## 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: