SR 513 begins at the intersection of Montlake Boulevard and Lake Washington Boulevard in the Montlake neighborhood of Seattle, part of a partial cloverleaf interchange with SR 520.
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SR 513 was created during the 1964 state highway renumbering as the successor to Secondary State Highway 1J (SSH 1J), itself created in 1937 and traveling from Downtown Seattle to Lake City.
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SR 513 continues past University Village before it turns northeast onto Sand Point Way and ends at the entrance to Magnuson Park in the Sand Point neighborhood.
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