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
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
Decoding transformations
Age
11 to 14
Challenge level
See the effects of some combined transformations on a shape. Can
you describe what the individual transformations do?
problem
Triangular tantaliser
Age
11 to 14
Challenge level
Draw all the possible distinct triangles on a 4 x 4 dotty grid.
Convince me that you have all possible triangles.
problem
Combining transformations
Age
11 to 14
Challenge level
Does changing the order of transformations always/sometimes/never
produce the same transformation?
problem
Flight of the Flibbins
Age
11 to 14
Challenge level
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to the new planet?