MCQ Questions for Class 5 Maths Shapes And Angles Quiz 2

Measure of an obtuse angle is:

0%
$> 0^{\circ}, < 90^{\circ}$
0%
$> 90^{\circ}, < 180^{\circ}$
0%
$> 0^{\circ}, < 270^{\circ}$
0%
$> 0^{\circ}, < 180^{\circ}$

Explanation

Measure of an obtuse angle is always greater than

$0^o$ and less than

$180^o$ .

Therefore, it can be written as

Obtuse angle is

$>$

$90^{\circ}$ &

$<$

$180^{\circ}$

$\displaystyle 170^{0}$ is an example of-

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

Which of the following is not an obtuse angle ?

0%
$\displaystyle { 127 }^{ o }$
0%
$\displaystyle { 149 }^{ o }$
0%
$\displaystyle { 175 }^{ o }$
0%
$\displaystyle { 182 }^{ o }$

Explanation

Acute angle is the angle which is greater than

$\displaystyle { 0 }^{ \circ }$ and less than

$\displaystyle { 90 }^{ \circ}$ .

Obtuse angle is the angle which is greater than

$\displaystyle { 90}^{ \circ }$ and less than

$\displaystyle {180 }^{ \circ }$ .

Right angle is the angle which is equal to

$90^{\circ}$ .

Reflex angle is the angle which is greater than

$\displaystyle {180}^{ \circ }$ and less than

$\displaystyle {360 }^{ \circ }$ .

$\therefore \displaystyle { 182 }^{ \circ }$ is a reflex angle, so it is not an obtuse angle.

Range of an obtuse angle is:

0%
$[0˚, 90˚)$
0%
$(0˚, 90˚]$
0%
$[90˚, 180˚)$
0%
$(90˚, 180˚)$

Explanation

Acute angle is the angle which is greater than

$\displaystyle { 0 }^{ o }$ and less than

$\displaystyle { 90 }^{ o }$ .

Obtuse angle is the angle which is greater than

$\displaystyle { 90}^{ o }$ and less than

$\displaystyle {180 }^{ o }$ .

Right angle is the angle which is equal to

$90^o$ .

Reflex angle is the angle which is greater than

$\displaystyle {180}^{ o }$ and less than

$\displaystyle {360 }^{ o }$ .

If one angle at a point is reflex angle, the other at that point may be :

0%
Acute angle
0%
Obtuse angle
0%
Straight angle
0%
Acute or obtuse angle

Explanation

We know, the angle formed at a point is

$\displaystyle { 360 }^{ o }$ .

When one of angle is reflex, it range from

$\displaystyle { 180 }^{ o }$ to

$\displaystyle { 360 }^{ o }$ .

If angle is

$\displaystyle { 200 }^{ o }$ then the other angle is

$\displaystyle { 160 }^{ o }$ , i.e obtuse angle.

If one reflex angle is

$\displaystyle { 300 }^{ o }$ then other angle is

$\displaystyle { 60 }^{ o }$ i.e acute angle.

Hence, the option

$D$ is correct.

What is the range of reflex angle?

0%
Greater than zero but less than $\displaystyle { 90 }^{ o }$
0%
Greater than $\displaystyle { 90 }^{ o }$ but less than $\displaystyle { 180 }^{ o }$
0%
Greater than $\displaystyle { 180 }^{ o }$ but less than $\displaystyle { 360 }^{ o }$
0%
Equal to $\displaystyle { 360 }^{ o }$

Explanation

Acute angle is the angle which is greater than

$\displaystyle { 0 }^{ o }$ and less than

$\displaystyle { 90 }^{ o }$ .

Obtuse angle is the angle which is greater than

$\displaystyle { 90}^{ o }$ and less than

$\displaystyle {180 }^{ o }$ .

Right angle is the angle which is equal to

$90^o$ .

Now, by definition, reflex angle is the angle which is greater than

$\displaystyle {180}^{ o }$ and less than

$\displaystyle {360 }^{ o }$ .

That is, angles larger than a straight angle but less than

$1$ turn (between

$180^o$ and

$360^o$ ) are called reflex angles.

Therefore, the range of reflex angle is greater than

$180^o$ but less than

$360^o$ .

Hence, option

$C$ is correct.

Which of the following is a reflex angle?

0%
$\displaystyle { 180 }^{ o }$
0%
$\displaystyle { 360 }^{ o }$
0%
$\displaystyle { 204 }^{ o }$
0%
$\displaystyle { 135 }^{ o }$

Explanation

We know, reflex angle must be between

$\displaystyle { 180 }^{ o }$ and

$\displaystyle { 360 }^{ o }$ . It can't be equal to

$\displaystyle { 180 }^{ o }$ or

$\displaystyle { 360 }^{ o }$ as these are straight and complete angle, respectively.

Here, only

$204^o$ is greater than

$180^o$ and less than

$360^o$ .

Therefore, option

$C$ is correct.

State whether the following statement is true or false?
All right angles are equal

0%
True
0%
False

Explanation

Measure of any right angle is

$90^o$ .Hence all right angles are congruent,

Reflex angle is greater than _____ but less than _____angle.

