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Without a serial number, the question can't be answered.
its worth about $180 its worth about $180
http://www.remington.com/library/history/firearm_models/
See information in related links on the Remington Society of America, date code table information.
Check barrel code on Remington Society of America: http://remingtonsociety.com/rsa/questions/barrelcodes
Check the date code on the barrel, see related links for the information on the Remington Society of America.
Here this listing of serial #'s fir the Remington Woodsmaster 742Serial Number Blocks:1951-1967 1,000-541,0001968-1975 6,900,000-7,499,9991975-1978 A6,900,000-A7,499,9991978-1981 B6,900,000-B7,499,999Just Find where you number falls in line with.Hope this helps
See related links for information on the Remington Society of America for understanding the date code stamps on the barrel.
Check this table for the answer: http://www.remingtonsociety.com/rsa/questions/barrelcodes
$300 without a scope in 95% condition!!
Check the date code stamp on barrel (see related link) by serial only a call to Remington can give you that answer.
They only made ~250K of them from 1955-1959 obviously that's near the end by serial I can't tell you but the barrel with be marked with the date code for month and year. See related links for details.