How will I remember all the quotes I need for the exam from each book or play?

First of all, you need to remember that no one can memorise a whole book, and you are certainly not expected to. 

What you need to do is be tactical about what you learn. What I mean by this is that you need to pick out the main characters and themes from the book and then find around 6 quotes that relate to these; the quotes should be under 10 words. The best way to organise this is my making A4 sheets of paper with your theme or character's name written at the top and then your quotes underneath.

However, you can't stop there. You need to make sure these are the right quotes to be learning! So on your sheet of paper start analysing them; annotate around each one.

Some ideas of what you need to be thinking of when annotating are: language and the effect it is creating; features such as similes, metaphors, alliteration, siblance etc with, again, the effect created; structure, as in how does your quote fit into the book at large or consider the length of the sentence.

Once you have your analysis for 6 quotes, all you need to do is memorise the quotes and the analysis so that when you go into the exam, all you will have to do is write it all out!