Olympiad Mathematics - Mensuration
Exam Duration: 45 Mins Total Questions : 30
What is the perimeter of an equilateral triangle of side 'a' units?
- (a)
2a + b units
- (b)
3a units
- (c)
a + b + c units
- (d)
a + 2b units
The perimeter of a rectangle is 170 m and its length is 50 m. What is its breadth?
- (a)
80 m
- (b)
35 m
- (c)
55 m
- (d)
60 m
The perimeter of a square is 728 cm.Find the measure of its side.
- (a)
81 cm
- (b)
182 cm
- (c)
128 cm
- (d)
182 cm
80 students of the same height stand with both hands stretched all along the sides of a rectangular garden, each student covering a length of1.75 m.What is the perimeter of the garden?
- (a)
1400 m
- (b)
140 m
- (c)
14 m
- (d)
1400 km
The length and breadth of a rectangular plot are 900 m and 700 m respectively.If three rounds of fence is fixed around the field at the cost of Rs.8 per metre,what is the total amount spent?
- (a)
Rs.768
- (b)
Rs.7680
- (c)
Rs.76.800
- (d)
Rs.768.000
How many sq.cm make a sq.m ?
- (a)
100
- (b)
1000
- (c)
10000
- (d)
10
On a wall of dimensions 10.5 m long and 8.5 m wide, a square shaped wall poster is stuck at the centre whose side measure is 2.5 m. If the remaining part of the wall is to be painted with pink colour costing Rs.12 per sq.m, how much does it cost?
- (a)
Rs.89.25
- (b)
Rs.996
- (c)
Rs.830
- (d)
Rs.12
In a square shaped park,whose side measures 28 m, a rectangular pond is located at the centre with dimensions 3 m and 2 m. What is the area of the park excluding the pond?
- (a)
784 sq.m
- (b)
6 sq.m
- (c)
778 sq.m
- (d)
708 sq.m
An isosceles triangle has a measure of 'p' units for its equal sides and 'q' units for its unequal side.What is its perimeter?
- (a)
2 (p + q) units
- (b)
2p + q units
- (c)
2q + p units
- (d)
2 (q + p) units
What is the resultant of twice the sum of the length and breadth of a rectangle?
- (a)
Its area
- (b)
Its perimeter
- (c)
Its length
- (d)
Its breadth
Which of the following is the perimeter of a triangle whose sides are 20 cm, 25 cm and 30 cm?
- (a)
45 cm
- (b)
75 cm
- (c)
150 cm
- (d)
60 cm
Four square plots of side 30 m each are in a row.What length of barbed wire is required to fence the plots?
- (a)
300 m
- (b)
3000 m
- (c)
30 m2
- (d)
300 m2
What is the perimeter of the given figure?
- (a)
25 cm
- (b)
21 dm
- (c)
2 m 5 dm
- (d)
2 m 50 dm
Find the perimeter of the triangle given
- (a)
150 cm
- (b)
90.6 cm
- (c)
690 cm
- (d)
90.6 cm
Find the sum of the perimeters of the figures given
- (a)
350 cm
- (b)
360 cm
- (c)
370 cm
- (d)
380 cm
A wall shown in the figure is made up of square bricks of unit length. What is the area of the wall?
- (a)
1 sq unit
- (b)
3 sq units
- (c)
20 sq units
- (d)
24 sq units
A figure is formed by putting two squares one on the other as shown
If the length of each side of the two squares is 8 cm, what is the perimeter of the figure?
- (a)
56 cm
- (b)
64 cm
- (c)
32 cm
- (d)
48 cm
If the length and breadth of a rectangle are doubled, how does its perimeter change?
- (a)
Tripled
- (b)
Doubled
- (c)
Halved
- (d)
Becomes 4 times
The perimeter of the triangle given is 12 cm. What does x measure?
- (a)
7 cm
- (b)
4.5 cm
- (c)
4 cm
- (d)
6 cm
The length of a rectangle is 40 cm. If its breadth is half the length, find the perimeter.
- (a)
1200 cm
- (b)
1.2 cm
- (c)
120 m
- (d)
120 cm
The total cost of flooring a room at Rs.8.50 per sq.metre is Rs.510.lf the length of the room is 8 m, what is its breadth?
- (a)
5.7 cm
- (b)
7.5 m
- (c)
6.7 cm
- (d)
7.6 cm
What is the cost of cultivating a rectangular field 34 m long and 18 m wide at Rs.4.50 per square metre
- (a)
Rs.2547
- (b)
Rs.2475
- (c)
Rs.2745
- (d)
Rs.2754
Find the area of given figure, if the area of each square is 1 cm2.
- (a)
11 cm2
- (b)
10 cm2
- (c)
12 cm2
- (d)
9 cm2
If the area of the rectangle is 16 m2, then which of the following may not be the possible dimensions for rectangle?
- (a)
Length = 8 rn, breadth = 2 m
- (b)
Length = 16 m, breadth = 1
- (c)
Length = 32 rn, breadth = \(\frac{1}{2}\) m
- (d)
Length = 8.5 rn, breadth = 2 m
Find the area of given figure.
- (a)
25.5 cm2
- (b)
25 cm2
- (c)
23.5 cm2
- (d)
24 cm2
The length of a rectangle is \({ \left( \frac { 3 }{ 4 } \right) }^{ th }\) breadth. If its perimeter is 126 m, then its area will be____________.
- (a)
972 m2
- (b)
640 m2
- (c)
840 m2
- (d)
954 m2
If perimeter of an equilateral triangle is 18 cm, then the length of its side will be_______________.
- (a)
5 cm
- (b)
7 cm
- (c)
6 cm
- (d)
8 cm
The area of a rectangular park is 3100 m2 and its breadth is 50 m. The value of 4 times its perimeter is_____________.
- (a)
896 m
- (b)
825 m
- (c)
912 m
- (d)
756 m
The number of paving stones each measuring 10 dm by 9 dm required to pave a rectangular veranda 60 m by 6 m is______________.
- (a)
360
- (b)
350
- (c)
400
- (d)
300
Figure P is made up of six identical squares. Two squares were removed from figure P to form figure Q. The perimeter of figure P is 240 cm. What is the perimeter of figure Q?
- (a)
220 cm
- (b)
200 cm
- (c)
180 cm
- (d)
160 cm