William recorded a video on his camera. When viewing it on the camera screen, the video appeared in a width to length ratio of 4:3 respectively.
When he uploaded to his computer, everything appeared wider in the video. If the width of the video on the computer was 20 cm, what was the length?
Express the following scales as simplified ratios:
1 cm represents an actual distance of 240 cm.
1 cm represents an actual distance of 2 km.
3 cm represents an actual distance of 9 m.
5 cm represents an actual distance of 30 km.
60 mm represents an actual distance of 5400 m.
98 mm represents an actual distance of 9.8 km.
A map has been drawn to a scale of 1:7000.
Find, in millimetres, the actual distance between two points which are drawn 8 \text{ mm} apart on that map.
Find the distance in metres between the two points from part (a).
On a house plan that has been drawn to a scale of 1:100, the building is drawn to a length of 158 \text{ mm}.
Find, in millimetres, the actual length of the building.
Find the actual length of the building in metres.
A commercial plane measuring 66 metres long is to be represented on a scale model with a scale of 1:100. Find, in metres, the length of the plane in the scale model.
The scale on a map of a garden is 1:2000. The actual distance between the fountains is 100 \text{ m}.
Find the actual distance between the two fountains in centimetres.
Find the distance in centimetres between the two fountains as points on the map.
Bianca is looking over a map of her local area and notices that the scale of the map is given as 1:100 in the map legend.
Find the actual distance (in centimetres) between two points which are drawn 12 cm apart on that map.
Find the distance in metres between the two points from part (a).
Given that the scale on a map is 1:25\,000, find the actual distance between two points which are drawn 14 cm apart on the map in the following units:
Centimetres
Kilometres
The scale on a map is 1:400\,000. How far apart on the map should two train stations be drawn if the actual distance between the stations is 100 km? Express your answer in centimetres.
Consider the elephant picture which is next to a centimetre ruler. The scale of the picture to a real elephant is 1:100.
Find the height of the real elephant in metres.
Consider the picture of a goldfish next to a centimetre ruler. The scale of the picture to a real goldfish is 2:1.
Find the length of the real goldfish.
Consider the house floor plan below:
Use the scale to find the width (horizontal) and length (vertical) of the Kitchen.
Calculate the total floor area of the house.
Consider the given floor plan:
According to the scale of the diagram, 1 cm on the diagram represents how many metres in the house?
Using a ruler, Neville measures the length of Bed 1 on the plan and finds it to be 4 cm. How many metres does this represent?
Using a ruler, Neville measures the width of Bed 1 on the plan and finds it to be 8 cm. How many metres does this represent?
Neville wants to tile the floor of Bed 1. If each tile is 20 cm by 10 cm, how many tiles would Neville need?
If each tile weighs 200 grams, calculate the total weight of the tiles in grams.
Due to building regulations the total weight of the tiles cannot be more than 325 kilograms. Convert your answer from part (e) to kilograms and determine if Neville will be able to use these tiles on the floor.
On the map, the area shaded pink represents the Dominican Republic. According to the scale given, estimate the actual area of the Dominican Republic.
Koala airlines has a simplified scale map of Australia which shows the cities it flies between. The the distance flown from Adelaide to Brisbane is 1600 km.
Estimate the real distance the scale bar represents to the nearest 100 km.
The following is a 1:58\,000 scale drawing of the sailing route from the mainland to an island off the coast. The captain approximates the distance to be 15.3 cm on the map. Estimate the distance in kilometres of the boat trip.
