### NRICH PROBLEM SOLVING CUBES

Each cube has six faces of the same number. Let’s Face It In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match. Here are some of my arrangements:. How can you paint the faces of these eight cubes so they can be put together to make a 2 x 2 cube that is green all over AND a 2 x 2 cube that is yellow all over? Register for our mailing list.

Some of these models have green cubes that “hang-over” and for this challenge, we’ll decide not to use these. How many extra pebbles are added each time? Nine Colours Age 11 to 16 Challenge Level: I have forgotten the number of the combination of the lock on my briefcase. Two on Five Age 5 to 11 Challenge Level: Can you make them to check whether you had imagined them correctly? Have a go at these activities, which all involve interlocking cubes.

# Six Numbered Cubes :

Martha, also from Tattingstone, made up a cube from the net before deciding which face the shapes were on. Well done to all of you. Can you create more models that follow these rules? Register for our mailing list.

cubees Are they sticks, rectangles or squares? Making Sticks Age 5 to 7 Challenge Level: It might help to write or draw each arrangement to keep track of the ways that you have already tried.

Can you do it in more than one way? What shapes can you find to use? Register for our mailing list. New House Age 7 to 11 Challenge Level: A 3x3x3 cube may be reduced to unit cubes in six saw cuts. Are there any other ways in which I could have arranged the cubes? The one on the right is NOT allowed as it is two bricks thick in parts.

Here are more buildings to picture in your mind’s eye. How many extra pebbles sopving added each time? How many faces can you see each time? Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube.

Which rod is twice the length of his first rod? Next, take two of the cubes.

# Numbers and the Number System :: Cube numbers :

Each year they grow another cube in any direction. How many different towers can you make? This activity is best done with a whole class or in a large group. First I drew the first three faces of the cube as a net:.

I have forgotten the number of the combination of the lock on my briefcase.

Watch out – they become quite complicated! How many other arrangements of four cubes can you find?

## Arranging Cubes

This challenge involves eight three-cube models made from interlocking cubes. We need to wrap up this cube-shaped present, remembering that we can have no overlaps.

Finally, take all three of the cubes. Are they sticks, rectangles or squares? Multilink Cubes Age 7 to 11 Challenge Level: Chairs and Tables Age 5 to 7 Challenge Level: Can you see any patterns?

Tipperary, Ireland wrote to tell us: Forgotten Number Age 11 to 14 Challenge Level: