Explanation:

- Shall you pass: This phrase is awkward in modern English. "Shall" is typically used with first person subjects for future intentions or offers, not in direct requests.

- Option 1: Shall pass you: This is incorrect as it lacks a subject and rearranges words incorrectly without improving the sentence.

- Option 2: Can you pass: This is a polite and common way to request someone to hand you an item. "Can you" asks for the ability to perform the action, which is appropriate here.

- Option 3: Could passing you: This structure is grammatically incorrect and incomplete. "Could" would require to be followed by "you pass", not "passing you".

- Option 4: No improvement required: The original phrase is not the best choice as it is not commonly accepted for polite requests.