Compound transformations
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?
problem
Simplifying transformations
Age
11 to 14
Challenge level
How many different transformations can you find made up from
combinations of R, S and their inverses? Can you be sure that you
have found them all?
problem
Square to l
Age
7 to 11
Challenge level
Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
problem
Midpoint triangle
Age
7 to 11
Challenge level
Can you cut up a square in the way shown and make the pieces into a
triangle?
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?