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CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 7 - MCQExams.com
CBSE
Class 6 Maths
Understanding Elementary Shapes
Quiz 7
Which one of the following triangle is not an obtuse triangle?
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Explanation
A triangle that has an angle greater than $$90^{o}$$ is called as obtuse angled triangle.
Here, the third option has one angle equal to
$$90^{o}$$ which is
right angled triangle is not an obtuse triangle.
Acute triangle that has all angles less than ______.
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$$45$$ degrees
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$$60$$ degrees
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$$90$$ degrees
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$$120$$ degrees
Explanation
Acute triangle that has all angles less than $$90$$ degrees.
What kind of triangle is shown in the figure?
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Obtuse
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Right-angled
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Acute
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Isosceles
Explanation
The triangle which has one obtuse angle is known as an obtuse-angled triangle.
So, the figure shows an obtuse angled triangle.
Identify the acute triangle.
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Explanation
Acute triangle that has all angles less than $$90^{o}.$$
So, the first figure is an acute triangle.
Find the name of the triangle.
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acute isosceles triangle
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acute scalene triangle
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acute obtuse triangle
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acute equilateral triangle
Explanation
The given triangle is an acute equilateral triangle, because the three angles are equal.
What type of triangle is shown in the figure?
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Obtuse
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Right angled
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Isosceles
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Acute
Explanation
Acute triangle that has all angles less than $$90^o$$.
So, the figure shows a triangle which is an acute triangle.
What type of triangle is shown in the figure?
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Acute
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Right angled
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Isosceles
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Obtuse
Explanation
Acute triangle is that has all angles less than $$90^o$$.
So, the figure shows triangle is an acute triangle.
________ triangle that has all angles less than $$90$$ degrees.
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obtuse
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acute
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isosceles
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right angled
Explanation
Acute triangle that has all angles less than $$90$$ degrees.
A polygon with five sides is known as a
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hexagon
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rhombus
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pentagon
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octagon
Explanation
A polygon with five sides is known as a pentagon.
Which of the following figure is a hexagon?
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Figure 2
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Figure 1
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Figure 4
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Figure 3
Explanation
Figure.3 is a hexagon.
Hexagon has $$6$$ sides.
Which one is a $$4$$-sided polygon?
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Figure $$2$$
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Figure $$1$$
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Figure $$4$$
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Figure $$3$$
Explanation
Figure.2 is a $$4$$-sided polygon.
Identify the solid in the given figure.
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Triangular prism
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Cuboid
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Rectangular prism
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Pyramid
Explanation
The given figure is a prism with rectangular base, therefore it is a triangular prism.
Piya glued $$4$$ white cubes together as shown. Then she painted the entire object red.
How many faces of the $$4$$ cubes were painted red?
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$$4$$
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$$9$$
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$$18$$
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$$24$$
Explanation
We need to count the number of the faces outside, they will be the ones colored red.
There are $$4$$ faces each on the front, back, upper and down sides.
And $$1$$ faces each on side faces.
So there are in total $$4\times 4 + 2$$, i.e. $$18$$ faces coloured red.
Determine the 2D figure from the given options.
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Cone
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Sphere
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Square
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Prism
Explanation
Square is an example of 2D figure.
Octagon is an example of
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one dimensional figure
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four dimensional figure
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three dimensional
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two dimensional figure
Explanation
Octagon is an example of two dimensional figure.
Octagon has two-dimensional shape with $$8$$ straight sides and $$8$$ angles.
Which geometric solid among the following has the maximum number of vertices?
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Cone
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Cylinder
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Cuboid
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Sphere
Explanation
A cuboid has $$ 8 $$ vertices , which is maximum among the given solids.
Hence from the above given geometric figures, it has the maximum number of vertices.
So, $$Op-C$$
Which solid does not have any vertex?
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Cube
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Pyramid
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Cylinder
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Cone
Explanation
A cylinder doesn't have any vertex.
All parallelograms are quadrilaterals.
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True
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False
Explanation
Yes it is true because the definition of quadrilaterals says that
In Euclidean plane geometry, a
quadrilateral
is a polygon with four edges (or sides) and four vertices or corners.
