Haryana State Board HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.2 Textbook Exercise Questions and Answers.
Haryana Board 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.2
Question 1.
What fraction of a revolution clockwise 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 :
\(\frac{1}{2}\) of a revolution.
(b) 4 to 7 :
\(\frac{1}{4}\) of a revolution.
(c) 7 to 10 :
\(\frac{1}{4}\) of a revolution.
(d) 12 to 9 :
\(\frac{3}{4}\) of a revolution.
(e) 1 to 10 :
\(\frac{3}{4}\) of a revolution.
(f) 6 to 3 :
\(\frac{3}{4}\) of a revolution.
Question 2.
Where will the hand of a clock stop if it
(a) Starts at 12 and makes 1/2 of 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 ?
(id) Starts at 5 and makes 3/4 of a revolution, clockwise ?
Sol. (a) The hand of the clock will stop at 6 in this case. [See Fig. (a)]
(b) The hand of the clock will stop at 8 in this case. [See Fig. (b)]
(c) The hand of the clock will stop at 8 in this case. [See Fig. (c)]
(d) The hand of the clock will stop at 2 in this case. [See Fig. (d)]
Question 3.
Which direction will you face if you start facing
(a) east and make \(\frac{1}{2}\) of a revolution clockwise ?
(b) east and make 1\(\frac{1}{2}\) revolution clockwise ?
(c) west and make \(\frac{3}{4}\) revolution anti-clockwise ?
(d) south and make one full revolution?
(Should we specify clockwise or anti-clockwise for this last question ? Why not ?)
Solution:
(a) In this case, you will face west direction. [See Fig. (a)]
(b) In this case,, also you will face west direction. [See Fig. (h)]
(c) In this case, you will face north direction. [See Fig. (c)]
(d) In this case, you will face south direction. [See Fig. (d)]
(Not necessary, since it is always a complete angle.)
Question 4.
What part of 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) In this case, you have turned 3/4 of a revolution. [See Fig. (a)]
(b) In this case, you have turned 3/4 of a revolution. [See Fig. (b)]
(c) In this case, you have turned 1/2 of a revolution. [See Fig. (c)]
Question 5.
Find the number of right angles 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 : In this case, the hour hand turns through 1 right angle. [See Fig.(a)]
(b) 2 to 8 : In this case, the hour hand turns 2 right angles. [See Fig. (h)]
(c) 5 to 11 : In this case the hour hand turns through 2 right angles. [See Fig.(c)]
(d) 10 to 1 : In this case the hour hand turns through 1 right angle.[See Fig.(d)]
(e) 12 to 9 : In this case the hour hand turns through 3 right angles.[See Fig.(e)]
(f) 12 to 6 : In this case the hour hand turns through 2 right angles.[See Fig. (f)]
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) 1 right angle in this case. [See Fig. (a)]
(b) 3 right angles in this case. [See Fig. (b)]
(c)
4 right angles in both cases, clockwise as well as anti-clockwise direction. [See Fig. 5.20(c)]
(d)
2 right angles in both the cases, clockwise as well as anti-clockwise. [See Fig.(d)]
Question 7.
Where will the hour hand of a clock stop if it starts
(а) 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) In this case, the hour-hand will stop at 9. [See Fig. (a)]
(b) In this case, the hour hand will stop at 2. [See Fig. (5)]
(c) In this case, the hour hand will stop at 7. [See Fig. (c)]
(d) In this case, the hour hand will stop at 7. [See Fig. (d)]
