NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2.

- Understanding Elementary Shapes Class 6 Ex 5.1
- Understanding Elementary Shapes Class 6 Ex 5.3
- Understanding Elementary Shapes Class 6 Ex 5.4
- Understanding Elementary Shapes Class 6 Ex 5.5
- Understanding Elementary Shapes Class 6 Ex 5.6
- Understanding Elementary Shapes Class 6 Ex 5.7
- Understanding Elementary Shapes Class 6 Ex 5.8
- Understanding Elementary Shapes Class 6 Ex 5.9

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 6 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Understanding Elementary Shapes |

Exercise |
Ex 5.2 |

Number of Questions Solved |
7 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2

Ex 5.2 Class 6 Maths Question 1.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from

**(a)** 3 to 9

**(b)** 4 to 7

**(c)** 7 to 10

**(d)** 12 to 9

**(e)** 1 to 10

**(f)** 6 to 3

Solution:

**(a)** \(\frac { 1 }{ 2 } \) of a revolution

**(b)** \(\frac { 1 }{ 4 } \) of a revolution

**(c)** \(\frac { 1 }{ 4 } \) of a revolution

**(d)** \(\frac { 3 }{ 4 } \) of a revolution

**(e)** \(\frac { 3 }{ 4 } \) of a revolution

**(f)** \(\frac { 3 }{ 4 } \) of a revolution

Ex 5.2 Class 6 Maths Question 2.

Where will the hand of a clock stop if it

**(a)** starts at 12 and makes \(\frac { 1 }{ 2 } \) of a revolution, clockwise?

**(b)** starts at 2 and makes \(\frac { 1 }{ 2 } \) of a revolution clockwise?

**(c)** starts at 5 and makes \(\frac { 1 }{ 4 } \) of a revolution, clockwise?

**(d)** starts at 5 and makes \(\frac { 3 }{ 4 } \) of a revolution, clockwise?

Solution:

**(a)** If the hand of clock starts at 12 and makes \(\frac { 1 }{ 2 } \) of a revolution clockwise it reaches at 6.

**(b)** If the hand of clock starts at 2 and makes \(\frac { 1 }{ 2 } \) of a revolution clockwise it reaches at 8.

**(c)** If the hand of clock starts at 5 and makes \(\frac { 1 }{ 4 } \) of a revolution clockwise it reaches at 8.

**(d)** If the hand of clock starts at 5 and makes \(\frac { 3 }{ 4 } \) of a revolution clockwise it reaches at 2.

Ex 5.2 Class 6 Maths Question 3.

Which direction will you face if you start facing

**(a)** east and make \(\frac { 1 }{ 2 } \) of a revolution clockwise?

**(b)** east and make 1\(\frac { 1 }{ 2 } \) of a revolution clockwise?

**(c)** west and make \(\frac { 3 }{ 4 } \) of a revolution anti-clockwise?

**(d)** south and make one full revolution?

(Should we specify clockwise or anit-clockwise for this last question? Why nor?)

Solution:

**(a)** Facing east and on making \(\frac { 1 }{ 2 } \) of a revolution clockwise, we will face west.

**(b)** Facing east and on making 1\(\frac { 1 }{ 2 } \) of a revolution clockwise, we will face west.

**
(c)** Facing west and on making \(\frac { 3 }{ 4 } \) of a revolution anti-clockwise, we will face north.

**Facing south and on making 1 full revolution we will face south again.**

(d)

(d)

There is no need to specify clockwise or anti-clockwise in the last question as turning by one full revolution (i.e., two straight angles) make us to reach the original position.

Ex 5.2 Class 6 Maths Question 4.

What part of a revolution have you turned through if you stand facing

**(a)** east and turn clockwise to face north?

**(b)** south and turn clockwise to face east?

**(c)** west and turn clockwise to face east?

Solution:

Figures drawn will dearly show the amount of revolution:

**(a)** \(\frac { 3 }{ 4 } \) of a revolution

**
(b)** \(\frac { 3 }{ 4 } \) of a revolution

**(c)** \(\frac { 1 }{ 2 } \) of a revolution

Ex 5.2 Class 6 Maths Question 5.

