© t madas botany bay amersham northgate poole milling collier bay 1 cm = 2 km

© 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?

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 =:::

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?

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 =:::

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