My DD wants to do pure mathematics for her undergrad. So I was looking at following league tables (filtered for mathematics): QS, THE, Shanghai, Guardian, TheCompleteUniversityGuide.
I see that they significantly differ in terms of the ranking for some universities. For example, St Andrews has world ranking 100 and 165 respectively for QS and THE; Shanghai does not even list it. In comparison, Imperial is 9th in both of them and 18th in Shanghai. However, in Guardian and TCUG, story is totally different. St Andrews is 3rd in UK in both, while Imperial is 8th and 9th resp. I am not concerned about absolute rank; but on the ordering between them - of course, with some acceptable randomness.
How should I make sense of this? Is this due the perspective difference between international and domestic students?