MCQ Questions for Class 6 Maths Understanding Elementary Shapes Quiz 9

State whether the following statements are true or false
A rhombus is a regular quadrilateral.

0%
True
0%
False

If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?

0%
One obtuse angle and one acute angle
0%
One right angle and one acute angle
0%
Two acute angles
0%
Two right angles

Explanation

Option [D] is the correct answer.

The sum of two right angles is exactly equal to

${180}^{o}$ , which is a straight angle not an obtuse angle.

If the sum of two angles is an obtuse angle, then which of the following is not possible :

0%
two acute angles
0%
one obtuse angles one acute angle
0%
two acute angles
0%
two right angles

A right-angled triangle may have all sides equal.

0%
True
0%
False

The given shape is a cylinder.

0%
True
0%
False

A cylinder is a 3-D shape having two circular faces of different radii.

0%
True
0%
False

A cuboid has at least 4 diagonals.

0%
True
0%
False

Two acute angles are congruent.

0%
True
0%
False

Explanation

False

Two acute angles may vary from

$0^{\mathring{}}$ to

$89^{\mathring{}}$ . Hence, acute angles having different measures are not congruent.

What of the following is a two dimensional figure ?

0%
Rectangle
0%
Rectangular Prism
0%
Square Pyramid
0%
Square Prism

Explanation

The correct answer is option

$(a).$

Because rectangle has two dimensions. One is length and another one is breath.

All other are three dimensional figures.

The number of dimensions, a solid has:

0%
1
0%
2
0%
3
0%
0

Explanation

$\textbf{Step -1: Finding the number of dimensions of a solid.}$

$\text{A solid has length, breadth and height as dimensions.}$

$\therefore \text{ A solid has 3 dimensions.}$

$\textbf{Hence, a solid has 3 dimensions.}$

State whether the following statements are true (T) or false (F):
If all three sides of a triangle are equal, then it is called a scalene triangle.

0%
True
0%
False

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

0%
Rectangle
0%
Trapezium
0%
Rhombus
0%
Parallelogram

Explanation

We know that the sum of the angles of the quadrilateral is

$360^{o}$

Now, the quadrilateral in given question has all angles equal.

$\therefore$ Each angle

$={ 360 }^{ o }\div 4={ 90 }^{ o }$

So, this quadrilateral would be rectangle or a square.

Which of the following is true?
(i) A triangle can have two right angles.
(ii) A triangle can have all angles less than

$60^o$ .
(iii) A triangle can have two acute angles.

0%
Only (ii)
0%
Only (i)
0%
Only (iii)
0%
All are true

Explanation

(i) If the triangle has two right angles, the sum of angles of the triangle will be more than

$180^{\circ}$ , which is not possible.
(ii) If the triangle has all the angles less than

$60^{\circ}$ , the sum of the triangle will be less than

$180^{\circ}$ , which is not possible.
(iii) Thus, the only possibility is the triangle has two acute angles.

Identify the correct construction of the

division of $\bar{PQ}$

into three parts.

Look at the pairs of shapes Which is a pair of rectangles?

Which of the following statement(s) is/are false with respect to quadrilateral?

0%
Each diagonal of a quadrilateral divides it into two triangles.
0%
Each side of a quadrilateral is less than the sum of the remaining three sides.
0%
A quadrilateral can at-most have three obtuse angles.
0%
A quadrilateral has four diagonals.

Explanation

Option A is true. As each diagonal of a quadrilateral divides it into two triangles.

Option B is also correct as it is not possible to construct a quadrilateral with one side greater than the sum of three other sides.

Option C is also true. A quadrilateral can at most have three obtuse angles. All the four angles cannot be obtuse and sum of 4 angles of a quadrilateral is

$360^\circ$ .

Option D is incorrect. A quadrilateral does not have four diagonals.

A quadrilateral has exactly two diagonals.

So, option (D) is false

Complete the following statement .

Number of measurements required to construct a rectangle are_______.

0%
4
0%
3
0%
2
0%
1

Explanation

If we know the length and breadth of the rectangle, we can construct it since a rectangle has opposite sides equal in length and each of the four angles is equal to

${90}^{0}$
Hence, number of measurements required to construct a rectangle is

$2$ .

Madhavi glued

$4$ white cubes together as shown below. Then she painted the entire figure red. How many faces of the

$4$ cubes were painted red?

