MCQ Questions for Class 5 Maths How Many Squares Quiz 5

Compare the area of two triangles and state whether they are same or not

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Area of left triangle is greater
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Area of right triangle is greater
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Area of both triangles is same
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Can't determine

Given two figures as below-
1) Square A with area 9 sq.cm
2) Square B with side double of square A

What is the area of square B?

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12 sq.cm
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30 sq.cm
0%
36 sq.cm
0%
40 sq.cm

Given two figures as below-
1) Square A with area 9 sq.cm
2) Square B with side double of square A

Perimeter of square B is_________times perimeter of square A

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3 times
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2 times
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4 times
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6 times

Figure shows a square grid. If each square has side length of 1 cm, draw two squares, one with greatest area and other with smallest area.
What is the area of biggest square and what is the area of smallest square?

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Biggest square 180 sq.cm and smallest square 2 sq.cm
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Biggest square 180 sq.cm and smallest square 1 sq.cm
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Biggest square 90 sq.cm and smallest square 2 sq.cm
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Biggest square 90 sq.cm and smallest square 1 sq.cm

Figure shows a square grid. If each square has side length of 1 cm, draw two rectangles, one with greatest area and other with smallest area.
What is the area of biggest rectangle and what is the area of smallest rectangle?

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Biggest rectangle 144 sq.cm, smallest rectangle 1 sq.cm
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Biggest rectangle 180 sq.cm, smallest rectangle 2 sq.cm
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Biggest rectangle 144 sq.cm, smallest rectangle 2 sq.cm
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Biggest rectangle 180 sq.cm, smallest rectangle 1 sq.cm

Figure shows a square grid. If each square has side length of 1 cm, draw two triangles, one with greatest area and other with smallest area.
What is the area of biggest triangle and what is the area of smallest triangle?

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Biggest triangle 90 sq.cm and smallest triangle 0.5 sq.cm
0%
Biggest triangle 180 sq.cm and smallest triangle 1 sq.cm
0%
Biggest triangle 90 sq.cm and smallest triangle 1 sq.cm
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Biggest triangle 180 sq.cm and smallest triangle 0.5 sq.cm

Calculate the approximate area of following irregular figure. Let each square in square grid has side length of 1 cm. Compare this area with the area of rectangle having length 5 cm and breadth 3 cm.

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Area of both the figures is same
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Area of irregular figure is approximately greater by 4 sq.cm
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Area of rectangle is approximately greater by 10 sq.cm
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Area of rectangle is approximately greater by 4 sq.cm

If a rectangular classroom has length of 150 cm and breadth of 100 cm and if one student occupies 100 sq.cm place, then how many students can be accommodated inside the classroom?

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100
0%
125
0%
160
0%
150

In the figure below, determine the area of the shaded region of the figure.

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9.354
0%
10.52
0%
16.437
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49

Explanation

Area of shaded region = Area of square - Area of circle.

Area of square

$= a^2 = 7^2 = 49 cm^2$

$\Rightarrow$ Length of the side will be diameter of circle.

$\therefore$ Radius of circle

$= \dfrac{d}{2} = 3.5 cm$

Area of circle

$= \pi r^2 = 3.14 \times (3.5)^2$

$= 38.465 cm^2$

Area of shaded region

$= 49 - 38.465$

$= 10.535 cm^2$

$\simeq 10.52 cm^2$

$\therefore$ Hence, Option (B) is correct.

2106103_537585_ans_10eb852aebe148278041b4ef56a456ea.png

Consider a square

$ABCD$ of side lengthLet

$P$ be the set of all segments of length 1 with end points on adjacent ides of square

$ABCD$ . The midpoints of segments in

$P$ enclose a region with area

$A$ , the value of

$A$ is

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$\dfrac{\pi}{4}$
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$1-\dfrac{\pi}{4}$
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$4-\dfrac{\pi}{4}$
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None of these

A rectangular tank has a capacity of

$24 l$ . If its length is twice its breadth and its height is

$\frac{3^{th}}{4}$ its length, find its length.

