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Ratios and Proportion: Maps and Scales (Basic)

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.

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?

a)

T

b)

F

2.

The actual area of Sungei Buloh Wetland Reserve is 1.3  km2km^2  . A scale of 1 cm represents 1.5 km on the map.
(a) Express the scale in the form  1 : n1\ :\ n  .

a)

1 : 1.5

b)

1 : 1 500 000

c)

1 : 150 000

d)

1 : 1500

3.

The actual area of Sungei Buloh Wetland Reserve is 1.3  km2km^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  cm2cm^2  .

a)

 0.577 cm20.577\ cm^2   

b)

  0.577... cm20.577...\ cm^2  

c)

 0.578 cm20.578\ cm^2  

d)

 2645 cm2\frac{26}{45}\ cm^2  

4.

On a map, the distance between two buildings is 20 cm. The actual distance between the two buildings is  5 km5\ km  . If the map is drawn to a scale of  1 : n1\ :\ n  , find  nn  .

a)

0.25

b)

4

c)

25 000

d)

250 000

5.

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.

a)

0.525 m

b)

5.25 m

c)

525 m

d)

52 500 m

6.

On a map, 6 cm represents 7.5 km.
(a) Express the map scale in the form of  1 : r1\ :\ r  .

a)

1 : 1.25

b)

1 : 12 500

c)

1 : 125 000

d)

1 : 1 250 000

7.

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.

a)

1.6 cm

b)

9.6 cm

c)

15 cm

d)

96 cm

8.

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.

a)

0.2 m

b)

2 m

c)

200 m

d)

200 000 m

9.

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.

a)

1 : 8

b)

1 : 8000

c)

1 : 80 000

d)

1 : 800 000

10.

Explain briefly what the scale in the previous question means.

4 lines