There are several synonyms that can be used instead of the phrase "he ran a rapid eye over the papers". Some examples include:
- He quickly scanned the documents.
- He briefly perused the pages.
- He rapidly glanced through the papers.
- He speedily skimmed the pages.
- He rapidly reviewed the documents.
- He quickly assessed the papers.
- He briefly looked through the pages.
- He rapidly inspected the documents.
- He swiftly checked over the papers.
- He rapidly examined the pages.
Overall, there are many ways to convey the same idea, and choosing the right synonym can help add variety and interest to your writing.