Washington quarters were made of 90% silver from 1932 to 1964, but 1946 is not a rare year. In lower grades the coin's value is mostly determined by the value of the silver it contains.
Look on the back of the coin to see if there's a small mint mark letter below the bow in the wreath. It may be blank or there may be a D or S.
Numismedia lists the following approximate retail values as of 01/2013:
No mint mark (Philadelphia):
Very worn condition - $8.51
Moderately worn - $8.91
Slightly worn - $9.03
Almost no wear - $9.50
Uncirculated - $10.06 to $475.00 depending on quality
"D" mint mark (Denver):
Very worn - $8.51
Moderately worn - $8.91
Slightly worn - $9.03
Almost no wear - $9.50
Uncirculated - $10.06 to $4810.00
"S" mint mark (San Francisco):
Very worn - $8.51
Moderately worn - $8.91
Slightly worn - $9.03
Almost no wear - $9.50
Uncirculated - $10.06 to $3160.00
DISCLAIMER: The retail values quoted are the best available as of the date shown, but may vary due to market fluctuations. Also the wholesale (buying) price of a coin will be less than the selling (retail) price. A reputable coin dealer will be able to give a more accurate valuation based on inspection of the coin.
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