Visualising and representing

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!
problem
Face painting

Age

7 to 11

Challenge level

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
Neighbours

Age

7 to 11

Challenge level

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
problem
Dodecamagic

Age

7 to 11

Challenge level

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?
problem
Child's play

Age

7 to 11

Challenge level

A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?
problem
Green cube, yellow cube

Age

7 to 11

Challenge level

How can you paint the faces of these eight cubes so they can be put together to make a 2 x 2 x 2 cube that is green all over AND a 2 x 2 x 2 cube that is yellow all over?
problem
Map folding

Age

7 to 11

Challenge level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
problem
Trace the edges

Age

7 to 11

Challenge level

On which of these shapes can you trace a path along all of its edges, without going over any edge twice?