ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 11 Understanding Symmetrical Shapes Ex 11.2
Question 1.
What fraction of a clockwise revolution does the hour hand of a clock turn through when it goes from:
(i) 4 to 10
(ii) 2 to 5
(iii) 7 to 10
(iv) 8 to 5
(v) 11 to 5
(vi) 6 to 3
Also find the number of right angles turned in each case.
Solution:
Question 2.
Where will the hand of a clock stop if it
(i) starts at 10 and makes \(\frac{1}{2}\) of a revolution, clockwise?
(ii) starts at 4 and makes \(\frac{1}{4}\) of a revolution, clockwise?
(iii) starts at 4 and makes \(\frac{3}{4}\) of a revolution, clockwise?
Solution:
Question 3.
Where will the hand of a clock stop if it starts from
(i) 6 and turns through 1 right angle?
(ii) 8 and turns through 2 right angles?
(iii) 10 and turns through 3 right angles?
(iv) 7 and turns through 2 straight angles?
Solution:
Question 4.
What fraction of a revolution have you turned through if you stand facing
(i) north and turn clockwise to face west?
(ii)south and turn anti-clockwise to face east?
(iii) east and turn clockwise (or anti-clockwise) to face west?
Also find the number of right angles turned in each case.
Solution:
Question 5.
Match the following
Solution:
Question 6.
Classify the angles whose magnitudes are given below:
(i) 56°
(ii) 125°
(iii) 90°
(iv) 180°
(v) 215°
(vi) 328°
(vii) 89°
(viii) 178°
Solution:
Question 7.
State which of the following angles with a small letter in the following diagrams are acute, which obtuse and which are reflex:
Solution:
Question 8.
Use your protector to measure each of the angles marked in the following figures:
Solution:
Question 9.
Use your protector to measure the reflex angles marked in the following figures:
Solution:
Question 10.
Find the measure of the angle between the hands of the clock in each figure:
Solution:
Question 11.
Write the measure of the smaller angle formed by the hour and the minutes hands of a clock at 7 O’clock. Also write the measure of the other angle and also state what types of angles these are.
Solution:
Question 12.
There are two set-squares in your geometry box. What are measures of the angles formed at their corners? Do they have any angle measure that is common?
Solution:
