[62.3\]units done
clear
B)
\[64.5\]units done
clear
C)
\[65.8\]units done
clear
D)
\[67.5\]units done
clear
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question_answer7)
The area of two circles are in the ratio \[25:36\]. Then the ratio of their circumference is ____.
A)
\[6:5\] done
clear
B)
\[3:4\] done
clear
C)
\[4:3\] done
clear
D)
\[5:6\] done
clear
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question_answer8)
The lengths of the sides of a triangle are 5m, \[1.2\]decametre and 130 dm. Then its area is ____.
A)
\[24\,{{m}^{2}}\] done
clear
B)
\[30\,{{m}^{2}}\] done
clear
C)
\[48\,{{m}^{2}}\] done
clear
D)
\[40\,{{m}^{2}}\] done
clear
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question_answer9)
Ishika has designed a small oval race track for her remote control car. Her design is shown in the figure. What is the total distance around the track? Round your answer to the nearest whole cm.
A)
205 cm done
clear
B)
305 cm done
clear
C)
100cm done
clear
D)
245cm done
clear
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question_answer10)
ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. Find the area of the shaded region of the figure,
A)
\[375\,c{{m}^{2}}\] done
clear
B)
\[370\,c{{m}^{2}}\] done
clear
C)
\[475\,c{{m}^{2}}\] done
clear
D)
\[450\,c{{m}^{2}}\] done
clear
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question_answer11)
In a parallelogram ABCD, diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Area of parallelogram is
A)
\[204\text{ }{{m}^{2}}\] done
clear
B)
\[408\text{ }{{\text{m}}^{2}}\] done
clear
C)
\[816\,{{m}^{2}}\] done
clear
D)
\[402\,{{m}^{2}}\] done
clear
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question_answer12)
If the radius of a circle is tripled, the are becomes
A)
9 times done
clear
B)
3 times done
clear
C)
6 times done
clear
D)
30 times done
clear
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question_answer13)
In the given diagram, PQU is an equilateral triangle, QRVU is a square and RSTU is a rhombus. Find the perimeter, (in cm) of the whole diagram,
A)
17 done
clear
B)
21 done
clear
C)
26 done
clear
D)
27 done
clear
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question_answer14)
Area of the shaded portion is ____.
A)
\[100\,c{{m}^{2}}\] done
clear
B)
\[110\,c{{m}^{2}}\] done
clear
C)
\[120\,c{{m}^{2}}\] done
clear
D)
\[125\,c{{m}^{2}}\] done
clear
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question_answer15)
In the given figure, ABCE is a parallelogram P is the midpoint of AD and AD 1. EC. If AD = 20 cm and EC = 18 cm, find the area of the given figure.
A)
\[300\text{ }c{{m}^{2}}\] done
clear
B)
\[280\text{ }c{{m}^{2}}\] done
clear
C)
\[270\text{ }c{{m}^{2}}\] done
clear
D)
\[290\text{ }c{{m}^{2}}\] done
clear
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question_answer16)
A field is 225 m long and 175 m wide. It has two roads in its centre of uniform width of 5 m, one parallel to its length and the other parallel to its breadth. Find the cost of levelling the roads at Rs. 3 per square metre.
A)
\[Rs.\,1975\] done
clear
B)
\[Rs.\,1125\] done
clear
C)
\[Rs.\,5925\] done
clear
D)
\[Rs.6125\] done
clear
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question_answer17)
People of a village take good care of plants, trees and animals. They marked some \[l\] and for their pets (cow and ox) and plants. Find the ratio of the areas kept for animals and plants to the total area of the village.
A)
\[75:21\] done
clear
B)
\[125:39\] done
clear
C)
\[29:150\] done
clear
D)
\[29:121\] done
clear
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question_answer18)
A cow is tied to a pole, fixed to the midpoint of a side of a square field of dimensions 40 m x 40 m, by means of 14 m long rope. Find the area that the cow can graze.
