MCQ Questions for Class 6 Maths Understanding Elementary Shapes Quiz 11

All squares are trapeziums.

0%
True
0%
False

Explanation

$\Rightarrow$ A trapezium is a quadrilateral with at least one pair of parallel sides.

$\Rightarrow$ In a square, there are always two pairs of parallel sides, so every square is trapezium.

$\therefore$ All squares are trapeziums.

1264251_703201_ans_48ca2b911d444ed3890fae6e10ad37a8.jpeg

How many faces, edges and vertices respectively does the given solid have?

0%
$8, 12, 18$
0%
$10, 18, 12$
0%
$8, 18, 12$
0%
$10, 12, 18$

Explanation

Number of faces

$= 8$
Number of edges

$= 18$
Number of vertices

$= 12$ .

Two positions of a dice are shown below. If the face with

$1$ dot is at the bottom, then the number of dots on the top face is

0%
$2$
0%
$3$
0%
$4$
0%
$5$

Explanation

Given (Ref. image 1)

Find : Dots on the top when

$1$ dot is at the bottom.

Solution : By seeing both dices we find two faces have same

$3$ dots.

So Rearrange the dices dots in clockwise.

Here dots

$3$ are same and different No. of dots are opposite in Both dices respectively as

$5 \leftrightarrow 6 \, ; \, 4 \leftrightarrow 2$ so Remaining

$3$ dots are opposite to

$1$ dot.

Hence the correct answer is option B.

2064693_811056_ans_aea867e50edd4157b399884e65f8719c.png

The number of corners, edges, and faces of a cuboid respectively are

0%

$8,6,12$
0%
$4,3,6$
0%
$4,4,10$
0%
$8,4,12$

Explanation

A cuboid has

$8$ corners/vertices,

$12$ edges and

$6$ faces.

Hence, option

$A$ is correct.

The measure of an acute angle is always

$< 90^{o}$ .

0%
True
0%
False

Explanation

Acute angles are the angles whose measurements fall between

$0$ and

$90$ degrees.

$\therefore$ The above statement is true.

Number of vertices of a pyramid whose base is a polygon of n-sides.

0%
$n$
0%
$n+3$
0%
$n+1$
0%
$n+2$

Say True or False.
All the sides of a rhombus are of equal length.

0%
True
0%
False

Say True or False.
All the sides of a parallelogram are of equal length.

0%
True
0%
False

Explanation

In parallelogram,

Opposite sides are equal is length.

Therefore in parallelogram ABCD

$.AB=CD$

$.BC=AD$

$.But AB\neq BC\neq CD\neq AD$

1338501_1644524_ans_a37d21fb95714c2b93a765cf1c7acbd5.png

Mark the correct alternative of the following.
The number of degrees in

$3$ right angles is?

0%
$180^o$
0%
$360^o$
0%
$270^o$
0%
$90^o$

Explanation

As we know

$1$ right angle

$=90^o$ .

$3$ right angles

$=3\times 90^o=270^o$ .

Mark the correct alternative of the following.
An angle of measure

$140^o$ is?

0%
An acute angle
0%
An obtuse angle
0%
A straight angle
0%
A complete angle

Explanation

An angle that measures

$<180^o$ but

$>90^o$ is called an obtuse angle.

Here it is given

$140^o$ , so it is an obtuse angle.

Plane figure with five sides is known as

0%
octagon
0%
hexagon
0%
pentagon
0%
none of these

Plane figure with three sides is called

0%
rectangle
0%
triangle
0%
quadrilateral
0%
none of these

Plane figure with four sides is known as a

0%
pentagon
0%
triangle
0%
quadrilateral
0%
none of these

Explanation

A plane figure having four sides is known as a quadrilateral.

The name has been derived from Latin words 'quadri', meaning

$4$ and 'latus', meaning 'sides'.

Hence, C is the correct answer..

An angle measuring

$270^{o}$ is:

0%
an obtuse angle
0%
an acute angle
0%
a straight angle
0%
a reflex angle

Explanation

The given measure of angle is

$270^o.$

Reflex angles are angles measuring greater than

$180^o$ and less than

$360^o.$

$\therefore$

$270^o$ is a reflex angle.

Hence, option

$D$ is correct.

A triangle having sides of different lengths is called

0%
an isosceles triangles
0%
an equilateral triangle
0%
a scalene triangle
0%
a right triangle

State true or false:
A cone has one vertex.

0%
True
0%
False

Explanation

We know that vertex is a point where two or more line segments meet.

The above figure shows a cone. It has

$1$ vertex,

$1$ curved edge,

$1$ flat face and

$1$ $ curved face.

Hence, the given statement is true.

1634979_1780882_ans_de60a0beaa574dc0bacd4bc4719beec9.png

A cube has 6 faces, 12 edges and 8 vertices.

0%
True
0%
False

Explanation

A cube is a 3D object, like shown in the above diagram.

It has

$6$ square-shaped faces,

$12$ edges and

$8$ corners or vertices.

Hence, the given statement is true.

1633428_1780881_ans_17adda1bd8d6429ebc5171e8c6ca81d7.PNG

State true or false:
A cylinder has no vertex.

0%
True
0%
False

Explanation

The above diagram shows a cylinder. It has

$2$ curved edges,

$C_1$ and

$C_2$ ,

$2$ flat faces,

$F_1$ and

$F_2$ and

$1$ curved face. It has no vertex.

Hence, the given statement is true.