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25 cm
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30 cm
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40 cm
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45 cm

In the figure given.

$\triangle {ABC}$ is a right-angled triangle, right-angled at

$A$ . Semicircles are drawn on the sides

$AB,BC$ and

$AC$ . Then the area of teh shaded portion is equal to which one of the following ?

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Area of $\triangle{ABC}$
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2 times the area of $\triangle{ABC}$
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Area of the semicircle $ABC$
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NONE OF THE ABOVE

A rectangular sheet of paper is

$3cm\times 2cm$ . If a greatest possible circle is cut out from it, the area of the remaining paper is:

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$(9-\pi) {cm}^{2}$
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$(9-4\pi) {cm}^{2}$
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$(6-\pi) {cm}^{2}$
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$(6-4\pi) {cm}^{2}$

Two equal circles are cut out of a rectangle of card of dimensions

$16$ by

$8$ . The circles have the maximum diameter possible. What is the approximate area of the paper remaining after the circles have been cut out?

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$104$
0%
$78$
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$54$
0%
$27$
0%
$13$

What is the total surface area of a cubical box having one-side of length

$5cm$ ?

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$125{ cm }^{ 2 }$
0%
$214{ cm }^{ 2 }$
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$180{ cm }^{ 2 }$
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$205{ cm }^{ 2 }$

Seven semi-circular areas are removed from the rectangle

$ABCD$ as shown in the figure, in whihc

$AB=2cm$ and

$AD=0.5cm$ . The radius of each semi-circle

$r,s,t,u,v$ is half of that of semi-circle

$p$ or

$q$ . What is the area of the remaining portion?

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$(128-13\pi)/128$ ${cm}^{2}$
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$(125-13\pi)/125$ ${cm}^{2}$
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$(128-15\pi)/128$ ${cm}^{2}$
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NONE OF THE ABOVE

Two poles of heights 6 metres and 11 metres

stand vertically on a plane ground. If the distance between their feet is 12

metres, what will be the distance between their tops?

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10 m
0%
12 m
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13 m
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15 m

The diameter of a coin is

$1cm$ . If four of these coins be placed on a table so that the rim of each touches that of the the other two, find the area of the unoccupied space between them (

$\pi=3.1416$ ).

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$0.2146$ sq.cm
0%
$0.7854$ sq.cm
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$0.1471$ sq.cm
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$0.2106$ sq.cm
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NONE OF THESE

The shaded region in the given figure is:

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$A \cup \left( {B \cup C} \right)$
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$A \cup \left( {B \cap C} \right)$
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$A \cap \left( {B - C} \right)$
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$A - \left( {B \cup C} \right)$

Calculate the perimeter and area of the given figure respectively, if radius of circle is 7 cm.

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$144 \mathrm { cm } , 462 \mathrm { cm } ^ { 2 }$
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$156 \mathrm { cm } , 562 \mathrm { cm } ^ { 2 }$
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$122 \mathrm { cm } , 294 \mathrm { cm } ^ { 2 }$
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$140 \mathrm { cm } , 394 \mathrm { cm } ^ { 2 }$

In the figure,

$\square A B C D$ is a rhombus and

$\square$

$DBPG$ is a square. If

$l ( A O ) = 6 \mathrm { cm }$ and

$l ( B O ) = 8 \mathrm { cm } ,$ find the area of the complete figure.

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$352$ $\mathrm { cm } ^ { 2 }$
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$304$ $\mathrm { cm } ^ { 2 }$
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$280$ $\mathrm { cm } ^ { 2 }$
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$232$ $\mathrm { cm } ^ { 2 }$

In the picture , the big triangle is equilateral and has areaThe lines are parallel to the sides of the triangle and divide the sides into three equal parts. What is the area of the shaded part.

