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These GRANTA EduPack-based exercises are designed to guide discovery, provoke thinking and stimulate self-learning. There are relationships between material properties, some easily explained, others so complex that they are not yet fully understood. Exploring relationships between material properties brings a deeper understanding of the physics that underlies the properties themselves. And it brings a "feel" for material property-values, valuable to engineers and designers, giving them a sense of when material property-values should be questioned and an ability to estimate property-values when no direct measurements are available. The exercises are in 4 groups, each group centred on one of the top-level data-tables in the GRANTA EduPack Materials Science and Engineering (MS&E) database.