A)
\[254\,{{m}^{2}}\] done
clear
B)
\[308\,{{m}^{2}}\] done
clear
C)
\[245\,{{m}^{2}}\] done
clear
D)
\[380\,{{m}^{2}}\] done
clear
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question_answer19)
A rectangular piece of canvas measures 25 cm by 16 cm. A triangular piece, with base 14 cm and height 10 cm is cut off from the canvas. Find the area of the remaining piece.
A)
\[400\,c{{m}^{2}}\] done
clear
B)
\[120\,c{{m}^{2}}\] done
clear
C)
\[140\,c{{m}^{2}}\] done
clear
D)
\[330\,c{{m}^{2}}\] done
clear
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question_answer20)
A floor measuring 2 m by \[1.5\text{ }m\]is to be covered with tiles measuring\[25\text{ }cm\times 25\text{ }cm\]. Find the number of tiles required to cover the floor and the cost of the tiles at Rs. 420 per dozen.
A)
24, Rs.1380 done
clear
B)
48, Rs. 1680 done
clear
C)
48, Rs.1285 done
clear
D)
24, Rs.2000 done
clear
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question_answer21)
A rectangular field is 112 m long and 100 m wide. Two roads, each 3 m wide are to be constructed at the centre of this field; one is parallel to the length of the field and the other is parallel to the breadth of the field. Find:
(i) Area of the part of the field, not covered by the roads. |
(ii) Cost of constructing the road at Rs.17 per\[{{m}^{2}}\]. |
A)
B)
C)
D)
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question_answer22)
A)
(P)\[\to \](3), (Q)\[\to \](1), (R)\[\to \](2), (S)\[\to \](4) done
clear
B)
(P)\[\to \](1), (Q)\[\to \](2), (R)\[\to \](3), (S)\[\to \](4) done
clear
C)
(P)\[\to \](2), (Q)\[\to \](3), (R)\[\to \](1), (S)\[\to \](4) done
clear
D)
(P)\[\to \](3), (Q)\[\to \](1), (R)\[\to \](4), (S)\[\to \](2) done
clear
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question_answer23)
State T for true and 'F' for false.
(P) Length of ribbon required to cover the semicircular disc of radius 10 cm is\[51.4\text{ }cm\]. |
(Q) Ratio of circumference of a circle to its radius is always \[2\pi :1\]. |
(R) \[500\text{ }{{m}^{2}}=5\]hectares |
(S) If \[1\text{ }{{m}^{2}}=x\text{ }m{{m}^{2}},\] then the value of x is 100000. |
A)
B)
C)
D)
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question_answer24)
Which of the following statements is true?
Statement 1: A saree 5.5 m long and 1.25 m wide has a zari border 2.5 cm broad along its length on either side. Along the width, on one edge the border was 5 cm wide and on the other side the zari was 25 cm wide. The area of the zari is\[5855\text{ }c{{m}^{2}}\]. |
Statement 2: The moon is about 384000 km from earth and its path around the earth is nearly circular. The length of path described by moon in one complete I revolution will be 2,411,520 km. \[(\pi =3.14)\] |
A)
Only Statement-1 done
clear
B)
Only Statement-2 done
clear
C)
Both Statement-1 and Statement-2 done
clear
D)
Neither Statement-1 nor Statement-2 done
clear
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question_answer25)
Find the values of P, Q and R,
(i) A circular pond is surrounded by a 2 m wide circular path. if outer circumference of circular path is 44 m then the area of the path is P . |
(ii) A rectangular courtyard measuring 17 m by \[9\frac{1}{2}\] is to be covered by square slabs, each of side \[\frac{1}{2}\]m. |
Q slabs are required to cover the courtyard. |
(iii) The minute hand of a circular clock is 15 cm long. The tip of the minute hand move R cm in 1 hour? |
(Take\[\pi =3.14\])
A)
B)
C)
D)
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