Translations

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

Symmetric Trace

Age

14 to 16

Challenge level

Points off a rolling wheel make traces. What makes those traces have symmetry?
problem

Knights Moving

Age

16 to 18

Challenge level

Can you swap the black knights with the white knights in the minimum number of moves?
game

Penta Play

Age

7 to 11

Challenge level

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.
problem

Transformation Tease

Age

7 to 11

Challenge level

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
problem

It's Times Again

Age

7 to 14

Challenge level

Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!
problem

Central Distance

Age

11 to 14

Challenge level

Weekly Problem 1 - 2006
The diagram shows two circles enclosed in a rectangle. What is the distance between the centres of the circles?
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

Combining Transformations

Age

11 to 14

Challenge level

Does changing the order of transformations always/sometimes/never produce the same transformation?
problem

Rectangle Dissection

Age

11 to 14

Challenge level

Weekly Problem 2 - 2009
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?