NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2 are the part of NCERT Solutions for Class 6 Maths (Rationalised Contents). Here you can find the NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2.

Ex 5.2 Class 6 Maths 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:
(a) 3 to 9
9 – 3 = 6 and fraction of revolution = 6 ÷ 12 = ½ of a revolution

(b) 4 to 7
7 – 4 = 3 and fraction of revolution = 3 ÷ 12 = ¼ of a revolution

(c) 7 to 10
10 – 7 = 3 and fraction of revolution = 3 ÷ 12 = ¼ of a revolution

(d) 12 to 9, i.e., 0 to 9
9 – 0 = 9 and fraction of revolution = 9 ÷ 12 = ¾ of a revolution

(e) 1 to 10
10 – 1 = 9 and fraction of revolution = 9 ÷ 12 = ¾ of a revolution

(f) 6 to 3, i.e., 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 and fraction of revolution = 9 ÷ 12 = ¾ of a revolution

Ex 5.2 Class 6 Maths Question 2.

Where will the hand of a clock stop if it
(a) starts at 12 and makes ½ of a revolution, clockwise?
(b) starts at 2 and makes ½ of a revolution, clockwise?
(c) starts at 5 and makes ¼ of a revolution, clockwise?
(d) starts at 5 and makes ¾ of a revolution, clockwise?

Solution:
(a) When the hand of a clock starts from 12 and makes ½ of a revolution, clockwise, it stops at 6.

(b) When the hand of a clock starts from 2 and makes ½ of a revolution, clockwise, it stops at 8.

(c) When the hand of a clock starts from 5 and makes ¼ of a revolution, clockwise, it stops at 8.

(d) When the hand of a clock starts from 5 and makes ¾ of a revolution, clockwise, it stops at 2.

Ex 5.2 Class 6 Maths Question 3.

Which direction will you face if you start facing
(a) east and make ½ of a revolution clockwise?
(b) east and make 11/2 of a revolution clockwise?
(c) west and make ¾ of a 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) West        (b) West        (c) North           (d) South

By taking one full revolution, we reach back to our original (starting) position. Therefore, it makes no difference whether we turn clockwise or anti-clockwise.

Ex 5.2 Class 6 Maths 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) If we start from east and turn clockwise to face north, ¾ of a revolution is made.

(b) If we start from south and turn clockwise to face east, ¾ of a revolution is made.

(c) If we start from west and turn clockwise to face east, ½ of a revolution is made.

Ex 5.2 Class 6 Maths 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) 3 to 6

Moving from 3 to 6, the hour hand turns through 1 right angle.

(b) 2 to 8

Moving from 2 to 8, the hour hand turns through 2 right angles.

(c) 5 to 11

Moving from 5 to 11, the hour hand turns through 2 right angles.

(d) 10 to 1

Moving from 10 to 1, the hour hand turns through 1 right angle.

(e) 12 to 9

Moving from 12 to 9, the hour hand turns through 3 right angles.

(f) 12 to 6

Moving from 12 to 6, the hour hand turns through 2 right angles.

Ex 5.2 Class 6 Maths 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:

Ex 5.2 Class 6 Maths 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) When the hour hand of a clock starts from 6 and turns through 1 right angle, it stops at 9.

(b) When the hour hand of a clock starts from 8 and turns through 2 right angles, it stops at 2.

(c) When the hour hand of a clock starts from 10 and turns through 3 right angles, it stops at 7.

(d) When the hour hand of a clock starts from 7 and turns through 2 straight angles, it stops at 7.

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