Find the number of right angles turned through by the hour hand of clock when it goes from

**(a)** 3 to 6

**(b)** 2 to 8

**(c)** 5 to 11

**(d)** 10 to 1

**(e)** 12 to 9

**(f)** 12 to 6

Solution:

Since turning by two straight angles (or four right angles) in the same direction makes a full turn. Thus for the movement of clock hand from 12 – 1,1 – 2, 2 – 3, … 11 – 12 i.e., 12 in number gives 4 right angles turn. Therefore,

**(a)** From 3 to 6 : 3 – 4, 4 – 5 and 5 – 6 i.e., 3 in number.

∴ Number of right angles turned through by the hour hand of a clock when it goes from 3 to 6

= \(\left( \frac { 4 }{ 12 } \times 3 \right) \) right angles = 1 right angles

**(b)** From 2 to 8 :2 – 3,3 – 4, 4 – 5, 5 – 6,6 – 7 and 7 – 8 i.e., 6 in number.

∴ Number of right angles turned through by the hour hand of a clock

when it goes from 2 to 8

= \(\left( \frac { 4 }{ 12 } \times 6 \right) \) right angles = 2 right angles

**(c)** From 5 to II : 5 – 6, 6 – 7, 7 – 8, 8 – 9, 9 – 10 and 10 – 11 i.e., 6 in number.

∴ Number of right angles turned through by the hour hand of a clock when it goes from 5 to 11

= \(\left( \frac { 4 }{ 12 } \times 6 \right) \) right angles = 2 right angles

**(d)** From 10 to 1 :10 – 11,11 -12 and 12 – 1 i.e., 3 in number.

∴ Number of right angles turned through by the hour hand of a clock when it goes from 10 to 1

= \(\left( \frac { 4 }{ 12 } \times 3 \right) \) right angles = 1 right angles

**(e)** From 12 to 9 : 12 – 1, 1 – 2, 2 – 3, 3 – 4, 4 – 5, 5 – 6, 6 – 7, 7 – 8 and 8 – 9 i.e., 9 in number

∴ Number of right angles turned through by the hour hand of a clock when it goes from 12 to 9

= \(\left( \frac { 4 }{ 12 } \times 9 \right) \) right angles = 1 right angles

**(f)** From 12 to- 6 : 12 – 1, 1 – 2, 2 – 3, 3 – 4, 4 – 5 and 5 – 6 i.e., 6 in number.

∴ Number of right angles turned through by the hour hand of a clock when it goes from 12 to 6

= \(\left( \frac { 4 }{ 12 } \times 6 \right) \) right angles = 2 right angles

Ex 5.2 Class 6 Maths Question 6.

How many right angles do you make if you start facing

**(a)** south and turn clockwise to west?

**(b)** north and turn anti-clockwise to east?

**(c)** west and turn to west?

**(d)** south and turn to north?

Solution:

Figures drawn will clearly indicate the number of right angles we make if we start facing:

**(a)** south and turn clockwise to west is 1 right angle.

**
(b)** north and turn anti-clockwise to east are 3 right angles.

**(c)** west and turn to west are 4 right angles.

**
(d)** south and turn to north are 2 right angles.

Ex 5.2 Class 6 Maths Question 7.

Where will the hour hand qfa clock stop if it starts

**(a)** from 6 and turns through 1 right angle?

**(b)** from 8 and turns through 2 right angles?

**(c)** from 10 and turns through 3 right angles?

**(d)** from 7 and turns through 2 straight angles?

Solution:

We know that in 12 hours hour hand turns through 4 right angles i.e., in a turn of 1 right angle, the hour hand moves 3 hours.

**(a)** If the hour hand of a clock starts from 6 and turns through 1 right angle then its hour hand stops at (6 +3) i.e., 9.

**(b)** If the hour hand of a clock starts from 8 and turns through 2 right

angles then its hour hand stops at (8 + 2 x 3) = 14 i.e., 2. .

**(c)** If the hour hand of a clock starts from 10 and turns through 3 right angles then its hour hand stops at (10+3×3) = 19 i.e., 7.

**(d)** If the hour hand of a clock starts from 7 and turns through 2 straight angles i.e., 4 right angles then its hour hand stops at (7 + 4 x 3) = 19 i.e., 7.

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