It really depends, but most likely quite a bit if it is genuinely struck on a copper-nickel clad blank (since the US mint was still striking 90% silver quarters dated 1964 all the way until 1968ish it is certainly possible that one would be struck on the incorrect blank).
I'd take it to a reputable coin dealer and have him authenticate it or send it in to PCGS or NGC to have it graded, then shop around to high-end auction house and coin dealers. Your local Cash4Gold place is unlikely to pay an appropriate amount of money for it, so your best bet is something a bit more high end.
No 1964 U.S. quarters were copper clad. They were all 90% silver (it was the last year for silver quarters).
25 cents
25 cents
The value of a 1964 quarter depends on the current price of Silver. As of 2014, the value is approximately $4.00 to $6.00.
1964 is the most common silver Washington quarter, it's worth about $3.00
US silver quarters were struck form 1796-1964.
It is worth $5-6 in silver scrap. It is 90% silver.
1964 was the last year for silver quarters.
The value is only for the silver about $3.25
7-29-11>>> 1964 is the most common date for a silver Washington quarter. Most are valued for the silver only, at $6.00 as of today.
The U.S. has never struck a silver one cent coin. The coin has been plated and has no collectible value. The above is wrong. 1960 some pennies were accidentally stamped on dime casts. Also again in 1964. Also in 1964 there were 12 pennies made out of aluminum.
There is no coin called a "quater". If however you have a QUARTER, it's worth about $3 for the silver it contains.