Well-designed AP 6th Class Maths Textbook Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.2 offers step-by-step explanations to help students understand problem-solving strategies.
Understanding Elementary Shapes Class 6 Exercise 5.2 Solutions – 6th Class Maths 5.2 Exercise Solutions
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
Solution:
3 to 9
9 – 3 = 6
\(\frac { 6 }{ 12 }\) = \(\frac { 1 }{ 2 }\) of a revolution
b) 4 to 7
Solution:
4 to 7
7 – 4 = 3
\(\frac { 3 }{ 12 }\) = \(\frac { 1 }{ 4 }\) of a revolution
c) 7 to 10
Solution:
7 to 10
10 – 7 = 3
\(\frac { 3 }{ 12 }\) = \(\frac { 1 }{ 4 }\) of a revolution
d) 12 to 9
Solution:
12 to 9
From 12 to 9 means (12 to 1, 1 to 2, 2 to 3 , 3 to 4,4 to 5,5 to 6,6 to 7,7 to 8,8 to 9 . i.e., 9 parts)
\(\frac { 9 }{ 12 }\) = \(\frac { 3 }{ 4 }\) of a revolution
e) 1 to 10
Solution:
1 to 10
10 – 1 = 9
\(\frac { 9 }{ 12 }\) = \(\frac { 3 }{ 4 }\) of a revolution
f) 6 to 3
Solution:
6 to 3
From 6 to 3 means
(6) to 7, 7 to 8,8 to 9, 9 to 10,10 to 11,11 to 12,12 to 1,1 to 2 , 2 to 3. i.e., 9 parts)
\(\frac { 9 }{ 12 }\) = \(\frac { 3 }{ 4 }\) 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?
Solution:
Starting from 12 and making \(\frac { 1 }{ 2 }\) of a revolution, the hand of clock stops at 6
b) starts at 2 and makes \(\frac { 1 }{ 2 }\) of a revolution, clockwise?
Solution:
Starting from 2 and making \(\frac { 1 }{ 2 }\) of a revolution, the hand of clock stops at 8.
c) starts at 5 and makes \(\frac { 1 }{ 4 }\) of a revolution, clockwise?
Solution:
Starting from 5 and making \(\frac { 1 }{ 4 }\) of a revolution, the hand of clock stops at 8.
d) starts at 5 and makes \(\frac { 3 }{ 4 }\) of a revolution, clockwise?
Solution:
Starting from 5 and making \(\frac { 3 }{ 4 }\) of a revolution, the hand of clock stops at 2.
Question 3.
Which direction will you face if you start facing
a) ast 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 anticlockwise for this last question? Why not?)
Solution:
Taking one full revolution we will reach back to the starting position.
Therefore it make no difference whether we turn clockwise or anticlockwise.
Question 4.
What part of a revolution have you turned through if you stand facing
a) east and turn clockwise to face north?
Solution:
If we start from east and reach at north (turning clockwise) \(\frac { 3 }{ 4 }\) of a revolution is required.
b) south and turn clockwise to face east?
Solution:
If we start from south turning clockwise to face east, \(\frac { 3 }{ 4 }\) of a revolution is required.
c) west and turn clockwise to face east?
Solution:
If we start from west turning clockwise to face 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
Solution:
3 to 6
Starting from 3 to 6, the hour hand turns through 1 right angle.
b) 2 to 8
Solution:
2 to 8
Starting from 2 to 8, the hour hand turns through 2 right angles.
c) 5 to 11
Solution:
5 to 11
Starting from 5 to 11, the hour hand turns through 2 right angles.
d) 10 to 1
Solution:
10 to 1
Starting from 10 to 1, the hour hand turns through 1 right angle.
e) 12 to 9
Solution:
12 to 9
Starting from 12 to 9, the hour hand turns through 3 right angles.
f) 12 to 6
Solution:
12 to 6
Starting from 12 to 6, the hour hand 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 ?
Solution:
If we start from south turning clockwise to face west, one right angle is required.
b) north and turn anti-clockwise to east?
Solution:
If we start from north turning anti-clockwise to face east, 3 right angles are required.
c) west and turn to west?
Solution:
If we start from west turning to face west, 4 right angles are required.
d) south and turn to north?
Solution:
i) If we start from south turning clockwise to face north, 2 right angles required.
ii) If we start from south turning anticlockwise to face north, 2 right angles required.
Question 7.
Where will the hour hand of a clock stop if it starts
a) from 6 and turns through 1 right angle ?
Solution:
b) from 8 and turns through 2 right angles ?
Solution:
c) from 10 and turns through 3 right angles ?
Solution:
d) from 7 and turns through 2 stralight angles ?
Solution: