Google Forms will do that for you. You can convert a Form to a "self-grading" Form.

You no longer need to get Add-Ons. We used to use Flubaroo with Forms until Google introduced self-grading Forms.

The feature works with Forms, not Docs.

The feature allows you to ask questions, create an answer key, assign points to each question, and either release grades immediately to students, or at a later date. There are some new features too. You can now add links to resources for questions students get wrong. You can use the links to send students to the Web for additional help, or even to your own Google Docs, as a review of what they've studied. Plus, you can add personal comments to individual students, and you can hand score individual questions for specific students - great for special needs students or those who have been absent, etc.

You can also add images as part of the question, or you can add them as answer choices (distractors).