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CBSE Questions for Class 5 Maths How Many Squares Quiz 1 - MCQExams.com
CBSE
Class 5 Maths
How Many Squares
Quiz 1
Which stamp has the biggest area?
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Stamp D
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Stamp C
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Stamp B
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Stamp A
Calculate the area of following rectangles given length and width
1) Length 20 cm and width 5 cm
2) Length 7 m and width 2 m
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1- 14 sq.cm, 2- 100 sq.cm
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1- 50 sq.cm, 2- 18 sq.cm
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1- 100 sq.cm, 2- 14 sq.cm
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1- 18 sq.cm, 2- 50 sq.cm
Calculate the area of following figures
1) Rectangle of length 4 cm and width 2 cm
2) Square of side length of 3 cm
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1- 8 sq.m, 2- 9 sq.m
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1- 12 sq.cm, 2- 9 sq.cm
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1- 8 sq.cm, 2- 9 sq.cm
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1- 9 sq.cm, 2- 8 sq.cm
Figure shows a square grid. If each square has side length of 1 cm, draw two circles, one with greatest area and other with smallest area.
What is the radius of biggest circle and what is the radius of smallest circle?
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1- 12 cm, 2- 0.5 cm
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1- 12 cm, 2- 1 cm
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1- 6 cm, 2- 0.5 cm
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1- 6 cm, 2- 1 cm
what is the perimeter of the given figure? (in ft.)
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7 ft.
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8 ft.
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9 ft.
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10 ft.
Explanation
The added perimeter of the given figure is $$(2+1+1+1+1+2)=8 \ ft.$$
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 square having side length of 5 cm
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Area of irregular figure is greater approximately by 20 sq.cm
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Area of square is greater approximately by 20 sq.cm
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Area of both the figures is same
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Can't be specified
Raghu walks around a park everyday. How far does he walk in one
round?
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$$198$$ m
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$$298$$ m
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$$228$$ m
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$$328$$ m
Explanation
In $$1$$ round Raghu walks $$(66+75+102+85)m=328m$$
The least number of square tiles that will be needed to pave a plot 225 m by 30 m is ...........
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30 tiles
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15 trles
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25 tiles
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45 tites
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Answer required
Distance between two dots is $$1\,cm$$
Find the perimeter of Green Rectangle
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$$12$$ cm
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$$14$$ cm
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$$15$$ cm
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$$20$$ cm
Explanation
$$\therefore$$ This is the given rectangle with distance between two dots $$=1cm$$
Length $$(l)=4cm$$
Breadth $$(b)=3cm$$
Perimeter of given rectangle $$=2(l+b)$$
$$=2(4+3)$$
$$=14cm$$
$$\therefore$$ Hence, option (B) is correct.
Find the perimeter of the following figure?
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$$800\ m$$
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$$600\ m$$
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$$1200\ m$$
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None of these
Explanation
Perimeter of figure = sum of all sides $$=100+100+100+100+100+100$$
$$=600m$$
If an area of a rectangle is 100 square cm and width of the rectangle is 5 cm, then what is the length of rectangle
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25 cm
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20 cm
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15 cm
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12 cm
If area of a rectangle is 81 square cm and length of rectangle is 9 cm, then what is width of rectangle?
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72 cm
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9 cm
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9 m
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8 cm
Given side of the square, calculate area of the square
1) side length 4 m
2) side length 9 cm
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1- 16 sq.cm, 2- 36 sq.cm
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1- 36 sq.cm, 2- 16 sq.cm
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1- 81 sq.cm, 2- 36 sq.cm
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1- 16 sq.cm, 2- 81 sq.cm
How many squares of one centimetre
side does stamp A cover?
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12
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18
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8
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6
The area of stamp F is
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8 square cm
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18 square cm
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12 square cm
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6 square cm
In the figure given, the side of square $$ABCD$$ is $$7cm$$. What is the area of the shaded portion, formed by the arcs $$BD$$ of the circles with centre at $$C$$ and $$A$$?
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$$7{cm}^{2}$$
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$$28{cm}^{2}$$
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$$14{cm}^{2}$$
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$$21{cm}^{2}$$
Explanation
Given:
Side of square $$ABCD = 7 cm$$
To find: Area of shaded portion formed by $$arc \, BD$$ of circles with centre at $$C$$ & $$A$$.
Area of shaded portion $$= 2 [ Area \, of \, sector \, BD - Area \, of \, \Delta ABD]$$
$$= 2 \left[\dfrac{\theta}{360^{\circ}} \times \pi r^2 - \dfrac{1}{2} \times base \times height \right]$$
$$\therefore \begin{Bmatrix} Area \, of \, sector = \dfrac{\theta}{360^{\circ}} \times \pi r^2 \\ Area \, of \, triangle = \dfrac{1}{2} \times base \times height \end{Bmatrix}$$
$$= 2 \left[\left[\dfrac{90}{360^{\circ}} \times \dfrac{22}{7} \times 7 \times 7 \right) - \dfrac{1}{2} \times 7 \times 7 \right]$$
$$= 2 \left[\dfrac{77}{2} - \dfrac{49}{2} \right]$$
$$= 2 \times \dfrac{28}{2}$$
$$= 28 cm^2$$
The correct option is (B) i.e. $$28 cm^2$$.
