I think Annabeth belongs in Ravenclaw. Here's why.
1.) Knowledge is very important to her. One of her more famous quotes is "Athena always has a plan." This proves that knowledge is important to her.
Why she doesn't belong in other houses.
Gryffindor- even though she's very prideful and brave, she values smarts more.
Hufflepuff- instead of hard working, she'll instead try to make a way which she will have to do no work while a person or device does it for her. She's just that smart.
Slytherin- She's very cunning and ambitious, though she would fit into a specific house more.
Logging of because I'm really tired,
- The queen of all single pringles