NCERT Class 6 Maths Chapter 5 Exercise 5.2

Welcome to Online Tutorial Classes! We are excited to present a valuable resource for CBSE students studying Class 6. In this post, we will delve into the NCERT class 6 Maths chapter 5 exercise 5.2 ‘Understanding Elementary Shapes’ from the CBSE curriculum and provide you with a comprehensive set of questions and answers to help you master this important topic.

NCERT class 6 Mathematics book:

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NCERT class 6 Maths Chapter Exercise 5.2 “Understanding Elementary Shapes” overview:

NCERT Class 6 Mathematics Exercise 5.2 of Chapter 5: Understanding Elementary Shapes covers the following topics:

• Identifying and naming angles: Angles can be identified and named by the three letters that form the angle, with the vertex letter in the middle. For example, the angle formed by the lines AC and AB is named angle BAC.
• Classifying angles: Angles can be classified into different types based on their size:
  • Acute angles: Angles less than 90 degrees
  • Right angles: Angles equal to 90 degrees
  • Obtuse angles: Angles greater than 90 degrees but less than 180 degrees
  • Straight angles: Angles equal to 180 degrees
• Comparing angles: Angles can be compared to each other to determine which angle is larger or smaller. This can be done using a protractor or by visually estimating the size of the angles.

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NCERT class 6 Maths Chapter Exercise 5.2 “Understanding Elementary Shapes” Solutions:

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) The hour hand will turn through a angle of 180 degrees. One clockwise revolution is 360 degrees.

Hence the faction = 180/360 = 1/2

(b) It takes one quadrant or 90 degrees to move from 4 to 7. Hence the fraction is:

Fraction= 90/360 = 1/4

(c) When hour hand goes from 7 to 10 clockwise, it will rotate by 1 right angle or 90⁰

∴ Fraction = 90⁰ / 360⁰

= 1 / 4

(d) When hour hand goes from 12 to 9 clockwise, it will rotate by 3 right angles or 270⁰

∴ Fraction = 270⁰ / 360⁰

= 3 / 4

(e) When hour hand of a clock goes from 1 to 10 clockwise, it will rotate by 3 right angles or 270⁰

∴ Fraction = 270⁰ / 360⁰

= 3 / 4

(f) When hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 270⁰

∴ Fraction = 270⁰ / 360⁰

= 3 / 4

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:

(a) When an hour hand of a clock makes a half revolution it will turn 180 degrees, hence it will stop at 6.

(b) When hour hand of a clock makes 1 / 2 a revolution, it will rotate by 180 degrees, hence it will stop at 8

(c) When hour hand of a clock makes 1/4 of a revolution, it will rotates by 90 degrees, hence it will stop at 8.

(d) When hour hand of a clock makes 3/4 of a revolution, it turns by 270 degrees, hence it will stop 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 1 ½ of a revolution clockwise?

(c) west and make 3 / 4 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) If we start facing towards east and make half of a revolution clockwise, we will be facing west.

(b) If we are facing east and make one and a half revolution clcokwise, we will be facing west.

(c) If we are facing west and make 3/4 revolution anticlockwise, we will be facing North.

(d) Full revolution we will turn 360 degrees and hence will be facing south again.

Yes, clockwise or anticlockwise direction has to be specified, else we will not be able to find right direction. For example,in part (c) if we make 3/4 of rotation clcokwise, we will be facing towards south.

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?

Solutions:

(a) 3/4 th

(b) 3/4th

(c) 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

Solutions:

(a) One

(b) Two

(c) Two

(d) One

(e) Three

(f) Two

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

(b) Three

(c) Four

(d) Two

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?

Solutions:

(a) Nine

(b) Two

(c) Seven

(d) Seven

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NCERT class 6 Mathematics questions and answers

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