Strong acids: perchloric, hydrochloric, hydrobromic, hydroiodic, sulfuric (first Ka), and nitric
Strong bases: any very soluble hydroxide can be considered a strong base, so any first-column hydroxide (LiOH, NaOH, KOH, etc). The second-column hydroxides are usually soluble enough to be considered strong (magnesium hydroxide, calcium hydroxide, barium hydroxide), but I don't expect to make any fine distinctions on those, if I want to use a strong base on the exam it will be either NaOH or KOH.
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