Long Post, Be Warned
Your goal shouldn't be introduced within the first five pages, or even the first chapter. That is completely misleading, and often impossible to do.
Theme is what you're talking about. Your theme should be introduced within the first chapter, preferably the first five pages. Your theme is the opposite of your character's fatal flaw.
In Harry Potter, Harry has no idea what the fuck he wants in the first chapter. He has no goal. He's just cooking for the Dursleys and being miserable. However, you see the abuse he suffers at their hands, his loneliness, etc... What are the themes of Harry Potter? Friendship, trust, family, love, all of which Harry doesn't have in the first chapter. He doesn't even know he wants them. But the reader knows.
Now, I haven't read Harry Potter in a long time, so someone can correct me if I'm wrong, but he doesn't get a goal until the end of the first act. That's when you introduce a goal and break into the second act. And your goal can warp, develop, grow, change, whatever... He wants to stop Snape from getting the stone. But there are a bunch of mini goals leading up to that. And, as we develop the goal, the theme progresses. I have to say, for all the issues I have with HP, Rowling set that shit up pretty masterfully.
Then there's Looking for Alaska. It has the same set-up. Miles is a lonely loser with no friends. What is the theme? Family, friendship, love, death. All introduced within the first chapter. Note that I'm skipping the prologues in both books. HP doesn't start until we get into Mr. Dursley's head. LfA doesn't start until Miles gets to the school.
Now, I don't want to spoil LfA, so whoever hasn't read it, look away.
Good. Now, Miles' goal is not fucking/kissing Alaska, or even getting her to love him. He's never actively pursuing that. Sure, he wants her, but it's not a big deal in terms of novel development. Even when she was dead, his big concern was being the only person she'd ever loved. He wanted someone to make him feel unique, wanted, etc... His goal was more subtle. It was literally, looking for Alaska. He wanted to find out what made her tick, and in that way, he would "own" her. The sexual aspect was completely secondary. And, while he never accomplished the goal (remember, getting the goal isn't necessary, after all, Harry never completed his goal in HP, and Frodo never exactly completed his goal in LoTR) the theme was stated, wrapped up, and completed. His character arc was done. A goal only drives the story, but it doesn't need to complete. It's not necessary to complete a goal to satisfy your reader. It's only there so your story isn't static. The theme is what you need to state and finish, otherwise, your story is incomplete.
And, while I'm at it, here's one more example. In the Astonishing Adventures of Fanboy and Goth Girl, the goal isn't introduced until 10,000+ words in. I've counted. The theme, however, is hammered into the reader's head. In fact, I kind of wanted Lyga to stop being so obvious and get on with the fucking story. Too much theme repetition, and you've got a dull story that only serves as a patronizing message book.
In a lot of books, your character might have the worst goal ever. How to Be Popular, by Meg Cabot, has the most superficial goal ever. Be popular. But the first act is brilliant. Once again, the character doesn't complete her goal, but she does complete her arc and the theme (while rather anvilicious) wraps up. In fact, a lot of chick-lit books are like that. The character realizes she doesn't want her goal because it kind of sucks, or she buried her true goal under a bunch of stupid shit. I don't like chick-lit, but if there are two movies/books you should read to get a good idea of the difference between theme and goal, they're The Devil Wears Prada and Legally Blonde. Perfect character arcs, simple themes, solid goals.
I don't advocate following a beat sheet like it's your god, but if you have a problem with structure, you might want to check one out:
http://www.lizwritesbooks.com/2011/04/save-cat-beat-sheet-spreadsheet-for.html
Save the Cat is useful if you have a problem with pacing.