Free Mensuration 02 Practice Test - 6th grade
Question 1
Perimeter is the distance covered along the boundary forming a/an________ when you go round the figure once.
open figure
closed figure
line
SOLUTION
Solution : C
The length of the boundary of a closed figure is called its perimeter.
Hence, perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once.
Question 2
Perimeter is not valid for
irregular and closed figures
all closed figures
closed regular figures
open figures
SOLUTION
Solution : D
Perimeter is basically the total length of the boundary of a figure. This is valid for closed figures only (both regular and irregular).
Question 3
Perimeter of any figure is
Sum of lengths of sides
Product of length of all sides
Square of lengths of all sides
None of these
SOLUTION
Solution : A
The perimeter of a figure is the sum of lengths of all sides. In other words, perimeter is the distance covered along the boundary of the figure when you go round the figure once.
Question 4
A rectangle has a length of 10 inches and breadth of 5 inches. The perimeter of the rectangle will be
30 square inches
30 inches
15 square inches
15 inches
SOLUTION
Solution : B
Perimeter of a rectangle
= 2 × (Length + Breadth)
= 2 × ( 10 inches + 5 inches )
= 30 inches.
Question 5
The perimeter of a regular octagon with each side measuring 15 cm is
275 cm
100 cm
120 cm
None of above
SOLUTION
Solution : C
Perimeter = Sum of all the sides
Since it is a regular octagon, all sides will be equal.
∴ Perimeter = 8 × length of a side
= 8 × 15 cm
= 120 cm
Question 6
The area of a square of side 14 cm will be:
42 cm2
28 cm2
196 cm2
56 cm2
SOLUTION
Solution : C
Area of square = Side × Side
= 14 × 14
= 196 cm2
Question 7
The perimeter of a square of side 15 cm will be:
90 cm
60 cm
225 cm
34 cm
SOLUTION
Solution : B
Perimeter of square = 4 × length of side
= 4 × 15
= 60 cm
Question 8
Karan wants to cover the floor of his room with lavish tiles. His room is square in shape with sides of 6 m. The shopkeeper told him that the area of each tile is 0.5 m2. Can you tell how many tiles Karan should buy?
108
36
72
144
SOLUTION
Solution : C
Given a square room of side = 6 m.
Area of each tile = 0.5 m2
We know that, area of a square = Side × Side
∴ Area of a square room
= 6 × 6 = 36 m2.So, number of tiles required
= Area of roomArea of a single tile
= 360.5 = 72
Hence, Karan should buy 72 tiles to cover the floor of his room.
Question 9
Find the cost of ploughing a rectangular farm at the rate of ₹ 12/m2 , having length equal to 12 m and width equal to 5 m.
₹ 120
₹ 720
₹ 360
₹ 240
SOLUTION
Solution : B
Area of rectangular field
= length × breadth
= 12 × 5
= 60 m2Cost of ploughing
= Total area × cost per sq. metre
= 60×12
= ₹ 720
Question 10
The area of given figure is:
SOLUTION
Solution : B
Area of the figure = Area of A + Area of B + Area of C
Area of rectangle =length×breadthA , B & C are rectangles
=3×6+4×(6−3)+2×6
=(3×6)+(4×3)+(2×6)
= 18+12+12=42 sq. units