Year 9 Working systematically

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Can you make sense of information about trees in order to maximise the profits of a forestry company?

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?