The dimensions of the triangle shown are to be enlarged using a scale factor of 2.
Find the enlarged length of:
The dimensions of the triangle shown are to be reduced using a scale factor of \dfrac{1}{2}.
Find the reduced length of:
The dimensions of the triangle shown are enlarged using a scale factor of 3.1.
Find the new length of:
The dimensions of the triangle shown are reduced using a scale factor of 0.92
Find the new length of:
For the given similar figures, find the scale factor from the larger figure to the smaller figure:
Consider the following quadrilaterals:
Is quadrilateral A'B'C'D' an enlargement of quadrilateral ABCD?
Find the scale factor
For the given similar figures, the scale factor used to enlarge the smaller quadrilateral is 2. Find the length of FG.
The scale factor of these similar triangles is 4:5. Find:
The reduction factor
The enlargement factor
The scale factor of these similar figures is 14:5. Find:
The reduction factor
The enlargement factor
The ratio of the lengths of the corresponding sides in these similar figures is 1:4.
Find the scale factor from the smaller figure to the larger figure.
For the similar figures given, the scale factor used to enlarge the smaller quadrilateral is 4.5. Find the length of FG.
If an image is enlarged by 250\%, what will be the scale factor?
In the cartesian plane shown, is the larger triangle a dilation of the smaller triangle?
In the cartesian plane shown, is the smaller triangle a dilation of the larger triangle?
In the cartesian plane shown, is the smaller quadrilateral a dilation of the larger quadrilateral?
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 metres, the actual distance between two points if the map distance between the points is 8 mm.
On a house plan that has been drawn to a scale of 1:100, the building is drawn to a length of 158 mm. Find the actual length of the building.
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. How far apart on the map should two fountains be drawn if the actual distance between the fountains is 100 metres? Express your answer in centimetres.
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.
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.
