20097

Question

The distance between the {{place1}} and the {{place2}} on a map is {{dist}} centimetres.

The scale of the map is {{scale}}.

What is the actual distance between the {{place1}} and the {{place2}}?

Worked Solution

Map distance = {{dist}} cm

Actual distance

= {{dist}} ×\times {{multiplier}}

= {{cm}} cm

= {{m}} m (100 cm = 1 m)

= {{{correctAnswer}}} (1000 m = 1 km)

Variant 0

DifficultyLevel

634

Question

The distance between the airport and the town hall on a map is 3.1 centimetres.

The scale of the map is 1 : 100 000.

What is the actual distance between the airport and the town hall?

Worked Solution

Map distance = 3.1 cm

Actual distance

= 3.1 ×\times 100 000

= 310 000 cm

= 3100 m (100 cm = 1 m)

= 3.1 km (1000 m = 1 km)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
place1
airport
place2
town hall
dist
3.1
scale
1 : 100 000
multiplier
100 000
cm
310 000
m
3100
correctAnswer
3.1 km

Answers

Is Correct?Answer
✓

3.1 km

x

31 m

x

31 km

x

310 m

Variant 1

DifficultyLevel

634

Question

The distance between the airport and the business head office on a map is 2.6 centimetres.

The scale of the map is 1 : 200 000.

What is the actual distance between the airport and the business head office?

Worked Solution

Map distance = 2.6 cm

Actual distance

= 2.6 ×\times 200 000

= 520 000 cm

= 5200 m (100 cm = 1 m)

= 5.2 km (1000 m = 1 km)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
place1
airport
place2
business head office
dist
2.6
scale
1 : 200 000
multiplier
200 000
cm
520 000
m
5200
correctAnswer
5.2 km

Answers

Is Correct?Answer
x

520 m

x

52 km

x

52 m

✓

5.2 km

Variant 2

DifficultyLevel

634

Question

The distance between the beach and the hotel on a map is 2.3 centimetres.

The scale of the map is 1 : 1 000 000.

What is the actual distance between the beach and the hotel?

Worked Solution

Map distance = 2.3 cm

Actual distance

= 2.3 ×\times 1 000 000

= 2 300 000 cm

= 23 000 m (100 cm = 1 m)

= 23 km (1000 m = 1 km)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
place1
beach
place2
hotel
dist
2.3
scale
1 : 1 000 000
multiplier
1 000 000
cm
2 300 000
m
23 000
correctAnswer
23 km

Answers

Is Correct?Answer
x

2.3 km

x

23 m

✓

23 km

x

230 m

Variant 3

DifficultyLevel

634

Question

The distance between the airport and the town hall on a map is 12.6 centimetres.

The scale of the map is 1 : 50 000.

What is the actual distance between the airport and the town hall?

Worked Solution

Map distance = 12.6 cm

Actual distance

= 12.6 ×\times 50 000

= 630 000 cm

= 6300 m (100 cm = 1 m)

= 6.3 km (1000 m = 1 km)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
place1
airport
place2
town hall
dist
12.6
scale
1 : 50 000
multiplier
50 000
cm
630 000
m
6300
correctAnswer
6.3 km

Answers

Is Correct?Answer
✓

6.3 km

x

63 m

x

63 km

x

630 m

Variant 4

DifficultyLevel

634

Question

The distance between the hotel and the adventure park on a map is 11.4 centimetres.

The scale of the map is 1 : 100 000.

What is the actual distance between the hotel and the adventure park?

Worked Solution

Map distance = 11.4 cm

Actual distance

= 11.4 ×\times 100 000

= 1 140 000 cm

= 11 400 m (100 cm = 1 m)

= 11.4 km (1000 m = 1 km)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
place1
hotel
place2
adventure park
dist
11.4
scale
1 : 100 000
multiplier
100 000
cm
1 140 000
m
11 400
correctAnswer
11.4 km

Answers

Is Correct?Answer
x

114 m

x

1.14 km

✓

11.4 km

x

114 km

Tags

  • ch_scale