SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Geometry, NAP-B4-CA23

This is a map of the road a bus uses to travel from the bus depot to the beach and back again.

The map is to scale.
 

 
The total distance the bus travels on this route is 1800 metres.

What is the scale of the map?

`text(1 unit = 36 m)` `text(1 unit = 42 m)` `text(1 unit = 45 m)` `text(1 unit = 50 m)`
 
 
 
 
Show Answers Only

`36`

Show Worked Solution

`text(Total grid units travelled = 50)`

`:.\ text(S)text(cale)` `= 1800/50`
  `= 36\ text{m  (to 1 unit)}`

Filed Under: Maps and Bearings, Maps and Bearings Tagged With: Band 9, smc-3187-20-Map scales, smc-670-20-Map scales

Geometry, NAP-B4-CA22

 
The distance on the map from Hill End to Rouse Hill along the road is 5 cm.

How long will it take to walk from Hill End to Rouse Hill along the road at a speed of 6 kilometres per hour?

 
1 hour 15 minutes
 
1 hour 25 minutes
 
12 hours 5 minutes
 
12 hours 30 minutes
Show Answers Only

`text(1 hour 15 minutes)`

Show Worked Solution
`text(Distance)` `= 5 xx 1500`
  `= 7500\ text(m)`
  `= 7.5\ text(km)`

 

`:.\ text(Walk Time)` `= 7.5/6`
  `= 1.25\ text(hours)`
  `= 1\ text(hour 15 minutes)`

Filed Under: Maps and Bearings, Maps and Bearings, Maps and Directions, Rates and Ratios, Rates and Ratios Tagged With: Band 9, smc-3164-20-Map scales, smc-3177-50-D=SxT, smc-3187-20-Map scales, smc-670-20-Map scales, smc-685-50-D=SxT

Geometry, NAP-B4-CA03

Two places are 5.4 cm apart on a map.

On the map 1 cm represents 4 km.

What is the actual distance between the two places?

1.08 km 10.8 km 21.6 km 43.4 km
 
 
 
 
Show Answers Only

`21.6\ text(km)`

Show Worked Solution
`text(Actual distance)` `=5.4 xx 4`
  `=21.6\ text(km)`

Filed Under: Maps and Bearings, Maps and Bearings Tagged With: Band 5, smc-3187-20-Map scales, smc-670-20-Map scales

Geometry, NAP-F4-CA25 SA

Towns  `A, B and C` are marked on the scale diagram below.

The distance from Town  `A`  to Town  `B`  is 9 km.

What is the distance from Town  `B`  to Town  `C?`

   kilometres
Show Answers Only

`3.6\ text(km)`

Show Worked Solution

`text(Let)\ \ d = text(distance of Town)\ B\ text(to Town)\ \ C`

`text(S)text(ince the diagram is to scale,)`

`d/9` `= 2/5`
`:. d` `= (9 xx 2)/5`
  `= 3.6\ text(km)`

Filed Under: Maps and Bearings, Maps and Bearings, Ratio and Scale in Geometry, Ratio and Scale in Geometry Tagged With: Band 9, smc-3187-20-Map scales, smc-3188-30-Grids and Scale, smc-670-20-Map scales, smc-896-30-Grids and Scale

Geometry, NAP-F4-CA02

The distance between Newcastle and Canberra on the map below is 9 cm.
 

 
The scale of the map is  1 cm = 50 km.

What is the actual distance between Newcastle and Canberra?

`350\ text(km)` `450\ text(km)` `600\ text(km)` `900\ text(km)`
 
 
 
 
Show Answers Only

`450\ text(km)`

Show Worked Solution
`text(Distance)` `= 9 xx 50`
  `= 450\ text(km)`

Filed Under: Maps and Bearings, Maps and Bearings, Maps and Directions Tagged With: Band 5, smc-3164-20-Map scales, smc-3187-20-Map scales, smc-670-20-Map scales

Geometry, NAP-G4-CA17

The distance from Village `A` to Village `C` is 6 cm on the map.
 

 
What is the actual distance from Village `A` to Village `C?`

`50\ text(m)` `180\ text(m)` `500\ text(m)` `1800\ text(m)`
 
 
 
 
Show Answers Only

`1800\ text(m)`

Show Worked Solution
`6\ text(cm) xx 30\ 000` `= 180\ 000\ text(cm)`
  `= 1800\ text(m)`

Filed Under: Maps and Bearings, Maps and Bearings Tagged With: Band 8, smc-3187-20-Map scales, smc-670-20-Map scales

Geometry, NAP-I4-NC15

Alison draws a scale map of Australia on a coordinate grid.
 

nap-169-nc015 

 
She knows that the actual distance between Karratha and Mackay is 2950 kilometres.

Which scale value should Alison use for her map?

`180\ text(km)` `330\ text(km)` `400\ text(km)` `500\ text(km)`
 
 
 
 
Show Answers Only

`text(400 km)`

Show Worked Solution

`text(Mackay is 7.7 grid intervals away from Karratha.)`

`:.\ text(Scale value)` `= 2950/7.7`
  `~~400`

Filed Under: Maps and Bearings, Maps and Bearings Tagged With: Band 8, smc-3187-20-Map scales, smc-670-20-Map scales

Copyright © 2014–2025 SmarterEd.com.au · Log in