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Cubes

Up and Down Staircases
problem
Favourite

Up and Down Staircases

Age
7 to 11
Challenge level
filled star empty star empty star
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?
Brush Loads
problem
Favourite

Brush Loads

Age
7 to 11
Challenge level
filled star empty star empty star

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.

Cubes Here and There
problem

Cubes Here and There

Age
7 to 11
Challenge level
filled star empty star empty star
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?
Picture a Pyramid ...
problem
Favourite

Picture a Pyramid

Age
7 to 11
Challenge level
filled star filled star empty star

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?