Bearings (Cambridge International IGCSE Maths): Exam Questions

Two towns, A and B, are shown on a map. The scale of the map is 1 cm to 3 km.

Find the actual distance between A and B.

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

The bearing of P from B is 102°.

Find the bearing of B from P.

The diagram shows the positions of three cities, Geneva (G), Budapest (B) and Hamburg (H).

The bearing of Budapest from Hamburg is 133°.

Find the bearing of Hamburg from Budapest.

The bearing of a ship from a lighthouse is 050°

Work out the bearing of the lighthouse from the ship.

Martin and Janet are in an orienteering race.

Martin runs from checkpoint $A$ to checkpoint $B$, on a bearing of $065^{\circ}$. Janet is going to run from checkpoint $B$ to checkpoint $A$.

Work out the bearing of $A$ from $B$.

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.

ii) Find the bearing of A from B.

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, $A,B$ and $C,$ on a map.

The bearing of $B$ from $A$ is $070^{\circ}$.

Angle $ABC$ is $50^{\circ}$. $AB=CB$

Work out the bearing of $C$ from $A$.

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 ($A$), Barston ($B$) and Chorlton ($C$).

Barston is 8 km from Acton on a bearing of $037^{\circ}$. Chorlton is 9km from Barston on a bearing of $150^{\circ}$.

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.

Extract:

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.

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.

ii) A is due east of B.

Calculate the bearing of *D *from A.

The diagram shows the positions of three points $A$, $B$ and $C$ in a field.

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

Extract:

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

Calculate angle $ABC$.

Angle $ABC=$ ...............................................

The bearing of $C$ from $A$ is 147°. Find the bearing of

i) $A$ from $B$,

ii) $B$ from $C$.

$J$ and $K$ are ships.

$P$ is a port.

$J$ is due South of $P$. Angle $JPK=56^{\circ}$ $JP=KP$

Work out the bearing of $J$ from $K$.

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, $A,B$ and $C$.

Ship $B$ is due north of ship $A$.

The bearing of ship $C$from ship $A$ is 120°

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

$A$ , $B$ and $C$ are three towns.

The bearing of $B$ from $A$ is 105° The bearing of $C$ from B is 230°

The distance of $C$ from $A$ is 180 km. The distance of $C$ from $B$ is 95 km.

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

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

A ship sails from $P$ to $Q$ and then from $Q$ to $R$.

$Q$ is 12 miles from $P$, on a bearing of 080°

$R$ is 28 miles from $Q$, on a bearing of 155°

Work out the direct distance from $P$ to $R$.