Students can download Chapter 5 Understanding Elementary Shapes Ex 5.2 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.
Karnataka State Syllabus 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
Solution:
We may observe that in 1 complete clock Wise revolution the hour hand will rotate by 360’
a) 3 to 9
When the hour hand goes from 3 to 9 clockwise, it will rotate by 2 right angles or 180°
b) 4 to 7
When the hour hand goes from 4 to 7 clockwise, it Will rotates by 1 right angle or 90°
c) 7 to 10
When the hour goes from 7 to 10 clockwise it will rotate by 1 right angle or 90°
d) 12 to 9
When the hour hand goes from 12 to 9 clockwise it rotates by 3 right angles or 270°
e) 1 to 10
When the hour hand goes from 1 to 10 clockwise it rotates by 3 right angles or 170°
f) 6 to 3
When the hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 270°
Question 2.
Where will the hand of a clock stop if it-
In 1 complete clockwise revolution, the hand of a clock will rotate by 360°
Solution:
a) Starts at 12 and makes \(\frac{1}{2}\) of a revolution, clockwise?
If the hand of the clock start 12 and makes \(\frac{1}{2}\) of a revolution, clockwise, it will rotate by 180° and hence, it will stop at 6
b) Starts at 12 and makes \(\frac{1}{2}\) of a revolution, clockwise?
If the hand of the clock starts at 2 and makes \(\frac{1}{2}\) of a revolution clockwise, then it will rotate by 180° and hence, it will stop at 8
c) Starts at 5 and makes \(\frac{1}{4}\) of a revolution, clockwise?
If the hand of the clock starts at 5 and makes of a revolution clockwise then it will rotate by 90° and hence it will stop at 8
d) Starts 5 makes \(\frac{3}{4}\) of a revolution Clock wise?
Solution:
If the hand of the clock starts at 5 and makes of a revolution clockwise then it will rotate by 270° and hence. it will stop at 2.
Question 3.
Which direction will you face if you start facing
a) East and make \(\frac{1}{2}\) of a revolution clockwise ?
If we start facing east and make \(\frac{1}{2}\) of a revolution clockwise then we will face the west direction.
b) East and make \(1 \frac{1}{2}\) of a revolution clockwise?
If we start facing east and make \(1 \frac{1}{2}\) of a revolution clockwise, then we will face the West direction
c) West and makes at \(\frac{3}{4}\) of a revolution anti-clockwise?
If we start facing west and make of a revolution anti-clockwise, then we face the north direction.
d) South and make one full revolution (should we specify clockwise or anti-clockwise for this last question? Why not?
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) makes us reach the original position.
In the case of revolving by 1 complete round the direction in which we are revolving does not matter in both cases clockwise or anti-clockwise, we will be back at our initial position.
Question 4.
What part of a revolution have you turned through if you stand facing
Solution:
If we revolve one complete round in either clockwise or anti-clockwise direction, then we will revolve by 360° and the two adjacent directions will be at 90° or \(\frac{1}{4}\) of a complete revolution away from each other
a) east and turn clockwise to face north?
If we start facing east and then turn clockwise to lace north than we have to make a revolution
b) South and turn clockwise to face east?
If we start facing south and turn clockwise to face east then we have to make \(\frac{3}{4}\) of a revolution
c) West and turn clockwise to face east?
If we start facing west and turn to dock wise to face east, then we have to make \(\frac{1}{2}\) of a revolution.
Question 5.
Find the number of right angles turned through by the hour hand of a clock when it goes from
Solution:
a) 3 to 6
The hour hand of a clock revolves by 360° of 4 right angles in 1 complete round
b) 2 to 8
The hour hand of a clock revolves by 180° or 2 right angles when it goes from 2 to 8
c) 5 to 11
The hour hand of a clock revolved by 180° or 2 right angles When it goes from 5 to 11
d) 10 to 1
The hour hand or a clock revolves by 90° or 1 right angle when it goes from 10 to 1
e) 12 to 9
The hour hand of a clock revolves by 2700 or 3 right angles When it goes from 12 to 9
f) 12 to 6
The hour hand of a clock revolves by 180° or 2 right angles When it goes from 12 to 6.
Question 6.
How many right angles do you make if you start facing
Solution:
If we revolve one complete round in either clockwise direction, then we will revolve by 360° or 4 right angles and the two adjacent directions will be at 90° or I right angle away from each other.
a) South and turn clockwise to the west?
If we start facing south and turn clockwise to west then we make 1 right angle.
clockwise to west then we mu. iv
b) north and turn anti-clockwise to the east?
If we start facing north and turn anti-clockwise to the east then we make 3 right angles.
c) West and turn to the west?
If we start facing west and turn to west then we make 1 complete round or 4 right.
d) South and turn to the north?
If we start facing south and turn to we make right angles.
Question 7.
Where will the hour hand of a clock stop if it starts
Solution:
In 1 complete revolution (Clockwise or anti-clockwise) the hour hand of a clock will rotate by 360° or 4 right angles.
a) from 6 and turns through 1 right angle?
If the hour hand of a clock starts from 6 and turns through 1 right angle, then it will stop at 9
b) From 8 and turn through 2 right angles?
If the hour hand of a clock starts from 8 and is turned through 2 right angles, then it will stop at 2.
c) From 10 and turned through 3 right angles?
If the hour hand of a clock starts from 10 and turns through 3 right angles then it will stop at 7
d) From 7 and turns through 2 straight angles?
If the hour hand of a clock starts from 7 and turns through 2 straight angles, then it will stop at 7.
