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CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 8 - MCQExams.com
CBSE
Class 6 Maths
Understanding Elementary Shapes
Quiz 8
The central angle of a part of a circle which is divided into $$6$$ equal parts is:
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$$60^\circ$$
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$$30^\circ$$
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$$45^\circ$$
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$$90^\circ$$
Explanation
Central angle $$=360^{\circ}$$
Now park is divided in four equal parts.
Let measure of central angle $$=x^o$$
$$\\ x+x+x+x+x+x={ 360 }^{ \circ }\\ 6x={ 360 }^{ \circ }\\ x=\dfrac { { 360 }^{ \circ } }{ 6 } \\ \Rightarrow x={ 60 }^{ \circ }$$
So option $$A$$ is correct.
Danish drew an angle as shown here. Manish drew an angle that was twice the measure of Danish's angle. What was the measure of Manish's angle?
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$$20^o$$
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$$70^o$$
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$$80^o$$
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$$60^o$$
Explanation
Measure of angle drawn by Danish $$=40^o$$
$$\therefore$$ Measure of angle drawn by Danish $$=2\times 40^o=80^o$$.
There are six angles, How many of them are greater than a right angle?
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$$1$$
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$$2$$
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$$3$$
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$$4$$
Explanation
Figure $$A$$, Figure $$B$$ and Figure $$C$$ are the angles which are greater thaan right angle.
Hence the correct answer is option C
Which type of angle best describes angle Q?
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Obtuse
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Acute
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Right
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Straight
Explanation
Measure of angle $$Q$$ is more thaan $$90^o$$ but less than $$180^o$$.
Hence the $$\angle Q$$ is an obtuse angle.
Which of the following has no lines of symmetry ?
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A scalene triangle
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An isosceles triangle
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An equilateral triangle
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All of these
Explanation
$$\Rightarrow$$ An equilateral triangle has three lines of symmetry.
$$\Rightarrow$$ An Isosceles triangle has one line of symmetry.
$$\Rightarrow$$ A scalene triangle does not have any line of symmetry.
$$\therefore$$ Correct answer is option $$A$$.
The clock shows the time in the morning. Then, angle represents _________ angle.
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Acute
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Obtuse
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Reflex
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Straight
Explanation
Any angle which is larger than $$180^o$$ but smaller than $$360^o$$ is called as a reflex angle.
Here, the angle shown
is larger than $$180^o$$ but smaller than $$360^o$$.
Hence, it is a reflex angle.
Therefore, option $$C$$ is correct.
An angle which measures more than $$90^o$$ but less than $$180^o$$ is called ___________.
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Acute
0%
Obtuse
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Right
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None of these
Explanation
An angle which measures more than $$90^o$$ but less than $$180^o$$ is called as an obtuse angle.
Which of the following is greater than a right angle?
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0%
0%
0%
Explanation
Option $$A$$- Angle shown is a right angle
Option $$B$$-Angle shown is a acute angle
Option $$C$$-Angle shown is a acute angle
Option $$D$$-Angle shown is an obtuse angle.
Hence option $$D$$ is the correct answer
What is the approximate measure of this angle in degrees?
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$$20^o$$
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$$45^o$$
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$$110^o$$
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$$135^o$$
Explanation
The given angle is a acute angle, so option D and option C is not correct
The approximate value of above angle is $$45^o$$, as the angle of $$20^o$$ would be very small than the given angle
Hence the correct answer is option B.
A
geometrical figure with eight sides is called
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polygon
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hexagon
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octagon
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pentagon
Explanation
Octagon as Oct a means eight. Hence an octagon has eight sides.
Which three dimensional figure has $$5$$ faces, $$8$$ edges and $$5$$ vertices?
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0%
0%
0%
Explanation
A) Rectangular Pyramid-It has $$5$$ faces, $$8$$ edges and $$5$$ vertices.
B) Cube- it has $$6$$ faces, $$12$$ edges and $$8$$ vertices.
C)Cuboid-It has $$6$$ faces, $$12$$ edges and $$8$$ vertices.
D) Cylinder-It has $$3$$ faces, $$2$$ edges and no vertices.
Answer : A
Which of these is NOT a 3-dimensional shape?
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Sphere
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Cuboid
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Cube
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Circle
Explanation
Sphere, Cuboid and Cube are $$3$$-D shapes as they are associated with third dimension which is height.
Now, Circle is $$2$$-D shape as it can has only two dimensions.
$$p :$$ The corners of a solid shape are called its edges.
$$q :$$ The line segments of a solid shape are called its vertices.
Which of the following options hold?
