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Geometry, NAP-C4-CA17

Malcolm leaves his campsite and walks to the lookout.

The diagram shows the routes Malcolm can take and the travel times.
 

 
What is the shortest time that Malcolm can get to the lookout?

`28\ text(minutes)` `29\ text(minutes)` `30\ text(minutes)` `31\ text(minutes)`
 
 
 
 
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`29\ text(minutes)`

Show Worked Solution

`text(Shortest time)` `= 10 + 5 + 9 + 5`
  `= 29\ text(minutes)`

Filed Under: Maps and Bearings, Maps and Bearings, Maps and Directions Tagged With: Band 8, smc-3164-40-Other map problems, smc-3187-35-Shortest distance, smc-670-35-Shortest distance

Geometry, NAP-F4-CA30 SA

5 towns are drawn in the diagram below and labelled T1 to T5.

The range of travel times between towns is shown on the diagram.
 

 
What is the shortest possible travel time from T1 to T5?

   minutes
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`36\ text(minutes)`

Show Worked Solution

`36\ text(minutes)`

`text(Possible routes were:)`

`T1 – T2 – T5`

`= 13 + 26 = 39\ text(mins)`

`T1 – T2 – T4 – T5`

`= 13 + 10 + 14 = 37\ text(mins)`

`T1 – T3 – T4 – T5`

`= 16 + 6 + 14 = 36\ text(mins)` 

Filed Under: Maps and Bearings, Maps and Bearings Tagged With: Band 10, smc-3187-35-Shortest distance, smc-670-35-Shortest distance

Geometry, NAP-G4-NC21

Wayne picks up a package and has to deliver it to the drop off point as shown in the diagram.
 

 

 
Which route is the shortest distance from Wayne's pick up point?

Route 1 Route 2 Route 3 Route 4
 
 
 
 
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`text(Route 4)`

Show Worked Solution

`text(Route 4)`

Filed Under: Maps and Bearings, Maps and Bearings Tagged With: Band 8, smc-3187-35-Shortest distance, smc-670-35-Shortest distance

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