Similarity
Using scale factor in problems
1
Two cups are mathematically similar.
The large cup holds 800ml.
Determine how much the small cup holds
3 Marks
Show Answer
172.8ml
2
Two canisters are mathematically similar.
The large canister has a volume of 64800 litres
Determine the volume of the small canister
3 Marks
Show Answer
13996.8 L
3
A company have produced 2 banners to advertise their game.
The banners are mathematically similar.
The area of the large banner is 2890 cm²
Calculate the area of the small banner.
3 Marks
Show Answer
40cm²
4
A comic book store sells two different sizes of action figures.
The figures are mathematicall similar.
The volume of the small figure is 32 cm³
Calculate the volume of the larger figure.
3 Marks
Show Answer
976.5625cm³
5
These two shapes are mathematicall similar.
The smaller shape has an area of 12 cm².
Calculate the area of the larger shape.
3 Marks
Show Answer
243 cm²
6
These two shapes are mathematicall similar.
The larger shape has a volume of 57 375 cm³
Calculate the volume of the smaller shape
3 Marks
Show Answer
136 cm³
7
These two shapes are mathematicall similar.
The larger shape has an area of 1200 cm²
Calculate the area of the smaller shape.
3 Marks
Show Answer
27 cm³
8
These two shapes are mathematicall similar.
The larger shape has an area of 540 cm³
Calculate the volume of the larger shape
3 Marks
Show Answer
6860 cm³
8
These two sculptures are mathematically similar.
Their cost is proportional to their volume
Calculate the price of the smaller sculpture
3 Marks
Show Answer
£135