0%
$4$
0%
$9$
0%
$18$
0%
$24$

Explanation

The red coloured faces will be

$4$ front and

$4$ back faces,

$2$ side faces,

$4$ top faces and

$4$ botton faces.

$\Rightarrow 4\times 4+2\times 1=16+2=18$

Which of the following is different from the other three?

Explanation

From the given figures we can see that,

$\Rightarrow$ Option

$A$ has five sides, so its a pentagon

$\Rightarrow$ So, Option

$B, C$ and

$D$ are types of quadrilateral.

$\Rightarrow$ Thus we can prove that option A is different from the other three.

A quadrilateral in which only one pair of opposite sides are parallel is called a ..........

0%
square
0%
rectangle
0%
rhombus
0%
trapezium

Explanation

$\Rightarrow$ We know that in square, rectangle and rhombus two pairs of opposite sides are parallel, so answer can not be square, rectangle or rhombus.

$\Rightarrow$ We also know the properties of trapezium in which only one pair of opposite sides are equal.

$\Rightarrow$ So, correct answer is option D trapezium.

When the clock shows time

$5:20$ , the angle formed between the two hands is

0%
obtuse
0%
right
0%
acute
0%
none of these

Explanation

Angles

between

${0}^{o}$ and

${90}^{o}$ are acute angles.

Since at the time

$5:20$ , the hands of the clock form an angle less than

${90}^{o}$ , the angle formed between the two hands is an acute angle.

Which of the following solid has six rectangular faces ?

0%
Cuboid
0%
Pyramid
0%
Cone
0%
Triangular prism

Choose the correct statement from the following.

0%
A triangle has 3 sides and 4 vertices
0%
A solid cylinder has 3 faces
0%
All sides of the rectangle are equal
0%
A cuboid has 4 flat faces and 12 straight edges

Explanation

A. A triangle has

$3$ sides and

$3$ vertices.

B. A cylinder has

$3$ faces - two circular faces at the two ends and the third a curved face.

$\textbf{Statement B is correct.}$

C. Only opposite sides of a rectangle are equal.

D. A cuboid has

$6$ flat faces and

$12$ edges.

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Which two solid shapes have been combined to form this solid shape?

0%
Two pyramids
0%
A pyramid and a triangular prism
0%
A cuboid and a triangular prism
0%
A cuboid and a pyramid

What shape does the base and the faces of the given figure make?

The angles in a right-angled triangle other than the right angle are-

0%
Right
0%
Obtuse
0%
Acute
0%
None of these

Explanation

$\displaystyle \because$ One of the angle is

$\displaystyle 90^{\circ}$ and the sum of other two angles is

$\displaystyle 90^{\circ}$ So they are acute
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Cone has _________ curved edge.

0%
2
0%
3
0%
0
0%
4

Square is not a

0%
rhombus
0%
rectangle
0%
trapezium
0%
parallelogram

Explanation

$\textbf{Step-1: Comparing with trapezium}$

$\text{The definition of a square does not comply with the}$

$\text{definition of a trapezoid. The definition of a trapezoid}$

$\text{is a quadrilateral (a closed plane figure with 4 sides) with exactly one pair of parallel sides.}$

$\textbf{Step-2: Comparing with other option}$

$\text{On the other hand, a square is a very special kind of}$

$\text{quadrilateral; A square is also a parallelogram because}$

$\text{it has two sets of parallel sides and four right angles. A}$

$\text{square is also a parallelogram because opposite sides}$

$\text{are parallel. A square is always a rhombus. A rhombus}$

$\text{is a quadrilateral with four congruent sides. If the rhombus has 4}$

$\text{right angles it may also be called a square. So every square is a rhombus.}$

$\textbf{Hence , Square is not a (C) trapezium}$

Which of the given geometric solids has the maximum number of vertices ?

0%
Cone
0%
Cylinder
0%
Cuboid
0%
Triangular pyramid

Explanation

A cone has

$1$ vertex.

A cylinder has

$0$ vertices

A cuboid has

$8$ vertices.

And a triangular pyramid has

$4$ vertices

So, a cuboid has the maximum number of vertices among the given shapes.

Which of the following figure has six faces ?

CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 9 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Understanding Elementary Shapes Quiz 9 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

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