Compound transformations
problem
Favourite
Mirror, mirror...
Age
11 to 14
Challenge level
Explore the effect of reflecting in two parallel mirror lines.
problem
Favourite
...on the wall
Age
11 to 14
Challenge level
Explore the effect of reflecting in two intersecting mirror lines.
problem
Favourite
Who is the fairest of them all ?
Age
11 to 14
Challenge level
Explore the effect of combining enlargements.
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
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
Transforming the letters
Age
7 to 11
Challenge level
What happens to these capital letters when they are rotated through
one half turn, or flipped sideways and from top to bottom?
problem
2001 spatial oddity
Age
11 to 14
Challenge level
With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.
problem
Matching frieze patterns
Age
11 to 14
Challenge level
Sort the frieze patterns into seven pairs according to the way in
which the motif is repeated.
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?