Both verbs may mean ‘look again at something you have studied in order to prepare for a test or an exam’. ‘Revise’ is used in British English, while ‘review’ is used in North American English.
- The vocabulary test is tomorrow and I haven’t revised the spelling rules yet.
- The vocabulary test is tomorrow and I haven’t reviewed the spelling rules yet.
However, both verbs have other meanings as well.
REVISE
change your opinion or plans because you have got some new information
- Having seen crime rates soar in Gotham City, Batman may need to revise his strategy.
change something to improve or correct it
- This is the third and revised edition of our textbook.
REVIEW
consider something again to decide if you need to make changes
- Police will review the situation later this year.
write a report of a book, film etc.
- My first book has just been reviewed in the Guardian.
think about past events to understand why they happened
- When I turned forty, I reviewed all my past triumphs and failures.