2D representations of 3D shapes

problem
Weird universes

Age

16 to 18

Challenge level

Consider these weird universes and ways in which the stick man can shoot the robot in the back.
problem
A city of towers

Age

5 to 7

Challenge level

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
problem
The third dimension

Age

5 to 11

Challenge level

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
problem
New house

Age

7 to 11

Challenge level

In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
problem
Building blocks

Age

7 to 11

Challenge level

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?
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
Guess what?

Age

7 to 11

Challenge level

Can you find out which 3D shape your partner has chosen before they work out your shape?
problem
Three cubed

Age

7 to 11

Challenge level

Can you make a 3x3 cube with these shapes made from small cubes?
problem
Picture a pyramid

Age

7 to 11

Challenge level

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
problem
Arranging cubes

Age

7 to 11

Challenge level

A task which depends on members of the group working collaboratively to reach a single goal.