Visualising and representing

problem

28 - Upward and Onward

Age

7 to 11

Challenge level

1 out of 3

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

Folded Number Line

Age

7 to 11

Challenge level

1 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

Face Painting

Age

7 to 11

Challenge level

2 out of 3

You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.
problem

Dodecamagic

Age

7 to 11

Challenge level

2 out of 3

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?