Two sailing boats set sail from an island.
The direction that each boat sailed is shown in the diagram below.
The angle between the direction of the two boats has been shaded.
What is the size of the shaded angle?
| ° |
Geometry, NAP-K3-CA17
Cameron is camping with 4 friends.
They have individual tents shown on the diagram below.
Brandon's tent is north-west of Cameron and Dan's tent is to Cameron's north.
What is Cameron's position?
| B2 | B6 | D4 | F2 | F6 |
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Show Worked Solution
`text(Cameron’s tent is located at F2.)`
Geometry, NAP-A3-CA25
This is a map of mountains in a national park.
Tony is at the Hillary Lodge facing East. He turns 225° in a clockwise direction.
Which mountain is Tony now facing?
| `text(Mt Black Dog)` | `text(Mt Ellis)` | `text(Mt Blart)` | `text(Mt Can Can)` |
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Show Worked Solution
`text(Mt Blart)`
Geometry, NAP-A3-NC01
This map shows the location of different animal enclosures at a zoo.
Which animal enclosure is West of the Giraffes and North of the Monkeys?
| Reptiles | Bears | Tigers | Crocodiles |
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Geometry, NAP-J3-CA13
A map of the huts in Ghengis Khan's camp is drawn below.
In what direction is Ghengis' hut from Batu's hut?
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north-west |
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north-east |
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north |
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south-west |
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south-east |
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south |
Geometry, NAP-B3-CA14
Sanjeev is travelling along Dogwood Drive towards Alex Street.
What direction is Sanjeev travelling?
| `text(South-west)` | `text(East)` | `text(West)` | `text(North-east)` |
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Geometry, NAP-D3-CA32 SA
Blair was walking in bush trails. He started walking due north and then made three direction changes:
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- 25° right turn
- 70° left turn
- a final right turn until he was walking in a due east direction.
How many degrees did Blair turn on his final right turn?
| degrees |
Show Worked Solution
| `text(Blair’s final right turn)` | `= 45 + 90` |
| `= 135°` |
Geometry, NAP-F3-CA21
Brian enters a park at one of the entries shown below.
The map is drawn to scale but no scale is given.
He moves 60 metres in a north-east direction and then turns and walks 30 metres in a south-east direction.
Which point on the map shows where Brian ended up?
| `A` | `B` | `C` | `D` |
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Geometry, NAP-G3-NC22
Prudence walked south along Bond Street and then turned left on to Bridge Street.
What was the first street she passed on her left?
| Ivy Lane | Kemp Street | King Street | Crown Street |
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Geometry, NAP-G3-CA10
Daniel is at the Racoon Ridge Inn.
Which of these directions should Daniel follow to get to Darlington?
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Go north-east to York, then turn left. |
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Go north-west to York, then turn left. |
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Go north-east to York, then turn right. |
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Go north-west to York, then turn right. |
Geometry, NAP-H3-NC17
Christopher is walking in south-east direction and makes a quarter turn to his right.
Which direction is he walking after he turns?
| south | east | north-east | south-west |
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Show Worked Solution
`text(south-west)`
Geometry, NAP-H3-CA26
Charles is facing south. He then turns 225° anticlockwise.
Charles then turns clockwise until he faces west.
By how many degrees did Charles turn clockwise?
| `45°` | `135°` | `180°` | `315°` |
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Show Worked Solution
`:.\ text(Charles turns 315° clockwise.)`
Geometry, NAP-I3-NC01
Richard is at the starting line of an orienteering course, as shown on the grid diagram below.
Richard jogs 300 metres north and 400 metres west from the starting line to reach Checkpoint 1.
In which cell is Checkpoint 1?
| `text(E6)` | `text(H5)` | `text(B6)` | `text(A5)` |
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Geometry, NAP-C3-NC14
A car is travelling south-west on Chappell Street.
The car is about to turn onto Second Street.
In which direction will the car be travelling after it turns right?
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south-west |
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north-west |
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south-east |
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north-east |
Show Worked Solution
`text(Readjusting the directions to the compass below:)`
`:.\ text(After turning right, the car is travelling north-west.)`
Geometry, NAP-C3-NC23
Harry lives on a street that runs directly east-west.
Harry's house is east of town hall and north of the pool.
What street does Harry live in?
| `text(Right St)` | `text(Bourke St)` | `text(Anne St)` | `text(Cube St)` |
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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?
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`text(3S, 2E, 3S, 2E)` |
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`text(2S, 2E, 4S, 6E)` |
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`text(3N, 2W, 3N, 4W)` |
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`text(2N, 2E, 4N, 6W)` |
Show Worked Solution
`text(2N, 2E, 4N, 6W gets David back home.)`
