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Nitpicking here: The Mortarboard badge description says:

Earn at least 200 reputation (the daily maximum) in a single day.

Given you can't earn more than 200 points, wouldn't it be less confusing to simply say,

"Earn 200 reputation in a single day"

or, "Earn the daily maximum reputation"?

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    $\begingroup$ Take a look at my rep history for examples of the below in action. Most I managed in one day was 285 and popped above the 200 a few times after that. $\endgroup$ – Snow Jan 18 '17 at 15:40
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There are actually multiple ways to surpass this 200 rep limit, each with different results:

Earning more than 200 rep with upvotes and such, you can surpass the 200 rep limit. You will only get a maximum of 200 rep attributed to your overall rep, but if you do donwvote - or get downvoted, you will still be in the green.

Any rep earned through rewards also does not count against the 200 rep limit.

Have a look at this question on the SE Meta: How does "Reputation" work?

Non-exhaustive quoting of the list from the referred SE Meta question:

You gain reputation when:

  • one of your questions is voted up/useful: +5
  • one of your answers is voted up/useful: +10
  • one of your answers becomes accepted: +15
  • you accept an answer written by someone else to one of your own questions: +2
  • a downvote on one of your questions or answers is removed: +2
  • you suggest an edit and it is accepted: +2
  • you remove a downvote from an answer: +1
  • an answer you downvoted is removed: +1
  • one of your answers is awarded a bounty by the user offering the bounty: + full bounty amount
  • one of your answers is awarded a bounty automatically: +½ of the bounty amount (see bounty FAQ for details)
  • you associate accounts of two or more Stack Exchange network sites, and at least one of those accounts already has 200 or more reputation: +100 on each site (awarded a maximum of one time per site)

You lose reputation when:

  • one of your questions or answers is voted down/not useful: −2
  • a post where you had successfully suggested an edit has been deleted (reputation page shows the cause as “removed”): −2
  • the account of a user who was the final approver of a suggested edit you made has been deleted (reputation page shows the cause as “User was removed”): −2
  • you vote an answer down/not useful: −1
  • an upvote on one of your questions is removed: −5
  • an upvote on one of your answers is removed: −10
  • one of your accepted answers loses accepted status: −15
  • you unaccept an answer written by someone else to one of your own questions: −2
  • you place a bounty on a question: − full bounty amount

Additionally:

  • You can earn a maximum of +200 reputation from upvotes and suggested edits in any given day. Bounties and the bonuses for accepted answers are counted separately (source). Reputation “lost” from the reputation cap is not awarded on following days.
  • Voted-up comments do not affect reputation.
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    $\begingroup$ You might want to specify what the "rewards" are - accepting an answer or having your answer accepted, as well as earning a bounty. $\endgroup$ – HDE 226868♦ Jan 18 '17 at 14:26
  • $\begingroup$ @HDE226868 good point there, I hope this does the trick $\endgroup$ – dot_Sp0T Jan 18 '17 at 14:50
  • $\begingroup$ But do they count towards the Mortarboard badge? I was under the impression only up/downvotes and accepted answers counted. That way, if you earned 201 but lost 4, it would disqualify you. $\endgroup$ – nzaman Jan 18 '17 at 18:39
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    $\begingroup$ Not all of those count for Mortarboard, though. For example, you can't save up your acceptances and the +2s they give you to "top off" a day when you're near 200 in hopes of getting Mortarboard -- doesn't work. $\endgroup$ – Monica Cellio Jan 18 '17 at 19:59
  • $\begingroup$ I'll update this with a definitive list as soon as I can manage to grab me a break at work $\endgroup$ – dot_Sp0T Jan 19 '17 at 7:45
  • $\begingroup$ Take your time, I'm not in any hurry to close this ;-). Anyway, you're the only one who's answered $\endgroup$ – nzaman Jan 19 '17 at 12:40

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