### There are 16 results

Broad Topics >

Transformations and constructions > Enlargements and scale factors

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

Using a ruler, pencil and compasses only, it is possible to
construct a square inside any triangle so that all four vertices
touch the sides of the triangle.

##### 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 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:

Can you find the missing length?

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

Explore the relationships between different paper sizes.

##### 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?

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

Arrow arithmetic, but with a twist.

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

The first part of an investigation into how to represent numbers
using geometric transformations that ultimately leads us to
discover numbers not on the number line.

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

How can you use twizzles to multiply and divide?

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

Introduces the idea of a twizzle to represent number and asks how
one can use this representation to add and subtract geometrically.

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

Explain how the thirteen pieces making up the regular hexagon shown
in the diagram can be re-assembled to form three smaller regular
hexagons congruent to each other.

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

Prove Pythagoras' Theorem using enlargements and scale factors.

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

Why not challenge a friend to play this transformation game?

##### 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:

L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?