The problem cards have been designed for students to use in conjunction with the main work described in the teachers' guide. It is intended that students should at least be able to 'have a go' at most of the questions, but they should also be encouraged to think round a problem and to devise alternatives and generalisations.
The purple pack contains thirty-five problems which are intended to be more challenging than the green set of problems but not as challenging as the red set of problems. This resource contains the problems cards and the teacher’s guide containing the solutions and discussion which could lead to creative follow-up work.
The problems could lead to uses and discussions of the following mathematical topics: sets, triangle numbers; regions, edges and nodes; Pythagoras’ theorem, square numbers, number problems, cardinal numbers, square roots, sets, logic, networks, hexominoes, symmetry, mappings and arithmagons.