Sample Test Answers

(answers are in this colour)

PART 1: Fill in the blanks in the following tables:

Scale: 4 marks

scale of the map distance measured
on the map
distance measured
on the ground
percentage
change in
size of map*
new scale
of the map**
1:175000 8.5 cm 175000 x 8.5 cm
= 1487500 cm or 14.875 km
125% (1 x 1.25) / 175000
= 140000
scale = 1:140000
1:345000 7.9 km / 345000
= 0.0000228 km or 22.8 mm
7.9 km 200% (1 x 2.00) / 345000
= 172500
scale = 1:172500
3.4 cm / 27.5 km
= 3.4 cm / 2750000 cm
= 1:808824
3.4 cm 27.5 km 80% (3.4 x 0.8) / 2750000
= 1011029
scale = 1:1011029
1:25000000 31 mm 25000000 x 31 mm
= 775000000 mm or 775000 m
or 775 km
25000000 / 30000000
= 25/30 = 0.83
change = 83%
1:30000000
5.5 cm / 22.5 km
= 5.5 cm / 2250000 cm
= 1:409091
5.5 cm 22.5 km 409091 / 150000
= 2.73
change = 273%
1:150000
1:400000 17 km / 400000
= 0.0000425 km or 42.5 mm
17.0 km 67% (1 x 0.67) / 400000
= 597015
scale = 1:597015
1:50000 55 mm 50000 x 55 mm
= 2750000 mm or 2.75 km
120% (1 x 1.2) / 50000
= 41667
scale = 1:41667
1:100000 45 km / 100000
= 0.00045 km or 45 cm
45 km 100000 / 50000
= 10/5 = 2
change = 200%
1:50000

Directions: 6 marks

azimuth bearing
43o N 43o E
348o
(360 - 12)
N 12o W
125.5o S 54.5o E
(180 - 125.5)
144o 40'
(180 - 35o 20')
S 35o 20' E
317o 30' N 42o 30' W
(360 - 317o 30')
246.5o
(180 + 66.5o)
S 66.5o W

magnetic declination
in 1939
(E or W of True North)
annual
change
magnetic declination
in 1945
(E or W of True North)
magnetic azimuth
measured
in 1945
true north
azimuth
4o 25' W + 3' 4o 43' W
(4o 25' + 18')
change = + 18' (3'/year x 6 years)
103o 00' 98o 17'
(103o 00' - 4o 43')
12o 20' E - 1' 12o 14' E
(12o 20' - 6')
change = - 6' (-1'/year x 6 years)
226o 30' 238o 44'
(226o 30' + 12o 14')
4o 15' E + 5' 4o 45' E
(4o 15' + 30')
change = + 30' (5'/year x 6 years)
13o 15'
(18o 00' - 4o 45')
18o 00'

Proportional Symbols: 10 marks

Column/prism/flow maps (linear proportionality & divided symbols)
largest
symbol
size
maximum
value in
data set
value to be represented
on the map
size of
that
symbol
value of
subdivision
in data set
size of
subdivision
of symbol
3 cm 500000 130000 0.78 cm
(3 cm x 130000/500000)
95000 0.57 cm
(3 cm x 95000/500000)
2.5 cm 740 520 1.76 cm
(2.5 cm x 520/740)
330 1.115 cm
(2.5 cm x 330/740)
1.5 cm 122000 89467
(122000 x 1.10/1.5)
1.10 cm 61000
(122000 x 0.75/1.5)
0.75 cm
2.0 cm 35500 15975
(35500 x 0.9/2.0)
0.9 cm 7988
(35500 x 0.45/2.0)
0.45 cm

Proportional symbol maps (area proportionality)

largest symbol
width
maximum value in
data set
value to
be represented
width of symbol
3 cm 22000
square root = 148.32
14500
square root = 120.42
2.44 cm
= 3.0 cm x (120.42 / 148.32)
2.5 cm
1945000
square root = 1394.63
526000
(1.3 / 2.5) x 1394.63 = 725.21
725.212 = 526000
1.3 cm
2.0 cm 7700
square root = 87.75
5700
square root = 75.50
1.72 cm
= 2.0 cm x (75.50 / 87.75)