**Understanding Elementary Shapes Class 6 Ex. 5.2**

**New NCERT Class 6 Math Free Solution.**

**Understanding Elementary Shapes Ex. 5.1**

**Understanding Elementary Shapes Ex. 5.3**

**Understanding Elementary Shapes Ex. 5.4**

**Understanding Elementary Shapes Ex. 5.5**

**Understanding Elementary Shapes Ex. 5.6**

**Understanding Elementary Shapes Ex. 5.7**

**Understanding Elementary Shapes Ex. 5.8**

**Exercise 5.2**

**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**

**(b) 4 to 7**

**(c) 7 to 10**

**(d) 12 to 9**

**(e) 1 to 10**

**(f) 6 to 3**

**Solution 1:-**

(a) 3 to 9

9 – 3 = 6

6/12 = 1/2 of a revolution or two right angles.

(b) 4 to 7

7 – 4 = 3

3/12 = 1/4 of a revolution or one right angle.

(c) 7 to 10

10 – 7 = 3

3/12 = 1/4 of a revolution or one right angle.

(d) 12 to 9 i.e., 12 to 6 and then 6 to 9

12 to 6; 12 – 6 = 6 and 6 to 9; 9 – 6 = 3

6 + 3 = 9;

9/12 = 3/4 of a revolution or three right angle.

(e) 1 to 10

10 – 1 = 9

9/12 = 3/4 of a revolution or three right angle.

(f) 6 to 3 or 6 to 12 and then 12 to 3

6 to 12 = 12 – 6 = 6 and 12 to 3 = 0 to 3 = 3 – 0 = 3

6 + 3 = 9;

9/12 = 3/4 of a revolution or three right angle.

**Question 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?**

**Solution 2:- **

(a) Starting from 12 and making 1/2 of a revolution, the clock hand stops at 6.

(b)The clock hand starts at 2 and completes 1/2 of a revolution before stopping at 8.

(c) Starting from 5 and making 1/4 of a revolution, the clock hand stops at 8.

(d) Starting from 5 and making 3/4 of a revolution, the clock hand stops at 2.

**Question 3 :- Which direction will you face if you start facing**

**(a) east and make 1/2 of a revolution clockwise? **

**(b ) east and make 3/2 of a revolution clockwise?**

**(c) west and make 3/4 of a revolution anticlockwise?**

**(d) south and make one full revolution? **

**(Should we specify clockwise or anti-clockwise for this last question? Why not?)**

**Solution 3:- **(a) West (b) West (c) North (d) South.

Taking one full revolution we will reach back to the original (starting) position.

Therefore, it is irrelevant whether we go in a clockwise or counterclockwise direction.

**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 4:-**

(a) It takes 3/4 of a revolution to travel from east to north in a clockwise direction.

(b) It takes 3/4 of a revolution to face east if we turn clockwise from the south pole.

(c) It takes half a rotation to face east if we turn clockwise from west to east.

**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 5:-**

(a) 3 to 6

The hour hand rotates through 1 right angle from 3 to 6.

(b) 2 to 8

The hour hand rotates through 2 right angle from 2 to 8.

(c) 5 to 11

The hour hand rotates through 2 right angle from 5 to 11.

(d) 10 to 1

The hour hand rotates through 1 right angle from 10 to 1.

(e) 12 to 9

The hour hand rotates through 3 right angle from 12 to 9.

(f) 12 to 6

The hour hand rotates through 2 right angle from 12 to 6.

**Question 6 :- How many right angles do you make if you start facing**

**(a) south and turn clockwise to west?**

**(b) north and turn anticlockwise to east?**

**(c) west and turn to west?**

**(d) south and turn to north?**

**Solution 6:-**

(a) One (b) Three (c) Four (d) Two (clockwise or anti-clockwise).

**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 7:- (we should consider only clockwise direction here.)**

(a)The hour hand begins at 6 and stops at 9 after making 1 right angle turn.

(b) The hour hand begins at 8 and stops at 2 after making 2 right angle turn.

(c) The hour hand begins at 10 and stops at 7 after making 3 right angle turn.

(d) The hour hand begins at 7 and stops at 7 after making 2 straight angles turn.

**Free Understanding Elementary Shapes Class 6 Exercise. 5.2 for Free (2023-24).**

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