Ratios and Proportion: Maps and Scales (Basic)

Whenever we refer to a scale ratio (be it for length or for area), it is always arranged such that "actual : map". True or false?

• T

• F

The actual area of Sungei Buloh Wetland Reserve is 1.3  $km^2$  . A scale of 1 cm represents 1.5 km on the map.
(a) Express the scale in the form  $1\ :\ n$  .

• 1 : 1.5

• 1 : 1 500 000

• 1 : 150 000

• 1 : 1500

The actual area of Sungei Buloh Wetland Reserve is 1.3  $km^2$  . A scale of 1 cm represents 1.5 km on the map.
(b) Calculate the area of Sungei Buloh Wetland Reserve on the map in  $cm^2$  .

•  $0.577\ cm^2$   

•   $0.577...\ cm^2$  

•  $0.578\ cm^2$  
  

•  $\frac{26}{45}\ cm^2$  
  

On a map, the distance between two buildings is 20 cm. The actual distance between the two buildings is  $5\ km$  . If the map is drawn to a scale of  $1\ :\ n$  , find  $n$  .

• 0.25

• 4

• 25 000

• 250 000

A map is drawn to a scale of 1 : 5000. A rectangular car park has a length of 10.5 cm on the map. Find the actual length of the car park in metres.

• 0.525 m

• 5.25 m

• 525 m

• 52 500 m

On a map, 6 cm represents 7.5 km.
(a) Express the map scale in the form of  $1\ :\ r$  .

• 1 : 1.25

• 1 : 12 500

• 1 : 125 000

• 1 : 1 250 000

On a map, 6 cm represents 7.5 km.
(b) The actual length of a river is 12 km. Find the length of the river on the map, in cm.

• 1.6 cm

• 9.6 cm

• 15 cm

• 96 cm

A map is drawn to a scale of 1 : 25 000. A small geological feature has a length of 8 mm on the map. Calculate the actual length, in metres, of this feature.

• 0.2 m

• 2 m

• 200 m

• 200 000 m

An island of area 51.84 km² is represented on a map by an area of 0.81 cm².

(a) Express the scale of the map in the form of 1 : n.

• 1 : 8

• 1 : 8000

• 1 : 80 000

• 1 : 800 000

Explain briefly what the scale in the previous question means.

Answer explanation

1 cm on the map represents an actual distance of 800 000 cm.