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# Cubes

### Up and Down Staircases

### Brush Loads

### Cubes Here and There

### Picture a Pyramid ...

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Cubes are really useful for all sorts of maths. They can help you understand many different topics from number to surface area and they can even help you become better at problem solving. Pretty impressive! Have a go at these activities which all make use of cubes.

Age 7 to 11

Challenge Level

One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

Age 7 to 11

Challenge Level

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Age 7 to 11

Challenge Level

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?

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?