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[Spinoff of http://bugs.python.org/issue3559]
If you manage to type several simple statements into the prompt (by copy-pasting them, using Ctrl+J, or creative deletion), IDLE runs the first one and silently ignores the rest:
>>> x = 1
x = 2
>>> x
1
Moreover, it doesn't even parse the additional lines:
>>> x = 3
$@syntax error?!
>>> x
3
If the first statement is a compound statement, IDLE refuses with a SyntaxError at the begging of the second statement:
>>> def f():
	return 42
f()
SyntaxError: invalid syntax
I believe in both cases the right least-surprise behavior is to run all statements.
If not, a clear error explaining that IDLE doesn't support multiple statements must be printed. But I can't see a reason to choose this over making it Just Work.
[Implementation: might or might not be related to http://bugs.python.org/issue7741]