At which one of the following times is the angle between the hands of a clock exactly one right angle?
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$$3$$:$$30$$
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$$3$$:$$00$$
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$$12$$:$$00$$
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None of these
Explanation
Angle between the hands of clock is exactly right angle at $$3$$:$$00$$
So option $$B$$ is correct.
How many right angles are there in $$540^o$$?
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$$4$$
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$$6$$
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$$8$$
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none of these
Explanation
One right angle $$=90^{\circ}$$
Let there be $$x$$ right angles in $$540^{\circ}$$
$$\Rightarrow { 90 }^{ \circ }x={ 540 }^{ \circ }\\ \Rightarrow x=\dfrac { { 540 }^{ \circ } }{ { 90 }^{ \circ } } =6$$
So option $$B$$ is correct.
State whether the following statement is true or false?
All right angles are equal
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True
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False
Explanation
Measure of any right angle is $$90^o$$.Hence all right angles are congruent,
Which statement is false in the following statements?
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Rectangle is $$2-$$dimension shape
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Pyramid is $$3-$$dimension shape.
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Cone is $$2-$$dimension
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Circle is $$2-$$dimension shape.
Explanation
Cone is $$2-$$dimension. This statement is false. Because cone is $$3-$$dimension.
What is the base of the cone?
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Square
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Triangle
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Circle
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None of these
Explanation
The base of cone is a circle.
How many degrees are there in one right angle?
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$$0^o$$
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$$180^o$$
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$$100^o$$
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None of these
Explanation
Right angle $$=90^{\circ}$$
So there are $$90$$ degrees in one right angle.
Hence option $$D$$ is correct.
A cylinder has two faces which are ............
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Square
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Circle
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Sphere
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Triangle
Explanation
A cylinder has two circular faces.
A circular paper is divided into $$4$$ equal parts by cutting it through two diameters. Then the central angle of each part is equal to:
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$$45^\circ$$
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$$90^\circ$$
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$$60^\circ$$
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$$30^\circ$$
Explanation
Central angle $$=360^{\circ}$$
Now circular piece of paper is divided in four equal parts .
Let measure of central angle $$=x$$
$$\\ \Rightarrow x+x+x+x={ 360 }^{ \circ }\\ \Rightarrow 4x={ 360 }^{ \circ }\\ \Rightarrow x=\dfrac { { 360 }^{ \circ } }{ 4 } \\ \Rightarrow x={ 90 }^{ \circ }$$
So option $$B$$ is correct.
The angle formed by the pages of an open book is:
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Acute
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Obtuse
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Right
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Straight
Explanation
The angle formed by the pages of an open book is obtuse.
Since the angle will always be more than $$90$$ but less than $$180$$.
In a triangle $$ABC$$, $$AB=AC$$, then $$\triangle ABC$$ is a/an ............ triangle.
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right angled
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equilateral
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isosceles
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scalene
Explanation
Given,
In $$\triangle ABC, AB = AC$$
We know, if two sides of a triangle are equal then the triangle is an isosceles triangle.
Thus, $$\triangle ABC$$ is an isosceles triangle.
Hence, option $$C$$ is correct.
Let's divide a circle into $$10$$ equal parts. Then, the measure of each central angle of a circle is :
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$$18^{o}$$
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$$72^{o}$$
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$$36^{o}$$
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$$30^{o}$$
Explanation
Since, circle divides in 10 equal parts, total measure angle at centre $$=360°$$.
So, each central angle after division is $$=\cfrac{360°}{10}=36°$$
The central angle of each part 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
You can clearly see the circle is divided into $$12$$ equal parts.
Total Central angle $$=360^{\circ}$$
Let measure of central angle $$=x$$
$$\\ \Rightarrow 12(x)={ 360 }^{ \circ }\\ \Rightarrow 12x={ 360 }^{ \circ }\\ \Rightarrow x=\dfrac { { 360 }^{ \circ } }{ 12 } \\ \Rightarrow x={ 30 }^{ \circ }$$
So option $$B$$ is correct.
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