Geometry, NAP-B4-CA22
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 |
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Aussie Maths & Science Teachers: Save your time with SmarterEd
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)` |
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`36`
`text(Total grid units travelled = 50)`
`:.\ text(S)text(cale)` | `= 1800/50` |
`= 36\ text{m (to 1 unit)}` |
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)` |
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 |
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`21.6\ text(km)`
`text(Actual distance)` | `=5.4 xx 4` |
`=21.6\ text(km)` |
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(km)`
`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)` |
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)` |
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)` |
Alison draws a scale map of Australia on a coordinate grid.
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)` |
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`text(400 km)`
`text(Mackay is 7.7 grid intervals away from Karratha.)`
`:.\ text(Scale value)` | `= 2950/7.7` |
`~~400` |