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Position (Easy)
How many points are there in the compass rose? Find out in this quiz.

Position (Easy)

In this 11-plus Maths quiz, you are going to learn a little more about the compass. Did you know that the Chinese invented the compass over two thousand years ago?

Before you start this easy quiz, here's a tip: North East (NE) is midway between N and E; South East (SE) is midway between S and E; South West (SW) is midway between S and W; North West (NW) is midway between N and W. These points are called intercardinal points and they are positioned at 45° to each of the cardinal points they are positioned between.

Finally, it would be a good idea if you drew a diagram of the compass rose to help you do these questions.

Take your time, think carefully and see if you can get full marks.

1 .
If you face NE and turn through 180° anticlockwise, what direction will you be facing now?
SE
S
SW
W
'Anticlockwise' means that you turn (rotate) in the opposite direction to which the hands of the clock turn: the hands of the clock turn 'clockwise'. 180° = two lots of 90° or a half turn
2 .
If you face NW and turn through 180° anticlockwise, what direction will you be facing now?
NE
E
SE
S
'Anticlockwise' means that you turn (rotate) in the opposite direction to which the hands of the clock turn: the hands of the clock turn 'clockwise'. 180° = two lots of 90° or a half turn
3 .
If you face SE and turn through 135° clockwise, what direction will you be facing now?
W
NW
N
SW
135° = three lots of 45° or three-eighths of a rotation (turn): 45° is an eighth of a turn
4 .
If you face West and turn through 225° clockwise, what direction will you be facing now?
S
E
SE
NE
225° = five lots of 45° or five-eighths of a rotation (turn): 45° is an eighth of a turn
5 .
If you face SW and turn through 180°, what direction will you be facing now?
E
NE
You can't say because you haven't been told whether to turn clockwise or anticlockwise
NW
It doesn't make any difference whether you turn clockwise or anticlockwise because you are making a half turn; this means that you will always end up facing the same way no matter which way you turn. If you don't believe it - turn around! D'oh!
6 .
If you face NE, what direction is right behind you?
You can't say
W
S
SW
Look at the compass rose if you can't see this
7 .
If you face SE, what direction is right behind you?
N
NW
You can't say
NE
Look at the compass rose if you can't see this
8 .
Peter and John are at the same position on the ground. Peter is facing NE. John is facing SE. If Peter turns clockwise through 135°, what angle must John turn through to face in the same direction as Peter?
135° anticlockwise
45° anticlockwise
45° clockwise
135° clockwise
Peter turns through 135° (= three lots of 45°) and ends up facing S. John will have to turn clockwise through 45° (an eighth of a turn)
9 .
Peter and John are at the same position on the ground again. Peter is facing NE. John is facing SE. If Peter turns clockwise through 135° what angle must John turn through to face in the same direction as Peter? This time, John is NOT allowed to turn clockwise through 45°.
180° anticlockwise
45° anticlockwise
315° clockwise
315° anticlockwise
John must turn in the opposite direction until he faces S again as in question 8. This shows that for every anticlockwise rotation there is also a clockwise rotation that brings you facing in the same direction. Note: the anticlockwise angle turned through + the clockwise angle turned through = 360°. This is a good check if you want to make sure that you haven't made a mistake
10 .
How many points are there in the compass rose?
24
16
8
32
You know eight of these points. Each point corresponds to 360 ÷ 32 = 11.25° = one thirty-second of a rotation
Author:  Frank Evans

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