## NRICH PROBLEM SOLVING CUBES

Can they make their lines the same length? They can help you understand many topics and they can help you get better at problem solving. Can you match the cards? Kyle and Allyssa from Oakwood Junior School both tried out their ideas on paper before drawing these nets: Four Colours Age 5 to 11 Challenge Level: New House Age 7 to 11 Challenge Level: This feature brings together tasks which make use of interlocking cubes.

Well done to all of you. Here are more buildings to picture in your mind’s eye. Have a go at using your imagination to visualise how many I can see, and try making these arrangements yourself to check your answers. Can they make their lines the same length? 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 Building Blocks Age 7 to 11 Challenge Level:

## Arranging Cubes

An investigation involving adding and subtracting sets of consecutive numbers. Train Carriages Age 5 to 11 Challenge Level: This challenge involves eight three-cube models made from interlocking cubes. 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.

Problem Getting Started Solution Teachers’ Resources You may also like Consecutive Numbers An investigation involving sloving and subtracting sets of consecutive numbers.

# A Puzzling Cube :

This project challenges you to work out the number of cubes hidden under a cloth. In this investigation, you must try to make houses using cubes.

Which rod is twice the length of his first rod? Bronya from Tattingstone School describes how she went about solving the puzzle: How many cubes of each colour have we used? Some Cubes Age 16 to 18 Challenge Level: What are these numbers? We need to wrap up this cube-shaped present, remembering that we can have no overlaps.

This article takes a closer look at some of the toys and games that can enhance a child’s mathematical learning. Register for our mailing list.

Investigate the area of ‘slices’ cut off this cube of cheese. How many cubes of each colour have we used? How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them?

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 probleem our mailing list.

Are there any other ways in which I could have arranged the cubes?

We’ll only use these. All 5 to solvinb 7 to 14 11 to 16 14 to 18 Challenge level: Try with other numbers of cubes as well.

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. In the third example, I can see ten faces – there are two lots of five faces.

For example, I could turn the second arrangement so that the red cube is pointing to the left instead – would this count as a different arrangement? Put them down on the table, either separately or together.

Well done to all of you. Using any shape of single cube thickness, what is the lowest total you can make? Penta people, the Pentominoes, always build their houses from five square rooms. Kate has eight multilink cubes. Chairs and Tables Age 5 to 7 Challenge Level: Suppose there is a train with 24 carriages which are going to be put together to make up some new trains.

You may also like Cubes How many faces can you see when you arrange these three cubes in different ways? Christmas Presents Age 7 to 11 Challenge Level: