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Geometry, NAP-A3-NC17

Five students were given their mark for their science exam.

This diagram shows their results.
 

 
Which student got the highest mark?

Zoey Matt John Ged Gina
 
 
 
 
 
Show Answers Only

`text(Zoey)`

Show Worked Solution

`text(Marks from highest to lowest are:)`

`text(Zoey, Matt, Gina, John, Ged)`

`:.\ text(Zoey got the highest mark.)`

Filed Under: Maps and Directions, Maps and Directions Tagged With: Band 7, smc-3164-40-Other map problems, smc-667-40-Other map problems

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-C3-NC06

An orientation course is set up with 4 drinking stations.

Runners start and then progress through the course in the order of the drinking stations labelled 1-4 in the diagram below.
 

 
At which drinks station do the runners make the greatest change of direction?

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

Show Worked Solution

`text(Station 2)`

Filed Under: Maps and Directions, Maps and Directions Tagged With: Band 6, smc-3164-40-Other map problems, smc-667-40-Other map problems

Geometry, NAP-C3-CA20

David visits his favourite coffee shop by travelling 6 km south then 4 km east.

He records his trip as 6S, 4E.
 

 
Which of these trips takes David home again?

 
`text(3S, 2E, 3S, 2E)`
 
`text(2S, 2E, 4S, 6E)`
 
`text(3N, 2W, 3N, 4W)`
 
`text(2N, 2E, 4N, 6W)`
Show Answers Only

 `text(2N, 2E, 4N, 6W)`

Show Worked Solution

`text(2N, 2E, 4N, 6W gets David back home.)`

Filed Under: Maps and Directions, Maps and Directions Tagged With: Band 8, smc-3164-10-Compass directions, smc-3164-40-Other map problems, smc-667-10-Compass directions, smc-667-40-Other map problems

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