Mathematics - Perimeter and Area
Exam Duration: 45 Mins Total Questions : 30
The circumference of a circle is 44 m. What is its area?
- (a)
6084.5 m2
- (b)
276.5 m2
- (c)
154 m2
- (d)
44 m2
The difference between the circumference and radius of a circle is 37 m.What is the circumference of the circle
- (a)
7 m
- (b)
44 m
- (c)
154 m
- (d)
88 m
How many plants (approximately) will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plant?
- (a)
18
- (b)
750
- (c)
24
- (d)
120
If the ratio of circumferences of two circles is 4:9, what is the ratio of their areas?
- (a)
9:4
- (b)
16:81
- (c)
4:9
- (d)
2:3
If the area of a circle is A, radius is rand circumference is C, which of the following is true?
- (a)
r C = 2A
- (b)
\(\frac { C }{ A } =\frac { r }{ 2 } \)
- (c)
AC =\(\frac { r^{ 2 } }{ 4 } \)
- (d)
\(\frac { A }{ r } \)=C
What is the breadth of a rectangular sheet of perimeter 100 cm and length 35 cm?
- (a)
35 cm
- (b)
20 cm
- (c)
15 cm
- (d)
50 cm
A wall hanging is in the shape given in the figure. Find its perimeter
- (a)
176 cm
- (b)
146 cm
- (c)
44 cm
- (d)
88 cm
A wire bent in the form of a circle of radius 42 cm is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
- (a)
11: 12
- (b)
21: 33
- (c)
22: 33
- (d)
14: 11
In the following figure, ABCD is a parallelogram. DL\(\bot \)AB and AB = 13 cm = AD. If the area of parallelogram is 156 cm2 find AL.
- (a)
5 cm
- (b)
6 cm
- (c)
7 cm
- (d)
8 cm
The length and breadth of a rectangular hall in a model are 0.4 m and 30 cm respectively. What is the distance between the opposite corners of the wall in the model?
- (a)
34.16 m
- (b)
50 m
- (c)
34.16 m
- (d)
50 cm
Find the area of a verandah 2.25 m wide constructed outside a room 5.5 m long and 4 m wide
- (a)
36 sq. m
- (b)
63 sq. m
- (c)
64 sq. m
- (d)
84 sq. m
Find the area of the triangle whose base is 14 dam and height is 650 cm.
- (a)
455 dm2
- (b)
455 dam2
- (c)
455 cm2
- (d)
455 m2
In a parallelogram ABCD. the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Find area of parallelogram.
- (a)
240 sq.m
- (b)
408 sq.m
- (c)
816 sq.m
- (d)
806 sq.m
What is the area of the shaded part in the figure given that the side of square ABCD is 90 m and the side of square PQRS is 100 m?
- (a)
1900 sq m
- (b)
2000 sq m
- (c)
1000 sq m
- (d)
2500 sq m
The hour hand of a clock is4.5cm long.what distance does its tip cover in 12 hours?
- (a)
28 m
- (b)
336 cm
- (c)
28.28 cm
- (d)
12 cm
The figure shows a parallelogram PQRS.What is its area?
- (a)
100 cm2
- (b)
1 m2
- (c)
100 cm
- (d)
1 m
The measurements in the given figure are in cm
- (a)
200 cm2
- (b)
186 cm2
- (c)
210 cm2
- (d)
196 cm2
If the length of the diagonal of a square is 12\(\sqrt { 2 } \) cm, what is its perimeter?
- (a)
38 cm
- (b)
44 cm
- (c)
48 cm
- (d)
54 cm
If the perimeter of a square increases by 25%. what is the increase in its area?
- (a)
\(\frac { 245 }{ 4 } \) %
- (b)
\(\frac { 235 }{ 4 } \) %
- (c)
\(\frac { 225 }{ 4 } \) %
- (d)
\(\frac { 215 }{ 4 } \) %
The length around a rectangular mat is 21 m. If its length is 5 m 60 cm, what is its width?
- (a)
4 m 90 cm
- (b)
490 m
- (c)
49 m
- (d)
49 cm
The floor of a room measures 12 m by 10 m. A carpet is placed on the floor from wall to wall.What isthe area of the carpet?
- (a)
120 m2
- (b)
1200 m
- (c)
120 m
- (d)
1200 m2
Find the circumference of the semicircular region with diameter 10 cm
- (a)
\(\frac { 25 }{ 7 } \) cm
- (b)
25 \(\frac { 5 }{ 7 } \)cm
- (c)
27\(\frac { 5 }{ 7 } \)cm
- (d)
25 cm
Find the unshaded area of the given figure.
- (a)
111 cm2
- (b)
100 cm2
- (c)
183 cm2
- (d)
294 cm2
The area of two circles are in the ratio 25 : 36. Then the ratio of their circumference is ___________
- (a)
6: 5
- (b)
3: 4
- (c)
4: 3
- (d)
5: 6
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
- (b)
21
- (c)
26
- (d)
27
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
- (b)
Rs 1125
- (c)
Rs 5925
- (d)
Rs 6125
People of a village take good care of plants, trees and animals. They marked some land 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
- (b)
125:39
- (c)
29:150
- (d)
29:121
A cow is tied to a pole, fixed at the midpoint of a side of a square field of dimensions 40 m \(\times\) 40 m, by means of 14 m long rope. Find the area that the cow can graze.
- (a)
254 m2
- (b)
308 m2
- (c)
245 m2
- (d)
380 m2
A floor measuring 2 m by 1.5 m is to be covered with tiles measuring 25 cm \(\times\) 25 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
- (b)
48, Rs 1680
- (c)
48, Rs 1285
- (d)
24, Rs 2000
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 cm.
(Q) Ratio of circumference of a circle to its radius is always 2\(\pi\) : 1.
(R) 500 m2 = 5 hectares
(S) If 1 m2 = \(\times\) mm2 , then the value \(\times\) of is 100000.
- (a)
P Q R S T F F F - (b)
P Q R S F F T F - (c)
P Q R S T F F T - (d)
P Q R S T T F F