Visualising and representing

problem

Reef and Granny

Age

7 to 11

Challenge level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
problem

Putting Two and Two Together

Age

7 to 11

Challenge level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem

28 - Upward and Onward

Age

7 to 11

Challenge level

Can you find ways of joining cubes together so that 28 faces are visible?
problem

Folded Number Line

Age

7 to 11

Challenge level

When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
problem

Open Boxes

Age

7 to 11

Challenge level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
problem

Regular Rings 1

Age

7 to 11

Challenge level

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
problem

Regular Rings 2

Age

7 to 11

Challenge level

What shape is made when you fold using this crease pattern? Can you make a ring design?
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

Little Boxes

Age

7 to 11

Challenge level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
problem

Hexagon Transformations

Age

7 to 11

Challenge level

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!