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.
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?
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.
Can you find the missing length?
Explore the relationships between different paper sizes.
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?
Arrow arithmetic, but with a twist.
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.
How can you use twizzles to multiply and divide?
Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.
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.
Prove Pythagoras' Theorem using enlargements and scale factors.
Why not challenge a friend to play this transformation game?
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Explore the effect of combining enlargements.
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?