Position Quiz Illustration | A clock face
The hands of the clock turn 'clockwise'

Position 3 (Easy)

Congratulations on making it to the third of our Easy level Eleven Plus maths quizzes on Position. By now you should be quite familiar with the cardinal points on a compass: North, East, South and West, and also on the points which lie between them: NE, SE, SW and NW. Do you remember how many degrees lie between them?

There are 90° separating each of the cardinal points. 90° is one quarter of a rotation.
There are 45° separating the cardinal points from the points in between (e.g. between North and North-East). 45° is one eighth of a rotation.

It will help you in this quiz if you know your 9 times table. That’s because each quarter turn is 90°, so one full turn is 360° and you will know that 9 x 4 = 36. Things get a little trickier when dealing with 45° eighths of a turn. You might need a pencil and paper for some of these questions. Good luck.

1.
If you face NE and turn through 90° anticlockwise, what direction will you be facing now?
N
NW
W
SE
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'. 90° = one quarter turn from NE to NW
2.
If you face NE, what direction is 45° to your left?
N
E
NW
SE
To your left is another way of saying anticlockwise. 45° anticlockwise from NE is North. Look at the compass rose if you can't see this
3.
If you face SW, what direction is right behind you?
NW
NE
SE
SW
Behind you will be 180° from SW, which is NE. Look at the compass rose if you can't see this
4.
If you face NW and turn through 180°, what direction will you be facing now?
SW
NE
SE
S
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!
5.
Which point lies between SW and NW?
N
E
S
W
You would do yourself a favour by learning the points of the compass!
6.
Jennifer and Julie are at the same position on the ground. Jennifer is facing SW. Julie is facing SE. If Jenifer turns anticlockwise through 135°, what angle must Julie turn through to face in the same direction as Jennifer?
90° clockwise
90° anticlockwise
45° clockwise
45° anticlockwise
Jennifer turns through 135° (= three lots of 45°) and ends up facing E. Julie will have to turn anticlockwise through 45° (an eighth of a turn) from SE to E
7.
Jim and Bob at the same position on the ground. Jim is facing NW. Bob is facing SW. If Jim turns clockwise through 225° what angle must Bob turn through to face in the same direction as Jim?
45° clockwise
90° clockwise
90° anticlockwise
315° clockwise
Jim turns through 225° (= five lots of 45°) and ends up facing S. Bob will have to turn clockwise through 315° (seven-eighths of a turn) from SW to S.
45° anticlockwise would also work, and is simpler, but it wasn’t one of the available answers
8.
If you face West and turn through 315° clockwise, what direction will you be facing now?
SE
NW
S
SW
315° = seven lots of 45° or seven-eighths of a rotation (turn): 45° is an eighth of a turn
9.
If you face SW and turn through 225° anticlockwise, what direction will you be facing now?
N
NE
E
NW
'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'. 225° = 180° (one half turn, to NE) + 45° (one eighth of a turn, from NE to N)
10.
If you face W and turn through 135° anticlockwise, what direction will you be facing now?
NE
E
SE
S
135° = three lots of 45° or three-eighths of a rotation (turn): 45° is an eighth of a turn
Author:  Frank Evans

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