Find the sum of the perimeters of the figures given above.
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$$350$$ cm
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$$360$$ cm
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$$370$$ cm
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$$380$$ cm
Explanation
Perimeter is simply the sum of sides of figure.
Perimeter for first figure(triangle) $$=(60+50+60)=170\,cm$$
Perimeter for first figure(rectangle) $$=(60+40+60+40)=200\,cm$$
So, the sum of perimeter $$=170+200=370$$ cm
What is the area of the given figure?
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$$21$$ square units
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$$23$$ square units
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$$25$$ square units
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$$27$$ square units
Explanation
In the given figure, there are $$22$$ complete squares and $$2$$ half squares.
Hence, total number of unit squares $$=23$$
Now, $$1\blacksquare =1$$ square unit
$$\therefore\ $$ Area of figure $$=23$$ square units.
Hence, option B is correct.
The green triangle contains halves of one square and one rectangle. What is the area of the green triangle __________?
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$$20\ sq \ units$$
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$$10\ sq \ units$$
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$$15\ sq \ units$$
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$$25\ sq \ units$$
What is the area of the shaded figure?
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$$26cm^2$$
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$$52cm^2$$
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$$64cm^2$$
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$$56cm^2$$
Explanation
Area of $$1$$ small square $$=(2\times 2)cm^2$$
$$=4cm^2$$
Number of shaded square$$=14$$
$$\therefore$$ Shaded area $$=14\times 4=56cm^2$$.
Find the area of the given plot. (All measures are in metres.)
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$$6750\,m^{2}$$
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$$6000\,m^{2}$$
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$$7500\,m^{2}$$
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$$4000\,m^{2}$$
The following figures are drawn on a sheet of squared paper. Count number of squares closed by each figure and find its area, taking the area of each square as $$1\ cm^2$$.
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$$5 \ cm^2$$
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$$4 \ cm^2$$
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$$8 \ cm^2$$
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$$10 \ cm^2$$
Explanation
This figure contains $$6$$ complete squares and $$4$$ half square
Area of $$1$$ small square $$=1\ cm^2$$
Area of the figure = Number of complete square $$\times $$ Area of the square
$$=(6\times 1)+(4\times 1/2)$$
$$=6+4/2$$
$$=16/2$$
$$=8\ sq.cm$$
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$$5 \pi $$
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$$7 \pi $$
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$$ 6\pi $$
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$$8\pi$$
The area of the largest rectangle that can be inscribed in a semicircle of radius $$10$$ is
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$$200$$
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$$150$$
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$$50$$
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$$100$$
In Fig., perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
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True
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False
Explanation
It is true.
Because, we know that the perimeter is the sum of all sides of closed shapes or polygons.
By observing figure we can say that figure $$2$$ has a greater perimeter as it has some extra edges than figure $$1$$.
Whereas figure $$2$$ has less area than figure $$1$$, because some part in $$2$$ is cutted out
All triangles may not have the same perimeter.
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True
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False
Explanation
It is true.
In given figure, all triangles have only base line is equal and no such other sides are equal to each other.
And perimeter is sum of all sides.
So, all triangles may not have the same perimeter.
If square A has an area of 49 square cm and square B has an area of 36 square cm, what is the side length of both the squares?
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Square A- 7 cm and square B- 6 cm
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Square A- 9 cm and square B- 4 cm
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Square A- 6 cm and square B- 7 cm
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None of the above
If area of one stamp is $$2 cm^2$$ , then what is the area of such 10 stamps?
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10
$$ cm^2$$
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20
$$ cm^2$$
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25
$$ cm^2$$
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15
$$ cm^2$$
Explanation
Given ,
Area of one stamp =$$2 cm^2$$
Therefore Area of 10 stamps=$$2*10$$
=$$20 cm^2$$
Hence option (B) is correct
If square A has a side length of 2 cm and another square B has a side length of 4 cm, then which square has greater area?By how much?
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Area of square A is greater by 12 sq.cm
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Area of square B is greater by 12 sq.cm
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Area of both the squares is same
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None of the above
If side of the square is 1 centimetre, then what is the area of square?
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1 $$ cm^2$$
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2
$$ cm^2$$
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3
$$ cm^2$$
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4
$$ cm^2$$
Explanation
Given ,side of a square=$$ 1 cm$$
Therefore area of square =$$(side)^2$$
=$$(1 cm)^2$$
=
$$1 cm^2$$
Hence option (A) is correct
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