# Free Mensuration 01 Practice Test - 6th grade

### Question 1

The given figure is a combination of

a square and a triangle.

a triangle and a hexagon.

a triangle and a pentagon.

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.

### Question 2

Which of the following options correctly describes the given figure?

It is a regular figure.

It is closed.

Number of sides can be found out.

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.

### Question 3

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

4

14

12

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.

### Question 4

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.

### Question 5

The perimeter of a square is

#### 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.

### Question 6

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

128.82 mm

26.72 cm

27.72 mm

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

### Question 7

Calculate the perimeter of the given figure -

29.2 cm

35.6 cm

30 cm

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 cmPerimeter 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

### Question 8

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

22 cm2

33 cm2

60.5 cm

60.5 cm2

#### SOLUTION

Solution :D

Width of rectangle = 112 cm

Area of rectangle= length × Width

= 112×11

= 60.5 cm2

### Question 9

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.

84.5 m^{2}

169 m^{2}

52 m^{2}

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 m2Area on which grass is grown = Half of the total area

= 1692 = 84.5 m2

### Question 10

The area of a rectangular piece of a board is 36 cm^{2}. If the length is 4 cm, what is the width of the board?

26 cm

4 cm

9 cm

12 cm

#### SOLUTION

Solution :C

Area of rectangle = length × breadth

∴ 36 = 4 × breadth

⇒364 = breadth

⇒ breadth = 9 cm