1633404_1780880_ans_6a334143703c4623922ab00c67364513.PNG

The ratio of the number of sides of a square and the number of edges of a cube is

0%
$1:2$
0%
$1:3$
0%
$1:4$
0%
$2:3$

Explanation

Number of sides of square

$=4$
Edges of cube

$=12$

$\therefore$ Ratio

$=4:12$

$\Rightarrow 1:3$

Measures of the two angles between an hour and minute hands of a clock at 9'O clock are

0%
${ 60 }^{ o },{ 300 }^{ o }$
0%
${ 270 }^{ o },{ 90 }^{ o }$
0%
${ 75 }^{ o },{ 285 }^{ o }$
0%
${ 30 }^{ o },{ 300 }^{ o }$

Explanation

$\textbf {Step1: Draw a relevant figure.}$

At 9 O'clock the minute hand will be at 12 and the hour hand will be at 9 as shown in figure.

$\textbf {Step 2: Identify the angles.}$

From the above figure, we can say that the angle between hour hand and minute hand of the clock is 90,270.

$\textbf {Hence, option B is correct.}$

The number of diagonals in a spetagon is

0%
$21$
0%
$42$
0%
$7$
0%
$14$

Explanation

Number of the diagonal in a polygon, where

$n$ isnumber of side of a polygon is

$\cfrac{n(n-3)}2$
Septagon has

$7$ sides, number of sides in a septagon

$n=7$

$\therefore\text{Number of diagonals in septagon}= \cfrac { 7(7-3) }{ 2 } =\cfrac { 7\times 4 }{ 2 } = 7\times 2=14$

So, option

$D$ is correct.

A polygon has a prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

0%
$4$
0%
$5$
0%
$7$
0%
$10$

Explanation

Given

Number of sides in the polygon

$=$ sum of the two least consecutive primes

$=2+3$ (

$\because$

$2$ and

$3$ are least consecutive prime number)

$=5$
We know that

The number of diagonal

$=\dfrac { n(n-3) }{ 2 }$ where,

$n=$ no. of sides

$= \dfrac { 5\times (5-3) }{ 2 } =5$

State true or false:

A polygon having 6 sides is called an octagon.

0%
True
0%
False

In figure, lines

$PQ$ and

$ST$ intersect at

$O$ . If

$\angle POR=90^o$ and

$x:y =3:2$ , then

$z$ is equal to

0%
$126^o$
0%
$144^o$
0%
$136^o$
0%
$154^o$

Explanation

We can see in the given figure,

$PQ$ is a straight line

$\therefore \angle POR +ROT +\angle TOQ =180^o$

$\Rightarrow 90^o +x+y=180^o$

$\Rightarrow x+y=90^o$

$\Rightarrow x+y=90^o$ ...(1)

Given that,

$\dfrac xy =\dfrac 32$

Let

$x=3K$ and

$y=2K$

From equation (1)

$\Rightarrow 3K+2K=90^o$

$\Rightarrow K=\dfrac{90^o}{5}$

$\Rightarrow K=18^o$

$\therefore y=2\times 18^o =36^o$

Now,

$SOT$ is a straight line

$\Rightarrow z+y=180^o$

$\Rightarrow z+36^o =180^o$

$\Rightarrow z=180^o-36^o$

$\Rightarrow z=144^o$

Hence, Option

$(B)$ is correct.

In Fig. which of the following is a regular polygon?

0%
(i)
0%
(ii)
0%
(iii)
0%
(iv)

Explanation

Option

$B$ is right

For a regular polygon, all sides and all angle must be equal to each other.

And, only figure

$(ii)$ follows this condition.

In a triangle, one angle is of

$90^{o}$ . Then
(i) The other two angles are of

$45^{o}$ each
(ii) In remaining two angles, one angle is

$90^{o}$ and other is

$45^{o}$
(iii) Remaining two angles are complementary

In the given option(s) which is always true?

0%
(i) only
0%
(ii) only
0%
(iii) only
0%
(i) and (ii)

In figure, the value of

$x$ is

0%
$110^o$
0%
$46^o$
0%
$64^o$
0%
$150^o$

Explanation

Option (d) is correct.
As we knew, the angle made around a point is

$360$ degree.
Then,

$\therefore y+64^o +46^o +100^o -360^o$

$\Rightarrow y+210^o =360^o$

$\Rightarrow y=360^o -210^o$

$\Rightarrow y=150^o$

It is possible to have a triangle in which two of the angles are obtuse.

0%
True
0%
False

Explanation

False
By angle sum property we know,

$\angle A+ \angle B+ \angle C =180^{o}$
According to the question, two angles are obtuse,

$\therefore \angle B+ \angle C > 180^{o}$
Thus, Triangle is not possible

In a solid if

$F=V = 5$ , then the number of edges in this shape is

0%
6
0%
4
0%
8
0%
2

Explanation

The correct answer is option

$(c).$

For any polyhedron, Euler' s formula ;

$F + V - E = 2$

Where,

$F$ = Face and

$V$ = Vertices and

$E$ = Edges

Given,

$F = V = 5$

On putting the values of

$F$ and

$V$ in the about formulae,

$5 + 5 - E = 2$

$\Rightarrow 10 - E = 2$

$\Rightarrow E = 8$

How many diagonals does a hexagon have ?

0%
$9$
0%
$8$
0%
$2$
0%
$6$

Explanation

The polygon of

$n$ sides

$= \dfrac{n(n - 3)}{2}$

Hexagon has

$6$ sides

$= \dfrac{6 (6 - 3)}{2} = 9$

CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 11 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 11 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

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