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.
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
'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
|
'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
|
||||||||||||||||||||||||
135° = three lots of 45° or three-eighths of a rotation (turn): 45° is an eighth of a turn
|
225° = five lots of 45° or five-eighths of a rotation (turn): 45° is an eighth of a turn
|
||||||||||||||||||||||||
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!
|
Look at the compass rose if you can't see this
|
||||||||||||||||||||||||
Look at the compass rose if you can't see this
|
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)
|
||||||||||||||||||||||||
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
|
You know eight of these points. Each point corresponds to 360 ÷ 32 = 11.25° = one thirty-second of a rotation
|