Use your three cubes every time, and see how many different ways there are to arrange them. 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. 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? Each cube has six faces of the same number. How can you be sure this is the highest total whatever the shape? This challenge invites you to explore the difference in the number of small cubes I’ve used. Suppose there is a train with 24 carriages which are going to be put together to make up some new trains.

Building Blocks Age 7 to 11 Challenge Level: This activity is best done with a whole class or in a large group. Then I looked at the next 3 faces. How many extra pebbles are added each time? To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. The way I did it is I imagined it was a cube, and I put them where they would go.

To support this aim, members of the NRICH team nrrich in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Can you make them to check whether you had imagined them correctly? In the second example, I can see eight faces – one at each end, then three lots of two faces. Mr Smith and Mr Jones are two maths teachers.

Can they make any other lines? To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Register for our mailing list. Although there is only one cube, its net can be drawn in nrihc ways. Put them down on the table, either separately or together.

# Numbers and the Number System :: Cube numbers :

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Face Painting 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. This article takes a closer look at some of the toys and games that can enhance a child’s mathematical learning. This challenge is to design different step arrangements, which must go nricn a distance of 6 on the steps and must end up at 6 high. Arrange your fences to make the largest rectangular space you can. Complete the magic square using the numbers 1 to 25 once each.

Register for our mailing list. Then I looked at the next 3 faces.

Watch out – they become quite complicated! These two group activities use mathematical reasoning – one is numerical, one geometric. This activity is best done with a whole class or in a large group. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Even and Odd Age 5 to 7 Challenge Level: 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.

Are they sticks, rectangles or squares? And I got it right.

## A Puzzling Cube

By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in Cubes are really useful for maths. All 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level: Are there any other ways in which I could have arranged the cubes? Can the highest proboem be found in more than one way?

Here is her work: What shapes can you find to use? Age 5 to 7 Challenge Level: If the circle was on the side the other symbol would be at the side. Using any shape of single cube thickness, what is the highest total you can make?