Compound transformations

problem
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
Square tangram

Age

7 to 11

Challenge level

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
problem
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
Making rectangles, making squares

Age

11 to 14

Challenge level

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
problem
Bow tie

Age

11 to 14

Challenge level

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
problem
...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
Who is the fairest of them all ?

Age

11 to 14

Challenge level

Explore the effect of combining enlargements.
problem
Which quadratic?

Age

14 to 18

Challenge level

This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
problem
Squaring the rectangle

Age

14 to 18

Challenge level

Can you find a way to turn a rectangle into a square?