Exam problems back to and including 2013 are, with a few exceptions, still relevant for the course. Before 2013 the curriculum was substantially different, and I do not recommend working on the problems for the period 2010-12 (if you need more problems, take a look at the mandatory assignments instead, or some of the extra problems that were given in the 2019 version of the course).
After 2012, the only problems outside this years curriculum seem to be problems involving Fubini and Tonelli's theorems on product measures (I gave a quick introduction to these theorems omitting the proofs, but they are not part of the official syllabus). There are also a few instances of terminology and notation that you are probably not familiar with. Here is what I found (I may have missed a few things!):
Exam 2016, Problem 1: We have not used the term "bootstrapping", but in this setting it just means that you prove the formula step by step, first for simple functions, then for positive measurable functions, and finally for integrable functions.
Exam 2015: Problem 1 requires Tonelli's Theorem. The notation also differs a little from what we are used to: In Problem 4, \(Im(B)\) denotes the image of the operator \(B\), and \((x|y)\) denotes the inner product of \(x\) and \(y\).
Exam 2014, Problem 2: Requires Fubini's Theorem.
Exam 2013, Problem 1: The space \(l^{\infty}(X)\) is defined slightly differently from what we are used to, but that shouldn't really matter.