Ok, I got 97% in the test and got into some top 10 programs and this is my take on the test. I assume you have taken a course in real analysis at the level of Rudin's Principles, a basic course in topology and a course in abstract algebra? I would recommend the following reading (and doing most problems):
1. Dummit and Foote, Abstract Algebra Part I-II
2. Munkres, Topology, Chapters 1-3
Then you need to hammer daily on exercises from your thick Calculus brick. You need to be able to do integrals and solve basic differential equations in your sleep -- the test is mostly about speed as you probably know. Another option for topology is going through the first 30 pages or so of Bredon's Geometry and Topology, but I would recommend this only if you actually understand topology and just need to remember the details (it does in 50 pages what Munkres does in a few hundred, then jumps to algebraic topology).
For Lebesgue theory, it would be a good idea to read up to chapter 4 of Royden's Real Analysis. It also covers some interesting set theory regarding the axiom of choice that has actually been on the test a few times. This is a tougher text though if you haven't seen the math before. However, you should be able to do most possible test problems requiring Lebesgue theory by just remembering when a Riemann integral equals a Lebesgue integral and when you can exchange integrals and limits under Lebesgue theory (the exercises are always about changing to Lebesgue, doing the limit, converting back to Riemann plus they're usually trivial if you know this).
Finally, as you said the test is about tricks (at least to some extent). One of the tricks is to be able to come up with counterexamples quickly in order to eliminate answers. This means that you need to make a list of topological spaces, algebraic structures and functions with some "special" properties. These are often mentioned in text books as "canonical" examples. These examples should be memorized so well that you can immediately recognize them when they show up.
You should also think about general principles of how you should do certain classes of problems as fast as possible. For example when checking if something is a vector space, it's often fastest to first check if it has a zero element. This means that you should not test additivity first, because it generally takes more time. This also applies to abstract algebra where certain axioms are always quicker to check. You should think about the right order for all possible structures on the test and get your brain wired to automatically do the problems in this order.
I wrote myself with LaTeX a 10 page list of basic formulas and examples for matrices, eigenvalues, determinants, traces, differential equations, integrals, power series, topological spaces, algebraic structures and theorems that should be remembered. I was only able to spend about two weeks in total doing full time studying for the exam and spent most days just staring at the list and it proved to be a pretty effective approach.