This activity was designed for the 2016 National Young Mathematicians' Award (NYMA) so it might be a particularly useful activity for a small group of your highest-attaining pupils to work on. (For more information about the NYMA, see this brief article which is part of this feature.) This task is a useful vehicle for developing systematic approaches. It can be used as an activity to encourage children to explain in written or spoken words what it is they have done.
Since this activity is aimed at the most confident mathematicians, there will not be much that you have to do to introduce it. However, it would be worth making the first open box and encouraging the pupils to discuss their different ways of answering the first challenge.
Working as a team of four pupils with 32 cubes for them to use for the remaining challenges encourages a very thoughtful and systematic approach.
You may find this double-sided sheet of the challenge useful for printing and giving out to learners: pdf or Word document
Tell me about how you are getting a solution for the challenge you are working on.
(When encouraging the pupils as they work on the task, try to avoid saying things about what you notice and directing them in your way of attempting a solution.)