© T Madas. What is the direct air distance from London to Athens? 0 1 2 3 4 5 6 7 8 9 10 11 12 13...

© T Madas

What is the direct air distance from London to Athens?

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17.6 cmx 19 500 000= 343 200 000cm

= 3 432 000m

= 3 432km

© T Madas

What is the direct air distance from London to Budapest?

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10.5 cmx 19 500 000= 204 750 000cm

= 2 047 500m

≈ 2 048km

© T Madas

What is the true distance for every mm on this map?

1 mmx 19 500 000= 19 500 000 mm

= 19 500m

= 19.5 km

© T Madas

What is the direct air distance from London to Warsaw?

3.5 cm= 300 miles

= ? miles

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10.6 cm

10.6÷ 3.5≈ 3.03

x 3.03 x 3.03909

© T Madas

What is the direct air distance from London to Berlin?

3.5 cm= 300 miles

= ? miles

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6.9 cm

6.9÷ 3.5≈ 1.97

x 1.97 x 1.97591

© T Madas

Scale 1 : 125 000

© T Madas

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Scale 1 : 125 000

Find the distance between the 2 points on this map

6.8 cmx 125 000= 850 000cm

= 8 500m

= 8.5km

© T Madas

0 20 km

© T Madas

0 20 km

Find the distance between the 2 points marked on this map

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5.3 cm= 20 km

= ? km11.4 cm

11.4÷ 5.3≈ 2.15

x 2.15 x 2.1543

© 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 and the width of the door [in m]10.4 cmx 32= 332.8cm

= 3.328 m

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3.328 m

© T Madas

3.1

68 m

door




= 3.328 m

3.328 m

9.9 cmx 32= 316.8cm

= 3.168 m

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© T Madas

3.1

68 m

door




= 3.328 m

3.328 m

9.9 cmx 32= 316.8cm

= 3.168 m

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2.5 cmx 32= 80cm

= 0.8 m

© T Madas

Desk A

Desk B

The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms


Calculate the internal dimensions of the two rooms in metres

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9.4 cmx 40= 376cm

= 3.76m

© T Madas

Desk A

Desk B



Calculate the internal dimensions of the two rooms in metres9.4 cmx 40= 376cm

= 3.76m

7.1 cmx 40= 284cm

= 2.84m

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© T Madas

Desk A

Desk B



Calculate the internal dimensions of the two rooms in metres9.4 cmx 40= 376cm

= 3.76m

7.1 cmx 40= 284cm

= 2.84m

3.76 m by 2.84 m

8.2 cmx 40= 328cm

= 3.28m

3.76 m by 3.28 m

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© 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

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.



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

The diagram opposite shows an architect’s plan for a bedroom


Calculate the internal area of this bedroom in m2, correct to 2 d.p.

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3.24 m

9 cmx 36= 324cm

= 3.24m

© T Madas

4.6

8 m




9 cmx 36= 324cm

= 3.24m

3.24 m

13 cmx 36= 468cm

= 4.68m

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© T Madas

4.6

8 m




9 cmx 36= 324cm

= 3.24m

3.24 m

13 cmx 36= 468cm

= 4.68m

3.24x 4.68= 15.1632m2A =

15.1

6 m2 (2

d.p.)

© T Madas

The scale of a town map is 1 cm = 200 mOn this map, the town hall is 1½ inches away from the local church.

1. Write down the scale of this map as a unit ratio, in the form 1 : …

2. Calculate the distance between the town hall and the local church, correct to the nearest 10 metres200 m

20000 cm20000

1 cm = 1 cm =

1 :

2.54 cm3.81 cm

1 inch = 1.5 inch

=

3.81 cmx 20000= 76200 cm= 762 m≈ 760m

© T Madas

The length of a model helicopter is 40 cm.The actual length of the helicopter is 18.4 m

1. Write down the scale of this model as a unit ratio, in the form 1 : …



18.4 m1840 cm46

40 cm = 40 cm =

1 :

35 cmx 46 = 1610cm= 16.1 m

2.07 m÷ 46= 0.045m= 4.5cm

© T Madas. What is the direct air distance from London to Athens? 0 1 2 3 4 5 6 7 8 9 10 11 12 13...

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