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4. What fraction of a clockwise revolution does the minute hand of a clock turn through when it
goes from:
(a) 2 to 8 (b) 10 to 1 (c) 9 to 6

5. What part of a revolution have you turned through if you stand facing:
(a) North and turn clockwise to face East?
(b) West and turn anti-clockwise to face West?
6. Find the number of right angles turned through by the hour hand of a clock when it goes from:

(a) 6 to 12 (b) 10 to 1 (c) 8 to 11
7. How many right angles do you make if you start facing:

(a) South and turn clockwise to North?
(b) West and turn anti-clockwise to South?
8. Where will the hour hand of a clock reach if it starts:
(a) From 8 and turns through 2 right angles?

(b) From 2 and turns through 3 right angles?
9. Where will the hour hand of a clock reach if it starts at:
1 3
(a) 7 and makes of a revolution clockwise? (b) 1 and makes of a revolution clockwise?
2 4
10. Find the angle between the two hands of the clock in the given figures.

11 12 1 11 12 1 11 12 1
10 2 10 2 10 2
(a) 9 3 (b) 9 3 - (c) 9 3
8 4 8 4 8 4
7 6 5 7 6 5 7 6 5

11. Find the angle formed between the minute hand and the hour hand of a clock when the time is
(a) 10 a.m. (b) 4 p.m. (c) 11 a.m. (d) 8 p.m.
12. Fill in the blanks with the appropriate angle type: acute, obtuse, right , complete or straight.

(a) An angle whose measure is less than that of a right angle is ....................
(b) An angle whose measure is the sum of the measures of two right angles is ....................
(c) When the sum of the measures of two angles is a right angle and one of them is an acute angle,
then the other one is ....................

(d) When the sum of the measures of two angles is a straight angle and if one of them is an acute
angle, then the other is ....................

(e) An angle whose measure is 180° is called ....................
(f) An angle whose measure is 87° is called ....................
13. In the adjoining figure:
C q
(a) State the midpoints of all the sides.
p
(b) Identify the lines which are bisectors of the sides. Y
X
(c) Identify the lines which are perpendicular bisectors of the sides.
(d) Identify the line which is only perpendicular. A Z B
r
(e) Identify the line which is only a bisector.

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