**Understanding Elementary Shapes**

**Exercise 5.2**

*Questions with (*) sign are open-ended questions.*

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

Answers:

a). 3 to 9

½ of revolution.

b). 4 to 7

¼ of revolution

c). 7 to 10

¼ of revolution

d). 12 to 9

¾ of revolution

e). 1 to 10

¾ of revolution

f). 6 to 3

¾ of revolution

2). Where will be 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?

Answers:

a). starts at 12 and makes ½ of a revolution clockwise?

At 6.

b). starts at 2 and makes ½ of a revolution, clockwise?

At 8.

c). starts at 5 and makes ¼ of a revolution, clockwise?

At 8.

d). starts at 5 and makes ¾ of a revolution, clockwise?

At 2.

3). Which direction will you face if you start facing

a). east and make ½ of a revolution clockwise?

b). east and make 1½ of a revolution clockwise?

c). west and make ¾ of a revolution clockwise?

d). south and make one full revolution?

(should we specify clockwise or anti-clockwise for this last question? Why not?).

Answers:

a). east and make ½ of a revolution clockwise?

West.

b). east and make 1½ of a revolution clockwise?

West.

c). west and make ¾ of a revolution clockwise?

North.

d). south and make one full revolution?

South.

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?

Answer:

a). east and turn clockwise to face north?

¾ of revolution.

b). south and turn clockwise to face east?

¾ of revolution

c). west and turn clockwise to face east?

½ of revolution.

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

Answer:

a). 3 to 6

1 right angle.

b). 2 to 8

2 right angles.

c). 5 to 11

2 right angles

d). 10 to 1

1 right angle.

e). 12 to 9

3 right angles.

f). 12 to 6

2 right angles.

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 the east?

c). west and turn to west?

d). south and turn to the north?

Answer:

a). south and turn clockwise to the west?

1 right angle.

b). north and turn anti-clockwise to east?

3 right angles.

c). west and turn to west?

4 right angles.

d). south and turn to north?

2 right angles.

7). Where will the hour hand of a clock stop if it starts

a). from 6 and turns through 1 right angles?

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 right angles?

Answer:

a). from 6 and turns through 1 right angles?

At 9.

b). from 8 and turns through 2 right angles?

At 2.

c). from 10 and turns through 3 right angles?

At 7.

d). from 7 and turns through 2 straight angles?

At 7.

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