0%
Complete, acute
0%
Acute, Straight
0%
Obtuse, Straight
0%
Straight, Complete

Explanation

Reflex angle is the angle which is greater than

$\displaystyle {180}^{ o }$ and less than

$\displaystyle {360 }^{ o }$ .

Straight angle is

$\displaystyle { 180 }^{ o }$ and complete angle is

$\displaystyle { 360 }^{ o }$ .

So reflex angle is greater than straight angle and less than complete angle.

Sum of two obtuse angle results in:

0%
Acute angle
0%
Right angle
0%
Obtuse angle
0%
Reflex angle

Explanation

Obtuse angle ranges from

$\displaystyle { 90 }^{ o }$ to

$\displaystyle { 180 }^{ o }$
So, sum of least obtuse angle is

$\displaystyle { 91 }^{ o }+{ 91 }^{ o }={ 182 }^{ o }$ , which is a reflex angle.
Now, sum of maximum obtuse angle is

$\displaystyle { 179 }^{ o }+{ 179 }^{ o }={ 358 }^{ o }$ , which is also a reflex angle.

Acute angle is the angle which is greater than

$\displaystyle { 0 }^{ o }$ and less than

$\displaystyle { 90 }^{ o }$ .

Obtuse angle is the angle which is greater than

$\displaystyle { 90}^{ o }$ and less than

$\displaystyle {180 }^{ o }$ .

Right angle is the angle which is equal to

$90^o$ .

Reflex angle is the angle which is greater than

$\displaystyle {180}^{ o }$ and less than

$\displaystyle {360 }^{ o }$ .

Which of the following is a straight angle?

0%
Angle that is less that $90^{\circ}$
0%
Angle that is exactly $90^{\circ}$
0%
Angle that is greater than $90^{\circ}$
0%
None of these

Explanation

Straight angle is the angle which is exactly

$180^{\circ}$

Hence option

$D$ is the correct answer.

Let's divide a circle into

$10$ equal parts. Then, the measure of each central angle of a circle is :

0%
$18^{o}$
0%
$72^{o}$
0%
$36^{o}$
0%
$30^{o}$

Explanation

Since, circle divides in 10 equal parts, total measure angle at centre

$=360°$ .

So, each central angle after division is

$=\cfrac{360°}{10}=36°$

1013228_673537_ans_3c86bd97a77448fcbab06aaed601b8c6.png

At which one of the following times is the angle between the hands of a clock exactly one right angle?

0%
$3$ : $30$
0%
$3$ : $00$
0%
$12$ : $00$
0%
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

$540^o$ ?

0%
$4$
0%
$6$
0%
$8$
0%
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.

The central angle of each part is:

0%
$60^\circ$
0%
$30^\circ$
0%
$45^\circ$
0%
$90^\circ$

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.

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:

0%
$45^\circ$
0%
$90^\circ$
0%
$60^\circ$
0%
$30^\circ$

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 central angle of a part of a circle which is divided into

$6$ equal parts is:

0%
$60^\circ$
0%
$30^\circ$
0%
$45^\circ$
0%
$90^\circ$

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.

How many degrees are there in one right angle?

0%
$0^o$
0%
$180^o$
0%
$100^o$
0%
None of these

Explanation

Right angle

$=90^{\circ}$

So there are

$90$ degrees in one right angle.

Hence option

$D$ 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?

0%
$20^o$
0%
$70^o$
0%
$80^o$
0%
$60^o$

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?

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

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?

0%
Obtuse
0%
Acute
0%
Right
0%
Straight

Explanation

Measure of angle

$Q$ is more thaan

$90^o$ but less than

$180^o$ .

Hence the

$\angle Q$ is an obtuse angle.

The clock shows the time in the morning. Then, angle represents _________ angle.

0%
Acute
0%
Obtuse
0%
Reflex
0%
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 ___________.

0%
Acute
0%
Obtuse
0%
Right
0%
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?

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?

0%
$20^o$
0%
$45^o$
0%
$110^o$
0%
$135^o$

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.

Say True or False.
The measure of an obtuse angle

$< 90^{\circ}$ .

0%
True
0%
False

Explanation

False

The measure of an obtuse angle is greater than

$90^o$ but less than

$180^o$ .

State True or False:
The measure of a reflex angle is

$> 180^{\circ}$ .

0%
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 less than that of a right angle is ______.

0%
Acute
0%
Obtuse
0%
Right
0%
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 ______.

0%
Acute
0%
Obtuse
0%
Right
0%
Straight

Explanation

$Obtuse \ angle$ has measure more than that of

$right \ angle \ but \ less \ than \ 180\ degree$

Hence correct answer is

$B) \ Obtuse$

An angle whose measure is the sum of the measures of two right angles is _______.

0%
Acute
0%
Obtuse
0%
Right
0%
Straight

Explanation

Step 1: Straight angle

We know that the measure of a right angle is

$90^ \circ$ and the measure 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

$\text{Straight}.$

CBSE Questions for Class 5 Maths Shapes And Angles Quiz 2 - MCQExams.com

0:0:2

Practice Class 5 Maths Quiz Questions and Answers

CBSE Questions for Class 5 Maths Shapes And Angles Quiz 2 - MCQExams.com

0:0:2

Practice Class 5 Maths Quiz Questions and Answers

Support mcqexams.com by disabling your adblocker.