Bearings (Cambridge International IGCSE Maths): Exam Questions

Measure the bearing of $B$ from $A$.

The diagram shows the positions of town $S$ and town $T$. 1 centimetre on the diagram represents 15 kilometres.

i) Find the actual distance between these two towns.

....................................... km [2]

ii) Measure the bearing of town $T$ from town $S$.

The bearing of $B$ from $A$ is 105°. Find the bearing of $A$ from $B$.

The diagram shows a rock, $R$.

1 centimetre represents 30 metres.

A lighthouse, $L$, is 210m from $R$, on a bearing of 125°.

On the diagram, mark the position of $L$.

The diagram shows a map of Kingswood Park. There are two straight paths and one circular path. The scale is 1cm represents 200m.

Measure the bearing of South Gate from North Gate.

The diagram shows the positions of two towns, $A$ and $B$. 1 centimetre on the diagram represents 10 kilometres.

i) Work out the actual distance between town $A$ and town $B$.

............................................ km [2]

ii) Town C is 85 km from town A on a bearing of 100°.

On the diagram, mark the position of town C.

The bearing of Bartown from Whitestoke is 073°.

Work out the bearing of Whitestoke from Bartown.

Point $B$ is 36 km from point $A$on a bearing of 140°.

Using a scale of 1 centimetre to represent 4 kilometres, mark the position of $B$.

Scale: 1cm to 4 km

The diagram shows the positions of two towns, Yatterford ($Y$) and Rexley ($R$), on a map. The scale is 1 centimetre represents 15 kilometres.

i) Work out the actual distance of Rexley from Yatterford.

............................. km [2]

ii) Measure the bearing of Rexley from Yatterford.

The diagram shows the positions of an airport ($A$) and a train station ($T$) on a map.

The scale is 1 centimetre represents 2 kilometres.

Work out the actual distance, in kilometres, of the train station from the airport.

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

Extract:

The diagram shows the positions of an airport (![A]) and a train station (![T]) on a map.

Measure the bearing of the airport from the train station.

The bus station is not shown on the map. The bearing of the bus station from the train station is 318°.

Work out the bearing of the train station from the bus station.

The diagram shows the positions of a rock, $R$, and a statue, $S$, on a map. The scale is 1 centimetre represents 6 metres.

i) Work out the actual distance between$R$ and $S$.

............................................. m [2]

ii) A flagpole, $F$, is on a bearing of 164° from $S$.

Work out the bearing of $S$ from $F$.

iii) Ishaan uses the map to find some treasure, $T$. $T$ is on a bearing of 076° from $R$ and on a bearing of 337° from $S$.

Mark the position of $T$ on the map.

The diagram shows the positions of two buoys,$A$and $B$, in the sea. The scale is 1 centimetre represents 20 kilometres.

i) Work out the actual distance between buoy $A$ and buoy $B$.

.............................................. km [2]

ii) Measure the bearing of buoy$B$ from buoy $A$.

iii) Buoy $C$ is 120 km from buoy $B$ on a bearing of 300°.

On the , mark the position of buoy $C$.

The diagram shows the positions of town $A$ and town $B$.

The scale is 1 centimetre represents 12 kilometres.

i) Measure the bearing of town $B$ from town $A.$

ii) Find the actual distance from town $A$ to town $B$.

.............................................. km [2]

iii) Town $C$ is on a bearing of 064° from town $A$ and 028° from town $B$.

On the diagram, mark the position of town $C$.

The bearing of town $D$ from town $E$ is 245°.

Work out the bearing of town $E$ from town $D$.

The diagram shows town $A$, town $B$ and town $C$ on a map. There is a straight road between town $A$ and town $B$. The scale of the map is 1 centimetre represents 8 kilometres.

Measure the bearing of town $A$ from town $B$.

Extract:

The scale of the map is 1 centimetre represents 8 kilometres.

Work out the actual distance, in kilometres, between town $A$ and town $B$.

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

Extract:

The diagram shows town ![A], town ![B] and town ![C] on a map. There is a straight road between town ![A] and town ![B]. The scale of the map is 1 centimetre represents 8 kilometres.

A straight road from town $C$ is on a bearing of 246°. It meets the road from town $A$ to town$B$at point $X$.

On the map, draw the road from town $C$ to point $X$. Label the position of $X$.