Two places are 3.6 cm apart on a map.
On the map 1 cm represents 3 km.
What is the actual distance between the two places?
`1.2\ text(km)` | `6.6\ text(km)` | `10.8\ text(km)` | `32.4\ text(km)` |
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Aussie Maths & Science Teachers: Save your time with SmarterEd
Two places are 3.6 cm apart on a map.
On the map 1 cm represents 3 km.
What is the actual distance between the two places?
`1.2\ text(km)` | `6.6\ text(km)` | `10.8\ text(km)` | `32.4\ text(km)` |
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`10.8\ text(km)`
`text(Actual distance)` | `=3.6 xx 3` |
`=10.8\ text(km)` |
Here is a map of Crikey Island.
The shortest distance from Point Nobby to Gilbos is 900 m.
The shortest distance from Point Nobby to Fire Beach is closest to
`text(1050 m)` | `text(1900 m)` | `text(2100 m)` | `text(2450 m)` |
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`text(2100 m)`
`text(Let)\ w =\ text(grid width)`
`text(Distance from Point Nobby to Gilbos) =4.5w`
`:. 4.5 w` | `= 900` |
`w` | `= 200\ text(metres)` |
`:.\ text(Distance from Point Nobby to Fire Beach)`
`= 10.5 w`
`= 10.5 xx 200`
`= 2100\ text(metres)`
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?
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1 hour 15 minutes |
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1 hour 25 minutes |
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12 hours 5 minutes |
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12 hours 30 minutes |
`text(1 hour 15 minutes)`
`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)` |
On the map below, York is 60 km from Karkoo.
The town of Cootra is not shown on the map.
Cootra is due east of Barwell and due North of Ungarra.
What is the distance from Ungarra to Cootra?
km |
`90`
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 |
`3.6`
`text(Let)\ \ d = text(distance of Town)\ B\ text(to Town)\ \ C`
`text(S)text(ince the diagram is a scale diagram,)`
`d/9` | `= 2/5` |
`:. d` | `= (9 xx 2)/5` |
`= 3.6\ text(km)` |
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)` |
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`1800\ text(m)`
`6\ text(cm) xx 30\ 000` | `= 180\ 000\ text(cm)` |
`= 1800\ text(m)` |
Grant was making a scale drawing of a pipeline on grid paper.
The full length of the pipeline is drawn to scale on the grid below. It consists of 8 identical sections joined together (not shown on the diagram).
What is the length of each section of pipeline?
metres |
`25`
`text(S)text(ection length)` | `= text(total length)/text(number of sections)` |
`= (5 xx 40)/8` | |
`=200/8` | |
`= 25\ text(metres)` |
Jana drew a diagram of her tennis racquet.
The actual length of her racquet is 60 centimetres.
What is the actual width of her racquet head?
centimetres |
`26`
`text(Racquet is 30 grid intervals long.)`
`text(30 intervals)` | `= 60\ text(cm)` |
`:. 1\ text(grid interval)` | `= 2\ text(cm)` |
`text(Racquet head is 13 grid intervals high,)`
`:.\ text(Head width)` | `= 13 xx 2` |
`= 26\ text(cm)` |
This is a street map.
About how far is it from Matt's house to Ali's house?
`40\ text(metres)` | `100\ text(metres)` | `160\ text(metres)` | `200\ text(metres)` |
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`text(100 metres)`
`text(The distance between Matt and Ali’s house is)`
`text(about 2.5 times the width of the scale interval)`
`text(that is equal to 40 metres.)`
`:.\ text(Distance)\ ~~ 2.5 xx 40 ~~ 100\ text(metres)`
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)` |
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`450\ text(km)`
`text(Distance)` | `= 9 xx 50` |
`= 450\ text(km)` |