Adverbs that don't require prepositions?

[karen]

English Language Tests, Intermediate level

ESL/EFL Test #205 "Prepositions of Time and Date (3)", question 1

......... yesterday, we went to the Royal Alberta Museum they had some really interesting exhibits.

(a) On
(b) For
(c) (none)

English Language Tests, Intermediate level

ESL/EFL Test #205 "Prepositions of Time and Date (3)", answer 1

Yesterday, we went to the Royal Alberta Museum they had some really interesting exhibits.

Correct answer: (c) (none)
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Adverbs that don't require prepositions?

karen

[Pamela]

such adverbs as

last night,
last year,
today,
yesterday
...

don't require prepositions