MP Board Class 6th Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.2
Question 1.
What fraction of a clock wise 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) \(\frac{1}{2}\) or two right angles
(b) \(\frac{1}{4}\) or one right angle
(c) \(\frac{1}{4}\) or one right angle
(d) \(\frac{3}{4}\) or three right angles
(e) \(\frac{3}{4}\) or three right angles
(f) \(\frac{3}{4}\) or three right angles
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) At 6
(b) At 8
(c) At 8
(d) At 2
Question 3.
Which direction will you facing
(a) east and make \(\frac{1}{2}\) clockwise?
(b) east and make \(1 \frac{1}{2}\) clockwise?
(c) west and make \(\frac{3}{4}\) of a revolution anti-clockwise?
Solution:
(a) West
(b) West
(c) North
(d) South
No, it is not necessary to specify because whether we turn clock wise or anti-clockwise, one full revolution will bring use back to the original position.
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:
(a) \(\frac{3}{4}\)
(b) \(\frac{3}{4}\)
(c) \(\frac{1}{2}\)
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) One right angle
(b) Two right angles
(c) Two right angles
(d) One right angle
(e) Three right angles
(f) Two 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) One right angle
(b) Three right angles
(c) Four right angles
(d) Two 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) At 9
(b) At 2
(c) At 7
(d) At 7