By practising the NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.2, students can get an idea about the problems related to angles and their various types. These Class 6 Maths NCERT Solutions are designed in a step-wise manner to boost the confidence of students while solving problems.
NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.2
Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.2
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
Solutions:
We know that in one complete clockwise revolution, the hour hand will rotate by 3600
(a) When the hour hand goes from 3 to 9 clockwise, it will rotate by 2 right angles or 1800
∴ Fraction = 1800/3600
= 1/2
(b) When the hour hand goes from 4 to 7 clockwise, it will rotate by 1 right angle or 900
∴ Fraction = 900/3600
= 1/4
(c) When the hour hand goes from 7 to 10 clockwise, it will rotate by 1 right angle or 900
∴ Fraction = 900/3600
= 1/4
(d) When the hour hand goes from 12 to 9 clockwise, it will rotate by 3 right angles or 2700
∴ Fraction = 2700/3600
= 3/4
(e) When the hour hand of a clock goes from 1 to 10 clockwise, it will rotate by 3 right angles or 2700
∴ Fraction = 2700/3600
= 3/4
(f) When the hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 2700
∴ Fraction = 2700/3600
= 3/4
2. Where will the hand of a clock stop if it
(a) starts at 12 and makes 1/2 of a revolution, clockwise?
(b) starts at 2 and makes 1/2 of a revolution, clockwise?
(c) starts at 5 and makes 1/4 of a revolution, clockwise?
(d) starts at 5 and makes 3/4 of a revolution, clockwise?
Solutions:
We know that in one complete clockwise revolution, the hour hand will rotate by 3600
(a) When the hour hand of a clock starts at 12 and makes 1/2 of a revolution clockwise, it will rotate by 1800.
Hence, the hour hand of a clock will stop at 6.
(b) When the hour hand of a clock starts at 2 and makes 1/2 of a revolution clockwise, it will rotate by 1800
Hence, the hour hand of a clock will stop at 8.
(c) When the hour hand of a clock starts at 5 and makes 1/4 of a revolution clockwise, it will rotate by 900
Hence, the hour hand of a clock will stop at 8.
(d) When the hour hand of a clock starts at 5 and makes 3/4 of a revolution clockwise, it will rotate by 2700
Hence, the hour hand of a clock will stop at 2.
3. Which direction will you face if you start facing
(a) east and make 1/2 of a revolution clockwise?
(b) east and make 1½ of a revolution clockwise?
(c) west and make 3/4 of a revolution anti-clockwise?
(d) south and make one full revolution?
(Should we specify clockwise or anti-clockwise for the last question? Why not?)
Solutions:
Revolving one complete round in a clockwise or an anti-clockwise direction, we will revolve by 3600, and two adjacent directions are at 900 or 1/4 of a complete revolution away from each other.
(a) If we start facing towards the east and make 1/2 of a revolution clockwise, we will face towards the west direction.
(b) If we start facing towards the east and make 1½ of a revolution clockwise, we will face towards the west direction.
(c) If we start facing towards the west and make 3/4 of a revolution anti-clockwise, we will face towards the north direction.
(d) If we start facing the south and make one full revolution, again, we will face the south direction.
In the case of revolving 1 complete revolution, either clockwise or anti-clockwise, we will be back at the original position.
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?
Solutions:
By revolving one complete revolution either in a clockwise or anti-clockwise direction, we will revolve by 3600, and two adjacent directions are at 900 or 1/4 of a complete revolution away from each other.
(a) If we start facing towards the east and turn clockwise to face north, we have to make 3/4 of a revolution.
(b) If we start facing towards the south and turn clockwise to face east, we have to make 3/4 of a revolution.
(c) If we start facing towards the west and turn clockwise to face east, we have to make 1/2 of a revolution.
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
Solutions:
The hour hand of a clock revolves by 3600, or it covers 4 right angles in one complete revolution.
(a) If the hour hand of a clock goes from 3 to 6, it revolves by 900 or 1 right angle.
(b) If the hour hand of a clock goes from 2 to 8, it revolves by 1800 or 2 right angles.
(c) If the hour hand of a clock goes from 5 to 11, it revolves by 1800 or 2 right angles.
(d) If the hour hand of a clock goes from 10 to 1, it revolves by 900 or 1 right angle.
(e) If the hour hand of a clock goes from 12 to 9, it revolves by 2700 or 3 right angles.
(f) If the hour hand of a clock goes from 12 to 6, it revolves by 1800 or 2 right angles.
6. How many right angles do you make if you start facing
(a) south and turn clockwise to the west?
(b) north and turn anti-clockwise to the east?
(c) west and turn to the west?
(d) south and turn to the north?
Solutions:
By revolving one complete round in either a clockwise or anti-clockwise direction, we will revolve by 3600, and two adjacent directions are 900 away from each other.
(a) If we start facing towards the south and turn clockwise to the west, we have to make one right angle.
(b) If we start facing towards the north and turn anti-clockwise to east, we have to make 3 right angles.
(c) If we start facing towards the west and turn to the west, we have to make one complete round or 4 right angles.
(d) If we start facing towards the south and turn to the north, we have to make 2 right angles.
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?
Solutions:
We know that in 1 complete revolution in either a clockwise or anticlockwise direction, the hour hand of a clock will rotate by 3600 or 4 right angles.
(a) If the hour hand of a clock starts from 6 and turns through 1 right angle, it will stop at 9.
(b) If the hour hand of a clock starts from 8 and turns through 2 right angles, it will stop at 2.
(c) If the hour hand of a clock starts from 10 and turns through 3 right angles, it will stop at 7.
(d) If the hour hand of a clock starts from 7 and turns through 2 straight angles, it will stop at 7.
Also, explore –
NCERT Solutions for Class 6 Maths Chapter 5
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