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CBSE Questions for Class 5 Maths Area And Its Boundary Quiz 1 - MCQExams.com
CBSE
Class 5 Maths
Area And Its Boundary
Quiz 1
If each square is of side 1 cm, then what is the area of rectangle?
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25 sq.cm
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30 sq.cm
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20 sq.cm
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30 sq.cm
If the number of square centimetres on the surface area of a sphere is three times the number of cubic centimeters in its volume, then what is its diameter?
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$$1cm$$
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$$2cm$$
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$$3cm$$
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$$6cm$$
Books A and B are made from paper of the same roll. The dimensions of book B are double those of book A. Both the books are kept with their largest area flat on a horizontal table. Select the correct statement.
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Volume of book B is 6 times that of book A.
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Pressure exerted by book B on the table is 4 times that by book A.
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Weight of book B is 4 times that of book A
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None of the statements above is correct.
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 $$(2+1+1+1+1+2)=8 \ ft.$$
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
Let there be a rectangle of area $$24\ cm^{2}$$. Then find the total number of square grids made in this rectangle.(Each square grid measures $$1\ cm^{2}$$)
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$$3$$
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$$6$$
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$$12$$
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$$24$$
Explanation
Number of square grids$$=\cfrac { Area\quad of\quad rectangle }{ area\quad of\quad square\quad grid } =\cfrac { 24 }{ 1 } =24$$
The figure is made up of $$11$$ squares of the same size. The area of the figure is $$99\ cm^2$$. Find the perimeter of the figure.
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$$12\ cm$$
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$$24\ cm$$
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$$48\ cm$$
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$$36\ cm$$
Explanation
Area of figure$$=99\ cm^2$$
$$\Rightarrow$$ Area of $$11$$ small squares $$=99\ cm^2$$
$$\Rightarrow$$ Area of $$1$$ small square$$=99\div 11=9\ cm^2$$
$$\Rightarrow$$ Side of $$1$$ small square$$=3\ cm$$
$$\therefore$$ Perimeter of the figure $$=16\times 3=48\ cm$$
Check the validity of the statement.
The area of a square is given to be $$3.02 \, cm^2$$.
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True
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False
Form a rectangle with $$8$$ square grids where each square grid measure $$1\ cm^{2}$$. Find the total area of the rectangle.
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$$8\ cm^{2}$$
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$$12\ cm^{2}$$
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$$16\ cm^{2}$$
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$$20\ cm^{2}$$
Explanation
Area of rectangle$$=8\times $$ area of $$1$$ square grid$$=8\times 1=8 cm^2$$
Out of two figures if one has larger area, then its perimeter needs not to be larger than the other figure.
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True
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False
Explanation
It is true.
Because the perimeter is the sum of all sides of closed shapes or polygons while the area is just bounded space insides.
Let's take example of rectangle and square
Example:
Rectangle
length = $$6$$, breadth = $$4$$,
So, Area=$$6\times 4=24$$
And perimeter=$$2\times6+2\times4=12+8=20$$
Let, square
side=$$5$$
So, Area=$$5^2=25$$
And perimeter=$$4\times5=20$$
Here, area of square is larger than rectangle but its perimeter is not larger than rectangles.
hence, given statement holds true.
The area of Square is $$100cm^2$$.It cuts in $$4$$equal sized Squares .Find area of one of them in $$m^2$$
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$$.25m^2$$
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$$.025m^2$$
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$$25m^2$$
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$$.0025m^2$$
A white Board has Area $$88m^2$$ is divided in $$8$$equal parts .Find area of each Square.
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$$10m^2$$
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$$11m^2$$
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$$20m^2$$
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$$none$$
State whether the given statement is true or false
The Area of a square is given to be $$100 m^2$$
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True
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False
Consider the rectangle A with perimeter 30 cm. If rectangle B is having same perimeter as rectangle A and length of rectangle B is 9 cm, then what is the breadth of rectangle B?
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8 cm
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6 cm
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9 cm
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5 cm
Explanation
Given Perimeter of rectangle A = 30m = perimeter of rectangle B
We know Perimeter = $$2\times(length + breadth)$$
length = 9cm
$$\Longrightarrow$$ $$18 + 2b = 30$$
$$\Longrightarrow2b = 12 \Longrightarrow b = 6cm$$
Consider rectangle A with length 20 cm and breadth 5 cm. If rectangle B has same area as rectangle A and length of rectangle B is 10 cm, then calculate ratio of perimeter of rectangle A with that of B.
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$$\dfrac{50}{40}$$
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$$\dfrac{40}{50}$$
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$$\dfrac{1}{1}$$
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None of the above
Consider two rectangles as given below-
1) Rectangle A- Length of 4 cm and breadth of 6 cm
2) Rectangle B- Length of 8 cm and breadth of 3 cm
Which rectangle has more perimeter and by what amount?
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Rectangle A has greater perimeter by 2 cm
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Rectangle B has greater perimeter by 2 cm
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Both the rectangles have same perimeter
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Rectangle B has greater perimeter by 1 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
Is it possible for two figures to have same area and different perimeters? Explain by giving examples.
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Yes, it is possible
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No, it is not possible
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Can't say
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Wrong question
Explanation
Yes, it is possible for two figures of same area to have different perimeters.
$$Example:$$ Consider a rectangle of length $$2cm$$ and breadth $$8cm$$.
Area of rectangle = $$8\times 2 = 16cm^2$$
Perimeter of rectangle = $$2(8+2) = 2\times10 = 20cm$$
Now, consider a square of side $$4cm$$
Area of square = $$4\times4 = 16cm^2$$ $$=$$ area of rectangle
Perimeter of square = $$4\times 4 = 16cm$$ $$\neq$$ perimeter of rectangle
Consider two figures as given below-
1) Rectangle A- Length of 8 cm and breadth of 2 cm
2) Square B- Side length 4 cm
Which figure has more perimeter and by what amount?
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Perimeter of rectangle is greater by 4 cm
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Perimeter of square is greater by 4 cm
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Perimeter of square is greater by 6 cm
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Perimeter of both the figures is same
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