Mathematics is a medium for learning to think algorithmically, systematically and independently. Pupils will learn to draw on a range of techniques to solve multi-stage problems in a variety of contexts, and to apply higher order thinking across a range of contexts and disciplines. More importantly, pupils will get a glimpse of the underlying structure and observable patterns in the world around us. Mathematics is an important and highly regarded subject in its own right, but it is fundamental to many other undergraduate disciplines, notably Physics, Engineering and Economics. Other popular courses with a signiﬁcant mathematical element include Geography, Biology, Medicine, Management and Psychology.