20349

Question

The letters below represent {{landmark1}}.

The {{connect}} between {{landmark2}} and their distances, in kilometres, are shown on the diagram.


{{network}}


If travel can only be made on the {{connect}} shown on the diagram, which of the following trips is the shortest?

Worked Solution

Calculate the distance of each option:

{{working}}

∴\therefore {{{correctAnswer}}} is the shortest.

Variant 0

DifficultyLevel

592

Question

The letters below represent country properties.

The roads between properties and their distances, in kilometres, are shown on the diagram.



If travel can only be made on the roads shown on the diagram, which of the following trips is the shortest?

Worked Solution

Calculate the distance of each option:

A to C: 5.3 + 2.8 = 8.1

B to E: 2.8 + 4.9 = 7.7

D to C: 3.3 + 4.9 = 8.2

A to E: 4.2 + 3.3 = 7.5

∴\therefore Town A to Town E is the shortest.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
landmark1
country properties
connect
roads
landmark2
properties
network
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/variant312_1.svg 300 indent3 vpad
working
A to C: 5.3 + 2.8 = 8.1 B to E: 2.8 + 4.9 = 7.7 D to C: 3.3 + 4.9 = 8.2 A to E: 4.2 + 3.3 = 7.5
correctAnswer
Town A to Town E

Answers

Is Correct?Answer
x

Town A to Town C

x

Town B to Town E

x

Town D to Town C

✓

Town A to Town E

Variant 1

DifficultyLevel

586

Question

The letters below represent a city's museums.

The pathways between museums and their distances, in kilometres, are shown on the diagram.



If travel can only be made on the pathways shown on the diagram, which of the following trips is the shortest?

Worked Solution

Calculate the distance of each option:

A to C: 2.7 + 3.6 = 6.3

B to D: 3.6 + 2.9 = 6.5

D to E: 2.9 + 3.5 = 6.4

B to E: 3.6 + 3.5 = 7.1

∴\therefore Museum A to C is the shortest.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
landmark1
a city's museums
connect
pathways
landmark2
museums
network
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/variant312_2.svg 250 indent3 vpad
working
A to C: 2.7 + 3.6 = 6.3 B to D: 3.6 + 2.9 = 6.5 D to E: 2.9 + 3.5 = 6.4 B to E: 3.6 + 3.5 = 7.1
correctAnswer
Museum A to C

Answers

Is Correct?Answer
✓

Museum A to C

x

Museum B to D

x

Museum D to E

x

Museum B to E

Variant 2

DifficultyLevel

585

Question

The letters below represent a city's parks.

The pathways between parks and their distances, in kilometres, are shown on the diagram.



If travel can only be made on the pathways shown on the diagram, which of the following trips is the shortest?

Worked Solution

Calculate the distance of each option:

A to E: 2.3 + 4.1 = 6.4

B to D: 2.3 + 3.1 = 5.4

A to C: 2.3 + 3.8 = 6.1

F to A: 2.9 + 3.1 = 6.0

∴\therefore Park B to D is the shortest.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
landmark1
a city's parks
connect
pathways
landmark2
parks
network
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/variant312_3.svg 240 indent3 vpad
working
A to E: 2.3 + 4.1 = 6.4 B to D: 2.3 + 3.1 = 5.4 A to C: 2.3 + 3.8 = 6.1 F to A: 2.9 + 3.1 = 6.0
correctAnswer
Park B to D

Answers

Is Correct?Answer
x

Park A to E

✓

Park B to D

x

Park A to C

x

Park F to A

Variant 3

DifficultyLevel

591

Question

The letters below represent a city's train stations.

The train lines between stations and their distances, in kilometres, are shown on the diagram.



If travel can only be made on the train lines shown on the diagram, which of the following trips is the shortest?

Worked Solution

Calculate the distance of each option:

A to D: 4.5 + 3.6 = 8.1

E to B: 3.4 + 3.9 = 7.3

B to C: 3.9 + 3.6 = 7.5

C to E: 3.6 + 3.4 = 7.0

∴\therefore Station C to E is the shortest.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
landmark1
a city's train stations
connect
train lines
landmark2
stations
network
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/02/variant312_4rev.svg 200 indent3 vpad
working
A to D: 4.5 + 3.6 = 8.1 E to B: 3.4 + 3.9 = 7.3 B to C: 3.9 + 3.6 = 7.5 C to E: 3.6 + 3.4 = 7.0
correctAnswer
Station C to E

Answers

Is Correct?Answer
x

Station A to D

x

Station E to B

x

Station B to C

✓

Station C to E

Variant 4

DifficultyLevel

591

Question

The letters below represent mining tenements.

The roads between tenements and their distances, in kilometres, are shown on the diagram.



If travel can only be made on the roads shown on the diagram, which of the following trips is the shortest?

Worked Solution

Calculate the distance of each option:

A to D: 4.5 + 5.1 = 9.6

B to C: 5.1 + 3.9 = 9.0

F to C: 4.3 + 3.9 = 8.2

E to F: 4.9 + 4.3 = 9.2

∴\therefore Tenement F to C is the shortest.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
landmark1
mining tenements
connect
roads
landmark2
tenements
network
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/variant312_5.svg 270 indent3 vpad
working
A to D: 4.5 + 5.1 = 9.6 B to C: 5.1 + 3.9 = 9.0 F to C: 4.3 + 3.9 = 8.2 E to F: 4.9 + 4.3 = 9.2
correctAnswer
Tenement F to C

Answers

Is Correct?Answer
x

Tenement A to D

x

Tenement B to C

✓

Tenement F to C

x

Tenement E to F