What is the value of a 1787 US quarter?

Answer 1

The first US quarters were dated 1796.

I'm willing to bet that you look more closely at your quarter you'll see that it has a picture of George Washington on the front and TWO dates on the back. It's a modern state quarter. 1787 is the date its state was admitted to the union. The other date is the year it was minted.

Any that you found in change are worth only 25 cents, except for the rare Delaware quarter with a rotated reverse design. This error can be confusing to determine, because all US Coins normally have their backs oriented 180 degrees opposite to the front. A rotated reverse points the same direction as the front design; that is, both sides point up (or point down) if you hold the coin and flip it like the page of a book.