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Both $$p$$ and $$q$$ are true
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$$p$$ is true and $$q$$ is false
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Both $$p$$ and $$q$$ are false
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$$p$$ is false and $$q$$ is true
Explanation
Edges are the line segments which make the sides of a solid shape, whereas, vertex is the corner of a solid shape, the point where edges meet.
Hence, both $$p$$ and $$q$$ are false.
If each pair of opposite sides of a quadrilateral are equal and parallel, then it is a ____________.
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Kite
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Trapezium
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Parallelogram
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None of these
Explanation
if each pair of opposite sides of a quadrilateral is equal and parallel then it is a parallelogram (property of parallelogram)
If you place a ladder against a wall at an angle, what type of a triangle will you get?
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Equilateral triangle
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Right angle t
riangle
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Isosceles t
riangle
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Scalene t
riangle
Explanation
Here $$AO$$ is wall and $$AB$$ is ladder.
Hence,irrespective of what $$\theta$$ is, $$\angle AOB$$ will always be $${ 90 }^{ \circ }$$.
$$\therefore$$ Triangle will always be right-angled.
Which of the following are angles of Obtuse angled triangle?
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$$30^{o},90^{o},60^{o}$$
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$$30^{o},70^{o},80^{o}$$
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$$120^{o},20^{o},40^{o}$$
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$$90^{o},45^{o},45^{o}$$
Explanation
Ans- From given angles obtuse angled triangle pair
is
$$120^{\circ},20^{\circ},40^{\circ}$$
obtuse angle:- Angle greater than $$90^{\circ}$$ but smaller than $$180^{\circ}$$
Say True or False.
The measure of an obtuse angle $$< 90^{\circ}$$.
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True
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False
Explanation
False
The measure of an obtuse angle is greater than $$90^o$$ but less than $$180^o$$.
An angle whose measure is less than that of a right angle is ______.
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Acute
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Obtuse
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Right
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Straight
Explanation
$$Acute \ angle$$ has measure less than $$right \ angle$$
Hence correct answer is $$A) \ Acute$$
An angle whose measure is greater than that of a right angle is ______.
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Acute
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Obtuse
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Right
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Straight
Explanation
$$Obtuse \ angle$$ has measure more than that of $$right \ angle \ but \ less \ than \ 180\ degree$$
Hence correct answer is $$B) \ Obtuse$$
State True or False:
The measure of a reflex angle is $$> 180^{\circ}$$.
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True
0%
False
Explanation
Step 1: True
According to definition, reflex angle is the angle which are greater than $$180^o$$ but less than $$360^o$$.
Therefore, the given statement is true.
An angle whose measure is the sum of the measures of two right angles is _______.
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Acute
0%
Obtuse
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Right
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Straight
Explanation
Step 1: Straight angle
We know that t
he measure of a right angle is $$90^ \circ$$ and the m
easure of a straight angle is $$180^ \circ.$$
Therefore, sum of the measure of two right angles is $$(90+90)^ \circ=180^ \circ.$$
Thus an angle whose measure is the sum of two right angles is $$\text{Straight}.$$
Which of the following statements are true (T) and which are false (F) :
A triangle can have at most one obtuse angles.
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True
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False
Choose the correct option.
$$60^{\circ}$$ is
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Acute angle
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Obtuse
angle
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Reflex
angle
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none of these
Choose the correct option.
$$20^{\circ}$$ is
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Acute angle
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Obtuse
angle
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Reflex
angle
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None of these
State true or false:
Every simple closed curve is a polygon.
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True
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False
Explanation
If we consider a circle it is a simple closed curve but it is not a polygon. Hence, the given statement is false.
Choose the correct option:-
$$200^{\circ}$$ is ________.
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Acute $$\angle$$
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Obtuse $$\angle$$
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Reflex $$\angle$$
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none of these
Explanation
The given measure of angle is $$200^o.$$
We know, reflex angles are angles measuring greater than $$180^o$$ and less than $$360^o.$$
$$\therefore$$ $$200^o$$ is a reflex angle.
Hence, option $$C$$ is correct.
State true or false:
Every polygon has atleast three sides.
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True
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False
Explanation
The given statement is true.
Every polygon has atleast three sides.
If the sum of two angles is greater than $$ 180^{\circ} $$, then which of the following is not possible
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two obtuse angles
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two right angles
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one obtuse and one acute angle
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one reflex and one acute angle
Explanation
$$(B)$$ Two right angles, as the sum will be $$180^\circ$$ only.
Open any two adjacent fingers of your hand. What kind of angle you get
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acute
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right
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obtuse
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straight
Explanation
We get an acute angle.
State whether the following statement are true or false :
'An angle Whose measure is greater than that of right angle is obtuse'.
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True
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False
Explanation
False, because the angle can be obtuse, straight, reflex or complete.
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