11-Plus Maths Quiz - Position (Easy) (Questions)

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
2. If you face NW and turn through 180° anticlockwise, what direction will you be facing now?
 [ ] NE [ ] E [ ] SE [ ] S
3. If you face SE and turn through 135° clockwise, what direction will you be facing now?
 [ ] W [ ] NW [ ] N [ ] SW
4. If you face West and turn through 225° clockwise, what direction will you be facing now?
 [ ] S [ ] E [ ] SE [ ] NE
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
6. If you face NE, what direction is right behind you?
 [ ] You can't say [ ] W [ ] S [ ] SW
7. If you face SE, what direction is right behind you?
 [ ] N [ ] NW [ ] You can't say [ ] NE
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
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
10. How many points are there in the compass rose?
 [ ] 24 [ ] 16 [ ] 8 [ ] 32
11-Plus Maths Quiz - Position (Easy) (Answers)
1. If you face NE and turn through 180° anticlockwise, what direction will you be facing now?
 [ ] SE [ ] S [x] 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 [x] 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?
 [x] 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 [x] 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 [x] 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 [x] SW
Look at the compass rose if you can't see this
7. If you face SE, what direction is right behind you?
 [ ] N [x] 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 [x] 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 [x] 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 [x] 32
You know eight of these points. Each point corresponds to 360 ÷ 32 = 11.25° = one thirty-second of a rotation