0%
$1$
0%
$4.5$
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$6$
0%
$7$

ABCD is a rectangle and there are four equilateral triangles. Area of

$\triangle{ASD}$ equals to area of

$\triangle{BQC}$ and area of

$\triangle{DRC}$ equals to area of

$\triangle{APB}$ . The perimeter of the rectangle is 12 cm. Also the sum of the area of the four triangles is

$10\sqrt{3}cm^2$ , Then the total area of the figure thus formed is

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$2(4+5\sqrt{3})cm^2$
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$5(4+2\sqrt{3})cm^2$
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$42\sqrt{3}cm^2$
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$5(4-2\sqrt{3})cm^2$

Find the area of the shaded region

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170 $cm^2$
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160 $cm^2$
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150 $cm^2$
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140 $cm^2$

The decorative block shown in the figure is made of two solids, a cube and a hemisphere. The base of the block is a cube with edge

$5$ cm, and the hemisphere fixed on the top has a diameter of

$4.2$ cm. The total surface area of the block is _________.

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$150cm^2$
0%
$160.86cm^2$
0%
$162.86cm^2$
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$163.86cm^2$

Fig. 12.26 depicts a racing track whose left and right ends are semicircular.
The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find :

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the distance around the track along its inner edge
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the area of the track.
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Both A and B
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None of these

Find the area of the shaded portion.

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150.86 sq. cm
0%
148.23 sq. cm
0%
126 sq. cm
0%
178 sq. cm

Explanation

${\textbf{Hint:Recall the Area of Circle and Semicircle}}$

${\textbf{Step -1: Find the area of the semicircle.}}$

${\text{From the figure we can observe that both the semicircles have same radius}}{\text{.}}$

${\text{i.e}}{\text{.}}$ $r = 4cm$

${\text{Area of semicircle}}$ $= \frac{{\pi {r^2}}}{2}$

$\Rightarrow$ ${\text{Area of semicircle}}$ $= \frac{{\pi {{\left( 4 \right)}^2}}}{2}$

$\Rightarrow$ ${\text{Area of semicircle}}$ $= \frac{{3.14 \times 16}}{2} = 25.12c{m^2}$

${\text{Since, both the semicircles are same}}{\text{.}}$

$\therefore$ ${\text{Area of not shaded part}}$ $= 2 \times$ $\left( {{\text{Area of semicircle}}} \right)$

$= 2 \times 25.12c{m^2}$

$= 50.24c{m^2}$

$\textbf{Step -2: Find area of circle having radius as }$ $\mathbf{ 8 cm.}$

${\text{Area of circle }}\left( {\text{A}} \right)$ $= \pi {r^2}$

$\Rightarrow A = 3.14 \times 8 \times 8$

$\Rightarrow A = 200.96c{m^2}$

${\textbf{Step -3: Find area of shaded part.}}$

${\text{Area of shaded part}}$ $=$ $\left( {{\text{Area of circle}}} \right) - \left( {{\text{Area of two semicircles}}} \right)$

$\Rightarrow {\text{Area of shaded part}}$ $= 200.96 - 50.24$

$\Rightarrow {\text{Area of shaded part}}$ $= 150.72c{m^2}$

${\textbf{ Hence, the area of shaded portion is }}$ $\mathbf {150.72 sq.cm} \mathbf .$

$\textbf{So, the correct option is A.}$

The given figure shows a right-angled triangle

$ABC$ and an equilateral triangle

$BCD$ . Find the area of the shaded portion.

0%
$16 \sqrt 3$
0%
$16 \sqrt 2$
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$8 \sqrt 3$
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$8 \sqrt 2$

Find the total area of shaded region in the given figure

0%
$400\;c{m^2}$
0%
$404\;c{m^2}$
0%
$396\;c{m^2}$
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$275\;c{m^2}$

Two goats are tied to two adjacent corners of a square plot of side 28 m with ropes each 14 m long. Find the area not grazed by the goats in the plot in

${ m }^{ 2 }.$

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168
0%
476
0%
376
0%
238

CBSE Questions for Class 5 Maths How Many Squares Quiz 5 - MCQExams.com

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Practice Class 5 Maths Quiz Questions and Answers

CBSE Questions for Class 5 Maths How Many Squares Quiz 5 - MCQExams.com

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Practice Class 5 Maths Quiz Questions and Answers

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