### There are 9 results

Broad Topics >

Transformations and constructions > Scale factors

##### Age 14 to 16 Challenge Level:

Prove Pythagoras' Theorem using enlargements and scale factors.

##### Age 14 to 16 Challenge Level:

Explore the relationships between different paper sizes.

##### Age 11 to 14 Challenge Level:

What happens to the area and volume of 2D and 3D shapes when you
enlarge them?

##### Age 11 to 14 Challenge Level:

Explore the effect of combining enlargements.

##### Age 14 to 16 Challenge Level:

Can you find the missing length?

##### Age 14 to 16 Challenge Level:

We use statistics to give ourselves an informed view on a subject of interest. This problem explores how to scale countries on a map to represent characteristics other than land area.

##### Age 14 to 16 Challenge Level:

A right circular cone is filled with liquid to a depth of half its
vertical height. The cone is inverted. How high up the vertical
height of the cone will the liquid rise?

##### Age 11 to 16 Challenge Level:

From the information you are asked to work out where the picture
was taken. Is there too much information? How accurate can your
answer be?

##### Age 14 to 16 Challenge Level:

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?