You should only need to remember a few treaty numbers..... 4 or 5 at most. You don't need the entire Treaty.
Don't you have the statute book in with you for exams? If so, just use those coloured sticky pieces of paper (check these are allowed almost always are) to mark relevant pages. If you need to use a statutory section or part of a Treaty in an exam in ever subject, trying to remember it is a really bad idea - you need to be familiar with and read and use the primary materials. Doing my best not to sound really patronising, this is a skill which you will soon develop when you start studying subjects like Family law and Company law, often people have difficulty when they first start with it so don't be concerned.
Best way to remember these things is to practice using the statute book. Have the book next to you and refer to it when you read cases/textbooks/practice exam questions or whatever. If you get used to referring to it you'll be able to find the relevant parts very quickly and this is what you will need to do in an exam.
Am not quite sure why you would be OK with statutes in general but have problems with the EC Treaty? Its exactly the same thing, albeit with a very slightly different style to most English statutes.
If you need a good textbook, try Hartley - Foundations of EU law and Barnard - The Four Freedoms when you come to study the Four Freedoms. Barnard is simply outstanding, best EU textbook ever. Hartley is good at making you understand stuff though do use a proper textbook after that.
Never heard of "intro to EU law". EU law is one of those rare subjects where the "standard" texts referred to again and again by the legal community (like Treitel for Contract) are actually good. Craig and De Burca is really excellent (though I'm not sure how up-to-date the latest edition is). Its a subject where it is worth getting a fairly long textbook IMO - might be worth an extended trip to the library.
If it all goes hopelessly wrong, you can avoid most of the Treaty entirely by concentrating on the Four Freedoms, Direct Effect/supremacy and one other subject such as remedies.... EU is a subject where you don't need to revise the whole course to be assured of being able to answer the necessary number of exam questions as the different topics are fairly self-contained. (n.b. check that these don't come within EU Law 2 or Advanced EU law or some such module at Kings)