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16 questions at your level
Difficulty
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Level 1
Level 2
Level 3
Level 4
Level 5
Bearings & back bearings
16 questions
Lesson
Not started
Mark as done
(a)
Write down the bearing of a point that is due East.
(b)
Write down the bearing of a point that is due South-West.
(c)
Write down the bearing of a point that is due North-West.
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Level 1
3 marks
Start
→
Mark as done
Write down the three-figure bearing of due west.
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Level 1
1 mark
Start
→
Mark as done
The bearing of
B
B
B
from
A
A
A
is
070
°
070°
070°
. Work out the bearing of
A
A
A
from
B
B
B
.
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Level 1
2 marks
Start
→
Mark as done
(a)
The bearing of
B
B
B
from
A
A
A
is
118
°
118°
118°
. Work out the bearing of
A
A
A
from
B
B
B
.
(b)
The bearing of
D
D
D
from
C
C
C
is
247
°
247°
247°
. Work out the bearing of
C
C
C
from
D
D
D
.
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Level 2
4 marks
Start
→
Mark as done
The diagram shows the positions of a harbour
A
A
A
and a boat
B
B
B
.
62°
A
B
N
Diagram NOT accurately drawn
The angle between North and
A
B
AB
A
B
, measured
anticlockwise
from North, is
62
°
62°
62°
.
Work out the bearing of
B
B
B
from
A
A
A
.
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Level 2
2 marks
Start
→
Mark as done
The diagram shows the positions of two boats,
A
A
A
and
B
B
B
.
62°
A
B
N
N
Diagram NOT accurately drawn
(a)
Write down the bearing of
B
B
B
from
A
A
A
. (1 mark)
(b)
Work out the bearing of
A
A
A
from
B
B
B
. (2 marks)
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Level 2
3 marks
Start
→
Mark as done
The bearing of
B
B
B
from
A
A
A
is
125
°
125°
125°
.
Work out the bearing of
A
A
A
from
B
B
B
. [2]
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Level 2
2 marks
Start
→
Mark as done
From a ship
A
A
A
, the bearing of a lighthouse
L
L
L
is
070
°
070°
070°
and the bearing of a buoy
B
B
B
is
150
°
150°
150°
.
(a)
Work out the size of angle
L
A
B
LAB
L
A
B
.
The lighthouse and the buoy are the same distance from the ship.
(b)
Work out the size of angle
A
L
B
ALB
A
L
B
.
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Level 3
4 marks
Start
→
Mark as done
A ship sails
9
9
9
km due East from
P
P
P
to
Q
Q
Q
, and then
5
5
5
km due North from
Q
Q
Q
to
R
R
R
.
9 km
5 km
P
Q
R
N
Diagram NOT accurately drawn
Work out the bearing of
R
R
R
from
P
P
P
. Give your answer correct to the nearest degree.
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Level 4
3 marks
Start
→
Mark as done
A helicopter flies
8
8
8
km from
A
A
A
on a bearing of
125
°
125°
125°
to reach
B
B
B
.
(a)
Work out how far East of
A
A
A
the point
B
B
B
is. Give your answer correct to 3 significant figures.
(b)
Work out how far South of
A
A
A
the point
B
B
B
is. Give your answer correct to 3 significant figures.
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Level 4
4 marks
Start
→
Mark as done
A phone mast
M
M
M
is
7.4
7.4
7.4
km due West and
3.9
3.9
3.9
km due North of a house
H
H
H
.
(a)
Work out the distance
H
M
HM
H
M
. Give your answer correct to 3 significant figures.
(b)
Work out the bearing of
M
M
M
from
H
H
H
. Give your answer correct to the nearest degree.
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Level 4
5 marks
Start
→
Mark as done
A ship sails
40
40
40
km from port
A
A
A
to a buoy
B
B
B
. It then turns and sails
65
65
65
km from
B
B
B
to port
C
C
C
.
Angle
A
B
C
=
105
°
ABC = 105°
A
B
C
=
105°
.
Work out the direct distance from
A
A
A
to
C
C
C
. Give your answer correct to 1 decimal place.
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Level 4
3 marks
Start
→
Mark as done
A ship leaves a harbour
H
H
H
and sails
8
8
8
km on a bearing of
060
°
060°
060°
to a point
P
P
P
. It then sails
5
5
5
km on a bearing of
150
°
150°
150°
to a point
Q
Q
Q
.
(a)
Work out the distance
H
Q
HQ
H
Q
. Give your answer correct to 3 significant figures. (3 marks)
(b)
Work out the bearing of
Q
Q
Q
from
H
H
H
. Give your answer correct to the nearest degree. (2 marks)
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Level 4
5 marks
Start
→
Mark as done
A yacht sails from
P
P
P
on a bearing of
070
°
070°
070°
for
12
12
12
km to reach
Q
Q
Q
. It then sails on a bearing of
160
°
160°
160°
for
9
9
9
km to reach
R
R
R
.
12 km
9 km
P
Q
R
N
N
Diagram NOT accurately drawn
(a)
Show that angle
P
Q
R
PQR
P
QR
is a right angle.
(b)
Work out the distance
P
R
PR
P
R
.
(c)
Work out the bearing of
R
R
R
from
P
P
P
. Give your answer correct to the nearest degree.
●●●●●
Level 5
7 marks
Start
→
Mark as done
A ship leaves a harbour
H
H
H
and sails
15
15
15
km on a bearing of
048
°
048°
048°
to a point
A
A
A
.
It then sails
25
25
25
km due South to a point
B
B
B
.
(a)
Work out the distance
H
B
HB
H
B
. Give your answer correct to 1 decimal place.
(b)
Work out the bearing of
B
B
B
from
H
H
H
. Give your answer correct to the nearest degree.
●●●●●
Level 5
7 marks
Start
→
Mark as done
A ship leaves a harbour
H
H
H
and sails
11
11
11
km on a bearing of
062
°
062°
062°
to a point
A
A
A
.
It then sails
8
8
8
km on a bearing of
145
°
145°
145°
to a point
B
B
B
.
11 km
8 km
H
A
B
N
N
Diagram NOT accurately drawn
(a)
Show that angle
H
A
B
=
97
°
HAB = 97°
H
A
B
=
97°
.
(b)
Work out the distance
H
B
HB
H
B
. Give your answer correct to 1 decimal place.
(c)
Work out the bearing of
B
B
B
from
H
H
H
. Give your answer correct to the nearest degree.
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Level 5
8 marks
Start
→