Northgate
Amersham
Collier Bay
Botany Bay
Milling
Poole
1 cm = 2 km
© T Madas
What is the direct distance
from Northgate to Poole?
Northgate
Amersham
Collier Bay
x2
1 cm = 2 km
Milling
:
:
x18
:
: x18
:
:
18 cm = 36 km
36 km
Botany Bay
Poole
x2
1 cm = 2 km
© T Madas
What is the direct distance
from Collier Bay to Northgate?
Northgate
Amersham
Collier Bay
x2
1 cm =
:
x6.5 :
:
6.5 cm =
Botany Bay
2 km
Milling
:
: x6.5
:
13 km
Poole
x2
1 cm = 2 km
© T Madas
What is the direct distance
from Collier Bay to Botany Bay?
Northgate
Amersham
Collier Bay
x2
1 cm =
2 km
Milling
:
:
x19.7 :
: x19.7
:
:
19.7 cm = 39.4 km
39.4 km
Botany Bay
Poole
x2
1 cm = 2 km
© T Madas
© T Madas
3.2 m
The diagram opposite shows
an architect’s floor plan for a
bathroom.
0
1
2
3
4
5
6
7
8
9
10 11
1
The scale of this plan is 1 : 32
Calculate the internal width
and length of this bathroom
[in m]
door
x32
1 cm = 32 cm
:
:
:
:
x10
x10
:
:
10 cm = 320 cm
x32
© T Madas
3.2 m
0
The diagram opposite shows
an architect’s floor plan for a
bathroom.
1
2
3
8
9
10 11
12 13
x32
3.52 m
door
7
1 cm = 32 cm
:
:
:
:
x11
x11
:
:
11 cm = 352 cm
6
x32
5
Calculate the internal width
and length of this bathroom
[in m]
4
The scale of this plan is 1 : 32
14
15 16 17
© T Madas
© T Madas
The diagram opposite shows an
architect’s floor plan for an office,
consisting of 2 rooms
3.8 m
0
1
2
3
4
5
6
7
8
9
10 11
The scale of this plan is 1 : 40
Calculate the internal dimensions
of the two rooms in metres
Desk B
x40
1 cm = 40 cm
:
:
:
:
x9.5
:
:
9.5 cm = 380 cm
x9.5
x40
Desk A
© T Madas
3.8 m
3
4
5
2.88 m
2
Desk B
6
Calculate the internal dimensions
of the two rooms in metres
1
The scale of this plan is 1 : 40
0
The diagram opposite shows an
architect’s floor plan for an office,
consisting of 2 rooms
7
10 11
12 13
x40
9
1 cm = 40 cm
:
:
:
:
x7.2
x7.2
:
:
7.2 cm = 288 cm
8
x40
14
15 16 17
Desk A
© T Madas
3.8 m
The scale of this plan is 1 : 40
Calculate the internal dimensions
of the two rooms in metres
2.88 m
The diagram opposite shows an
architect’s floor plan for an office,
consisting of 2 rooms
Desk B
0
x40
3
4
5
3.24 m
2
x40
1
1 cm = 40 cm
:
:
:
:
x8.1
x8.1
:
:
8.1 cm = 324 cm
6
7
Desk A
8
9
1
© T Madas
3.8 m
The scale of this plan is 1 : 40
Calculate the internal dimensions
of the two rooms in metres
2.88 m
The diagram opposite shows an
architect’s floor plan for an office,
consisting of 2 rooms
3.8 m by 2.88 m
Desk B
1 cm = 40 cm
:
:
:
:
x8.1
x8.1
:
:
8.1 cm = 324 cm
x40
3.24 m
x40
3.8 m by 3.24 m
Desk A
© T Madas
© T Madas
The average height of a human adult male is 180 cm and this is
shown below using the scale 1 : 20
Using 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?
Scale 1 : 20
drawing : actual
x13
9 cm
13 cm
1 : 20
1 cm : 20 cm
13 cm : 260 cm
x13
?
tallest
average
shortest
© T Madas
The average height of a human adult male is 180 cm and this is
shown below using the scale 1 : 20
Using 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?
Scale 1 : 20
drawing : actual
1 : 20
9 cm
13 cm
1 cm : 20 cm
2 cm : 40 cm
?
tallest
average
3.5 cm
3 cm : 60 cm
4 cm : 80 cm
70 cm
shortest
© 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?
Model : Actual
x8
cm
2
:
:
m
1
16
:
8
x8
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?
Model : Actual
x 2.5
cm
2
:
:
m
1
5
:
2.5
x 2.5
The tail rotor has a span of 5
cm in the model
© T Madas
© T Madas