Compound transformations

problem
Favourite

Twice as Big?

Age

7 to 11

Challenge level

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
problem
Favourite

Mirror, Mirror...

Age

11 to 14

Challenge level

Explore the effect of reflecting in two parallel mirror lines.
game
Favourite

Transformation Game

Age

11 to 14

Challenge level

Why not challenge a friend to play this transformation game?
problem
Favourite

...on the Wall

Age

11 to 14

Challenge level

Explore the effect of reflecting in two intersecting mirror lines.
$Who \is the \fairest of \them \all ?$

problem
Favourite

Who Is the Fairest of Them All?

Age

11 to 14

Challenge level

Explore the effect of combining enlargements.
problem

Sine Problem

Age

16 to 18

Challenge level

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.
problem

Screwed-Up

Age

11 to 14

Challenge level

A cylindrical helix is just a spiral on a cylinder, like an ordinary spring or the thread on a bolt. If I turn a left-handed helix over (top to bottom) does it become a right handed helix?
problem

Counting Triangles

Age

11 to 14

Challenge level

Triangles are formed by joining the vertices of a skeletal cube. How many different types of triangle are there? How many triangles altogether?
problem

Transformations Tables

Age

7 to 11

Challenge level

These grids are filled according to some rules - can you complete them?
problem

Rots and Refs

Age

16 to 18

Challenge level

Follow hints using a little coordinate geometry, plane geometry and trig to see how matrices are used to work on transformations of the plane.