Bearings (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

Two towns, A and B, are shown on a map.

Measure the bearing of B from A.

Calculate the bearing of A from B.
You must show all your working.

The diagram shows a triangular field, ABC, on horizontal ground.

The angle BAC is equal to 82.8°.

The bearing of C from A is 210°.

i) Find the bearing of B from A.

[1]

ii) Find the bearing of A from B.

[2]

The bearing of B from A is 105°.  

Find the bearing of A from B.

The diagram shows a field, ABCD, on horizontal ground.

The angle CAD is 35.8° and the bearing of D from A is 070°.

Find the bearing of A from C.

The bearing of Alexandria from Paris is 128°.  

Calculate the bearing of Paris from Alexandria.

The bearing of A from B is 227°.  

Find the bearing of B from A.

A and B are two towns on a map.
The bearing of A from B is 140°.

Work out the bearing of B from A.

The diagram shows the positions of three points,  and  on a map.

The bearing of  from  is .

Angle is .

Work out the bearing of  from .

The diagram shows a field ABCD.
The bearing of B from A is 140°. 
C is due east of B and D is due north of C.
AB = 400m, BC = 350m and CD = 450m.

Find the bearing of D from B.

The diagram shows the positions of three towns, Acton (), Barston () and Chorlton ().

Barston is 8 km from Acton on a bearing of . Chorlton is 9km from Barston on a bearing of .

Find the bearing of Chorlton from Acton.
Give your answer correct to 1 decimal place.
You must show all your working.

A, B, C and D are four towns.

B is 25 kilometres due East of A.
C is 25 kilometres due North of A.
D is 45 kilometres due South of A.

Work out the bearing of B from C.

Calculate the bearing of D from B.

The diagram shows a field, ABCD, on horizontal ground. BC = 192 m, CD = 287.9 m, BD = 168 m and AD = 205.8 m.

Angle CBD = 106°.

i) The bearing of D from B is 038°.

 Find the bearing of C  from B.

[1]

ii) A is due east of B.

 Calculate the bearing of D  from A.

[5]

The diagram shows the positions of three points , and in a field.

Show that is 118.1 m, correct to 1 decimal place.

Calculate angle .

Angle ...............................................

The bearing of from is 147°. Find the bearing of 

i) from ,

[3]

ii) from .

[2]

and are ships.

is a port.

is due South of .
Angle

Work out the bearing of from .

The diagram shows the positions of two towns, Amton and Bisham.

The bearing of Bisham from Amton is b°.
The bearing of Amton from Bisham is 6b°.

Calculate the 3-figure bearing of Amton from Bisham.

The diagram shows the positions of three ships, and .

Ship is due north of ship .

The bearing of ship from ship is 120°

Calculate the bearing of ship from ship .
Give your answer correct to the nearest degree.

,  and  are three towns.

The bearing of  from  is 105°
The bearing of from B is 230°

The distance of  from  is 180 km.
The distance of  from  is 95 km.

Calculate the distance of  from .
Give your answer correct to 3 significant figures.

........................km

A ship sails from to and then from to .

is 12 miles from , on a bearing of 080°

is 28 miles from , on a bearing of 155°

Work out the direct distance from to .