Really are there in the exam questions about AWT (TextField, Graphics -paint(), repaint() etc..-, MenuItems etc..) ? are direct questions or lateral? How many? anybody knows? In the exam objetives only says about lay out managers not other things of AWT.
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As for your question, you will only be tested on the things listed in the objectives if there is no mention of something in the objectives then it's not on the test.
The 1.2 objectives say: Write code using component, container, and LayoutManager classes of the java.awt package to present a Graphical User Interface with specified appearance and resize behavior, and distinguish the responsibilities of layout managers from those of containers � Write code to implement listener classes and methods, and in listener methods, extract information from the event to determine the affected component, mouse position, nature, and time of the event � State the event classname for any specified event listener interface in the java.awt.event package So based on item one you should know all the container and component classes as well as the layout managers.