# Free Mensuration 01 Practice Test - 6th grade

The given figure is a combination of A.

a square and a triangle.

B.

a triangle and a hexagon.

C.

a triangle and a pentagon.

D.

a pentagon and a square.

#### SOLUTION

Solution : C

The given figure has two parts, the lower part is a triangle and the upper part is a pentagon.

Which of the following options correctly describes the given figure? A.

It is a regular figure.

B.

It is closed.

C.

Number of sides can be found out.

D.

It is an open figure.

#### SOLUTION

Solution : B

Given figure is an irregular figure, for which the number of sides cannot be found out. The figure is also a closed one.

How many sides we have to cover in order to make a complete round of the given figure? A.

4

B.

14

C.

12

D.

10

#### SOLUTION

Solution : C

The given figure has a total of 12 sides (AB, BC, CD, DE, EF, FG, GH, HI, IJ, JK, KL and LA). In order to complete a full round, one should reach the same corner one started from. So, we have to cover 12 sides.

The sum of all the sides of a closed figure is called its ___.

#### SOLUTION

Solution :

The sum of all the sides of a closed figure is termed its perimeter.

The perimeter of a square is ___ times the length of its side.

#### SOLUTION

Solution :

The perimeter is the total length of the boundary of the closed figure. For a square, it is basically the sum of all the sides and in a square, all sides are equal. So, the perimeter is 4 x sides.

Find the perimeter of the following figure (all measurements are in mm): A.

128.82 mm

B.

26.72 cm

C.

27.72 mm

D.

27.72 cm

#### SOLUTION

Solution : C

Perimeter = Sum of lengths of all sides
Perimeter of the given figure = 4.3 mm + 1.52 mm + 5.4 mm + 9.2 mm + 3.1 mm + 4.2 mm
= 27.72 mm

Calculate the perimeter of the given figure - A.

29.2 cm

B.

35.6 cm

C.

30 cm

D.

28.4 cm

#### SOLUTION

Solution : B In the given figure, sides FE and ED are unknown.
Now, FE + GH + CD = AB = 5.6 cm
1.2 + 0.8 + FE = 5.6
FE = 3.6 cm

GF = ED = 5.8 cm and AH = BC = 6.4  cm

Perimeter of the figure is sum of all sides
= HG + GF + FE + ED + DC + CB + BA + AH
= 1.2 cm + 5.8  cm + 3.6  cm + 5.8  cm + 0.8  cm + 6.4  cm + 5.6  cm + 6.4  cm
= 35.6 cm

The area of the rectangle with length 11 cm and width equal to half its length will be

A.

22 cm2

B.

33 cm2

C.

60.5 cm

D.

60.5 cm2

#### SOLUTION

Solution : D

Width of rectangle = 112 cm
Area of rectangle= length × Width
112×11
= 60.5  cm2

There is a square plot with side length equal to 13 m. A farmer wanted to grow grass on half his field and plough the remaining land. Find the area of land used to grow the grass.

A.

84.5 m2

B.

169 m2

C.

52 m2

D.

84.5 m

#### SOLUTION

Solution : A

Given, side of the square plot = 13 m
We know that, area of a square = Side x Side
So, total area of a square
= Side × Side
= 13 x 13 = 169
m2

Area on which grass is grown = Half of the total area
= 1692 = 84.5 m2

The area of a rectangular piece of a board is 36 cm2. If the length is 4 cm, what is the width of the board?

A.

26 cm

B.

4 cm

C.

9 cm

D.

12 cm

#### SOLUTION

Solution : C

Area of rectangle = length × breadth