Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2

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) 3 to 9

The hour hand going from 3 to 9 turns through \(\frac { 1 }{ 2 } \) of a revolution.

(b) 4 to 7

The hour hand going from 4 to 7 turns through \(\frac { 1 }{ 4 } \) of a revolution.

(c) 7 to 10:

The hour hand going from 7 to 10 turns through \(\frac { 1 }{ 4 } \) 3f a revolution.

(c) 12 to 9:

The hour hand going from 12 to 9 turns through \(\frac { 3 }{ 4 } \) of a revolution.

(d) 1 to 10:

The hour hand going from 1 to 10 turns through \(\frac { 3 }{ 4 } \) of a revolution.

(f) 6 to 3:

The hour hand going from 6 to 3 turns through of a revolution.

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:

The clock hand starting:

(a) from 12 and making \(\frac { 1 }{ 2 } \) of a revolution reaches at 6.

(b) from 2 and making \(\frac { 1 }{ 2 } \) of a revolution reaches at 8.

(c) from 5 and making \(\frac { 1 }{ 4 } \) of a revolution reaches at 8.

(d) from 5 and making \(\frac { 3 }{ 4 } \) of a revolution reaches at 2.

Question 3.

Which direction will you face f you start facing

(i) (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?

(ii) Should we specify clockwise or anti-clockwise

Solution:

(i) From the figure, we can say that the facing will be towards:

(a) West

(b) West

(c) North

(d) South

Question 4.

What part of a revolution have you turned through f 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:

(a) Starting from east and reaching at north (turning clockwise). \(\frac { 3 }{ 4 } \) of a revolution is required.

(b) Starting from south and turning clockwise up to east, \(\frac { 3 }{ 4 } \) of a revolution is required.

(c) Starting from west and turning clockwise up to east \(\frac { 1 }{ 2 } \) of a revolution is required.

Question 5.

Find the number of right angles turned through by the hour hand of a 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:

(a) 3 to 6:

The hour hand going from 3 to 6 turns through 1 right angle.

(b) 2 to 8:

The hour hand going from 2 to 8 turns through 2 right angles.

(c) 5 to 11:

The hour hand going from 5 to 11 turns through 2 right angles.

(d) 10 to 1:

The hour hand going from 10 to 1 turns through 1 right angle.

(e) 12 to 9:

The hour hand going from 12 to 9 turns through 3 right angles.

(f) 12 to 6:

The hour hand going from 12 to 6 turns through 2 right angles.

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:

(a) From the figure, we Observe that turning clockwise from south to west, we make 1 right angle.

(b) From the figure, we find that turning anti-clockwise from north to east, we make 3 right angles.

(c) From the figure, we find that turning [clockwise or anti-clockwise] from west to west, we make 4 right angles.

(d) From the figure, we find that turning [clockwise or anti-clockwise] from south to north, we make 2 right angles.

Question 7.

Where will the hour hand of a 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:

(a) Starting from 6 and turning through 1 right angle, the hour hand will reach at 9.

(b) Starting from 8 and turning through 2 right angles, the hour hand will reach at 2.

(c) Starting from 10 and turning through 3 right angles, the hour hand will reach at 7.

(d) Starting from 7 and turning through 2 straight angles, the hour hand will reach at 7.

Note: 2 straight angles = 4 right angles