© t madas botany bay amersham northgate poole milling collier bay 1 cm = 2 km
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© T Madas
Botany Bay
Amersham
Northgate
Poole
Milling
Collier Bay
1 cm = 2 km
© T Madas
Botany Bay
Amersham
Northgate
Poole
Milling
Collier Bay
What is the direct distance from Northgate to Poole?
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4 5
6 7
8 9
10 11
12 13
14 15
16 17
18 19
20 21
22 23
1 cm = 2 km
1 cm =:::
18 cm =
2 km :::
36 km
36 km
x18 x18
x2
x2
© T Madas
Botany Bay
Amersham
Northgate
Poole
Milling
Collier Bay
What is the direct distance from Collier Bay to Northgate?
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1
2
3
4
5
6
7
8
9
10
11
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19
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22
23
1 cm = 2 km
1 cm =:::
6.5 cm =
2 km :::
13 km
13
km
x6.5 x6.5
x2
x2
© T Madas
Botany Bay
Amersham
Northgate
Poole
Milling
Collier Bay
What is the direct distance from Collier Bay to Botany Bay?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
1 cm = 2 km
1 cm =:::
19.7 cm =
2 km :::
39.4 km
39.4 km
x19.7 x19.7
x2
x2
© T Madas
© T Madas
door
The diagram opposite shows an architect’s floor plan for a bathroom.
The scale of this plan is 1 : 32
Calculate the internal width and length of this bathroom [in m]
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
3.2 m
1 : 32
1 cm =:::
10 cm =
32 cm :::
320 cm
x10 x10
x32
x32
© T Madas
3.5
2 m
door
The diagram opposite shows an architect’s floor plan for a bathroom.
The scale of this plan is 1 : 32
Calculate the internal width and length of this bathroom [in m]
3.2 m
1 : 32
1 cm =:::
11 cm =
32 cm :::
352 cm
0 1
2 3
4 5
6 7
8 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
x11 x11
x32
x32
© T Madas
© T Madas
Desk A
Desk B
The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms
The scale of this plan is 1 : 40
Calculate the internal dimensions of the two rooms in metres
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
1 cm =:::
9.5 cm =
40 cm :::
380 cm
x9.5 x9.5
3.8 m
x40
x40
© T Madas
Desk A
Desk B
The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms
The scale of this plan is 1 : 40
Calculate the internal dimensions of the two rooms in metres0
1 2
3 4
5 6
7 8
9 1
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 2
0 2
1 2
2 2
3
3.8 m
1 cm =:::
7.2 cm =
40 cm :::
288 cm
x7.2 x7.2
2.8
8 m
x40
x40
© T Madas
Desk A
Desk B
The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms
The scale of this plan is 1 : 40
Calculate the internal dimensions of the two rooms in metres
0 1
2 3
4 5
6 7
8 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
3.8 m
1 cm =:::
8.1 cm =
40 cm :::
324 cm
x8.1 x8.1
2.8
8 m
3.2
4 m
x40
x40
© T Madas
Desk A
Desk B
The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms
The scale of this plan is 1 : 40
Calculate the internal dimensions of the two rooms in metres
3.8 m
1 cm =:::
8.1 cm =
40 cm :::
324 cm
x8.1 x8.1
2.8
8 m
3.2
4 m
x40
x40
3.8 m by 2.88 m
3.8 m by 3.24 m
© T Madas
© T Madas
9 c
m
13 c
m
?
The average height of a human adult male is 180 cm and this is shown below using the scale 1 : 20Using the same scale, the tallest and the shortest man in the world are also drawn for comparison.1. What is the actual height of the tallest man in the world?2. If the actual height of the shortest man in the world is 70 cm what is his height in the drawing?
averagetallest shortest
Scale 1 : 20 drawing
1
1 cm
13 cm
actual
20
20 cm
260 cm
:
:
:
:x13 x13
© T Madas
9 c
m
13 c
m
?
The average height of a human adult male is 180 cm and this is shown below using the scale 1 : 20Using the same scale, the tallest and the shortest man in the world are also drawn for comparison.1. What is the actual height of the tallest man in the world?2. If the actual height of the shortest man in the world is 70 cm what is his height in the drawing?
averagetallest shortest
Scale 1 : 20 drawing
1
1 cm
2 cm
3 cm
4 cm
actual
20
20 cm
40 cm
60 cm
80 cm
:
:
:
:
:
:70 cm3.5 cm
© T Madas
© T Madas
A model of a helicopter is made to a scale of 2 cm to 1 m.
1. Calculate the actual span of the helicopter’s rotor in m, if it measures 16 cm in the model.
2. What is the span of the tail rotor in the model in cm, if its actual span is 2.5 m?
Modelcm2
16
Actualm1
8
:::
:x 8 x 8
The rotor has an actual span of 8 m
© T Madas
A model of a helicopter is made to a scale of 2 cm to 1 m.
1. Calculate the actual span of the helicopter’s rotor in m, if it measures 16 cm in the model.
2. What is the span of the tail rotor in the model in cm, if its actual span is 2.5 m?
Modelcm2
5
Actualm1
2.5
:::
:
x 2.5 x 2.5
The tail rotor has a span of 5 cm in the model
© T Madas