Rotations

problem
Animated triangles

Age

5 to 7

Challenge level

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
problem
Notes on a triangle

Age

11 to 14

Challenge level

Can you describe what happens in this film?
problem
Flip

Age

7 to 11

Challenge level

Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
problem
Interpenetrating solids

Age

16 to 18

Challenge level

This problem provides training in visualisation and representation of 3D shapes. You will need to imagine rotating cubes, squashing cubes and even superimposing cubes!
problem
Arrow arithmetic 1

Age

14 to 16

Challenge level

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.
problem
Shape mapping

Age

7 to 11

Challenge level

What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?
problem
Rearrange the square

Age

5 to 7

Challenge level

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?
problem
Peg rotation

Age

7 to 11

Challenge level

Can you work out what kind of rotation produced this pattern of pegs in our pegboard?
problem
Turning man

Age

5 to 7

Challenge level

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
problem
...on the wall

Age

11 to 14

Challenge level

Explore the effect of reflecting in two intersecting mirror lines.