Olympiad Test: Mensuration

QUESTION: 1

What is the perimeter of a rectangle of length l and breadthb?

A.
2l+b units
B.
l × b units
C.
2(l+b) units
D.
2(l−b) units

Solution:

QUESTION: 2

What is the perimeter of a square of side s units?

A.
4s units
B.
S⁴units
C.
4 + s units
D.
s × s units

Solution:

QUESTION: 3

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

Solution:

QUESTION: 4

What do you call the total boundary length of a closed figure?

A.
Area
B.
Volume
C.
Perimeter
D.
Region

Solution:

QUESTION: 5

What is the amount of surface enclosed by a closed figure called?

A.
Volume
B.
Area
C.
Space
D.
Perimeter

Solution:

QUESTION: 6

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

Solution:

QUESTION: 7

The area of a rectangle is 630 sq. cm and its breadth is 15 cm. What is its length?

A.
40 cm
B.
60 cm
C.
42 cm
D.
35 cm

Solution:

length x breadth = 630

length = 630/breadth

= 630/15

length = 42 cm

QUESTION: 8

Samuel wanted to erect some vertical stones along the boundary of his plot at a distance of 10 m each. If the length of the plot is 30 m and the breadth is 15 m how many stones are required?

A.
450
B.
45
C.
9
D.
10

Solution:

Perimeter of plot = 2(l+b) = 2(30+15) = 90m

Distance between two stones = 10m

Therefore, number of stones = 90/10 = 9

QUESTION: 9

The length and breadth of a rectangle are 3.2 m and 150 cm. What is its area?

A.
48 sq cm
B.
4.8 cm
C.
4.8 sq m
D.
48 cm

Solution:

We know that,

Area=l∗b

l=3.2m
b=1.5m
l×b=3.2×1.5 =4.80 sq m

QUESTION: 10

80 students of the same height stand with both hands stretched all along the sides of a rectangular garden, each student covering a length of 1.75 m. What is the perimeter of the garden?

A.
1400 m
B.
140 m
C.
14 m
D.
1400 km

Solution:

80 × 1.75 m = 140 m

QUESTION: 11

A table top is covered with 25 squares of equal size. The side of the square is 3 cm. What is the area of the table top?

A.
300 sq. cm
B.
225 cm
C.
225 sq. cm
D.
300 cm

Solution:

Area of square
= s × s
= 3×3 = 9 sq. cm
Area of 25 squares
= 25 × 9
= 225 sq.cm

QUESTION: 12

The length and breadth of a rectangular plot are 900 m and 700 m respectively. If three rounds offence 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

Solution:

l = 900 m, b = 700 m
Perimeter = 2 (900 + 700) m = 2(1600) m = 3200 m
Perimeter for 3 rounds fence = 3(3200) m = 9600 m
∴ Total amount spent
= 9600×Rs. 8 = Rs. 76,800

QUESTION: 13

How many sq. cm make a sq. m?

A.
100
B.
1000
C.
10000
D.
10

Solution:

1 sq. m = 10,000 sq. cm

QUESTION: 14

A wooden plank measures 6 m in length and 3 m in breadth. If five such wooden planks are arranged in order, what is the area occupied by them?

A.
18 sq. m
B.
90 sq. m
C.
5 sq. m
D.
95 sq. m

Solution:

l = 6m; b = 3m
Area of one plank = 6×3 = 18sq.m
Number of wooden planks = 5
Area of 5 wooden planks = 18×5 = 90 m²

QUESTION: 15

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

Solution:

Area of the poster = 2.5 × 2.5 sq. m
= 6.25sq.m Area of the wall
= 10.5×8.5 sq.m
= 89.25sq.m
Area of the wall to be painted =(89.25-6.25) sq.m = 83.00 sq.m
Cost of painting = 83 × Rs. 12 = Rs. 996

QUESTION: 16

What is the area of the given figure?

A.
2400 sq. m
B.
48 sq. m
C.
50 sq. m
D.
98 sq. m

Solution:

10×5 = 50sq.m
6×8 = 48 sq. m
∴ The required area = 50 + 48 = 98 sq. m

QUESTION: 17

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?