Number And Algebra - Chapter 7 Applying Ratios And Rates - Nelson Think Math Page 26
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32N E L S O N T H I N K M A T H S
8
A u s t r a l i a n C u r r i c u l u m
for the
4
A tourist map uses a scale of 1 : 250 000. What are the real lengths in kilometres for the
following distances measured on the map?
a
4 cm
b
7 cm
c
15 cm
d
18 cm
e
9.5 cm
f
10.4 cm
5
An orienteering map uses a scale of 1 : 25 000. What are the real lengths in metres for the
Worked solutions
following distances measured on the map?
Exercise 7.3
a
4 cm
b
2 cm
c
7 cm
MAT08NAWS00025
d
9 cm
e
10.5 cm
f
6.4 cm
6
Using an orienteering map with a scale of 1 : 25 000, find the length on the map (in cm) for
the following real distances.
a
2.5 km
b
5 km
c
7 km
d
4.5 km
e
8 km
f
6.4 km
7
Find the real lengths for the following distances as measured on a map with the scale shown.
a
5 cm (1 : 100)
b
8 cm (1 : 1000)
c
9 cm (1 : 250)
d
14 cm (1 : 150)
e
7.2 cm (1 : 12 500)
f
12.8 cm (1 : 25 000)
8
For each map scale shown, find the real-life distance equal to a map distance of 12 cm.
a
b
0
500
1000 m
0
500
1000
1500
Scale in metres
c
d
0
10
20
30 km
0
2
Scale in kilometres
e
f
km
0
250
500
750
0
2
4
6
8
10
Scale in metres
g
h
0
100
200
300
400
500
0
2
4
6 km
metres
9
Refer to the map of the University of Queensland shown in Example 18 to answer the
See Example 18
following questions.
a
What are the actual dimensions of Playing Field 5B?
b
How far is it from the pavilion next to the tennis courts to the WEP Harris pavilion?
c
How wide is the Great Court?
d
How far is it from St Johns College to Union College?
e
Approximately how long is Staff House Road?
263
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